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IN DEGREE PROJECT MATERIALS SCIENCE AND ENGINEERING,SECOND CYCLE, 30 CREDITS

, STOCKHOLM SWEDEN 2018

Prestressed glue laminated beams reinforced with steel plates

Comparison between prestressed, reinforced and non-reinforced glue laminated beams according to the Eurocode and the Swedish annex

JAFAR AL-DJABER

NAJIB VEGHAR

KTH ROYAL INSTITUTE OF TECHNOLOGYSCHOOL OF ARCHITECTURE AND THE BUILT ENVIRONMENT

Latin lower case letters Parameter Definition Unit 𝑏 Width / Breadth 𝑚𝑚 𝑏𝑒𝑑 Horizontal edge distance to reinforcement 𝑚𝑚 𝑏𝑠 Width of steel reinforcement 𝑚𝑚 𝑏𝑠𝑡𝑠 Carved area where reinforcement is put 𝑚𝑚2 𝑒 Load eccentricity 𝑚𝑚 𝑓𝑐,0,𝑔,𝑑 Design compression strength parallel to grain 𝑀𝑃𝑎

𝑓𝑐,0,𝑔,𝑘 Characteristic compression strength parallel to grain 𝑀𝑃𝑎

𝑓𝑚,𝑔,𝑑 Design bending strenght 𝑀𝑃𝑎

𝑓𝑚,𝑔,𝑘 Characteristic bending strength 𝑀𝑃𝑎

𝑓𝑡,0,𝑔,𝑑 Design tension strength 𝑀𝑃𝑎

𝑓𝑡,0,𝑔,𝑘 Characteristic tension strength 𝑀𝑃𝑎

𝑓𝑣,𝑔,𝑑 Design shear strength 𝑀𝑃𝑎

𝑓𝑣,𝑔,𝑘 Characteristic shear strength 𝑀𝑃𝑎

𝑓𝑦 Yield strength 𝑀𝑃𝑎

ℎ Depth / height 𝑚𝑚 ℎ𝑙 Depth / height of a lamella 𝑚𝑚 𝑖1 Index for steel for transformed section - 𝑖𝑟 Index for reference material for transformed section - 𝑘 Instability factor - 𝑘𝑐𝑟 Factor accounting for influence of cracks on the shear strength of

member subjected to bending -

𝑘𝑑𝑒𝑓 Deformation factor -

𝑘ℎ Depth factor - 𝑘𝑚𝑜𝑑 Modification factor accounting for load duration and moisture

content -

𝑞𝐸𝑑 Design load with even distribution 𝑘𝑁/𝑚 𝑞𝐸𝑑,𝜔 Evenly distributed load with respect to deformation limit 𝑘𝑁/𝑚 𝑡𝑠 Thickness of reinforcement 𝑚𝑚 𝑧𝑓𝑖𝑐 Fictitious center of gravity, measured from an arbitrarily chosen

point of reference 𝑚𝑚

Latin upper case letters Parameter Definition Unit 𝐴𝑤 Cross sectional area of the web in the section, before

transformation 𝑚𝑚2

𝐺𝑚𝑒𝑎𝑛 Mean value of shear modulus 𝐺𝑃𝑎 𝐶𝐺 Centre of gravity 𝑚𝑚 𝐸𝐵 Stress check at bottom beam for beam type 3 - 𝐸𝑚𝑒𝑎𝑛 Mean value of modulus of elasticity 𝐺𝑃𝑎 ER Stress check at reinforcement level for beam type 3 - 𝐸𝑇 Stress check at top beam for beam type 3 - 𝐼𝑦 Second moment of area about the strong axis 𝑚𝑚4

𝐿 Beam span 𝑚𝑚 𝑃𝐸𝑑 Design point load 𝑘𝑁 𝑃𝐸𝑑,𝜔 Design load with respect to deformation limit 𝑘𝑁 𝑃𝑝𝑟𝑒 Prestressing axial force 𝑘𝑁

Red Reduction to account for relaxation losses of prestressed steel % 𝑆𝑦 First moment of area about the strong axis 𝑚𝑚3

𝑊𝑦 Section modulus about the strong axis 𝑚𝑚3

𝑋𝑓𝑖𝑛 Index for concept of final condition, to handle creep problem -

𝑋𝑖 About i-axis, (X-,Y- or Z- axis) - 𝑋𝑖𝑛𝑠𝑡 Index for concept of instantaneous condition, to handle creep

problem -

𝑋𝑆𝐿𝑆 Index for serviceability limit state - 𝑋𝑈𝐿𝑆 Index for ultimate limit state -

Greek lower case letters

Parameter Definition Unit 𝜎𝑐,0,𝑔,𝑑 Design compressive stress 𝑀𝑃𝑎

𝜎𝑀 Design bending stress 𝑀𝑃𝑎 𝜏𝑑 Design shear stress 𝑀𝑃𝑎 𝜔 Deformation 𝑚𝑚 𝜓2 Factor for quasi-permanent value of a variable action - 𝜔𝑚𝑎𝑥 Maximum deformation allowed according to recommendations 𝑚𝑚 𝜇 Parameter for concepts of instantaneous and final conditions - 𝛾𝑀 Partial factors for material properties and resistances - 𝛾𝑀0 Steel resistance of cross-section -

Table of Contents

Acknowledgements .................................................................................................................... 1

Abstract ...................................................................................................................................... 2

1 Introduction ........................................................................................................................ 3

1.1 Background .................................................................................................................. 3

1.2 Aim and goal ................................................................................................................ 3

1.3 Limitation ..................................................................................................................... 3

1.4 Relevant literature review ........................................................................................... 4

2 Methodology ....................................................................................................................... 7

2.1 Theoretical model ........................................................................................................ 8

2.2 Numerical model ....................................................................................................... 15

3 Results ............................................................................................................................... 16

4 Analysis ............................................................................................................................. 17

5 Conclusion ......................................................................................................................... 19

6 Future Research ................................................................................................................ 21

7 References ........................................................................................................................ 22

8 Swedish Summary – Sammanfattning .............................................................................. 23

9 Appendix ........................................................................................................................... 24

Appendix A, Result diagrams ...................................................................... A-1-to A-16

Appendix B, Result data ............................................................................... B-1 to B-30

Appendix C, Raw data .................................................................................. C-1 to C-68

Appendix D, PTC MathCad script ................................................................ D-1 to D-21

1

Acknowledgements We would like to express our gratitude to supervisor Bert Gunnar Norlin for his useful comments and reviews and thank Melissa Rude and Thaddeus Rude from the United States for proofreading the paper. Furthermore, we would like to thank Mr. Adam Ryan, known as user "Ajryan88" in

excelforum.com, for scripting an Excel macro to sort and filter the results of the calculations.

In recognition of his kindness, we have donated to the RiseForAlex Fund in addition to a gift.

Mr. Ryan invested many working hours into scripting a macro that automatically filters the

result database without the need to manually work with excel filtering. His script saved us

valuable time and eased much of our work.

2

Abstract The paper presents details of a numerical analysis and simplified construction of

strengthened glue laminated beams. Glue laminated beams are strengthened through the

use of steel reinforcements embedded between the lamellas of the beams. The study

compares the numerical results from reinforced and prestressed beams, simply reinforced

beams and non-modified beams. Parametric studies were undertaken to evaluate the effects

on reinforcement thickness, beam span, prestressing force and prestressing loss.

Modified and prestressed beams with wide spans and large dimensions had a significantly

higher design load compared to non-modified beams with similar geometry and span. In the

most beneficial cases, a load increase of 438% was observed for point load at midspan and

346% for uniformly distributed load.

3

1 Introduction

1.1 Background Many attempts have been made to improve the load capacity of glulam beams by adding

reinforcement. The reinforcements used have included metallic, organic and polymer

materials. Some reinforcement techniques are applied to existing glue laminated beams to

enhance load capacity by attaching the reinforcement onto the exterior of the wood

material, exposing the reinforcement to weather and fire risk. An alternative method is to

use embedded reinforcements inside the glue laminated beam making it possible to

prestress the reinforcement material and also provide protection from exposure to weather

and fire. Fiber-reinforced polymers (FRP) are ideal to use as a prestressing method due to

the high strength and stiffness of the FRP materials, but have lower prestressing capabilities

compared to steel reinforcement. The analysis of an embedded steel reinforcement is

evaluated in the paper due to most comparable and modern scientific reports covering

materials other than steel (mostly FRP materials).

1.2 Aim and goal The purpose of the paper is to present a large set of data to analyze the benefits of

prestressing and strengthening homogenous glue laminated beams and to provide

manufacturers and structural engineers with a set of data to analyze whether it is viable to

strengthen the beams with the presented method. The goal is to provide results for several

steel reinforcement thicknesses, beam spans and qualities to find the greatest load increase

for the modified beam compared to the non-modified beam.

1.3 Limitation The paper is focused on the structural analytical aspect of the steel reinforcement method.

1.3.1 Limitation in analysis Self-weight of the beam is excluded in the analysis. It is a small fraction of the total load and

the load increase is measured in percent of the original load before applying modifications to

the beam. The load duration was set to permanent without any variable loads to set 𝜓2, the

factor for quasi-permanent value, to “one” giving the same ultimate limit state and

serviceability limit state creep related factors. This is to reduce the results and make it easier

to interpret and draw clear conclusions from the results. No slip is assumed between

reinforcement material and glulam beam, the layers are assumed to have equal deflections.

The materials remain linear elastic and the calculation model is assumed as full composite

action giving overestimated capacity and underestimated deformation. Welding design and

the transfer of shear forces to welds have not been taken into account.

Prestressing a beam is favorable for fatigue resistance according to the authors’ previous

knowledge in concrete design but the effect and magnitude have not been studied in the

paper.

4

Calculations do not account for fire safety according to Eurocode 1995-1-2:2004 (Structural

fire design of timber structures). Practical aspects, manufacturing and cost analysis for the

reinforcement method are not part of the paper.

The script uses a numerical solution to a problem without taking into account whether the

values provided are of a practical use, therefore some design loads may be too small. The

script may obtain design loads below the self-weight of the beam.

1.3.2 Limitation in MathCad model Since there are infinite solutions for the reinforced and prestressed case, due to the

possibility of altering prestressing force, the program code was developed to calculate all

solutions for every 500 Newtons of change in the prestressing force, from 500 N to highest

possible. Some of the limitations in the model are only to decrease the amount of data

obtained and might be adjusted in the Mathcad worksheet to achieve more extended

results, such as scripts for iterations and increments for beam span and steel thickness. Pre-

camber was excluded throughout the calculations and the deformation limit was set to the

length divided by 500 for the instantaneous and divided by 300 for the final condition. The

deformation limit could be changed in the programming script. The result matrix is unitless

and the only way to obtain the corresponding units is to either study the MathCad script or

to export the result to the provided Excel sheet where the units are specified.

1.4 Relevant literature review An excessive literature study was carried out to analyze different prestressing methods and

their benefits and restrictions. Since the paper is according to the Eurocode, the literature

was only a tool to identify possible pitfalls that could alter the results in a way that would

make the paper of less scientific value. Many reports, especially when analyzing the

structures in finite element methods, made assumptions that impact the results with great

magnitude without further discussion, leaving the reader less confident in the outcome of

the paper. The reports regarding steel reinforcement were either made according to old

standards or had restrictions in the analysis, making the paper a complement to previous

knowledge, focusing on presenting engineering tools and a large set of numerical data of

interest to glulam manufacturers and structural engineers.

Some authors and researchers have studied the behavior and benefits of reinforced glue

laminated beams through the use of metal reinforcement. The flexural behavior of

unreinforced, reinforced and prestressed-reinforced glue laminated beams were studied

with the use of steel bars at a steel to timber ratio of approximately 1%. For the reinforced

and prestressed beams, the load increased about 40% (De Luca and Marano, 2011).

5

The disadvantage of using the presented reinforcement method is the need for adhesive

between the glulam and the metal rod (or rebar), making the manufacturing process more

time-consuming than friction-based connections due to adhesive dry time before load

application. The adhesive was allowed to set for one month before load application.

A study to analyze different types of metal reinforcement by wire mesh was conducted

where observations were made about the positioning of the reinforcement and its effect on

the properties of the laminated veneer lumber (Hu et al. 2010). The authors of this paper

had already taken into effect the height positioning and the impact of the reinforcement in

the planning phase.

A laboratory experimental study was conducted at the Lebanese American University where

reinforced glue laminated beams were subjected to destructive tests and identified possible

failure modes. One of the reinforcement techniques studied was reinforcement by a flat

surface steel plate with adhesive connected to the bottom of the glue laminated beam. A

bonding failure between the steel plate reinforcement and wood occurred, shown in Figure

1 (A.Issa and Kmeid, 2005).

Figure 1 ”Failure of the steel reinforced glulam beam”, (A.Issa and Kmeid, 2005, 103)

Strengthening solid timber beams through the use of high strength steel cord reinforcement

was executed in a laboratory experiment with different types of cords and adhesives. The

paper discussed some theories adapted in other reports to determine the ultimate bending

moment. One method is Bernoulli’s theorem where plane sections remain plane after being

strained (Borri and Corradi, 2011). Reinforcement methods can be divided into two

categories: those that yield benefits in local effects and those having global effects. Changes

affecting the global behavior of the beam are considered more beneficial due to affecting

the stiffness and overall behavior of the beam.

6

Beams prestressed by inserting compressed wooden blocks with low moisture content into

fitting holes in the glulam beam have been studied. The local prestressing affect is achieved

by swelling along the beam length when humidity equilibrium is achieved. Local effects are

obtained when implementing the modification of a beam with a load capacity increase of

around 11%. Delamination of the beam along with cracking occurred during a destructive

test (Anshari et al. 2011). The method requires a careful selection of wood without natural

defection and heating the reinforcement blocks to 180 °C. Dried wood requires complicated

logistic solutions or risks being exposed to humidity.

7

2 Methodology The concept of the reinforced beam is to use a main steel plate with welded thin toothed

plates, also known as punched metal plates, on each side for a friction-based connection

through hydraulic installment between the bottom lamellas of a glue laminated beam. A full

composite action can be ensured by using a large amount of small evenly distributed teeth,

thereby minimizing the risk of delamination or slip.

Figure 2 Principal construction sketch of the prestressed and modified glulam beam

To avoid any relaxation of the steel, all necessary welding should be performed before the

prestressing process. The reinforcement is added between the lamellas and pressed

hydraulically before connecting the bottom lamellas of a glulam beam.

The steel reinforcement placement is in the tension zone of the beam to manipulate the

fictitious cross section with a significant magnitude and to benefit from the deflection

caused by the prestressing. The fictitious cross section methodology scales the steel on a

geometric basis at a ratio between the elastic modulus for the materials compared. The

steel geometric values are scaled by the tens, giving the difference between the elastic

modulus for steel and glulam.

Two major benefits are protecting the reinforcement from fire exposure and reducing the

risk of bonding failure between the reinforcement and timber as shown in Figure 1.

The construction time is greatly reduced by using a hydraulic solution for the construction of

the reinforced beam instead of a metal to wood adhesive solution, due to lack of adhesive

set time before load application.

8

2.1 Theoretical model A theoretical model of the beam according to the Eurocode was established to evaluate the

increased strength of the glulam beam when modified. The model includes ultimate limit

state (ULS) and final limit state (SLS) with respect to stress and deformation. Three types of

beams were investigated for each homogenous glulam quality, span and dimension available

at a larger European glulam manufacturer according to standard BS EN 1194:1999.

The design shear strength is taken from the Swedish annex related to SS-EN 1194.

Beam type 1: non-modified homogenous glue laminated beam.

Beam type 2: strengthened and unstressed homogenous glue laminated beam, by steel

reinforcement.

Beam type 3: strengthened and pre-tensioned homogenous glue laminated beam, by steel

reinforcement.

2.1.1 Material properties When dealing with timber structures according to the Eurocode, the design value for

resistance (𝑅𝑑) is expressed as

𝑅𝑑 =𝑘𝑚𝑜𝑑𝑅𝑘𝛾𝑀

EN-1995-1-1:2004 (2.14)

Where 𝑘𝑚𝑜𝑑 is a modification factor that takes into account the effect of load duration and

moisture content, 𝑅𝑘 is the characteristic value of the load capacity, and 𝛾𝑀is the partial

factor for material property at the ULS. The values for glulam strength class are given in BS

EN 1194:1999.

At failure condition, ULS values of modulus of elasticity and shear modulus are the fifth

percentage values while at SLS the design values are the mean values.

Equation for mean final value at the SLS condition (𝑋𝑚𝑒𝑎𝑛,𝑆𝐿𝑆,𝑓𝑖𝑛) for shear modulus and

modulus of elasticity are defined as

𝑋𝑚𝑒𝑎𝑛,𝑆𝐿𝑆,𝑓𝑖𝑛 =𝑋𝑚𝑒𝑎𝑛1 + 𝑘𝑑𝑒𝑓

EN-1995-1-1:2004 (2.7)

9

Equation for fifth percentile final value at the ULS condition (𝑋0.05,𝑈𝐿𝑆,𝑓𝑖𝑛) for shear modulus

and modulus of elasticity are defined as

𝑋0.05,𝑈𝐿𝑆,𝑓𝑖𝑛 =𝑋0.05

1 + 𝜓2𝑘𝑑𝑒𝑓 EN-1995-1-1:2004 (2.10)

Where 𝜓2 is the factor for the quasi-permanent value of the variable action causing the

largest stress in relation to the strength, given in Eurocode 0 (EC0). The value is set to 1.0 for

permanent load. Deformation factor 𝑘𝑑𝑒𝑓 is dependent upon the choice of service class and

is given in Table 3.2, Eurocode 5 (EC5). The value is set to 0.6 and corresponds to the

deformation factor for glued-laminated timber in service class 1.

For strength related calculation, the fifth percentile for the shear modulus is defined as

𝐺0.05 =𝐸0.0516

2.1.2 Geometric properties For beam type 1, the second moment of area (𝐼𝑦) and the section modulus (𝑊𝑦) are defined

as

𝐼𝑦 =𝑏ℎ3

12, 𝑊𝑦 =

𝑏ℎ2

6

Beam type 2 and 3

For reinforced beams containing materials with different elastic modulus, such as steel and

glulam beam, the analysis is simplified by transforming the real cross section to a fictitious

cross section where the width of the steel is changed such that the same modulus of

elasticity is achieved through the entire section. The stresses for the fictitious section are

assumed to be uniformly distributed along the fictitious width and must be distributed over

the real width. When dealing with fictitious cross sections, it is recommended to use the

mean values of the modulus for each material instead of the lower fifth percentile.

10

EC5 uses the concepts of instantaneous and final conditions to handle creep phenomenon,

referred to in the paper and MathCad script as “inst” and “fin” (Crocetti et al. 2011, 5.4).

Parameter 𝜇1 for concepts of inst and fin conditions is defined as

𝜇1,𝑈𝐿𝑆,𝑖𝑛𝑠𝑡 = 𝜇1,𝑆𝐿𝑆,𝑖𝑛𝑠𝑡 =𝐸𝑠,𝑚𝑒𝑎𝑛𝐸𝑚𝑒𝑎𝑛

𝜇1,𝑈𝐿𝑆,𝑓𝑖𝑛 =𝐸𝑠,𝑚𝑒𝑎𝑛(1 + 𝜓2𝑘𝑑𝑒𝑓)

𝐸𝑚𝑒𝑎𝑛(1 + 𝜓2𝑘𝑠,𝑑𝑒𝑓)

𝜇1,𝑆𝐿𝑆,𝑓𝑖𝑛 =𝐸𝑠,𝑚𝑒𝑎𝑛(1 + 𝑘𝑑𝑒𝑓)

𝐸𝑚𝑒𝑎𝑛(1 + 𝑘𝑠,𝑑𝑒𝑓)

When permanent load is applied, the factor for quasi-permanent value (𝜓2) is 1.0.

Therefore, 𝜇1 is the same for ULS and SLS under fin condition.

Since the value for 𝜇1 is dependent upon inst and fin state, the center of gravity, second

moment of inertia and bending stiffness must be calculated for both states with Steiner’s

theorem.

Figure 3 Fictitious cross-section about the y-y axis with the glulam part as the reference material

The fictitious center of gravity about the y-y axis, with the zero point at the bottom of the

homogenous glue laminated beam:

𝑏ℎℎ

2− 𝑡𝑠𝑏𝑠ℎ𝑙 + 𝑡𝑠𝜇1𝑏𝑠ℎ𝑙 = 𝑧𝑓𝑖𝑐(𝑏ℎ + 𝜇1𝑏𝑠𝑡𝑠 − 𝑏𝑠𝑡𝑠)

Center of gravity for each part according to Error! Reference source not found.:

𝐶𝐺𝑧,1 =ℎ𝑙 −

𝑡𝑠2

2 , 𝐶𝐺𝑧,2 = ℎ −

ℎ − ℎ𝑙 −𝑡𝑠2

2 , 𝐶𝐺𝑧,3 = 𝐶𝐺𝑧,4 = ℎ𝑙

11

Fictitious second moment of area about the y-y axis:

𝐼𝑦,𝐶𝐺𝑧,1 =𝑏 (ℎ𝑙 −

𝑡𝑠2)3

12+ 𝑏 (ℎ𝑙 −

𝑡𝑠2) (𝑧𝑓𝑖𝑐 − 𝐶𝐺𝑧,1)

2

𝐼𝑦,𝐶𝐺𝑧,2 =𝑏 (ℎ − ℎ𝑙 −

𝑡𝑠2)3

12+ 𝑏 (ℎ − ℎ𝑙 −

𝑡𝑠2) (𝑧𝑓𝑖𝑐 − 𝐶𝐺𝑧,2)

2

𝐼𝑦,𝐶𝐺𝑧,3 =𝑏𝑒𝑑𝑡𝑠

3

12+ 𝑏𝑒𝑑𝑡𝑠(𝑧𝑓𝑖𝑐 − 𝐶𝐺𝑧,3)

2

𝐼𝑦,𝐶𝐺𝑧,4 =𝜇1𝑏𝑠𝑡𝑠

3

12+ (𝜇1𝑏𝑠)𝑡𝑠(𝑧𝑓𝑖𝑐 − 𝐶𝐺𝑧,4)

2

𝐼𝑦 =∑𝐼𝑦,𝐶𝐺𝑧,𝑖

4

𝑖=1

= 𝐼𝑦,𝐶𝐺𝑧,1 + 𝐼𝑦,𝐶𝐺𝑧,2 + 2(𝐼𝑦,𝐶𝐺𝑧,3) + 𝐼𝑦,𝐶𝐺𝑧,4

The fictitious section modulus about the y-y axis:

𝑊𝑦,𝑚𝑜𝑑,𝑏𝑜𝑡 =𝐼𝑦𝑧𝑓𝑖𝑐

𝑊𝑦,𝑚𝑜𝑑,𝑡𝑜𝑝 =𝐼𝑦

ℎ − 𝑧𝑓𝑖𝑐

Value at steel level defined as;

𝑊𝑦,𝑚𝑜𝑑,𝑟𝑒𝑖 =𝐼𝑦

𝑧𝑓𝑖𝑐 − ℎ𝑙

12

2.1.3 Modification factors Size factor for depth less than 600mm, else the size factor is 1.0:

𝑘ℎ = 𝑚𝑖𝑛 {

1.1

(600𝑚𝑚

ℎ)0.1 EN-1995-1-1:2004 (3.1)

Influence of cracks, according to Swedish Annex:

𝑘𝑐𝑟 = 𝑚𝑖𝑛

{

1.0

(3.0𝑀𝑃𝑎

𝑓𝑣,𝑔,𝑘) BFS 2015: 6-EKS 10 (6.1.7(2))

2.1.4 Actions Design bending stress about y-y axis for all beam types are defined.

For point load at mid span:

𝜎𝑀 =𝑀𝑠𝑑

𝑊𝑦=𝑃𝐸𝑑𝐿

4𝑊𝑦

For uniformly distributed load:

𝜎𝑀 =𝑀𝑠𝑑

𝑊𝑦=𝑞𝐸𝑑𝐿

2

8𝑊𝑦

Design bending stress about the y-y axis caused by prestressing force for beam type 3 is

defined.

𝜎𝑀.𝑝𝑟𝑒 =𝑃𝑝𝑟𝑒𝑒

𝑊𝑦

Where 𝑒 is the fictitious load eccentricity about the y-y axis, defined as

𝑒 = 𝑧𝑓𝑖𝑐 − ℎ𝑙

The smallest fictitious section modulus between bottom value (𝑊𝑦,𝑚𝑜𝑑,𝑏𝑜𝑡) and

top value (𝑊𝑦,𝑚𝑜𝑑,𝑡𝑜𝑝) is chosen for beam type 2. For beam type 3, a stress check is

performed, see 2.1.5 Design criterion.

Design shear stress about y-y axis for all beam types are defined as

𝜏𝑑 =𝑉𝑑𝑆𝑦𝑏𝐼𝑦𝑘𝑐𝑟

13

Where 𝐼𝑦 is the fictitious cross section and 𝑆𝑦 is the first order moment (see Appendix D

page D-6). To simplify the equations, the prestressing force is assumed to have no influence

on the shear stress.

Design compression stress about the y-y axis caused by prestressing force for beam type 3 is

defined.

𝜎𝑐 =𝑃𝑝𝑟𝑒𝑏ℎ

2.1.5 Design criterion Design criterion with respect to moment resistance

𝜎𝑀 ≤ 𝑓𝑚,𝑑𝑘ℎ

Design criterion with respect to shear resistance at support

𝜏𝑑 ≤ 𝑓𝑣,𝑔,𝑑

Design criterion for beams subjected to combined bending moment and compression should

be satisfied.

Stress check at top beam for beam type 3, according to EN 1995-1-1 (6.35):

Equation labeled as 𝐸𝑇 in appendix D page D-8

𝜎𝑀 − 𝜎𝑀.𝑝𝑟𝑒𝑓𝑚,𝑔,𝑑𝑘ℎ

+ (𝜎𝑐

𝑓𝑐,0,𝑔,𝑑)

2

≤ 1

Fictitious section modulus (𝑊𝑦,𝑚𝑜𝑑,𝑡𝑜𝑝) at top beam is used to calculate the design bending

stress.

Stress check at bottom beam for beam type 3:

Equation labeled as 𝐸𝐵 in appendix D page D-8

−𝜎𝑀 + 𝜎𝑀.𝑝𝑟𝑒𝑓𝑚,𝑔,𝑑𝑘ℎ

+ (𝜎𝑐

𝑓𝑐,0,𝑔,𝑑)

2

≤ 1

Fictitious section modulus (𝑊𝑦,𝑚𝑜𝑑,𝑏𝑜𝑡) at bottom beam is used to calculate the design

bending stress.

14

Stress check at reinforcement level for beam type 3:

Equation labeled as 𝐸𝑅 in appendix D page D-8

−𝜎𝑀 + 𝜎𝑀.𝑝𝑟𝑒𝑓𝑦𝛾𝑀0

+ (𝜎𝑐𝑓𝑦𝛾𝑀0

)

2

≤ 1

Fictitious section modulus (𝑊𝑦,𝑚𝑜𝑑,𝑟𝑒𝑖) at reinforcement level is used to calculate the design

bending stress.

The equations 𝐸𝐵 and 𝐸𝑅 may give negative values for allowable bending moment stress

ratio but cannot be considered favorable in equation (6.35). The equations have been

modified in Appendix D page D-8 to obtain absolute values for allowable bending moment

stress ratio.

2.1.6 Deformation Mean values for shear modulus and modulus of elasticity are used in the deformation check,

a SLS problem for both inst and fin conditions.

Bending deflection caused by a point load at midpoint

𝜔 =𝑃𝐸𝑑𝐿

3

48𝐸𝑚𝑒𝑎𝑛𝐼𝑦+

𝑃𝐸𝑑𝐿

4𝐴𝑤𝐺𝑚𝑒𝑎𝑛

Where 𝐴𝑤 is the cross-sectional area of the web in the section before transformation,

assumed as the real cross-section.

Bending deflection caused by a uniformly distributed load

𝜔 =5𝑞𝐸𝑑𝐿

4

384𝐸𝑚𝑒𝑎𝑛𝐼𝑦+

𝑞𝐸𝑑𝐿2

8𝐴𝑤𝐺𝑚𝑒𝑎𝑛

Negative bending deflection, at midpoint caused by prestressing force for beam type 3

𝜔 =𝑃𝑝𝑟𝑒𝑒𝐿

2

8𝐸𝑚𝑒𝑎𝑛𝐼𝑦

15

2.2 Numerical model A numerical model in MathCad was the primary tool used to evaluate the benefit of the

prestressing theory (see appendix D).

2.2.1 MathCad model The functions used in the numerical MathCad script in appendix D are described and

explained on the script sheets. The reader is recommended to view the script to have an

understanding of the functions and the results obtained. The MathCad script is divided into

three different files that are linked with scripting: one for input and output, one for defining

the equations, and the last for executing the full calculations according to the analytical

model with automated scripting functions that loop for every increment change in each of

the varying values.

MathCad sheet “UseMe.xmcd”

The input file is labeled as UseMe.xmcd (see appendix D page D-1 to D-3). It contains the

necessary input values for beam dimension and material properties for both steel and

timber, Eurocode partial factors that may depend on the National Annex and deformation

limits.

The input file executes the calculation command and performs the export of completed data

to Excel. The Output section of the worksheet transforms the full and unitless data matrix

into strings for export to Excel.

Programming script, part 1 “Script_part1.xmcd”

The programming script contains all equations needed to perform the calculation in a

function style scripting method (see appendix D page D-4 to D-11). The script does not

perform any calculations. It only defines functions to be later used. Geometric, modification

factors, action and deformation design equations are defined in the worksheet.

The file contains some programming utilities of significance for creating increments, vectors

and optimizations including matrix related functions to add labels and input data to the

result matrix. The last segment of the file includes output functions to organize the results

obtained.

Programming script, part 2 “Script_part2.xmcd”

With the previously defined equations, a final function is defined for every beam type and

loading condition. The final function performs calculation tasks and returns a set of result

data to the input file. Due to scripting limitations in MathCad, the final result matrix is

unitless and the units have been defined in the Excel sheet (see appendix D page D-12 to

D-21). The resulting matrices are unfiltered with a large set of increments of the prestressing

force.

16

2.2.2 Excel filter macro An Excel macro was made for filtering the results for beam type three and choosing the most

beneficial prestressing force among those calculated. Some manual sorting of data was

performed to compare the different beam types with a non-modified beam with increased

number of lamellas. In the interest of a quick, precise answer, it is recommended to filter

one beam dimension at a time. Appendix B to C are exported from the Excel file.

3 Results Due to the high number of interactions and different beam geometries, beam types and a

variation in steel reinforcement thickness, the results have been included in appendix A

(page A-1 to A-12) as charts and in Appendix B as tables.

17

4 Analysis When applying a filtering function to the results in Excel with respect to highest load

increase, there is a pattern among the beams with the most advantage. The selected cases

studied are beams in the final limit state (SLS).

Comparisons with increased number of lamellas have been made to have a logical

understanding of the improvement for the different reinforcement techniques. Increasing

the number of lamellas may be a less demanding than the reinforcement techniques

presented in the paper. The author and reader can determine if the presented

reinforcement techniques are viable for some geometrical conditions and beam spans.

A limitation occurs when comparing results from increased number of lamellas when

reaching max height of every beam width and span calculated because there is no data to

obtain from the results in Appendix B. In some cases, the maximum beam height in Appendix

B is 495 mm and there is no reference to obtain from a higher beam with the same quality,

width and span. The same logic is applied for the second highest beam. Only one reference

with one extra lamella is possible to obtain from the results in Appendix B.

Appendix A page A-13 to A-16 contains charts to analyze the behavior of some beam

geometries and spans for all satisfactory solutions with a prestressing force increment of one

kilo Newton. The script was engineered to export the most beneficial results to minimize the

number of exported values. For some geometries and spams thousands of satisfactory

solutions where calculated.

A higher quality steel reinforcement is preferred due to increased design resistance and

decreased deflection when engineering steel structures, according to the Eurocode standard

for steel structures (i.e. BS EN 1993-1-1:2005 (E) equation 6.55).

Changing the yield strength of steel does not affect the elastic modulus when adapting the

fictitious cross section theory for the steel reinforcement, as the yield strength of the steel

material no longer affects the design strength other than improving the stress check at

reinforcement level, according to EN 1995-1-1 (6.35).

A stress analysis is performed between load and resistance in the wood engineering, and the

fictitious cross section theory takes into effect the elastic modulus ratio between the glulam

and steel. The elastic modulus for a steel material remains the same if another steel quality

is chosen.

When transmuting the steel reinforcement to a fictitious material with increased geometry

values to be considered as a glulam material, the effect of the yield strength is lost. A

laboratory experiment could be performed to take into consideration the effect of improved

steel quality and to redefine the theory for future research. Another method is to use a well-

defined finite element solution to the problem where the focus is to accurately and

reasonably determine the parametric values and coefficients needed for the simulation of

the steel to wood behavior.

18

4.1 Prestressing analysis The prestressing analysis is included in Appendix A page A-13 to A-16 as charts for some

beam geometries and spans.

Figure 4 Prestressing analysis chart for beam GL24h 65x225 with 5m span, point load at midspan, see Appendix A.

Some observations are made in the prestressing analysis that are valid for every chart and

beam type analyzed. A larger steel reinforcement thickness is beneficial for smaller

prestressing forces between 0 kN up to a certain point, here called point A. A smaller steel

reinforcement thickness is most beneficial for prestressing forces above point A. The location

of point A in the prestressing force increment spectrum varies from one beam geometry to

another. As Figure 4 shows, point A is approximately at a prestressing force of 40 kN for

beam GL24h 65x225 mm and with the span of 5 meters with a point load at midspan and

steel reinforcement types as described in the paper.

In some of the analyzed beams, the increase in loading capacity from prestressing force

equal to zero up to point A is linear (𝑦 = 𝑚𝑥 + 𝑐), while in other cases the increase is

parabolic (𝑦 = −𝑚𝑥2 + 𝑛𝑥 + 𝑐). The shape of the increase may be affected by what failure

mode is achieved first in the satisfactory solution.

The most beneficial result (maximum point on the y-axis) and highest loading capacity in the

analyzed beams occurred always beyond point A, here called point B. Point B may

hypothetically overlap with point A if no satisfactory solutions are obtained for further

prestressing increments. Point B may occur before a fictitious location of point A. This

scenario may hypothetically occur if the beam capacity of different steel thickness cases

merge outside the satisfactory solution boundary.

19

In all of the analyzed cases, the most beneficial result was the one with steel reinforcement

thickness of 10 mm for beam type 3. A larger reinforcement thickness brings the fictitious

center of gravity of the beam closer to the reinforcement level causing a smaller lever, and a

smaller design bending stress caused by prestressing force and eccentricity 𝜎𝑀.𝑝𝑟𝑒. If the

design stress check (according to 2.1.5 Design criterion) is at top beam then a smaller

reinforcement thickness will give the most beneficial results (maximum y-value in Figure 4)

and that was the case for all prestressing analysis.

4.2 Most beneficial results Some observations are made by studying the visualized results in the charts provided in

appendix A page A-1 to A-12 or the numerical values provided in appendix B.

A larger steel reinforcement thickness is advantageous to the beam capacity for all studied

dimensions and spans for beam type 2. Increasing the beam span for a specific geometry

resulted in a higher load capacity increase for beam type 2 in percentage to an unmodified

glulam beam with corresponding geometry and span.

A smaller steel reinforcement thickness is advantageous to the beam capacity for all studied

dimensions and spans for beam type 3, with a steel thickness of 10 mm (see 4.1 Prestressing

analysis). Increasing the beam span resulted in a higher beam capacity increase for all beams

in beam type 3 in comparison to beam type 1.

The most beneficial load capacity increase among all beam type 2 data is found at large

dimensions and spans. Beam GL28h 115x405 mm with the span of 9 m had a load increase of

106% for point load at midspan and 105% for uniformly distributed load. The load increase

values are calculated in Appendix B.

Results for beam type 3 were always higher than adding one lamella except for beam quality

GL24h, dimension 65x225 mm and a span of 2 to 2.5 meters.

The most beneficial load capacity increase among all beam type 3 data is found at large

dimensions and spans. Beam GL28h 90x360 mm with the span of 11m had a load increase of

438% for point load at midspan and 346% for uniformly distributed load.

4.3 Least beneficial results The load capacity increase for beam type 2 is smaller than the load capacity increase when

adding a lamella (where comparison to a larger height is applicable) in the case of a small

beam geometry, span and a low beam quality (see results for glulam beams with the quality

GL24h, dimensions 65x225 mm and 65x270 mm around the span of 2 meters in Appendix A

page A-1 and A-7).

20

5 Conclusion With the defined methodology, benefits of up to 438% to load increase is achieved for

beams with wider spans affected by point load at midpoint and up to 346% for similar beams

affected by a uniformly distributed load. Adding an extra lamella proved more beneficial

than reinforcing the beam in some cases with short spans and slim cross sections.

The adapted fictitious cross section theory does not take into account the yield strength of

the chosen steel quality other than in the stress check equations, giving all results in the

lowest possible steel grade from the input data (due to the MathCad functions used). The

main benefit of beams type 2 and 3 is obtained through the fictitious cross section due to

the elastic modulus of the steel being larger than the glulam elastic modulus by

approximately 20 times.

The prestressed strengthening method studied in the presented paper is assumed to not

improve the shear capacity of a glue laminated beam. Design loads provided in appendix A

may exceed the design criterion with respect to shear resistance at the support. There are

several implemented reinforcement methods not discussed in the paper that are available to

strengthen a glue laminated beam with respect to shear resistance at the supports.

A slender beam combined with the edge fire safety distance to reinforcement limits the

fictitious cross section increase. Therefore, a limited steel reinforcement width is possible.

The edge distance to steel reinforcement with respect to fire safety is a larger percentage of

the total width of a slender beam compared to a wider beam. A logical conclusion based on

the safety edge distance aspect, is that wider beams will benefit from steel reinforcement.

A unified conclusion cannot be made for all cases. In some cases where comparison is

possible to increased beam height in appendix A, the reinforcement method for beam type 3

had a significantly greater value than adding extra lamellas to the beam height, making it a

viable reinforcement option from a structural engineering standpoint. In other few cases,

the use of the reinforcement methods in beam type 2 or 3 had a smaller value than adding

one or two extra lamellas but may have a practical use if there are requests in other

disciplines that limit the cross sections of a beam to be engineered.

21

6 Future Research More accurate prestressing loss, expand the model to account for reinforced non-

homogenous glue laminated beams. Expand the model to calculate variable loads and

different load cases. Expand the model to adapt to fire safety according to

Eurocode 1995-1-2:2004 (or newer versions). Expand the model to approximate the real

behavior between steel and timber with possibility for slip. Expand the model to adapt for

the risk of the lower lamella fracturing due to prestressing force if a certain amount of the

lower lamella is removed. Modeling of the prestressing force, with respect to economic

analysis, to determine the value of increasing the beam dimension versus the work load and

cost of the reinforcement technique presented in the paper.

By assuming full composite action, the capacity is overestimated and the deformation is

underestimated for the reinforced cases. The error is in reality too large to be disregarded

but using many small tooth-plated connectors with the glued area would decrease the error.

The main aim of the thesis is to study if the modification method used gives any noticeable

result. A more accurate analysis could be performed later by modifying the MathCad script.

A modification of the numerical methodology presented, mainly the fictitious cross section

equations, is strongly advised to take into account the benefit of a higher-grade steel to

obtain more beneficial results for beam type 3 due to utilization from a higher yield strength.

The MathCad script can be improved by adding the type of the chosen design criterion on

each beam case to help analyze the data.

Studying the effect of fatigue behavior on modified glulam beams compared to a non-

modified glulam beams may provide an alternative use of the beam concept.

22

7 References Anshari, Guan, Kitamori, Jung and Komatsu. 2011. Structural behavior of glued laminated

timber beams pre-stressed by compressed wood. Construction and Building Materials 29

(2012) 24-32. University of Liverpool (UK), Kyoto University (Japan), University of Mataram

(Indonesia) and Shizuoka University (Japan). Elsevier Ltd.

BFS 2015:6 – EKS 10 (2015), Boverkets författningssamling (Swedish Annex to the Eurocode),

Boverket.

Borri and Corradi. 2011. Strengthening of timber beams with high strength steel cords.

Composites: Part B 42 (2011) 1480-1491. University of Perugia, Italy. Elsevier Ltd.

Crocetti, Johansson, Kliger, Mårtensson, Norlin, Pousette and Thelandersson. 2011. Design

of timber structures. Swedish wood.

De Luca and Marano. 2011. Prestressed glulam timbers reinforced with steel bars.

Construction and Building Materials 30 (2012) 206-217. University of Basilicata, Italy. Elsevier

Ltd.

EN 1995 (2004), Eurocode 5 – Design of timber structures, European Committee for

Standardization.

Hu, Li, Cheng and Zhang. 2010. Design and property analysis of the metal mesh reinforced

LVL. Advanced Materials Research Vols 113-114 (2010) 2145-2149. Northeast Forestry

University, Harbin, China. Trans Tech Publications.

Issa and Kmeid. 2004. Advanced wood engineering: glulam beams. Construction and Building

Materials 19 (2005) 99-106. Lebanese American University, Byblos, Lebanon. Elsevier Ltd.

Porteous Jack & Kermani Abdy. 2009. Structural Timber Design to Eurocode 5. Edition 3.

Blackwell Science Ltd.

23

8 Swedish Summary – Sammanfattning Vetenskapsrapporten analyserar numeriska nyttan av armerade och förspännda limträbalkar

med stålband försedda med ståltänder. Jämförelse mellan förspända och armerade samt

endast armerade balkars görs med icke modifierade limträbalkar. Resultatpåverkan av

varierande spännvidder, tvärsnittsgeometrier och armeringstjocklekar utvärderas med hjälp

av en Mathcadskript för två lastfall; fritt upplagd balk med punktkraft i balkmitt och en jämnt

utbredd last över balklängden. En jämförelse mellan den procentuella lastökningen

tillämpas även för ett ökat antal lameller för respektive balk.

I huvuddel består teorin av att transmutera stålets geometri till en kvotrelaterad storhet där

elasticitetmodulen för ingående stål- och trämaterial beaktas. Vidare antas den armerade

balken vara homogen till följd av tillämpningen av den fiktiva tvärsnittsteorin.

Rapporten beaktar endast den analytiska metodiken utan hänsyn till kostnads- eller

arbetsrelaterade aspekter.

Fördelar i bärförmåga noterades där mest fördelaktiva värden för punktlast i balkmitt

uppgick till 438% i bärförmågeökning och 346% i bärförmågeökning vid jämnt fördelad last.

Noteringarna gjordes för långa balkar med grövre dimensioner och tunnare stålförstärkning.

En förspänningsanalys dokumenterade att tunnare stål gav högre bärförmåga än tjockare

armeringsförstärkning för analyserade förspända och modifierade limträbalkar. Vilket

förklaras av att det fiktiva tvärtsnittets tyngdpunkt hade en mindre värdeminskning än

balkar med grövre stålarmering och därmed nyttjades en högre hävarm till den excentriska

stålförspänningen, något som var gynnsamt för det aktuella spänningsbrottmoden.

24

9 Appendix Relevant information about the attached appendixes

Appendix A, Result diagrams

All charts are based on final limit state values. For beam type 3, values are without reduction

for prestressing losses due to relaxation. Red is set to 0%.

Page A-1 to A-12 are final solution charts providing the most beneficial prestressing force for

each beam dimension and span.

Page A-13 to A-16 are charts for some of the beam dimensions and spans showing the effect

of prestressing with the increment of 1 kN. The number of satisfactory solutions calculated

for each chart are presented in Table 1.

Table 1 Number of solutions calculated to create the charts in appendix A page A-13 to A-16.

Number of solutions presented in the charts

Quality Dim. Span (m) Point load at midspan

Uniformly distri. load

GL24h 65x225 2 409 409

GL24h 65x225 5 403 405

GL24h 65x315 2 563 563

GL24h 65x315 5 567 550

GL28h 90x270 5 748 738

GL28h 90x270 8 744 744

GL28h 90x495 5 1203 1220

GL28h 90x495 8 1215 1216

GL28h 115x270 5 952 952

GL28h 115x270 8 948 948

GL28h 115x495 5 1583 1583

GL28h 115x495 8 1573 1579

Appendix B, Result data

Appendix B is a comparison of the raw data in appendix C for beam type 1, 2 and 3

presented in the same row, including values when adding one or two lamellas to the beam

(if data is available at appendix C). Values that are faded out in color are identical to the

value on the row above. New beam dimensions (width and height) are marked with a color

highlight. The load increase is given, and a value of 100% means double the capacity.

Appendix C, Raw data

Raw data where the most beneficial solution for the prestressing increment on each beam

dimension and span is exported to the appendix. Appendix C is used to calculate percentage

gain in appendix B and to make the final solution charts in appendix A page A-1 to A-12.

Beam type 2 Beam type 3, no relaxation

GL2

4h

65

x2

25

GL2

4h

65

x2

70

GL2

4h

65

x3

15

0

25

50

75

100

2 3 4 5

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

2 3 4 5

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

2 3 4 5 6

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

2 3 4 5 6

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

2 3 4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

2 3 4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

Appendix A, Result diagrams Point load at midpoint

A-1


GL2

8h

90

x2

25

GL2

8h

90

x2

70

GL2

8h

90

x3

15

0

25

50

75

100

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m


A-2


GL2

8h

90

x3

60

GL2

8h

90

x4

05

GL2

8h

90

x4

50

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m


A-3


GL2

8h

90

x4

95

GL2

8h

11

5x2

25

GL2

8h

11

5x2

70

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m


A-4


GL2

8h

11

5x3

15

GL2

8h

11

5x3

60

GL2

8h

11

5x4

05

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m


A-5


GL2

8h

11

5x4

50

GL2

8h

11

5x4

95

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m


A-6


GL2

4h

65

x2

25

GL2

4h

65

x2

70

GL2

4h

65

x3

15

0

25

50

75

100

2 3 4 5

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

2 3 4 5

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

2 3 4 5 6

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

2 3 4 5 6

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

2 4 6

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

2 4 6

Loa

d i

ncr

ea

se %

Beam span m

Appendix A, Result diagrams Uniformly distributed load

A-7


GL2

8h

90

x2

25

GL2

8h

90

x2

70

GL2

8h

90

x3

15

0

25

50

75

100

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m


A-8


GL2

8h

90

x3

60

GL2

8h

90

x4

05

GL2

8h

90

x4

50

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

450

500

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

450

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0.0

50.0

100.0

150.0

200.0

250.0

300.0

350.0

400.0

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m


A-9


GL2

8h

90

x4

95

GL2

8h

11

5x2

25

GL2

8h

11

5x2

70

0

25

50

75

100

125

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0.0

50.0

100.0

150.0

200.0

250.0

300.0

350.0

4 5 6 7 8 9 10 11

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

4 5 6 7 8

Loa

d i

ncr

ea

se %

Beam span m


A-10


GL2

8h

11

5x3

15

GL2

8h

11

5x3

60

GL2

8h

11

5x4

05

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

400

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

50

100

150

200

250

300

350

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m


A-11


GL2

8h

11

5x4

50

GL2

8h

11

5x4

95

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0.0

50.0

100.0

150.0

200.0

250.0

300.0

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0

25

50

75

100

125

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m

0.0

50.0

100.0

150.0

200.0

250.0

300.0

4 5 6 7 8 9

Loa

d i

ncr

ea

se %

Beam span m


A-12

Point load at midspan Uniformly distributed load

GL2

4h 6

5x22

5 L

= 2m

GL2

4h 6

5x22

5 L

= 5m

GL2

4h 6

5x31

5 L

= 2m

0

5

10

15

20

0 50 100 150 200

P.Ed

kN

P.pre kN

0

5

10

15

20

0 50 100 150 200

q.Ed

kN

/m

P.pre kN

0

2

4

6

8

10

0 50 100 150 200

P.Ed

kN

P.pre kN

0

1

2

3

4

5

0 50 100 150 200

q.Ed

kN

/m

P.pre kN

0

10

20

30

40

50

0 50 100 150 200

P.Ed

kN

P.pre kN

0

10

20

30

40

50

0 50 100 150 200

q.Ed

kN

/m

P.pre kN

Appendix A, Result diagrams Prestressing force increment

A-13


GL2

4h 6

5x31

5 L

= 5m

GL2

8h 9

0x27

0 L

= 5m

GL2

8h 9

0x27

0 L

= 8m

0

5

10

15

20

0 50 100 150 200

P.Ed

kN

P.pre kN

0

2

4

6

8

10

0 50 100 150 200

q.Ed

kN

/m

P.pre kN

0

5

10

15

20

0 100 200 300

P.Ed

kN

P.pre kN

0

2

4

6

8

10

0 100 200 300

q.Ed

kN

/m

P.pre kN

0

5

10

15

20

0 100 200 300

P.Ed

kN

P.pre kN

0

1

2

3

4

5

0 100 200 300

q.Ed

kN

/m

P.pre kN


A-14


GL2

8h 9

0x49

5 L

= 5m

GL2

8h 9

0x49

5 L

= 8m

GL2

8h 1

15x2

70 L

= 5

m

0

20

40

60

80

100

0 100 200 300 400 500

P.Ed

kN

P.pre kN

0

10

20

30

40

50

0 100 200 300 400 500

q.Ed

kN

/m

P.pre kN

0

10

20

30

40

50

0 100 200 300 400 500

P.Ed

kN

P.pre kN

0

5

10

15

20

0 100 200 300 400 500

q.Ed

kN

/m

P.pre kN

0

5

10

15

20

25

30

0 100 200 300 400 500

P.Ed

kN

P.pre kN

0

2

4

6

8

10

0 100 200 300 400 500

q.Ed

kN

/m

P.pre kN


A-15


GL2

8h 1

15x2

70 L

= 8

m

GL2

8h 1

15x4

95 L

= 5

m

GL2

8h 1

15x4

95 L

= 8

m

0

5

10

15

20

0 100 200 300 400 500

P.Ed

kN

P.pre kN

0

1

2

3

4

5

0 100 200 300 400 500

q.Ed

kN

/m

P.pre kN

0

20

40

60

80

100

0 200 400 600 800 1000

P.Ed

kN

P.pre kN

0

10

20

30

40

0 200 400 600 800 1000

q.Ed

kN

/m

P.pre kN

0

20

40

60

80

100

0 200 400 600 800 1000

P.Ed

kN

P.pre kN

0

5

10

15

20

0 200 400 600 800 1000

q.Ed

kN

/m

P.pre kN


A-16

Beam grade L b h ts Red P.pre V.ed

P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45

UNIT: m mm mm mm % kN kN kN kN kN kN % % % % % %

GL24h 2 65 225 10 0 63.0 25.3 13.9 13.9 23.8 23.2 13.8 17.5 38.0 34.0 41.8 90.0GL24h 2 65 225 10 20 79.0 25.3 13.9 13.9 23.8 23.2 13.8 17.5 39.0 34.0 41.8 90.0GL24h 2 65 225 20 0 41.0 25.3 13.9 13.9 23.1 22.5 19.5 23.0 31.8 30.3 41.8 90.0GL24h 2 65 225 20 20 51.0 25.3 13.9 13.9 23.1 22.5 19.5 23.0 32.6 30.3 41.8 90.0GL24h 2 65 225 30 0 30.0 25.3 13.9 13.9 22.8 22.5 23.5 27.4 30.9 31.4 41.8 90.0GL24h 2 65 225 30 20 37.0 25.3 13.9 13.9 22.8 22.5 23.5 27.4 31.5 31.4 41.8 90.0GL24h 2.5 65 225 10 0 62.0 25.3 9.72 10.1 23.8 23.2 30.1 29.0 57.6 47.1 55.7 109GL24h 2.5 65 225 10 20 78.0 25.3 9.72 10.1 23.8 23.2 30.1 29.0 59.0 47.1 55.7 109GL24h 2.5 65 225 20 0 40.0 25.3 9.72 10.1 23.1 22.5 36.6 35.0 50.5 43.1 55.7 109GL24h 2.5 65 225 20 20 50.0 25.3 9.72 10.1 23.1 22.5 36.6 35.0 51.6 43.1 55.7 109GL24h 2.5 65 225 30 0 30.0 25.3 9.72 10.1 22.8 22.5 41.3 39.8 49.7 44.3 55.7 109GL24h 2.5 65 225 30 20 37.0 25.3 9.72 10.1 22.8 22.5 41.3 39.8 50.4 44.3 55.7 109GL24h 3 65 225 10 0 63.0 25.3 7.00 7.29 23.8 23.2 33.2 44.1 82.6 70.3 66.7 142GL24h 3 65 225 10 20 79.0 25.3 7.00 7.29 23.8 23.2 33.2 44.1 84.1 70.3 66.7 142GL24h 3 65 225 20 0 41.0 25.3 7.00 7.29 23.1 22.5 49.2 56.3 74.4 65.6 66.7 142GL24h 3 65 225 20 20 51.0 25.3 7.00 7.29 23.1 22.5 49.2 56.3 75.6 65.6 66.7 142GL24h 3 65 225 30 0 30.0 25.3 7.00 7.29 22.8 22.5 59.8 61.8 73.3 67.1 66.7 142GL24h 3 65 225 30 20 38.0 25.3 7.00 7.29 22.8 22.5 59.8 61.8 74.2 67.1 66.7 142GL24h 3.5 65 225 10 0 62.0 25.3 5.26 5.48 23.8 23.2 34.2 45.6 108 94.2 68.2 159GL24h 3.5 65 225 10 20 78.0 25.3 5.26 5.48 23.8 23.2 34.2 45.6 110 94.2 68.2 159GL24h 3.5 65 225 20 0 40.0 25.3 5.26 5.48 23.1 22.5 50.9 62.6 89.8 89.0 68.2 159GL24h 3.5 65 225 20 20 50.0 25.3 5.26 5.48 23.1 22.5 50.9 62.6 99.5 89.0 68.2 159GL24h 3.5 65 225 30 0 33.0 25.3 5.26 5.48 22.8 22.5 62.0 73.5 87.3 90.6 68.2 159GL24h 3.5 65 225 30 20 41.0 25.3 5.26 5.48 22.8 22.5 62.0 73.5 93.4 90.6 68.2 159GL24h 4 65 225 10 0 62.0 25.3 4.09 4.26 23.8 23.2 34.9 46.6 129 119 69.2 162GL24h 4 65 225 10 20 78.0 25.3 4.09 4.26 23.8 23.2 34.9 46.6 136 119 69.2 162GL24h 4 65 225 20 0 58.0 25.3 4.09 4.26 23.1 22.5 52.1 64.1 117 111 69.2 162GL24h 4 65 225 20 20 73.0 25.3 4.09 4.26 23.1 22.5 52.1 64.1 124 111 69.2 162GL24h 4 65 225 30 0 56.0 25.3 4.09 4.26 22.8 22.5 63.5 75.4 113 109 69.2 162GL24h 4 65 225 30 20 70.0 25.3 4.09 4.26 22.8 22.5 63.5 75.4 119 109 69.2 162GL24h 4.5 65 225 10 0 72.0 25.3 3.26 3.40 23.8 23.2 35.4 47.3 159 143 69.9 165GL24h 4.5 65 225 10 20 90.0 25.3 3.26 3.40 23.8 23.2 35.4 47.3 163 143 69.9 165GL24h 4.5 65 225 20 0 71.0 25.3 3.26 3.40 23.1 22.5 52.9 65.2 143 130 69.9 165GL24h 4.5 65 225 20 20 89.0 25.3 3.26 3.40 23.1 22.5 52.9 65.2 143 130 69.9 165GL24h 4.5 65 225 30 0 71.0 25.3 3.26 3.40 22.8 22.5 64.5 76.8 136 125 69.9 165GL24h 4.5 65 225 30 20 88.0 25.3 3.26 3.40 22.8 22.5 64.5 76.8 133 125 69.9 165GL24h 5 65 225 10 0 80.0 25.3 2.66 2.77 23.8 23.2 35.7 47.8 188 166 70.4 166GL24h 5 65 225 10 20 99.0 25.3 2.66 2.77 23.8 23.2 35.7 47.8 187 166 70.4 166GL24h 5 65 225 20 0 81.0 25.3 2.66 2.77 23.1 22.5 53.5 66.0 168 148 70.4 166GL24h 5 65 225 20 20 101 25.3 2.66 2.77 23.1 22.5 53.5 66.0 160 148 70.4 166GL24h 5 65 225 30 0 81.0 25.3 2.66 2.77 22.8 22.5 65.3 77.8 156 140 70.4 166GL24h 5 65 225 30 20 101 25.3 2.66 2.77 22.8 22.5 65.3 77.8 145 140 70.4 166GL24h 5.5 65 225 10 0 86.0 25.3 2.21 2.30 23.8 23.2 36.0 48.2 217 189 70.8 168GL24h 5.5 65 225 10 20 107 25.3 2.21 2.30 23.8 23.2 36.0 48.2 211 189 70.8 168GL24h 5.5 65 225 20 0 88.0 25.3 2.21 2.30 23.1 22.5 53.9 66.6 191 165 70.8 168GL24h 5.5 65 225 20 20 110 25.3 2.21 2.30 23.1 22.5 53.9 66.6 176 165 70.8 168GL24h 5.5 65 225 30 0 89.0 25.3 2.21 2.30 22.8 22.5 65.9 78.6 176 154 70.8 168GL24h 5.5 65 225 30 20 111 25.3 2.21 2.30 22.8 22.5 65.9 78.6 155 154 70.8 168

Type 3Input: Steel grade S235, bs = b - 20mm Type 1 Extra lamellaType 2Modified

Appendix B, Result data Point load at midpoint

B-1


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL24h 2 65 270 10 0 89.0 30.3 19.7 19.7 29.5 28.9 16.9 21.9 50.8 45.6 34.0GL24h 2 65 270 10 20 111 30.3 19.7 19.7 29.5 28.9 16.9 21.9 52.2 45.6 34.0GL24h 2 65 270 20 0 59.0 30.3 19.7 19.7 28.7 28.0 24.1 28.8 42.3 39.9 34.0GL24h 2 65 270 20 20 74.0 30.3 19.7 19.7 28.7 28.0 24.1 28.8 43.5 39.9 34.0GL24h 2 65 270 30 0 44.0 30.3 19.7 19.7 28.3 27.7 28.6 33.1 39.9 39.5 34.0GL24h 2 65 270 30 20 55.0 30.3 19.7 19.7 28.3 27.7 28.6 33.1 40.8 39.5 34.0GL24h 2.5 65 270 10 0 89.0 30.3 15.8 15.8 29.5 28.9 16.9 21.9 50.8 45.6 34.0GL24h 2.5 65 270 10 20 111 30.3 15.8 15.8 29.5 28.9 16.9 21.9 52.2 45.6 34.0GL24h 2.5 65 270 20 0 59.0 30.3 15.8 15.8 28.7 28.0 24.1 28.8 42.3 39.9 34.0GL24h 2.5 65 270 20 20 73.0 30.3 15.8 15.8 28.7 28.0 24.1 28.8 43.5 39.9 34.0GL24h 2.5 65 270 30 0 44.0 30.3 15.8 15.8 28.3 27.7 28.6 33.1 39.9 39.5 34.0GL24h 2.5 65 270 30 20 55.0 30.3 15.8 15.8 28.3 27.7 28.6 33.1 40.8 39.5 34.0GL24h 3 65 270 10 0 88.0 30.3 11.7 12.2 29.5 28.9 31.7 31.7 69.6 57.4 44.9GL24h 3 65 270 10 20 110 30.3 11.7 12.2 29.5 28.9 31.7 31.7 71.3 57.4 44.9GL24h 3 65 270 20 0 59.0 30.3 11.7 12.2 28.7 28.0 39.8 39.2 60.2 51.3 44.9GL24h 3 65 270 20 20 74.0 30.3 11.7 12.2 28.7 28.0 39.8 39.2 61.6 51.3 44.9GL24h 3 65 270 30 0 44.0 30.3 11.7 12.2 28.3 27.7 44.9 43.9 57.5 50.8 44.9GL24h 3 65 270 30 20 55.0 30.3 11.7 12.2 28.3 27.7 44.9 43.9 58.6 50.8 44.9GL24h 3.5 65 270 10 0 89.0 30.3 8.84 9.21 29.5 28.9 35.9 48.5 92.0 78.0 53.9GL24h 3.5 65 270 10 20 111 30.3 8.84 9.21 29.5 28.9 35.9 48.5 93.8 78.0 53.9GL24h 3.5 65 270 20 0 59.0 30.3 8.84 9.21 28.7 28.0 54.3 57.4 81.1 71.1 53.9GL24h 3.5 65 270 20 20 73.0 30.3 8.84 9.21 28.7 28.0 54.3 57.4 82.7 71.1 53.9GL24h 3.5 65 270 30 0 44.0 30.3 8.84 9.21 28.3 27.7 63.8 62.7 78.2 70.6 53.9GL24h 3.5 65 270 30 20 55.0 30.3 8.84 9.21 28.3 27.7 63.8 62.7 79.3 70.6 53.9GL24h 4 65 270 10 0 88.0 30.3 6.91 7.20 29.5 28.9 36.9 50.1 115 99.2 55.0GL24h 4 65 270 10 20 110 30.3 6.91 7.20 29.5 28.9 36.9 50.1 117 99.2 55.0GL24h 4 65 270 20 0 58.0 30.3 6.91 7.20 28.7 28.0 56.1 70.1 103 91.5 55.0GL24h 4 65 270 20 20 73.0 30.3 6.91 7.20 28.7 28.0 56.1 70.1 104 91.5 55.0GL24h 4 65 270 30 0 44.0 30.3 6.91 7.20 28.3 27.7 68.5 82.0 99.4 91.0 55.0GL24h 4 65 270 30 20 54.0 30.3 6.91 7.20 28.3 27.7 68.5 82.0 101 91.0 55.0GL24h 4.5 65 270 10 0 88.0 30.3 5.54 5.77 29.5 28.9 37.6 51.2 138 121 55.7GL24h 4.5 65 270 10 20 110 30.3 5.54 5.77 29.5 28.9 37.6 51.2 141 121 55.7GL24h 4.5 65 270 20 0 59.0 30.3 5.54 5.77 28.7 28.0 57.4 71.9 120 112 55.7GL24h 4.5 65 270 20 20 73.0 30.3 5.54 5.77 28.7 28.0 57.4 71.9 127 112 55.7GL24h 4.5 65 270 30 0 47.0 30.3 5.54 5.77 28.3 27.7 70.2 84.2 110 112 55.7GL24h 4.5 65 270 30 20 58.0 30.3 5.54 5.77 28.3 27.7 70.2 84.2 119 112 55.7GL24h 5 65 270 10 0 88.0 30.3 4.54 4.73 29.5 28.9 38.2 52.0 162 143 56.3GL24h 5 65 270 10 20 110 30.3 4.54 4.73 29.5 28.9 38.2 52.0 164 143 56.3GL24h 5 65 270 20 0 69.0 30.3 4.54 4.73 28.7 28.0 58.3 73.2 140 133 56.3GL24h 5 65 270 20 20 87.0 30.3 4.54 4.73 28.7 28.0 58.3 73.2 149 133 56.3GL24h 5 65 270 30 0 67.0 30.3 4.54 4.73 28.3 27.7 71.4 85.9 135 130 56.3GL24h 5 65 270 30 20 83.0 30.3 4.54 4.73 28.3 27.7 71.4 85.9 143 130 56.3GL24h 5.5 65 270 10 0 89.0 30.3 3.78 3.94 29.5 28.9 38.6 52.6 186 165 56.7GL24h 5.5 65 270 10 20 111 30.3 3.78 3.94 29.5 28.9 38.6 52.6 189 165 56.7GL24h 5.5 65 270 20 0 82.0 30.3 3.78 3.94 28.7 28.0 59.1 74.2 166 152 56.7GL24h 5.5 65 270 20 20 102 30.3 3.78 3.94 28.7 28.0 59.1 74.2 170 152 56.7GL24h 5.5 65 270 30 0 81.0 30.3 3.78 3.94 28.3 27.7 72.4 87.1 157 146 56.7GL24h 5.5 65 270 30 20 101 30.3 3.78 3.94 28.3 27.7 72.4 87.1 159 146 56.7


B-2


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL24h 6 65 270 10 0 90.0 30.3 3.19 3.33 29.5 28.9 38.9 53.1 208 187 57.0GL24h 6 65 270 10 20 112 30.3 3.19 3.33 29.5 28.9 38.9 53.1 213 187 57.0GL24h 6 65 270 20 0 91.0 30.3 3.19 3.33 28.7 28.0 59.6 75.0 189 170 57.0GL24h 6 65 270 20 20 114 30.3 3.19 3.33 28.7 28.0 59.6 75.0 188 170 57.0GL24h 6 65 270 30 0 91.0 30.3 3.19 3.33 28.3 27.7 73.1 88.1 178 162 57.0GL24h 6 65 270 30 20 114 30.3 3.19 3.33 28.3 27.7 73.1 88.1 173 162 57.0GL24h 2 65 315 10 0 117 35.4 26.4 26.4 35.1 34.6 18.7 24.5 61.9 55.6GL24h 2 65 315 10 20 147 35.4 26.4 26.4 35.1 34.6 18.7 24.5 63.6 55.6GL24h 2 65 315 20 0 80.0 35.4 26.4 26.4 34.4 33.7 27.0 32.6 51.3 48.0GL24h 2 65 315 20 20 100 35.4 26.4 26.4 34.4 33.7 27.0 32.6 52.8 48.0GL24h 2 65 315 30 0 60.0 35.4 26.4 26.4 33.9 33.2 32.1 37.3 47.6 46.4GL24h 2 65 315 30 20 75.0 35.4 26.4 26.4 33.9 33.2 32.1 37.3 48.8 46.4GL24h 2.5 65 315 10 0 117 35.4 21.1 21.1 35.1 34.6 18.7 24.5 61.9 55.6GL24h 2.5 65 315 10 20 147 35.4 21.1 21.1 35.1 34.6 18.7 24.5 63.6 55.6GL24h 2.5 65 315 20 0 80.0 35.4 21.1 21.1 34.4 33.7 27.0 32.6 51.3 48.0GL24h 2.5 65 315 20 20 99.0 35.4 21.1 21.1 34.4 33.7 27.0 32.6 52.8 48.0GL24h 2.5 65 315 30 0 61.0 35.4 21.1 21.1 33.9 33.2 32.1 37.3 47.7 46.4GL24h 2.5 65 315 30 20 76.0 35.4 21.1 21.1 33.9 33.2 32.1 37.3 48.8 46.4GL24h 3 65 315 10 0 118 35.4 17.6 17.6 35.1 34.6 18.7 24.5 62.0 55.6GL24h 3 65 315 10 20 146 35.4 17.6 17.6 35.1 34.6 18.7 24.5 63.6 55.6GL24h 3 65 315 20 0 80.0 35.4 17.6 17.6 34.4 33.7 27.0 32.6 51.3 48.0GL24h 3 65 315 20 20 99.0 35.4 17.6 17.6 34.4 33.7 27.0 32.6 52.8 48.0GL24h 3 65 315 30 0 60.0 35.4 17.6 17.6 33.9 33.2 32.1 37.3 47.6 46.4GL24h 3 65 315 30 20 75.0 35.4 17.6 17.6 33.9 33.2 32.1 37.3 48.8 46.4GL24h 3.5 65 315 10 0 118 35.4 13.6 14.2 35.1 34.6 31.6 32.5 79.7 65.6GL24h 3.5 65 315 10 20 147 35.4 13.6 14.2 35.1 34.6 31.6 32.5 81.4 65.6GL24h 3.5 65 315 20 0 80.0 35.4 13.6 14.2 34.4 33.7 40.9 41.2 67.8 57.5GL24h 3.5 65 315 20 20 100 35.4 13.6 14.2 34.4 33.7 40.9 41.2 69.5 57.5GL24h 3.5 65 315 30 0 60.0 35.4 13.6 14.2 33.9 33.2 46.5 46.2 63.6 55.8GL24h 3.5 65 315 30 20 75.0 35.4 13.6 14.2 33.9 33.2 46.5 46.2 65.0 55.8GL24h 4 65 315 10 0 117 35.4 10.7 11.2 35.1 34.6 36.7 47.3 99.6 84.1GL24h 4 65 315 10 20 146 35.4 10.7 11.2 35.1 34.6 36.7 47.3 102 84.1GL24h 4 65 315 20 0 79.0 35.4 10.7 11.2 34.4 33.7 56.6 57.0 86.4 75.1GL24h 4 65 315 20 20 99.0 35.4 10.7 11.2 34.4 33.7 56.6 57.0 88.4 75.1GL24h 4 65 315 30 0 60.0 35.4 10.7 11.2 33.9 33.2 62.9 62.5 82.0 73.3GL24h 4 65 315 30 20 75.0 35.4 10.7 11.2 33.9 33.2 62.9 62.5 83.4 73.3GL24h 4.5 65 315 10 0 117 35.4 8.63 8.99 35.1 34.6 37.6 51.8 120 103GL24h 4.5 65 315 10 20 146 35.4 8.63 8.99 35.1 34.6 37.6 51.8 123 103GL24h 4.5 65 315 20 0 80.0 35.4 8.63 8.99 34.4 33.7 58.3 73.3 106 93.2GL24h 4.5 65 315 20 20 99.0 35.4 8.63 8.99 34.4 33.7 58.3 73.3 108 93.2GL24h 4.5 65 315 30 0 59.0 35.4 8.63 8.99 33.9 33.2 71.8 79.3 101 91.2GL24h 4.5 65 315 30 20 74.0 35.4 8.63 8.99 33.9 33.2 71.8 79.3 102 91.2GL24h 5 65 315 10 0 117 35.4 7.09 7.38 35.1 34.6 38.4 53.0 141 123GL24h 5 65 315 10 20 147 35.4 7.09 7.38 35.1 34.6 38.4 53.0 144 123GL24h 5 65 315 20 0 80.0 35.4 7.09 7.38 34.4 33.7 59.7 75.9 126 112GL24h 5 65 315 20 20 99.0 35.4 7.09 7.38 34.4 33.7 59.7 75.9 128 112GL24h 5 65 315 30 0 61.0 35.4 7.09 7.38 33.9 33.2 73.6 89.4 120 110GL24h 5 65 315 30 20 76.0 35.4 7.09 7.38 33.9 33.2 73.6 89.4 122 110


B-3


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL24h 5.5 65 315 10 0 116 35.4 5.92 6.17 35.1 34.6 38.9 53.8 163 142GL24h 5.5 65 315 10 20 145 35.4 5.92 6.17 35.1 34.6 38.9 53.8 165 142GL24h 5.5 65 315 20 0 80.0 35.4 5.92 6.17 34.4 33.7 60.7 77.3 146 130GL24h 5.5 65 315 20 20 100 35.4 5.92 6.17 34.4 33.7 60.7 77.3 148 130GL24h 5.5 65 315 30 0 59.0 35.4 5.92 6.17 33.9 33.2 74.9 91.2 127 128GL24h 5.5 65 315 30 20 74.0 35.4 5.92 6.17 33.9 33.2 74.9 91.2 141 128GL24h 6 65 315 10 0 117 35.4 5.01 5.22 35.1 34.6 39.4 54.5 184 162GL24h 6 65 315 10 20 146 35.4 5.01 5.22 35.1 34.6 39.4 54.5 187 162GL24h 6 65 315 20 0 80.0 35.4 5.01 5.22 34.4 33.7 61.5 78.5 157 149GL24h 6 65 315 20 20 100 35.4 5.01 5.22 34.4 33.7 61.5 78.5 168 149GL24h 6 65 315 30 0 77.0 35.4 5.01 5.22 33.9 33.2 76.0 92.6 151 146GL24h 6 65 315 30 20 96.0 35.4 5.01 5.22 33.9 33.2 76.0 92.6 161 146GL24h 6.5 65 315 10 0 116 35.4 4.30 4.48 35.1 34.6 39.7 55.0 206 182GL24h 6.5 65 315 10 20 145 35.4 4.30 4.48 35.1 34.6 39.7 55.0 209 182GL24h 6.5 65 315 20 0 92.0 35.4 4.30 4.48 34.4 33.7 62.1 79.3 181 168GL24h 6.5 65 315 20 20 114 35.4 4.30 4.48 34.4 33.7 62.1 79.3 189 168GL24h 6.5 65 315 30 0 90.0 35.4 4.30 4.48 33.9 33.2 76.9 93.8 172 162GL24h 6.5 65 315 30 20 113 35.4 4.30 4.48 33.9 33.2 76.9 93.8 178 162GL24h 7 65 315 10 0 117 35.4 3.73 3.88 35.1 34.6 40.0 55.5 228 202GL24h 7 65 315 10 20 146 35.4 3.73 3.88 35.1 34.6 40.0 55.5 231 202GL24h 7 65 315 20 0 101 35.4 3.73 3.88 34.4 33.7 62.6 80.1 204 186GL24h 7 65 315 20 20 126 35.4 3.73 3.88 34.4 33.7 62.6 80.1 208 186GL24h 7 65 315 30 0 101 35.4 3.73 3.88 33.9 33.2 77.5 94.7 193 177GL24h 7 65 315 30 20 126 35.4 3.73 3.88 33.9 33.2 77.5 94.7 193 177GL28h 4 90 225 10 0 107 38.9 6.14 6.40 36.6 35.7 35.5 47.3 142 131 69.2 162GL28h 4 90 225 10 20 134 38.9 6.14 6.40 36.6 35.7 35.5 47.3 147 131 69.2 162GL28h 4 90 225 20 0 105 38.9 6.14 6.40 35.5 34.6 52.8 64.8 130 120 69.2 162GL28h 4 90 225 20 20 132 38.9 6.14 6.40 35.5 34.6 52.8 64.8 131 120 69.2 162GL28h 4 90 225 30 0 104 38.9 6.14 6.40 35.1 34.5 64.2 76.1 124 117 69.2 162GL28h 4 90 225 30 20 130 38.9 6.14 6.40 35.1 34.5 64.2 76.1 123 117 69.2 162GL28h 5 90 225 10 0 132 38.9 4.00 4.17 36.6 35.7 36.4 48.6 202 178 70.4 166GL28h 5 90 225 10 20 165 38.9 4.00 4.17 36.6 35.7 36.4 48.6 195 178 70.4 166GL28h 5 90 225 20 0 134 38.9 4.00 4.17 35.5 34.6 54.2 66.8 178 156 70.4 166GL28h 5 90 225 20 20 168 38.9 4.00 4.17 35.5 34.6 54.2 66.8 163 156 70.4 166GL28h 5 90 225 30 0 136 38.9 4.00 4.17 35.1 34.5 66.1 78.5 165 146 70.4 166GL28h 5 90 225 30 20 170 38.9 4.00 4.17 35.1 34.5 66.1 78.5 144 146 70.4 166GL28h 6 90 225 10 0 147 38.9 2.81 2.92 36.6 35.7 36.9 49.3 258 223 71.1 169GL28h 6 90 225 10 20 184 38.9 2.81 2.92 36.6 35.7 36.9 49.3 240 223 71.1 169GL28h 6 90 225 20 0 152 38.9 2.81 2.92 35.5 34.6 55.0 67.8 225 190 71.1 169GL28h 6 90 225 20 20 190 38.9 2.81 2.92 35.5 34.6 55.0 67.8 192 190 71.1 169GL28h 6 90 225 30 0 155 38.9 2.81 2.92 35.1 34.5 67.2 79.9 204 173 71.1 169GL28h 6 90 225 30 20 193 38.9 2.81 2.92 35.1 34.5 67.2 79.9 163 173 71.1 169GL28h 7 90 225 10 0 158 38.9 2.07 2.16 36.6 35.7 37.2 49.7 311 267 71.6 170GL28h 7 90 225 10 20 197 38.9 2.07 2.16 36.6 35.7 37.2 49.7 284 268 71.6 170GL28h 7 90 225 20 0 164 38.9 2.07 2.16 35.5 34.6 55.6 68.5 266 222 71.6 170GL28h 7 90 225 20 20 205 38.9 2.07 2.16 35.5 34.6 55.6 68.5 219 222 71.6 170GL28h 7 90 225 30 0 168 38.9 2.07 2.16 35.1 34.5 67.8 80.8 239 200 71.6 170GL28h 7 90 225 30 20 206 38.9 2.07 2.16 35.1 34.5 67.8 80.8 184 198 71.6 170


B-4


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 4 90 270 10 0 126 46.7 10.4 10.8 45.3 44.4 37.6 50.9 125 110 55.0 125GL28h 4 90 270 10 20 158 46.7 10.4 10.8 45.3 44.4 37.6 50.9 127 110 55.0 125GL28h 4 90 270 20 0 84.0 46.7 10.4 10.8 44.1 43.1 56.9 70.9 108 104 55.0 125GL28h 4 90 270 20 20 105 46.7 10.4 10.8 44.1 43.1 56.9 70.9 116 104 55.0 125GL28h 4 90 270 30 0 64.0 46.7 10.4 10.8 43.5 42.6 69.3 82.8 100 104 55.0 125GL28h 4 90 270 30 20 79.0 46.7 10.4 10.8 43.5 42.6 69.3 82.8 108 104 55.0 125GL28h 5 90 270 10 0 127 46.7 6.82 7.11 45.3 44.4 38.9 52.9 169 156 56.3 129GL28h 5 90 270 10 20 159 46.7 6.82 7.11 45.3 44.4 38.9 52.9 177 156 56.3 129GL28h 5 90 270 20 0 125 46.7 6.82 7.11 44.1 43.1 59.2 74.1 156 145 56.3 129GL28h 5 90 270 20 20 156 46.7 6.82 7.11 44.1 43.1 59.2 74.1 160 145 56.3 129GL28h 5 90 270 30 0 123 46.7 6.82 7.11 43.5 42.6 72.3 86.7 149 140 56.3 129GL28h 5 90 270 30 20 154 46.7 6.82 7.11 43.5 42.6 72.3 86.7 150 140 56.3 129GL28h 6 90 270 10 0 150 46.7 4.80 5.00 45.3 44.4 39.7 54.0 225 202 57.0 131GL28h 6 90 270 10 20 188 46.7 4.80 5.00 45.3 44.4 39.7 54.0 225 201 57.0 131GL28h 6 90 270 20 0 153 46.7 4.80 5.00 44.1 43.1 60.5 75.9 204 181 57.0 131GL28h 6 90 270 20 20 191 46.7 4.80 5.00 44.1 43.1 60.5 75.9 195 181 57.0 131GL28h 6 90 270 30 0 154 46.7 4.80 5.00 43.5 42.6 74.0 89.0 190 170 57.0 131GL28h 6 90 270 30 20 193 46.7 4.80 5.00 43.5 42.6 74.0 89.0 176 170 57.0 131GL28h 7 90 270 10 0 166 46.7 3.56 3.71 45.3 44.4 40.2 54.7 278 246 57.5 133GL28h 7 90 270 10 20 207 46.7 3.56 3.71 45.3 44.4 40.2 54.7 271 246 57.5 133GL28h 7 90 270 20 0 172 46.7 3.56 3.71 44.1 43.1 61.3 77.0 250 215 57.5 133GL28h 7 90 270 20 20 215 46.7 3.56 3.71 44.1 43.1 61.3 77.0 227 215 57.5 133GL28h 7 90 270 30 0 174 46.7 3.56 3.71 43.5 42.6 75.1 90.4 229 198 57.5 133GL28h 7 90 270 30 20 218 46.7 3.56 3.71 43.5 42.6 75.1 90.4 199 198 57.5 133GL28h 8 90 270 10 0 177 46.7 2.74 2.85 45.3 44.4 40.5 55.2 329 289 57.8 134GL28h 8 90 270 10 20 222 46.7 2.74 2.85 45.3 44.4 40.5 55.2 316 289 57.8 134GL28h 8 90 270 20 0 185 46.7 2.74 2.85 44.1 43.1 61.9 77.8 292 249 57.8 134GL28h 8 90 270 20 20 231 46.7 2.74 2.85 44.1 43.1 61.9 77.8 259 248 57.8 134GL28h 8 90 270 30 0 189 46.7 2.74 2.85 43.5 42.6 75.9 91.4 266 225 57.8 134GL28h 8 90 270 30 20 236 46.7 2.74 2.85 43.5 42.6 75.9 91.4 221 225 57.8 134GL28h 4 90 315 10 0 167 54.4 16.1 16.8 54.0 53.2 37.4 51.3 108 93.2 45.2 101GL28h 4 90 315 10 20 209 54.4 16.1 16.8 54.0 53.2 37.4 51.3 110 93.2 45.2 101GL28h 4 90 315 20 0 113 54.4 16.1 16.8 52.9 51.7 57.5 69.1 96.6 85.9 45.2 101GL28h 4 90 315 20 20 141 54.4 16.1 16.8 52.9 51.7 57.5 69.1 98.4 85.9 45.2 101GL28h 4 90 315 30 0 86.0 54.4 16.1 16.8 52.1 51.0 70.4 75.0 93.2 84.9 45.2 101GL28h 4 90 315 30 20 107 54.4 16.1 16.8 52.1 51.0 70.4 75.0 94.6 84.9 45.2 101GL28h 5 90 315 10 0 166 54.4 10.7 11.1 54.0 53.2 39.1 53.9 151 134 46.6 104GL28h 5 90 315 10 20 208 54.4 10.7 11.1 54.0 53.2 39.1 53.9 154 134 46.6 104GL28h 5 90 315 20 0 113 54.4 10.7 11.1 52.9 51.7 60.6 76.9 133 125 46.6 104GL28h 5 90 315 20 20 142 54.4 10.7 11.1 52.9 51.7 60.6 76.9 140 125 46.6 104GL28h 5 90 315 30 0 90.0 54.4 10.7 11.1 52.1 51.0 74.5 90.3 122 124 46.6 104GL28h 5 90 315 30 20 112 54.4 10.7 11.1 52.1 51.0 74.5 90.3 133 124 46.6 104GL28h 6 90 315 10 0 166 54.4 7.54 7.85 54.0 53.2 40.2 55.5 196 175 47.3 107GL28h 6 90 315 10 20 208 54.4 7.54 7.85 54.0 53.2 40.2 55.5 199 175 47.3 107GL28h 6 90 315 20 0 144 54.4 7.54 7.85 52.9 51.7 62.4 79.5 175 163 47.3 107GL28h 6 90 315 20 20 179 54.4 7.54 7.85 52.9 51.7 62.4 79.5 181 163 47.3 107GL28h 6 90 315 30 0 141 54.4 7.54 7.85 52.1 51.0 77.0 93.6 167 157 47.3 107GL28h 6 90 315 30 20 176 54.4 7.54 7.85 52.1 51.0 77.0 93.6 171 157 47.3 107


B-5


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 7 90 315 10 0 168 54.4 5.60 5.84 54.0 53.2 40.8 56.5 240 217 47.8 108GL28h 7 90 315 10 20 210 54.4 5.60 5.84 54.0 53.2 40.8 56.5 245 217 47.8 108GL28h 7 90 315 20 0 171 54.4 5.60 5.84 52.9 51.7 63.6 81.1 221 198 47.8 108GL28h 7 90 315 20 20 214 54.4 5.60 5.84 52.9 51.7 63.6 81.1 218 198 47.8 108GL28h 7 90 315 30 0 172 54.4 5.60 5.84 52.1 51.0 78.6 95.7 208 187 47.8 108GL28h 7 90 315 30 20 215 54.4 5.60 5.84 52.1 51.0 78.6 95.7 200 187 47.8 108GL28h 8 90 315 10 0 184 54.4 4.32 4.50 54.0 53.2 41.3 57.2 290 259 48.2 109GL28h 8 90 315 10 20 230 54.4 4.32 4.50 54.0 53.2 41.3 57.2 290 259 48.2 109GL28h 8 90 315 20 0 190 54.4 4.32 4.50 52.9 51.7 64.4 82.2 265 232 48.2 109GL28h 8 90 315 20 20 238 54.4 4.32 4.50 52.9 51.7 64.4 82.2 252 232 48.2 109GL28h 8 90 315 30 0 193 54.4 4.32 4.50 52.1 51.0 79.6 97.1 246 216 48.2 109GL28h 8 90 315 30 20 241 54.4 4.32 4.50 52.1 51.0 79.6 97.1 226 216 48.2 109GL28h 9 90 315 10 0 196 54.4 3.43 3.58 54.0 53.2 41.6 57.6 337 301 48.4 110GL28h 9 90 315 10 20 245 54.4 3.43 3.58 54.0 53.2 41.6 57.6 334 301 48.4 110GL28h 9 90 315 20 0 205 54.4 3.43 3.58 52.9 51.7 64.9 83.0 306 265 48.4 110GL28h 9 90 315 20 20 256 54.4 3.43 3.58 52.9 51.7 64.9 83.0 285 265 48.4 110GL28h 9 90 315 30 0 209 54.4 3.43 3.58 52.1 51.0 80.4 98.1 284 243 48.4 110GL28h 9 90 315 30 20 261 54.4 3.43 3.58 52.1 51.0 80.4 98.1 250 243 48.4 110GL28h 4 90 360 10 0 211 62.2 23.4 24.4 62.7 62.0 36.0 42.6 95.0 80.5 38.1 72.4GL28h 4 90 360 10 20 264 62.2 23.4 24.4 62.7 62.0 36.0 42.6 97.0 80.5 38.1 72.4GL28h 4 90 360 20 0 144 62.2 23.4 24.4 61.7 60.5 51.9 53.0 82.9 72.2 38.1 72.4GL28h 4 90 360 20 20 180 62.2 23.4 24.4 61.7 60.5 51.9 53.0 84.8 72.2 38.1 72.4GL28h 4 90 360 30 0 110 62.2 23.4 24.4 60.9 59.6 58.4 58.7 78.6 70.3 38.1 72.4GL28h 4 90 360 30 20 138 62.2 23.4 24.4 60.9 59.6 58.4 58.7 80.2 70.3 38.1 72.4GL28h 5 90 360 10 0 211 62.2 15.6 16.3 62.7 62.0 38.1 53.1 134 116 39.5 87.2GL28h 5 90 360 10 20 263 62.2 15.6 16.3 62.7 62.0 38.1 53.1 136 116 39.5 87.2GL28h 5 90 360 20 0 145 62.2 15.6 16.3 61.7 60.5 59.9 76.9 119 106 39.5 87.2GL28h 5 90 360 20 20 181 62.2 15.6 16.3 61.7 60.5 59.9 76.9 121 106 39.5 87.2GL28h 5 90 360 30 0 109 62.2 15.6 16.3 60.9 59.6 74.2 90.1 114 104 39.5 87.2GL28h 5 90 360 30 20 137 62.2 15.6 16.3 60.9 59.6 74.2 90.1 116 104 39.5 87.2GL28h 6 90 360 10 0 211 62.2 11.1 11.6 62.7 62.0 39.4 55.1 174 153 40.3 89.5GL28h 6 90 360 10 20 263 62.2 11.1 11.6 62.7 62.0 39.4 55.1 176 153 40.3 89.5GL28h 6 90 360 20 0 144 62.2 11.1 11.6 61.7 60.5 62.2 80.3 157 142 40.3 89.5GL28h 6 90 360 20 20 180 62.2 11.1 11.6 61.7 60.5 62.2 80.3 159 142 40.3 89.5GL28h 6 90 360 30 0 113 62.2 11.1 11.6 60.9 59.6 77.4 95.1 139 139 40.3 89.5GL28h 6 90 360 30 20 141 62.2 11.1 11.6 60.9 59.6 77.4 95.1 153 139 40.3 89.5GL28h 7 90 360 10 0 210 62.2 8.28 8.63 62.7 62.0 40.2 56.4 215 191 40.8 90.9GL28h 7 90 360 10 20 263 62.2 8.28 8.63 62.7 62.0 40.2 56.4 218 191 40.8 90.9GL28h 7 90 360 20 0 162 62.2 8.28 8.63 61.7 60.5 63.7 82.4 190 177 40.8 90.9GL28h 7 90 360 20 20 202 62.2 8.28 8.63 61.7 60.5 63.7 82.4 198 177 40.8 90.9GL28h 7 90 360 30 0 159 62.2 8.28 8.63 60.9 59.6 79.4 97.9 182 171 40.8 90.9GL28h 7 90 360 30 20 199 62.2 8.28 8.63 60.9 59.6 79.4 97.9 188 171 40.8 90.9GL28h 8 90 360 10 0 210 62.2 6.40 6.67 62.7 62.0 40.8 57.2 256 230 41.2 91.9GL28h 8 90 360 10 20 263 62.2 6.40 6.67 62.7 62.0 40.8 57.2 260 230 41.2 91.9GL28h 8 90 360 20 0 189 62.2 6.40 6.67 61.7 60.5 64.8 83.9 234 211 41.2 91.9GL28h 8 90 360 20 20 236 62.2 6.40 6.67 61.7 60.5 64.8 83.9 235 211 41.2 91.9GL28h 8 90 360 30 0 189 62.2 6.40 6.67 60.9 59.6 80.8 99.8 221 201 41.2 91.9GL28h 8 90 360 30 20 236 62.2 6.40 6.67 60.9 59.6 80.8 99.8 218 201 41.2 91.9


B-6


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 9 90 360 10 0 210 62.2 5.09 5.31 62.7 62.0 41.2 57.8 298 268 41.4 92.6GL28h 9 90 360 10 20 262 62.2 5.09 5.31 62.7 62.0 41.2 57.8 302 268 41.4 92.6GL28h 9 90 360 20 0 208 62.2 5.09 5.31 61.7 60.5 65.5 84.9 275 244 41.4 92.6GL28h 9 90 360 20 20 260 62.2 5.09 5.31 61.7 60.5 65.5 84.9 269 244 41.4 92.6GL28h 9 90 360 30 0 211 62.2 5.09 5.31 60.9 59.6 81.8 101 258 229 41.4 92.6GL28h 9 90 360 30 20 264 62.2 5.09 5.31 60.9 59.6 81.8 101 245 229 41.4 92.6GL28h 10 90 360 10 0 214 62.2 4.15 4.32 62.7 62.0 41.5 58.3 341 307 41.6 93.1GL28h 10 90 360 10 20 267 62.2 4.15 4.32 62.7 62.0 41.5 58.3 344 307 41.6 93.1GL28h 10 90 360 20 0 223 62.2 4.15 4.32 61.7 60.5 66.0 85.7 316 276 41.6 93.1GL28h 10 90 360 20 20 279 62.2 4.15 4.32 61.7 60.5 66.0 85.7 302 276 41.6 93.1GL28h 10 90 360 30 0 228 62.2 4.15 4.32 60.9 59.6 82.5 102 295 256 41.6 93.1GL28h 10 90 360 30 20 285 62.2 4.15 4.32 60.9 59.6 82.5 102 271 256 41.6 93.1GL28h 11 90 360 10 0 224 62.2 3.44 3.58 62.7 62.0 41.7 58.6 385 346 41.7 93.5GL28h 11 90 360 10 20 280 62.2 3.44 3.58 62.7 62.0 41.7 58.6 386 346 41.7 93.5GL28h 11 90 360 20 0 235 62.2 3.44 3.58 61.7 60.5 66.4 86.3 354 308 41.7 93.5GL28h 11 90 360 20 20 294 62.2 3.44 3.58 61.7 60.5 66.4 86.3 335 308 41.7 93.5GL28h 11 90 360 30 0 241 62.2 3.44 3.58 60.9 59.6 83.1 103 329 282 41.7 93.5GL28h 11 90 360 30 20 301 62.2 3.44 3.58 60.9 59.6 83.1 103 296 282 41.7 93.5GL28h 4 90 405 10 0 258 70.0 32.3 33.7 71.4 70.9 28.1 30.0 85.1 70.6 24.8 49.6GL28h 4 90 405 10 20 307 70.0 32.3 33.7 71.4 70.9 28.1 30.0 86.9 70.5 24.8 49.6GL28h 4 90 405 20 0 179 70.0 32.3 33.7 70.5 69.3 38.6 40.3 72.4 61.6 24.8 49.6GL28h 4 90 405 20 20 224 70.0 32.3 33.7 70.5 69.3 38.6 40.3 74.4 61.6 24.8 49.6GL28h 4 90 405 30 0 139 70.0 32.3 33.7 69.7 68.3 45.1 45.9 67.6 59.0 24.8 49.6GL28h 4 90 405 30 20 174 70.0 32.3 33.7 69.7 68.3 45.1 45.9 69.2 59.0 24.8 49.6GL28h 5 90 405 10 0 259 70.0 21.8 22.7 71.4 70.9 36.5 51.3 120 102 34.2 74.3GL28h 5 90 405 10 20 307 70.0 21.8 22.7 71.4 70.9 36.5 51.3 122 102 34.2 74.3GL28h 5 90 405 20 0 179 70.0 21.8 22.7 70.5 69.3 58.0 66.4 105 91.6 34.2 74.3GL28h 5 90 405 20 20 223 70.0 21.8 22.7 70.5 69.3 58.0 66.4 107 91.6 34.2 74.3GL28h 5 90 405 30 0 139 70.0 21.8 22.7 69.7 68.3 72.1 73.1 98.8 88.6 34.2 74.3GL28h 5 90 405 30 20 174 70.0 21.8 22.7 69.7 68.3 72.1 73.1 101 88.6 34.2 74.3GL28h 6 90 405 10 0 257 70.0 15.6 16.2 71.4 70.9 38.0 53.6 156 136 35.0 76.6GL28h 6 90 405 10 20 307 70.0 15.6 16.2 71.4 70.9 38.0 53.6 158 136 35.0 76.6GL28h 6 90 405 20 0 179 70.0 15.6 16.2 70.5 69.3 60.8 79.2 138 123 35.0 76.6GL28h 6 90 405 20 20 224 70.0 15.6 16.2 70.5 69.3 60.8 79.2 141 123 35.0 76.6GL28h 6 90 405 30 0 139 70.0 15.6 16.2 69.7 68.3 76.1 94.5 132 120 35.0 76.6GL28h 6 90 405 30 20 174 70.0 15.6 16.2 69.7 68.3 76.1 94.5 134 120 35.0 76.6GL28h 7 90 405 10 0 257 70.0 11.7 12.2 71.4 70.9 39.0 55.2 193 170 35.5 78.1GL28h 7 90 405 10 20 307 70.0 11.7 12.2 71.4 70.9 39.0 55.2 196 170 35.5 78.1GL28h 7 90 405 20 0 178 70.0 11.7 12.2 70.5 69.3 62.6 81.9 173 156 35.5 78.1GL28h 7 90 405 20 20 223 70.0 11.7 12.2 70.5 69.3 62.6 81.9 176 156 35.5 78.1GL28h 7 90 405 30 0 138 70.0 11.7 12.2 69.7 68.3 78.7 98.0 155 152 35.5 78.1GL28h 7 90 405 30 20 172 70.0 11.7 12.2 69.7 68.3 78.7 98.0 168 152 35.5 78.1GL28h 8 90 405 10 0 258 70.0 9.04 9.42 71.4 70.9 39.7 56.2 231 205 35.9 79.1GL28h 8 90 405 10 20 307 70.0 9.04 9.42 71.4 70.9 39.7 56.2 234 205 35.9 79.1GL28h 8 90 405 20 0 180 70.0 9.04 9.42 70.5 69.3 63.9 83.7 201 189 35.9 79.1GL28h 8 90 405 20 20 225 70.0 9.04 9.42 70.5 69.3 63.9 83.7 212 189 35.9 79.1GL28h 8 90 405 30 0 177 70.0 9.04 9.42 69.7 68.3 80.4 100 193 182 35.9 79.1GL28h 8 90 405 30 20 221 70.0 9.04 9.42 69.7 68.3 80.4 100 201 182 35.9 79.1


B-7


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 9 90 405 10 0 258 70.0 7.20 7.50 71.4 70.9 40.1 57.0 269 240 36.2 79.8GL28h 9 90 405 10 20 307 70.0 7.20 7.50 71.4 70.9 40.1 57.0 273 240 36.2 79.8GL28h 9 90 405 20 0 206 70.0 7.20 7.50 70.5 69.3 64.8 85.0 242 221 36.2 79.8GL28h 9 90 405 20 20 257 70.0 7.20 7.50 70.5 69.3 64.8 85.0 247 221 36.2 79.8GL28h 9 90 405 30 0 206 70.0 7.20 7.50 69.7 68.3 81.6 102 230 211 36.2 79.8GL28h 9 90 405 30 20 258 70.0 7.20 7.50 69.7 68.3 81.6 102 231 211 36.2 79.8GL28h 10 90 405 10 0 257 70.0 5.87 6.12 71.4 70.9 40.5 57.5 307 276 36.3 80.3GL28h 10 90 405 10 20 307 70.0 5.87 6.12 71.4 70.9 40.5 57.5 312 275 36.3 80.3GL28h 10 90 405 20 0 226 70.0 5.87 6.12 70.5 69.3 65.4 86.0 283 253 36.3 80.3GL28h 10 90 405 20 20 282 70.0 5.87 6.12 70.5 69.3 65.4 86.0 281 253 36.3 80.3GL28h 10 90 405 30 0 229 70.0 5.87 6.12 69.7 68.3 82.5 103 267 238 36.3 80.3GL28h 10 90 405 30 20 286 70.0 5.87 6.12 69.7 68.3 82.5 103 259 238 36.3 80.3GL28h 11 90 405 10 0 256 70.0 4.87 5.08 71.4 70.9 40.7 57.9 346 311 36.5 80.7GL28h 11 90 405 10 20 307 70.0 4.87 5.08 71.4 70.9 40.7 57.9 351 311 36.5 80.7GL28h 11 90 405 20 0 241 70.0 4.87 5.08 70.5 69.3 65.9 86.7 321 284 36.5 80.7GL28h 11 90 405 20 20 301 70.0 4.87 5.08 70.5 69.3 65.9 86.7 314 284 36.5 80.7GL28h 11 90 405 30 0 246 70.0 4.87 5.08 69.7 68.3 83.2 104 302 265 36.5 80.7GL28h 11 90 405 30 20 307 70.0 4.87 5.08 69.7 68.3 83.2 104 286 265 36.5 80.7GL28h 4 90 450 10 0 306 77.8 42.0 42.0 80.0 79.7 20.4 27.6 81.1 73.4 19.9GL28h 4 90 450 10 20 307 77.8 42.0 42.0 80.0 79.7 20.4 27.6 81.1 71.5 19.9GL28h 4 90 450 20 0 217 77.8 42.0 42.0 79.4 78.2 30.8 38.4 67.9 63.1 19.9GL28h 4 90 450 20 20 271 77.8 42.0 42.0 79.4 78.2 30.8 38.4 69.9 63.1 19.9GL28h 4 90 450 30 0 168 77.8 42.0 42.0 78.5 77.0 37.2 44.3 62.3 59.8 19.9GL28h 4 90 450 30 20 209 77.8 42.0 42.0 78.5 77.0 37.2 44.3 64.0 59.8 19.9GL28h 5 90 450 10 0 307 77.8 29.2 30.5 80.0 79.7 34.6 40.9 108 91.4 29.9GL28h 5 90 450 10 20 307 77.8 29.2 30.5 80.0 79.7 34.6 40.9 108 89.3 29.9GL28h 5 90 450 20 0 217 77.8 29.2 30.5 79.4 78.2 50.3 52.7 93.0 80.0 29.9GL28h 5 90 450 20 20 271 77.8 29.2 30.5 79.4 78.2 50.3 52.7 95.3 80.0 29.9GL28h 5 90 450 30 0 168 77.8 29.2 30.5 78.5 77.0 57.7 59.2 86.6 76.4 29.9GL28h 5 90 450 30 20 209 77.8 29.2 30.5 78.5 77.0 57.7 59.2 88.6 76.4 29.9GL28h 6 90 450 10 0 307 77.8 21.1 21.9 80.0 79.7 36.3 51.6 141 122 30.8GL28h 6 90 450 10 20 307 77.8 21.1 21.9 80.0 79.7 36.3 51.6 141 119 30.8GL28h 6 90 450 20 0 216 77.8 21.1 21.9 79.4 78.2 58.6 76.8 123 108 30.8GL28h 6 90 450 20 20 270 77.8 21.1 21.9 79.4 78.2 58.6 76.8 126 108 30.8GL28h 6 90 450 30 0 168 77.8 21.1 21.9 78.5 77.0 73.9 84.3 116 104 30.8GL28h 6 90 450 30 20 209 77.8 21.1 21.9 78.5 77.0 73.9 84.3 118 104 30.8GL28h 7 90 450 10 0 306 77.8 15.8 16.5 80.0 79.7 37.4 53.4 175 153 31.4GL28h 7 90 450 10 20 307 77.8 15.8 16.5 80.0 79.7 37.4 53.4 175 150 31.4GL28h 7 90 450 20 0 216 77.8 15.8 16.5 79.4 78.2 60.8 80.2 155 138 31.4GL28h 7 90 450 20 20 270 77.8 15.8 16.5 79.4 78.2 60.8 80.2 158 138 31.4GL28h 7 90 450 30 0 167 77.8 15.8 16.5 78.5 77.0 76.9 96.7 146 133 31.4GL28h 7 90 450 30 20 209 77.8 15.8 16.5 78.5 77.0 76.9 96.7 149 133 31.4GL28h 8 90 450 10 0 306 77.8 12.3 12.8 80.0 79.7 38.2 54.6 210 185 31.8GL28h 8 90 450 10 20 307 77.8 12.3 12.8 80.0 79.7 38.2 54.6 210 181 31.8GL28h 8 90 450 20 0 216 77.8 12.3 12.8 79.4 78.2 62.2 82.4 187 168 31.8GL28h 8 90 450 20 20 269 77.8 12.3 12.8 79.4 78.2 62.2 82.4 190 168 31.8GL28h 8 90 450 30 0 167 77.8 12.3 12.8 78.5 77.0 78.9 99.5 171 162 31.8GL28h 8 90 450 30 20 208 77.8 12.3 12.8 78.5 77.0 78.9 99.5 180 162 31.8


B-8


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 9 90 450 10 0 306 77.8 9.81 10.2 80.0 79.7 38.7 55.5 245 217 32.0GL28h 9 90 450 10 20 307 77.8 9.81 10.2 80.0 79.7 38.7 55.5 245 213 32.0GL28h 9 90 450 20 0 215 77.8 9.81 10.2 79.4 78.2 63.3 84.0 219 198 32.0GL28h 9 90 450 20 20 269 77.8 9.81 10.2 79.4 78.2 63.3 84.0 223 198 32.0GL28h 9 90 450 30 0 194 77.8 9.81 10.2 78.5 77.0 80.4 102 202 191 32.0GL28h 9 90 450 30 20 242 77.8 9.81 10.2 78.5 77.0 80.4 102 212 191 32.0GL28h 10 90 450 10 0 307 77.8 8.01 8.34 80.0 79.7 39.1 56.1 280 250 32.2GL28h 10 90 450 10 20 307 77.8 8.01 8.34 80.0 79.7 39.1 56.1 280 246 32.2GL28h 10 90 450 20 0 223 77.8 8.01 8.34 79.4 78.2 64.0 85.1 249 229 32.2GL28h 10 90 450 20 20 278 77.8 8.01 8.34 79.4 78.2 64.0 85.1 257 229 32.2GL28h 10 90 450 30 0 223 77.8 8.01 8.34 78.5 77.0 81.5 103 238 219 32.2GL28h 10 90 450 30 20 279 77.8 8.01 8.34 78.5 77.0 81.5 103 242 219 32.2GL28h 11 90 450 10 0 306 77.8 6.65 6.93 80.0 79.7 39.4 56.6 316 282 32.4GL28h 11 90 450 10 20 307 77.8 6.65 6.93 80.0 79.7 39.4 56.6 316 278 32.4GL28h 11 90 450 20 0 243 77.8 6.65 6.93 79.4 78.2 64.6 86.0 287 259 32.4GL28h 11 90 450 20 20 303 77.8 6.65 6.93 79.4 78.2 64.6 86.0 290 259 32.4GL28h 11 90 450 30 0 246 77.8 6.65 6.93 78.5 77.0 82.3 104 273 245 32.4GL28h 11 90 450 30 20 307 77.8 6.65 6.93 78.5 77.0 82.3 104 270 245 32.4GL28h 4 90 495 10 0 307 85.5 50.4 50.4 88.5 88.4 20.2 27.7 84.0 78.2GL28h 4 90 495 10 20 307 85.5 50.4 50.4 88.5 88.4 20.2 27.7 84.0 74.1GL28h 4 90 495 20 0 256 85.5 50.4 50.4 88.2 87.1 31.0 39.0 73.2 67.6GL28h 4 90 495 20 20 320 85.5 50.4 50.4 88.2 87.1 31.0 39.0 75.4 67.6GL28h 4 90 495 30 0 200 85.5 50.4 50.4 87.4 85.8 37.7 45.3 66.8 63.6GL28h 4 90 495 30 20 250 85.5 50.4 50.4 87.4 85.8 37.7 45.3 68.7 63.6GL28h 5 90 495 10 0 307 85.5 38.0 39.6 88.5 88.4 27.5 30.0 95.1 81.4GL28h 5 90 495 10 20 307 85.5 38.0 39.6 88.5 88.4 27.5 30.0 95.1 77.2GL28h 5 90 495 20 0 257 85.5 38.0 39.6 88.2 87.1 38.9 41.5 83.7 70.6GL28h 5 90 495 20 20 321 85.5 38.0 39.6 88.2 87.1 38.9 41.5 86.0 70.6GL28h 5 90 495 30 0 200 85.5 38.0 39.6 87.4 85.8 46.0 47.9 76.9 66.5GL28h 5 90 495 30 20 249 85.5 38.0 39.6 87.4 85.8 46.0 47.9 78.9 66.5GL28h 6 90 495 10 0 307 85.5 27.5 28.7 88.5 88.4 34.4 49.2 124 109GL28h 6 90 495 10 20 307 85.5 27.5 28.7 88.5 88.4 34.4 49.2 124 104GL28h 6 90 495 20 0 256 85.5 27.5 28.7 88.2 87.1 56.1 62.7 111 96.2GL28h 6 90 495 20 20 320 85.5 27.5 28.7 88.2 87.1 56.1 62.7 114 96.2GL28h 6 90 495 30 0 200 85.5 27.5 28.7 87.4 85.8 67.9 70.1 103 91.5GL28h 6 90 495 30 20 250 85.5 27.5 28.7 87.4 85.8 67.9 70.1 106 91.5GL28h 7 90 495 10 0 307 85.5 20.8 21.6 88.5 88.4 35.7 51.2 155 137GL28h 7 90 495 10 20 307 85.5 20.8 21.6 88.5 88.4 35.7 51.2 155 131GL28h 7 90 495 20 0 257 85.5 20.8 21.6 88.2 87.1 58.5 77.9 140 123GL28h 7 90 495 20 20 321 85.5 20.8 21.6 88.2 87.1 58.5 77.9 143 123GL28h 7 90 495 30 0 200 85.5 20.8 21.6 87.4 85.8 74.4 93.2 131 118GL28h 7 90 495 30 20 250 85.5 20.8 21.6 87.4 85.8 74.4 93.2 134 118GL28h 8 90 495 10 0 307 85.5 16.2 16.9 88.5 88.4 36.5 52.6 186 166GL28h 8 90 495 10 20 307 85.5 16.2 16.9 88.5 88.4 36.5 52.6 186 160GL28h 8 90 495 20 0 255 85.5 16.2 16.9 88.2 87.1 60.1 80.4 169 150GL28h 8 90 495 20 20 319 85.5 16.2 16.9 88.2 87.1 60.1 80.4 173 150GL28h 8 90 495 30 0 199 85.5 16.2 16.9 87.4 85.8 76.8 97.7 159 144GL28h 8 90 495 30 20 249 85.5 16.2 16.9 87.4 85.8 76.8 97.7 162 144


B-9


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 9 90 495 10 0 307 85.5 13.0 13.5 88.5 88.4 37.1 53.6 218 196GL28h 9 90 495 10 20 307 85.5 13.0 13.5 88.5 88.4 37.1 53.6 218 189GL28h 9 90 495 20 0 256 85.5 13.0 13.5 88.2 87.1 61.3 82.2 199 178GL28h 9 90 495 20 20 320 85.5 13.0 13.5 88.2 87.1 61.3 82.2 203 178GL28h 9 90 495 30 0 199 85.5 13.0 13.5 87.4 85.8 78.5 100 188 171GL28h 9 90 495 30 20 248 85.5 13.0 13.5 87.4 85.8 78.5 100 192 171GL28h 10 90 495 10 0 307 85.5 10.6 11.0 88.5 88.4 37.6 54.3 250 226GL28h 10 90 495 10 20 307 85.5 10.6 11.0 88.5 88.4 37.6 54.3 250 218GL28h 10 90 495 20 0 255 85.5 10.6 11.0 88.2 87.1 62.2 83.5 230 206GL28h 10 90 495 20 20 319 85.5 10.6 11.0 88.2 87.1 62.2 83.5 234 206GL28h 10 90 495 30 0 211 85.5 10.6 11.0 87.4 85.8 79.7 102 210 199GL28h 10 90 495 30 20 264 85.5 10.6 11.0 87.4 85.8 79.7 102 221 199GL28h 11 90 495 10 0 307 85.5 8.81 9.17 88.5 88.4 37.9 54.9 283 256GL28h 11 90 495 10 20 307 85.5 8.81 9.17 88.5 88.4 37.9 54.9 283 248GL28h 11 90 495 20 0 257 85.5 8.81 9.17 88.2 87.1 62.9 84.5 260 235GL28h 11 90 495 20 20 321 85.5 8.81 9.17 88.2 87.1 62.9 84.5 265 235GL28h 11 90 495 30 0 240 85.5 8.81 9.17 87.4 85.8 80.7 103 244 225GL28h 11 90 495 30 20 299 85.5 8.81 9.17 87.4 85.8 80.7 103 250 225GL28h 4 115 225 10 0 137 49.7 7.85 8.18 46.6 45.5 36.9 48.8 142 130 69.2 162GL28h 4 115 225 10 20 171 49.7 7.85 8.18 46.6 45.5 36.9 48.8 146 130 69.2 162GL28h 4 115 225 20 0 134 49.7 7.85 8.18 45.2 44.1 54.3 66.2 129 119 69.2 162GL28h 4 115 225 20 20 168 49.7 7.85 8.18 45.2 44.1 54.3 66.2 129 119 69.2 162GL28h 4 115 225 30 0 133 49.7 7.85 8.18 44.7 44.1 65.7 77.5 124 117 69.2 162GL28h 4 115 225 30 20 166 49.7 7.85 8.18 44.7 44.1 65.7 77.5 122 117 69.2 162GL28h 5 115 225 10 0 169 49.7 5.11 5.33 46.6 45.5 37.8 50.1 200 176 70.4 166GL28h 5 115 225 10 20 211 49.7 5.11 5.33 46.6 45.5 37.8 50.1 193 176 70.4 166GL28h 5 115 225 20 0 172 49.7 5.11 5.33 45.2 44.1 55.8 68.2 176 154 70.4 166GL28h 5 115 225 20 20 215 49.7 5.11 5.33 45.2 44.1 55.8 68.2 160 154 70.4 166GL28h 5 115 225 30 0 174 49.7 5.11 5.33 44.7 44.1 67.6 80.0 163 145 70.4 166GL28h 5 115 225 30 20 217 49.7 5.11 5.33 44.7 44.1 67.6 80.0 142 145 70.4 166GL28h 6 115 225 10 0 189 49.7 3.59 3.74 46.6 45.5 38.3 50.8 255 220 71.1 169GL28h 6 115 225 10 20 236 49.7 3.59 3.74 46.6 45.5 38.3 50.8 236 220 71.1 169GL28h 6 115 225 20 0 195 49.7 3.59 3.74 45.2 44.1 56.6 69.3 221 187 71.1 169GL28h 6 115 225 20 20 244 49.7 3.59 3.74 45.2 44.1 56.6 69.3 187 187 71.1 169GL28h 6 115 225 30 0 198 49.7 3.59 3.74 44.7 44.1 68.8 81.4 200 171 71.1 169GL28h 6 115 225 30 20 248 49.7 3.59 3.74 44.7 44.1 68.8 81.4 157 171 71.1 169GL28h 7 115 225 10 0 202 49.7 2.65 2.76 46.6 45.5 38.7 51.3 307 264 71.6 170GL28h 7 115 225 10 20 253 49.7 2.65 2.76 46.6 45.5 38.7 51.3 279 264 71.6 170GL28h 7 115 225 20 0 210 49.7 2.65 2.76 45.2 44.1 57.2 70.0 262 218 71.6 170GL28h 7 115 225 20 20 263 49.7 2.65 2.76 45.2 44.1 57.2 70.0 212 219 71.6 170GL28h 7 115 225 30 0 215 49.7 2.65 2.76 44.7 44.1 69.5 82.3 235 196 71.6 170GL28h 7 115 225 30 20 263 49.7 2.65 2.76 44.7 44.1 69.5 82.3 179 194 71.6 170GL28h 4 115 270 10 0 157 59.6 13.3 13.8 57.8 56.6 39.1 52.6 124 109 55.0 125GL28h 4 115 270 10 20 196 59.6 13.3 13.8 57.8 56.6 39.1 52.6 126 109 55.0 125GL28h 4 115 270 20 0 102 59.6 13.3 13.8 56.2 54.9 58.6 72.6 106 104 55.0 125GL28h 4 115 270 20 20 127 59.6 13.3 13.8 56.2 54.9 58.6 72.6 116 104 55.0 125GL28h 4 115 270 30 0 79.0 59.6 13.3 13.8 55.4 54.4 71.0 84.3 100 104 55.0 125GL28h 4 115 270 30 20 98.0 59.6 13.3 13.8 55.4 54.4 71.0 84.3 107 104 55.0 125


B-10


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 5 115 270 10 0 162 59.6 8.72 9.08 57.8 56.6 40.5 54.7 168 155 56.3 129GL28h 5 115 270 10 20 203 59.6 8.72 9.08 57.8 56.6 40.5 54.7 175 155 56.3 129GL28h 5 115 270 20 0 159 59.6 8.72 9.08 56.2 54.9 61.0 75.8 154 144 56.3 129GL28h 5 115 270 20 20 199 59.6 8.72 9.08 56.2 54.9 61.0 75.8 158 144 56.3 129GL28h 5 115 270 30 0 157 59.6 8.72 9.08 55.4 54.4 74.1 88.3 148 139 56.3 129GL28h 5 115 270 30 20 196 59.6 8.72 9.08 55.4 54.4 74.1 88.3 149 139 56.3 129GL28h 6 115 270 10 0 192 59.6 6.14 6.39 57.8 56.6 41.3 55.9 223 200 57.0 131GL28h 6 115 270 10 20 240 59.6 6.14 6.39 57.8 56.6 41.3 55.9 223 200 57.0 131GL28h 6 115 270 20 0 196 59.6 6.14 6.39 56.2 54.9 62.4 77.7 202 179 57.0 131GL28h 6 115 270 20 20 245 59.6 6.14 6.39 56.2 54.9 62.4 77.7 192 179 57.0 131GL28h 6 115 270 30 0 197 59.6 6.14 6.39 55.4 54.4 75.9 90.7 188 168 57.0 131GL28h 6 115 270 30 20 246 59.6 6.14 6.39 55.4 54.4 75.9 90.7 174 168 57.0 131GL28h 7 115 270 10 0 213 59.6 4.55 4.74 57.8 56.6 41.8 56.6 276 243 57.5 133GL28h 7 115 270 10 20 266 59.6 4.55 4.74 57.8 56.6 41.8 56.6 268 243 57.5 133GL28h 7 115 270 20 0 220 59.6 4.55 4.74 56.2 54.9 63.3 78.9 247 212 57.5 133GL28h 7 115 270 20 20 275 59.6 4.55 4.74 56.2 54.9 63.3 78.9 223 212 57.5 133GL28h 7 115 270 30 0 223 59.6 4.55 4.74 55.4 54.4 77.1 92.2 226 196 57.5 133GL28h 7 115 270 30 20 279 59.6 4.55 4.74 55.4 54.4 77.1 92.2 195 196 57.5 133GL28h 8 115 270 10 0 228 59.6 3.50 3.65 57.8 56.6 42.2 57.1 326 286 57.8 134GL28h 8 115 270 10 20 284 59.6 3.50 3.65 57.8 56.6 42.2 57.1 312 286 57.8 134GL28h 8 115 270 20 0 237 59.6 3.50 3.65 56.2 54.9 63.8 79.7 288 245 57.8 134GL28h 8 115 270 20 20 296 59.6 3.50 3.65 56.2 54.9 63.8 79.7 253 245 57.8 134GL28h 8 115 270 30 0 242 59.6 3.50 3.65 55.4 54.4 77.8 93.1 263 222 57.8 134GL28h 8 115 270 30 20 303 59.6 3.50 3.65 55.4 54.4 77.8 93.1 215 222 57.8 134GL28h 4 115 315 10 0 207 69.6 20.6 21.4 68.9 67.8 39.0 53.1 107 92.4 45.2 101GL28h 4 115 315 10 20 259 69.6 20.6 21.4 68.9 67.8 39.0 53.1 109 92.4 45.2 101GL28h 4 115 315 20 0 139 69.6 20.6 21.4 67.4 65.9 59.3 69.9 95.9 85.5 45.2 101GL28h 4 115 315 20 20 174 69.6 20.6 21.4 67.4 65.9 59.3 69.9 97.7 85.5 45.2 101GL28h 4 115 315 30 0 103 69.6 20.6 21.4 66.4 65.0 72.2 75.7 92.7 84.8 45.2 101GL28h 4 115 315 30 20 129 69.6 20.6 21.4 66.4 65.0 72.2 75.7 94.1 84.8 45.2 101GL28h 5 115 315 10 0 208 69.6 13.6 14.2 68.9 67.8 40.8 55.9 150 133 46.6 104GL28h 5 115 315 10 20 260 69.6 13.6 14.2 68.9 67.8 40.8 55.9 152 133 46.6 104GL28h 5 115 315 20 0 139 69.6 13.6 14.2 67.4 65.9 62.6 78.8 131 124 46.6 104GL28h 5 115 315 20 20 173 69.6 13.6 14.2 67.4 65.9 62.6 78.8 139 124 46.6 104GL28h 5 115 315 30 0 113 69.6 13.6 14.2 66.4 65.0 76.5 92.1 121 123 46.6 104GL28h 5 115 315 30 20 141 69.6 13.6 14.2 66.4 65.0 76.5 92.1 132 123 46.6 104GL28h 6 115 315 10 0 207 69.6 9.64 10.0 68.9 67.8 41.9 57.5 194 174 47.3 107GL28h 6 115 315 10 20 259 69.6 9.64 10.0 68.9 67.8 41.9 57.5 197 174 47.3 107GL28h 6 115 315 20 0 183 69.6 9.64 10.0 67.4 65.9 64.5 81.5 174 162 47.3 107GL28h 6 115 315 20 20 229 69.6 9.64 10.0 67.4 65.9 64.5 81.5 180 162 47.3 107GL28h 6 115 315 30 0 180 69.6 9.64 10.0 66.4 65.0 79.1 95.5 166 157 47.3 107GL28h 6 115 315 30 20 225 69.6 9.64 10.0 66.4 65.0 79.1 95.5 170 157 47.3 107GL28h 7 115 315 10 0 215 69.6 7.16 7.46 68.9 67.8 42.6 58.5 239 216 47.8 108GL28h 7 115 315 10 20 268 69.6 7.16 7.46 68.9 67.8 42.6 58.5 243 216 47.8 108GL28h 7 115 315 20 0 219 69.6 7.16 7.46 67.4 65.9 65.7 83.2 219 196 47.8 108GL28h 7 115 315 20 20 273 69.6 7.16 7.46 67.4 65.9 65.7 83.2 215 197 47.8 108GL28h 7 115 315 30 0 220 69.6 7.16 7.46 66.4 65.0 80.7 97.7 206 186 47.8 108GL28h 7 115 315 30 20 274 69.6 7.16 7.46 66.4 65.0 80.7 97.7 197 186 47.8 108


B-11


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 8 115 315 10 0 236 69.6 5.52 5.75 68.9 67.8 43.1 59.2 288 257 48.2 109GL28h 8 115 315 10 20 294 69.6 5.52 5.75 68.9 67.8 43.1 59.2 287 257 48.2 109GL28h 8 115 315 20 0 244 69.6 5.52 5.75 67.4 65.9 66.5 84.4 263 229 48.2 109GL28h 8 115 315 20 20 304 69.6 5.52 5.75 67.4 65.9 66.5 84.4 248 230 48.2 109GL28h 8 115 315 30 0 247 69.6 5.52 5.75 66.4 65.0 81.8 99.1 243 213 48.2 109GL28h 8 115 315 30 20 309 69.6 5.52 5.75 66.4 65.0 81.8 99.1 222 213 48.2 109GL28h 9 115 315 10 0 251 69.6 4.39 4.57 68.9 67.8 43.4 59.7 335 298 48.4 110GL28h 9 115 315 10 20 314 69.6 4.39 4.57 68.9 67.8 43.4 59.7 331 298 48.4 110GL28h 9 115 315 20 0 262 69.6 4.39 4.57 67.4 65.9 67.1 85.2 303 262 48.4 110GL28h 9 115 315 20 20 328 69.6 4.39 4.57 67.4 65.9 67.1 85.2 280 262 48.4 110GL28h 9 115 315 30 0 267 69.6 4.39 4.57 66.4 65.0 82.6 100 280 240 48.4 110GL28h 9 115 315 30 20 334 69.6 4.39 4.57 66.4 65.0 82.6 100 245 240 48.4 110GL28h 4 115 360 10 0 262 79.5 29.9 31.1 80.1 79.1 37.5 43.6 93.8 79.5 38.1 72.4GL28h 4 115 360 10 20 327 79.5 29.9 31.1 80.1 79.1 37.5 43.6 95.8 79.5 38.1 72.4GL28h 4 115 360 20 0 178 79.5 29.9 31.1 78.7 77.1 52.8 53.8 82.1 71.7 38.1 72.4GL28h 4 115 360 20 20 223 79.5 29.9 31.1 78.7 77.1 52.8 53.8 84.0 71.7 38.1 72.4GL28h 4 115 360 30 0 135 79.5 29.9 31.1 77.6 75.9 59.3 59.5 78.2 70.1 38.1 72.4GL28h 4 115 360 30 20 168 79.5 29.9 31.1 77.6 75.9 59.3 59.5 79.6 70.1 38.1 72.4GL28h 5 115 360 10 0 262 79.5 20.0 20.8 80.1 79.1 39.8 55.1 132 115 39.5 87.2GL28h 5 115 360 10 20 327 79.5 20.0 20.8 80.1 79.1 39.8 55.1 135 115 39.5 87.2GL28h 5 115 360 20 0 178 79.5 20.0 20.8 78.7 77.1 61.9 79.0 118 106 39.5 87.2GL28h 5 115 360 20 20 223 79.5 20.0 20.8 78.7 77.1 61.9 79.0 120 106 39.5 87.2GL28h 5 115 360 30 0 135 79.5 20.0 20.8 77.6 75.9 76.3 91.0 113 104 39.5 87.2GL28h 5 115 360 30 20 169 79.5 20.0 20.8 77.6 75.9 76.3 91.0 115 104 39.5 87.2GL28h 6 115 360 10 0 261 79.5 14.2 14.8 80.1 79.1 41.2 57.2 172 152 40.3 89.5GL28h 6 115 360 10 20 326 79.5 14.2 14.8 80.1 79.1 41.2 57.2 175 152 40.3 89.5GL28h 6 115 360 20 0 178 79.5 14.2 14.8 78.7 77.1 64.4 82.4 154 141 40.3 89.5GL28h 6 115 360 20 20 223 79.5 14.2 14.8 78.7 77.1 64.4 82.4 158 141 40.3 89.5GL28h 6 115 360 30 0 142 79.5 14.2 14.8 77.6 75.9 79.6 97.2 138 139 40.3 89.5GL28h 6 115 360 30 20 177 79.5 14.2 14.8 77.6 75.9 79.6 97.2 152 139 40.3 89.5GL28h 7 115 360 10 0 262 79.5 10.6 11.0 80.1 79.1 42.1 58.5 213 190 40.8 90.9GL28h 7 115 360 10 20 327 79.5 10.6 11.0 80.1 79.1 42.1 58.5 216 190 40.8 90.9GL28h 7 115 360 20 0 206 79.5 10.6 11.0 78.7 77.1 66.0 84.7 188 176 40.8 90.9GL28h 7 115 360 20 20 258 79.5 10.6 11.0 78.7 77.1 66.0 84.7 197 176 40.8 90.9GL28h 7 115 360 30 0 202 79.5 10.6 11.0 77.6 75.9 81.7 100 180 170 40.8 90.9GL28h 7 115 360 30 20 253 79.5 10.6 11.0 77.6 75.9 81.7 100 186 170 40.8 90.9GL28h 8 115 360 10 0 261 79.5 8.18 8.52 80.1 79.1 42.6 59.4 254 228 41.2 91.9GL28h 8 115 360 10 20 326 79.5 8.18 8.52 80.1 79.1 42.6 59.4 258 228 41.2 91.9GL28h 8 115 360 20 0 241 79.5 8.18 8.52 78.7 77.1 67.1 86.2 231 210 41.2 91.9GL28h 8 115 360 20 20 301 79.5 8.18 8.52 78.7 77.1 67.1 86.2 232 210 41.2 91.9GL28h 8 115 360 30 0 242 79.5 8.18 8.52 77.6 75.9 83.2 102 219 199 41.2 91.9GL28h 8 115 360 30 20 302 79.5 8.18 8.52 77.6 75.9 83.2 102 215 199 41.2 91.9GL28h 9 115 360 10 0 261 79.5 6.51 6.78 80.1 79.1 43.0 60.1 295 266 41.4 92.6GL28h 9 115 360 10 20 326 79.5 6.51 6.78 80.1 79.1 43.0 60.1 300 266 41.4 92.6GL28h 9 115 360 20 0 266 79.5 6.51 6.78 78.7 77.1 67.8 87.3 273 242 41.4 92.6GL28h 9 115 360 20 20 333 79.5 6.51 6.78 78.7 77.1 67.8 87.3 266 242 41.4 92.6GL28h 9 115 360 30 0 270 79.5 6.51 6.78 77.6 75.9 84.2 103 256 226 41.4 92.6GL28h 9 115 360 30 20 337 79.5 6.51 6.78 77.6 75.9 84.2 103 241 226 41.4 92.6


B-12


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 4 115 405 10 0 320 89.4 41.3 43.0 91.2 90.4 28.9 30.9 83.8 69.6 24.8 49.6GL28h 4 115 405 10 20 400 89.4 41.3 43.0 91.2 90.4 28.9 30.9 85.8 69.6 24.8 49.6GL28h 4 115 405 20 0 222 89.4 41.3 43.0 90.0 88.4 39.6 41.1 71.6 61.0 24.8 49.6GL28h 4 115 405 20 20 277 89.4 41.3 43.0 90.0 88.4 39.6 41.1 73.5 61.0 24.8 49.6GL28h 4 115 405 30 0 169 89.4 41.3 43.0 88.8 87.0 46.0 46.7 67.0 58.8 24.8 49.6GL28h 4 115 405 30 20 211 89.4 41.3 43.0 88.8 87.0 46.0 46.7 68.5 58.8 24.8 49.6GL28h 5 115 405 10 0 321 89.4 27.9 29.0 91.2 90.4 38.1 53.2 118 101 34.2 74.3GL28h 5 115 405 10 20 401 89.4 27.9 29.0 91.2 90.4 38.1 53.2 120 101 34.2 74.3GL28h 5 115 405 20 0 222 89.4 27.9 29.0 90.0 88.4 60.0 67.4 104 91.0 34.2 74.3GL28h 5 115 405 20 20 277 89.4 27.9 29.0 90.0 88.4 60.0 67.4 106 91.0 34.2 74.3GL28h 5 115 405 30 0 169 89.4 27.9 29.0 88.8 87.0 73.1 73.9 98.1 88.3 34.2 74.3GL28h 5 115 405 30 20 211 89.4 27.9 29.0 88.8 87.0 73.1 73.9 99.9 88.3 34.2 74.3GL28h 6 115 405 10 0 320 89.4 19.9 20.8 91.2 90.4 39.8 55.7 154 134 35.0 76.6GL28h 6 115 405 10 20 400 89.4 19.9 20.8 91.2 90.4 39.8 55.7 157 134 35.0 76.6GL28h 6 115 405 20 0 221 89.4 19.9 20.8 90.0 88.4 63.0 81.5 137 122 35.0 76.6GL28h 6 115 405 20 20 276 89.4 19.9 20.8 90.0 88.4 63.0 81.5 140 122 35.0 76.6GL28h 6 115 405 30 0 168 89.4 19.9 20.8 88.8 87.0 78.4 96.7 131 119 35.0 76.6GL28h 6 115 405 30 20 210 89.4 19.9 20.8 88.8 87.0 78.4 96.7 133 119 35.0 76.6GL28h 7 115 405 10 0 321 89.4 14.9 15.5 91.2 90.4 40.8 57.4 191 168 35.5 78.1GL28h 7 115 405 10 20 401 89.4 14.9 15.5 91.2 90.4 40.8 57.4 194 168 35.5 78.1GL28h 7 115 405 20 0 221 89.4 14.9 15.5 90.0 88.4 64.9 84.3 172 155 35.5 78.1GL28h 7 115 405 20 20 277 89.4 14.9 15.5 90.0 88.4 64.9 84.3 175 155 35.5 78.1GL28h 7 115 405 30 0 169 89.4 14.9 15.5 88.8 87.0 81.1 100 152 151 35.5 78.1GL28h 7 115 405 30 20 211 89.4 14.9 15.5 88.8 87.0 81.1 100 167 151 35.5 78.1GL28h 8 115 405 10 0 320 89.4 11.6 12.0 91.2 90.4 41.5 58.5 228 203 35.9 79.1GL28h 8 115 405 10 20 400 89.4 11.6 12.0 91.2 90.4 41.5 58.5 232 203 35.9 79.1GL28h 8 115 405 20 0 229 89.4 11.6 12.0 90.0 88.4 66.2 86.2 200 188 35.9 79.1GL28h 8 115 405 20 20 286 89.4 11.6 12.0 90.0 88.4 66.2 86.2 210 188 35.9 79.1GL28h 8 115 405 30 0 225 89.4 11.6 12.0 88.8 87.0 82.9 103 192 182 35.9 79.1GL28h 8 115 405 30 20 281 89.4 11.6 12.0 88.8 87.0 82.9 103 200 182 35.9 79.1GL28h 9 115 405 10 0 319 89.4 9.21 9.59 91.2 90.4 42.0 59.2 266 238 36.2 79.8GL28h 9 115 405 10 20 399 89.4 9.21 9.59 91.2 90.4 42.0 59.2 270 238 36.2 79.8GL28h 9 115 405 20 0 263 89.4 9.21 9.59 90.0 88.4 67.2 87.6 240 220 36.2 79.8GL28h 9 115 405 20 20 329 89.4 9.21 9.59 90.0 88.4 67.2 87.6 245 220 36.2 79.8GL28h 9 115 405 30 0 263 89.4 9.21 9.59 88.8 87.0 84.1 105 228 209 36.2 79.8GL28h 9 115 405 30 20 329 89.4 9.21 9.59 88.8 87.0 84.1 105 229 209 36.2 79.8GL28h 4 115 450 10 0 384 99.4 53.7 53.7 102 102 21.2 28.6 80.0 72.3 19.9GL28h 4 115 450 10 20 418 99.4 53.7 53.7 102 102 21.2 28.6 81.2 71.6 19.9GL28h 4 115 450 20 0 267 99.4 53.7 53.7 101 99.7 31.7 39.3 66.9 62.5 19.9GL28h 4 115 450 20 20 334 99.4 53.7 53.7 101 99.7 31.7 39.3 68.9 62.5 19.9GL28h 4 115 450 30 0 207 99.4 53.7 53.7 100 98.2 38.1 45.1 61.7 59.5 19.9GL28h 4 115 450 30 20 259 99.4 53.7 53.7 100 98.2 38.1 45.1 63.4 59.5 19.9GL28h 5 115 450 10 0 383 99.4 37.4 38.9 102 102 36.1 41.9 107 90.2 29.9GL28h 5 115 450 10 20 418 99.4 37.4 38.9 102 102 36.1 41.9 108 89.4 29.9GL28h 5 115 450 20 0 267 99.4 37.4 38.9 101 99.7 51.4 53.7 91.8 79.3 29.9GL28h 5 115 450 20 20 334 99.4 37.4 38.9 101 99.7 51.4 53.7 94.2 79.3 29.9GL28h 5 115 450 30 0 205 99.4 37.4 38.9 100 98.2 58.8 60.1 85.8 76.0 29.9GL28h 5 115 450 30 20 257 99.4 37.4 38.9 100 98.2 58.8 60.1 87.7 76.0 29.9


B-13


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 6 115 450 10 0 383 99.4 26.9 28.0 102 102 38.0 53.6 139 120 30.8GL28h 6 115 450 10 20 418 99.4 26.9 28.0 102 102 38.0 53.6 141 119 30.8GL28h 6 115 450 20 0 267 99.4 26.9 28.0 101 99.7 60.8 77.9 122 108 30.8GL28h 6 115 450 20 20 333 99.4 26.9 28.0 101 99.7 60.8 77.9 125 108 30.8GL28h 6 115 450 30 0 206 99.4 26.9 28.0 100 98.2 76.2 85.3 115 104 30.8GL28h 6 115 450 30 20 257 99.4 26.9 28.0 100 98.2 76.2 85.3 117 104 30.8GL28h 7 115 450 10 0 384 99.4 20.2 21.1 102 102 39.2 55.5 173 151 31.4GL28h 7 115 450 10 20 418 99.4 20.2 21.1 102 102 39.2 55.5 175 150 31.4GL28h 7 115 450 20 0 267 99.4 20.2 21.1 101 99.7 63.1 82.7 153 137 31.4GL28h 7 115 450 20 20 334 99.4 20.2 21.1 101 99.7 63.1 82.7 156 137 31.4GL28h 7 115 450 30 0 207 99.4 20.2 21.1 100 98.2 79.3 99.0 146 132 31.4GL28h 7 115 450 30 20 259 99.4 20.2 21.1 100 98.2 79.3 99.0 148 132 31.4GL28h 8 115 450 10 0 382 99.4 15.7 16.4 102 102 40.0 56.8 207 183 31.8GL28h 8 115 450 10 20 418 99.4 15.7 16.4 102 102 40.0 56.8 210 182 31.8GL28h 8 115 450 20 0 266 99.4 15.7 16.4 101 99.7 64.6 84.9 185 167 31.8GL28h 8 115 450 20 20 333 99.4 15.7 16.4 101 99.7 64.6 84.9 189 167 31.8GL28h 8 115 450 30 0 205 99.4 15.7 16.4 100 98.2 81.4 102 168 162 31.8GL28h 8 115 450 30 20 257 99.4 15.7 16.4 100 98.2 81.4 102 179 162 31.8GL28h 9 115 450 10 0 382 99.4 12.5 13.1 102 102 40.6 57.7 242 215 32.0GL28h 9 115 450 10 20 418 99.4 12.5 13.1 102 102 40.6 57.7 245 214 32.0GL28h 9 115 450 20 0 267 99.4 12.5 13.1 101 99.7 65.7 86.6 218 197 32.0GL28h 9 115 450 20 20 333 99.4 12.5 13.1 101 99.7 65.7 86.6 222 197 32.0GL28h 9 115 450 30 0 247 99.4 12.5 13.1 100 98.2 83.0 104 201 191 32.0GL28h 9 115 450 30 20 308 99.4 12.5 13.1 100 98.2 83.0 104 211 191 32.0GL28h 4 115 495 10 0 418 109 64.3 64.3 113 113 21.1 28.7 85.0 77.9GL28h 4 115 495 10 20 418 109 64.3 64.3 113 113 21.1 28.7 85.0 74.9GL28h 4 115 495 20 0 316 109 64.3 64.3 113 111 32.0 40.0 72.1 66.9GL28h 4 115 495 20 20 395 109 64.3 64.3 113 111 32.0 40.0 74.3 66.9GL28h 4 115 495 30 0 246 109 64.3 64.3 111 109 38.7 46.2 66.1 63.2GL28h 4 115 495 30 20 307 109 64.3 64.3 111 109 38.7 46.2 67.9 63.2GL28h 5 115 495 10 0 418 109 48.6 50.6 113 113 28.4 31.0 96.2 81.1GL28h 5 115 495 10 20 418 109 48.6 50.6 113 113 28.4 31.0 96.2 78.0GL28h 5 115 495 20 0 316 109 48.6 50.6 113 111 39.9 42.5 82.5 69.8GL28h 5 115 495 20 20 395 109 48.6 50.6 113 111 39.9 42.5 84.8 69.8GL28h 5 115 495 30 0 247 109 48.6 50.6 111 109 47.0 48.8 76.1 66.1GL28h 5 115 495 30 20 308 109 48.6 50.6 111 109 47.0 48.8 78.0 66.1GL28h 6 115 495 10 0 418 109 35.2 36.7 113 113 36.0 50.6 126 108GL28h 6 115 495 10 20 418 109 35.2 36.7 113 113 36.0 50.6 126 105GL28h 6 115 495 20 0 317 109 35.2 36.7 113 111 58.2 63.8 110 95.3GL28h 6 115 495 20 20 396 109 35.2 36.7 113 111 58.2 63.8 113 95.3GL28h 6 115 495 30 0 246 109 35.2 36.7 111 109 69.1 71.1 102 91.0GL28h 6 115 495 30 20 307 109 35.2 36.7 111 109 69.1 71.1 105 91.0GL28h 7 115 495 10 0 418 109 26.5 27.7 113 113 37.4 53.3 156 137GL28h 7 115 495 10 20 418 109 26.5 27.7 113 113 37.4 53.3 156 133GL28h 7 115 495 20 0 316 109 26.5 27.7 113 111 60.7 80.3 138 122GL28h 7 115 495 20 20 395 109 26.5 27.7 113 111 60.7 80.3 141 122GL28h 7 115 495 30 0 247 109 26.5 27.7 111 109 76.9 94.3 130 117GL28h 7 115 495 30 20 308 109 26.5 27.7 111 109 76.9 94.3 133 117


B-14


P.ed inst

P.ed fin

V.ed inst

V.ed fin

P.ed inst

P.ed fin

P.ed inst

P.ed fin 1x45 2x45



GL28h 8 115 495 10 0 418 109 20.7 21.6 113 113 38.3 54.8 188 166GL28h 8 115 495 10 20 418 109 20.7 21.6 113 113 38.3 54.8 188 161GL28h 8 115 495 20 0 315 109 20.7 21.6 113 111 62.5 82.9 168 149GL28h 8 115 495 20 20 393 109 20.7 21.6 113 111 62.5 82.9 171 149GL28h 8 115 495 30 0 245 109 20.7 21.6 111 109 79.3 100 158 144GL28h 8 115 495 30 20 306 109 20.7 21.6 111 109 79.3 100 161 144GL28h 9 115 495 10 0 418 109 16.5 17.2 113 113 38.9 55.9 220 195GL28h 9 115 495 10 20 418 109 16.5 17.2 113 113 38.9 55.9 220 190GL28h 9 115 495 20 0 315 109 16.5 17.2 113 111 63.8 84.8 197 177GL28h 9 115 495 20 20 393 109 16.5 17.2 113 111 63.8 84.8 201 177GL28h 9 115 495 30 0 244 109 16.5 17.2 111 109 81.1 103 183 171GL28h 9 115 495 30 20 305 109 16.5 17.2 111 109 81.1 103 190 171


B-15

Beam grade L b h ts Red P.pre v.Ed

q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45

UNIT: m mm mm mm % kN kN/m kN/m kN/m kN/m kN/m % % % % % %

GL24h 2 65 225 10 0 63.0 12.6 11.8 12.3 11.9 11.6 30.5 32.7 62.3 51.3 60.1 115GL24h 2 65 225 10 20 79.0 12.6 11.8 12.3 11.9 11.6 30.5 32.7 63.6 51.3 60.1 115GL24h 2 65 225 20 0 41.0 12.6 11.8 12.3 11.5 11.3 40.5 38.9 55.0 47.2 60.1 115GL24h 2 65 225 20 20 51.0 12.6 11.8 12.3 11.5 11.3 40.5 38.9 56.1 47.2 60.1 115GL24h 2 65 225 30 0 30.0 12.6 11.8 12.3 11.4 11.2 45.3 43.8 54.0 48.5 60.1 115GL24h 2 65 225 30 20 37.0 12.6 11.8 12.3 11.4 11.2 45.3 43.8 54.7 48.5 60.1 115GL24h 2.5 65 225 10 0 62.0 10.1 6.37 6.64 9.53 9.30 32.7 43.3 90.5 79.6 65.9 152GL24h 2.5 65 225 10 20 78.0 10.1 6.37 6.64 9.53 9.30 32.7 43.3 94.2 79.6 65.9 152GL24h 2.5 65 225 20 0 40.0 10.1 6.37 6.64 9.23 9.01 48.3 59.2 76.3 74.7 65.9 152GL24h 2.5 65 225 20 20 50.0 10.1 6.37 6.64 9.23 9.01 48.3 59.2 83.1 74.7 65.9 152GL24h 2.5 65 225 30 0 30.0 10.1 6.37 6.64 9.13 8.99 58.6 69.2 74.2 76.2 65.9 152GL24h 2.5 65 225 30 20 37.0 10.1 6.37 6.64 9.13 8.99 58.6 69.2 77.9 76.2 65.9 152GL24h 3 65 225 10 0 63.0 8.42 3.80 3.95 7.94 7.75 34.0 45.2 115 109 67.8 158GL24h 3 65 225 10 20 79.0 8.42 3.80 3.95 7.94 7.75 34.0 45.2 126 109 67.8 158GL24h 3 65 225 20 0 41.0 8.42 3.80 3.95 7.70 7.51 50.5 62.0 104 100 67.8 158GL24h 3 65 225 20 20 51.0 8.42 3.80 3.95 7.70 7.51 50.5 62.0 112 100 67.8 158GL24h 3 65 225 30 0 30.0 8.42 3.80 3.95 7.61 7.49 61.4 72.8 100 99.3 67.8 158GL24h 3 65 225 30 20 38.0 8.42 3.80 3.95 7.61 7.49 61.4 72.8 108 99.4 67.8 158GL24h 3.5 65 225 10 0 62.0 7.22 2.43 2.54 6.81 6.64 34.8 46.4 149 136 69.0 162GL24h 3.5 65 225 10 20 78.0 7.22 2.43 2.54 6.81 6.64 34.8 46.4 153 136 69.0 162GL24h 3.5 65 225 20 0 40.0 7.22 2.43 2.54 6.60 6.44 51.9 63.9 131 121 69.0 162GL24h 3.5 65 225 20 20 50.0 7.22 2.43 2.54 6.60 6.44 51.9 63.9 132 121 69.0 162GL24h 3.5 65 225 30 0 33.0 7.22 2.43 2.54 6.52 6.42 63.2 75.1 124 117 69.0 162GL24h 3.5 65 225 30 20 41.0 7.22 2.43 2.54 6.52 6.42 63.2 75.1 121 117 69.0 162GL24h 4 65 225 10 0 62.0 6.32 1.65 1.72 5.96 5.81 35.4 47.2 182 162 69.9 164GL24h 4 65 225 10 20 78.0 6.32 1.65 1.72 5.96 5.81 35.4 47.2 179 162 69.9 164GL24h 4 65 225 20 0 58.0 6.32 1.65 1.72 5.77 5.63 52.8 65.2 157 140 69.9 164GL24h 4 65 225 20 20 73.0 6.32 1.65 1.72 5.77 5.63 52.8 65.2 148 140 69.9 164GL24h 4 65 225 30 0 56.0 6.32 1.65 1.72 5.71 5.62 64.5 76.7 146 132 69.9 164GL24h 4 65 225 30 20 70.0 6.32 1.65 1.72 5.71 5.62 64.5 76.7 133 132 69.9 164GL24h 4.5 65 225 10 0 72.0 5.62 1.17 1.22 5.30 5.17 35.8 47.8 213 187 70.5 166GL24h 4.5 65 225 10 20 90.0 5.62 1.17 1.22 5.30 5.17 35.8 47.8 203 187 70.5 166GL24h 4.5 65 225 20 0 71.0 5.62 1.17 1.22 5.13 5.01 53.5 66.1 182 159 70.5 166GL24h 4.5 65 225 20 20 89.0 5.62 1.17 1.22 5.13 5.01 53.5 66.1 164 158 70.5 166GL24h 4.5 65 225 30 0 71.0 5.62 1.17 1.22 5.07 4.99 65.4 77.9 166 147 70.5 166GL24h 4.5 65 225 30 20 88.0 5.62 1.17 1.22 5.07 4.99 65.4 77.9 141 147 70.5 166GL24h 5 65 225 10 0 80.0 5.05 0.857 0.893 4.77 4.65 36.1 48.2 245 212 70.9 168GL24h 5 65 225 10 20 99.0 5.05 0.857 0.893 4.77 4.65 36.1 48.2 230 209 70.9 168GL24h 5 65 225 20 0 81.0 5.05 0.857 0.893 4.62 4.51 54.0 66.7 207 176 70.9 168GL24h 5 65 225 20 20 101 5.05 0.857 0.893 4.62 4.51 54.0 66.7 178 176 70.9 168GL24h 5 65 225 30 0 81.0 5.05 0.857 0.893 4.57 4.49 66.0 78.7 186 162 70.9 168GL24h 5 65 225 30 20 101 5.05 0.857 0.893 4.57 4.49 66.0 78.7 149 161 70.9 168GL24h 5.5 65 225 10 0 86.0 4.59 0.647 0.674 4.33 4.23 36.3 48.5 277 236 71.2 169GL24h 5.5 65 225 10 20 107 4.59 0.647 0.674 4.33 4.23 36.3 48.5 261 226 71.2 169GL24h 5.5 65 225 20 0 88.0 4.59 0.647 0.674 4.20 4.10 54.4 67.2 231 195 71.2 169GL24h 5.5 65 225 20 20 110 4.59 0.647 0.674 4.20 4.10 54.4 67.2 205 188 71.2 169GL24h 5.5 65 225 30 0 89.0 4.59 0.647 0.674 4.15 4.09 66.5 79.3 205 175 71.2 169GL24h 5.5 65 225 30 20 111 4.59 0.647 0.674 4.15 4.09 66.5 79.3 172 171 71.2 169

Input: Steel grade S235, bs = b - 20mm Type 2 Extra lamellaType 1 Type 3Modified

Appendix B, Result data Uniformly distributed load

B-16


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL24h 2 65 270 10 0 89.0 15.2 19.2 19.7 14.7 14.5 19.9 21.9 54.5 45.6 34.0GL24h 2 65 270 10 20 111 15.2 19.2 19.7 14.7 14.5 19.9 21.9 56.0 45.6 34.0GL24h 2 65 270 20 0 59.0 15.2 19.2 19.7 14.4 14.0 27.2 28.8 45.8 39.9 34.0GL24h 2 65 270 20 20 74.0 15.2 19.2 19.7 14.4 14.0 27.2 28.8 47.1 39.9 34.0GL24h 2 65 270 30 0 44.0 15.2 19.2 19.7 14.1 13.9 31.9 33.1 43.4 39.5 34.0GL24h 2 65 270 30 20 55.0 15.2 19.2 19.7 14.1 13.9 31.9 33.1 44.3 39.5 34.0GL24h 2.5 65 270 10 0 89.0 12.1 10.6 11.0 11.8 11.6 33.6 39.6 79.8 66.8 51.6GL24h 2.5 65 270 10 20 111 12.1 10.6 11.0 11.8 11.6 33.6 39.6 81.6 66.8 51.6GL24h 2.5 65 270 20 0 59.0 12.1 10.6 11.0 11.5 11.2 48.1 47.5 69.6 60.3 51.6GL24h 2.5 65 270 20 20 73.0 12.1 10.6 11.0 11.5 11.2 48.1 47.5 71.2 60.3 51.6GL24h 2.5 65 270 30 0 44.0 12.1 10.6 11.0 11.3 11.1 53.5 52.5 66.8 59.9 51.6GL24h 2.5 65 270 30 20 55.0 12.1 10.6 11.0 11.3 11.1 53.5 52.5 68.1 59.9 51.6GL24h 3 65 270 10 0 88.0 10.1 6.37 6.64 9.82 9.64 35.5 48.0 107 92.1 53.6GL24h 3 65 270 10 20 110 10.1 6.37 6.64 9.82 9.64 35.5 48.0 109 92.1 53.6GL24h 3 65 270 20 0 59.0 10.1 6.37 6.64 9.57 9.35 53.7 66.8 94.2 84.7 53.6GL24h 3 65 270 20 20 74.0 10.1 6.37 6.64 9.57 9.35 53.7 66.8 97.2 84.7 53.6GL24h 3 65 270 30 0 44.0 10.1 6.37 6.64 9.43 9.25 65.3 75.7 88.9 84.2 53.6GL24h 3 65 270 30 20 55.0 10.1 6.37 6.64 9.43 9.25 65.3 75.7 93.5 84.2 53.6GL24h 3.5 65 270 10 0 89.0 8.66 4.12 4.29 8.42 8.26 36.7 49.8 131 119 54.8GL24h 3.5 65 270 10 20 111 8.66 4.12 4.29 8.42 8.26 36.7 49.8 138 119 54.8GL24h 3.5 65 270 20 0 59.0 8.66 4.12 4.29 8.20 8.01 55.8 69.7 111 110 54.8GL24h 3.5 65 270 20 20 73.0 8.66 4.12 4.29 8.20 8.01 55.8 69.7 124 110 54.8GL24h 3.5 65 270 30 0 44.0 8.66 4.12 4.29 8.08 7.93 68.1 81.6 107 108 54.8GL24h 3.5 65 270 30 20 55.0 8.66 4.12 4.29 8.08 7.93 68.1 81.6 116 108 54.8GL24h 4 65 270 10 0 88.0 7.58 2.80 2.92 7.37 7.23 37.6 51.1 156 145 55.7GL24h 4 65 270 10 20 110 7.58 2.80 2.92 7.37 7.23 37.6 51.1 167 145 55.7GL24h 4 65 270 20 0 58.0 7.58 2.80 2.92 7.18 7.01 57.3 71.8 140 132 55.7GL24h 4 65 270 20 20 73.0 7.58 2.80 2.92 7.18 7.01 57.3 71.8 148 132 55.7GL24h 4 65 270 30 0 44.0 7.58 2.80 2.92 7.07 6.94 70.1 84.1 132 127 55.7GL24h 4 65 270 30 20 54.0 7.58 2.80 2.92 7.07 6.94 70.1 84.1 139 128 55.7GL24h 4.5 65 270 10 0 88.0 6.74 1.99 2.08 6.55 6.42 38.2 52.0 188 171 56.3GL24h 4.5 65 270 10 20 110 6.74 1.99 2.08 6.55 6.42 38.2 52.0 194 171 56.3GL24h 4.5 65 270 20 0 59.0 6.74 1.99 2.08 6.38 6.23 58.4 73.2 166 152 56.3GL24h 4.5 65 270 20 20 73.0 6.74 1.99 2.08 6.38 6.23 58.4 73.2 168 152 56.3GL24h 4.5 65 270 30 0 47.0 6.74 1.99 2.08 6.29 6.16 71.5 86.0 155 144 56.3GL24h 4.5 65 270 30 20 58.0 6.74 1.99 2.08 6.29 6.16 71.5 86.0 154 144 56.3GL24h 5 65 270 10 0 88.0 6.07 1.46 1.53 5.89 5.78 38.7 52.7 219 196 56.7GL24h 5 65 270 10 20 110 6.07 1.46 1.53 5.89 5.78 38.7 52.7 220 196 56.7GL24h 5 65 270 20 0 69.0 6.07 1.46 1.53 5.74 5.61 59.2 74.3 192 171 56.7GL24h 5 65 270 20 20 87.0 6.07 1.46 1.53 5.74 5.61 59.2 74.3 186 171 56.7GL24h 5 65 270 30 0 67.0 6.07 1.46 1.53 5.66 5.55 72.5 87.3 177 160 56.7GL24h 5 65 270 30 20 83.0 6.07 1.46 1.53 5.66 5.55 72.5 87.3 167 160 56.7GL24h 5.5 65 270 10 0 89.0 5.51 1.11 1.15 5.36 5.26 39.0 53.2 250 221 57.1GL24h 5.5 65 270 10 20 111 5.51 1.11 1.15 5.36 5.26 39.0 53.2 246 221 57.1GL24h 5.5 65 270 20 0 82.0 5.51 1.11 1.15 5.22 5.10 59.8 75.2 217 190 57.1GL24h 5.5 65 270 20 20 102 5.51 1.11 1.15 5.22 5.10 59.8 75.2 204 190 57.1GL24h 5.5 65 270 30 0 81.0 5.51 1.11 1.15 5.14 5.04 73.3 88.4 198 176 57.1GL24h 5.5 65 270 30 20 101 5.51 1.11 1.15 5.14 5.04 73.3 88.4 179 176 57.1


B-17


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL24h 6 65 270 10 0 90.0 5.05 0.857 0.893 4.91 4.82 39.3 53.6 280 246 57.4GL24h 6 65 270 10 20 112 5.05 0.857 0.893 4.91 4.82 39.3 53.6 271 246 57.4GL24h 6 65 270 20 0 91.0 5.05 0.857 0.893 4.78 4.67 60.2 75.8 241 209 57.4GL24h 6 65 270 20 20 114 5.05 0.857 0.893 4.78 4.67 60.2 75.8 220 209 57.4GL24h 6 65 270 30 0 91.0 5.05 0.857 0.893 4.72 4.62 74.0 89.2 219 190 57.4GL24h 6 65 270 30 20 114 5.05 0.857 0.893 4.72 4.62 74.0 89.2 190 191 57.4GL24h 2 65 315 10 0 117 17.7 26.4 26.4 17.6 17.3 18.7 24.5 61.9 55.6GL24h 2 65 315 10 20 147 17.7 26.4 26.4 17.6 17.3 18.7 24.5 63.6 55.6GL24h 2 65 315 20 0 80.0 17.7 26.4 26.4 17.2 16.8 27.0 32.6 51.3 48.0GL24h 2 65 315 20 20 100 17.7 26.4 26.4 17.2 16.8 27.0 32.6 52.8 48.0GL24h 2 65 315 30 0 60.0 17.7 26.4 26.4 17.0 16.6 32.1 37.3 47.6 46.4GL24h 2 65 315 30 20 75.0 17.7 26.4 26.4 17.0 16.6 32.1 37.3 48.8 46.4GL24h 2.5 65 315 10 0 117 14.2 16.0 16.7 14.1 13.9 25.2 26.1 70.9 57.5GL24h 2.5 65 315 10 20 147 14.2 16.0 16.7 14.1 13.9 25.2 26.1 72.6 57.5GL24h 2.5 65 315 20 0 80.0 14.2 16.0 16.7 13.8 13.5 34.0 34.3 59.6 49.8GL24h 2.5 65 315 20 20 99.0 14.2 16.0 16.7 13.8 13.5 34.0 34.3 61.2 49.8GL24h 2.5 65 315 30 0 61.0 14.2 16.0 16.7 13.6 13.3 39.4 39.1 55.7 48.3GL24h 2.5 65 315 30 20 76.0 14.2 16.0 16.7 13.6 13.3 39.4 39.1 57.0 48.3GL24h 3 65 315 10 0 118 11.8 9.78 10.2 11.7 11.5 34.8 43.4 94.3 79.2GL24h 3 65 315 10 20 146 11.8 9.78 10.2 11.7 11.5 34.8 43.4 96.3 79.2GL24h 3 65 315 20 0 80.0 11.8 9.78 10.2 11.5 11.2 52.5 52.8 81.6 70.5GL24h 3 65 315 20 20 99.0 11.8 9.78 10.2 11.5 11.2 52.5 52.8 83.4 70.5GL24h 3 65 315 30 0 60.0 11.8 9.78 10.2 11.3 11.1 58.6 58.2 77.0 68.7GL24h 3 65 315 30 20 75.0 11.8 9.78 10.2 11.3 11.1 58.6 58.2 78.5 68.7GL24h 3.5 65 315 10 0 118 10.1 6.37 6.64 10.0 9.89 36.5 50.1 119 102GL24h 3.5 65 315 10 20 147 10.1 6.37 6.64 10.0 9.89 36.5 50.1 122 102GL24h 3.5 65 315 20 0 80.0 10.1 6.37 6.64 9.83 9.62 56.2 71.2 105 92.3GL24h 3.5 65 315 20 20 100 10.1 6.37 6.64 9.83 9.62 56.2 71.2 107 92.3GL24h 3.5 65 315 30 0 60.0 10.1 6.37 6.64 9.69 9.49 69.0 78.5 99.7 90.3GL24h 3.5 65 315 30 20 75.0 10.1 6.37 6.64 9.69 9.49 69.0 78.5 101 90.3GL24h 4 65 315 10 0 117 8.85 4.36 4.55 8.78 8.66 37.6 51.8 145 126GL24h 4 65 315 10 20 146 8.85 4.36 4.55 8.78 8.66 37.6 51.8 148 126GL24h 4 65 315 20 0 79.0 8.85 4.36 4.55 8.60 8.42 58.3 74.0 119 115GL24h 4 65 315 20 20 99.0 8.85 4.36 4.55 8.60 8.42 58.3 74.0 131 115GL24h 4 65 315 30 0 60.0 8.85 4.36 4.55 8.48 8.30 71.7 86.9 110 113GL24h 4 65 315 30 20 75.0 8.85 4.36 4.55 8.48 8.30 71.7 86.9 119 113GL24h 4.5 65 315 10 0 117 7.86 3.11 3.24 7.81 7.69 38.4 53.0 171 150GL24h 4.5 65 315 10 20 146 7.86 3.11 3.24 7.81 7.69 38.4 53.0 174 150GL24h 4.5 65 315 20 0 80.0 7.86 3.11 3.24 7.65 7.48 59.7 76.0 142 137GL24h 4.5 65 315 20 20 99.0 7.86 3.11 3.24 7.65 7.48 59.7 76.0 156 137GL24h 4.5 65 315 30 0 59.0 7.86 3.11 3.24 7.54 7.38 73.7 89.5 135 133GL24h 4.5 65 315 30 20 74.0 7.86 3.11 3.24 7.54 7.38 73.7 89.5 148 133GL24h 5 65 315 10 0 117 7.08 2.30 2.39 7.03 6.93 39.0 54.0 188 175GL24h 5 65 315 10 20 147 7.08 2.30 2.39 7.03 6.93 39.0 54.0 201 175GL24h 5 65 315 20 0 80.0 7.08 2.30 2.39 6.88 6.73 60.8 77.6 169 158GL24h 5 65 315 20 20 99.0 7.08 2.30 2.39 6.88 6.73 60.8 77.6 178 158GL24h 5 65 315 30 0 61.0 7.08 2.30 2.39 6.78 6.64 75.1 91.5 159 151GL24h 5 65 315 30 20 76.0 7.08 2.30 2.39 6.78 6.64 75.1 91.5 166 151


B-18


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL24h 5.5 65 315 10 0 116 6.43 1.74 1.81 6.39 6.30 39.5 54.7 218 199GL24h 5.5 65 315 10 20 145 6.43 1.74 1.81 6.39 6.30 39.5 54.7 228 199GL24h 5.5 65 315 20 0 80.0 6.43 1.74 1.81 6.26 6.12 61.7 78.7 194 177GL24h 5.5 65 315 20 20 100 6.43 1.74 1.81 6.26 6.12 61.7 78.7 198 178GL24h 5.5 65 315 30 0 59.0 6.43 1.74 1.81 6.17 6.04 76.3 93.0 180 167GL24h 5.5 65 315 30 20 74.0 6.43 1.74 1.81 6.17 6.04 76.3 93.0 181 167GL24h 6 65 315 10 0 117 5.90 1.35 1.40 5.86 5.77 39.8 55.2 248 224GL24h 6 65 315 10 20 146 5.90 1.35 1.40 5.86 5.77 39.8 55.2 253 224GL24h 6 65 315 20 0 80.0 5.90 1.35 1.40 5.73 5.61 62.3 79.7 218 197GL24h 6 65 315 20 20 100 5.90 1.35 1.40 5.73 5.61 62.3 79.7 217 196GL24h 6 65 315 30 0 77.0 5.90 1.35 1.40 5.65 5.53 77.2 94.2 202 183GL24h 6 65 315 30 20 96.0 5.90 1.35 1.40 5.65 5.53 77.2 94.2 195 183GL24h 6.5 65 315 10 0 116 5.44 1.07 1.11 5.41 5.33 40.1 55.7 276 247GL24h 6.5 65 315 10 20 145 5.44 1.07 1.11 5.41 5.33 40.1 55.7 279 247GL24h 6.5 65 315 20 0 92.0 5.44 1.07 1.11 5.29 5.18 62.8 80.4 243 215GL24h 6.5 65 315 20 20 114 5.44 1.07 1.11 5.29 5.18 62.8 80.4 236 215GL24h 6.5 65 315 30 0 90.0 5.44 1.07 1.11 5.22 5.11 77.9 95.1 222 198GL24h 6.5 65 315 30 20 113 5.44 1.07 1.11 5.22 5.11 77.9 95.1 209 198GL24h 7 65 315 10 0 117 5.05 0.857 0.893 5.02 4.95 40.4 56.0 305 271GL24h 7 65 315 10 20 146 5.05 0.857 0.893 5.02 4.95 40.4 56.0 304 271GL24h 7 65 315 20 0 101 5.05 0.857 0.893 4.91 4.81 63.3 81.0 266 233GL24h 7 65 315 20 20 126 5.05 0.857 0.893 4.91 4.81 63.3 81.0 254 233GL24h 7 65 315 30 0 101 5.05 0.857 0.893 4.84 4.74 78.4 95.9 243 213GL24h 7 65 315 30 20 126 5.05 0.857 0.893 4.84 4.74 78.4 95.9 222 213GL28h 4 90 225 10 0 107 9.72 2.48 2.59 9.15 8.93 36.0 48.0 192 170 69.9 164GL28h 4 90 225 10 20 134 9.72 2.48 2.59 9.15 8.93 36.0 48.0 182 170 69.9 164GL28h 4 90 225 20 0 105 9.72 2.48 2.59 8.87 8.65 53.6 65.9 165 146 69.9 164GL28h 4 90 225 20 20 132 9.72 2.48 2.59 8.87 8.65 53.6 65.9 147 146 69.9 164GL28h 4 90 225 30 0 104 9.72 2.48 2.59 8.77 8.64 65.2 77.4 152 137 69.9 164GL28h 4 90 225 30 20 130 9.72 2.48 2.59 8.77 8.64 65.2 77.4 129 137 69.9 164GL28h 5 90 225 10 0 132 7.78 1.29 1.34 7.32 7.14 36.7 49.0 256 220 70.9 168GL28h 5 90 225 10 20 165 7.78 1.29 1.34 7.32 7.14 36.7 49.0 238 211 70.9 168GL28h 5 90 225 20 0 134 7.78 1.29 1.34 7.09 6.92 54.8 67.5 214 182 70.9 168GL28h 5 90 225 20 20 168 7.78 1.29 1.34 7.09 6.92 54.8 67.5 186 177 70.9 168GL28h 5 90 225 30 0 136 7.78 1.29 1.34 7.02 6.91 66.8 79.4 192 166 70.9 168GL28h 5 90 225 30 20 170 7.78 1.29 1.34 7.02 6.91 66.8 79.4 156 162 70.9 168GL28h 6 90 225 10 0 147 6.48 0.752 0.783 6.10 5.95 37.1 49.6 318 269 71.5 170GL28h 6 90 225 10 20 184 6.48 0.752 0.783 6.10 5.95 37.1 49.6 303 245 71.5 170GL28h 6 90 225 20 0 152 6.48 0.752 0.783 5.91 5.77 55.4 68.4 262 217 71.5 170GL28h 6 90 225 20 20 190 6.48 0.752 0.783 5.91 5.77 55.4 68.4 240 201 71.5 170GL28h 6 90 225 30 0 155 6.48 0.752 0.783 5.85 5.76 67.7 80.6 231 193 71.5 170GL28h 6 90 225 30 20 193 6.48 0.752 0.783 5.85 5.76 67.7 80.6 205 181 71.5 170GL28h 7 90 225 10 0 158 5.55 0.476 0.496 5.23 5.10 37.4 49.9 379 318 71.8 171GL28h 7 90 225 10 20 197 5.55 0.476 0.496 5.23 5.10 37.4 49.9 368 278 71.8 171GL28h 7 90 225 20 0 164 5.55 0.476 0.496 5.07 4.95 55.8 68.9 310 252 71.8 171GL28h 7 90 225 20 20 205 5.55 0.476 0.496 5.07 4.95 55.8 68.9 295 224 71.8 171GL28h 7 90 225 30 0 168 5.55 0.476 0.496 5.01 4.93 68.2 81.2 270 220 71.8 171GL28h 7 90 225 30 20 206 5.55 0.476 0.496 5.01 4.93 68.2 81.2 254 199 71.8 171


B-19


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 4 90 270 10 0 126 11.7 4.22 4.39 11.3 11.1 38.3 52.0 170 156 55.7 127GL28h 4 90 270 10 20 158 11.7 4.22 4.39 11.3 11.1 38.3 52.0 175 156 55.7 127GL28h 4 90 270 20 0 84.0 11.7 4.22 4.39 11.0 10.8 58.1 72.6 151 140 55.7 127GL28h 4 90 270 20 20 105 11.7 4.22 4.39 11.0 10.8 58.1 72.6 153 140 55.7 127GL28h 4 90 270 30 0 64.0 11.7 4.22 4.39 10.9 10.7 70.9 84.9 142 135 55.7 127GL28h 4 90 270 30 20 79.0 11.7 4.22 4.39 10.9 10.7 70.9 84.9 142 135 55.7 127GL28h 5 90 270 10 0 127 9.33 2.20 2.29 9.06 8.88 39.4 53.6 231 207 56.7 131GL28h 5 90 270 10 20 159 9.33 2.20 2.29 9.06 8.88 39.4 53.6 227 207 56.7 131GL28h 5 90 270 20 0 125 9.33 2.20 2.29 8.82 8.61 60.0 75.2 201 179 56.7 131GL28h 5 90 270 20 20 156 9.33 2.20 2.29 8.82 8.61 60.0 75.2 188 179 56.7 131GL28h 5 90 270 30 0 123 9.33 2.20 2.29 8.70 8.53 73.4 88.2 185 166 56.7 131GL28h 5 90 270 30 20 154 9.33 2.20 2.29 8.70 8.53 73.4 88.2 166 166 56.7 131GL28h 6 90 270 10 0 150 7.78 1.29 1.34 7.55 7.40 40.0 54.5 292 256 57.3 132GL28h 6 90 270 10 20 188 7.78 1.29 1.34 7.55 7.40 40.0 54.5 282 247 57.3 132GL28h 6 90 270 20 0 153 7.78 1.29 1.34 7.35 7.18 61.1 76.7 251 216 57.3 132GL28h 6 90 270 20 20 191 7.78 1.29 1.34 7.35 7.18 61.1 76.7 225 213 57.3 132GL28h 6 90 270 30 0 154 7.78 1.29 1.34 7.25 7.11 74.9 90.1 226 196 57.3 132GL28h 6 90 270 30 20 193 7.78 1.29 1.34 7.25 7.11 74.9 90.1 191 195 57.3 132GL28h 7 90 270 10 0 166 6.67 0.817 0.851 6.47 6.34 40.4 55.1 353 305 57.7 134GL28h 7 90 270 10 20 207 6.67 0.817 0.851 6.47 6.34 40.4 55.1 341 284 57.7 134GL28h 7 90 270 20 0 172 6.67 0.817 0.851 6.30 6.15 61.8 77.7 299 252 57.7 134GL28h 7 90 270 20 20 215 6.67 0.817 0.851 6.30 6.15 61.8 77.7 276 237 57.7 134GL28h 7 90 270 30 0 174 6.67 0.817 0.851 6.21 6.09 75.8 91.2 266 225 57.7 134GL28h 7 90 270 30 20 218 6.67 0.817 0.851 6.21 6.09 75.8 91.2 237 214 57.7 134GL28h 8 90 270 10 0 177 5.83 0.550 0.573 5.66 5.55 40.7 55.5 414 354 58.0 134GL28h 8 90 270 10 20 222 5.83 0.550 0.573 5.66 5.55 40.7 55.5 401 317 58.0 134GL28h 8 90 270 20 0 185 5.83 0.550 0.573 5.51 5.38 62.2 78.3 347 288 58.0 134GL28h 8 90 270 20 20 231 5.83 0.550 0.573 5.51 5.38 62.2 78.3 328 261 58.0 134GL28h 8 90 270 30 0 189 5.83 0.550 0.573 5.43 5.33 76.4 92.0 306 253 58.0 134GL28h 8 90 270 30 20 236 5.83 0.550 0.573 5.43 5.33 76.4 92.0 283 233 58.0 134GL28h 4 90 315 10 0 167 13.6 6.56 6.84 13.5 13.3 38.3 52.7 149 137 46.0 103GL28h 4 90 315 10 20 209 13.6 6.56 6.84 13.5 13.3 38.3 52.7 158 137 46.0 103GL28h 4 90 315 20 0 113 13.6 6.56 6.84 13.2 12.9 59.2 74.9 130 127 46.0 103GL28h 4 90 315 20 20 141 13.6 6.56 6.84 13.2 12.9 59.2 74.9 143 127 46.0 103GL28h 4 90 315 30 0 86.0 13.6 6.56 6.84 13.0 12.8 72.6 87.8 125 124 46.0 103GL28h 4 90 315 30 20 107 13.6 6.56 6.84 13.0 12.8 72.6 87.8 137 124 46.0 103GL28h 5 90 315 10 0 166 10.9 3.45 3.60 10.8 10.6 39.8 54.9 204 187 47.1 106GL28h 5 90 315 10 20 208 10.9 3.45 3.60 10.8 10.6 39.8 54.9 211 187 47.1 106GL28h 5 90 315 20 0 113 10.9 3.45 3.60 10.6 10.3 61.8 78.6 182 168 47.1 106GL28h 5 90 315 20 20 142 10.9 3.45 3.60 10.6 10.3 61.8 78.6 184 168 47.1 106GL28h 5 90 315 30 0 90.0 10.9 3.45 3.60 10.4 10.2 76.1 92.4 170 159 47.1 106GL28h 5 90 315 30 20 112 10.9 3.45 3.60 10.4 10.2 76.1 92.4 170 159 47.1 106GL28h 6 90 315 10 0 166 9.07 2.03 2.11 9.00 8.87 40.7 56.2 262 236 47.7 108GL28h 6 90 315 10 20 208 9.07 2.03 2.11 9.00 8.87 40.7 56.2 263 232 47.7 108GL28h 6 90 315 20 0 144 9.07 2.03 2.11 8.81 8.62 63.3 80.7 231 205 47.7 108GL28h 6 90 315 20 20 179 9.07 2.03 2.11 8.81 8.62 63.3 80.7 221 206 47.7 108GL28h 6 90 315 30 0 141 9.07 2.03 2.11 8.68 8.50 78.2 95.2 213 190 47.7 108GL28h 6 90 315 30 20 176 9.07 2.03 2.11 8.68 8.50 78.2 95.2 196 190 47.7 108


B-20


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 7 90 315 10 0 168 7.78 1.29 1.34 7.72 7.60 41.2 57.1 321 283 48.1 109GL28h 7 90 315 10 20 210 7.78 1.29 1.34 7.72 7.60 41.2 57.1 318 268 48.1 109GL28h 7 90 315 20 0 171 7.78 1.29 1.34 7.55 7.39 64.3 82.1 279 242 48.1 109GL28h 7 90 315 20 20 214 7.78 1.29 1.34 7.55 7.39 64.3 82.1 256 241 48.1 109GL28h 7 90 315 30 0 172 7.78 1.29 1.34 7.44 7.29 79.5 96.9 253 220 48.1 109GL28h 7 90 315 30 20 215 7.78 1.29 1.34 7.44 7.29 79.5 96.9 220 220 48.1 109GL28h 8 90 315 10 0 184 6.80 0.869 0.905 6.75 6.65 41.5 57.6 378 330 48.4 110GL28h 8 90 315 10 20 230 6.80 0.869 0.905 6.75 6.65 41.5 57.6 372 306 48.4 110GL28h 8 90 315 20 0 190 6.80 0.869 0.905 6.61 6.47 64.9 83.0 326 278 48.4 110GL28h 8 90 315 20 20 238 6.80 0.869 0.905 6.61 6.47 64.9 83.0 304 266 48.4 110GL28h 8 90 315 30 0 193 6.80 0.869 0.905 6.51 6.38 80.3 98.1 293 249 48.4 110GL28h 8 90 315 30 20 241 6.80 0.869 0.905 6.51 6.38 80.3 98.1 263 240 48.4 110GL28h 9 90 315 10 0 196 6.05 0.613 0.638 6.00 5.91 41.8 58.0 435 377 48.6 110GL28h 9 90 315 10 20 245 6.05 0.613 0.638 6.00 5.91 41.8 58.0 425 345 48.6 110GL28h 9 90 315 20 0 205 6.05 0.613 0.638 5.87 5.75 65.3 83.6 373 313 48.6 110GL28h 9 90 315 20 20 256 6.05 0.613 0.638 5.87 5.75 65.3 83.6 353 290 48.6 110GL28h 9 90 315 30 0 209 6.05 0.613 0.638 5.79 5.67 80.9 98.9 333 278 48.6 110GL28h 9 90 315 30 20 261 6.05 0.613 0.638 5.79 5.67 80.9 98.9 307 260 48.6 110GL28h 4 90 360 10 0 211 15.6 9.58 10.0 15.7 15.5 37.2 51.6 138 120 38.9 85.4GL28h 4 90 360 10 20 264 15.6 9.58 10.0 15.7 15.5 37.2 51.6 141 120 38.9 85.4GL28h 4 90 360 20 0 144 15.6 9.58 10.0 15.4 15.1 58.1 74.4 119 110 38.9 85.4GL28h 4 90 360 20 20 180 15.6 9.58 10.0 15.4 15.1 58.1 74.4 126 110 38.9 85.4GL28h 4 90 360 30 0 110 15.6 9.58 10.0 15.2 14.9 71.8 87.6 110 108 38.9 85.4GL28h 4 90 360 30 20 138 15.6 9.58 10.0 15.2 14.9 71.8 87.6 120 108 38.9 85.4GL28h 5 90 360 10 0 211 12.4 5.08 5.29 12.5 12.4 39.0 54.4 185 166 40.0 88.6GL28h 5 90 360 10 20 263 12.4 5.08 5.29 12.5 12.4 39.0 54.4 190 166 40.0 88.6GL28h 5 90 360 20 0 145 12.4 5.08 5.29 12.3 12.1 61.4 79.1 159 152 40.0 88.6GL28h 5 90 360 20 20 181 12.4 5.08 5.29 12.3 12.1 61.4 79.1 171 152 40.0 88.6GL28h 5 90 360 30 0 109 12.4 5.08 5.29 12.2 11.9 76.2 93.6 151 147 40.0 88.6GL28h 5 90 360 30 20 137 12.4 5.08 5.29 12.2 11.9 76.2 93.6 162 147 40.0 88.6GL28h 6 90 360 10 0 211 10.4 3.00 3.12 10.5 10.3 40.0 56.1 231 213 40.7 90.5GL28h 6 90 360 10 20 263 10.4 3.00 3.12 10.5 10.3 40.0 56.1 241 213 40.7 90.5GL28h 6 90 360 20 0 144 10.4 3.00 3.12 10.3 10.1 63.4 81.9 208 191 40.7 90.5GL28h 6 90 360 20 20 180 10.4 3.00 3.12 10.3 10.1 63.4 81.9 211 191 40.7 90.5GL28h 6 90 360 30 0 113 10.4 3.00 3.12 10.1 9.93 78.9 97.2 194 180 40.7 90.5GL28h 6 90 360 30 20 141 10.4 3.00 3.12 10.1 9.93 78.9 97.2 194 180 40.7 90.5GL28h 7 90 360 10 0 210 8.89 1.91 1.99 8.96 8.86 40.7 57.1 286 259 41.1 91.7GL28h 7 90 360 10 20 263 8.89 1.91 1.99 8.96 8.86 40.7 57.1 292 248 41.1 91.7GL28h 7 90 360 20 0 162 8.89 1.91 1.99 8.81 8.64 64.6 83.7 254 227 41.1 91.7GL28h 7 90 360 20 20 202 8.89 1.91 1.99 8.81 8.64 64.6 83.7 248 227 41.1 91.7GL28h 7 90 360 30 0 159 8.89 1.91 1.99 8.69 8.51 80.6 99.5 234 211 41.1 91.7GL28h 7 90 360 30 20 199 8.89 1.91 1.99 8.69 8.51 80.6 99.5 222 210 41.1 91.7GL28h 8 90 360 10 0 210 7.78 1.29 1.34 7.84 7.76 41.2 57.8 341 304 41.4 92.6GL28h 8 90 360 10 20 263 7.78 1.29 1.34 7.84 7.76 41.2 57.8 344 282 41.4 92.6GL28h 8 90 360 20 0 189 7.78 1.29 1.34 7.71 7.56 65.4 84.9 301 263 41.4 92.6GL28h 8 90 360 20 20 236 7.78 1.29 1.34 7.71 7.56 65.4 84.9 283 263 41.4 92.6GL28h 8 90 360 30 0 189 7.78 1.29 1.34 7.61 7.45 81.8 101 274 240 41.4 92.6GL28h 8 90 360 30 20 236 7.78 1.29 1.34 7.61 7.45 81.8 101 248 240 41.4 92.6


B-21


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 9 90 360 10 0 210 6.91 0.910 0.948 6.97 6.89 41.5 58.3 395 349 41.6 93.1GL28h 9 90 360 10 20 262 6.91 0.910 0.948 6.97 6.89 41.5 58.3 395 316 41.6 93.1GL28h 9 90 360 20 0 208 6.91 0.910 0.948 6.86 6.72 66.0 85.7 346 298 41.6 93.1GL28h 9 90 360 20 20 260 6.91 0.910 0.948 6.86 6.72 66.0 85.7 327 288 41.6 93.1GL28h 9 90 360 30 0 211 6.91 0.910 0.948 6.76 6.62 82.6 102 313 269 41.6 93.1GL28h 9 90 360 30 20 264 6.91 0.910 0.948 6.76 6.62 82.6 102 285 262 41.6 93.1GL28h 10 90 360 10 0 214 6.22 0.666 0.694 6.27 6.20 41.7 58.7 449 394 41.8 93.5GL28h 10 90 360 10 20 267 6.22 0.666 0.694 6.27 6.20 41.7 58.7 448 346 41.8 93.5GL28h 10 90 360 20 0 223 6.22 0.666 0.694 6.17 6.05 66.5 86.3 390 333 41.8 93.5GL28h 10 90 360 20 20 279 6.22 0.666 0.694 6.17 6.05 66.5 86.3 373 312 41.8 93.5GL28h 10 90 360 30 0 228 6.22 0.666 0.694 6.09 5.96 83.1 103 352 297 41.8 93.5GL28h 10 90 360 30 20 285 6.22 0.666 0.694 6.09 5.96 83.1 103 326 282 41.8 93.5GL28h 11 90 360 10 0 224 5.66 0.502 0.523 5.70 5.64 41.9 58.9 503 438 41.9 93.8GL28h 11 90 360 10 20 280 5.66 0.502 0.523 5.70 5.64 41.9 58.9 501 376 41.9 93.8GL28h 11 90 360 20 0 235 5.66 0.502 0.523 5.61 5.50 66.8 86.8 435 367 41.9 93.8GL28h 11 90 360 20 20 294 5.66 0.502 0.523 5.61 5.50 66.8 86.8 419 336 41.9 93.8GL28h 11 90 360 30 0 241 5.66 0.502 0.523 5.53 5.42 83.6 104 390 325 41.9 93.8GL28h 11 90 360 30 20 301 5.66 0.502 0.523 5.53 5.42 83.6 104 367 301 41.9 93.8GL28h 4 90 405 10 0 258 17.5 13.3 13.9 17.8 17.7 35.3 49.5 125 107 33.5 72.6GL28h 4 90 405 10 20 307 17.5 13.3 13.9 17.8 17.7 35.3 49.5 127 107 33.5 72.6GL28h 4 90 405 20 0 179 17.5 13.3 13.9 17.6 17.3 55.9 70.4 109 96.2 33.5 72.6GL28h 4 90 405 20 20 224 17.5 13.3 13.9 17.6 17.3 55.9 70.4 112 96.2 33.5 72.6GL28h 4 90 405 30 0 139 17.5 13.3 13.9 17.4 17.1 69.4 77.2 103 93.1 33.5 72.6GL28h 4 90 405 30 20 174 17.5 13.3 13.9 17.4 17.1 69.4 77.2 105 93.1 33.5 72.6GL28h 5 90 405 10 0 259 14.0 7.11 7.41 14.3 14.2 37.5 52.8 169 148 34.7 75.8GL28h 5 90 405 10 20 307 14.0 7.11 7.41 14.3 14.2 37.5 52.8 172 148 34.7 75.8GL28h 5 90 405 20 0 179 14.0 7.11 7.41 14.1 13.9 59.8 77.8 143 135 34.7 75.8GL28h 5 90 405 20 20 223 14.0 7.11 7.41 14.1 13.9 59.8 77.8 154 135 34.7 75.8GL28h 5 90 405 30 0 139 14.0 7.11 7.41 13.9 13.7 74.8 92.7 128 131 34.7 75.8GL28h 5 90 405 30 20 174 14.0 7.11 7.41 13.9 13.7 74.8 92.7 142 131 34.7 75.8GL28h 6 90 405 10 0 257 11.7 4.22 4.39 11.9 11.8 38.8 54.8 215 191 35.4 77.7GL28h 6 90 405 10 20 307 11.7 4.22 4.39 11.9 11.8 38.8 54.8 218 190 35.4 77.7GL28h 6 90 405 20 0 179 11.7 4.22 4.39 11.8 11.6 62.2 81.2 183 174 35.4 77.7GL28h 6 90 405 20 20 224 11.7 4.22 4.39 11.8 11.6 62.2 81.2 196 174 35.4 77.7GL28h 6 90 405 30 0 139 11.7 4.22 4.39 11.6 11.4 78.0 97.1 173 166 35.4 77.7GL28h 6 90 405 30 20 174 11.7 4.22 4.39 11.6 11.4 78.0 97.1 184 166 35.4 77.7GL28h 7 90 405 10 0 257 10.0 2.69 2.81 10.2 10.1 39.6 56.1 254 234 35.9 78.9GL28h 7 90 405 10 20 307 10.0 2.69 2.81 10.2 10.1 39.6 56.1 266 225 35.9 78.9GL28h 7 90 405 20 0 178 10.0 2.69 2.81 10.1 9.90 63.7 83.5 229 210 35.9 78.9GL28h 7 90 405 20 20 223 10.0 2.69 2.81 10.1 9.90 63.7 83.5 235 210 35.9 78.9GL28h 7 90 405 30 0 138 10.0 2.69 2.81 10.0 9.75 80.1 100 214 198 35.9 78.9GL28h 7 90 405 30 20 172 10.0 2.69 2.81 10.0 9.75 80.1 100 216 198 35.9 78.9GL28h 8 90 405 10 0 258 8.75 1.82 1.90 8.92 8.86 40.1 56.9 306 278 36.2 79.7GL28h 8 90 405 10 20 307 8.75 1.82 1.90 8.92 8.86 40.1 56.9 314 251 36.2 79.7GL28h 8 90 405 20 0 180 8.75 1.82 1.90 8.82 8.67 64.7 85.0 274 246 36.2 79.7GL28h 8 90 405 20 20 225 8.75 1.82 1.90 8.82 8.67 64.7 85.0 271 246 36.2 79.7GL28h 8 90 405 30 0 177 8.75 1.82 1.90 8.71 8.53 81.6 102 253 227 36.2 79.7GL28h 8 90 405 30 20 221 8.75 1.82 1.90 8.71 8.53 81.6 102 244 227 36.2 79.7


B-22


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 9 90 405 10 0 258 7.78 1.29 1.34 7.93 7.87 40.5 57.5 357 321 36.4 80.3GL28h 9 90 405 10 20 307 7.78 1.29 1.34 7.93 7.87 40.5 57.5 363 277 36.4 80.3GL28h 9 90 405 20 0 206 7.78 1.29 1.34 7.84 7.70 65.4 86.0 317 280 36.4 80.3GL28h 9 90 405 20 20 257 7.78 1.29 1.34 7.84 7.70 65.4 86.0 306 280 36.4 80.3GL28h 9 90 405 30 0 206 7.78 1.29 1.34 7.74 7.59 82.6 103 292 256 36.4 80.3GL28h 9 90 405 30 20 258 7.78 1.29 1.34 7.74 7.59 82.6 103 271 256 36.4 80.3GL28h 10 90 405 10 0 257 7.00 0.944 0.98 7.14 7.09 40.8 58.0 408 363 36.5 80.7GL28h 10 90 405 10 20 307 7.00 0.944 0.98 7.14 7.09 40.8 58.0 408 303 36.5 80.7GL28h 10 90 405 20 0 226 7.00 0.944 0.98 7.05 6.93 66.0 86.8 361 314 36.5 80.7GL28h 10 90 405 20 20 282 7.00 0.944 0.98 7.05 6.93 66.0 86.8 346 307 36.5 80.7GL28h 10 90 405 30 0 229 7.00 0.944 0.98 6.97 6.83 83.3 104 329 285 36.5 80.7GL28h 10 90 405 30 20 286 7.00 0.944 0.98 6.97 6.83 83.3 104 304 280 36.5 80.7GL28h 11 90 405 10 0 256 6.36 0.712 0.742 6.49 6.44 41.0 58.3 445 395 36.6 81.0GL28h 11 90 405 10 20 307 6.36 0.712 0.742 6.49 6.44 41.0 58.3 445 328 36.6 81.0GL28h 11 90 405 20 0 241 6.36 0.712 0.742 6.41 6.30 66.4 87.4 404 348 36.6 81.0GL28h 11 90 405 20 20 301 6.36 0.712 0.742 6.41 6.30 66.4 87.4 389 331 36.6 81.0GL28h 11 90 405 30 0 246 6.36 0.712 0.742 6.33 6.21 83.9 105 367 313 36.6 81.0GL28h 11 90 405 30 20 307 6.36 0.712 0.742 6.33 6.21 83.9 105 342 299 36.6 81.0GL28h 4 90 450 10 0 306 19.4 17.8 18.5 20.0 19.9 33.3 44.9 114 96.9 29.3GL28h 4 90 450 10 20 307 19.4 17.8 18.5 20.0 19.9 33.3 44.9 114 94.7 29.3GL28h 4 90 450 20 0 217 19.4 17.8 18.5 19.8 19.6 53.0 57.1 98.5 85.2 29.3GL28h 4 90 450 20 20 271 19.4 17.8 18.5 19.8 19.6 53.0 57.1 101 85.2 29.3GL28h 4 90 450 30 0 168 19.4 17.8 18.5 19.6 19.3 62.3 63.8 91.9 81.5 29.3GL28h 4 90 450 30 20 209 19.4 17.8 18.5 19.6 19.3 62.3 63.8 94.0 81.5 29.3GL28h 5 90 450 10 0 307 15.6 9.58 10.0 16.0 15.9 35.7 50.6 154 134 30.5GL28h 5 90 450 10 20 307 15.6 9.58 10.0 16.0 15.9 35.7 50.6 154 131 30.5GL28h 5 90 450 20 0 217 15.6 9.58 10.0 15.9 15.6 57.5 75.4 136 120 30.5GL28h 5 90 450 20 20 271 15.6 9.58 10.0 15.9 15.6 57.5 75.4 138 120 30.5GL28h 5 90 450 30 0 168 15.6 9.58 10.0 15.7 15.4 72.3 90.3 128 115 30.5GL28h 5 90 450 30 20 209 15.6 9.58 10.0 15.7 15.4 72.3 90.3 130 115 30.5GL28h 6 90 450 10 0 307 13.0 5.71 5.95 13.3 13.3 37.1 52.9 196 172 31.2GL28h 6 90 450 10 20 307 13.0 5.71 5.95 13.3 13.3 37.1 52.9 196 169 31.2GL28h 6 90 450 20 0 216 13.0 5.71 5.95 13.2 13.0 60.2 79.4 164 156 31.2GL28h 6 90 450 20 20 270 13.0 5.71 5.95 13.2 13.0 60.2 79.4 178 156 31.2GL28h 6 90 450 30 0 168 13.0 5.71 5.95 13.1 12.8 76.1 95.6 151 151 31.2GL28h 6 90 450 30 20 209 13.0 5.71 5.95 13.1 12.8 76.1 95.6 169 151 31.2GL28h 7 90 450 10 0 306 11.1 3.66 3.81 11.4 11.4 38.1 54.4 239 212 31.7GL28h 7 90 450 10 20 307 11.1 3.66 3.81 11.4 11.4 38.1 54.4 239 199 31.7GL28h 7 90 450 20 0 216 11.1 3.66 3.81 11.3 11.2 62.0 82.1 205 192 31.7GL28h 7 90 450 20 20 270 11.1 3.66 3.81 11.3 11.2 62.0 82.1 218 192 31.7GL28h 7 90 450 30 0 167 11.1 3.66 3.81 11.2 11.0 78.6 99.1 193 183 31.7GL28h 7 90 450 30 20 209 11.1 3.66 3.81 11.2 11.0 78.6 99.1 203 183 31.7GL28h 8 90 450 10 0 306 9.72 2.48 2.59 10.0 10.0 38.7 55.4 283 252 32.0GL28h 8 90 450 10 20 307 9.72 2.48 2.59 10.0 10.0 38.7 55.4 283 222 32.0GL28h 8 90 450 20 0 216 9.72 2.48 2.59 9.92 9.78 63.2 83.9 248 227 32.0GL28h 8 90 450 20 20 269 9.72 2.48 2.59 9.92 9.78 63.2 83.9 255 227 32.0GL28h 8 90 450 30 0 167 9.72 2.48 2.59 9.82 9.63 80.3 101 231 213 32.0GL28h 8 90 450 30 20 208 9.72 2.48 2.59 9.82 9.63 80.3 101 234 213 32.0


B-23


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 9 90 450 10 0 306 8.64 1.76 1.83 8.89 8.85 39.1 56.1 320 292 32.2GL28h 9 90 450 10 20 307 8.64 1.76 1.83 8.89 8.85 39.1 56.1 320 245 32.2GL28h 9 90 450 20 0 215 8.64 1.76 1.83 8.82 8.69 64.1 85.2 290 261 32.2GL28h 9 90 450 20 20 269 8.64 1.76 1.83 8.82 8.69 64.1 85.2 291 261 32.2GL28h 9 90 450 30 0 194 8.64 1.76 1.83 8.73 8.56 81.5 103 269 242 32.2GL28h 9 90 450 30 20 242 8.64 1.76 1.83 8.73 8.56 81.5 103 263 242 32.2GL28h 10 90 450 10 0 307 7.78 1.29 1.34 8.00 7.97 39.5 56.7 352 319 32.4GL28h 10 90 450 10 20 307 7.78 1.29 1.34 8.00 7.97 39.5 56.7 352 267 32.4GL28h 10 90 450 20 0 223 7.78 1.29 1.34 7.94 7.82 64.7 86.1 332 294 32.4GL28h 10 90 450 20 20 278 7.78 1.29 1.34 7.94 7.82 64.7 86.1 325 294 32.4GL28h 10 90 450 30 0 223 7.78 1.29 1.34 7.85 7.70 82.4 104 306 270 32.4GL28h 10 90 450 30 20 279 7.78 1.29 1.34 7.85 7.70 82.4 104 290 270 32.4GL28h 11 90 450 10 0 306 7.07 0.97 1.01 7.27 7.24 39.7 57.1 384 347 32.5GL28h 11 90 450 10 20 307 7.07 0.97 1.01 7.27 7.24 39.7 57.1 384 289 32.5GL28h 11 90 450 20 0 243 7.07 0.97 1.01 7.22 7.11 65.2 86.9 373 327 32.5GL28h 11 90 450 20 20 303 7.07 0.97 1.01 7.22 7.11 65.2 86.9 362 323 32.5GL28h 11 90 450 30 0 246 7.07 0.97 1.01 7.14 7.00 83.1 105 342 298 32.5GL28h 11 90 450 30 20 307 7.07 0.97 1.01 7.14 7.00 83.1 105 319 296 32.5GL28h 4 90 495 10 0 307 21.4 23.0 23.9 22.1 22.1 31.1 34.4 102 87.6GL28h 4 90 495 10 20 307 21.4 23.0 23.9 22.1 22.1 31.1 34.4 102 83.3GL28h 4 90 495 20 0 256 21.4 23.0 23.9 22.1 21.8 43.6 46.3 89.9 76.4GL28h 4 90 495 20 20 320 21.4 23.0 23.9 22.1 21.8 43.6 46.3 92.3 76.4GL28h 4 90 495 30 0 200 21.4 23.0 23.9 21.9 21.5 51.0 52.9 82.8 72.2GL28h 4 90 495 30 20 250 21.4 23.0 23.9 21.9 21.5 51.0 52.9 85.0 72.2GL28h 5 90 495 10 0 307 17.1 12.5 13.0 17.7 17.7 33.7 48.1 137 121GL28h 5 90 495 10 20 307 17.1 12.5 13.0 17.7 17.7 33.7 48.1 137 115GL28h 5 90 495 20 0 257 17.1 12.5 13.0 17.6 17.4 54.8 72.0 123 107GL28h 5 90 495 20 20 321 17.1 12.5 13.0 17.6 17.4 54.8 72.0 126 107GL28h 5 90 495 30 0 200 17.1 12.5 13.0 17.5 17.2 69.3 79.8 115 102GL28h 5 90 495 30 20 249 17.1 12.5 13.0 17.5 17.2 69.3 79.8 117 102GL28h 6 90 495 10 0 307 14.3 7.49 7.80 14.8 14.7 35.3 50.7 175 156GL28h 6 90 495 10 20 307 14.3 7.49 7.80 14.8 14.7 35.3 50.7 175 150GL28h 6 90 495 20 0 256 14.3 7.49 7.80 14.7 14.5 57.9 76.9 159 140GL28h 6 90 495 20 20 320 14.3 7.49 7.80 14.7 14.5 57.9 76.9 162 140GL28h 6 90 495 30 0 200 14.3 7.49 7.80 14.6 14.3 73.6 93.2 145 135GL28h 6 90 495 30 20 250 14.3 7.49 7.80 14.6 14.3 73.6 93.2 152 135GL28h 7 90 495 10 0 307 12.2 4.82 5.02 12.6 12.6 36.4 52.4 214 192GL28h 7 90 495 10 20 307 12.2 4.82 5.02 12.6 12.6 36.4 52.4 214 178GL28h 7 90 495 20 0 257 12.2 4.82 5.02 12.6 12.4 59.9 80.0 186 174GL28h 7 90 495 20 20 321 12.2 4.82 5.02 12.6 12.4 59.9 80.0 199 174GL28h 7 90 495 30 0 200 12.2 4.82 5.02 12.5 12.3 76.4 97.2 171 167GL28h 7 90 495 30 20 250 12.2 4.82 5.02 12.5 12.3 76.4 97.2 188 167GL28h 8 90 495 10 0 307 10.7 3.28 3.41 11.1 11.1 37.1 53.6 251 229GL28h 8 90 495 10 20 307 10.7 3.28 3.41 11.1 11.1 37.1 53.6 251 198GL28h 8 90 495 20 0 255 10.7 3.28 3.41 11.0 10.9 61.3 82.1 223 209GL28h 8 90 495 20 20 319 10.7 3.28 3.41 11.0 10.9 61.3 82.1 237 209GL28h 8 90 495 30 0 199 10.7 3.28 3.41 10.9 10.7 78.4 100 210 198GL28h 8 90 495 30 20 249 10.7 3.28 3.41 10.9 10.7 78.4 100 221 198


B-24


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 9 90 495 10 0 307 9.50 2.32 2.42 9.84 9.83 37.6 54.4 279 259GL28h 9 90 495 10 20 307 9.50 2.32 2.42 9.84 9.83 37.6 54.4 279 218GL28h 9 90 495 20 0 256 9.50 2.32 2.42 9.80 9.68 62.3 83.6 264 242GL28h 9 90 495 20 20 320 9.50 2.32 2.42 9.80 9.68 62.3 83.6 273 242GL28h 9 90 495 30 0 199 9.50 2.32 2.42 9.71 9.54 79.8 102 246 227GL28h 9 90 495 30 20 248 9.50 2.32 2.42 9.71 9.54 79.8 102 251 227GL28h 10 90 495 10 0 307 8.55 1.71 1.78 8.85 8.84 38.0 55.0 307 283GL28h 10 90 495 10 20 307 8.55 1.71 1.78 8.85 8.84 38.0 55.0 307 237GL28h 10 90 495 20 0 255 8.55 1.71 1.78 8.82 8.71 63.0 84.7 304 274GL28h 10 90 495 20 20 319 8.55 1.71 1.78 8.82 8.71 63.0 84.7 307 274GL28h 10 90 495 30 0 211 8.55 1.71 1.78 8.74 8.58 80.8 103 283 255GL28h 10 90 495 30 20 264 8.55 1.71 1.78 8.74 8.58 80.8 103 279 255GL28h 11 90 495 10 0 307 7.78 1.29 1.34 8.05 8.04 38.3 55.4 335 307GL28h 11 90 495 10 20 307 7.78 1.29 1.34 8.05 8.04 38.3 55.4 335 257GL28h 11 90 495 20 0 257 7.78 1.29 1.34 8.02 7.92 63.6 85.5 344 306GL28h 11 90 495 20 20 321 7.78 1.29 1.34 8.02 7.92 63.6 85.5 341 306GL28h 11 90 495 30 0 240 7.78 1.29 1.34 7.95 7.80 81.6 105 318 282GL28h 11 90 495 30 20 299 7.78 1.29 1.34 7.95 7.80 81.6 105 307 282GL28h 4 115 225 10 0 137 12.4 3.17 3.30 11.7 11.4 37.4 49.5 190 167 69.9 164GL28h 4 115 225 10 20 171 12.4 3.17 3.30 11.7 11.4 37.4 49.5 179 167 69.9 164GL28h 4 115 225 20 0 134 12.4 3.17 3.30 11.3 11.0 55.1 67.3 163 144 69.9 164GL28h 4 115 225 20 20 168 12.4 3.17 3.30 11.3 11.0 55.1 67.3 145 144 69.9 164GL28h 4 115 225 30 0 133 12.4 3.17 3.30 11.2 11.0 66.8 78.8 150 135 69.9 164GL28h 4 115 225 30 20 166 12.4 3.17 3.30 11.2 11.0 66.8 78.8 127 136 69.9 164GL28h 5 115 225 10 0 169 9.94 1.65 1.72 9.33 9.09 38.2 50.6 252 216 70.9 168GL28h 5 115 225 10 20 211 9.94 1.65 1.72 9.33 9.09 38.2 50.6 234 208 70.9 168GL28h 5 115 225 20 0 172 9.94 1.65 1.72 9.04 8.82 56.3 68.9 211 179 70.9 168GL28h 5 115 225 20 20 215 9.94 1.65 1.72 9.04 8.82 56.3 68.9 181 174 70.9 168GL28h 5 115 225 30 0 174 9.94 1.65 1.72 8.95 8.82 68.4 80.9 189 163 70.9 168GL28h 5 115 225 30 20 217 9.94 1.65 1.72 8.95 8.82 68.4 80.9 152 160 70.9 168GL28h 6 115 225 10 0 189 8.28 0.96 1.00 7.77 7.58 38.6 51.2 314 264 71.5 170GL28h 6 115 225 10 20 236 8.28 0.96 1.00 7.77 7.58 38.6 51.2 298 241 71.5 170GL28h 6 115 225 20 0 195 8.28 0.96 1.00 7.53 7.35 57.0 69.9 258 213 71.5 170GL28h 6 115 225 20 20 244 8.28 0.96 1.00 7.53 7.35 57.0 69.9 235 197 71.5 170GL28h 6 115 225 30 0 198 8.28 0.96 1.00 7.46 7.35 69.3 82.1 227 189 71.5 170GL28h 6 115 225 30 20 248 8.28 0.96 1.00 7.46 7.35 69.3 82.1 200 178 71.5 170GL28h 7 115 225 10 0 202 7.10 0.608 0.633 6.66 6.50 38.8 51.5 374 312 71.8 171GL28h 7 115 225 10 20 253 7.10 0.608 0.633 6.66 6.50 38.8 51.5 362 273 71.8 171GL28h 7 115 225 20 0 210 7.10 0.608 0.633 6.45 6.30 57.5 70.4 303 246 71.8 171GL28h 7 115 225 20 20 263 7.10 0.608 0.633 6.45 6.30 57.5 70.4 289 219 71.8 171GL28h 7 115 225 30 0 215 7.10 0.608 0.633 6.39 6.30 69.8 82.8 264 215 71.8 171GL28h 7 115 225 30 20 263 7.10 0.608 0.633 6.39 6.30 69.8 82.8 248 195 71.8 171GL28h 4 115 270 10 0 157 14.9 5.39 5.61 14.4 14.1 39.9 53.7 168 155 55.7 127GL28h 4 115 270 10 20 196 14.9 5.39 5.61 14.4 14.1 39.9 53.7 174 155 55.7 127GL28h 4 115 270 20 0 102 14.9 5.39 5.61 14.0 13.7 59.9 74.3 149 139 55.7 127GL28h 4 115 270 20 20 127 14.9 5.39 5.61 14.0 13.7 59.9 74.3 151 139 55.7 127GL28h 4 115 270 30 0 79.0 14.9 5.39 5.61 13.9 13.6 72.7 86.5 141 134 55.7 127GL28h 4 115 270 30 20 98.0 14.9 5.39 5.61 13.9 13.6 72.7 86.5 140 134 55.7 127


B-25


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 5 115 270 10 0 162 11.9 2.81 2.93 11.6 11.3 41.1 55.4 229 204 56.7 131GL28h 5 115 270 10 20 203 11.9 2.81 2.93 11.6 11.3 41.1 55.4 223 204 56.7 131GL28h 5 115 270 20 0 159 11.9 2.81 2.93 11.2 11.0 61.9 77.0 199 177 56.7 131GL28h 5 115 270 20 20 199 11.9 2.81 2.93 11.2 11.0 61.9 77.0 184 177 56.7 131GL28h 5 115 270 30 0 157 11.9 2.81 2.93 11.1 10.9 75.3 89.9 183 164 56.7 131GL28h 5 115 270 30 20 196 11.9 2.81 2.93 11.1 10.9 75.3 89.9 163 164 56.7 131GL28h 6 115 270 10 0 192 9.94 1.65 1.72 9.63 9.43 41.7 56.4 290 253 57.3 132GL28h 6 115 270 10 20 240 9.94 1.65 1.72 9.63 9.43 41.7 56.4 279 242 57.3 132GL28h 6 115 270 20 0 196 9.94 1.65 1.72 9.36 9.15 63.1 78.6 247 213 57.3 132GL28h 6 115 270 20 20 245 9.94 1.65 1.72 9.36 9.15 63.1 78.6 220 210 57.3 132GL28h 6 115 270 30 0 197 9.94 1.65 1.72 9.24 9.06 76.8 91.8 223 193 57.3 132GL28h 6 115 270 30 20 246 9.94 1.65 1.72 9.24 9.06 76.8 91.8 186 192 57.3 132GL28h 7 115 270 10 0 213 8.52 1.04 1.09 8.25 8.08 42.1 57.0 349 300 57.7 134GL28h 7 115 270 10 20 266 8.52 1.04 1.09 8.25 8.08 42.1 57.0 336 279 57.7 134GL28h 7 115 270 20 0 220 8.52 1.04 1.09 8.03 7.84 63.8 79.5 294 247 57.7 134GL28h 7 115 270 20 20 275 8.52 1.04 1.09 8.03 7.84 63.8 79.5 271 233 57.7 134GL28h 7 115 270 30 0 223 8.52 1.04 1.09 7.92 7.77 77.7 93.0 262 221 57.7 134GL28h 7 115 270 30 20 279 8.52 1.04 1.09 7.92 7.77 77.7 93.0 232 210 57.7 134GL28h 8 115 270 10 0 228 7.45 0.703 0.732 7.22 7.07 42.4 57.4 409 348 58.0 134GL28h 8 115 270 10 20 284 7.45 0.703 0.732 7.22 7.07 42.4 57.4 396 312 58.0 134GL28h 8 115 270 20 0 237 7.45 0.703 0.732 7.02 6.86 64.2 80.2 341 282 58.0 134GL28h 8 115 270 20 20 296 7.45 0.703 0.732 7.02 6.86 64.2 80.2 322 256 58.0 134GL28h 8 115 270 30 0 242 7.45 0.703 0.732 6.93 6.80 78.3 93.8 300 248 58.0 134GL28h 8 115 270 30 20 303 7.45 0.703 0.732 6.93 6.80 78.3 93.8 277 228 58.0 134GL28h 4 115 315 10 0 207 17.4 8.39 8.74 17.2 17.0 40.0 54.6 145 136 46.0 103GL28h 4 115 315 10 20 259 17.4 8.39 8.74 17.2 17.0 40.0 54.6 156 136 46.0 103GL28h 4 115 315 20 0 139 17.4 8.39 8.74 16.8 16.5 61.1 76.8 129 127 46.0 103GL28h 4 115 315 20 20 174 17.4 8.39 8.74 16.8 16.5 61.1 76.8 142 126 46.0 103GL28h 4 115 315 30 0 103 17.4 8.39 8.74 16.6 16.3 74.5 89.5 124 124 46.0 103GL28h 4 115 315 30 20 129 17.4 8.39 8.74 16.6 16.3 74.5 89.5 136 124 46.0 103GL28h 5 115 315 10 0 208 13.9 4.41 4.60 13.8 13.6 41.5 56.9 202 185 47.1 106GL28h 5 115 315 10 20 260 13.9 4.41 4.60 13.8 13.6 41.5 56.9 209 185 47.1 106GL28h 5 115 315 20 0 139 13.9 4.41 4.60 13.5 13.2 63.8 80.6 180 166 47.1 106GL28h 5 115 315 20 20 173 13.9 4.41 4.60 13.5 13.2 63.8 80.6 182 166 47.1 106GL28h 5 115 315 30 0 113 13.9 4.41 4.60 13.3 13.0 78.2 94.3 169 158 47.1 106GL28h 5 115 315 30 20 141 13.9 4.41 4.60 13.3 13.0 78.2 94.3 168 158 47.1 106GL28h 6 115 315 10 0 207 11.6 2.59 2.70 11.5 11.3 42.4 58.3 259 233 47.7 108GL28h 6 115 315 10 20 259 11.6 2.59 2.70 11.5 11.3 42.4 58.3 258 233 47.7 108GL28h 6 115 315 20 0 183 11.6 2.59 2.70 11.2 11.0 65.4 82.8 228 203 47.7 108GL28h 6 115 315 20 20 229 11.6 2.59 2.70 11.2 11.0 65.4 82.8 217 203 47.7 108GL28h 6 115 315 30 0 180 11.6 2.59 2.70 11.1 10.8 80.3 97.1 210 188 47.7 108GL28h 6 115 315 30 20 225 11.6 2.59 2.70 11.1 10.8 80.3 97.1 193 188 47.7 108GL28h 7 115 315 10 0 215 9.94 1.65 1.72 9.85 9.69 43.0 59.1 317 280 48.1 109GL28h 7 115 315 10 20 268 9.94 1.65 1.72 9.85 9.69 43.0 59.1 314 264 48.1 109GL28h 7 115 315 20 0 219 9.94 1.65 1.72 9.63 9.42 66.4 84.2 275 239 48.1 109GL28h 7 115 315 20 20 273 9.94 1.65 1.72 9.63 9.42 66.4 84.2 251 238 48.1 109GL28h 7 115 315 30 0 220 9.94 1.65 1.72 9.49 9.29 81.7 98.9 249 217 48.1 109GL28h 7 115 315 30 20 274 9.94 1.65 1.72 9.49 9.29 81.7 98.9 216 217 48.1 109


B-26


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 8 115 315 10 0 236 8.69 1.11 1.16 8.62 8.48 43.4 59.7 373 326 48.4 110GL28h 8 115 315 10 20 294 8.69 1.11 1.16 8.62 8.48 43.4 59.7 368 299 48.4 110GL28h 8 115 315 20 0 244 8.69 1.11 1.16 8.42 8.24 67.1 85.2 321 273 48.4 110GL28h 8 115 315 20 20 304 8.69 1.11 1.16 8.42 8.24 67.1 85.2 298 262 48.4 110GL28h 8 115 315 30 0 247 8.69 1.11 1.16 8.30 8.13 82.6 100 288 245 48.4 110GL28h 8 115 315 30 20 309 8.69 1.11 1.16 8.30 8.13 82.6 100 257 237 48.4 110GL28h 9 115 315 10 0 251 7.73 0.783 0.815 7.66 7.54 43.6 60.1 430 372 48.6 110GL28h 9 115 315 10 20 314 7.73 0.783 0.815 7.66 7.54 43.6 60.1 421 337 48.6 110GL28h 9 115 315 20 0 262 7.73 0.783 0.815 7.49 7.32 67.6 85.8 366 308 48.6 110GL28h 9 115 315 20 20 328 7.73 0.783 0.815 7.49 7.32 67.6 85.8 346 285 48.6 110GL28h 9 115 315 30 0 267 7.73 0.783 0.815 7.38 7.23 83.2 101 326 273 48.6 110GL28h 9 115 315 30 20 334 7.73 0.783 0.815 7.38 7.23 83.2 101 300 255 48.6 110GL28h 4 115 360 10 0 262 19.9 12.2 12.7 20.0 19.8 38.8 53.5 137 119 38.9 85.4GL28h 4 115 360 10 20 327 19.9 12.2 12.7 20.0 19.8 38.8 53.5 139 119 38.9 85.4GL28h 4 115 360 20 0 178 19.9 12.2 12.7 19.7 19.3 60.1 76.3 118 110 38.9 85.4GL28h 4 115 360 20 20 223 19.9 12.2 12.7 19.7 19.3 60.1 76.3 125 110 38.9 85.4GL28h 4 115 360 30 0 135 19.9 12.2 12.7 19.4 19.0 73.8 89.4 110 108 38.9 85.4GL28h 4 115 360 30 20 168 19.9 12.2 12.7 19.4 19.0 73.8 89.4 118 108 38.9 85.4GL28h 5 115 360 10 0 262 15.9 6.49 6.76 16.0 15.8 40.7 56.4 180 165 40.0 88.6GL28h 5 115 360 10 20 327 15.9 6.49 6.76 16.0 15.8 40.7 56.4 189 165 40.0 88.6GL28h 5 115 360 20 0 178 15.9 6.49 6.76 15.7 15.4 63.5 81.2 157 151 40.0 88.6GL28h 5 115 360 20 20 223 15.9 6.49 6.76 15.7 15.4 63.5 81.2 170 151 40.0 88.6GL28h 5 115 360 30 0 135 15.9 6.49 6.76 15.5 15.2 78.4 95.6 150 146 40.0 88.6GL28h 5 115 360 30 20 169 15.9 6.49 6.76 15.5 15.2 78.4 95.6 161 146 40.0 88.6GL28h 6 115 360 10 0 261 13.2 3.83 3.99 13.3 13.2 41.8 58.2 229 211 40.7 90.5GL28h 6 115 360 10 20 326 13.2 3.83 3.99 13.3 13.2 41.8 58.2 239 211 40.7 90.5GL28h 6 115 360 20 0 178 13.2 3.83 3.99 13.1 12.8 65.6 84.1 205 189 40.7 90.5GL28h 6 115 360 20 20 223 13.2 3.83 3.99 13.1 12.8 65.6 84.1 209 189 40.7 90.5GL28h 6 115 360 30 0 142 13.2 3.83 3.99 12.9 12.7 81.2 99.3 192 178 40.7 90.5GL28h 6 115 360 30 20 177 13.2 3.83 3.99 12.9 12.7 81.2 99.3 192 178 40.7 90.5GL28h 7 115 360 10 0 262 11.4 2.44 2.54 11.4 11.3 42.5 59.3 283 256 41.1 91.7GL28h 7 115 360 10 20 327 11.4 2.44 2.54 11.4 11.3 42.5 59.3 286 256 41.1 91.7GL28h 7 115 360 20 0 206 11.4 2.44 2.54 11.2 11.0 66.9 86.0 251 225 41.1 91.7GL28h 7 115 360 20 20 258 11.4 2.44 2.54 11.2 11.0 66.9 86.0 244 225 41.1 91.7GL28h 7 115 360 30 0 202 11.4 2.44 2.54 11.1 10.8 83.0 102 232 208 41.1 91.7GL28h 7 115 360 30 20 253 11.4 2.44 2.54 11.1 10.8 83.0 102 218 208 41.1 91.7GL28h 8 115 360 10 0 261 9.94 1.65 1.72 10.0 9.89 43.0 60.0 338 301 41.4 92.6GL28h 8 115 360 10 20 326 9.94 1.65 1.72 10.0 9.89 43.0 60.0 340 278 41.4 92.6GL28h 8 115 360 20 0 241 9.94 1.65 1.72 9.83 9.64 67.8 87.3 296 259 41.4 92.6GL28h 8 115 360 20 20 301 9.94 1.65 1.72 9.83 9.64 67.8 87.3 278 259 41.4 92.6GL28h 8 115 360 30 0 242 9.94 1.65 1.72 9.70 9.49 84.2 103 270 237 41.4 92.6GL28h 8 115 360 30 20 302 9.94 1.65 1.72 9.70 9.49 84.2 103 243 237 41.4 92.6GL28h 9 115 360 10 0 261 8.83 1.16 1.21 8.90 8.79 43.4 60.6 391 345 41.6 93.1GL28h 9 115 360 10 20 326 8.83 1.16 1.21 8.90 8.79 43.4 60.6 391 311 41.6 93.1GL28h 9 115 360 20 0 266 8.83 1.16 1.21 8.74 8.57 68.4 88.1 341 294 41.6 93.1GL28h 9 115 360 20 20 333 8.83 1.16 1.21 8.74 8.57 68.4 88.1 321 285 41.6 93.1GL28h 9 115 360 30 0 270 8.83 1.16 1.21 8.62 8.44 85.0 104 308 265 41.6 93.1GL28h 9 115 360 30 20 337 8.83 1.16 1.21 8.62 8.44 85.0 104 278 259 41.6 93.1


B-27


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 4 115 405 10 0 320 22.4 17.0 17.7 22.8 22.6 36.9 51.3 123 106 33.5 72.6GL28h 4 115 405 10 20 400 22.4 17.0 17.7 22.8 22.6 36.9 51.3 126 106 33.5 72.6GL28h 4 115 405 20 0 222 22.4 17.0 17.7 22.5 22.1 57.8 71.4 108 95.6 33.5 72.6GL28h 4 115 405 20 20 277 22.4 17.0 17.7 22.5 22.1 57.8 71.4 111 95.6 33.5 72.6GL28h 4 115 405 30 0 169 22.4 17.0 17.7 22.2 21.8 71.4 78.1 103 92.9 33.5 72.6GL28h 4 115 405 30 20 211 22.4 17.0 17.7 22.2 21.8 71.4 78.1 105 92.9 33.5 72.6GL28h 5 115 405 10 0 321 17.9 9.09 9.46 18.2 18.1 39.2 54.8 167 147 34.7 75.8GL28h 5 115 405 10 20 401 17.9 9.09 9.46 18.2 18.1 39.2 54.8 170 147 34.7 75.8GL28h 5 115 405 20 0 222 17.9 9.09 9.46 18.0 17.7 61.9 80.0 140 134 34.7 75.8GL28h 5 115 405 20 20 277 17.9 9.09 9.46 18.0 17.7 61.9 80.0 152 134 34.7 75.8GL28h 5 115 405 30 0 169 17.9 9.09 9.46 17.8 17.4 77.0 94.7 127 131 34.7 75.8GL28h 5 115 405 30 20 211 17.9 9.09 9.46 17.8 17.4 77.0 94.7 140 131 34.7 75.8GL28h 6 115 405 10 0 320 14.9 5.39 5.61 15.2 15.1 40.5 56.9 213 189 35.4 77.7GL28h 6 115 405 10 20 400 14.9 5.39 5.61 15.2 15.1 40.5 56.9 216 189 35.4 77.7GL28h 6 115 405 20 0 221 14.9 5.39 5.61 15.0 14.7 64.4 83.6 182 173 35.4 77.7GL28h 6 115 405 20 20 276 14.9 5.39 5.61 15.0 14.7 64.4 83.6 194 173 35.4 77.7GL28h 6 115 405 30 0 168 14.9 5.39 5.61 14.8 14.5 80.4 99.4 172 165 35.4 77.7GL28h 6 115 405 30 20 210 14.9 5.39 5.61 14.8 14.5 80.4 99.4 182 165 35.4 77.7GL28h 7 115 405 10 0 321 12.8 3.44 3.59 13.0 12.9 41.4 58.3 252 232 35.9 78.9GL28h 7 115 405 10 20 401 12.8 3.44 3.59 13.0 12.9 41.4 58.3 264 232 35.9 78.9GL28h 7 115 405 20 0 221 12.8 3.44 3.59 12.9 12.6 66.0 85.9 227 208 35.9 78.9GL28h 7 115 405 20 20 277 12.8 3.44 3.59 12.9 12.6 66.0 85.9 232 208 35.9 78.9GL28h 7 115 405 30 0 169 12.8 3.44 3.59 12.7 12.4 82.6 102 212 196 35.9 78.9GL28h 7 115 405 30 20 211 12.8 3.44 3.59 12.7 12.4 82.6 102 213 196 35.9 78.9GL28h 8 115 405 10 0 320 11.2 2.33 2.43 11.4 11.3 42.0 59.2 303 275 36.2 79.7GL28h 8 115 405 10 20 400 11.2 2.33 2.43 11.4 11.3 42.0 59.2 311 262 36.2 79.7GL28h 8 115 405 20 0 229 11.2 2.33 2.43 11.2 11.0 67.1 87.5 271 243 36.2 79.7GL28h 8 115 405 20 20 286 11.2 2.33 2.43 11.2 11.0 67.1 87.5 267 243 36.2 79.7GL28h 8 115 405 30 0 225 11.2 2.33 2.43 11.1 10.9 84.1 104 250 225 36.2 79.7GL28h 8 115 405 30 20 281 11.2 2.33 2.43 11.1 10.9 84.1 104 240 225 36.2 79.7GL28h 9 115 405 10 0 319 9.94 1.65 1.72 10.1 10.0 42.4 59.9 354 317 36.4 80.3GL28h 9 115 405 10 20 399 9.94 1.65 1.72 10.1 10.0 42.4 59.9 360 287 36.4 80.3GL28h 9 115 405 20 0 263 9.94 1.65 1.72 10.0 9.82 67.9 88.6 314 276 36.4 80.3GL28h 9 115 405 20 20 329 9.94 1.65 1.72 10.0 9.82 67.9 88.6 301 276 36.4 80.3GL28h 9 115 405 30 0 263 9.94 1.65 1.72 9.87 9.67 85.1 106 287 253 36.4 80.3GL28h 9 115 405 30 20 329 9.94 1.65 1.72 9.87 9.67 85.1 106 266 253 36.4 80.3GL28h 4 115 450 10 0 384 24.8 22.7 23.6 25.5 25.4 34.8 46.0 113 95.7 29.3GL28h 4 115 450 10 20 418 24.8 22.7 23.6 25.5 25.4 34.8 46.0 114 94.8 29.3GL28h 4 115 450 20 0 267 24.8 22.7 23.6 25.3 24.9 54.9 58.1 97.3 84.5 29.3GL28h 4 115 450 20 20 334 24.8 22.7 23.6 25.3 24.9 54.9 58.1 99.8 84.5 29.3GL28h 4 115 450 30 0 207 24.8 22.7 23.6 25.0 24.5 63.4 64.7 91.2 81.1 29.3GL28h 4 115 450 30 20 259 24.8 22.7 23.6 25.0 24.5 63.4 64.7 93.2 81.1 29.3GL28h 5 115 450 10 0 383 19.9 12.2 12.7 20.4 20.3 37.3 52.6 153 132 30.5GL28h 5 115 450 10 20 418 19.9 12.2 12.7 20.4 20.3 37.3 52.6 154 131 30.5GL28h 5 115 450 20 0 267 19.9 12.2 12.7 20.3 19.9 59.6 77.6 134 119 30.5GL28h 5 115 450 20 20 334 19.9 12.2 12.7 20.3 19.9 59.6 77.6 137 119 30.5GL28h 5 115 450 30 0 205 19.9 12.2 12.7 20.0 19.6 74.5 92.5 126 115 30.5GL28h 5 115 450 30 20 257 19.9 12.2 12.7 20.0 19.6 74.5 92.5 129 115 30.5


B-28


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 6 115 450 10 0 383 16.6 7.29 7.60 17.0 16.9 38.9 55.1 194 171 31.2GL28h 6 115 450 10 20 418 16.6 7.29 7.60 17.0 16.9 38.9 55.1 196 169 31.2GL28h 6 115 450 20 0 267 16.6 7.29 7.60 16.9 16.6 62.5 81.8 162 155 31.2GL28h 6 115 450 20 20 333 16.6 7.29 7.60 16.9 16.6 62.5 81.8 176 155 31.2GL28h 6 115 450 30 0 206 16.6 7.29 7.60 16.7 16.4 78.5 97.9 150 150 31.2GL28h 6 115 450 30 20 257 16.6 7.29 7.60 16.7 16.4 78.5 97.9 167 150 31.2GL28h 7 115 450 10 0 384 14.2 4.68 4.87 14.6 14.5 39.9 56.6 237 210 31.7GL28h 7 115 450 10 20 418 14.2 4.68 4.87 14.6 14.5 39.9 56.6 240 208 31.7GL28h 7 115 450 20 0 267 14.2 4.68 4.87 14.5 14.2 64.4 84.6 203 191 31.7GL28h 7 115 450 20 20 334 14.2 4.68 4.87 14.5 14.2 64.4 84.6 216 191 31.7GL28h 7 115 450 30 0 207 14.2 4.68 4.87 14.3 14.0 81.1 102 191 182 31.7GL28h 7 115 450 30 20 259 14.2 4.68 4.87 14.3 14.0 81.1 102 202 182 31.7GL28h 8 115 450 10 0 382 12.4 3.17 3.30 12.8 12.7 40.5 57.7 277 250 32.0GL28h 8 115 450 10 20 418 12.4 3.17 3.30 12.8 12.7 40.5 57.7 283 232 32.0GL28h 8 115 450 20 0 266 12.4 3.17 3.30 12.7 12.5 65.7 86.5 246 225 32.0GL28h 8 115 450 20 20 333 12.4 3.17 3.30 12.7 12.5 65.7 86.5 252 225 32.0GL28h 8 115 450 30 0 205 12.4 3.17 3.30 12.5 12.3 82.9 104 229 211 32.0GL28h 8 115 450 30 20 257 12.4 3.17 3.30 12.5 12.3 82.9 104 231 211 32.0GL28h 9 115 450 10 0 382 11.0 2.25 2.34 11.4 11.3 41.0 58.5 319 291 32.2GL28h 9 115 450 10 20 418 11.0 2.25 2.34 11.4 11.3 41.0 58.5 328 255 32.2GL28h 9 115 450 20 0 267 11.0 2.25 2.34 11.3 11.1 66.6 87.8 287 258 32.2GL28h 9 115 450 20 20 333 11.0 2.25 2.34 11.3 11.1 66.6 87.8 286 258 32.2GL28h 9 115 450 30 0 247 11.0 2.25 2.34 11.1 10.9 84.2 106 266 239 32.2GL28h 9 115 450 30 20 308 11.0 2.25 2.34 11.1 10.9 84.2 106 259 239 32.2GL28h 4 115 495 10 0 418 27.3 29.3 30.6 28.3 28.2 32.5 35.4 103 87.2GL28h 4 115 495 10 20 418 27.3 29.3 30.6 28.3 28.2 32.5 35.4 103 84.1GL28h 4 115 495 20 0 316 27.3 29.3 30.6 28.2 27.8 44.7 47.3 88.7 75.6GL28h 4 115 495 20 20 395 27.3 29.3 30.6 28.2 27.8 44.7 47.3 91.1 75.6GL28h 4 115 495 30 0 246 27.3 29.3 30.6 27.9 27.4 52.1 53.8 82.0 71.8GL28h 4 115 495 30 20 307 27.3 29.3 30.6 27.9 27.4 52.1 53.8 84.1 71.8GL28h 5 115 495 10 0 418 21.9 16.0 16.6 22.6 22.6 35.3 50.1 139 120GL28h 5 115 495 10 20 418 21.9 16.0 16.6 22.6 22.6 35.3 50.1 139 116GL28h 5 115 495 20 0 316 21.9 16.0 16.6 22.5 22.2 56.9 73.2 122 106GL28h 5 115 495 20 20 395 21.9 16.0 16.6 22.5 22.2 56.9 73.2 125 106GL28h 5 115 495 30 0 247 21.9 16.0 16.6 22.3 21.9 71.5 80.9 114 102GL28h 5 115 495 30 20 308 21.9 16.0 16.6 22.3 21.9 71.5 80.9 116 102GL28h 6 115 495 10 0 418 18.2 9.57 10.0 18.9 18.8 37.0 52.8 176 155GL28h 6 115 495 10 20 418 18.2 9.57 10.0 18.9 18.8 37.0 52.8 176 151GL28h 6 115 495 20 0 317 18.2 9.57 10.0 18.8 18.5 60.1 79.3 157 139GL28h 6 115 495 20 20 396 18.2 9.57 10.0 18.8 18.5 60.1 79.3 160 139GL28h 6 115 495 30 0 246 18.2 9.57 10.0 18.6 18.2 76.0 95.5 142 134GL28h 6 115 495 30 20 307 18.2 9.57 10.0 18.6 18.2 76.0 95.5 151 134GL28h 7 115 495 10 0 418 15.6 6.16 6.42 16.2 16.1 38.1 54.6 216 191GL28h 7 115 495 10 20 418 15.6 6.16 6.42 16.2 16.1 38.1 54.6 216 186GL28h 7 115 495 20 0 316 15.6 6.16 6.42 16.1 15.9 62.2 82.5 183 173GL28h 7 115 495 20 20 395 15.6 6.16 6.42 16.1 15.9 62.2 82.5 197 173GL28h 7 115 495 30 0 247 15.6 6.16 6.42 15.9 15.6 78.9 99.7 170 167GL28h 7 115 495 30 20 308 15.6 6.16 6.42 15.9 15.6 78.9 99.7 186 167


B-29


q.Ed inst

q.Ed fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

q.Ed inst

q.Ed fin 1x45 2x45



GL28h 8 115 495 10 0 418 13.7 4.19 4.36 14.1 14.1 38.9 55.8 255 228GL28h 8 115 495 10 20 418 13.7 4.19 4.36 14.1 14.1 38.9 55.8 255 207GL28h 8 115 495 20 0 315 13.7 4.19 4.36 14.1 13.9 63.7 84.7 221 207GL28h 8 115 495 20 20 393 13.7 4.19 4.36 14.1 13.9 63.7 84.7 234 207GL28h 8 115 495 30 0 245 13.7 4.19 4.36 13.9 13.7 81.0 103 208 196GL28h 8 115 495 30 20 306 13.7 4.19 4.36 13.9 13.7 81.0 103 219 196GL28h 9 115 495 10 0 418 12.1 2.97 3.09 12.6 12.5 39.5 56.7 293 265GL28h 9 115 495 10 20 418 12.1 2.97 3.09 12.6 12.5 39.5 56.7 293 228GL28h 9 115 495 20 0 315 12.1 2.97 3.09 12.5 12.3 64.8 86.3 261 239GL28h 9 115 495 20 20 393 12.1 2.97 3.09 12.5 12.3 64.8 86.3 269 240GL28h 9 115 495 30 0 244 12.1 2.97 3.09 12.4 12.2 82.5 105 244 225GL28h 9 115 495 30 20 305 12.1 2.97 3.09 12.4 12.2 82.5 105 248 225


B-30

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin

P.Ed inst

P.Ed fin

ω inst

ω fin

ω inst max

ω fin max

UNIT: m mm mm mm mm³ E+6

mm³ E+6

mm³ E+6

mm³ E+6

kN kN kN kN mm mm mm mm

GL24h 2 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 13.9 13.9 3.90 6.23 4.00 6.67GL24h 2.5 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 9.72 10.1 5.00 8.33 5.00 8.33GL24h 3 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 7.00 7.29 6.00 10.0 6.00 10.0GL24h 3.5 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 5.26 5.48 7.00 11.7 7.00 11.7GL24h 4 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 4.09 4.26 8.00 13.3 8.00 13.3GL24h 4.5 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 3.26 3.40 9.00 15.0 9.00 15.0GL24h 5 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 2.66 2.77 10.0 16.7 10.0 16.7GL24h 5.5 65 225 0 0.548 0.548 0.548 0.548 25.3 25.3 2.21 2.30 11.0 18.3 11.0 18.3GL24h 2 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 19.7 19.7 3.44 5.50 4.00 6.67GL24h 2.5 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 15.8 15.8 4.93 7.89 5.00 8.33GL24h 3 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 11.7 12.2 6.00 10.0 6.00 10.0GL24h 3.5 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 8.84 9.21 7.00 11.7 7.00 11.7GL24h 4 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 6.91 7.20 8.00 13.3 8.00 13.3GL24h 4.5 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 5.54 5.77 9.00 15.0 9.00 15.0GL24h 5 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 4.54 4.73 10.0 16.7 10.0 16.7GL24h 5.5 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 3.78 3.94 11.0 18.3 11.0 18.3GL24h 6 65 270 0 0.790 0.790 0.790 0.790 30.3 30.3 3.19 3.33 12.0 20.0 12.0 20.0GL24h 2 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 26.4 26.4 3.14 5.02 4.00 6.67GL24h 2.5 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 21.1 21.1 4.40 7.04 5.00 8.33GL24h 3 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 17.6 17.6 5.94 9.50 6.00 10.0GL24h 3.5 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 13.6 14.2 7.00 11.7 7.00 11.7GL24h 4 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 10.7 11.2 8.00 13.3 8.00 13.3GL24h 4.5 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 8.63 8.99 9.00 15.0 9.00 15.0GL24h 5 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 7.09 7.38 10.0 16.7 10.0 16.7GL24h 5.5 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 5.92 6.17 11.0 18.3 11.0 18.3GL24h 6 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 5.01 5.22 12.0 20.0 12.0 20.0GL24h 6.5 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 4.30 4.48 13.0 21.7 13.0 21.7GL24h 7 65 315 0 1.07 1.07 1.07 1.07 35.4 35.4 3.73 3.88 14.0 23.3 14.0 23.3GL28h 4 90 225 0 0.759 0.759 0.759 0.759 38.9 38.9 6.14 6.40 8.00 13.3 8.00 13.3GL28h 5 90 225 0 0.759 0.759 0.759 0.759 38.9 38.9 4.00 4.17 10.0 16.7 10.0 16.7GL28h 6 90 225 0 0.759 0.759 0.759 0.759 38.9 38.9 2.81 2.92 12.0 20.0 12.0 20.0GL28h 7 90 225 0 0.759 0.759 0.759 0.759 38.9 38.9 2.07 2.16 14.0 23.3 14.0 23.3GL28h 4 90 270 0 1.09 1.09 1.09 1.09 46.7 46.7 10.4 10.8 8.00 13.3 8.00 13.3GL28h 5 90 270 0 1.09 1.09 1.09 1.09 46.7 46.7 6.82 7.11 10.0 16.7 10.0 16.7GL28h 6 90 270 0 1.09 1.09 1.09 1.09 46.7 46.7 4.80 5.00 12.0 20.0 12.0 20.0GL28h 7 90 270 0 1.09 1.09 1.09 1.09 46.7 46.7 3.56 3.71 14.0 23.3 14.0 23.3GL28h 8 90 270 0 1.09 1.09 1.09 1.09 46.7 46.7 2.74 2.85 16.0 26.7 16.0 26.7GL28h 4 90 315 0 1.49 1.49 1.49 1.49 54.4 54.4 16.1 16.8 8.00 13.3 8.00 13.3GL28h 5 90 315 0 1.49 1.49 1.49 1.49 54.4 54.4 10.7 11.1 10.0 16.7 10.0 16.7GL28h 6 90 315 0 1.49 1.49 1.49 1.49 54.4 54.4 7.54 7.85 12.0 20.0 12.0 20.0GL28h 7 90 315 0 1.49 1.49 1.49 1.49 54.4 54.4 5.60 5.84 14.0 23.3 14.0 23.3GL28h 8 90 315 0 1.49 1.49 1.49 1.49 54.4 54.4 4.32 4.50 16.0 26.7 16.0 26.7GL28h 9 90 315 0 1.49 1.49 1.49 1.49 54.4 54.4 3.43 3.58 18.0 30.0 18.0 30.0GL28h 4 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 23.4 24.4 8.00 13.3 8.00 13.3GL28h 5 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 15.6 16.3 10.0 16.7 10.0 16.7GL28h 6 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 11.1 11.6 12.0 20.0 12.0 20.0GL28h 7 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 8.28 8.63 14.0 23.3 14.0 23.3

Appendix C, Raw data Point load at midpoint Beam type 1

C-1

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin

P.Ed inst

P.Ed fin

ω inst

ω fin

ω inst max

ω fin max


mm³ E+6

mm³ E+6

mm³ E+6


GL28h 8 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 6.40 6.67 16.0 26.7 16.0 26.7GL28h 9 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 5.09 5.31 18.0 30.0 18.0 30.0GL28h 10 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 4.15 4.32 20.0 33.3 20.0 33.3GL28h 11 90 360 0 1.94 1.94 1.94 1.94 62.2 62.2 3.44 3.58 22.0 36.7 22.0 36.7GL28h 4 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 32.3 33.7 8.00 13.3 8.00 13.3GL28h 5 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 21.8 22.7 10.0 16.7 10.0 16.7GL28h 6 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 15.6 16.2 12.0 20.0 12.0 20.0GL28h 7 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 11.7 12.2 14.0 23.3 14.0 23.3GL28h 8 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 9.04 9.42 16.0 26.7 16.0 26.7GL28h 9 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 7.20 7.50 18.0 30.0 18.0 30.0GL28h 10 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 5.87 6.12 20.0 33.3 20.0 33.3GL28h 11 90 405 0 2.46 2.46 2.46 2.46 70.0 70.0 4.87 5.08 22.0 36.7 22.0 36.7GL28h 4 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 42.0 42.0 7.84 12.5 8.00 13.3GL28h 5 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 29.2 30.5 10.0 16.7 10.0 16.7GL28h 6 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 21.1 21.9 12.0 20.0 12.0 20.0GL28h 7 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 15.8 16.5 14.0 23.3 14.0 23.3GL28h 8 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 12.3 12.8 16.0 26.7 16.0 26.7GL28h 9 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 9.81 10.2 18.0 30.0 18.0 30.0GL28h 10 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 8.01 8.34 20.0 33.3 20.0 33.3GL28h 11 90 450 0 3.04 3.04 3.04 3.04 77.8 77.8 6.65 6.93 22.0 36.7 22.0 36.7GL28h 4 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 50.4 50.4 7.31 11.7 8.00 13.3GL28h 5 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 38.0 39.6 10.0 16.7 10.0 16.7GL28h 6 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 27.5 28.7 12.0 20.0 12.0 20.0GL28h 7 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 20.8 21.6 14.0 23.3 14.0 23.3GL28h 8 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 16.2 16.9 16.0 26.7 16.0 26.7GL28h 9 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 13.0 13.5 18.0 30.0 18.0 30.0GL28h 10 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 10.6 11.0 20.0 33.3 20.0 33.3GL28h 11 90 495 0 3.68 3.68 3.68 3.68 85.5 85.5 8.81 9.17 22.0 36.7 22.0 36.7GL28h 4 115 225 0 0.97 0.97 0.97 0.97 49.7 49.7 7.85 8.18 8.00 13.3 8.00 13.3GL28h 5 115 225 0 0.97 0.97 0.97 0.97 49.7 49.7 5.11 5.33 10.0 16.7 10.0 16.7GL28h 6 115 225 0 0.97 0.97 0.97 0.97 49.7 49.7 3.59 3.74 12.0 20.0 12.0 20.0GL28h 7 115 225 0 0.97 0.97 0.97 0.97 49.7 49.7 2.65 2.76 14.0 23.3 14.0 23.3GL28h 4 115 270 0 1.40 1.40 1.40 1.40 59.6 59.6 13.3 13.8 8.00 13.3 8.00 13.3GL28h 5 115 270 0 1.40 1.40 1.40 1.40 59.6 59.6 8.72 9.08 10.0 16.7 10.0 16.7GL28h 6 115 270 0 1.40 1.40 1.40 1.40 59.6 59.6 6.14 6.39 12.0 20.0 12.0 20.0GL28h 7 115 270 0 1.40 1.40 1.40 1.40 59.6 59.6 4.55 4.74 14.0 23.3 14.0 23.3GL28h 8 115 270 0 1.40 1.40 1.40 1.40 59.6 59.6 3.50 3.65 16.0 26.7 16.0 26.7GL28h 4 115 315 0 1.90 1.90 1.90 1.90 69.6 69.6 20.6 21.4 8.00 13.3 8.00 13.3GL28h 5 115 315 0 1.90 1.90 1.90 1.90 69.6 69.6 13.6 14.2 10.0 16.7 10.0 16.7GL28h 6 115 315 0 1.90 1.90 1.90 1.90 69.6 69.6 9.64 10.0 12.0 20.0 12.0 20.0GL28h 7 115 315 0 1.90 1.90 1.90 1.90 69.6 69.6 7.16 7.46 14.0 23.3 14.0 23.3GL28h 8 115 315 0 1.90 1.90 1.90 1.90 69.6 69.6 5.52 5.75 16.0 26.7 16.0 26.7GL28h 9 115 315 0 1.90 1.90 1.90 1.90 69.6 69.6 4.39 4.57 18.0 30.0 18.0 30.0GL28h 4 115 360 0 2.48 2.48 2.48 2.48 79.5 79.5 29.9 31.1 8.00 13.3 8.00 13.3GL28h 5 115 360 0 2.48 2.48 2.48 2.48 79.5 79.5 20.0 20.8 10.0 16.7 10.0 16.7GL28h 6 115 360 0 2.48 2.48 2.48 2.48 79.5 79.5 14.2 14.8 12.0 20.0 12.0 20.0GL28h 7 115 360 0 2.48 2.48 2.48 2.48 79.5 79.5 10.6 11.0 14.0 23.3 14.0 23.3


C-2

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin

P.Ed inst

P.Ed fin

ω inst

ω fin

ω inst max

ω fin max


mm³ E+6

mm³ E+6

mm³ E+6


GL28h 8 115 360 0 2.48 2.48 2.48 2.48 79.5 79.5 8.18 8.52 16.0 26.7 16.0 26.7GL28h 9 115 360 0 2.48 2.48 2.48 2.48 79.5 79.5 6.51 6.78 18.0 30.0 18.0 30.0GL28h 4 115 405 0 3.14 3.14 3.14 3.14 89.4 89.4 41.3 43.0 8.00 13.3 8.00 13.3GL28h 5 115 405 0 3.14 3.14 3.14 3.14 89.4 89.4 27.9 29.0 10.0 16.7 10.0 16.7GL28h 6 115 405 0 3.14 3.14 3.14 3.14 89.4 89.4 19.9 20.8 12.0 20.0 12.0 20.0GL28h 7 115 405 0 3.14 3.14 3.14 3.14 89.4 89.4 14.9 15.5 14.0 23.3 14.0 23.3GL28h 8 115 405 0 3.14 3.14 3.14 3.14 89.4 89.4 11.6 12.0 16.0 26.7 16.0 26.7GL28h 9 115 405 0 3.14 3.14 3.14 3.14 89.4 89.4 9.21 9.59 18.0 30.0 18.0 30.0GL28h 4 115 450 0 3.88 3.88 3.88 3.88 99.4 99.4 53.7 53.7 7.84 12.5 8.00 13.3GL28h 5 115 450 0 3.88 3.88 3.88 3.88 99.4 99.4 37.4 38.9 10.0 16.7 10.0 16.7GL28h 6 115 450 0 3.88 3.88 3.88 3.88 99.4 99.4 26.9 28.0 12.0 20.0 12.0 20.0GL28h 7 115 450 0 3.88 3.88 3.88 3.88 99.4 99.4 20.2 21.1 14.0 23.3 14.0 23.3GL28h 8 115 450 0 3.88 3.88 3.88 3.88 99.4 99.4 15.7 16.4 16.0 26.7 16.0 26.7GL28h 9 115 450 0 3.88 3.88 3.88 3.88 99.4 99.4 12.5 13.1 18.0 30.0 18.0 30.0GL28h 4 115 495 0 4.70 4.70 4.70 4.70 109 109 64.3 64.3 7.31 11.7 8.00 13.3GL28h 5 115 495 0 4.70 4.70 4.70 4.70 109 109 48.6 50.6 10.0 16.7 10.0 16.7GL28h 6 115 495 0 4.70 4.70 4.70 4.70 109 109 35.2 36.7 12.0 20.0 12.0 20.0GL28h 7 115 495 0 4.70 4.70 4.70 4.70 109 109 26.5 27.7 14.0 23.3 14.0 23.3GL28h 8 115 495 0 4.70 4.70 4.70 4.70 109 109 20.7 21.6 16.0 26.7 16.0 26.7GL28h 9 115 495 0 4.70 4.70 4.70 4.70 109 109 16.5 17.2 18.0 30.0 18.0 30.0


C-3

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max

UNIT: m mm mm mm mm³

E+6 mm³

E+6 mm³

E+6 mm³

E+6kN kN N kN kN mm mm mm mm

GL24h 2 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 15.8 16.3 3.43 5.29 4.00 6.67GL24h 2 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 16.6 17.1 3.26 5.05 4.00 6.67GL24h 2 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 17.2 17.7 3.18 4.96 4.00 6.67GL24h 2.5 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 12.7 13.1 4.94 7.58 5.00 8.33GL24h 2.5 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 13.3 13.7 4.66 7.16 5.00 8.33GL24h 2.5 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 13.7 14.2 4.51 6.99 5.00 8.33GL24h 3 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 9.32 10.5 6.00 10.0 6.00 10.0GL24h 3 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 10.4 11.4 6.00 9.75 6.00 10.0GL24h 3 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 11.2 11.8 6.00 9.48 6.00 10.0GL24h 3.5 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 7.06 7.97 7.00 11.7 7.00 11.7GL24h 3.5 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 7.94 8.91 7.00 11.7 7.00 11.7GL24h 3.5 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 8.52 9.50 7.00 11.7 7.00 11.7GL24h 4 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 5.51 6.24 8.00 13.3 8.00 13.3GL24h 4 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 6.21 6.99 8.00 13.3 8.00 13.3GL24h 4 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 6.68 7.47 8.00 13.3 8.00 13.3GL24h 4.5 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 4.42 5.00 9.00 15.0 9.00 15.0GL24h 4.5 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 4.99 5.61 9.00 15.0 9.00 15.0GL24h 4.5 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 5.37 6.01 9.00 15.0 9.00 15.0GL24h 5 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 3.61 4.10 10.0 16.7 10.0 16.7GL24h 5 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 4.09 4.60 10.0 16.7 10.0 16.7GL24h 5 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 4.40 4.93 10.0 16.7 10.0 16.7GL24h 5.5 65 225 10 0.950 0.624 1.14 0.644 23.8 23.2 0 3.01 3.41 11.0 18.3 11.0 18.3GL24h 5.5 65 225 20 1.24 0.655 1.50 0.675 23.1 22.5 0 3.40 3.84 11.0 18.3 11.0 18.3GL24h 5.5 65 225 30 1.46 0.678 1.76 0.698 22.8 22.5 0 3.67 4.11 11.0 18.3 11.0 18.3GL24h 2 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 23.0 24.0 3.12 4.84 4.00 6.67GL24h 2 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 24.5 25.4 2.99 4.66 4.00 6.67GL24h 2 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 25.4 26.2 2.93 4.58 4.00 6.67GL24h 2.5 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 18.4 19.2 4.36 6.71 5.00 8.33GL24h 2.5 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 19.6 20.3 4.13 6.37 5.00 8.33GL24h 2.5 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 20.3 21.0 4.01 6.22 5.00 8.33GL24h 3 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 15.4 16.0 5.88 9.00 6.00 10.0GL24h 3 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 16.3 16.9 5.52 8.47 6.00 10.0GL24h 3 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 16.9 17.5 5.34 8.23 6.00 10.0GL24h 3.5 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 12.0 13.7 7.00 11.7 7.00 11.7GL24h 3.5 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 13.6 14.5 7.00 11.0 7.00 11.7GL24h 3.5 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 14.5 15.0 6.90 10.6 7.00 11.7GL24h 4 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 9.46 10.8 8.00 13.3 8.00 13.3GL24h 4 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 10.8 12.2 8.00 13.3 8.00 13.3GL24h 4 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 11.6 13.1 8.00 13.3 8.00 13.3GL24h 4.5 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 7.63 8.73 9.00 15.0 9.00 15.0GL24h 4.5 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 8.72 9.92 9.00 15.0 9.00 15.0GL24h 4.5 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 9.43 10.6 9.00 15.0 9.00 15.0GL24h 5 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 6.27 7.18 10.0 16.7 10.0 16.7GL24h 5 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 7.18 8.18 10.0 16.7 10.0 16.7GL24h 5 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 7.78 8.78 10.0 16.7 10.0 16.7GL24h 5.5 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 5.24 6.01 11.0 18.3 11.0 18.3GL24h 5.5 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 6.01 6.85 11.0 18.3 11.0 18.3

Input: bs = b - 20mm


C-4

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³



GL24h 5.5 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 6.51 7.36 11.0 18.3 11.0 18.3GL24h 6 65 270 10 1.39 0.924 1.70 0.962 29.5 28.9 0 4.44 5.09 12.0 20.0 12.0 20.0GL24h 6 65 270 20 1.87 0.980 2.33 1.02 28.7 28.0 0 5.10 5.82 12.0 20.0 12.0 20.0GL24h 6 65 270 30 2.25 1.02 2.81 1.05 28.3 27.7 0 5.53 6.26 12.0 20.0 12.0 20.0GL24h 2 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 31.4 32.9 2.94 4.60 4.00 6.67GL24h 2 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 33.6 35.0 2.85 4.47 4.00 6.67GL24h 2 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 34.9 36.3 2.81 4.42 4.00 6.67GL24h 2.5 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 25.1 26.3 3.99 6.19 5.00 8.33GL24h 2.5 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 26.8 28.0 3.82 5.92 5.00 8.33GL24h 2.5 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 27.9 29.0 3.72 5.80 5.00 8.33GL24h 3 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 20.9 21.9 5.28 8.13 6.00 10.0GL24h 3 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 22.4 23.4 5.00 7.69 6.00 10.0GL24h 3 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 23.3 24.2 4.84 7.48 6.00 10.0GL24h 3.5 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 17.9 18.8 6.81 10.4 7.00 11.7GL24h 3.5 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 19.2 20.0 6.39 9.78 7.00 11.7GL24h 3.5 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 19.9 20.7 6.16 9.48 7.00 11.7GL24h 4 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 14.6 16.4 8.00 13.1 8.00 13.3GL24h 4 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 16.8 17.5 8.00 12.2 8.00 13.3GL24h 4 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 17.5 18.1 7.69 11.8 8.00 13.3GL24h 4.5 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 11.9 13.6 9.00 15.0 9.00 15.0GL24h 4.5 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 13.7 15.6 9.00 14.9 9.00 15.0GL24h 4.5 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 14.8 16.1 9.00 14.4 9.00 15.0GL24h 5 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 9.81 11.3 10.0 16.7 10.0 16.7GL24h 5 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 11.3 13.0 10.0 16.7 10.0 16.7GL24h 5 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 12.3 14.0 10.0 16.7 10.0 16.7GL24h 5.5 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 8.22 9.49 11.0 18.3 11.0 18.3GL24h 5.5 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 9.51 10.9 11.0 18.3 11.0 18.3GL24h 5.5 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 10.4 11.8 11.0 18.3 11.0 18.3GL24h 6 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 6.99 8.07 12.0 20.0 12.0 20.0GL24h 6 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 8.10 9.32 12.0 20.0 12.0 20.0GL24h 6 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 8.83 10.1 12.0 20.0 12.0 20.0GL24h 6.5 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 6.01 6.94 13.0 21.7 13.0 21.7GL24h 6.5 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 6.97 8.03 13.0 21.7 13.0 21.7GL24h 6.5 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 7.60 8.68 13.0 21.7 13.0 21.7GL24h 7 65 315 10 1.89 1.28 2.34 1.34 35.1 34.6 0 5.22 6.03 14.0 23.3 14.0 23.3GL24h 7 65 315 20 2.57 1.37 3.28 1.43 34.4 33.7 0 6.06 6.99 14.0 23.3 14.0 23.3GL24h 7 65 315 30 3.15 1.42 4.02 1.48 33.9 33.2 0 6.62 7.56 14.0 23.3 14.0 23.3GL28h 4 90 225 10 1.33 0.866 1.60 0.894 36.6 35.7 0 8.33 9.43 8.00 13.3 8.00 13.3GL28h 4 90 225 20 1.73 0.909 2.10 0.936 35.5 34.6 0 9.39 10.5 8.00 13.3 8.00 13.3GL28h 4 90 225 30 2.05 0.940 2.47 0.969 35.1 34.5 0 10.1 11.3 8.00 13.3 8.00 13.3GL28h 5 90 225 10 1.33 0.866 1.60 0.894 36.6 35.7 0 5.46 6.19 10.0 16.7 10.0 16.7GL28h 5 90 225 20 1.73 0.909 2.10 0.936 35.5 34.6 0 6.17 6.95 10.0 16.7 10.0 16.7GL28h 5 90 225 30 2.05 0.940 2.47 0.969 35.1 34.5 0 6.65 7.44 10.0 16.7 10.0 16.7GL28h 6 90 225 10 1.33 0.866 1.60 0.894 36.6 35.7 0 3.84 4.36 12.0 20.0 12.0 20.0GL28h 6 90 225 20 1.73 0.909 2.10 0.936 35.5 34.6 0 4.35 4.91 12.0 20.0 12.0 20.0GL28h 6 90 225 30 2.05 0.940 2.47 0.969 35.1 34.5 0 4.69 5.26 12.0 20.0 12.0 20.0GL28h 7 90 225 10 1.33 0.866 1.60 0.894 36.6 35.7 0 2.85 3.23 14.0 23.3 14.0 23.3


C-5

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³



GL28h 7 90 225 20 1.73 0.909 2.10 0.936 35.5 34.6 0 3.23 3.64 14.0 23.3 14.0 23.3GL28h 7 90 225 30 2.05 0.940 2.47 0.969 35.1 34.5 0 3.48 3.91 14.0 23.3 14.0 23.3GL28h 4 90 270 10 1.95 1.28 2.39 1.34 45.3 44.4 0 14.3 16.3 8.00 13.3 8.00 13.3GL28h 4 90 270 20 2.62 1.36 3.27 1.41 44.1 43.1 0 16.3 18.5 8.00 13.3 8.00 13.3GL28h 4 90 270 30 3.16 1.41 3.94 1.46 43.5 42.6 0 17.6 19.8 8.00 13.3 8.00 13.3GL28h 5 90 270 10 1.95 1.28 2.39 1.34 45.3 44.4 0 9.48 10.9 10.0 16.7 10.0 16.7GL28h 5 90 270 20 2.62 1.36 3.27 1.41 44.1 43.1 0 10.9 12.4 10.0 16.7 10.0 16.7GL28h 5 90 270 30 3.16 1.41 3.94 1.46 43.5 42.6 0 11.8 13.3 10.0 16.7 10.0 16.7GL28h 6 90 270 10 1.95 1.28 2.39 1.34 45.3 44.4 0 6.71 7.71 12.0 20.0 12.0 20.0GL28h 6 90 270 20 2.62 1.36 3.27 1.41 44.1 43.1 0 7.71 8.80 12.0 20.0 12.0 20.0GL28h 6 90 270 30 3.16 1.41 3.94 1.46 43.5 42.6 0 8.36 9.45 12.0 20.0 12.0 20.0GL28h 7 90 270 10 1.95 1.28 2.39 1.34 45.3 44.4 0 4.99 5.74 14.0 23.3 14.0 23.3GL28h 7 90 270 20 2.62 1.36 3.27 1.41 44.1 43.1 0 5.74 6.56 14.0 23.3 14.0 23.3GL28h 7 90 270 30 3.16 1.41 3.94 1.46 43.5 42.6 0 6.23 7.06 14.0 23.3 14.0 23.3GL28h 8 90 270 10 1.95 1.28 2.39 1.34 45.3 44.4 0 3.85 4.43 16.0 26.7 16.0 26.7GL28h 8 90 270 20 2.62 1.36 3.27 1.41 44.1 43.1 0 4.44 5.07 16.0 26.7 16.0 26.7GL28h 8 90 270 30 3.16 1.41 3.94 1.46 43.5 42.6 0 4.82 5.46 16.0 26.7 16.0 26.7GL28h 4 90 315 10 2.65 1.77 3.28 1.86 54.0 53.2 0 22.1 25.4 8.00 13.3 8.00 13.3GL28h 4 90 315 20 3.61 1.90 4.61 1.98 52.9 51.7 0 25.4 28.4 8.00 13.1 8.00 13.3GL28h 4 90 315 30 4.43 1.97 5.65 2.05 52.1 51.0 0 27.4 29.4 8.00 12.6 8.00 13.3GL28h 5 90 315 10 2.65 1.77 3.28 1.86 54.0 53.2 0 14.8 17.1 10.0 16.7 10.0 16.7GL28h 5 90 315 20 3.61 1.90 4.61 1.98 52.9 51.7 0 17.1 19.6 10.0 16.7 10.0 16.7GL28h 5 90 315 30 4.43 1.97 5.65 2.05 52.1 51.0 0 18.6 21.1 10.0 16.7 10.0 16.7GL28h 6 90 315 10 2.65 1.77 3.28 1.86 54.0 53.2 0 10.6 12.2 12.0 20.0 12.0 20.0GL28h 6 90 315 20 3.61 1.90 4.61 1.98 52.9 51.7 0 12.2 14.1 12.0 20.0 12.0 20.0GL28h 6 90 315 30 4.43 1.97 5.65 2.05 52.1 51.0 0 13.3 15.2 12.0 20.0 12.0 20.0GL28h 7 90 315 10 2.65 1.77 3.28 1.86 54.0 53.2 0 7.89 9.13 14.0 23.3 14.0 23.3GL28h 7 90 315 20 3.61 1.90 4.61 1.98 52.9 51.7 0 9.17 10.6 14.0 23.3 14.0 23.3GL28h 7 90 315 30 4.43 1.97 5.65 2.05 52.1 51.0 0 10.0 11.4 14.0 23.3 14.0 23.3GL28h 8 90 315 10 2.65 1.77 3.28 1.86 54.0 53.2 0 6.11 7.08 16.0 26.7 16.0 26.7GL28h 8 90 315 20 3.61 1.90 4.61 1.98 52.9 51.7 0 7.11 8.20 16.0 26.7 16.0 26.7GL28h 8 90 315 30 4.43 1.97 5.65 2.05 52.1 51.0 0 7.76 8.87 16.0 26.7 16.0 26.7GL28h 9 90 315 10 2.65 1.77 3.28 1.86 54.0 53.2 0 4.86 5.64 18.0 30.0 18.0 30.0GL28h 9 90 315 20 3.61 1.90 4.61 1.98 52.9 51.7 0 5.66 6.54 18.0 30.0 18.0 30.0GL28h 9 90 315 30 4.43 1.97 5.65 2.05 52.1 51.0 0 6.19 7.08 18.0 30.0 18.0 30.0GL28h 4 90 360 10 3.42 2.33 4.25 2.46 62.7 62.0 0 31.8 34.8 8.00 12.7 8.00 13.3GL28h 4 90 360 20 4.69 2.51 6.07 2.64 61.7 60.5 0 35.5 37.3 7.79 11.9 8.00 13.3GL28h 4 90 360 30 5.80 2.62 7.55 2.73 60.9 59.6 0 37.1 38.7 7.50 11.5 8.00 13.3GL28h 5 90 360 10 3.42 2.33 4.25 2.46 62.7 62.0 0 21.6 24.9 10.0 16.7 10.0 16.7GL28h 5 90 360 20 4.69 2.51 6.07 2.64 61.7 60.5 0 25.0 28.8 10.0 16.7 10.0 16.7GL28h 5 90 360 30 5.80 2.62 7.55 2.73 60.9 59.6 0 27.2 30.9 10.0 16.6 10.0 16.7GL28h 6 90 360 10 3.42 2.33 4.25 2.46 62.7 62.0 0 15.5 18.0 12.0 20.0 12.0 20.0GL28h 6 90 360 20 4.69 2.51 6.07 2.64 61.7 60.5 0 18.0 20.9 12.0 20.0 12.0 20.0GL28h 6 90 360 30 5.80 2.62 7.55 2.73 60.9 59.6 0 19.7 22.6 12.0 20.0 12.0 20.0GL28h 7 90 360 10 3.42 2.33 4.25 2.46 62.7 62.0 0 11.6 13.5 14.0 23.3 14.0 23.3GL28h 7 90 360 20 4.69 2.51 6.07 2.64 61.7 60.5 0 13.6 15.7 14.0 23.3 14.0 23.3GL28h 7 90 360 30 5.80 2.62 7.55 2.73 60.9 59.6 0 14.9 17.1 14.0 23.3 14.0 23.3


C-6

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-7

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-8

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-9

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³



GL28h 8 115 360 10 4.48 3.00 5.59 3.16 80.1 79.1 0 11.7 13.6 16.0 26.7 16.0 26.7GL28h 8 115 360 20 6.18 3.23 8.01 3.39 78.7 77.1 0 13.7 15.9 16.0 26.7 16.0 26.7GL28h 8 115 360 30 7.66 3.37 9.96 3.51 77.6 75.9 0 15.0 17.2 16.0 26.7 16.0 26.7GL28h 9 115 360 10 4.48 3.00 5.59 3.16 80.1 79.1 0 9.31 10.9 18.0 30.0 18.0 30.0GL28h 9 115 360 20 6.18 3.23 8.01 3.39 78.7 77.1 0 10.9 12.7 18.0 30.0 18.0 30.0GL28h 9 115 360 30 7.66 3.37 9.96 3.51 77.6 75.9 0 12.0 13.8 18.0 30.0 18.0 30.0GL28h 4 115 405 10 5.58 3.81 6.97 4.03 91.2 90.4 0 53.2 56.3 7.61 11.7 8.00 13.3GL28h 4 115 405 20 7.71 4.12 10.1 4.34 90.0 88.4 0 57.6 60.7 7.19 11.0 8.00 13.3GL28h 4 115 405 30 9.61 4.31 12.7 4.51 88.8 87.0 0 60.3 63.1 6.95 10.7 8.00 13.3GL28h 5 115 405 10 5.58 3.81 6.97 4.03 91.2 90.4 0 38.5 44.5 10.0 16.7 10.0 16.7GL28h 5 115 405 20 7.71 4.12 10.1 4.34 90.0 88.4 0 44.6 48.6 10.0 15.7 10.0 16.7GL28h 5 115 405 30 9.61 4.31 12.7 4.51 88.8 87.0 0 48.2 50.5 9.93 15.2 10.0 16.7GL28h 6 115 405 10 5.58 3.81 6.97 4.03 91.2 90.4 0 27.8 32.3 12.0 20.0 12.0 20.0GL28h 6 115 405 20 7.71 4.12 10.1 4.34 90.0 88.4 0 32.5 37.7 12.0 20.0 12.0 20.0GL28h 6 115 405 30 9.61 4.31 12.7 4.51 88.8 87.0 0 35.5 40.8 12.0 20.0 12.0 20.0GL28h 7 115 405 10 5.58 3.81 6.97 4.03 91.2 90.4 0 21.0 24.4 14.0 23.3 14.0 23.3GL28h 7 115 405 20 7.71 4.12 10.1 4.34 90.0 88.4 0 24.6 28.6 14.0 23.3 14.0 23.3GL28h 7 115 405 30 9.61 4.31 12.7 4.51 88.8 87.0 0 27.0 31.1 14.0 23.3 14.0 23.3GL28h 8 115 405 10 5.58 3.81 6.97 4.03 91.2 90.4 0 16.3 19.1 16.0 26.7 16.0 26.7GL28h 8 115 405 20 7.71 4.12 10.1 4.34 90.0 88.4 0 19.2 22.4 16.0 26.7 16.0 26.7GL28h 8 115 405 30 9.61 4.31 12.7 4.51 88.8 87.0 0 21.1 24.4 16.0 26.7 16.0 26.7GL28h 9 115 405 10 5.58 3.81 6.97 4.03 91.2 90.4 0 13.1 15.3 18.0 30.0 18.0 30.0GL28h 9 115 405 20 7.71 4.12 10.1 4.34 90.0 88.4 0 15.4 18.0 18.0 30.0 18.0 30.0GL28h 9 115 405 30 9.61 4.31 12.7 4.51 88.8 87.0 0 17.0 19.6 18.0 30.0 18.0 30.0GL28h 4 115 450 10 6.75 4.71 8.43 4.99 102 102 0 65.1 69.0 7.13 11.0 8.00 13.3GL28h 4 115 450 20 9.33 5.11 12.3 5.41 101 99.7 0 70.7 74.8 6.79 10.5 8.00 13.3GL28h 4 115 450 30 11.7 5.36 15.6 5.63 100 98.2 0 74.2 77.9 6.58 10.2 8.00 13.3GL28h 5 115 450 10 6.75 4.71 8.43 4.99 102 102 0 50.9 55.2 10.0 15.7 10.0 16.7GL28h 5 115 450 20 9.33 5.11 12.3 5.41 101 99.7 0 56.6 59.8 9.62 14.7 10.0 16.7GL28h 5 115 450 30 11.7 5.36 15.6 5.63 100 98.2 0 59.3 62.3 9.25 14.2 10.0 16.7GL28h 6 115 450 10 6.75 4.71 8.43 4.99 102 102 0 37.1 43.0 12.0 20.0 12.0 20.0GL28h 6 115 450 20 9.33 5.11 12.3 5.41 101 99.7 0 43.3 49.8 12.0 19.8 12.0 20.0GL28h 6 115 450 30 11.7 5.36 15.6 5.63 100 98.2 0 47.4 51.9 12.0 19.0 12.0 20.0GL28h 7 115 450 10 6.75 4.71 8.43 4.99 102 102 0 28.1 32.7 14.0 23.3 14.0 23.3GL28h 7 115 450 20 9.33 5.11 12.3 5.41 101 99.7 0 33.0 38.5 14.0 23.3 14.0 23.3GL28h 7 115 450 30 11.7 5.36 15.6 5.63 100 98.2 0 36.2 41.9 14.0 23.3 14.0 23.3GL28h 8 115 450 10 6.75 4.71 8.43 4.99 102 102 0 22.0 25.7 16.0 26.7 16.0 26.7GL28h 8 115 450 20 9.33 5.11 12.3 5.41 101 99.7 0 25.8 30.3 16.0 26.7 16.0 26.7GL28h 8 115 450 30 11.7 5.36 15.6 5.63 100 98.2 0 28.5 33.0 16.0 26.7 16.0 26.7GL28h 9 115 450 10 6.75 4.71 8.43 4.99 102 102 0 17.6 20.6 18.0 30.0 18.0 30.0GL28h 9 115 450 20 9.33 5.11 12.3 5.41 101 99.7 0 20.8 24.4 18.0 30.0 18.0 30.0GL28h 9 115 450 30 11.7 5.36 15.6 5.63 100 98.2 0 22.9 26.7 18.0 30.0 18.0 30.0GL28h 4 115 495 10 8.01 5.69 9.97 6.04 113 113 0 77.9 82.8 6.76 10.5 8.00 13.3GL28h 4 115 495 20 11.0 6.20 14.5 6.57 113 111 0 84.9 90.1 6.49 10.0 8.00 13.3GL28h 4 115 495 30 13.8 6.51 18.6 6.86 111 109 0 89.2 94.0 6.32 9.81 8.00 13.3GL28h 5 115 495 10 8.01 5.69 9.97 6.04 113 113 0 62.3 66.2 9.58 14.7 10.0 16.7GL28h 5 115 495 20 11.0 6.20 14.5 6.57 113 111 0 67.9 72.0 9.06 13.9 10.0 16.7


C-10

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

V.Ed inst

V.Ed fin P.

pre P.Ed

instP.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³



GL28h 5 115 495 30 13.8 6.51 18.6 6.86 111 109 0 71.4 75.2 8.74 13.4 10.0 16.7GL28h 6 115 495 10 8.01 5.69 9.97 6.04 113 113 0 47.9 55.2 12.0 19.9 12.0 20.0GL28h 6 115 495 20 11.0 6.20 14.5 6.57 113 111 0 55.7 60.0 12.0 18.6 12.0 20.0GL28h 6 115 495 30 13.8 6.51 18.6 6.86 111 109 0 59.5 62.7 11.7 17.8 12.0 20.0GL28h 7 115 495 10 8.01 5.69 9.97 6.04 113 113 0 36.5 42.4 14.0 23.3 14.0 23.3GL28h 7 115 495 20 11.0 6.20 14.5 6.57 113 111 0 42.7 49.9 14.0 23.3 14.0 23.3GL28h 7 115 495 30 13.8 6.51 18.6 6.86 111 109 0 47.0 53.7 14.0 23.0 14.0 23.3GL28h 8 115 495 10 8.01 5.69 9.97 6.04 113 113 0 28.6 33.4 16.0 26.7 16.0 26.7GL28h 8 115 495 20 11.0 6.20 14.5 6.57 113 111 0 33.6 39.4 16.0 26.7 16.0 26.7GL28h 8 115 495 30 13.8 6.51 18.6 6.86 111 109 0 37.1 43.1 16.0 26.7 16.0 26.7GL28h 9 115 495 10 8.01 5.69 9.97 6.04 113 113 0 23.0 26.9 18.0 30.0 18.0 30.0GL28h 9 115 495 20 11.0 6.20 14.5 6.57 113 111 0 27.1 31.9 18.0 30.0 18.0 30.0GL28h 9 115 495 30 13.8 6.51 18.6 6.86 111 109 0 30.0 34.9 18.0 30.0 18.0 30.0


C-11

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

GL24h

265

225S235

100

0.9500.624

1.140.644

23.823.2

63.019.2

18.62.75

4.334.00

6.671.00

0.710.02

1.000.63

0.01G

L24h2

65225

S23510

200.950

0.6241.14

0.64423.8

23.279.0

19.318.6

2.424.33

4.006.67

1.000.73

0.011.00

0.630.01

GL24h

265

225S235

200

1.240.655

1.500.675

23.122.5

41.018.3

18.13.00

4.684.00

6.671.00

0.560.01

1.000.48

0.01G

L24h2

65225

S23520

201.24

0.6551.50

0.67523.1

22.551.0

18.418.1

2.874.69

4.006.67

1.000.57

0.011.00

0.480.01

GL24h

265

225S235

300

1.460.678

1.760.698

22.822.5

30.018.2

18.33.05

4.774.00

6.671.00

0.480.01

1.000.42

0.01G

L24h2

65225

S23530

201.46

0.6781.76

0.69822.8

22.537.0

18.318.3

2.994.78

4.006.67

1.000.49

0.011.00

0.410.01

GL24h

2.565

225S235

100

0.9500.624

1.140.644

23.823.2

62.015.3

14.93.81

6.025.00

8.331.00

0.700.02

1.000.62

0.01G

L24h2.5

65225

S23510

200.950

0.6241.14

0.64423.8

23.278.0

15.514.9

3.306.00

5.008.33

1.000.73

0.011.00

0.630.01

GL24h

2.565

225S235

200

1.240.655

1.500.675

23.122.5

40.014.6

14.54.21

6.575.00

8.331.00

0.560.01

1.000.48

0.01G

L24h2.5

65225

S23520

201.24

0.6551.50

0.67523.1

22.550.0

14.714.5

4.026.57

5.008.33

1.000.57

0.011.00

0.480.01

GL24h

2.565

225S235

300

1.460.678

1.760.698

22.822.5

30.014.6

14.64.28

6.685.00

8.331.00

0.480.01

1.000.42

0.01G

L24h2.5

65225

S23530

201.46

0.6781.76

0.69822.8

22.537.0

14.614.6

4.186.68

5.008.33

1.000.49

0.011.00

0.410.01

GL24h

365

225S235

100

0.9500.624

1.140.644

23.823.2

63.012.8

12.45.04

7.986.00

10.01.00

0.710.02

1.000.63

0.01G

L24h3

65225

S23510

200.950

0.6241.14

0.64423.8

23.279.0

12.912.4

4.297.97

6.0010.0

1.000.73

0.011.00

0.630.01

GL24h

365

225S235

200

1.240.655

1.500.675

23.122.5

41.012.2

12.15.66

8.826.00

10.01.00

0.560.01

1.000.48

0.01G

L24h3

65225

S23520

201.24

0.6551.50

0.67523.1

22.551.0

12.312.1

5.378.83

6.0010.0

1.000.57

0.011.00

0.480.01

GL24h

365

225S235

300

1.460.678

1.760.698

22.822.5

30.012.1

12.25.78

9.006.00

10.01.00

0.480.01

1.000.42

0.01G

L24h3

65225

S23530

201.46

0.6781.76

0.69822.8

22.538.0

12.212.2

5.618.99

6.0010.0

1.000.49

0.011.00

0.420.01

GL24h

3.565

225S235

100

0.9500.624

1.140.644

23.823.2

62.010.9

10.66.59

10.47.00

11.71.00

0.700.02

1.000.62

0.01G

L24h3.5

65225

S23510

200.950

0.6241.14

0.64423.8

23.278.0

11.010.6

5.5810.4

7.0011.7

1.000.73

0.011.00

0.630.01

GL24h

3.565

225S235

200

1.240.655

1.500.675

23.122.5

40.010.0

10.47.00

11.67.00

11.70.95

0.530.01

1.000.48

0.01G

L24h3.5

65225

S23520

201.24

0.6551.50

0.67523.1

22.550.0

10.510.4

7.0011.6

7.0011.7

1.000.57

0.011.00

0.480.01

GL24h

3.565

225S235

300

1.460.678

1.760.698

22.822.5

33.09.85

10.47.00

11.67.00

11.70.94

0.460.01

1.000.42

0.01G

L24h3.5

65225

S23530

201.46

0.6781.76

0.69822.8

22.541.0

10.210.4

7.0011.7

7.0011.7

0.970.48

0.011.00

0.420.01

GL24h

465

225S235

100

0.9500.624

1.140.644

23.823.2

62.09.36

9.318.00

13.28.00

13.30.97

0.680.02

1.000.62

0.01G

L24h4

65225

S23510

200.950

0.6241.14

0.64423.8

23.278.0

9.669.31

7.0113.2

8.0013.3

1.000.73

0.011.00

0.630.01

GL24h

465

225S235

200

1.240.655

1.500.675

23.122.5

58.08.86

8.978.00

13.38.00

13.30.96

0.560.01

1.000.51

0.01G

L24h4

65225

S23520

201.24

0.6551.50

0.67523.1

22.573.0

9.148.97

7.4813.3

8.0013.3

1.000.62

0.011.00

0.520.01

GL24h

465

225S235

300

1.460.678

1.760.698

22.822.5

56.08.70

8.928.00

13.38.00

13.30.95

0.500.01

1.000.46

0.01G

L24h4

65225

S23530

201.46

0.6781.76

0.69822.8

22.570.0

8.948.92

7.6713.3

8.0013.3

1.000.56

0.011.00

0.460.01

Stress checks =< 1



C-12

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

4.565

225S235

100

0.9500.624

1.140.644

23.823.2

72.08.44

8.269.00

14.99.00

15.00.98

0.710.01

1.000.64

0.01G

L24h4.5

65225

S23510

200.950

0.6241.14

0.64423.8

23.290.0

8.568.26

7.2014.9

9.0015.0

1.000.75

0.011.00

0.640.01

GL24h

4.565

225S235

200

1.240.655

1.500.675

23.122.5

71.07.92

7.819.00

15.09.00

15.00.97

0.600.01

1.000.55

0.01G

L24h4.5

65225

S23520

201.24

0.6551.50

0.67523.1

22.589.0

7.927.81

7.6715.0

9.0015.0

1.000.66

0.011.00

0.550.01

GL24h

4.565

225S235

300

1.460.678

1.760.698

22.822.5

71.07.69

7.669.00

15.09.00

15.00.97

0.540.01

1.000.50

0.01G

L24h4.5

65225

S23530

201.46

0.6781.76

0.69822.8

22.588.0

7.607.66

7.9215.0

9.0015.0

1.000.61

0.011.00

0.500.01

GL24h

565

225S235

100

0.9500.624

1.140.644

23.823.2

80.07.68

7.3810.0

16.510.0

16.70.99

0.730.01

1.000.66

0.01G

L24h5

65225

S23510

200.950

0.6241.14

0.64423.8

23.299.0

7.657.39

7.2416.7

10.016.7

1.000.78

0.011.00

0.660.01

GL24h

565

225S235

200

1.240.655

1.500.675

23.122.5

81.07.13

6.8710.0

16.610.0

16.70.98

0.630.01

1.000.58

0.01G

L24h5

65225

S23520

201.24

0.6551.50

0.67523.1

22.5101

6.916.87

7.6416.6

10.016.7

1.000.70

0.011.00

0.580.01

GL24h

565

225S235

300

1.460.678

1.760.698

22.822.5

81.06.81

6.6610.0

16.710.0

16.70.98

0.580.01

1.000.54

0.01G

L24h5

65225

S23530

201.46

0.6781.76

0.69822.8

22.5101

6.526.66

7.9716.7

10.016.7

1.000.66

0.011.00

0.530.01

GL24h

5.565

225S235

100

0.9500.624

1.140.644

23.823.2

86.07.01

6.6611.0

18.211.0

18.31.00

0.750.01

1.000.68

0.01G

L24h5.5

65225

S23510

200.950

0.6241.14

0.64423.8

23.2107

6.876.66

6.9318.3

11.018.3

1.000.80

0.011.00

0.680.01

GL24h

5.565

225S235

200

1.240.655

1.500.675

23.122.5

88.06.44

6.1111.0

18.311.0

18.30.99

0.650.01

1.000.60

0.01G

L24h5.5

65225

S23520

201.24

0.6551.50

0.67523.1

22.5110

6.106.11

7.4618.3

11.018.3

1.000.73

0.011.00

0.600.01

GL24h

5.565

225S235

300

1.460.678

1.760.698

22.822.5

89.06.10

5.8611.0

18.311.0

18.30.98

0.610.01

1.000.56

0.01G

L24h5.5

65225

S23530

201.46

0.6781.76

0.69822.8

22.5111

5.655.86

7.8418.3

11.018.3

1.000.70

0.011.00

0.560.01

GL24h

265

270S235

100

1.390.924

1.700.962

29.528.9

89.029.7

28.72.42

3.854.00

6.671.00

0.730.02

1.000.65

0.01G

L24h2

65270

S23510

201.39

0.9241.70

0.96229.5

28.9111

30.028.7

2.063.85

4.006.67

1.000.76

0.021.00

0.650.01

GL24h

265

270S235

200

1.870.980

2.331.02

28.728.0

59.028.0

27.62.73

4.274.00

6.671.00

0.570.01

1.000.48

0.01G

L24h2

65270

S23520

201.87

0.9802.33

1.0228.7

28.074.0

28.327.6

2.584.27

4.006.67

1.000.59

0.011.00

0.480.01

GL24h

265

270S235

300

2.251.02

2.811.05

28.327.7

44.027.6

27.52.80

4.384.00

6.671.00

0.480.01

1.000.40

0.01G

L24h2

65270

S23530

202.25

1.022.81

1.0528.3

27.755.0

27.827.5

2.724.38

4.006.67

1.000.49

0.011.00

0.400.01

GL24h

2.565

270S235

100

1.390.924

1.700.962

29.528.9

89.023.8

23.03.12

4.995.00

8.331.00

0.730.02

1.000.65

0.01G

L24h2.5

65270

S23510

201.39

0.9241.70

0.96229.5

28.9111

24.023.0

2.565.00

5.008.33

1.000.76

0.021.00

0.650.01

GL24h

2.565

270S235

200

1.870.980

2.331.02

28.728.0

59.022.4

22.13.64

5.705.00

8.331.00

0.570.01

1.000.48

0.01G

L24h2.5

65270

S23520

201.87

0.9802.33

1.0228.7

28.073.0

22.622.1

3.425.71

5.008.33

1.000.59

0.011.00

0.480.01

GL24h

2.565

270S235

300

2.251.02

2.811.05

28.327.7

44.022.1

22.03.76

5.875.00

8.331.00

0.480.01

1.000.40

0.01G

L24h2.5

65270

S23530

202.25

1.022.81

1.0528.3

27.755.0

22.222.0

3.635.87

5.008.33

1.000.49

0.011.00

0.400.01


C-13

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

365

270S235

100

1.390.924

1.700.962

29.528.9

88.019.8

19.14.01

6.446.00

10.01.00

0.730.02

1.000.65

0.01G

L24h3

65270

S23510

201.39

0.9241.70

0.96229.5

28.9110

20.019.1

3.206.44

6.0010.0

1.000.76

0.021.00

0.650.01

GL24h

365

270S235

200

1.870.980

2.331.02

28.728.0

59.018.7

18.44.75

7.446.00

10.01.00

0.570.01

1.000.48

0.01G

L24h3

65270

S23520

201.87

0.9802.33

1.0228.7

28.074.0

18.918.4

4.407.43

6.0010.0

1.000.59

0.011.00

0.480.01

GL24h

365

270S235

300

2.251.02

2.811.05

28.327.7

44.018.4

18.34.93

7.696.00

10.01.00

0.480.01

1.000.40

0.01G

L24h3

65270

S23530

202.25

1.022.81

1.0528.3

27.755.0

18.518.3

4.757.69

6.0010.0

1.000.49

0.011.00

0.400.01

GL24h

3.565

270S235

100

1.390.924

1.700.962

29.528.9

89.017.0

16.44.99

8.057.00

11.71.00

0.730.02

1.000.65

0.01G

L24h3.5

65270

S23510

201.39

0.9241.70

0.96229.5

28.9111

17.116.4

3.878.06

7.0011.7

1.000.76

0.021.00

0.650.01

GL24h

3.565

270S235

200

1.870.980

2.331.02

28.728.0

59.016.0

15.86.07

9.497.00

11.71.00

0.570.01

1.000.48

0.01G

L24h3.5

65270

S23520

201.87

0.9802.33

1.0228.7

28.073.0

16.215.8

5.629.52

7.0011.7

1.000.59

0.011.00

0.480.01

GL24h

3.565

270S235

300

2.251.02

2.811.05

28.327.7

44.015.8

15.76.31

9.837.00

11.71.00

0.480.01

1.000.40

0.01G

L24h3.5

65270

S23530

202.25

1.022.81

1.0528.3

27.755.0

15.915.7

6.069.83

7.0011.7

1.000.49

0.011.00

0.400.01

GL24h

465

270S235

100

1.390.924

1.700.962

29.528.9

88.014.8

14.36.22

10.08.00

13.31.00

0.730.02

1.000.65

0.01G

L24h4

65270

S23510

201.39

0.9241.70

0.96229.5

28.9110

15.014.3

4.7710.0

8.0013.3

1.000.76

0.021.00

0.650.01

GL24h

465

270S235

200

1.870.980

2.331.02

28.728.0

58.014.0

13.87.62

11.98.00

13.31.00

0.560.01

1.000.48

0.01G

L24h4

65270

S23520

201.87

0.9802.33

1.0228.7

28.073.0

14.113.8

7.0011.9

8.0013.3

1.000.59

0.011.00

0.480.01

GL24h

465

270S235

300

2.251.02

2.811.05

28.327.7

44.013.8

13.87.91

12.38.00

13.31.00

0.480.01

1.000.40

0.01G

L24h4

65270

S23530

202.25

1.022.81

1.0528.3

27.754.0

13.913.8

7.6212.3

8.0013.3

1.000.49

0.011.00

0.400.01

GL24h

4.565

270S235

100

1.390.924

1.700.962

29.528.9

88.013.2

12.87.56

12.29.00

15.01.00

0.730.02

1.000.65

0.01G

L24h4.5

65270

S23510

201.39

0.9241.70

0.96229.5

28.9110

13.312.8

5.7212.2

9.0015.0

1.000.76

0.021.00

0.650.01

GL24h

4.565

270S235

200

1.870.980

2.331.02

28.728.0

59.012.2

12.39.00

14.59.00

15.00.97

0.550.01

1.000.48

0.01G

L24h4.5

65270

S23520

201.87

0.9802.33

1.0228.7

28.073.0

12.612.3

8.5714.6

9.0015.0

1.000.59

0.011.00

0.480.01

GL24h

4.565

270S235

300

2.251.02

2.811.05

28.327.7

47.011.6

12.29.00

15.09.00

15.00.94

0.450.01

1.000.41

0.01G

L24h4.5

65270

S23530

202.25

1.022.81

1.0528.3

27.758.0

12.212.2

9.0015.0

9.0015.0

0.980.49

0.011.00

0.410.01

GL24h

565

270S235

100

1.390.924

1.700.962

29.528.9

88.011.9

11.59.06

14.710.0

16.71.00

0.730.02

1.000.65

0.01G

L24h5

65270

S23510

201.39

0.9241.70

0.96229.5

28.9110

12.011.5

6.7814.7

10.016.7

1.000.76

0.021.00

0.650.01

GL24h

565

270S235

200

1.870.980

2.331.02

28.728.0

69.010.9

11.010.0

16.710.0

16.70.96

0.560.01

1.000.50

0.01G

L24h5

65270

S23520

201.87

0.9802.33

1.0228.7

28.087.0

11.311.0

9.2716.6

10.016.7

1.000.61

0.011.00

0.500.01

GL24h

565

270S235

300

2.251.02

2.811.05

28.327.7

67.010.7

10.910.0

16.610.0

16.70.96

0.490.01

1.000.44

0.01G

L24h5

65270

S23530

202.25

1.022.81

1.0528.3

27.783.0

11.010.9

9.5716.7

10.016.7

1.000.54

0.011.00

0.440.01


C-14

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

5.565

270S235

100

1.390.924

1.700.962

29.528.9

89.010.8

10.410.6

17.211.0

18.31.00

0.730.02

1.000.65

0.01G

L24h5.5

65270

S23510

201.39

0.9241.70

0.96229.5

28.9111

10.910.4

7.8217.2

11.018.3

1.000.76

0.021.00

0.650.01

GL24h

5.565

270S235

200

1.870.980

2.331.02

28.728.0

82.010.0

9.9211.0

18.211.0

18.30.97

0.590.01

1.000.53

0.01G

L24h5.5

65270

S23520

201.87

0.9802.33

1.0228.7

28.0102

10.29.92

9.4618.3

11.018.3

1.000.65

0.011.00

0.530.01

GL24h

5.565

270S235

300

2.251.02

2.811.05

28.327.7

81.09.73

9.6911.0

18.311.0

18.30.97

0.520.01

1.000.47

0.01G

L24h5.5

65270

S23530

202.25

1.022.81

1.0528.3

27.7101

9.779.69

9.7418.3

11.018.3

1.000.59

0.011.00

0.470.01

GL24h

665

270S235

100

1.390.924

1.700.962

29.528.9

90.09.82

9.5612.0

19.912.0

20.00.99

0.720.02

1.000.65

0.01G

L24h6

65270

S23510

201.39

0.9241.70

0.96229.5

28.9112

10.09.56

8.9220.0

12.020.0

1.000.77

0.011.00

0.650.01

GL24h

665

270S235

200

1.870.980

2.331.02

28.728.0

91.09.24

8.9912.0

20.012.0

20.00.98

0.610.01

1.000.55

0.01G

L24h6

65270

S23520

201.87

0.9802.33

1.0228.7

28.0114

9.218.99

9.4519.9

12.020.0

1.000.68

0.011.00

0.550.01

GL24h

665

270S235

300

2.251.02

2.811.05

28.327.7

91.08.87

8.7012.0

20.012.0

20.00.97

0.550.01

1.000.50

0.01G

L24h6

65270

S23530

202.25

1.022.81

1.0528.3

27.7114

8.728.70

9.8320.0

12.020.0

1.000.63

0.011.00

0.500.01

GL24h

265

315S235

100

1.891.28

2.341.34

35.134.6

11742.8

41.12.29

3.664.00

6.671.00

0.750.02

1.000.68

0.01G

L24h2

65315

S23510

201.89

1.282.34

1.3435.1

34.6147

43.241.1

1.893.65

4.006.67

1.000.80

0.011.00

0.680.01

GL24h

265

315S235

200

2.571.37

3.281.43

34.433.7

80.040.0

39.12.61

4.104.00

6.671.00

0.580.01

1.000.50

0.01G

L24h2

65315

S23520

202.57

1.373.28

1.4334.4

33.7100

40.439.1

2.454.10

4.006.67

1.000.62

0.011.00

0.500.01

GL24h

265

315S235

300

3.151.42

4.021.48

33.933.2

60.039.0

38.72.70

4.234.00

6.671.00

0.490.01

1.000.41

0.01G

L24h2

65315

S23530

203.15

1.424.02

1.4833.9

33.275.0

39.338.7

2.614.23

4.006.67

1.000.51

0.011.00

0.410.01

GL24h

2.565

315S235

100

1.891.28

2.341.34

35.134.6

11734.2

32.92.77

4.465.00

8.331.00

0.750.02

1.000.68

0.01G

L24h2.5

65315

S23510

201.89

1.282.34

1.3435.1

34.6147

34.632.9

2.134.44

5.008.33

1.000.80

0.011.00

0.680.01

GL24h

2.565

315S235

200

2.571.37

3.281.43

34.433.7

80.032.0

31.33.32

5.225.00

8.331.00

0.580.01

1.000.50

0.01G

L24h2.5

65315

S23520

202.57

1.373.28

1.4334.4

33.799.0

32.331.3

3.075.23

5.008.33

1.000.61

0.011.00

0.500.01

GL24h

2.565

315S235

300

3.151.42

4.021.48

33.933.2

61.031.2

30.93.46

5.425.00

8.331.00

0.490.01

1.000.41

0.01G

L24h2.5

65315

S23530

203.15

1.424.02

1.4833.9

33.276.0

31.530.9

3.325.42

5.008.33

1.000.51

0.011.00

0.410.01

GL24h

365

315S235

100

1.891.28

2.341.34

35.134.6

11828.5

27.43.32

5.406.00

10.01.00

0.760.02

1.000.68

0.01G

L24h3

65315

S23510

201.89

1.282.34

1.3435.1

34.6146

28.827.4

2.465.45

6.0010.0

1.000.80

0.011.00

0.680.01

GL24h

365

315S235

200

2.571.37

3.281.43

34.433.7

80.026.6

26.14.18

6.586.00

10.01.00

0.580.01

1.000.50

0.01G

L24h3

65315

S23520

202.57

1.373.28

1.4334.4

33.799.0

26.926.1

3.826.60

6.0010.0

1.000.61

0.011.00

0.500.01

GL24h

365

315S235

300

3.151.42

4.021.48

33.933.2

60.026.0

25.84.41

6.906.00

10.01.00

0.490.01

1.000.41

0.01G

L24h3

65315

S23530

203.15

1.424.02

1.4833.9

33.275.0

26.225.8

4.216.90

6.0010.0

1.000.51

0.011.00

0.410.01


C-15

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

3.565

315S235

100

1.891.28

2.341.34

35.134.6

11824.5

23.53.99

6.557.00

11.71.00

0.760.02

1.000.68

0.01G

L24h3.5

65315

S23510

201.89

1.282.34

1.3435.1

34.6147

24.723.5

2.786.57

7.0011.7

1.000.80

0.011.00

0.680.01

GL24h

3.565

315S235

200

2.571.37

3.281.43

34.433.7

80.022.8

22.35.20

8.197.00

11.71.00

0.580.01

1.000.50

0.01G

L24h3.5

65315

S23520

202.57

1.373.28

1.4334.4

33.7100

23.122.3

4.678.19

7.0011.7

1.000.62

0.011.00

0.500.01

GL24h

3.565

315S235

300

3.151.42

4.021.48

33.933.2

60.022.3

22.15.53

8.637.00

11.71.00

0.490.01

1.000.41

0.01G

L24h3.5

65315

S23530

203.15

1.424.02

1.4833.9

33.275.0

22.522.1

5.248.63

7.0011.7

1.000.51

0.011.00

0.410.01

GL24h

465

315S235

100

1.891.28

2.341.34

35.134.6

11721.4

20.54.82

7.948.00

13.31.00

0.750.02

1.000.68

0.01G

L24h4

65315

S23510

201.89

1.282.34

1.3435.1

34.6146

21.620.5

3.247.95

8.0013.3

1.000.80

0.011.00

0.680.01

GL24h

465

315S235

200

2.571.37

3.281.43

34.433.7

79.020.0

19.56.41

10.18.00

13.31.00

0.580.01

1.000.50

0.01G

L24h4

65315

S23520

202.57

1.373.28

1.4334.4

33.799.0

20.219.5

5.7210.1

8.0013.3

1.000.61

0.011.00

0.500.01

GL24h

465

315S235

300

3.151.42

4.021.48

33.933.2

60.019.5

19.36.81

10.68.00

13.31.00

0.490.01

1.000.41

0.01G

L24h4

65315

S23530

203.15

1.424.02

1.4833.9

33.275.0

19.719.3

6.4410.6

8.0013.3

1.000.51

0.011.00

0.410.01

GL24h

4.565

315S235

100

1.891.28

2.341.34

35.134.6

11719.0

18.35.71

9.459.00

15.01.00

0.750.02

1.000.68

0.01G

L24h4.5

65315

S23510

201.89

1.282.34

1.3435.1

34.6146

19.218.3

3.719.47

9.0015.0

1.000.80

0.011.00

0.680.01

GL24h

4.565

315S235

200

2.571.37

3.281.43

34.433.7

80.017.8

17.47.71

12.19.00

15.01.00

0.580.01

1.000.50

0.01G

L24h4.5

65315

S23520

202.57

1.373.28

1.4334.4

33.799.0

17.917.4

6.8812.2

9.0015.0

1.000.61

0.011.00

0.500.01

GL24h

4.565

315S235

300

3.151.42

4.021.48

33.933.2

59.017.3

17.28.30

12.99.00

15.01.00

0.490.01

1.000.41

0.01G

L24h4.5

65315

S23530

203.15

1.424.02

1.4833.9

33.274.0

17.517.2

7.8312.9

9.0015.0

1.000.50

0.011.00

0.410.01

GL24h

565

315S235

100

1.891.28

2.341.34

35.134.6

11717.1

16.46.71

11.110.0

16.71.00

0.750.02

1.000.68

0.01G

L24h5

65315

S23510

201.89

1.282.34

1.3435.1

34.6147

17.316.4

4.1411.1

10.016.7

1.000.80

0.011.00

0.680.01

GL24h

565

315S235

200

2.571.37

3.281.43

34.433.7

80.016.0

15.69.20

14.510.0

16.71.00

0.580.01

1.000.50

0.01G

L24h5

65315

S23520

202.57

1.373.28

1.4334.4

33.799.0

16.115.6

8.1714.6

10.016.7

1.000.61

0.011.00

0.500.01

GL24h

565

315S235

300

3.151.42

4.021.48

33.933.2

61.015.6

15.59.87

15.410.0

16.71.00

0.490.01

1.000.41

0.01G

L24h5

65315

S23530

203.15

1.424.02

1.4833.9

33.276.0

15.715.5

9.2715.4

10.016.7

1.000.51

0.011.00

0.410.01

GL24h

5.565

315S235

100

1.891.28

2.341.34

35.134.6

11615.5

14.97.91

13.211.0

18.31.00

0.750.02

1.000.68

0.01G

L24h5.5

65315

S23510

201.89

1.282.34

1.3435.1

34.6145

15.714.9

4.9213.2

11.018.3

1.000.80

0.021.00

0.680.01

GL24h

5.565

315S235

200

2.571.37

3.281.43

34.433.7

80.014.5

14.210.9

17.111.0

18.31.00

0.580.01

1.000.50

0.01G

L24h5.5

65315

S23520

202.57

1.373.28

1.4334.4

33.7100

14.714.2

9.5317.1

11.018.3

1.000.62

0.011.00

0.500.01

GL24h

5.565

315S235

300

3.151.42

4.021.48

33.933.2

59.013.5

14.111.0

18.311.0

18.30.94

0.460.01

1.000.41

0.01G

L24h5.5

65315

S23530

203.15

1.424.02

1.4833.9

33.274.0

14.314.1

11.018.3

11.018.3

1.000.50

0.011.00

0.410.01


C-16

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

665

315S235

100

1.891.28

2.341.34

35.134.6

11714.3

13.79.03

15.112.0

20.01.00

0.750.02

1.000.68

0.01G

L24h6

65315

S23510

201.89

1.282.34

1.3435.1

34.6146

14.413.7

5.4515.1

12.020.0

1.000.80

0.011.00

0.680.01

GL24h

665

315S235

200

2.571.37

3.281.43

34.433.7

80.012.9

13.012.0

19.912.0

20.00.96

0.560.01

1.000.50

0.01G

L24h6

65315

S23520

202.57

1.373.28

1.4334.4

33.7100

13.513.0

11.119.9

12.020.0

1.000.62

0.011.00

0.500.01

GL24h

665

315S235

300

3.151.42

4.021.48

33.933.2

77.012.6

12.812.0

19.912.0

20.00.96

0.490.01

1.000.43

0.01G

L24h6

65315

S23530

203.15

1.424.02

1.4833.9

33.296.0

13.112.8

11.420.0

12.020.0

1.000.54

0.011.00

0.430.01

GL24h

6.565

315S235

100

1.891.28

2.341.34

35.134.6

11613.2

12.610.5

17.513.0

21.71.00

0.750.02

1.000.68

0.01G

L24h6.5

65315

S23510

201.89

1.282.34

1.3435.1

34.6145

13.312.6

6.3017.5

13.021.7

1.000.80

0.021.00

0.680.01

GL24h

6.565

315S235

200

2.571.37

3.281.43

34.433.7

92.012.1

12.013.0

21.613.0

21.70.97

0.590.01

1.000.52

0.01G

L24h6.5

65315

S23520

202.57

1.373.28

1.4334.4

33.7114

12.412.0

11.321.7

13.021.7

1.000.64

0.011.00

0.520.01

GL24h

6.565

315S235

300

3.151.42

4.021.48

33.933.2

90.011.7

11.713.0

21.613.0

21.70.96

0.510.01

1.000.46

0.01G

L24h6.5

65315

S23530

203.15

1.424.02

1.4833.9

33.2113

12.011.7

11.621.6

13.021.7

1.000.58

0.011.00

0.460.01

GL24h

765

315S235

100

1.891.28

2.341.34

35.134.6

11712.2

11.711.8

19.714.0

23.31.00

0.750.02

1.000.68

0.01G

L24h7

65315

S23510

201.89

1.282.34

1.3435.1

34.6146

12.311.7

6.8919.8

14.023.3

1.000.80

0.011.00

0.680.01

GL24h

765

315S235

200

2.571.37

3.281.43

34.433.7

10111.3

11.114.0

23.314.0

23.30.98

0.610.01

1.000.54

0.01G

L24h7

65315

S23520

202.57

1.373.28

1.4334.4

33.7126

11.511.1

11.323.3

14.023.3

1.000.66

0.011.00

0.540.01

GL24h

765

315S235

300

3.151.42

4.021.48

33.933.2

10110.9

10.714.0

23.314.0

23.30.97

0.540.01

1.000.48

0.01G

L24h7

65315

S23530

203.15

1.424.02

1.4833.9

33.2126

10.910.7

11.723.3

14.023.3

1.000.61

0.011.00

0.480.01

GL28h

490

225S235

100

1.330.866

1.600.894

36.635.7

10714.9

14.88.00

13.38.00

13.30.97

0.690.02

1.000.64

0.01G

L28h4

90225

S23510

201.33

0.8661.60

0.89436.6

35.7134

15.214.8

6.7113.3

8.0013.3

1.000.75

0.021.00

0.640.01

GL28h

490

225S235

200

1.730.909

2.100.936

35.534.6

10514.1

14.18.00

13.38.00

13.30.96

0.580.01

1.000.54

0.01G

L28h4

90225

S23520

201.73

0.9092.10

0.93635.5

34.6132

14.214.1

7.0313.3

8.0013.3

1.000.65

0.011.00

0.540.01

GL28h

490

225S235

300

2.050.940

2.470.969

35.134.5

10413.8

13.98.00

13.38.00

13.30.96

0.530.01

1.000.49

0.01G

L28h4

90225

S23530

202.05

0.9402.47

0.96935.1

34.5130

13.713.9

7.2013.3

8.0013.3

1.000.60

0.011.00

0.490.01

GL28h

590

225S235

100

1.330.866

1.600.894

36.635.7

13212.1

11.610.0

16.610.0

16.70.99

0.740.02

1.000.68

0.01G

L28h5

90225

S23510

201.33

0.8661.60

0.89436.6

35.7165

11.811.6

6.4516.6

10.016.7

1.000.79

0.011.00

0.680.01

GL28h

590

225S235

200

1.730.909

2.100.936

35.534.6

13411.1

10.710.0

16.710.0

16.70.98

0.640.01

1.000.59

0.01G

L28h5

90225

S23520

201.73

0.9092.10

0.93635.5

34.6168

10.510.7

6.9916.7

10.016.7

1.000.73

0.011.00

0.600.01

GL28h

590

225S235

300

2.050.940

2.470.969

35.134.5

13610.6

10.310.0

16.610.0

16.70.98

0.600.01

1.000.56

0.01G

L28h5

90225

S23530

202.05

0.9402.47

0.96935.1

34.5170

9.7710.3

7.2216.6

10.016.7

1.000.69

0.011.00

0.560.01


C-17

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

690

225S235

100

1.330.866

1.600.894

36.635.7

14710.0

9.4511.9

20.012.0

20.01.00

0.770.01

1.000.70

0.01G

L28h6

90225

S23510

201.33

0.8661.60

0.89436.6

35.7184

9.559.44

5.4320.0

12.020.0

1.000.83

0.011.00

0.700.01

GL28h

690

225S235

200

1.730.909

2.100.936

35.534.6

1529.11

8.4712.0

20.012.0

20.01.00

0.690.01

1.000.64

0.01G

L28h6

90225

S23520

201.73

0.9092.10

0.93635.5

34.6190

8.198.47

6.1820.0

12.020.0

1.000.78

0.011.00

0.640.01

GL28h

690

225S235

300

2.050.940

2.470.969

35.134.5

1558.53

8.0012.0

20.012.0

20.01.00

0.650.01

1.000.61

0.01G

L28h6

90225

S23530

202.05

0.9402.47

0.96935.1

34.5193

7.377.99

6.6320.0

12.020.0

1.000.76

0.011.00

0.610.01

GL28h

790

225S235

100

1.330.866

1.600.894

36.635.7

1588.52

7.9413.4

23.214.0

23.31.00

0.780.01

1.000.73

0.01G

L28h7

90225

S23510

201.33

0.8661.60

0.89436.6

35.7197

7.977.95

3.6323.3

14.023.3

1.000.86

0.011.00

0.720.01

GL28h

790

225S235

200

1.730.909

2.100.936

35.534.6

1647.60

6.9713.7

23.314.0

23.31.00

0.720.01

1.000.67

0.01G

L28h7

90225

S23520

201.73

0.9092.10

0.93635.5

34.6205

6.616.97

4.6123.3

14.023.3

1.000.83

0.011.00

0.670.01

GL28h

790

225S235

300

2.050.940

2.470.969

35.134.5

1687.03

6.4713.8

23.314.0

23.31.00

0.690.01

1.000.65

0.01G

L28h7

90225

S23530

202.05

0.9402.47

0.96935.1

34.5206

5.896.43

5.9223.3

14.023.3

1.000.80

0.010.98

0.630.01

GL28h

490

270S235

100

1.951.28

2.391.34

45.344.4

12623.4

22.77.13

11.48.00

13.31.00

0.710.02

1.000.63

0.02G

L28h4

90270

S23510

201.95

1.282.39

1.3445.3

44.4158

23.622.7

5.7411.4

8.0013.3

1.000.75

0.021.00

0.630.02

GL28h

490

270S235

200

2.621.36

3.271.41

44.143.1

84.021.6

22.18.00

13.08.00

13.30.97

0.540.01

1.000.47

0.01G

L28h4

90270

S23520

202.62

1.363.27

1.4144.1

43.1105

22.522.1

7.7713.0

8.0013.3

1.000.57

0.011.00

0.470.01

GL28h

490

270S235

300

3.161.41

3.941.46

43.542.6

64.020.8

22.18.00

13.38.00

13.30.94

0.440.01

1.000.40

0.01G

L28h4

90270

S23530

203.16

1.413.94

1.4643.5

42.679.0

21.622.1

8.0013.3

8.0013.3

0.970.47

0.011.00

0.400.01

GL28h

590

270S235

100

1.951.28

2.391.34

45.344.4

12718.3

18.210.0

16.610.0

16.70.98

0.700.02

1.000.63

0.02G

L28h5

90270

S23510

201.95

1.282.39

1.3445.3

44.4159

18.918.2

8.2016.6

10.016.7

1.000.75

0.021.00

0.630.02

GL28h

590

270S235

200

2.621.36

3.271.41

44.143.1

12517.4

17.410.0

16.610.0

16.70.97

0.580.01

1.000.52

0.01G

L28h5

90270

S23520

202.62

1.363.27

1.4144.1

43.1156

17.717.4

8.7416.7

10.016.7

1.000.64

0.011.00

0.520.01

GL28h

590

270S235

300

3.161.41

3.941.46

43.542.6

12317.0

17.010.0

16.710.0

16.70.96

0.520.01

1.000.47

0.01G

L28h5

90270

S23530

203.16

1.413.94

1.4643.5

42.6154

17.117.0

8.9616.7

10.016.7

1.000.58

0.011.00

0.470.01

GL28h

690

270S235

100

1.951.28

2.391.34

45.344.4

15015.6

15.112.0

20.012.0

20.00.99

0.730.02

1.000.66

0.01G

L28h6

90270

S23510

201.95

1.282.39

1.3445.3

44.4188

15.615.1

7.9919.9

12.020.0

1.000.78

0.021.00

0.660.01

GL28h

690

270S235

200

2.621.36

3.271.41

44.143.1

15314.6

14.012.0

20.012.0

20.00.98

0.630.01

1.000.57

0.01G

L28h6

90270

S23520

202.62

1.363.27

1.4144.1

43.1191

14.214.0

8.7320.0

12.020.0

1.000.70

0.011.00

0.570.01

GL28h

690

270S235

300

3.161.41

3.941.46

43.542.6

15413.9

13.512.0

20.012.0

20.00.98

0.570.01

1.000.53

0.01G

L28h6

90270

S23530

203.16

1.413.94

1.4643.5

42.6193

13.313.5

9.0420.0

12.020.0

1.000.66

0.011.00

0.530.01


C-18

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

790

270S235

100

1.951.28

2.391.34

45.344.4

16613.5

12.813.9

23.314.0

23.31.00

0.760.02

1.000.69

0.01G

L28h7

90270

S23510

201.95

1.282.39

1.3445.3

44.4207

13.212.8

7.2223.3

14.023.3

1.000.81

0.011.00

0.680.01

GL28h

790

270S235

200

2.621.36

3.271.41

44.143.1

17212.5

11.714.0

23.314.0

23.31.00

0.670.01

1.000.61

0.01G

L28h7

90270

S23520

202.62

1.363.27

1.4144.1

43.1215

11.711.7

7.9623.3

14.023.3

1.000.75

0.011.00

0.610.01

GL28h

790

270S235

300

3.161.41

3.941.46

43.542.6

17411.7

11.014.0

23.314.0

23.30.99

0.620.01

1.000.57

0.01G

L28h7

90270

S23530

203.16

1.413.94

1.4643.5

42.6218

10.711.1

8.5523.3

14.023.3

1.000.72

0.011.00

0.570.01

GL28h

890

270S235

100

1.951.28

2.391.34

45.344.4

17711.8

11.115.5

26.716.0

26.71.00

0.770.02

1.000.70

0.01G

L28h8

90270

S23510

201.95

1.282.39

1.3445.3

44.4222

11.411.1

5.5626.5

16.026.7

1.000.83

0.011.00

0.700.01

GL28h

890

270S235

200

2.621.36

3.271.41

44.143.1

18510.7

9.9515.7

26.716.0

26.71.00

0.690.01

1.000.63

0.01G

L28h8

90270

S23520

202.62

1.363.27

1.4144.1

43.1231

9.839.95

6.7826.7

16.026.7

1.000.79

0.011.00

0.630.01

GL28h

890

270S235

300

3.161.41

3.941.46

43.542.6

18910.0

9.2915.9

26.716.0

26.71.00

0.650.01

1.000.61

0.01G

L28h8

90270

S23530

203.16

1.413.94

1.4643.5

42.6236

8.799.29

7.4326.7

16.026.7

1.000.77

0.011.00

0.600.01

GL28h

490

315S235

100

2.651.77

3.281.86

54.053.2

16733.5

32.45.68

9.228.00

13.31.00

0.740.02

1.000.66

0.02G

L28h4

90315

S23510

202.65

1.773.28

1.8654.0

53.2209

33.832.4

4.189.21

8.0013.3

1.000.78

0.021.00

0.660.02

GL28h

490

315S235

200

3.611.90

4.611.98

52.951.7

11331.7

31.27.09

11.18.00

13.31.00

0.570.02

1.000.49

0.01G

L28h4

90315

S23520

203.61

1.904.61

1.9852.9

51.7141

32.031.2

6.4611.1

8.0013.3

1.000.60

0.021.00

0.490.01

GL28h

490

315S235

300

4.431.97

5.652.05

52.151.0

86.031.1

31.07.42

11.58.00

13.31.00

0.480.01

1.000.40

0.01G

L28h4

90315

S23530

204.43

1.975.65

2.0552.1

51.0107

31.331.0

7.0811.6

8.0013.3

1.000.49

0.011.00

0.400.01

GL28h

590

315S235

100

2.651.77

3.281.86

54.053.2

16626.8

25.98.08

13.210.0

16.71.00

0.740.02

1.000.66

0.02G

L28h5

90315

S23510

202.65

1.773.28

1.8654.0

53.2208

27.125.9

5.7313.1

10.016.7

1.000.78

0.021.00

0.660.02

GL28h

590

315S235

200

3.611.90

4.611.98

52.951.7

11324.9

25.010.0

16.110.0

16.70.98

0.560.02

1.000.49

0.01G

L28h5

90315

S23520

203.61

1.904.61

1.9852.9

51.7142

25.625.0

9.2416.0

10.016.7

1.000.60

0.021.00

0.490.01

GL28h

590

315S235

300

4.431.97

5.652.05

52.151.0

90.023.6

24.810.0

16.610.0

16.70.94

0.450.01

1.000.40

0.01G

L28h5

90315

S23530

204.43

1.975.65

2.0552.1

51.0112

24.924.8

10.016.7

10.016.7

0.990.49

0.011.00

0.400.01

GL28h

690

315S235

100

2.651.77

3.281.86

54.053.2

16622.3

21.611.0

17.912.0

20.01.00

0.740.02

1.000.66

0.02G

L28h6

90315

S23510

202.65

1.773.28

1.8654.0

53.2208

22.521.6

7.5817.9

12.020.0

1.000.78

0.021.00

0.660.02

GL28h

690

315S235

200

3.611.90

4.611.98

52.951.7

14420.8

20.712.0

19.912.0

20.00.97

0.580.02

1.000.52

0.01G

L28h6

90315

S23520

203.61

1.904.61

1.9852.9

51.7179

21.220.7

10.420.0

12.020.0

1.000.64

0.011.00

0.520.01

GL28h

690

315S235

300

4.431.97

5.652.05

52.151.0

14120.1

20.212.0

20.012.0

20.00.96

0.510.01

1.000.46

0.01G

L28h6

90315

S23530

204.43

1.975.65

2.0552.1

51.0176

20.520.2

10.820.0

12.020.0

1.000.58

0.011.00

0.460.01


C-19

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

790

315S235

100

2.651.77

3.281.86

54.053.2

16819.1

18.514.0

23.314.0

23.30.99

0.740.02

1.000.66

0.02G

L28h7

90315

S23510

202.65

1.773.28

1.8654.0

53.2210

19.318.5

9.5323.3

14.023.3

1.000.78

0.021.00

0.660.02

GL28h

790

315S235

200

3.611.90

4.611.98

52.951.7

17118.0

17.414.0

23.314.0

23.30.98

0.620.01

1.000.56

0.01G

L28h7

90315

S23520

203.61

1.904.61

1.9852.9

51.7214

17.817.4

10.423.3

14.023.3

1.000.69

0.011.00

0.560.01

GL28h

790

315S235

300

4.431.97

5.652.05

52.151.0

17217.2

16.814.0

23.314.0

23.30.98

0.560.01

1.000.51

0.01G

L28h7

90315

S23530

204.43

1.975.65

2.0552.1

51.0215

16.816.8

10.823.3

14.023.3

1.000.64

0.011.00

0.510.01

GL28h

890

315S235

100

2.651.77

3.281.86

54.053.2

18416.9

16.215.8

26.616.0

26.71.00

0.750.02

1.000.68

0.02G

L28h8

90315

S23510

202.65

1.773.28

1.8654.0

53.2230

16.916.2

8.7826.6

16.026.7

1.000.80

0.021.00

0.680.02

GL28h

890

315S235

200

3.611.90

4.611.98

52.951.7

19015.8

15.016.0

26.716.0

26.71.00

0.650.01

1.000.59

0.01G

L28h8

90315

S23520

203.61

1.904.61

1.9852.9

51.7238

15.215.0

9.8026.6

16.026.7

1.000.73

0.011.00

0.590.01

GL28h

890

315S235

300

4.431.97

5.652.05

52.151.0

19315.0

14.216.0

26.716.0

26.70.99

0.600.01

1.000.54

0.01G

L28h8

90315

S23530

204.43

1.975.65

2.0552.1

51.0241

14.114.2

10.526.7

16.026.7

1.000.69

0.011.00

0.540.01

GL28h

990

315S235

100

2.651.77

3.281.86

54.053.2

19615.0

14.317.4

29.918.0

30.01.00

0.770.02

1.000.69

0.02G

L28h9

90315

S23510

202.65

1.773.28

1.8654.0

53.2245

14.914.3

7.4929.9

18.030.0

1.000.82

0.021.00

0.690.02

GL28h

990

315S235

200

3.611.90

4.611.98

52.951.7

20514.0

13.117.7

29.918.0

30.01.00

0.680.01

1.000.61

0.01G

L28h9

90315

S23520

203.61

1.904.61

1.9852.9

51.7256

13.213.1

8.6829.9

18.030.0

1.000.76

0.011.00

0.610.01

GL28h

990

315S235

300

4.431.97

5.652.05

52.151.0

20913.2

12.318.0

29.918.0

30.01.00

0.630.01

1.000.58

0.01G

L28h9

90315

S23530

204.43

1.975.65

2.0552.1

51.0261

12.012.3

9.5330.0

18.030.0

1.000.74

0.011.00

0.580.01

GL28h

490

360S235

100

3.422.33

4.252.46

62.762.0

21145.6

44.04.71

7.768.00

13.31.00

0.760.02

1.000.69

0.02G

L28h4

90360

S23510

203.42

2.334.25

2.4662.7

62.0264

46.144.0

3.127.75

8.0013.3

1.000.81

0.021.00

0.690.02

GL28h

490

360S235

200

4.692.51

6.072.64

61.760.5

14442.8

42.06.26

9.858.00

13.31.00

0.590.02

1.000.50

0.01G

L28h4

90360

S23520

204.69

2.516.07

2.6461.7

60.5180

43.242.0

5.579.85

8.0013.3

1.000.62

0.021.00

0.500.01

GL28h

490

360S235

300

5.802.62

7.552.73

60.959.6

11041.8

41.56.66

10.48.00

13.31.00

0.490.02

1.000.41

0.01G

L28h4

90360

S23530

205.80

2.627.55

2.7360.9

59.6138

42.241.5

6.2710.4

8.0013.3

1.000.51

0.011.00

0.410.01

GL28h

590

360S235

100

3.422.33

4.252.46

62.762.0

21136.5

35.26.34

10.610.0

16.71.00

0.760.02

1.000.69

0.02G

L28h5

90360

S23510

203.42

2.334.25

2.4662.7

62.0263

36.935.2

3.9010.6

10.016.7

1.000.81

0.021.00

0.690.02

GL28h

590

360S235

200

4.692.51

6.072.64

61.760.5

14534.2

33.68.79

13.910.0

16.71.00

0.590.02

1.000.50

0.01G

L28h5

90360

S23520

204.69

2.516.07

2.6461.7

60.5181

34.633.6

7.7213.9

10.016.7

1.000.62

0.021.00

0.500.01

GL28h

590

360S235

300

5.802.62

7.552.73

60.959.6

10933.4

33.29.49

14.810.0

16.71.00

0.490.02

1.000.41

0.01G

L28h5

90360

S23530

205.80

2.627.55

2.7360.9

59.6137

33.733.2

8.8914.8

10.016.7

1.000.51

0.011.00

0.410.01


C-20

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

690

360S235

100

3.422.33

4.252.46

62.762.0

21130.4

29.38.34

14.012.0

20.01.00

0.760.02

1.000.69

0.02G

L28h6

90360

S23510

203.42

2.334.25

2.4662.7

62.0263

30.729.3

4.8214.0

12.020.0

1.000.81

0.021.00

0.690.02

GL28h

690

360S235

200

4.692.51

6.072.64

61.760.5

14428.5

28.012.0

18.812.0

20.01.00

0.590.02

1.000.50

0.01G

L28h6

90360

S23520

204.69

2.516.07

2.6461.7

60.5180

28.828.0

10.418.8

12.020.0

1.000.62

0.021.00

0.500.01

GL28h

690

360S235

300

5.802.62

7.552.73

60.959.6

11326.5

27.712.0

20.012.0

20.00.95

0.470.01

1.000.41

0.01G

L28h6

90360

S23530

205.80

2.627.55

2.7360.9

59.6141

28.127.7

11.920.0

12.020.0

1.000.52

0.011.00

0.410.01

GL28h

790

360S235

100

3.422.33

4.252.46

62.762.0

21026.1

25.110.8

18.214.0

23.31.00

0.760.02

1.000.69

0.02G

L28h7

90360

S23510

203.42

2.334.25

2.4662.7

62.0263

26.325.1

5.9018.1

14.023.3

1.000.81

0.021.00

0.690.02

GL28h

790

360S235

200

4.692.51

6.072.64

61.760.5

16224.0

23.914.0

23.314.0

23.30.97

0.590.02

1.000.52

0.01G

L28h7

90360

S23520

204.69

2.516.07

2.6461.7

60.5202

24.723.9

12.123.3

14.023.3

1.000.65

0.021.00

0.520.01

GL28h

790

360S235

300

5.802.62

7.552.73

60.959.6

15923.3

23.414.0

23.314.0

23.30.96

0.520.01

1.000.46

0.01G

L28h7

90360

S23530

205.80

2.627.55

2.7360.9

59.6199

23.923.4

12.523.3

14.023.3

1.000.58

0.011.00

0.460.01

GL28h

890

360S235

100

3.422.33

4.252.46

62.762.0

21022.8

22.013.5

22.916.0

26.71.00

0.760.02

1.000.69

0.02G

L28h8

90360

S23510

203.42

2.334.25

2.4662.7

62.0263

23.022.0

7.1522.8

16.026.7

1.000.81

0.021.00

0.690.02

GL28h

890

360S235

200

4.692.51

6.072.64

61.760.5

18921.4

20.816.0

26.616.0

26.70.98

0.620.02

1.000.55

0.01G

L28h8

90360

S23520

204.69

2.516.07

2.6461.7

60.5236

21.420.8

12.026.6

16.026.7

1.000.69

0.011.00

0.550.01

GL28h

890

360S235

300

5.802.62

7.552.73

60.959.6

18920.5

20.116.0

26.716.0

26.70.98

0.560.01

1.000.50

0.01G

L28h8

90360

S23530

205.80

2.627.55

2.7360.9

59.6236

20.420.1

12.726.7

16.026.7

1.000.63

0.011.00

0.500.01

GL28h

990

360S235

100

3.422.33

4.252.46

62.762.0

21020.3

19.516.6

28.218.0

30.01.00

0.760.02

1.000.69

0.02G

L28h9

90360

S23510

203.42

2.334.25

2.4662.7

62.0262

20.519.5

8.7328.3

18.030.0

1.000.81

0.021.00

0.690.02

GL28h

990

360S235

200

4.692.51

6.072.64

61.760.5

20819.1

18.318.0

30.018.0

30.00.99

0.650.02

1.000.58

0.01G

L28h9

90360

S23520

204.69

2.516.07

2.6461.7

60.5260

18.818.3

11.630.0

18.030.0

1.000.72

0.011.00

0.580.01

GL28h

990

360S235

300

5.802.62

7.552.73

60.959.6

21118.3

17.418.0

30.018.0

30.00.99

0.590.01

1.000.53

0.01G

L28h9

90360

S23530

205.80

2.627.55

2.7360.9

59.6264

17.617.4

12.330.0

18.030.0

1.000.68

0.011.00

0.530.01

GL28h

1090

360S235

100

3.422.33

4.252.46

62.762.0

21418.3

17.619.4

33.220.0

33.31.00

0.770.02

1.000.69

0.02G

L28h10

90360

S23510

203.42

2.334.25

2.4662.7

62.0267

18.417.6

9.3433.3

20.033.3

1.000.81

0.021.00

0.690.02

GL28h

1090

360S235

200

4.692.51

6.072.64

61.760.5

22317.2

16.319.8

33.320.0

33.31.00

0.670.02

1.000.60

0.01G

L28h10

90360

S23520

204.69

2.516.07

2.6461.7

60.5279

16.716.3

10.633.3

20.033.3

1.000.75

0.011.00

0.600.01

GL28h

1090

360S235

300

5.802.62

7.552.73

60.959.6

22816.4

15.420.0

33.320.0

33.31.00

0.620.01

1.000.56

0.01G

L28h10

90360

S23530

205.80

2.627.55

2.7360.9

59.6285

15.415.4

11.533.3

20.033.3

1.000.71

0.011.00

0.560.01


C-21

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

1190

360S235

100

3.422.33

4.252.46

62.762.0

22416.7

16.021.0

36.522.0

36.71.00

0.780.02

1.000.70

0.02G

L28h11

90360

S23510

203.42

2.334.25

2.4662.7

62.0280

16.716.0

7.6536.5

22.036.7

1.000.83

0.021.00

0.700.02

GL28h

1190

360S235

200

4.692.51

6.072.64

61.760.5

23515.6

14.621.4

36.722.0

36.71.00

0.690.01

1.000.62

0.01G

L28h11

90360

S23520

204.69

2.516.07

2.6461.7

60.5294

15.014.6

9.2536.6

22.036.7

1.000.77

0.011.00

0.620.01

GL28h

1190

360S235

300

5.802.62

7.552.73

60.959.6

24114.7

13.721.7

36.622.0

36.71.00

0.640.01

1.000.58

0.01G

L28h11

90360

S23530

205.80

2.627.55

2.7360.9

59.6301

13.613.7

10.436.7

22.036.7

1.000.74

0.011.00

0.580.01

GL28h

490

405S235

100

4.262.96

5.303.13

71.470.9

25859.8

57.44.04

6.768.00

13.31.00

0.790.02

1.000.72

0.02G

L28h4

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

60.457.4

2.827.17

8.0013.3

1.000.83

0.021.00

0.710.02

GL28h

490

405S235

200

5.853.20

7.633.38

70.569.3

17955.7

54.45.66

8.978.00

13.31.00

0.620.02

1.000.53

0.01G

L28h4

90405

S23520

205.85

3.207.63

3.3870.5

69.3224

56.454.4

4.938.96

8.0013.3

1.000.65

0.021.00

0.530.01

GL28h

490

405S235

300

7.283.35

9.603.51

69.768.3

13954.2

53.56.11

9.568.00

13.31.00

0.510.02

1.000.42

0.01G

L28h4

90405

S23530

207.28

3.359.60

3.5169.7

68.3174

54.753.5

5.699.56

8.0013.3

1.000.54

0.021.00

0.420.01

GL28h

590

405S235

100

4.262.96

5.303.13

71.470.9

25947.9

45.95.09

8.6910.0

16.71.00

0.790.02

1.000.72

0.02G

L28h5

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

48.345.9

3.219.38

10.016.7

1.000.83

0.021.00

0.710.02

GL28h

590

405S235

200

5.853.20

7.633.38

70.569.3

17944.6

43.57.74

12.310.0

16.71.00

0.620.02

1.000.53

0.01G

L28h5

90405

S23520

205.85

3.207.63

3.3870.5

69.3223

45.143.5

6.6112.3

10.016.7

1.000.65

0.021.00

0.530.01

GL28h

590

405S235

300

7.283.35

9.603.51

69.768.3

13943.3

42.88.47

13.210.0

16.71.00

0.510.02

1.000.42

0.01G

L28h5

90405

S23530

207.28

3.359.60

3.5169.7

68.3174

43.742.8

7.8113.2

10.016.7

1.000.54

0.021.00

0.420.01

GL28h

690

405S235

100

4.262.96

5.303.13

71.470.9

25739.9

38.36.52

11.212.0

20.01.00

0.790.02

1.000.72

0.02G

L28h6

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

40.338.3

3.6912.1

12.020.0

1.000.83

0.021.00

0.710.02

GL28h

690

405S235

200

5.853.20

7.633.38

70.569.3

17937.1

36.310.3

16.412.0

20.01.00

0.620.02

1.000.53

0.01G

L28h6

90405

S23520

205.85

3.207.63

3.3870.5

69.3224

37.636.3

8.6116.3

12.020.0

1.000.65

0.021.00

0.530.01

GL28h

690

405S235

300

7.283.35

9.603.51

69.768.3

13936.1

35.711.4

17.712.0

20.01.00

0.510.02

1.000.42

0.01G

L28h6

90405

S23530

207.28

3.359.60

3.5169.7

68.3174

36.535.7

10.417.7

12.020.0

1.000.54

0.021.00

0.420.01

GL28h

790

405S235

100

4.262.96

5.303.13

71.470.9

25734.2

32.88.11

14.114.0

23.31.00

0.790.02

1.000.72

0.02G

L28h7

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

34.532.8

4.2615.3

14.023.3

1.000.83

0.021.00

0.710.02

GL28h

790

405S235

200

5.853.20

7.633.38

70.569.3

17831.8

31.113.3

21.214.0

23.31.00

0.610.02

1.000.52

0.01G

L28h7

90405

S23520

205.85

3.207.63

3.3870.5

69.3223

32.231.1

11.121.2

14.023.3

1.000.65

0.021.00

0.530.01

GL28h

790

405S235

300

7.283.35

9.603.51

69.768.3

13829.7

30.614.0

23.114.0

23.30.96

0.490.02

1.000.42

0.01G

L28h7

90405

S23530

207.28

3.359.60

3.5169.7

68.3172

31.230.6

13.523.1

14.023.3

1.000.54

0.021.00

0.420.01


C-22

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

890

405S235

100

4.262.96

5.303.13

71.470.9

25829.9

28.79.85

17.316.0

26.71.00

0.790.02

1.000.72

0.02G

L28h8

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

30.228.7

4.9119.0

16.026.7

1.000.83

0.021.00

0.710.02

GL28h

890

405S235

200

5.853.20

7.633.38

70.569.3

18027.2

27.216.0

26.616.0

26.70.97

0.600.02

1.000.53

0.01G

L28h8

90405

S23520

205.85

3.207.63

3.3870.5

69.3225

28.227.2

13.726.6

16.026.7

1.000.65

0.021.00

0.530.01

GL28h

890

405S235

300

7.283.35

9.603.51

69.768.3

17726.5

26.616.0

26.616.0

26.70.96

0.520.01

1.000.46

0.01G

L28h8

90405

S23530

207.28

3.359.60

3.5169.7

68.3221

27.326.6

14.226.6

16.026.7

1.000.58

0.011.00

0.460.01

GL28h

990

405S235

100

4.262.96

5.303.13

71.470.9

25826.6

25.511.9

21.118.0

30.01.00

0.790.02

1.000.72

0.02G

L28h9

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

26.825.5

5.6523.2

18.030.0

1.000.83

0.021.00

0.710.02

GL28h

990

405S235

200

5.853.20

7.633.38

70.569.3

20624.7

24.118.0

29.918.0

30.00.98

0.630.02

1.000.55

0.01G

L28h9

90405

S23520

205.85

3.207.63

3.3870.5

69.3257

25.024.1

13.730.0

18.030.0

1.000.69

0.021.00

0.550.01

GL28h

990

405S235

300

7.283.35

9.603.51

69.768.3

20623.8

23.318.0

30.018.0

30.00.98

0.560.01

1.000.49

0.01G

L28h9

90405

S23530

207.28

3.359.60

3.5169.7

68.3258

23.923.3

14.430.0

18.030.0

1.000.63

0.011.00

0.490.01

GL28h

1090

405S235

100

4.262.96

5.303.13

71.470.9

25723.9

23.014.4

25.520.0

33.31.00

0.790.02

1.000.72

0.02G

L28h10

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

24.223.0

6.4827.8

20.033.3

1.000.83

0.021.00

0.710.02

GL28h

1090

405S235

200

5.853.20

7.633.38

70.569.3

22622.5

21.620.0

33.220.0

33.31.00

0.650.02

1.000.58

0.01G

L28h10

90405

S23520

205.85

3.207.63

3.3870.5

69.3282

22.421.6

13.333.3

20.033.3

1.000.72

0.021.00

0.570.01

GL28h

1090

405S235

300

7.283.35

9.603.51

69.768.3

22921.6

20.720.0

33.220.0

33.30.99

0.590.01

1.000.52

0.01G

L28h10

90405

S23530

207.28

3.359.60

3.5169.7

68.3286

21.120.7

14.133.3

20.033.3

1.000.67

0.011.00

0.520.01

GL28h

1190

405S235

100

4.262.96

5.303.13

71.470.9

25621.7

20.917.1

30.422.0

36.71.00

0.790.02

1.000.72

0.02G

L28h11

90405

S23510

204.26

2.965.30

3.1371.4

70.9307

22.020.9

7.3933.0

22.036.7

1.000.83

0.021.00

0.710.02

GL28h

1190

405S235

200

5.853.20

7.633.38

70.569.3

24120.5

19.521.9

36.622.0

36.71.00

0.670.02

1.000.59

0.01G

L28h11

90405

S23520

205.85

3.207.63

3.3870.5

69.3301

20.219.5

12.636.7

22.036.7

1.000.74

0.011.00

0.590.01

GL28h

1190

405S235

300

7.283.35

9.603.51

69.768.3

24619.6

18.522.0

36.622.0

36.71.00

0.610.01

1.000.54

0.01G

L28h11

90405

S23530

207.28

3.359.60

3.5169.7

68.3307

18.818.5

13.536.7

22.036.7

1.000.70

0.011.00

0.540.01

GL28h

490

450S235

100

5.163.66

6.403.88

80.079.7

30676.1

72.93.62

6.138.00

13.31.00

0.810.02

1.000.74

0.02G

L28h4

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

76.172.1

3.607.72

8.0013.3

1.000.81

0.021.00

0.700.02

GL28h

490

450S235

200

7.083.97

9.274.20

79.478.2

21770.5

68.55.24

8.358.00

13.31.00

0.640.02

1.000.55

0.02G

L28h4

90450

S23520

207.08

3.979.27

4.2079.4

78.2271

71.468.5

4.478.35

8.0013.3

1.000.68

0.021.00

0.550.02

GL28h

490

450S235

300

8.834.17

11.84.38

78.577.0

16868.2

67.25.75

9.028.00

13.31.00

0.530.02

1.000.44

0.01G

L28h4

90450

S23530

208.83

4.1711.8

4.3878.5

77.0209

68.967.2

5.329.03

8.0013.3

1.000.56

0.021.00

0.440.01


C-23

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

590

450S235

100

5.163.66

6.403.88

80.079.7

30760.9

58.34.28

7.4510.0

16.71.00

0.810.02

1.000.75

0.02G

L28h5

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

60.957.7

4.2810.0

10.016.7

1.000.81

0.021.00

0.700.02

GL28h

590

450S235

200

7.083.97

9.274.20

79.478.2

21756.4

54.86.93

11.110.0

16.71.00

0.640.02

1.000.55

0.02G

L28h5

90450

S23520

207.08

3.979.27

4.2079.4

78.2271

57.154.8

5.7111.1

10.016.7

1.000.68

0.021.00

0.550.02

GL28h

590

450S235

300

8.834.17

11.84.38

78.577.0

16854.6

53.77.76

12.210.0

16.71.00

0.530.02

1.000.44

0.01G

L28h5

90450

S23530

208.83

4.1711.8

4.3878.5

77.0209

55.153.7

7.0912.2

10.016.7

1.000.56

0.021.00

0.440.01

GL28h

690

450S235

100

5.163.66

6.403.88

80.079.7

30750.7

48.65.10

9.1012.0

20.01.00

0.810.02

1.000.75

0.02G

L28h6

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

50.748.0

5.1012.8

12.020.0

1.000.81

0.021.00

0.700.02

GL28h

690

450S235

200

7.083.97

9.274.20

79.478.2

21647.0

45.79.03

14.512.0

20.01.00

0.640.02

1.000.55

0.02G

L28h6

90450

S23520

207.08

3.979.27

4.2079.4

78.2270

47.645.7

7.2714.5

12.020.0

1.000.68

0.021.00

0.550.02

GL28h

690

450S235

300

8.834.17

11.84.38

78.577.0

16845.5

44.810.2

16.012.0

20.01.00

0.530.02

1.000.44

0.01G

L28h6

90450

S23530

208.83

4.1711.8

4.3878.5

77.0209

45.944.8

9.2416.1

12.020.0

1.000.56

0.021.00

0.440.01

GL28h

790

450S235

100

5.163.66

6.403.88

80.079.7

30643.5

41.66.13

11.114.0

23.31.00

0.810.02

1.000.74

0.02G

L28h7

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

43.541.2

6.0716.1

14.023.3

1.000.81

0.021.00

0.700.02

GL28h

790

450S235

200

7.083.97

9.274.20

79.478.2

21640.3

39.211.5

18.514.0

23.31.00

0.640.02

1.000.55

0.02G

L28h7

90450

S23520

207.08

3.979.27

4.2079.4

78.2270

40.839.2

9.0818.5

14.023.3

1.000.68

0.021.00

0.550.02

GL28h

790

450S235

300

8.834.17

11.84.38

78.577.0

16739.0

38.413.2

20.714.0

23.31.00

0.530.02

1.000.44

0.01G

L28h7

90450

S23530

208.83

4.1711.8

4.3878.5

77.0209

39.438.4

11.820.6

14.023.3

1.000.56

0.021.00

0.440.01

GL28h

890

450S235

100

5.163.66

6.403.88

80.079.7

30638.0

36.47.27

13.416.0

26.71.00

0.810.02

1.000.74

0.02G

L28h8

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

38.136.0

7.1919.9

16.026.7

1.000.81

0.021.00

0.700.02

GL28h

890

450S235

200

7.083.97

9.274.20

79.478.2

21635.3

34.314.3

23.016.0

26.71.00

0.640.02

1.000.55

0.02G

L28h8

90450

S23520

207.08

3.979.27

4.2079.4

78.2269

35.734.3

11.223.1

16.026.7

1.000.68

0.021.00

0.550.02

GL28h

890

450S235

300

8.834.17

11.84.38

78.577.0

16733.3

33.616.0

25.916.0

26.70.97

0.520.02

1.000.44

0.01G

L28h8

90450

S23530

208.83

4.1711.8

4.3878.5

77.0208

34.533.6

14.826.0

16.026.7

1.000.56

0.021.00

0.440.01

GL28h

990

450S235

100

5.163.66

6.403.88

80.079.7

30633.8

32.48.56

16.018.0

30.01.00

0.810.02

1.000.74

0.02G

L28h9

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

33.832.0

8.4624.3

18.030.0

1.000.81

0.021.00

0.700.02

GL28h

990

450S235

200

7.083.97

9.274.20

79.478.2

21531.3

30.517.6

28.318.0

30.01.00

0.640.02

1.000.55

0.02G

L28h9

90450

S23520

207.08

3.979.27

4.2079.4

78.2269

31.730.5

13.628.3

18.030.0

1.000.68

0.021.00

0.550.02

GL28h

990

450S235

300

8.834.17

11.84.38

78.577.0

19429.6

29.818.0

30.018.0

30.00.96

0.530.02

1.000.46

0.01G

L28h9

90450

S23530

208.83

4.1711.8

4.3878.5

77.0242

30.729.8

16.030.0

18.030.0

1.000.59

0.021.00

0.460.01


C-24

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

1090

450S235

100

5.163.66

6.403.88

80.079.7

30730.4

29.19.88

18.720.0

33.31.00

0.810.02

1.000.75

0.02G

L28h10

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

30.428.8

9.8829.1

20.033.3

1.000.81

0.021.00

0.700.02

GL28h

1090

450S235

200

7.083.97

9.274.20

79.478.2

22327.9

27.420.0

33.220.0

33.30.98

0.630.02

1.000.56

0.02G

L28h10

90450

S23520

207.08

3.979.27

4.2079.4

78.2278

28.627.4

15.433.3

20.033.3

1.000.69

0.021.00

0.560.02

GL28h

1090

450S235

300

8.834.17

11.84.38

78.577.0

22327.1

26.620.0

33.320.0

33.30.98

0.560.02

1.000.49

0.01G

L28h10

90450

S23530

208.83

4.1711.8

4.3878.5

77.0279

27.426.6

16.133.3

20.033.3

1.000.63

0.011.00

0.490.01

GL28h

1190

450S235

100

5.163.66

6.403.88

80.079.7

30627.7

26.511.6

22.122.0

36.71.00

0.810.02

1.000.74

0.02G

L28h11

90450

S23510

205.16

3.666.40

3.8880.0

79.7307

27.726.2

11.434.4

22.036.7

1.000.81

0.021.00

0.700.02

GL28h

1190

450S235

200

7.083.97

9.274.20

79.478.2

24325.8

24.922.0

36.522.0

36.71.00

0.660.02

1.000.57

0.01G

L28h11

90450

S23520

207.08

3.979.27

4.2079.4

78.2303

25.924.9

15.036.6

22.036.7

1.000.71

0.021.00

0.570.01

GL28h

1190

450S235

300

8.834.17

11.84.38

78.577.0

24624.8

23.922.0

36.622.0

36.70.99

0.590.02

1.000.52

0.01G

L28h11

90450

S23530

208.83

4.1711.8

4.3878.5

77.0307

24.623.9

15.936.6

22.036.7

1.000.66

0.011.00

0.520.01

GL28h

490

495S235

100

6.124.42

7.584.69

88.588.4

30792.7

89.74.15

6.888.00

13.31.00

0.800.02

1.000.73

0.02G

L28h4

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

92.787.7

4.158.11

8.0013.3

1.000.80

0.021.00

0.690.02

GL28h

490

495S235

200

8.374.81

11.05.11

88.287.1

25687.2

84.44.97

7.948.00

13.31.00

0.660.02

1.000.57

0.02G

L28h4

90495

S23520

208.37

4.8111.0

5.1188.2

87.1320

88.384.4

4.177.94

8.0013.3

1.000.71

0.021.00

0.570.02

GL28h

490

495S235

300

10.55.06

14.05.34

87.485.8

20084.0

82.45.49

8.658.00

13.31.00

0.550.02

1.000.46

0.01G

L28h4

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8250

85.082.4

5.038.65

8.0013.3

1.000.58

0.021.00

0.460.01

GL28h

590

495S235

100

6.124.42

7.584.69

88.588.4

30774.1

71.84.99

8.4210.0

16.71.00

0.800.02

1.000.73

0.02G

L28h5

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

74.170.1

4.9910.4

10.016.7

1.000.80

0.021.00

0.690.02

GL28h

590

495S235

200

8.374.81

11.05.11

88.287.1

25769.8

67.56.33

10.210.0

16.71.00

0.660.02

1.000.57

0.02G

L28h5

90495

S23520

208.37

4.8111.0

5.1188.2

87.1321

70.767.5

5.0610.2

10.016.7

1.000.71

0.021.00

0.570.02

GL28h

590

495S235

300

10.55.06

14.05.34

87.485.8

20067.2

65.97.22

11.410.0

16.71.00

0.550.02

1.000.46

0.01G

L28h5

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8249

68.065.9

6.5111.4

10.016.7

1.000.58

0.021.00

0.460.01

GL28h

690

495S235

100

6.124.42

7.584.69

88.588.4

30761.8

59.86.01

10.312.0

20.01.00

0.800.02

1.000.73

0.02G

L28h6

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

61.858.4

6.0113.2

12.020.0

1.000.80

0.021.00

0.690.02

GL28h

690

495S235

200

8.374.81

11.05.11

88.287.1

25658.2

56.38.04

13.012.0

20.01.00

0.660.02

1.000.57

0.02G

L28h6

90495

S23520

208.37

4.8111.0

5.1188.2

87.1320

58.956.3

6.2013.0

12.020.0

1.000.71

0.021.00

0.570.02

GL28h

690

495S235

300

10.55.06

14.05.34

87.485.8

20056.0

54.99.34

14.712.0

20.01.00

0.550.02

1.000.46

0.01G

L28h6

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8250

56.654.9

8.2714.7

12.020.0

1.000.58

0.021.00

0.460.01


C-25

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

790

495S235

100

6.124.42

7.584.69

88.588.4

30753.0

51.37.22

12.514.0

23.31.00

0.800.02

1.000.73

0.02G

L28h7

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

53.050.1

7.2216.5

14.023.3

1.000.80

0.021.00

0.690.02

GL28h

790

495S235

200

8.374.81

11.05.11

88.287.1

25749.9

48.210.0

16.314.0

23.31.00

0.660.02

1.000.57

0.02G

L28h7

90495

S23520

208.37

4.8111.0

5.1188.2

87.1321

50.548.2

7.4716.3

14.023.3

1.000.71

0.021.00

0.570.02

GL28h

790

495S235

300

10.55.06

14.05.34

87.485.8

20048.0

47.111.8

18.714.0

23.31.00

0.550.02

1.000.46

0.01G

L28h7

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8250

48.647.1

10.418.7

14.023.3

1.000.58

0.021.00

0.460.01

GL28h

890

495S235

100

6.124.42

7.584.69

88.588.4

30746.3

44.98.61

15.116.0

26.71.00

0.800.02

1.000.73

0.02G

L28h8

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

46.343.8

8.6120.3

16.026.7

1.000.80

0.021.00

0.690.02

GL28h

890

495S235

200

8.374.81

11.05.11

88.287.1

25543.6

42.212.4

20.216.0

26.71.00

0.660.02

1.000.57

0.02G

L28h8

90495

S23520

208.37

4.8111.0

5.1188.2

87.1319

44.242.2

9.0920.2

16.026.7

1.000.71

0.021.00

0.570.02

GL28h

890

495S235

300

10.55.06

14.05.34

87.485.8

19942.0

41.214.8

23.316.0

26.71.00

0.550.02

1.000.46

0.01G

L28h8

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8249

42.541.2

12.823.3

16.026.7

1.000.58

0.021.00

0.460.01

GL28h

990

495S235

100

6.124.42

7.584.69

88.588.4

30741.2

39.910.2

18.018.0

30.01.00

0.800.02

1.000.73

0.02G

L28h9

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

41.239.0

10.224.6

18.030.0

1.000.80

0.021.00

0.690.02

GL28h

990

495S235

200

8.374.81

11.05.11

88.287.1

25638.8

37.514.9

24.418.0

30.01.00

0.660.02

1.000.57

0.02G

L28h9

90495

S23520

208.37

4.8111.0

5.1188.2

87.1320

39.337.5

10.824.4

18.030.0

1.000.71

0.021.00

0.570.02

GL28h

990

495S235

300

10.55.06

14.05.34

87.485.8

19937.3

36.618.0

28.418.0

30.01.00

0.550.02

1.000.46

0.01G

L28h9

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8248

37.836.6

15.728.5

18.030.0

1.000.58

0.021.00

0.460.01

GL28h

1090

495S235

100

6.124.42

7.584.69

88.588.4

30737.1

35.911.9

21.320.0

33.31.00

0.800.02

1.000.73

0.02G

L28h10

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

37.135.1

11.929.5

20.033.3

1.000.80

0.021.00

0.690.02

GL28h

1090

495S235

200

8.374.81

11.05.11

88.287.1

25534.9

33.817.9

29.320.0

33.31.00

0.660.02

1.000.57

0.02G

L28h10

90495

S23520

208.37

4.8111.0

5.1188.2

87.1319

35.333.8

12.829.3

20.033.3

1.000.71

0.021.00

0.570.02

GL28h

1090

495S235

300

10.55.06

14.05.34

87.485.8

21132.8

32.920.0

33.320.0

33.30.97

0.540.02

1.000.47

0.01G

L28h10

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8264

34.032.9

17.733.3

20.033.3

1.000.60

0.021.00

0.470.01

GL28h

1190

495S235

100

6.124.42

7.584.69

88.588.4

30733.7

32.613.9

24.922.0

36.71.00

0.800.02

1.000.73

0.02G

L28h11

90495

S23510

206.12

4.427.58

4.6988.5

88.4307

33.731.9

13.934.8

22.036.7

1.000.80

0.021.00

0.690.02

GL28h

1190

495S235

200

8.374.81

11.05.11

88.287.1

25731.7

30.721.0

34.422.0

36.71.00

0.660.02

1.000.57

0.02G

L28h11

90495

S23520

208.37

4.8111.0

5.1188.2

87.1321

32.130.7

14.734.5

22.036.7

1.000.71

0.021.00

0.570.02

GL28h

1190

495S235

300

10.55.06

14.05.34

87.485.8

24030.3

29.822.0

36.622.0

36.70.98

0.570.02

1.000.49

0.01G

L28h11

90495

S23530

2010.5

5.0614.0

5.3487.4

85.8299

30.929.8

17.936.7

22.036.7

1.000.63

0.021.00

0.490.01


C-26

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

4115

225S235

100

1.731.11

2.091.15

46.645.5

13719.0

18.88.00

13.38.00

13.30.97

0.680.02

1.000.63

0.01G

L28h4

115225

S23510

201.73

1.112.09

1.1546.6

45.5171

19.318.8

6.7413.3

8.0013.3

1.000.74

0.021.00

0.630.01

GL28h

4115

225S235

200

2.271.17

2.751.20

45.244.1

13418.0

17.98.00

13.38.00

13.30.96

0.580.01

1.000.53

0.01G

L28h4

115225

S23520

202.27

1.172.75

1.2045.2

44.1168

18.017.9

7.0713.3

8.0013.3

1.000.64

0.011.00

0.530.01

GL28h

4115

225S235

300

2.681.21

3.221.24

44.744.1

13317.6

17.78.00

13.38.00

13.30.96

0.520.01

1.000.49

0.01G

L28h4

115225

S23530

202.68

1.213.22

1.2444.7

44.1166

17.417.7

7.2113.3

8.0013.3

1.000.59

0.011.00

0.490.01

GL28h

5115

225S235

100

1.731.11

2.091.15

46.645.5

16915.4

14.710.0

16.610.0

16.70.99

0.730.02

1.000.67

0.01G

L28h5

115225

S23510

201.73

1.112.09

1.1546.6

45.5211

15.014.7

6.5216.6

10.016.7

1.000.79

0.011.00

0.670.01

GL28h

5115

225S235

200

2.271.17

2.751.20

45.244.1

17214.1

13.510.0

16.710.0

16.70.98

0.640.01

1.000.59

0.01G

L28h5

115225

S23520

202.27

1.172.75

1.2045.2

44.1215

13.313.5

7.0316.7

10.016.7

1.000.72

0.011.00

0.590.01

GL28h

5115

225S235

300

2.681.21

3.221.24

44.744.1

17413.5

13.010.0

16.610.0

16.70.98

0.600.01

1.000.56

0.01G

L28h5

115225

S23530

202.68

1.213.22

1.2444.7

44.1217

12.413.1

7.2916.7

10.016.7

1.000.69

0.011.00

0.560.01

GL28h

6115

225S235

100

1.731.11

2.091.15

46.645.5

18912.7

12.011.8

19.912.0

20.01.00

0.760.01

1.000.70

0.01G

L28h6

115225

S23510

201.73

1.112.09

1.1546.6

45.5236

12.112.0

5.4619.9

12.020.0

1.000.83

0.011.00

0.700.01

GL28h

6115

225S235

200

2.271.17

2.751.20

45.244.1

19511.5

10.712.0

20.012.0

20.01.00

0.680.01

1.000.63

0.01G

L28h6

115225

S23520

202.27

1.172.75

1.2045.2

44.1244

10.310.7

6.1720.0

12.020.0

1.000.78

0.011.00

0.630.01

GL28h

6115

225S235

300

2.681.21

3.221.24

44.744.1

19810.8

10.112.0

20.012.0

20.00.99

0.650.01

1.000.61

0.01G

L28h6

115225

S23530

202.68

1.213.22

1.2444.7

44.1248

9.2310.1

6.5820.0

12.020.0

1.000.76

0.011.00

0.610.01

GL28h

7115

225S235

100

1.731.11

2.091.15

46.645.5

20210.8

10.013.5

23.314.0

23.31.00

0.780.01

1.000.72

0.01G

L28h7

115225

S23510

201.73

1.112.09

1.1546.6

45.5253

10.010.0

3.6323.3

14.023.3

1.000.85

0.011.00

0.720.01

GL28h

7115

225S235

200

2.271.17

2.751.20

45.244.1

2109.61

8.7913.8

23.314.0

23.31.00

0.710.01

1.000.66

0.01G

L28h7

115225

S23520

202.27

1.172.75

1.2045.2

44.1263

8.288.80

4.6523.3

14.023.3

1.000.82

0.011.00

0.670.01

GL28h

7115

225S235

300

2.681.21

3.221.24

44.744.1

2158.88

8.1813.9

23.314.0

23.31.00

0.680.01

1.000.65

0.01G

L28h7

115225

S23530

202.68

1.213.22

1.2444.7

44.1263

7.408.12

6.1623.3

14.023.3

1.000.80

0.010.98

0.630.01

GL28h

4115

270S235

100

2.551.65

3.141.72

57.856.6

15729.7

28.97.26

11.68.00

13.31.00

0.700.02

1.000.62

0.02G

L28h4

115270

S23510

202.55

1.653.14

1.7257.8

56.6196

30.028.9

5.9811.6

8.0013.3

1.000.73

0.021.00

0.620.02

GL28h

4115

270S235

200

3.441.75

4.301.81

56.254.9

10227.3

28.28.00

13.18.00

13.30.96

0.520.01

1.000.46

0.01G

L28h4

115270

S23520

203.44

1.754.30

1.8156.2

54.9127

28.628.2

7.9113.1

8.0013.3

1.000.56

0.011.00

0.460.01

GL28h

4115

270S235

300

4.151.81

5.161.87

55.454.4

79.026.6

28.38.00

13.38.00

13.30.94

0.430.01

1.000.39

0.01G

L28h4

115270

S23530

204.15

1.815.16

1.8755.4

54.498.0

27.528.3

8.0013.3

8.0013.3

0.970.46

0.011.00

0.390.01


C-27

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

5115

270S235

100

2.551.65

3.141.72

57.856.6

16223.3

23.110.0

16.710.0

16.70.97

0.690.02

1.000.62

0.02G

L28h5

115270

S23510

202.55

1.653.14

1.7257.8

56.6203

24.023.1

8.2516.6

10.016.7

1.000.74

0.021.00

0.620.02

GL28h

5115

270S235

200

3.441.75

4.301.81

56.254.9

15922.2

22.110.0

16.710.0

16.70.96

0.570.01

1.000.51

0.01G

L28h5

115270

S23520

203.44

1.754.30

1.8156.2

54.9199

22.522.1

8.7716.7

10.016.7

1.000.63

0.011.00

0.520.01

GL28h

5115

270S235

300

4.151.81

5.161.87

55.454.4

15721.6

21.710.0

16.710.0

16.70.96

0.510.01

1.000.46

0.01G

L28h5

115270

S23530

204.15

1.815.16

1.8755.4

54.4196

21.721.7

9.0116.7

10.016.7

1.000.57

0.011.00

0.460.01

GL28h

6115

270S235

100

2.551.65

3.141.72

57.856.6

19219.8

19.212.0

20.012.0

20.00.99

0.720.02

1.000.65

0.01G

L28h6

115270

S23510

202.55

1.653.14

1.7257.8

56.6240

19.819.2

8.1120.0

12.020.0

1.000.78

0.021.00

0.650.01

GL28h

6115

270S235

200

3.441.75

4.301.81

56.254.9

19618.5

17.812.0

20.012.0

20.00.98

0.620.01

1.000.56

0.01G

L28h6

115270

S23520

203.44

1.754.30

1.8156.2

54.9245

17.917.8

8.7320.0

12.020.0

1.000.70

0.011.00

0.560.01

GL28h

6115

270S235

300

4.151.81

5.161.87

55.454.4

19717.7

17.212.0

20.012.0

20.00.98

0.570.01

1.000.52

0.01G

L28h6

115270

S23530

204.15

1.815.16

1.8755.4

54.4246

16.817.2

9.1420.0

12.020.0

1.000.65

0.011.00

0.520.01

GL28h

7115

270S235

100

2.551.65

3.141.72

57.856.6

21317.1

16.313.8

23.214.0

23.31.00

0.750.02

1.000.68

0.01G

L28h7

115270

S23510

202.55

1.653.14

1.7257.8

56.6266

16.716.3

7.2123.3

14.023.3

1.000.81

0.011.00

0.680.01

GL28h

7115

270S235

200

3.441.75

4.301.81

56.254.9

22015.8

14.814.0

23.314.0

23.31.00

0.660.01

1.000.60

0.01G

L28h7

115270

S23520

203.44

1.754.30

1.8156.2

54.9275

14.714.8

8.0923.3

14.023.3

1.000.75

0.011.00

0.600.01

GL28h

7115

270S235

300

4.151.81

5.161.87

55.454.4

22314.8

14.014.0

23.314.0

23.30.99

0.610.01

1.000.57

0.01G

L28h7

115270

S23530

204.15

1.815.16

1.8755.4

54.4279

13.414.0

8.6323.3

14.023.3

1.000.72

0.011.00

0.570.01

GL28h

8115

270S235

100

2.551.65

3.141.72

57.856.6

22814.9

14.115.4

26.516.0

26.71.00

0.760.02

1.000.70

0.01G

L28h8

115270

S23510

202.55

1.653.14

1.7257.8

56.6284

14.414.1

5.7926.7

16.026.7

1.000.83

0.011.00

0.700.01

GL28h

8115

270S235

200

3.441.75

4.301.81

56.254.9

23713.6

12.615.8

26.716.0

26.71.00

0.690.01

1.000.63

0.01G

L28h8

115270

S23520

203.44

1.754.30

1.8156.2

54.9296

12.412.6

6.9026.7

16.026.7

1.000.78

0.011.00

0.630.01

GL28h

8115

270S235

300

4.151.81

5.161.87

55.454.4

24212.7

11.716.0

26.716.0

26.71.00

0.650.01

1.000.60

0.01G

L28h8

115270

S23530

204.15

1.815.16

1.8755.4

54.4303

11.011.7

7.4326.6

16.026.7

1.000.77

0.011.00

0.600.01

GL28h

4115

315S235

100

3.472.28

4.312.39

68.967.8

20742.6

41.25.85

9.468.00

13.31.00

0.730.02

1.000.64

0.02G

L28h4

115315

S23510

203.47

2.284.31

2.3968.9

67.8259

43.041.2

4.459.45

8.0013.3

1.000.76

0.021.00

0.640.02

GL28h

4115

315S235

200

4.752.44

6.072.54

67.465.9

13940.3

39.87.15

11.28.00

13.31.00

0.560.02

1.000.47

0.01G

L28h4

115315

S23520

204.75

2.446.07

2.5467.4

65.9174

40.739.8

6.5611.2

8.0013.3

1.000.58

0.021.00

0.470.01

GL28h

4115

315S235

300

5.832.53

7.442.63

66.465.0

10339.7

39.67.47

11.68.00

13.31.00

0.460.01

1.000.39

0.01G

L28h4

115315

S23530

205.83

2.537.44

2.6366.4

65.0129

39.939.6

7.1611.6

8.0013.3

1.000.48

0.011.00

0.390.01


C-28

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

5115

315S235

100

3.472.28

4.312.39

68.967.8

20834.1

33.08.26

13.410.0

16.71.00

0.730.02

1.000.64

0.02G

L28h5

115315

S23510

203.47

2.284.31

2.3968.9

67.8260

34.433.0

6.0513.4

10.016.7

1.000.77

0.021.00

0.640.02

GL28h

5115

315S235

200

4.752.44

6.072.54

67.465.9

13931.4

31.810.0

16.210.0

16.70.97

0.540.02

1.000.47

0.01G

L28h5

115315

S23520

204.75

2.446.07

2.5467.4

65.9173

32.531.8

9.4816.2

10.016.7

1.000.58

0.021.00

0.470.01

GL28h

5115

315S235

300

5.832.53

7.442.63

66.465.0

11330.1

31.710.0

16.610.0

16.70.94

0.440.01

1.000.39

0.01G

L28h5

115315

S23530

205.83

2.537.44

2.6366.4

65.0141

31.731.7

10.016.7

10.016.7

0.990.48

0.011.00

0.390.01

GL28h

6115

315S235

100

3.472.28

4.312.39

68.967.8

20728.4

27.511.3

18.412.0

20.01.00

0.730.02

1.000.64

0.02G

L28h6

115315

S23510

203.47

2.284.31

2.3968.9

67.8259

28.727.5

8.1218.3

12.020.0

1.000.76

0.021.00

0.640.02

GL28h

6115

315S235

200

4.752.44

6.072.54

67.465.9

18326.4

26.312.0

20.012.0

20.00.97

0.570.02

1.000.51

0.01G

L28h6

115315

S23520

204.75

2.446.07

2.5467.4

65.9229

27.026.3

10.520.0

12.020.0

1.000.63

0.011.00

0.510.01

GL28h

6115

315S235

300

5.832.53

7.442.63

66.465.0

18025.6

25.812.0

20.012.0

20.00.96

0.500.01

1.000.45

0.01G

L28h6

115315

S23530

205.83

2.537.44

2.6366.4

65.0225

26.025.8

10.820.0

12.020.0

1.000.57

0.011.00

0.450.01

GL28h

7115

315S235

100

3.472.28

4.312.39

68.967.8

21524.2

23.614.0

23.314.0

23.30.99

0.730.02

1.000.65

0.02G

L28h7

115315

S23510

203.47

2.284.31

2.3968.9

67.8268

24.623.6

9.6823.3

14.023.3

1.000.77

0.021.00

0.650.02

GL28h

7115

315S235

200

4.752.44

6.072.54

67.465.9

21922.9

22.114.0

23.314.0

23.30.98

0.610.01

1.000.55

0.01G

L28h7

115315

S23520

204.75

2.446.07

2.5467.4

65.9273

22.622.1

10.523.3

14.023.3

1.000.68

0.011.00

0.550.01

GL28h

7115

315S235

300

5.832.53

7.442.63

66.465.0

22021.9

21.314.0

23.314.0

23.30.98

0.550.01

1.000.50

0.01G

L28h7

115315

S23530

205.83

2.537.44

2.6366.4

65.0274

21.321.3

11.023.3

14.023.3

1.000.63

0.011.00

0.500.01

GL28h

8115

315S235

100

3.472.28

4.312.39

68.967.8

23621.4

20.615.8

26.516.0

26.71.00

0.750.02

1.000.67

0.02G

L28h8

115315

S23510

203.47

2.284.31

2.3968.9

67.8294

21.420.6

8.9726.7

16.026.7

1.000.80

0.021.00

0.670.02

GL28h

8115

315S235

200

4.752.44

6.072.54

67.465.9

24420.0

19.016.0

26.616.0

26.71.00

0.650.01

1.000.58

0.01G

L28h8

115315

S23520

204.75

2.446.07

2.5467.4

65.9304

19.219.0

10.026.7

16.026.7

1.000.72

0.011.00

0.580.01

GL28h

8115

315S235

300

5.832.53

7.442.63

66.465.0

24719.0

18.016.0

26.716.0

26.70.99

0.590.01

1.000.54

0.01G

L28h8

115315

S23530

205.83

2.537.44

2.6366.4

65.0309

17.818.0

10.526.6

16.026.7

1.000.69

0.011.00

0.540.01

GL28h

9115

315S235

100

3.472.28

4.312.39

68.967.8

25119.1

18.217.5

30.018.0

30.01.00

0.760.02

1.000.69

0.02G

L28h9

115315

S23510

203.47

2.284.31

2.3968.9

67.8314

18.918.2

7.6430.0

18.030.0

1.000.82

0.021.00

0.690.02

GL28h

9115

315S235

200

4.752.44

6.072.54

67.465.9

26217.7

16.517.8

30.018.0

30.01.00

0.670.01

1.000.61

0.01G

L28h9

115315

S23520

204.75

2.446.07

2.5467.4

65.9328

16.716.5

8.8229.9

18.030.0

1.000.76

0.011.00

0.610.01

GL28h

9115

315S235

300

5.832.53

7.442.63

66.465.0

26716.7

15.518.0

30.018.0

30.01.00

0.620.01

1.000.57

0.01G

L28h9

115315

S23530

205.83

2.537.44

2.6366.4

65.0334

15.115.5

9.6930.0

18.030.0

1.000.73

0.011.00

0.570.01


C-29

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

4115

360S235

100

4.483.00

5.593.16

80.179.1

26257.9

55.94.89

8.018.00

13.31.00

0.750.02

1.000.67

0.02G

L28h4

115360

S23510

204.48

3.005.59

3.1680.1

79.1327

58.555.9

3.428.02

8.0013.3

1.000.80

0.021.00

0.670.02

GL28h

4115

360S235

200

6.183.23

8.013.39

78.777.1

17854.4

53.56.32

9.948.00

13.31.00

0.580.02

1.000.49

0.01G

L28h4

115360

S23520

206.18

3.238.01

3.3978.7

77.1223

55.053.5

5.689.94

8.0013.3

1.000.61

0.021.00

0.490.01

GL28h

4115

360S235

300

7.663.37

9.963.51

77.675.9

13553.3

53.06.69

10.48.00

13.31.00

0.480.01

1.000.39

0.01G

L28h4

115360

S23530

207.66

3.379.96

3.5177.6

75.9168

53.753.0

6.3510.4

8.0013.3

1.000.50

0.011.00

0.390.01

GL28h

5115

360S235

100

4.483.00

5.593.16

80.179.1

26246.3

44.76.63

11.010.0

16.71.00

0.750.02

1.000.67

0.02G

L28h5

115360

S23510

204.48

3.005.59

3.1680.1

79.1327

46.844.7

4.3211.0

10.016.7

1.000.80

0.021.00

0.670.02

GL28h

5115

360S235

200

6.183.23

8.013.39

78.777.1

17843.6

42.88.93

14.010.0

16.71.00

0.580.02

1.000.49

0.01G

L28h5

115360

S23520

206.18

3.238.01

3.3978.7

77.1223

44.042.8

7.9214.0

10.016.7

1.000.61

0.021.00

0.490.01

GL28h

5115

360S235

300

7.663.37

9.963.51

77.675.9

13542.6

42.49.53

14.810.0

16.71.00

0.480.01

1.000.39

0.01G

L28h5

115360

S23530

207.66

3.379.96

3.5177.6

75.9169

43.042.4

8.9714.8

10.016.7

1.000.50

0.011.00

0.400.01

GL28h

6115

360S235

100

4.483.00

5.593.16

80.179.1

26138.6

37.38.80

14.612.0

20.01.00

0.750.02

1.000.67

0.02G

L28h6

115360

S23510

204.48

3.005.59

3.1680.1

79.1326

39.037.3

5.4814.6

12.020.0

1.000.80

0.021.00

0.670.02

GL28h

6115

360S235

200

6.183.23

8.013.39

78.777.1

17836.1

35.612.0

19.112.0

20.00.99

0.570.02

1.000.49

0.01G

L28h6

115360

S23520

206.18

3.238.01

3.3978.7

77.1223

36.735.6

10.719.0

12.020.0

1.000.61

0.021.00

0.490.01

GL28h

6115

360S235

300

7.663.37

9.963.51

77.675.9

14233.8

35.312.0

20.012.0

20.00.94

0.460.01

1.000.40

0.01G

L28h6

115360

S23530

207.66

3.379.96

3.5177.6

75.9177

35.835.3

12.020.0

12.020.0

1.000.50

0.011.00

0.400.01

GL28h

7115

360S235

100

4.483.00

5.593.16

80.179.1

26233.1

31.911.3

18.814.0

23.31.00

0.750.02

1.000.67

0.02G

L28h7

115360

S23510

204.48

3.005.59

3.1680.1

79.1327

33.431.9

6.7318.9

14.023.3

1.000.80

0.021.00

0.670.02

GL28h

7115

360S235

200

6.183.23

8.013.39

78.777.1

20630.5

30.514.0

23.314.0

23.30.97

0.580.02

1.000.51

0.01G

L28h7

115360

S23520

206.18

3.238.01

3.3978.7

77.1258

31.430.5

12.123.3

14.023.3

1.000.64

0.021.00

0.510.01

GL28h

7115

360S235

300

7.663.37

9.963.51

77.675.9

20229.6

29.814.0

23.314.0

23.30.96

0.500.01

1.000.45

0.01G

L28h7

115360

S23530

207.66

3.379.96

3.5177.6

75.9253

30.329.8

12.623.3

14.023.3

1.000.57

0.011.00

0.450.01

GL28h

8115

360S235

100

4.483.00

5.593.16

80.179.1

26129.0

27.914.3

23.916.0

26.71.00

0.750.02

1.000.67

0.02G

L28h8

115360

S23510

204.48

3.005.59

3.1680.1

79.1326

29.327.9

8.3423.9

16.026.7

1.000.80

0.021.00

0.670.02

GL28h

8115

360S235

200

6.183.23

8.013.39

78.777.1

24127.1

26.416.0

26.616.0

26.70.98

0.610.02

1.000.54

0.01G

L28h8

115360

S23520

206.18

3.238.01

3.3978.7

77.1301

27.226.4

12.226.7

16.026.7

1.000.68

0.011.00

0.540.01

GL28h

8115

360S235

300

7.663.37

9.963.51

77.675.9

24226.1

25.516.0

26.616.0

26.70.98

0.550.01

1.000.49

0.01G

L28h8

115360

S23530

207.66

3.379.96

3.5177.6

75.9302

25.825.5

12.726.7

16.026.7

1.000.62

0.011.00

0.490.01


C-30

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

9115

360S235

100

4.483.00

5.593.16

80.179.1

26125.7

24.817.6

29.518.0

30.01.00

0.750.02

1.000.67

0.02G

L28h9

115360

S23510

204.48

3.005.59

3.1680.1

79.1326

26.024.8

10.129.5

18.030.0

1.000.80

0.021.00

0.670.02

GL28h

9115

360S235

200

6.183.23

8.013.39

78.777.1

26624.3

23.218.0

30.018.0

30.00.99

0.640.02

1.000.57

0.01G

L28h9

115360

S23520

206.18

3.238.01

3.3978.7

77.1333

23.823.2

11.730.0

18.030.0

1.000.71

0.011.00

0.570.01

GL28h

9115

360S235

300

7.663.37

9.963.51

77.675.9

27023.1

22.118.0

30.018.0

30.00.99

0.580.01

1.000.52

0.01G

L28h9

115360

S23530

207.66

3.379.96

3.5177.6

75.9337

22.222.1

12.530.0

18.030.0

1.000.67

0.011.00

0.520.01

GL28h

4115

405S235

100

5.583.81

6.974.03

91.290.4

32075.9

73.04.24

7.048.00

13.31.00

0.780.02

1.000.70

0.02G

L28h4

115405

S23510

205.58

3.816.97

4.0391.2

90.4400

76.773.0

2.707.04

8.0013.3

1.000.83

0.021.00

0.700.02

GL28h

4115

405S235

200

7.714.12

10.14.34

90.088.4

22270.9

69.35.73

9.068.00

13.31.00

0.600.02

1.000.51

0.01G

L28h4

115405

S23520

207.71

4.1210.1

4.3490.0

88.4277

71.769.3

5.069.07

8.0013.3

1.000.64

0.021.00

0.510.01

GL28h

4115

405S235

300

9.614.31

12.74.51

88.887.0

16969.0

68.36.16

9.648.00

13.31.00

0.490.02

1.000.41

0.01G

L28h4

115405

S23530

209.61

4.3112.7

4.5188.8

87.0211

69.668.3

5.799.64

8.0013.3

1.000.52

0.021.00

0.410.01

GL28h

5115

405S235

100

5.583.81

6.974.03

91.290.4

32160.7

58.45.42

9.1510.0

16.71.00

0.780.02

1.000.70

0.02G

L28h5

115405

S23510

205.58

3.816.97

4.0391.2

90.4401

61.458.4

3.009.16

10.016.7

1.000.83

0.021.00

0.700.02

GL28h

5115

405S235

200

7.714.12

10.14.34

90.088.4

22256.7

55.47.86

12.410.0

16.71.00

0.600.02

1.000.51

0.01G

L28h5

115405

S23520

207.71

4.1210.1

4.3490.0

88.4277

57.355.4

6.7912.5

10.016.7

1.000.64

0.021.00

0.510.01

GL28h

5115

405S235

300

9.614.31

12.74.51

88.887.0

16955.2

54.68.56

13.410.0

16.71.00

0.490.02

1.000.41

0.01G

L28h5

115405

S23530

209.61

4.3112.7

4.5188.8

87.0211

55.754.6

7.9713.4

10.016.7

1.000.52

0.021.00

0.410.01

GL28h

6115

405S235

100

5.583.81

6.974.03

91.290.4

32050.6

48.66.92

11.812.0

20.01.00

0.780.02

1.000.70

0.02G

L28h6

115405

S23510

205.58

3.816.97

4.0391.2

90.4400

51.148.6

3.4411.8

12.020.0

1.000.83

0.021.00

0.700.02

GL28h

6115

405S235

200

7.714.12

10.14.34

90.088.4

22147.2

46.210.5

16.612.0

20.01.00

0.600.02

1.000.51

0.01G

L28h6

115405

S23520

207.71

4.1210.1

4.3490.0

88.4276

47.846.2

8.9416.6

12.020.0

1.000.64

0.021.00

0.510.01

GL28h

6115

405S235

300

9.614.31

12.74.51

88.887.0

16846.0

45.511.5

17.912.0

20.01.00

0.490.02

1.000.41

0.01G

L28h6

115405

S23530

209.61

4.3112.7

4.5188.8

87.0210

46.445.5

10.717.9

12.020.0

1.000.52

0.021.00

0.410.01

GL28h

7115

405S235

100

5.583.81

6.974.03

91.290.4

32143.4

41.78.61

14.814.0

23.31.00

0.780.02

1.000.70

0.02G

L28h7

115405

S23510

205.58

3.816.97

4.0391.2

90.4401

43.841.7

3.8514.9

14.023.3

1.000.83

0.021.00

0.700.02

GL28h

7115

405S235

200

7.714.12

10.14.34

90.088.4

22140.5

39.613.6

21.514.0

23.31.00

0.600.02

1.000.51

0.01G

L28h7

115405

S23520

207.71

4.1210.1

4.3490.0

88.4277

40.939.6

11.421.5

14.023.3

1.000.64

0.021.00

0.510.01

GL28h

7115

405S235

300

9.614.31

12.74.51

88.887.0

16937.6

39.014.0

23.314.0

23.30.95

0.470.02

1.000.41

0.01G

L28h7

115405

S23530

209.61

4.3112.7

4.5188.8

87.0211

39.839.0

13.823.3

14.023.3

1.000.52

0.021.00

0.410.01


C-31

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

8115

405S235

100

5.583.81

6.974.03

91.290.4

32038.0

36.510.7

18.516.0

26.71.00

0.780.02

1.000.70

0.02G

L28h8

115405

S23510

205.58

3.816.97

4.0391.2

90.4400

38.436.5

4.4718.5

16.026.7

1.000.83

0.021.00

0.700.02

GL28h

8115

405S235

200

7.714.12

10.14.34

90.088.4

22934.6

34.616.0

26.616.0

26.70.97

0.590.02

1.000.52

0.01G

L28h8

115405

S23520

207.71

4.1210.1

4.3490.0

88.4286

35.834.6

13.826.7

16.026.7

1.000.64

0.021.00

0.520.01

GL28h

8115

405S235

300

9.614.31

12.74.51

88.887.0

22533.7

33.916.0

26.616.0

26.70.96

0.510.01

1.000.45

0.01G

L28h8

115405

S23530

209.61

4.3112.7

4.5188.8

87.0281

34.733.9

14.326.7

16.026.7

1.000.57

0.011.00

0.450.01

GL28h

9115

405S235

100

5.583.81

6.974.03

91.290.4

31933.7

32.413.1

22.718.0

30.01.00

0.770.02

1.000.70

0.02G

L28h9

115405

S23510

205.58

3.816.97

4.0391.2

90.4399

34.132.4

5.2022.7

18.030.0

1.000.83

0.021.00

0.700.02

GL28h

9115

405S235

200

7.714.12

10.14.34

90.088.4

26331.3

30.718.0

30.018.0

30.00.98

0.620.02

1.000.54

0.01G

L28h9

115405

S23520

207.71

4.1210.1

4.3490.0

88.4329

31.830.7

13.830.0

18.030.0

1.000.68

0.021.00

0.540.01

GL28h

9115

405S235

300

9.614.31

12.74.51

88.887.0

26330.2

29.718.0

30.018.0

30.00.97

0.550.01

1.000.48

0.01G

L28h9

115405

S23530

209.61

4.3112.7

4.5188.8

87.0329

30.329.7

14.530.0

18.030.0

1.000.62

0.011.00

0.480.01

GL28h

4115

450S235

100

6.754.71

8.434.99

102102

38496.6

92.53.76

6.318.00

13.31.00

0.800.02

1.000.73

0.02G

L28h4

115450

S23510

206.75

4.718.43

4.99102

102418

97.392.1

3.237.34

8.0013.3

1.000.82

0.021.00

0.700.02

GL28h

4115

450S235

200

9.335.11

12.35.41

10199.7

26789.6

87.25.34

8.488.00

13.31.00

0.620.02

1.000.53

0.02G

L28h4

115450

S23520

209.33

5.1112.3

5.41101

99.7334

90.787.2

4.638.48

8.0013.3

1.000.66

0.021.00

0.530.02

GL28h

4115

450S235

300

11.75.36

15.65.63

10098.2

20786.8

85.65.79

9.088.00

13.31.00

0.510.02

1.000.43

0.01G

L28h4

115450

S23530

2011.7

5.3615.6

5.63100

98.2259

87.785.6

5.389.08

8.0013.3

1.000.54

0.021.00

0.430.01

GL28h

5115

450S235

100

6.754.71

8.434.99

102102

38377.3

74.04.55

7.8410.0

16.71.00

0.800.02

1.000.73

0.02G

L28h5

115450

S23510

206.75

4.718.43

4.99102

102418

77.873.7

3.689.42

10.016.7

1.000.82

0.021.00

0.700.02

GL28h

5115

450S235

200

9.335.11

12.35.41

10199.7

26771.7

69.87.10

11.310.0

16.71.00

0.620.02

1.000.53

0.02G

L28h5

115450

S23520

209.33

5.1112.3

5.41101

99.7334

72.569.8

5.9711.3

10.016.7

1.000.66

0.021.00

0.530.02

GL28h

5115

450S235

300

11.75.36

15.65.63

10098.2

20569.4

68.57.86

12.310.0

16.71.00

0.510.02

1.000.42

0.01G

L28h5

115450

S23530

2011.7

5.3615.6

5.63100

98.2257

70.168.5

7.2212.3

10.016.7

1.000.54

0.021.00

0.420.01

GL28h

6115

450S235

100

6.754.71

8.434.99

102102

38364.4

61.75.50

9.6712.0

20.01.00

0.800.02

1.000.73

0.02G

L28h6

115450

S23510

206.75

4.718.43

4.99102

102418

64.961.4

4.2512.0

12.020.0

1.000.82

0.021.00

0.700.02

GL28h

6115

450S235

200

9.335.11

12.35.41

10199.7

26759.7

58.19.24

14.812.0

20.01.00

0.620.02

1.000.53

0.02G

L28h6

115450

S23520

209.33

5.1112.3

5.41101

99.7333

60.558.1

7.6314.8

12.020.0

1.000.66

0.021.00

0.530.02

GL28h

6115

450S235

300

11.75.36

15.65.63

10098.2

20657.9

57.110.4

16.212.0

20.01.00

0.510.02

1.000.42

0.01G

L28h6

115450

S23530

2011.7

5.3615.6

5.63100

98.2257

58.557.1

9.4416.2

12.020.0

1.000.54

0.021.00

0.420.01


C-32

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

7115

450S235

100

6.754.71

8.434.99

102102

38455.2

52.96.57

11.814.0

23.31.00

0.800.02

1.000.73

0.02G

L28h7

115450

S23510

206.75

4.718.43

4.99102

102418

55.652.6

4.9115.0

14.023.3

1.000.82

0.021.00

0.700.02

GL28h

7115

450S235

200

9.335.11

12.35.41

10199.7

26751.2

49.811.8

18.814.0

23.31.00

0.620.02

1.000.53

0.02G

L28h7

115450

S23520

209.33

5.1112.3

5.41101

99.7334

51.849.8

9.5418.8

14.023.3

1.000.66

0.021.00

0.530.02

GL28h

7115

450S235

300

11.75.36

15.65.63

10098.2

20749.6

48.913.3

20.814.0

23.31.00

0.510.02

1.000.43

0.01G

L28h7

115450

S23530

2011.7

5.3615.6

5.63100

98.2259

50.148.9

12.020.8

14.023.3

1.000.54

0.021.00

0.430.01

GL28h

8115

450S235

100

6.754.71

8.434.99

102102

38248.3

46.37.98

14.416.0

26.71.00

0.800.02

1.000.73

0.02G

L28h8

115450

S23510

206.75

4.718.43

4.99102

102418

48.646.1

5.6718.4

16.026.7

1.000.82

0.021.00

0.700.02

GL28h

8115

450S235

200

9.335.11

12.35.41

10199.7

26644.8

43.614.7

23.616.0

26.71.00

0.620.02

1.000.53

0.02G

L28h8

115450

S23520

209.33

5.1112.3

5.41101

99.7333

45.343.6

11.823.6

16.026.7

1.000.66

0.021.00

0.530.02

GL28h

8115

450S235

300

11.75.36

15.65.63

10098.2

20542.0

42.816.0

26.216.0

26.70.96

0.490.02

1.000.42

0.01G

L28h8

115450

S23530

2011.7

5.3615.6

5.63100

98.2257

43.842.8

15.126.2

16.026.7

1.000.54

0.021.00

0.420.01

GL28h

9115

450S235

100

6.754.71

8.434.99

102102

38242.9

41.19.46

17.318.0

30.01.00

0.800.02

1.000.73

0.02G

L28h9

115450

S23510

206.75

4.718.43

4.99102

102418

43.240.9

6.5422.3

18.030.0

1.000.82

0.021.00

0.700.02

GL28h

9115

450S235

200

9.335.11

12.35.41

10199.7

26739.8

38.818.0

28.918.0

30.01.00

0.620.02

1.000.53

0.02G

L28h9

115450

S23520

209.33

5.1112.3

5.41101

99.7333

40.338.8

14.428.9

18.030.0

1.000.66

0.021.00

0.530.02

GL28h

9115

450S235

300

11.75.36

15.65.63

10098.2

24737.7

37.918.0

30.018.0

30.00.96

0.520.02

1.000.45

0.01G

L28h9

115450

S23530

2011.7

5.3615.6

5.63100

98.2308

39.037.9

16.130.0

18.030.0

1.000.58

0.021.00

0.450.01

GL28h

4115

495S235

100

8.015.69

9.976.04

113113

418119

1143.86

6.458.00

13.31.00

0.810.02

1.000.74

0.02G

L28h4

115495

S23510

208.01

5.699.97

6.04113

113418

119113

3.867.82

8.0013.3

1.000.81

0.021.00

0.690.02

GL28h

4115

495S235

200

11.06.20

14.56.57

113111

316111

1075.07

8.088.00

13.31.00

0.640.02

1.000.56

0.02G

L28h4

115495

S23520

2011.0

6.2014.5

6.57113

111395

112107

4.328.08

8.0013.3

1.000.69

0.021.00

0.560.02

GL28h

4115

495S235

300

13.86.51

18.66.86

111109

246107

1055.54

8.728.00

13.31.00

0.530.02

1.000.44

0.01G

L28h4

115495

S23530

2013.8

6.5118.6

6.86111

109307

108105

5.138.72

8.0013.3

1.000.57

0.021.00

0.440.01

GL28h

5115

495S235

100

8.015.69

9.976.04

113113

41895.2

91.64.53

7.7610.0

16.71.00

0.810.02

1.000.74

0.02G

L28h5

115495

S23510

208.01

5.699.97

6.04113

113418

95.290.0

4.539.94

10.016.7

1.000.81

0.021.00

0.690.02

GL28h

5115

495S235

200

11.06.20

14.56.57

113111

31688.6

85.96.51

10.410.0

16.71.00

0.640.02

1.000.56

0.02G

L28h5

115495

S23520

2011.0

6.2014.5

6.57113

111395

89.785.9

5.3410.4

10.016.7

1.000.69

0.021.00

0.560.02

GL28h

5115

495S235

300

13.86.51

18.66.86

111109

24785.5

84.07.30

11.510.0

16.71.00

0.530.02

1.000.44

0.01G

L28h5

115495

S23530

2013.8

6.5118.6

6.86111

109308

86.484.0

6.6311.5

10.016.7

1.000.57

0.021.00

0.440.01


C-33

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

V.Ed inst

V.Ed fin

P.preP.Ed inst

P.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

6115

495S235

100

8.015.69

9.976.04

113113

41879.4

76.35.34

9.3512.0

20.01.00

0.810.02

1.000.74

0.02G

L28h6

115495

S23510

208.01

5.699.97

6.04113

113418

79.475.0

5.3412.5

12.020.0

1.000.81

0.021.00

0.690.02

GL28h

6115

495S235

200

11.06.20

14.56.57

113111

31773.9

71.68.26

13.312.0

20.01.00

0.650.02

1.000.56

0.02G

L28h6

115495

S23520

2011.0

6.2014.5

6.57113

111396

74.871.6

6.5513.3

12.020.0

1.000.69

0.021.00

0.560.02

GL28h

6115

495S235

300

13.86.51

18.66.86

111109

24671.2

70.09.47

14.912.0

20.01.00

0.530.02

1.000.44

0.01G

L28h6

115495

S23530

2013.8

6.5118.6

6.86111

109307

72.070.0

8.4914.9

12.020.0

1.000.57

0.021.00

0.440.01

GL28h

7115

495S235

100

8.015.69

9.976.04

113113

41868.0

65.46.30

11.214.0

23.31.00

0.810.02

1.000.74

0.02G

L28h7

115495

S23510

208.01

5.699.97

6.04113

113418

68.064.3

6.3015.6

14.023.3

1.000.81

0.021.00

0.690.02

GL28h

7115

495S235

200

11.06.20

14.56.57

113111

31663.3

61.410.4

16.814.0

23.31.00

0.640.02

1.000.56

0.02G

L28h7

115495

S23520

2011.0

6.2014.5

6.57113

111395

64.161.4

8.0316.8

14.023.3

1.000.69

0.021.00

0.560.02

GL28h

7115

495S235

300

13.86.51

18.66.86

111109

24761.1

60.012.0

18.914.0

23.31.00

0.530.02

1.000.44

0.01G

L28h7

115495

S23530

2013.8

6.5118.6

6.86111

109308

61.760.0

10.718.9

14.023.3

1.000.57

0.021.00

0.440.01

GL28h

8115

495S235

100

8.015.69

9.976.04

113113

41859.5

57.27.41

13.416.0

26.71.00

0.810.02

1.000.74

0.02G

L28h8

115495

S23510

208.01

5.699.97

6.04113

113418

59.556.3

7.4119.1

16.026.7

1.000.81

0.021.00

0.690.02

GL28h

8115

495S235

200

11.06.20

14.56.57

113111

31555.4

53.712.8

20.716.0

26.71.00

0.640.02

1.000.56

0.02G

L28h8

115495

S23520

2011.0

6.2014.5

6.57113

111393

56.153.7

9.8020.8

16.026.7

1.000.69

0.021.00

0.560.02

GL28h

8115

495S235

300

13.86.51

18.66.86

111109

24553.4

52.515.0

23.616.0

26.71.00

0.530.02

1.000.44

0.01G

L28h8

115495

S23530

2013.8

6.5118.6

6.86111

109306

54.052.5

13.223.6

16.026.7

1.000.57

0.021.00

0.440.01

GL28h

9115

495S235

100

8.015.69

9.976.04

113113

41852.9

50.98.67

15.918.0

30.01.00

0.810.02

1.000.74

0.02G

L28h9

115495

S23510

208.01

5.699.97

6.04113

113418

52.950.0

8.6723.1

18.030.0

1.000.81

0.021.00

0.690.02

GL28h

9115

495S235

200

11.06.20

14.56.57

113111

31549.2

47.715.6

25.218.0

30.01.00

0.640.02

1.000.56

0.02G

L28h9

115495

S23520

2011.0

6.2014.5

6.57113

111393

49.847.7

11.725.3

18.030.0

1.000.69

0.021.00

0.560.02

GL28h

9115

495S235

300

13.86.51

18.66.86

111109

24446.9

46.718.0

28.918.0

30.00.99

0.520.02

1.000.44

0.01G

L28h9

115495

S23530

2013.8

6.5118.6

6.86111

109305

48.046.7

16.128.9

18.030.0

1.000.56

0.021.00

0.440.01


C-34

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

ω inst

ω fin

ω inst max

ω fin max


mm³ E+6

mm³ E+6

mm³ E+6

kN/m kN/m kN/m kN/m mm mm mm mm

GL24h 2 65 225 0 0.548 0.548 0.548 0.548 12.6 12.6 11.8 12.3 4.00 6.67 4.00 6.67GL24h 2.5 65 225 0 0.548 0.548 0.548 0.548 10.1 10.1 6.37 6.64 5.00 8.33 5.00 8.33GL24h 3 65 225 0 0.548 0.548 0.548 0.548 8.42 8.42 3.80 3.95 6.00 10.0 6.00 10.0GL24h 3.5 65 225 0 0.548 0.548 0.548 0.548 7.22 7.22 2.43 2.54 7.00 11.7 7.00 11.7GL24h 4 65 225 0 0.548 0.548 0.548 0.548 6.32 6.32 1.65 1.72 8.00 13.3 8.00 13.3GL24h 4.5 65 225 0 0.548 0.548 0.548 0.548 5.62 5.62 1.17 1.22 9.00 15.0 9.00 15.0GL24h 5 65 225 0 0.548 0.548 0.548 0.548 5.05 5.05 0.857 0.893 10.0 16.7 10.0 16.7GL24h 5.5 65 225 0 0.548 0.548 0.548 0.548 4.59 4.59 0.647 0.674 11.0 18.3 11.0 18.3GL24h 2 65 270 0 0.790 0.790 0.790 0.790 15.2 15.2 19.2 19.7 4.00 6.56 4.00 6.67GL24h 2.5 65 270 0 0.790 0.790 0.790 0.790 12.1 12.1 10.6 11.0 5.00 8.33 5.00 8.33GL24h 3 65 270 0 0.790 0.790 0.790 0.790 10.1 10.1 6.37 6.64 6.00 10.0 6.00 10.0GL24h 3.5 65 270 0 0.790 0.790 0.790 0.790 8.66 8.66 4.12 4.29 7.00 11.7 7.00 11.7GL24h 4 65 270 0 0.790 0.790 0.790 0.790 7.58 7.58 2.80 2.92 8.00 13.3 8.00 13.3GL24h 4.5 65 270 0 0.790 0.790 0.790 0.790 6.74 6.74 1.99 2.08 9.00 15.0 9.00 15.0GL24h 5 65 270 0 0.790 0.790 0.790 0.790 6.07 6.07 1.46 1.53 10.0 16.7 10.0 16.7GL24h 5.5 65 270 0 0.790 0.790 0.790 0.790 5.51 5.51 1.11 1.15 11.0 18.3 11.0 18.3GL24h 6 65 270 0 0.790 0.790 0.790 0.790 5.05 5.05 0.857 0.893 12.0 20.0 12.0 20.0GL24h 2 65 315 0 1.07 1.07 1.07 1.07 17.7 17.7 26.4 26.4 3.70 5.92 4.00 6.67GL24h 2.5 65 315 0 1.07 1.07 1.07 1.07 14.2 14.2 16.0 16.7 5.00 8.33 5.00 8.33GL24h 3 65 315 0 1.07 1.07 1.07 1.07 11.8 11.8 9.78 10.2 6.00 10.0 6.00 10.0GL24h 3.5 65 315 0 1.07 1.07 1.07 1.07 10.1 10.1 6.37 6.64 7.00 11.7 7.00 11.7GL24h 4 65 315 0 1.07 1.07 1.07 1.07 8.85 8.85 4.36 4.55 8.00 13.3 8.00 13.3GL24h 4.5 65 315 0 1.07 1.07 1.07 1.07 7.86 7.86 3.11 3.24 9.00 15.0 9.00 15.0GL24h 5 65 315 0 1.07 1.07 1.07 1.07 7.08 7.08 2.30 2.39 10.0 16.7 10.0 16.7GL24h 5.5 65 315 0 1.07 1.07 1.07 1.07 6.43 6.43 1.74 1.81 11.0 18.3 11.0 18.3GL24h 6 65 315 0 1.07 1.07 1.07 1.07 5.90 5.90 1.35 1.40 12.0 20.0 12.0 20.0GL24h 6.5 65 315 0 1.07 1.07 1.07 1.07 5.44 5.44 1.07 1.11 13.0 21.7 13.0 21.7GL24h 7 65 315 0 1.07 1.07 1.07 1.07 5.05 5.05 0.857 0.893 14.0 23.3 14.0 23.3GL28h 4 90 225 0 0.759 0.759 0.759 0.759 9.72 9.72 2.48 2.59 8.00 13.3 8.00 13.3GL28h 5 90 225 0 0.759 0.759 0.759 0.759 7.78 7.78 1.29 1.34 10.0 16.7 10.0 16.7GL28h 6 90 225 0 0.759 0.759 0.759 0.759 6.48 6.48 0.752 0.783 12.0 20.0 12.0 20.0GL28h 7 90 225 0 0.759 0.759 0.759 0.759 5.55 5.55 0.476 0.496 14.0 23.3 14.0 23.3GL28h 4 90 270 0 1.09 1.09 1.09 1.09 11.7 11.7 4.22 4.39 8.00 13.3 8.00 13.3GL28h 5 90 270 0 1.09 1.09 1.09 1.09 9.33 9.33 2.20 2.29 10.0 16.7 10.0 16.7GL28h 6 90 270 0 1.09 1.09 1.09 1.09 7.78 7.78 1.29 1.34 12.0 20.0 12.0 20.0GL28h 7 90 270 0 1.09 1.09 1.09 1.09 6.67 6.67 0.817 0.851 14.0 23.3 14.0 23.3GL28h 8 90 270 0 1.09 1.09 1.09 1.09 5.83 5.83 0.550 0.573 16.0 26.7 16.0 26.7GL28h 4 90 315 0 1.49 1.49 1.49 1.49 13.6 13.6 6.56 6.84 8.00 13.3 8.00 13.3GL28h 5 90 315 0 1.49 1.49 1.49 1.49 10.9 10.9 3.45 3.60 10.0 16.7 10.0 16.7GL28h 6 90 315 0 1.49 1.49 1.49 1.49 9.07 9.07 2.03 2.11 12.0 20.0 12.0 20.0GL28h 7 90 315 0 1.49 1.49 1.49 1.49 7.78 7.78 1.29 1.34 14.0 23.3 14.0 23.3GL28h 8 90 315 0 1.49 1.49 1.49 1.49 6.80 6.80 0.869 0.905 16.0 26.7 16.0 26.7GL28h 9 90 315 0 1.49 1.49 1.49 1.49 6.05 6.05 0.613 0.638 18.0 30.0 18.0 30.0GL28h 4 90 360 0 1.94 1.94 1.94 1.94 15.6 15.6 9.58 9.98 8.00 13.3 8.00 13.3GL28h 5 90 360 0 1.94 1.94 1.94 1.94 12.4 12.4 5.08 5.29 10.0 16.7 10.0 16.7GL28h 6 90 360 0 1.94 1.94 1.94 1.94 10.4 10.4 3.00 3.12 12.0 20.0 12.0 20.0GL28h 7 90 360 0 1.94 1.94 1.94 1.94 8.89 8.89 1.91 1.99 14.0 23.3 14.0 23.3

Appendix C, Raw data Uniformly distributed load Beam type 1

C-35

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

ω inst

ω fin

ω inst max

ω fin max


mm³ E+6

mm³ E+6

mm³ E+6


GL28h 8 90 360 0 1.94 1.94 1.94 1.94 7.78 7.78 1.29 1.34 16.0 26.7 16.0 26.7GL28h 9 90 360 0 1.94 1.94 1.94 1.94 6.91 6.91 0.910 0.948 18.0 30.0 18.0 30.0GL28h 10 90 360 0 1.94 1.94 1.94 1.94 6.22 6.22 0.666 0.694 20.0 33.3 20.0 33.3GL28h 11 90 360 0 1.94 1.94 1.94 1.94 5.66 5.66 0.502 0.523 22.0 36.7 22.0 36.7GL28h 4 90 405 0 2.46 2.46 2.46 2.46 17.5 17.5 13.3 13.9 8.00 13.3 8.00 13.3GL28h 5 90 405 0 2.46 2.46 2.46 2.46 14.0 14.0 7.11 7.41 10.0 16.7 10.0 16.7GL28h 6 90 405 0 2.46 2.46 2.46 2.46 11.7 11.7 4.22 4.39 12.0 20.0 12.0 20.0GL28h 7 90 405 0 2.46 2.46 2.46 2.46 10.0 10.0 2.69 2.81 14.0 23.3 14.0 23.3GL28h 8 90 405 0 2.46 2.46 2.46 2.46 8.75 8.75 1.82 1.90 16.0 26.7 16.0 26.7GL28h 9 90 405 0 2.46 2.46 2.46 2.46 7.78 7.78 1.29 1.34 18.0 30.0 18.0 30.0GL28h 10 90 405 0 2.46 2.46 2.46 2.46 7.00 7.00 0.944 0.984 20.0 33.3 20.0 33.3GL28h 11 90 405 0 2.46 2.46 2.46 2.46 6.36 6.36 0.712 0.742 22.0 36.7 22.0 36.7GL28h 4 90 450 0 3.04 3.04 3.04 3.04 19.4 19.4 17.8 18.5 8.00 13.3 8.00 13.3GL28h 5 90 450 0 3.04 3.04 3.04 3.04 15.6 15.6 9.58 9.98 10.0 16.7 10.0 16.7GL28h 6 90 450 0 3.04 3.04 3.04 3.04 13.0 13.0 5.71 5.95 12.0 20.0 12.0 20.0GL28h 7 90 450 0 3.04 3.04 3.04 3.04 11.1 11.1 3.66 3.81 14.0 23.3 14.0 23.3GL28h 8 90 450 0 3.04 3.04 3.04 3.04 9.72 9.72 2.48 2.59 16.0 26.7 16.0 26.7GL28h 9 90 450 0 3.04 3.04 3.04 3.04 8.64 8.64 1.76 1.83 18.0 30.0 18.0 30.0GL28h 10 90 450 0 3.04 3.04 3.04 3.04 7.78 7.78 1.29 1.34 20.0 33.3 20.0 33.3GL28h 11 90 450 0 3.04 3.04 3.04 3.04 7.07 7.07 0.973 1.01 22.0 36.7 22.0 36.7GL28h 4 90 495 0 3.68 3.68 3.68 3.68 21.4 21.4 23.0 23.9 8.00 13.3 8.00 13.3GL28h 5 90 495 0 3.68 3.68 3.68 3.68 17.1 17.1 12.5 13.0 10.0 16.7 10.0 16.7GL28h 6 90 495 0 3.68 3.68 3.68 3.68 14.3 14.3 7.49 7.80 12.0 20.0 12.0 20.0GL28h 7 90 495 0 3.68 3.68 3.68 3.68 12.2 12.2 4.82 5.02 14.0 23.3 14.0 23.3GL28h 8 90 495 0 3.68 3.68 3.68 3.68 10.7 10.7 3.28 3.41 16.0 26.7 16.0 26.7GL28h 9 90 495 0 3.68 3.68 3.68 3.68 9.50 9.50 2.32 2.42 18.0 30.0 18.0 30.0GL28h 10 90 495 0 3.68 3.68 3.68 3.68 8.55 8.55 1.71 1.78 20.0 33.3 20.0 33.3GL28h 11 90 495 0 3.68 3.68 3.68 3.68 7.78 7.78 1.29 1.34 22.0 36.7 22.0 36.7GL28h 4 115 225 0 0.970 0.970 0.970 0.970 12.4 12.4 3.17 3.30 8.00 13.3 8.00 13.3GL28h 5 115 225 0 0.970 0.970 0.970 0.970 9.94 9.94 1.65 1.72 10.0 16.7 10.0 16.7GL28h 6 115 225 0 0.970 0.970 0.970 0.970 8.28 8.28 0.961 1.00 12.0 20.0 12.0 20.0GL28h 7 115 225 0 0.970 0.970 0.970 0.970 7.10 7.10 0.608 0.633 14.0 23.3 14.0 23.3GL28h 4 115 270 0 1.40 1.40 1.40 1.40 14.9 14.9 5.39 5.61 8.00 13.3 8.00 13.3GL28h 5 115 270 0 1.40 1.40 1.40 1.40 11.9 11.9 2.81 2.93 10.0 16.7 10.0 16.7GL28h 6 115 270 0 1.40 1.40 1.40 1.40 9.94 9.94 1.65 1.72 12.0 20.0 12.0 20.0GL28h 7 115 270 0 1.40 1.40 1.40 1.40 8.52 8.52 1.04 1.09 14.0 23.3 14.0 23.3GL28h 8 115 270 0 1.40 1.40 1.40 1.40 7.45 7.45 0.703 0.732 16.0 26.7 16.0 26.7GL28h 4 115 315 0 1.90 1.90 1.90 1.90 17.4 17.4 8.39 8.74 8.00 13.3 8.00 13.3GL28h 5 115 315 0 1.90 1.90 1.90 1.90 13.9 13.9 4.41 4.60 10.0 16.7 10.0 16.7GL28h 6 115 315 0 1.90 1.90 1.90 1.90 11.6 11.6 2.59 2.70 12.0 20.0 12.0 20.0GL28h 7 115 315 0 1.90 1.90 1.90 1.90 9.94 9.94 1.65 1.72 14.0 23.3 14.0 23.3GL28h 8 115 315 0 1.90 1.90 1.90 1.90 8.69 8.69 1.11 1.16 16.0 26.7 16.0 26.7GL28h 9 115 315 0 1.90 1.90 1.90 1.90 7.73 7.73 0.783 0.815 18.0 30.0 18.0 30.0GL28h 4 115 360 0 2.48 2.48 2.48 2.48 19.9 19.9 12.2 12.7 8.00 13.3 8.00 13.3GL28h 5 115 360 0 2.48 2.48 2.48 2.48 15.9 15.9 6.49 6.76 10.0 16.7 10.0 16.7GL28h 6 115 360 0 2.48 2.48 2.48 2.48 13.2 13.2 3.83 3.99 12.0 20.0 12.0 20.0GL28h 7 115 360 0 2.48 2.48 2.48 2.48 11.4 11.4 2.44 2.54 14.0 23.3 14.0 23.3


C-36

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin

q.Ed inst

q.Ed fin

ω inst

ω fin

ω inst max

ω fin max


mm³ E+6

mm³ E+6

mm³ E+6


GL28h 8 115 360 0 2.48 2.48 2.48 2.48 9.94 9.94 1.65 1.72 16.0 26.7 16.0 26.7GL28h 9 115 360 0 2.48 2.48 2.48 2.48 8.83 8.83 1.16 1.21 18.0 30.0 18.0 30.0GL28h 4 115 405 0 3.14 3.14 3.14 3.14 22.4 22.4 17.0 17.7 8.00 13.3 8.00 13.3GL28h 5 115 405 0 3.14 3.14 3.14 3.14 17.9 17.9 9.09 9.46 10.0 16.7 10.0 16.7GL28h 6 115 405 0 3.14 3.14 3.14 3.14 14.9 14.9 5.39 5.61 12.0 20.0 12.0 20.0GL28h 7 115 405 0 3.14 3.14 3.14 3.14 12.8 12.8 3.44 3.59 14.0 23.3 14.0 23.3GL28h 8 115 405 0 3.14 3.14 3.14 3.14 11.2 11.2 2.33 2.43 16.0 26.7 16.0 26.7GL28h 9 115 405 0 3.14 3.14 3.14 3.14 9.94 9.94 1.65 1.72 18.0 30.0 18.0 30.0GL28h 4 115 450 0 3.88 3.88 3.88 3.88 24.8 24.8 22.7 23.6 8.00 13.3 8.00 13.3GL28h 5 115 450 0 3.88 3.88 3.88 3.88 19.9 19.9 12.2 12.7 10.0 16.7 10.0 16.7GL28h 6 115 450 0 3.88 3.88 3.88 3.88 16.6 16.6 7.29 7.60 12.0 20.0 12.0 20.0GL28h 7 115 450 0 3.88 3.88 3.88 3.88 14.2 14.2 4.68 4.87 14.0 23.3 14.0 23.3GL28h 8 115 450 0 3.88 3.88 3.88 3.88 12.4 12.4 3.17 3.30 16.0 26.7 16.0 26.7GL28h 9 115 450 0 3.88 3.88 3.88 3.88 11.0 11.0 2.25 2.34 18.0 30.0 18.0 30.0GL28h 4 115 495 0 4.70 4.70 4.70 4.70 27.3 27.3 29.3 30.6 8.00 13.3 8.00 13.3GL28h 5 115 495 0 4.70 4.70 4.70 4.70 21.9 21.9 16.0 16.6 10.0 16.7 10.0 16.7GL28h 6 115 495 0 4.70 4.70 4.70 4.70 18.2 18.2 9.57 9.97 12.0 20.0 12.0 20.0GL28h 7 115 495 0 4.70 4.70 4.70 4.70 15.6 15.6 6.16 6.42 14.0 23.3 14.0 23.3GL28h 8 115 495 0 4.70 4.70 4.70 4.70 13.7 13.7 4.19 4.36 16.0 26.7 16.0 26.7GL28h 9 115 495 0 4.70 4.70 4.70 4.70 12.1 12.1 2.97 3.09 18.0 30.0 18.0 30.0


C-37

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³

E+6kN/m kN/m N kN/m kN/m mm mm mm mm

GL24h 2 65 225 10 0.950 0.624 1.14 0.644 11.9 11.6 0 15.4 16.3 4.00 6.31 4.00 6.67GL24h 2 65 225 20 1.24 0.655 1.50 0.675 11.5 11.3 0 16.6 17.1 3.88 5.99 4.00 6.67GL24h 2 65 225 30 1.46 0.678 1.76 0.698 11.4 11.2 0 17.2 17.7 3.77 5.86 4.00 6.67GL24h 2.5 65 225 10 0.950 0.624 1.14 0.644 9.53 9.30 0 8.45 9.51 5.00 8.33 5.00 8.33GL24h 2.5 65 225 20 1.24 0.655 1.50 0.675 9.23 9.01 0 9.45 10.6 5.00 8.33 5.00 8.33GL24h 2.5 65 225 30 1.46 0.678 1.76 0.698 9.13 8.99 0 10.1 11.2 5.00 8.33 5.00 8.33GL24h 3 65 225 10 0.950 0.624 1.14 0.644 7.94 7.75 0 5.09 5.74 6.00 10.0 6.00 10.0GL24h 3 65 225 20 1.24 0.655 1.50 0.675 7.70 7.51 0 5.71 6.41 6.00 10.0 6.00 10.0GL24h 3 65 225 30 1.46 0.678 1.76 0.698 7.61 7.49 0 6.13 6.83 6.00 10.0 6.00 10.0GL24h 3.5 65 225 10 0.950 0.624 1.14 0.644 6.81 6.64 0 3.28 3.71 7.00 11.7 7.00 11.7GL24h 3.5 65 225 20 1.24 0.655 1.50 0.675 6.60 6.44 0 3.70 4.16 7.00 11.7 7.00 11.7GL24h 3.5 65 225 30 1.46 0.678 1.76 0.698 6.52 6.42 0 3.97 4.44 7.00 11.7 7.00 11.7GL24h 4 65 225 10 0.950 0.624 1.14 0.644 5.96 5.81 0 2.23 2.53 8.00 13.3 8.00 13.3GL24h 4 65 225 20 1.24 0.655 1.50 0.675 5.77 5.63 0 2.52 2.84 8.00 13.3 8.00 13.3GL24h 4 65 225 30 1.46 0.678 1.76 0.698 5.71 5.62 0 2.71 3.04 8.00 13.3 8.00 13.3GL24h 4.5 65 225 10 0.950 0.624 1.14 0.644 5.30 5.17 0 1.59 1.80 9.00 15.0 9.00 15.0GL24h 4.5 65 225 20 1.24 0.655 1.50 0.675 5.13 5.01 0 1.79 2.02 9.00 15.0 9.00 15.0GL24h 4.5 65 225 30 1.46 0.678 1.76 0.698 5.07 4.99 0 1.93 2.17 9.00 15.0 9.00 15.0GL24h 5 65 225 10 0.950 0.624 1.14 0.644 4.77 4.65 0 1.17 1.32 10.0 16.7 10.0 16.7GL24h 5 65 225 20 1.24 0.655 1.50 0.675 4.62 4.51 0 1.32 1.49 10.0 16.7 10.0 16.7GL24h 5 65 225 30 1.46 0.678 1.76 0.698 4.57 4.49 0 1.42 1.60 10.0 16.7 10.0 16.7GL24h 5.5 65 225 10 0.950 0.624 1.14 0.644 4.33 4.23 0 0.881 1.00 11.0 18.3 11.0 18.3GL24h 5.5 65 225 20 1.24 0.655 1.50 0.675 4.20 4.10 0 0.999 1.13 11.0 18.3 11.0 18.3GL24h 5.5 65 225 30 1.46 0.678 1.76 0.698 4.15 4.09 0 1.08 1.21 11.0 18.3 11.0 18.3GL24h 2 65 270 10 1.39 0.924 1.70 0.962 14.7 14.5 0 23.0 24.0 3.67 5.68 4.00 6.67GL24h 2 65 270 20 1.87 0.980 2.33 1.02 14.4 14.0 0 24.5 25.4 3.50 5.42 4.00 6.67GL24h 2 65 270 30 2.25 1.02 2.81 1.05 14.1 13.9 0 25.4 26.2 3.41 5.31 4.00 6.67GL24h 2.5 65 270 10 1.39 0.924 1.70 0.962 11.8 11.6 0 14.1 15.4 5.00 8.01 5.00 8.33GL24h 2.5 65 270 20 1.87 0.980 2.33 1.02 11.5 11.2 0 15.7 16.2 4.92 7.57 5.00 8.33GL24h 2.5 65 270 30 2.25 1.02 2.81 1.05 11.3 11.1 0 16.2 16.8 4.77 7.36 5.00 8.33GL24h 3 65 270 10 1.39 0.924 1.70 0.962 9.82 9.64 0 8.63 9.82 6.00 10.0 6.00 10.0GL24h 3 65 270 20 1.87 0.980 2.33 1.02 9.57 9.35 0 9.79 11.1 6.00 10.0 6.00 10.0GL24h 3 65 270 30 2.25 1.02 2.81 1.05 9.43 9.25 0 10.5 11.7 6.00 9.87 6.00 10.0GL24h 3.5 65 270 10 1.39 0.924 1.70 0.962 8.42 8.26 0 5.63 6.42 7.00 11.7 7.00 11.7GL24h 3.5 65 270 20 1.87 0.980 2.33 1.02 8.20 8.01 0 6.41 7.28 7.00 11.7 7.00 11.7GL24h 3.5 65 270 30 2.25 1.02 2.81 1.05 8.08 7.93 0 6.92 7.78 7.00 11.7 7.00 11.7GL24h 4 65 270 10 1.39 0.924 1.70 0.962 7.37 7.23 0 3.86 4.41 8.00 13.3 8.00 13.3GL24h 4 65 270 20 1.87 0.980 2.33 1.02 7.18 7.01 0 4.41 5.02 8.00 13.3 8.00 13.3GL24h 4 65 270 30 2.25 1.02 2.81 1.05 7.07 6.94 0 4.77 5.38 8.00 13.3 8.00 13.3GL24h 4.5 65 270 10 1.39 0.924 1.70 0.962 6.55 6.42 0 2.75 3.15 9.00 15.0 9.00 15.0GL24h 4.5 65 270 20 1.87 0.980 2.33 1.02 6.38 6.23 0 3.16 3.60 9.00 15.0 9.00 15.0GL24h 4.5 65 270 30 2.25 1.02 2.81 1.05 6.29 6.16 0 3.42 3.86 9.00 15.0 9.00 15.0GL24h 5 65 270 10 1.39 0.924 1.70 0.962 5.89 5.78 0 2.03 2.33 10.0 16.7 10.0 16.7GL24h 5 65 270 20 1.87 0.980 2.33 1.02 5.74 5.61 0 2.33 2.66 10.0 16.7 10.0 16.7GL24h 5 65 270 30 2.25 1.02 2.81 1.05 5.66 5.55 0 2.53 2.86 10.0 16.7 10.0 16.7GL24h 5.5 65 270 10 1.39 0.924 1.70 0.962 5.36 5.26 0 1.54 1.77 11.0 18.3 11.0 18.3GL24h 5.5 65 270 20 1.87 0.980 2.33 1.02 5.22 5.10 0 1.77 2.02 11.0 18.3 11.0 18.3



C-38

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³



GL24h 5.5 65 270 30 2.25 1.02 2.81 1.05 5.14 5.04 0 1.92 2.17 11.0 18.3 11.0 18.3GL24h 6 65 270 10 1.39 0.924 1.70 0.962 4.91 4.82 0 1.19 1.37 12.0 20.0 12.0 20.0GL24h 6 65 270 20 1.87 0.980 2.33 1.02 4.78 4.67 0 1.37 1.57 12.0 20.0 12.0 20.0GL24h 6 65 270 30 2.25 1.02 2.81 1.05 4.72 4.62 0 1.49 1.69 12.0 20.0 12.0 20.0GL24h 2 65 315 10 1.89 1.28 2.34 1.34 17.6 17.3 0 31.4 32.9 3.41 5.31 4.00 6.67GL24h 2 65 315 20 2.57 1.37 3.28 1.43 17.2 16.8 0 33.6 35.0 3.28 5.12 4.00 6.67GL24h 2 65 315 30 3.15 1.42 4.02 1.48 17.0 16.6 0 34.9 36.3 3.22 5.03 4.00 6.67GL24h 2.5 65 315 10 1.89 1.28 2.34 1.34 14.1 13.9 0 20.1 21.0 4.73 7.29 5.00 8.33GL24h 2.5 65 315 20 2.57 1.37 3.28 1.43 13.8 13.5 0 21.5 22.4 4.49 6.93 5.00 8.33GL24h 2.5 65 315 30 3.15 1.42 4.02 1.48 13.6 13.3 0 22.3 23.2 4.36 6.76 5.00 8.33GL24h 3 65 315 10 1.89 1.28 2.34 1.34 11.7 11.5 0 13.2 14.6 6.00 9.72 6.00 10.0GL24h 3 65 315 20 2.57 1.37 3.28 1.43 11.5 11.2 0 14.9 15.6 5.96 9.14 6.00 10.0GL24h 3 65 315 30 3.15 1.42 4.02 1.48 11.3 11.1 0 15.5 16.1 5.76 8.86 6.00 10.0GL24h 3.5 65 315 10 1.89 1.28 2.34 1.34 10.0 9.89 0 8.69 9.96 7.00 11.7 7.00 11.7GL24h 3.5 65 315 20 2.57 1.37 3.28 1.43 9.83 9.62 0 9.95 11.4 7.00 11.7 7.00 11.7GL24h 3.5 65 315 30 3.15 1.42 4.02 1.48 9.69 9.49 0 10.8 11.8 7.00 11.4 7.00 11.7GL24h 4 65 315 10 1.89 1.28 2.34 1.34 8.78 8.66 0 6.01 6.90 8.00 13.3 8.00 13.3GL24h 4 65 315 20 2.57 1.37 3.28 1.43 8.60 8.42 0 6.91 7.91 8.00 13.3 8.00 13.3GL24h 4 65 315 30 3.15 1.42 4.02 1.48 8.48 8.30 0 7.49 8.50 8.00 13.3 8.00 13.3GL24h 4.5 65 315 10 1.89 1.28 2.34 1.34 7.81 7.69 0 4.31 4.96 9.00 15.0 9.00 15.0GL24h 4.5 65 315 20 2.57 1.37 3.28 1.43 7.65 7.48 0 4.97 5.71 9.00 15.0 9.00 15.0GL24h 4.5 65 315 30 3.15 1.42 4.02 1.48 7.54 7.38 0 5.41 6.15 9.00 15.0 9.00 15.0GL24h 5 65 315 10 1.89 1.28 2.34 1.34 7.03 6.93 0 3.19 3.68 10.0 16.7 10.0 16.7GL24h 5 65 315 20 2.57 1.37 3.28 1.43 6.88 6.73 0 3.69 4.25 10.0 16.7 10.0 16.7GL24h 5 65 315 30 3.15 1.42 4.02 1.48 6.78 6.64 0 4.02 4.58 10.0 16.7 10.0 16.7GL24h 5.5 65 315 10 1.89 1.28 2.34 1.34 6.39 6.30 0 2.43 2.80 11.0 18.3 11.0 18.3GL24h 5.5 65 315 20 2.57 1.37 3.28 1.43 6.26 6.12 0 2.81 3.24 11.0 18.3 11.0 18.3GL24h 5.5 65 315 30 3.15 1.42 4.02 1.48 6.17 6.04 0 3.07 3.50 11.0 18.3 11.0 18.3GL24h 6 65 315 10 1.89 1.28 2.34 1.34 5.86 5.77 0 1.89 2.18 12.0 20.0 12.0 20.0GL24h 6 65 315 20 2.57 1.37 3.28 1.43 5.73 5.61 0 2.19 2.52 12.0 20.0 12.0 20.0GL24h 6 65 315 30 3.15 1.42 4.02 1.48 5.65 5.53 0 2.39 2.73 12.0 20.0 12.0 20.0GL24h 6.5 65 315 10 1.89 1.28 2.34 1.34 5.41 5.33 0 1.49 1.73 13.0 21.7 13.0 21.7GL24h 6.5 65 315 20 2.57 1.37 3.28 1.43 5.29 5.18 0 1.74 2.00 13.0 21.7 13.0 21.7GL24h 6.5 65 315 30 3.15 1.42 4.02 1.48 5.22 5.11 0 1.90 2.17 13.0 21.7 13.0 21.7GL24h 7 65 315 10 1.89 1.28 2.34 1.34 5.02 4.95 0 1.20 1.39 14.0 23.3 14.0 23.3GL24h 7 65 315 20 2.57 1.37 3.28 1.43 4.91 4.81 0 1.40 1.62 14.0 23.3 14.0 23.3GL24h 7 65 315 30 3.15 1.42 4.02 1.48 4.84 4.74 0 1.53 1.75 14.0 23.3 14.0 23.3GL28h 4 90 225 10 1.33 0.866 1.60 0.894 9.15 8.93 0 3.38 3.83 8.00 13.3 8.00 13.3GL28h 4 90 225 20 1.73 0.909 2.10 0.936 8.87 8.65 0 3.81 4.29 8.00 13.3 8.00 13.3GL28h 4 90 225 30 2.05 0.940 2.47 0.969 8.77 8.64 0 4.10 4.59 8.00 13.3 8.00 13.3GL28h 5 90 225 10 1.33 0.866 1.60 0.894 7.32 7.14 0 1.76 2.00 10.0 16.7 10.0 16.7GL28h 5 90 225 20 1.73 0.909 2.10 0.936 7.09 6.92 0 1.99 2.25 10.0 16.7 10.0 16.7GL28h 5 90 225 30 2.05 0.940 2.47 0.969 7.02 6.91 0 2.15 2.41 10.0 16.7 10.0 16.7GL28h 6 90 225 10 1.33 0.866 1.60 0.894 6.10 5.95 0 1.03 1.17 12.0 20.0 12.0 20.0GL28h 6 90 225 20 1.73 0.909 2.10 0.936 5.91 5.77 0 1.17 1.32 12.0 20.0 12.0 20.0GL28h 6 90 225 30 2.05 0.940 2.47 0.969 5.85 5.76 0 1.26 1.41 12.0 20.0 12.0 20.0GL28h 7 90 225 10 1.33 0.866 1.60 0.894 5.23 5.10 0 0.653 0.743 14.0 23.3 14.0 23.3


C-39

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-40

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-41

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-42

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-43

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³





C-44

Beam grade L b h ts

W.b inst

W.t inst

W.b fin

W.t fin

v.Ed inst

v.Ed fin P.

pre q.Ed

instq.Ed fin

ω inst

ω fin

ω inst max

ω fin max


E+6 mm³

E+6 mm³

E+6 mm³



GL28h 5 115 495 30 13.8 6.51 18.56 6.86 22.3 21.9 0 27.4 30.1 10.0 15.9 10.0 16.7GL28h 6 115 495 10 8.01 5.69 9.97 6.04 18.9 18.8 0 13.1 15.2 12.0 20.0 12.0 20.0GL28h 6 115 495 20 11.0 6.20 14.55 6.57 18.8 18.5 0 15.3 17.9 12.0 20.0 12.0 20.0GL28h 6 115 495 30 13.8 6.51 18.56 6.86 18.6 18.2 0 16.8 19.5 12.0 20.0 12.0 20.0GL28h 7 115 495 10 8.01 5.69 9.97 6.04 16.2 16.1 0 8.51 9.92 14.0 23.3 14.0 23.3GL28h 7 115 495 20 11.0 6.20 14.55 6.57 16.1 15.9 0 9.99 11.7 14.0 23.3 14.0 23.3GL28h 7 115 495 30 13.8 6.51 18.56 6.86 15.9 15.6 0 11.0 12.8 14.0 23.3 14.0 23.3GL28h 8 115 495 10 8.01 5.69 9.97 6.04 14.1 14.1 0 5.82 6.80 16.0 26.7 16.0 26.7GL28h 8 115 495 20 11.0 6.20 14.55 6.57 14.1 13.9 0 6.85 8.06 16.0 26.7 16.0 26.7GL28h 8 115 495 30 13.8 6.51 18.56 6.86 13.9 13.7 0 7.58 8.83 16.0 26.7 16.0 26.7GL28h 9 115 495 10 8.01 5.69 9.97 6.04 12.6 12.5 0 4.14 4.85 18.0 30.0 18.0 30.0GL28h 9 115 495 20 11.0 6.20 14.55 6.57 12.5 12.3 0 4.89 5.76 18.0 30.0 18.0 30.0GL28h 9 115 495 30 13.8 6.51 18.56 6.86 12.4 12.2 0 5.42 6.33 18.0 30.0 18.0 30.0


C-45

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

GL24h

265

225S235

100

0.9500.624

1.140.644

11.911.6

63.019.2

18.63.56

5.494.00

6.671.00

0.710.02

1.000.63

0.01G

L24h2

65225

S23510

200.950

0.6241.14

0.64411.9

11.679.0

19.318.6

3.245.48

4.006.67

1.000.73

0.011.00

0.630.01

GL24h

265

225S235

200

1.240.655

1.500.675

11.511.3

41.018.3

18.13.68

5.684.00

6.671.00

0.560.01

1.000.48

0.01G

L24h2

65225

S23520

201.24

0.6551.50

0.67511.5

11.351.0

18.418.1

3.565.68

4.006.67

1.000.57

0.011.00

0.480.01

GL24h

265

225S235

300

1.460.678

1.760.698

11.411.2

30.018.2

18.33.68

5.714.00

6.671.00

0.480.01

1.000.42

0.01G

L24h2

65225

S23530

201.46

0.6781.76

0.69811.4

11.237.0

18.318.3

3.625.71

4.006.67

1.000.49

0.011.00

0.410.01

GL24h

2.565

225S235

100

0.9500.624

1.140.644

9.539.30

62.012.1

11.95.00

7.825.00

8.330.99

0.700.02

1.000.62

0.01G

L24h2.5

65225

S23510

200.950

0.6241.14

0.6449.53

9.3078.0

12.411.9

4.587.81

5.008.33

1.000.73

0.011.00

0.630.01

GL24h

2.565

225S235

200

1.240.655

1.500.675

9.239.01

41.011.2

11.65.00

8.105.00

8.330.95

0.530.01

1.000.48

0.01G

L24h2.5

65225

S23520

201.24

0.6551.50

0.6759.23

9.0151.0

11.711.6

5.008.11

5.008.33

0.990.57

0.011.00

0.480.01

GL24h

2.565

225S235

300

1.460.678

1.760.698

9.138.99

29.011.1

11.75.00

8.155.00

8.330.95

0.460.01

1.000.41

0.01G

L24h2.5

65225

S23530

201.46

0.6781.76

0.6989.13

8.9936.0

11.311.7

5.008.16

5.008.33

0.970.47

0.011.00

0.410.01

GL24h

365

225S235

100

0.9500.624

1.140.644

7.947.75

72.08.18

8.266.00

10.06.00

10.00.94

0.680.01

1.000.64

0.01G

L24h3

65225

S23510

200.950

0.6241.14

0.6447.94

7.7590.0

8.568.26

5.5510.0

6.0010.0

1.000.75

0.011.00

0.640.01

GL24h

365

225S235

200

1.240.655

1.500.675

7.707.51

64.07.73

7.916.00

10.06.00

10.00.94

0.560.01

1.000.53

0.01G

L24h3

65225

S23520

201.24

0.6551.50

0.6757.70

7.5180.0

8.057.91

5.8110.0

6.0010.0

1.000.64

0.011.00

0.530.01

GL24h

365

225S235

300

1.460.678

1.760.698

7.617.49

59.07.60

7.886.00

10.06.00

10.00.94

0.500.01

1.000.47

0.01G

L24h3

65225

S23530

201.46

0.6781.76

0.6987.61

7.4974.0

7.887.89

5.9110.0

6.0010.0

1.000.57

0.011.00

0.470.01

GL24h

3.565

225S235

100

0.9500.624

1.140.644

6.816.64

86.06.06

5.987.00

11.77.00

11.70.95

0.720.01

1.000.68

0.01G

L24h3.5

65225

S23510

200.950

0.6241.14

0.6446.81

6.64108

6.165.98

5.7011.6

7.0011.7

1.000.80

0.011.00

0.680.01

GL24h

3.565

225S235

200

1.240.655

1.500.675

6.606.44

81.05.63

5.607.00

11.77.00

11.70.95

0.610.01

1.000.58

0.01G

L24h3.5

65225

S23520

201.24

0.6551.50

0.6756.60

6.44101

5.645.60

6.1311.7

7.0011.7

1.000.70

0.011.00

0.580.01

GL24h

3.565

225S235

300

1.460.678

1.760.698

6.526.42

78.05.44

5.497.00

11.77.00

11.70.95

0.550.01

1.000.52

0.01G

L24h3.5

65225

S23530

201.46

0.6781.76

0.6986.52

6.4298.0

5.395.49

6.2411.7

7.0011.7

1.000.64

0.011.00

0.530.01

GL24h

465

225S235

100

0.9500.624

1.140.644

5.965.81

96.04.65

4.508.00

13.38.00

13.30.96

0.740.01

1.000.71

0.01G

L24h4

65225

S23510

200.950

0.6241.14

0.6445.96

5.81120

4.604.50

5.6813.3

8.0013.3

1.000.83

0.011.00

0.710.01

GL24h

465

225S235

200

1.240.655

1.500.675

5.775.63

93.04.25

4.138.00

13.38.00

13.30.96

0.650.01

1.000.62

0.01G

L24h4

65225

S23520

201.24

0.6551.50

0.6755.77

5.63116

4.094.13

6.1513.3

8.0013.3

1.000.75

0.011.00

0.620.01

GL24h

465

225S235

300

1.460.678

1.760.698

5.715.62

91.04.05

3.998.00

13.38.00

13.30.96

0.600.01

1.000.57

0.01G

L24h4

65225

S23530

201.46

0.6781.76

0.6985.71

5.62113

3.843.99

6.4213.3

8.0013.3

1.000.70

0.011.00

0.570.01

Stress checks =< 1



C-46

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

4.565

225S235

100

0.9500.624

1.140.644

5.305.17

1033.66

3.499.00

15.09.00

15.00.97

0.760.01

1.000.73

0.01G

L24h4.5

65225

S23510

200.950

0.6241.14

0.6445.30

5.17129

3.553.49

5.4215.0

9.0015.0

1.000.86

0.011.00

0.730.01

GL24h

4.565

225S235

200

1.240.655

1.500.675

5.135.01

1013.29

3.159.00

15.09.00

15.00.96

0.680.01

1.000.65

0.01G

L24h4.5

65225

S23520

201.24

0.6551.50

0.6755.13

5.01126

3.083.15

6.0815.0

9.0015.0

1.000.79

0.011.00

0.650.01

GL24h

4.565

225S235

300

1.460.678

1.760.698

5.074.99

1003.11

3.019.00

15.09.00

15.00.96

0.640.01

1.000.61

0.00G

L24h4.5

65225

S23530

201.46

0.6781.76

0.6985.07

4.99125

2.823.01

6.2715.0

9.0015.0

1.000.76

0.011.00

0.610.00

GL24h

565

225S235

100

0.9500.624

1.140.644

4.774.65

1092.95

2.7910.0

16.710.0

16.70.98

0.790.01

1.000.75

0.01G

L24h5

65225

S23510

200.950

0.6241.14

0.6444.77

4.65134

2.832.76

5.3916.7

10.016.7

1.000.87

0.010.99

0.730.01

GL24h

565

225S235

200

1.240.655

1.500.675

4.624.51

1082.63

2.4710.0

16.610.0

16.70.97

0.710.01

1.000.68

0.01G

L24h5

65225

S23520

201.24

0.6551.50

0.6754.62

4.51134

2.392.47

5.7616.7

10.016.7

1.000.83

0.011.00

0.670.01

GL24h

565

225S235

300

1.460.678

1.760.698

4.574.49

1072.45

2.3410.0

16.710.0

16.70.97

0.670.01

1.000.64

0.00G

L24h5

65225

S23530

201.46

0.6781.76

0.6984.57

4.49134

2.132.33

5.9116.6

10.016.7

1.000.80

0.001.00

0.640.00

GL24h

5.565

225S235

100

0.9500.624

1.140.644

4.334.23

1142.44

2.2611.0

18.211.0

18.30.99

0.800.01

1.000.76

0.01G

L24h5.5

65225

S23510

200.950

0.6241.14

0.6444.33

4.23134

2.342.20

6.3418.3

11.018.3

1.000.87

0.010.95

0.710.01

GL24h

5.565

225S235

200

1.240.655

1.500.675

4.204.10

1132.14

1.9911.0

18.311.0

18.30.98

0.730.01

1.000.70

0.01G

L24h5.5

65225

S23520

201.24

0.6551.50

0.6754.20

4.10134

1.971.94

6.8218.3

11.018.3

1.000.83

0.010.95

0.650.01

GL24h

5.565

225S235

300

1.460.678

1.760.698

4.154.09

1121.98

1.8511.0

18.311.0

18.30.97

0.690.01

1.000.66

0.00G

L24h5.5

65225

S23530

201.46

0.6781.76

0.6984.15

4.09134

1.761.83

7.0218.3

11.018.3

1.000.80

0.000.96

0.620.00

GL24h

265

270S235

100

1.390.924

1.700.962

14.714.5

89.029.7

28.73.13

4.844.00

6.671.00

0.730.02

1.000.65

0.01G

L24h2

65270

S23510

201.39

0.9241.70

0.96214.7

14.5111

30.028.7

2.784.85

4.006.67

1.000.76

0.021.00

0.650.01

GL24h

265

270S235

200

1.870.980

2.331.02

14.414.0

59.028.0

27.63.31

5.104.00

6.671.00

0.570.01

1.000.48

0.01G

L24h2

65270

S23520

201.87

0.9802.33

1.0214.4

14.074.0

28.327.6

3.165.10

4.006.67

1.000.59

0.011.00

0.480.01

GL24h

265

270S235

300

2.251.02

2.811.05

14.113.9

44.027.6

27.53.32

5.154.00

6.671.00

0.480.01

1.000.40

0.01G

L24h2

65270

S23530

202.25

1.022.81

1.0514.1

13.955.0

27.827.5

3.255.15

4.006.67

1.000.49

0.011.00

0.400.01

GL24h

2.565

270S235

100

1.390.924

1.700.962

11.811.6

88.019.0

18.44.26

6.585.00

8.331.00

0.730.02

1.000.65

0.01G

L24h2.5

65270

S23510

201.39

0.9241.70

0.96211.8

11.6110

19.218.4

3.716.58

5.008.33

1.000.76

0.021.00

0.650.01

GL24h

2.565

270S235

200

1.870.980

2.331.02

11.511.2

58.017.9

17.74.56

7.015.00

8.331.00

0.560.01

1.000.48

0.01G

L24h2.5

65270

S23520

201.87

0.9802.33

1.0211.5

11.273.0

18.117.7

4.337.00

5.008.33

1.000.59

0.011.00

0.480.01

GL24h

2.565

270S235

300

2.251.02

2.811.05

11.311.1

43.017.6

17.64.58

7.085.00

8.331.00

0.480.01

1.000.40

0.01G

L24h2.5

65270

S23530

202.25

1.022.81

1.0511.3

11.156.0

17.817.6

4.447.05

5.008.33

1.000.49

0.011.00

0.410.01


C-47

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

365

270S235

100

1.390.924

1.700.962

9.829.64

88.013.2

12.85.61

8.686.00

10.01.00

0.730.02

1.000.65

0.01G

L24h3

65270

S23510

201.39

0.9241.70

0.9629.82

9.64110

13.312.8

4.828.68

6.0010.0

1.000.76

0.021.00

0.650.01

GL24h

365

270S235

200

1.870.980

2.331.02

9.579.35

59.012.4

12.36.00

9.306.00

10.00.99

0.560.01

1.000.48

0.01G

L24h3

65270

S23520

201.87

0.9802.33

1.029.57

9.3573.0

12.612.3

5.759.32

6.0010.0

1.000.59

0.011.00

0.480.01

GL24h

365

270S235

300

2.251.02

2.811.05

9.439.25

43.012.0

12.26.00

9.436.00

10.00.98

0.470.01

1.000.40

0.01G

L24h3

65270

S23530

202.25

1.022.81

1.059.43

9.2554.0

12.312.2

5.959.43

6.0010.0

1.000.49

0.011.00

0.400.01

GL24h

3.565

270S235

100

1.390.924

1.700.962

8.428.26

88.09.52

9.377.00

11.27.00

11.70.98

0.710.02

1.000.65

0.01G

L24h3.5

65270

S23510

201.39

0.9241.70

0.9628.42

8.26110

9.799.37

6.1311.2

7.0011.7

1.000.76

0.021.00

0.650.01

GL24h

3.565

270S235

200

1.870.980

2.331.02

8.208.01

68.08.68

8.997.00

11.67.00

11.70.93

0.540.01

1.000.50

0.01G

L24h3.5

65270

S23520

201.87

0.9802.33

1.028.20

8.0185.0

9.248.99

6.9811.6

7.0011.7

1.000.61

0.011.00

0.500.01

GL24h

3.565

270S235

300

2.251.02

2.811.05

8.087.93

59.08.50

8.937.00

11.77.00

11.70.93

0.470.01

1.000.43

0.01G

L24h3.5

65270

S23530

202.25

1.022.81

1.058.08

7.9374.0

8.908.94

7.0011.7

7.0011.7

0.980.52

0.011.00

0.430.01

GL24h

465

270S235

100

1.390.924

1.700.962

7.377.23

96.07.19

7.178.00

13.38.00

13.30.95

0.710.02

1.000.66

0.01G

L24h4

65270

S23510

201.39

0.9241.70

0.9627.37

7.23120

7.497.17

6.8913.3

8.0013.3

1.000.78

0.011.00

0.660.01

GL24h

465

270S235

200

1.870.980

2.331.02

7.187.01

88.06.72

6.778.00

13.38.00

13.30.94

0.590.01

1.000.54

0.01G

L24h4

65270

S23520

201.87

0.9802.33

1.027.18

7.01110

6.946.77

7.3513.3

8.0013.3

1.000.67

0.011.00

0.540.01

GL24h

465

270S235

300

2.251.02

2.811.05

7.076.94

82.06.50

6.648.00

13.38.00

13.30.94

0.510.01

1.000.48

0.01G

L24h4

65270

S23530

202.25

1.022.81

1.057.07

6.94103

6.706.65

7.5813.3

8.0013.3

1.000.59

0.011.00

0.480.01

GL24h

4.565

270S235

100

1.390.924

1.700.962

6.556.42

1075.73

5.639.00

15.09.00

15.00.96

0.730.01

1.000.69

0.01G

L24h4.5

65270

S23510

201.39

0.9241.70

0.9626.55

6.42134

5.865.63

6.9715.0

9.0015.0

1.000.81

0.011.00

0.690.01

GL24h

4.565

270S235

200

1.870.980

2.331.02

6.386.23

1015.29

5.239.00

15.09.00

15.00.95

0.620.01

1.000.58

0.01G

L24h4.5

65270

S23520

201.87

0.9802.33

1.026.38

6.23127

5.335.23

7.5515.0

9.0015.0

1.000.71

0.011.00

0.580.01

GL24h

4.565

270S235

300

2.251.02

2.811.05

6.296.16

98.05.09

5.079.00

15.09.00

15.00.95

0.560.01

1.000.52

0.01G

L24h4.5

65270

S23530

202.25

1.022.81

1.056.29

6.16122

5.065.07

7.8515.0

9.0015.0

1.000.65

0.011.00

0.520.01

GL24h

565

270S235

100

1.390.924

1.700.962

5.895.78

1164.68

4.5210.0

16.610.0

16.70.97

0.750.01

1.000.71

0.01G

L24h5

65270

S23510

201.39

0.9241.70

0.9625.89

5.78145

4.694.52

6.8216.6

10.016.7

1.000.84

0.011.00

0.710.01

GL24h

565

270S235

200

1.870.980

2.331.02

5.745.61

1124.28

4.1410.0

16.610.0

16.70.96

0.650.01

1.000.61

0.01G

L24h5

65270

S23520

201.87

0.9802.33

1.025.74

5.61139

4.204.14

7.6516.7

10.016.7

1.000.75

0.011.00

0.610.01

GL24h

565

270S235

300

2.251.02

2.811.05

5.665.55

1094.05

3.9710.0

16.710.0

16.70.96

0.590.01

1.000.56

0.01G

L24h5

65270

S23530

202.25

1.022.81

1.055.66

5.55136

3.913.97

7.9516.7

10.016.7

1.000.70

0.011.00

0.560.01


C-48

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

5.565

270S235

100

1.390.924

1.700.962

5.365.26

1233.88

3.7111.0

18.211.0

18.30.98

0.770.01

1.000.73

0.01G

L24h5.5

65270

S23510

201.39

0.9241.70

0.9625.36

5.26153

3.833.71

6.5918.3

11.018.3

1.000.86

0.011.00

0.720.01

GL24h

5.565

270S235

200

1.870.980

2.331.02

5.225.10

1203.51

3.3511.0

18.311.0

18.30.97

0.670.01

1.000.63

0.01G

L24h5.5

65270

S23520

201.87

0.9802.33

1.025.22

5.10149

3.373.35

7.5218.3

11.018.3

1.000.78

0.011.00

0.630.01

GL24h

5.565

270S235

300

2.251.02

2.811.05

5.145.04

1183.30

3.1811.0

18.311.0

18.30.96

0.620.01

1.000.59

0.01G

L24h5.5

65270

S23530

202.25

1.022.81

1.055.14

5.04147

3.093.18

7.8718.3

11.018.3

1.000.74

0.011.00

0.590.01

GL24h

665

270S235

100

1.390.924

1.700.962

4.914.82

1283.25

3.0912.0

20.012.0

20.00.98

0.780.01

1.000.74

0.01G

L24h6

65270

S23510

201.39

0.9241.70

0.9624.91

4.82160

3.183.09

6.0920.0

12.020.0

1.000.87

0.011.00

0.740.01

GL24h

665

270S235

200

1.870.980

2.331.02

4.784.67

1262.92

2.7612.0

20.012.0

20.00.97

0.690.01

1.000.65

0.01G

L24h6

65270

S23520

201.87

0.9802.33

1.024.78

4.67158

2.742.76

7.0219.9

12.020.0

1.000.81

0.011.00

0.660.01

GL24h

665

270S235

300

2.251.02

2.811.05

4.724.62

1252.73

2.5912.0

20.012.0

20.00.97

0.650.01

1.000.61

0.01G

L24h6

65270

S23530

202.25

1.022.81

1.054.72

4.62156

2.492.59

7.5820.0

12.020.0

1.000.78

0.011.00

0.610.01

GL24h

265

315S235

100

1.891.28

2.341.34

17.617.3

11742.8

41.12.93

4.544.00

6.671.00

0.750.02

1.000.68

0.01G

L24h2

65315

S23510

201.89

1.282.34

1.3417.6

17.3147

43.241.1

2.544.53

4.006.67

1.000.80

0.011.00

0.680.01

GL24h

265

315S235

200

2.571.37

3.281.43

17.216.8

80.040.0

39.13.12

4.824.00

6.671.00

0.580.01

1.000.50

0.01G

L24h2

65315

S23520

202.57

1.373.28

1.4317.2

16.8100

40.439.1

2.964.82

4.006.67

1.000.62

0.011.00

0.500.01

GL24h

265

315S235

300

3.151.42

4.021.48

17.016.6

60.039.0

38.73.15

4.884.00

6.671.00

0.490.01

1.000.41

0.01G

L24h2

65315

S23530

203.15

1.424.02

1.4817.0

16.675.0

39.338.7

3.074.88

4.006.67

1.000.51

0.011.00

0.410.01

GL24h

2.565

315S235

100

1.891.28

2.341.34

14.113.9

11827.4

26.33.75

5.815.00

8.331.00

0.760.02

1.000.68

0.01G

L24h2.5

65315

S23510

201.89

1.282.34

1.3414.1

13.9147

27.726.3

3.145.82

5.008.33

1.000.80

0.011.00

0.680.01

GL24h

2.565

315S235

200

2.571.37

3.281.43

13.813.5

80.025.6

25.04.12

6.345.00

8.331.00

0.580.01

1.000.50

0.01G

L24h2.5

65315

S23520

202.57

1.373.28

1.4313.8

13.5100

25.825.0

3.866.34

5.008.33

1.000.62

0.011.00

0.500.01

GL24h

2.565

315S235

300

3.151.42

4.021.48

13.613.3

60.025.0

24.84.18

6.455.00

8.331.00

0.490.01

1.000.41

0.01G

L24h2.5

65315

S23530

203.15

1.424.02

1.4813.6

13.375.0

25.224.8

4.046.45

5.008.33

1.000.51

0.011.00

0.410.01

GL24h

365

315S235

100

1.891.28

2.341.34

11.711.5

11719.0

18.34.78

7.426.00

10.01.00

0.750.02

1.000.68

0.01G

L24h3

65315

S23510

201.89

1.282.34

1.3411.7

11.5146

19.218.3

3.927.43

6.0010.0

1.000.80

0.011.00

0.680.01

GL24h

365

315S235

200

2.571.37

3.281.43

11.511.2

80.017.8

17.45.33

8.196.00

10.01.00

0.580.01

1.000.50

0.01G

L24h3

65315

S23520

202.57

1.373.28

1.4311.5

11.299.0

17.917.4

4.988.21

6.0010.0

1.000.61

0.011.00

0.500.01

GL24h

365

315S235

300

3.151.42

4.021.48

11.311.1

59.017.3

17.25.44

8.386.00

10.01.00

0.490.01

1.000.41

0.01G

L24h3

65315

S23530

203.15

1.424.02

1.4811.3

11.174.0

17.517.2

5.258.38

6.0010.0

1.000.50

0.011.00

0.410.01


C-49

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

3.565

315S235

100

1.891.28

2.341.34

10.09.89

11614.0

13.46.02

9.357.00

11.71.00

0.750.02

1.000.68

0.01G

L24h3.5

65315

S23510

201.89

1.282.34

1.3410.0

9.89145

14.113.4

4.859.35

7.0011.7

1.000.80

0.021.00

0.680.01

GL24h

3.565

315S235

200

2.571.37

3.281.43

9.839.62

79.013.0

12.86.79

10.47.00

11.71.00

0.580.01

1.000.50

0.01G

L24h3.5

65315

S23520

202.57

1.373.28

1.439.83

9.6298.0

13.212.8

6.3110.4

7.0011.7

1.000.61

0.011.00

0.500.01

GL24h

3.565

315S235

300

3.151.42

4.021.48

9.699.49

59.012.7

12.66.93

10.77.00

11.71.00

0.490.01

1.000.41

0.01G

L24h3.5

65315

S23530

203.15

1.424.02

1.489.69

9.4974.0

12.812.6

6.6710.6

7.0011.7

1.000.50

0.011.00

0.410.01

GL24h

465

315S235

100

1.891.28

2.341.34

8.788.66

11610.7

10.37.42

11.58.00

13.31.00

0.750.02

1.000.68

0.01G

L24h4

65315

S23510

201.89

1.282.34

1.348.78

8.66145

10.810.3

5.8811.5

8.0013.3

1.000.80

0.021.00

0.680.01

GL24h

465

315S235

200

2.571.37

3.281.43

8.608.42

78.09.56

9.778.00

13.08.00

13.30.95

0.560.01

1.000.50

0.01G

L24h4

65315

S23520

202.57

1.373.28

1.438.60

8.4298.0

10.19.77

7.8213.0

8.0013.3

1.000.61

0.011.00

0.500.01

GL24h

465

315S235

300

3.151.42

4.021.48

8.488.30

60.09.16

9.678.00

13.28.00

13.30.93

0.460.01

1.000.41

0.01G

L24h4

65315

S23530

203.15

1.424.02

1.488.48

8.3075.0

9.579.67

8.0013.2

8.0013.3

0.970.49

0.011.00

0.410.01

GL24h

4.565

315S235

100

1.891.28

2.341.34

7.817.69

1168.44

8.129.00

14.09.00

15.01.00

0.750.02

1.000.68

0.01G

L24h4.5

65315

S23510

201.89

1.282.34

1.347.81

7.69145

8.548.12

7.0514.0

9.0015.0

1.000.80

0.021.00

0.680.01

GL24h

4.565

315S235

200

2.571.37

3.281.43

7.657.48

93.07.54

7.709.00

15.09.00

15.00.94

0.570.01

1.000.52

0.01G

L24h4.5

65315

S23520

202.57

1.373.28

1.437.65

7.48116

7.977.70

8.6315.0

9.0015.0

1.000.64

0.011.00

0.520.01

GL24h

4.565

315S235

300

3.151.42

4.021.48

7.547.38

85.07.32

7.569.00

15.09.00

15.00.93

0.490.01

1.000.45

0.01G

L24h4.5

65315

S23530

203.15

1.424.02

1.487.54

7.38106

7.727.56

8.8715.0

9.0015.0

1.000.56

0.011.00

0.450.01

GL24h

565

315S235

100

1.891.28

2.341.34

7.036.93

1176.62

6.5810.0

16.710.0

16.70.95

0.720.02

1.000.68

0.01G

L24h5

65315

S23510

201.89

1.282.34

1.347.03

6.93147

6.916.58

8.1816.6

10.016.7

1.000.80

0.011.00

0.680.01

GL24h

565

315S235

200

2.571.37

3.281.43

6.886.73

1096.17

6.1710.0

16.610.0

16.70.95

0.600.01

1.000.56

0.01G

L24h5

65315

S23520

202.57

1.373.28

1.436.88

6.73136

6.386.17

8.9016.7

10.016.7

1.000.69

0.011.00

0.560.01

GL24h

565

315S235

300

3.151.42

4.021.48

6.786.64

1035.94

6.0010.0

16.710.0

16.70.94

0.530.01

1.000.49

0.01G

L24h5

65315

S23530

203.15

1.424.02

1.486.78

6.64129

6.106.00

9.2016.7

10.016.7

1.000.62

0.011.00

0.490.01

GL24h

5.565

315S235

100

1.891.28

2.341.34

6.396.30

1275.54

5.4311.0

18.311.0

18.30.96

0.740.02

1.000.70

0.01G

L24h5.5

65315

S23510

201.89

1.282.34

1.346.39

6.30159

5.705.43

8.1918.3

11.018.3

1.000.82

0.011.00

0.700.01

GL24h

5.565

315S235

200

2.571.37

3.281.43

6.266.12

1215.12

5.0311.0

18.311.0

18.30.95

0.630.01

1.000.58

0.01G

L24h5.5

65315

S23520

202.57

1.373.28

1.436.26

6.12151

5.185.03

9.0318.3

11.018.3

1.000.72

0.011.00

0.580.01

GL24h

5.565

315S235

300

3.151.42

4.021.48

6.176.04

1164.87

4.8411.0

18.311.0

18.30.95

0.560.01

1.000.52

0.01G

L24h5.5

65315

S23530

203.15

1.424.02

1.486.17

6.04146

4.894.84

9.3718.3

11.018.3

1.000.66

0.011.00

0.520.01


C-50

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL24h

665

315S235

100

1.891.28

2.341.34

5.865.77

1354.69

4.5512.0

19.912.0

20.00.97

0.760.02

1.000.71

0.01G

L24h6

65315

S23510

201.89

1.282.34

1.345.86

5.77169

4.774.55

8.0019.9

12.020.0

1.000.84

0.011.00

0.710.01

GL24h

665

315S235

200

2.571.37

3.281.43

5.735.61

1304.29

4.1712.0

20.012.0

20.00.96

0.650.01

1.000.61

0.01G

L24h6

65315

S23520

202.57

1.373.28

1.435.73

5.61163

4.274.17

8.9820.0

12.020.0

1.000.75

0.011.00

0.610.01

GL24h

665

315S235

300

3.151.42

4.021.48

5.655.53

1274.07

3.9812.0

20.012.0

20.00.96

0.590.01

1.000.55

0.01G

L24h6

65315

S23530

203.15

1.424.02

1.485.65

5.53159

3.983.98

9.4320.0

12.020.0

1.000.70

0.011.00

0.550.01

GL24h

6.565

315S235

100

1.891.28

2.341.34

5.415.33

1414.01

3.8613.0

21.713.0

21.70.97

0.770.01

1.000.72

0.01G

L24h6.5

65315

S23510

201.89

1.282.34

1.345.41

5.33177

4.043.86

7.6921.6

13.021.7

1.000.86

0.011.00

0.730.01

GL24h

6.565

315S235

200

2.571.37

3.281.43

5.295.18

1383.65

3.5013.0

21.613.0

21.70.96

0.670.01

1.000.63

0.01G

L24h6.5

65315

S23520

202.57

1.373.28

1.435.29

5.18172

3.583.50

8.9121.7

13.021.7

1.000.78

0.011.00

0.630.01

GL24h

6.565

315S235

300

3.151.42

4.021.48

5.225.11

1353.43

3.3113.0

21.713.0

21.70.96

0.610.01

1.000.57

0.01G

L24h6.5

65315

S23530

203.15

1.424.02

1.485.22

5.11169

3.303.31

9.4221.7

13.021.7

1.000.73

0.011.00

0.570.01

GL24h

765

315S235

100

1.891.28

2.341.34

5.024.95

1473.47

3.3114.0

23.214.0

23.30.98

0.790.01

1.000.74

0.01G

L24h7

65315

S23510

201.89

1.282.34

1.345.02

4.95183

3.463.31

7.3823.3

14.023.3

1.000.87

0.011.00

0.740.01

GL24h

765

315S235

200

2.571.37

3.281.43

4.914.81

1443.14

2.9814.0

23.314.0

23.30.97

0.690.01

1.000.64

0.01G

L24h7

65315

S23520

202.57

1.373.28

1.434.91

4.81180

3.032.98

8.6123.3

14.023.3

1.000.80

0.011.00

0.640.01

GL24h

765

315S235

300

3.151.42

4.021.48

4.844.74

1432.94

2.8014.0

23.314.0

23.30.97

0.640.01

1.000.60

0.01G

L24h7

65315

S23530

203.15

1.424.02

1.484.84

4.74178

2.762.80

9.1823.3

14.023.3

1.000.76

0.011.00

0.600.01

GL28h

490

225S235

100

1.330.866

1.600.894

9.158.93

1567.26

6.978.00

13.38.00

13.30.97

0.760.01

1.000.72

0.01G

L28h4

90225

S23510

201.33

0.8661.60

0.8949.15

8.93195

7.006.97

5.1013.3

8.0013.3

1.000.85

0.011.00

0.720.01

GL28h

490

225S235

200

1.730.909

2.100.936

8.878.65

1526.59

6.368.00

13.38.00

13.30.96

0.670.01

1.000.64

0.01G

L28h4

90225

S23520

201.73

0.9092.10

0.9368.87

8.65190

6.146.36

5.6013.3

8.0013.3

1.000.78

0.011.00

0.640.01

GL28h

490

225S235

300

2.050.940

2.470.969

8.778.64

1496.25

6.128.00

13.38.00

13.30.96

0.620.01

1.000.59

0.01G

L28h4

90225

S23530

202.05

0.9402.47

0.9698.77

8.64187

5.696.13

5.8413.3

8.0013.3

1.000.74

0.011.00

0.600.01

GL28h

590

225S235

100

1.330.866

1.600.894

7.327.14

1744.59

4.2910.0

16.610.0

16.70.98

0.800.01

1.000.76

0.01G

L28h5

90225

S23510

201.33

0.8661.60

0.8947.32

7.14206

4.364.18

5.7816.7

10.016.7

1.000.87

0.010.95

0.710.01

GL28h

590

225S235

200

1.730.909

2.100.936

7.096.92

1724.05

3.7910.0

16.710.0

16.70.97

0.720.01

1.000.69

0.01G

L28h5

90225

S23520

201.73

0.9092.10

0.9367.09

6.92206

3.693.72

6.1316.7

10.016.7

1.000.83

0.010.96

0.650.01

GL28h

590

225S235

300

2.050.940

2.470.969

7.026.91

1713.77

3.5710.0

16.710.0

16.70.97

0.680.01

1.000.66

0.01G

L28h5

90225

S23530

202.05

0.9402.47

0.9697.02

6.91206

3.303.52

6.2816.7

10.016.7

1.000.80

0.010.97

0.630.01


C-51

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

690

225S235

100

1.330.866

1.600.894

6.105.95

1853.14

2.8912.0

20.012.0

20.00.99

0.820.01

1.000.79

0.01G

L28h6

90225

S23510

201.33

0.8661.60

0.8946.10

5.95206

3.032.70

7.9520.0

12.020.0

1.000.87

0.010.88

0.670.01

GL28h

690

225S235

200

1.730.909

2.100.936

5.915.77

1852.72

2.4812.0

20.012.0

20.00.98

0.760.01

1.000.73

0.01G

L28h6

90225

S23520

201.73

0.9092.10

0.9365.91

5.77206

2.562.36

8.5120.0

12.020.0

1.000.83

0.010.89

0.620.01

GL28h

690

225S235

300

2.050.940

2.470.969

5.855.76

1852.49

2.3012.0

20.012.0

20.00.98

0.730.01

1.000.71

0.00G

L28h6

90225

S23530

202.05

0.9402.47

0.9695.85

5.76206

2.292.20

8.7520.0

12.020.0

1.000.80

0.010.89

0.600.00

GL28h

790

225S235

100

1.330.866

1.600.894

5.235.10

1932.28

2.0714.0

23.314.0

23.30.99

0.840.01

1.000.81

0.01G

L28h7

90225

S23510

201.33

0.8661.60

0.8945.23

5.10206

2.231.88

10.523.3

14.023.3

1.000.87

0.010.83

0.650.01

GL28h

790

225S235

200

1.730.909

2.100.936

5.074.95

1941.95

1.7414.0

23.414.0

23.30.99

0.790.01

1.000.76

0.01G

L28h7

90225

S23520

201.73

0.9092.10

0.9365.07

4.95206

1.881.61

11.323.3

14.023.3

1.000.83

0.010.83

0.600.01

GL28h

790

225S235

300

2.050.940

2.470.969

5.014.93

1951.76

1.5914.0

23.314.0

23.30.99

0.760.01

1.000.74

0.00G

L28h7

90225

S23530

202.05

0.9402.47

0.9695.01

4.93206

1.681.48

11.723.4

14.023.3

1.000.80

0.010.83

0.570.00

GL28h

490

270S235

100

1.951.28

2.391.34

11.311.1

16111.4

11.38.00

13.38.00

13.30.95

0.720.02

1.000.68

0.01G

L28h4

90270

S23510

201.95

1.282.39

1.3411.3

11.1202

11.611.2

6.4113.3

8.0013.3

1.000.80

0.011.00

0.680.01

GL28h

490

270S235

200

2.621.36

3.271.41

11.010.8

15110.6

10.68.00

13.38.00

13.30.95

0.610.01

1.000.57

0.01G

L28h4

90270

S23520

202.62

1.363.27

1.4111.0

10.8189

10.710.6

6.9313.3

8.0013.3

1.000.70

0.011.00

0.570.01

GL28h

490

270S235

300

3.161.41

3.941.46

10.910.7

14510.2

10.38.00

13.38.00

13.30.95

0.540.01

1.000.51

0.01G

L28h4

90270

S23530

203.16

1.413.94

1.4610.9

10.7181

10.210.3

7.1513.3

8.0013.3

1.000.64

0.011.00

0.510.01

GL28h

590

270S235

100

1.951.28

2.391.34

9.068.88

1877.30

7.0310.0

16.710.0

16.70.97

0.760.02

1.000.72

0.01G

L28h5

90270

S23510

201.95

1.282.39

1.349.06

8.88234

7.197.04

6.1916.7

10.016.7

1.000.85

0.011.00

0.720.01

GL28h

590

270S235

200

2.621.36

3.271.41

8.828.61

1826.64

6.4010.0

16.710.0

16.70.96

0.670.01

1.000.63

0.01G

L28h5

90270

S23520

202.62

1.363.27

1.418.82

8.61228

6.346.40

6.9216.7

10.016.7

1.000.78

0.011.00

0.630.01

GL28h

590

270S235

300

3.161.41

3.941.46

8.708.53

1796.28

6.1110.0

16.710.0

16.70.96

0.610.01

1.000.58

0.01G

L28h5

90270

S23530

203.16

1.413.94

1.468.70

8.53224

5.866.11

7.2716.7

10.016.7

1.000.74

0.011.00

0.580.01

GL28h

690

270S235

100

1.951.28

2.391.34

7.557.40

2045.06

4.7812.0

20.012.0

20.00.98

0.790.01

1.000.75

0.01G

L28h6

90270

S23510

201.95

1.282.39

1.347.55

7.40244

4.934.66

6.8720.0

12.020.0

1.000.87

0.010.96

0.710.01

GL28h

690

270S235

200

2.621.36

3.271.41

7.357.18

2024.52

4.2412.0

20.012.0

20.00.97

0.710.01

1.000.67

0.01G

L28h6

90270

S23520

202.62

1.363.27

1.417.35

7.18247

4.194.20

6.9220.0

12.020.0

1.000.83

0.010.98

0.650.01

GL28h

690

270S235

300

3.161.41

3.941.46

7.257.11

2004.20

3.9712.0

20.012.0

20.00.97

0.660.01

1.000.63

0.01G

L28h6

90270

S23530

203.16

1.413.94

1.467.25

7.11247

3.753.96

7.1320.0

12.020.0

1.000.80

0.010.99

0.620.01


C-52

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

790

270S235

100

1.951.28

2.391.34

6.476.34

2163.70

3.4514.0

23.314.0

23.30.99

0.820.01

1.000.77

0.01G

L28h7

90270

S23510

201.95

1.282.39

1.346.47

6.34247

3.603.27

8.2923.4

14.023.3

1.000.88

0.010.91

0.690.01

GL28h

790

270S235

200

2.621.36

3.271.41

6.306.15

2163.26

3.0014.0

23.314.0

23.30.98

0.740.01

1.000.71

0.01G

L28h7

90270

S23520

202.62

1.363.27

1.416.30

6.15247

3.082.87

9.0723.3

14.023.3

1.000.83

0.010.92

0.630.01

GL28h

790

270S235

300

3.161.41

3.941.46

6.216.09

2152.99

2.7614.0

23.314.0

23.30.98

0.700.01

1.000.67

0.01G

L28h7

90270

S23530

203.16

1.413.94

1.466.21

6.09247

2.752.67

9.3923.3

14.023.3

1.000.80

0.010.92

0.600.01

GL28h

890

270S235

100

1.951.28

2.391.34

5.665.55

2252.82

2.6016.0

26.716.0

26.70.99

0.830.01

1.000.79

0.01G

L28h8

90270

S23510

201.95

1.282.39

1.345.66

5.55247

2.762.39

10.526.7

16.026.7

1.000.88

0.010.87

0.660.01

GL28h

890

270S235

200

2.621.36

3.271.41

5.515.38

2262.46

2.2216.0

26.716.0

26.70.99

0.770.01

1.000.74

0.01G

L28h8

90270

S23520

202.62

1.363.27

1.415.51

5.38247

2.362.07

11.526.7

16.026.7

1.000.83

0.010.87

0.610.01

GL28h

890

270S235

300

3.161.41

3.941.46

5.435.33

2262.23

2.0216.0

26.716.0

26.70.98

0.730.01

1.000.71

0.01G

L28h8

90270

S23530

203.16

1.413.94

1.465.43

5.33247

2.111.91

12.026.7

16.026.7

1.000.80

0.010.87

0.580.01

GL28h

490

315S235

100

2.651.77

3.281.86

13.513.3

16616.3

16.28.00

12.98.00

13.30.97

0.720.02

1.000.66

0.02G

L28h4

90315

S23510

202.65

1.773.28

1.8613.5

13.3207

16.916.2

6.9313.0

8.0013.3

1.000.78

0.021.00

0.660.02

GL28h

490

315S235

200

3.611.90

4.611.98

13.212.9

13815.1

15.58.00

13.38.00

13.30.93

0.560.02

1.000.51

0.01G

L28h4

90315

S23520

203.61

1.904.61

1.9813.2

12.9173

15.915.5

7.7713.3

8.0013.3

1.000.63

0.021.00

0.510.01

GL28h

490

315S235

300

4.431.97

5.652.05

13.012.8

12514.7

15.38.00

13.38.00

13.30.93

0.480.01

1.000.44

0.01G

L28h4

90315

S23530

204.43

1.975.65

2.0513.0

12.8156

15.515.3

7.9813.3

8.0013.3

1.000.55

0.011.00

0.440.01

GL28h

590

315S235

100

2.651.77

3.281.86

10.810.6

19510.5

10.310.0

16.610.0

16.70.96

0.740.02

1.000.69

0.02G

L28h5

90315

S23510

202.65

1.773.28

1.8610.8

10.6244

10.710.3

7.5816.6

10.016.7

1.000.82

0.021.00

0.690.02

GL28h

590

315S235

200

3.611.90

4.611.98

10.610.3

1859.74

9.6310.0

16.610.0

16.70.95

0.620.01

1.000.58

0.01G

L28h5

90315

S23520

203.61

1.904.61

1.9810.6

10.3231

9.829.63

8.3016.6

10.016.7

1.000.72

0.011.00

0.580.01

GL28h

590

315S235

300

4.431.97

5.652.05

10.410.2

1789.33

9.3110.0

16.610.0

16.70.95

0.560.01

1.000.52

0.01G

L28h5

90315

S23530

204.43

1.975.65

2.0510.4

10.2222

9.319.32

8.6516.7

10.016.7

1.000.66

0.011.00

0.520.01

GL28h

690

315S235

100

2.651.77

3.281.86

9.008.87

2187.34

7.0912.0

20.012.0

20.00.97

0.770.02

1.000.72

0.01G

L28h6

90315

S23510

202.65

1.773.28

1.869.00

8.87267

7.367.01

7.8520.0

12.020.0

1.000.85

0.010.98

0.710.01

GL28h

690

315S235

200

3.611.90

4.611.98

8.818.62

2136.71

6.4512.0

20.012.0

20.00.96

0.670.01

1.000.63

0.01G

L28h6

90315

S23520

203.61

1.904.61

1.988.81

8.62266

6.506.46

8.1720.0

12.020.0

1.000.78

0.011.00

0.630.01

GL28h

690

315S235

300

4.431.97

5.652.05

8.688.50

2096.34

6.1312.0

20.012.0

20.00.96

0.610.01

1.000.58

0.01G

L28h6

90315

S23530

204.43

1.975.65

2.058.68

8.50261

6.016.14

8.6620.0

12.020.0

1.000.74

0.011.00

0.580.01


C-53

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

790

315S235

100

2.651.77

3.281.86

7.727.60

2355.42

5.1414.0

23.214.0

23.30.98

0.800.02

1.000.75

0.01G

L28h7

90315

S23510

202.65

1.773.28

1.867.72

7.60273

5.394.94

9.2523.3

14.023.3

1.000.86

0.010.94

0.690.01

GL28h

790

315S235

200

3.611.90

4.611.98

7.557.39

2324.88

4.5914.0

23.314.0

23.30.97

0.710.01

1.000.67

0.01G

L28h7

90315

S23520

203.61

1.904.61

1.987.55

7.39288

4.594.58

7.6723.3

14.023.3

1.000.83

0.010.99

0.660.01

GL28h

790

315S235

300

4.431.97

5.652.05

7.447.29

2304.55

4.3014.0

23.314.0

23.30.97

0.660.01

1.000.62

0.01G

L28h7

90315

S23530

204.43

1.975.65

2.057.44

7.29287

4.134.30

8.0923.3

14.023.3

1.000.80

0.011.00

0.620.01

GL28h

890

315S235

100

2.651.77

3.281.86

6.756.65

2474.15

3.8916.0

26.616.0

26.70.99

0.820.01

1.000.77

0.01G

L28h8

90315

S23510

202.65

1.773.28

1.866.75

6.65281

4.103.68

10.026.7

16.026.7

1.000.87

0.010.91

0.680.01

GL28h

890

315S235

200

3.611.90

4.611.98

6.616.47

2463.70

3.4216.0

26.716.0

26.70.98

0.740.01

1.000.69

0.01G

L28h8

90315

S23520

203.61

1.904.61

1.986.61

6.47288

3.513.31

9.6226.7

16.026.7

1.000.83

0.010.94

0.640.01

GL28h

890

315S235

300

4.431.97

5.652.05

6.516.38

2453.41

3.1616.0

26.716.0

26.70.98

0.690.01

1.000.66

0.01G

L28h8

90315

S23530

204.43

1.975.65

2.056.51

6.38288

3.153.08

10.026.7

16.026.7

1.000.80

0.010.94

0.600.01

GL28h

990

315S235

100

2.651.77

3.281.86

6.005.91

2563.28

3.0518.0

30.018.0

30.00.99

0.830.01

1.000.78

0.01G

L28h9

90315

S23510

202.65

1.773.28

1.866.00

5.91288

3.222.84

10.530.0

18.030.0

1.000.88

0.010.89

0.680.01

GL28h

990

315S235

200

3.611.90

4.611.98

5.875.75

2572.90

2.6418.0

30.018.0

30.00.99

0.760.01

1.000.72

0.01G

L28h9

90315

S23520

203.61

1.904.61

1.985.87

5.75288

2.782.49

11.830.0

18.030.0

1.000.83

0.010.89

0.620.01

GL28h

990

315S235

300

4.431.97

5.652.05

5.795.67

2572.65

2.4118.0

29.918.0

30.00.98

0.720.01

1.000.69

0.01G

L28h9

90315

S23530

204.43

1.975.65

2.055.79

5.67288

2.492.30

12.430.0

18.030.0

1.000.80

0.010.90

0.580.01

GL28h

490

360S235

100

3.422.33

4.252.46

15.715.5

21022.8

22.07.15

11.18.00

13.31.00

0.760.02

1.000.69

0.02G

L28h4

90360

S23510

203.42

2.334.25

2.4615.7

15.5263

23.022.0

5.6011.1

8.0013.3

1.000.81

0.021.00

0.690.02

GL28h

490

360S235

200

4.692.51

6.072.64

15.415.1

14321.0

21.08.00

12.68.00

13.30.98

0.580.02

1.000.50

0.01G

L28h4

90360

S23520

204.69

2.516.07

2.6415.4

15.1179

21.621.0

7.5412.6

8.0013.3

1.000.62

0.021.00

0.500.01

GL28h

490

360S235

300

5.802.62

7.552.73

15.214.9

10920.1

20.78.00

12.88.00

13.30.96

0.470.01

1.000.41

0.01G

L28h4

90360

S23530

205.80

2.627.55

2.7315.2

14.9136

21.020.7

8.0012.8

8.0013.3

1.000.51

0.011.00

0.410.01

GL28h

590

360S235

100

3.422.33

4.252.46

12.512.4

21014.5

14.110.0

15.810.0

16.70.99

0.760.02

1.000.69

0.02G

L28h5

90360

S23510

203.42

2.334.25

2.4612.5

12.4262

14.714.1

7.7715.8

10.016.7

1.000.81

0.021.00

0.690.02

GL28h

590

360S235

200

4.692.51

6.072.64

12.312.1

17813.1

13.410.0

16.710.0

16.70.94

0.590.02

1.000.54

0.01G

L28h5

90360

S23520

204.69

2.516.07

2.6412.3

12.1223

13.813.3

9.2616.6

10.016.7

1.000.67

0.021.00

0.540.01

GL28h

590

360S235

300

5.802.62

7.552.73

12.211.9

16512.7

13.110.0

16.710.0

16.70.93

0.510.01

1.000.46

0.01G

L28h5

90360

S23530

205.80

2.627.55

2.7312.2

11.9207

13.313.1

9.5816.7

10.016.7

1.000.59

0.011.00

0.470.01


C-54

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

690

360S235

100

3.422.33

4.252.46

10.510.3

2279.92

9.7612.0

20.012.0

20.00.96

0.750.02

1.000.71

0.02G

L28h6

90360

S23510

203.42

2.334.25

2.4610.5

10.3284

10.29.76

8.7320.0

12.020.0

1.000.83

0.021.00

0.710.02

GL28h

690

360S235

200

4.692.51

6.072.64

10.310.1

2179.22

9.0812.0

20.012.0

20.00.95

0.640.01

1.000.59

0.01G

L28h6

90360

S23520

204.69

2.516.07

2.6410.3

10.1271

9.339.08

9.6420.0

12.020.0

1.000.74

0.011.00

0.590.01

GL28h

690

360S235

300

5.802.62

7.552.73

10.19.93

2098.80

8.7312.0

20.012.0

20.00.95

0.570.01

1.000.53

0.01G

L28h6

90360

S23530

205.80

2.627.55

2.7310.1

9.93262

8.818.73

10.120.0

12.020.0

1.000.67

0.011.00

0.530.01

GL28h

790

360S235

100

3.422.33

4.252.46

8.968.86

2497.38

7.1314.0

23.314.0

23.30.97

0.780.02

1.000.73

0.02G

L28h7

90360

S23510

203.42

2.334.25

2.468.96

8.86294

7.496.92

10.123.3

14.023.3

1.000.84

0.020.96

0.690.02

GL28h

790

360S235

200

4.692.51

6.072.64

8.818.64

2436.77

6.5114.0

23.314.0

23.30.96

0.680.01

1.000.63

0.01G

L28h7

90360

S23520

204.69

2.516.07

2.648.81

8.64303

6.656.51

9.4823.3

14.023.3

1.000.79

0.011.00

0.630.01

GL28h

790

360S235

300

5.802.62

7.552.73

8.698.51

2386.39

6.1814.0

23.314.0

23.30.96

0.620.01

1.000.57

0.01G

L28h7

90360

S23530

205.80

2.627.55

2.738.69

8.51298

6.156.17

10.023.3

14.023.3

1.000.74

0.011.00

0.580.01

GL28h

890

360S235

100

3.422.33

4.252.46

7.847.76

2655.69

5.4316.0

26.616.0

26.70.98

0.800.02

1.000.75

0.01G

L28h8

90360

S23510

203.42

2.334.25

2.467.84

7.76301

5.725.13

11.726.7

16.026.7

1.000.85

0.010.92

0.680.01

GL28h

890

360S235

200

4.692.51

6.072.64

7.717.56

2625.16

4.8716.0

26.616.0

26.70.97

0.710.01

1.000.66

0.01G

L28h8

90360

S23520

204.69

2.516.07

2.647.71

7.56327

4.944.88

8.6526.7

16.026.7

1.000.83

0.011.00

0.660.01

GL28h

890

360S235

300

5.802.62

7.552.73

7.617.45

2594.83

4.5716.0

26.616.0

26.70.97

0.650.01

1.000.61

0.01G

L28h8

90360

S23530

205.80

2.627.55

2.737.61

7.45323

4.494.56

9.5326.7

16.026.7

1.000.79

0.011.00

0.610.01

GL28h

990

360S235

100

3.422.33

4.252.46

6.976.89

2774.50

4.2618.0

30.018.0

30.00.99

0.820.02

1.000.77

0.01G

L28h9

90360

S23510

203.42

2.334.25

2.466.97

6.89307

4.513.95

13.230.0

18.030.0

1.000.86

0.010.89

0.670.01

GL28h

990

360S235

200

4.692.51

6.072.64

6.866.72

2764.06

3.7818.0

30.018.0

30.00.98

0.730.01

1.000.69

0.01G

L28h9

90360

S23520

204.69

2.516.07

2.646.86

6.72329

3.893.68

10.230.0

18.030.0

1.000.83

0.010.96

0.650.01

GL28h

990

360S235

300

5.802.62

7.552.73

6.766.62

2743.76

3.5018.0

30.018.0

30.00.97

0.680.01

1.000.64

0.01G

L28h9

90360

S23530

205.80

2.627.55

2.736.76

6.62329

3.503.43

10.730.0

18.030.0

1.000.80

0.010.96

0.610.01

GL28h

1090

360S235

100

3.422.33

4.252.46

6.276.20

2873.66

3.4320.0

33.220.0

33.30.99

0.830.02

1.000.78

0.01G

L28h10

90360

S23510

203.42

2.334.25

2.466.27

6.20307

3.653.10

15.833.3

20.033.3

1.000.86

0.010.85

0.640.01

GL28h

1090

360S235

200

4.692.51

6.072.64

6.176.05

2873.27

3.0020.0

33.320.0

33.30.98

0.750.01

1.000.71

0.01G

L28h10

90360

S23520

204.69

2.516.07

2.646.17

6.05329

3.152.86

12.233.3

20.033.3

1.000.83

0.010.92

0.630.01

GL28h

1090

360S235

300

5.802.62

7.552.73

6.095.96

2873.01

2.7620.0

33.320.0

33.30.98

0.710.01

1.000.67

0.01G

L28h10

90360

S23530

205.80

2.627.55

2.736.09

5.96329

2.842.65

12.933.4

20.033.3

1.000.80

0.010.92

0.590.01


C-55

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

1190

360S235

100

3.422.33

4.252.46

5.705.64

2953.03

2.8122.0

36.422.0

36.71.00

0.840.02

1.000.79

0.01G

L28h11

90360

S23510

203.42

2.334.25

2.465.70

5.64307

3.022.49

18.836.7

22.036.7

1.000.86

0.010.82

0.630.01

GL28h

1190

360S235

200

4.692.51

6.072.64

5.615.50

2962.69

2.4422.0

36.722.0

36.70.99

0.770.01

1.000.73

0.01G

L28h11

90360

S23520

204.69

2.516.07

2.645.61

5.50329

2.602.28

14.436.7

22.036.7

1.000.83

0.010.88

0.610.01

GL28h

1190

360S235

300

5.802.62

7.552.73

5.535.42

2972.46

2.2222.0

36.622.0

36.70.99

0.730.01

1.000.69

0.01G

L28h11

90360

S23530

205.80

2.627.55

2.735.53

5.42329

2.352.09

15.336.7

22.036.7

1.000.80

0.010.88

0.580.01

GL28h

490

405S235

100

4.262.96

5.303.13

17.817.7

25829.9

28.76.28

9.818.00

13.31.00

0.790.02

1.000.72

0.02G

L28h4

90405

S23510

204.26

2.965.30

3.1317.8

17.7307

30.228.7

5.0810.2

8.0013.3

1.000.83

0.021.00

0.710.02

GL28h

490

405S235

200

5.853.20

7.633.38

17.617.3

17927.9

27.27.42

11.48.00

13.31.00

0.620.02

1.000.53

0.01G

L28h4

90405

S23520

205.85

3.207.63

3.3817.6

17.3224

28.227.2

6.7011.4

8.0013.3

1.000.65

0.021.00

0.530.01

GL28h

490

405S235

300

7.283.35

9.603.51

17.417.1

13727.1

26.87.67

11.88.00

13.31.00

0.510.02

1.000.42

0.01G

L28h4

90405

S23530

207.28

3.359.60

3.5117.4

17.1172

27.326.8

7.2711.8

8.0013.3

1.000.54

0.021.00

0.420.01

GL28h

590

405S235

100

4.262.96

5.303.13

14.314.2

25719.1

18.48.66

13.610.0

16.71.00

0.790.02

1.000.72

0.02G

L28h5

90405

S23510

204.26

2.965.30

3.1314.3

14.2307

19.318.4

6.7414.1

10.016.7

1.000.83

0.021.00

0.710.02

GL28h

590

405S235

200

5.853.20

7.633.38

14.113.9

18017.3

17.410.0

16.110.0

16.70.96

0.600.02

1.000.53

0.01G

L28h5

90405

S23520

205.85

3.207.63

3.3814.1

13.9224

18.017.4

9.3616.1

10.016.7

1.000.65

0.021.00

0.530.01

GL28h

590

405S235

300

7.283.35

9.603.51

13.913.7

13816.2

17.110.0

16.710.0

16.70.93

0.470.02

1.000.42

0.01G

L28h5

90405

S23530

207.28

3.359.60

3.5113.9

13.7173

17.217.1

10.016.7

10.016.7

0.980.53

0.021.00

0.420.01

GL28h

690

405S235

100

4.262.96

5.303.13

11.911.8

25613.3

12.811.6

18.212.0

20.01.00

0.790.02

1.000.72

0.02G

L28h6

90405

S23510

204.26

2.965.30

3.1311.9

11.8307

13.412.8

8.7718.9

12.020.0

1.000.83

0.021.00

0.710.02

GL28h

690

405S235

200

5.853.20

7.633.38

11.811.6

21411.9

12.012.0

20.012.0

20.00.94

0.610.02

1.000.56

0.01G

L28h6

90405

S23520

205.85

3.207.63

3.3811.8

11.6268

12.512.0

10.720.0

12.020.0

1.000.70

0.021.00

0.560.01

GL28h

690

405S235

300

7.283.35

9.603.51

11.611.4

20211.5

11.712.0

20.012.0

20.00.94

0.540.01

1.000.49

0.01G

L28h6

90405

S23530

207.28

3.359.60

3.5111.6

11.4252

12.011.7

11.120.0

12.020.0

1.000.62

0.011.00

0.490.01

GL28h

790

405S235

100

4.262.96

5.303.13

10.210.1

2599.55

9.3814.0

23.314.0

23.30.97

0.770.02

1.000.72

0.02G

L28h7

90405

S23510

204.26

2.965.30

3.1310.2

10.1307

9.869.13

11.223.3

14.023.3

1.000.83

0.020.97

0.690.02

GL28h

790

405S235

200

5.853.20

7.633.38

10.19.90

2488.87

8.7114.0

23.314.0

23.30.95

0.650.02

1.000.60

0.01G

L28h7

90405

S23520

205.85

3.207.63

3.3810.1

9.90310

9.028.71

11.023.3

14.023.3

1.000.75

0.011.00

0.600.01

GL28h

790

405S235

300

7.283.35

9.603.51

10.09.75

2408.46

8.3614.0

23.314.0

23.30.95

0.580.01

1.000.54

0.01G

L28h7

90405

S23530

207.28

3.359.60

3.5110.0

9.75300

8.508.36

11.523.3

14.023.3

1.000.69

0.011.00

0.540.01


C-56

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

890

405S235

100

4.262.96

5.303.13

8.928.86

2797.39

7.1716.0

26.616.0

26.70.98

0.790.02

1.000.74

0.02G

L28h8

90405

S23510

204.26

2.965.30

3.138.92

8.86307

7.556.67

13.926.7

16.026.7

1.000.83

0.020.91

0.650.02

GL28h

890

405S235

200

5.853.20

7.633.38

8.828.67

2736.82

6.5616.0

26.616.0

26.70.96

0.690.01

1.000.64

0.01G

L28h8

90405

S23520

205.85

3.207.63

3.388.82

8.67341

6.766.56

10.626.7

16.026.7

1.000.79

0.011.00

0.640.01

GL28h

890

405S235

300

7.283.35

9.603.51

8.718.53

2676.43

6.2216.0

26.716.0

26.70.96

0.620.01

1.000.58

0.01G

L28h8

90405

S23530

207.28

3.359.60

3.518.71

8.53334

6.276.22

11.426.7

16.026.7

1.000.74

0.011.00

0.580.01

GL28h

990

405S235

100

4.262.96

5.303.13

7.937.87

2955.89

5.6518.0

29.918.0

30.00.98

0.810.02

1.000.76

0.02G

L28h9

90405

S23510

204.26

2.965.30

3.137.93

7.87307

5.975.06

17.130.0

18.030.0

1.000.83

0.020.86

0.620.02

GL28h

990

405S235

200

5.853.20

7.633.38

7.847.70

2915.38

5.1018.0

30.018.0

30.00.97

0.710.01

1.000.66

0.01G

L28h9

90405

S23520

205.85

3.207.63

3.387.84

7.70364

5.235.11

9.8730.0

18.030.0

1.000.83

0.011.00

0.660.01

GL28h

990

405S235

300

7.283.35

9.603.51

7.747.59

2885.05

4.7918.0

30.018.0

30.00.97

0.650.01

1.000.61

0.01G

L28h9

90405

S23530

207.28

3.359.60

3.517.74

7.59360

4.784.79

10.830.0

18.030.0

1.000.79

0.011.00

0.610.01

GL28h

1090

405S235

100

4.262.96

5.303.13

7.147.09

3074.79

4.5620.0

33.220.0

33.30.99

0.820.02

1.000.77

0.02G

L28h10

90405

S23510

204.26

2.965.30

3.137.14

7.09307

4.793.96

20.033.3

20.033.3

0.990.82

0.020.82

0.600.01

GL28h

1090

405S235

200

5.853.20

7.633.38

7.056.93

3064.36

4.0720.0

33.320.0

33.30.98

0.730.01

1.000.69

0.01G

L28h10

90405

S23520

205.85

3.207.63

3.387.05

6.93370

4.214.00

10.733.3

20.033.3

1.000.84

0.010.97

0.660.01

GL28h

1090

405S235

300

7.283.35

9.603.51

6.976.83

3044.06

3.7920.0

33.320.0

33.30.97

0.680.01

1.000.64

0.01G

L28h10

90405

S23530

207.28

3.359.60

3.516.97

6.83370

3.813.74

11.433.3

20.033.3

1.000.80

0.010.98

0.620.01

GL28h

1190

405S235

100

4.262.96

5.303.13

6.496.44

3073.88

3.6722.0

36.722.0

36.70.96

0.800.02

0.970.75

0.01G

L28h11

90405

S23510

204.26

2.965.30

3.136.49

6.44307

3.883.17

22.036.7

22.036.7

0.960.80

0.020.79

0.580.01

GL28h

1190

405S235

200

5.853.20

7.633.38

6.416.30

3173.59

3.3222.0

36.722.0

36.70.98

0.750.01

1.000.70

0.01G

L28h11

90405

S23520

205.85

3.207.63

3.386.41

6.30370

3.483.19

12.636.7

22.036.7

1.000.84

0.010.93

0.640.01

GL28h

1190

405S235

300

7.283.35

9.603.51

6.336.21

3173.33

3.0622.0

36.622.0

36.70.98

0.700.01

1.000.66

0.01G

L28h11

90405

S23530

207.28

3.359.60

3.516.33

6.21370

3.152.96

13.436.7

22.036.7

1.000.80

0.010.94

0.600.01

GL28h

490

450S235

100

5.163.66

6.403.88

20.019.9

30638.0

36.45.71

8.968.00

13.31.00

0.810.02

1.000.74

0.02G

L28h4

90450

S23510

205.16

3.666.40

3.8820.0

19.9307

38.136.0

5.6910.5

8.0013.3

1.000.81

0.021.00

0.700.02

GL28h

490

450S235

200

7.083.97

9.274.20

19.819.6

21635.3

34.36.88

10.68.00

13.31.00

0.640.02

1.000.55

0.02G

L28h4

90450

S23520

207.08

3.979.27

4.2019.8

19.6269

35.734.3

6.1510.6

8.0013.3

1.000.68

0.021.00

0.550.02

GL28h

490

450S235

300

8.834.17

11.84.38

19.619.3

16734.1

33.67.17

11.08.00

13.31.00

0.530.02

1.000.44

0.01G

L28h4

90450

S23530

208.83

4.1711.8

4.3819.6

19.3208

34.533.6

6.7611.0

8.0013.3

1.000.56

0.021.00

0.440.01


C-57

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

590

450S235

100

5.163.66

6.403.88

16.015.9

30724.4

23.37.54

11.910.0

16.71.00

0.810.02

1.000.75

0.02G

L28h5

90450

S23510

205.16

3.666.40

3.8816.0

15.9307

24.423.1

7.5414.4

10.016.7

1.000.81

0.021.00

0.700.02

GL28h

590

450S235

200

7.083.97

9.274.20

15.915.6

21722.6

21.99.48

14.610.0

16.71.00

0.640.02

1.000.55

0.02G

L28h5

90450

S23520

207.08

3.979.27

4.2015.9

15.6271

22.821.9

8.2914.6

10.016.7

1.000.68

0.021.00

0.550.02

GL28h

590

450S235

300

8.834.17

11.84.38

15.715.4

16621.8

21.510.0

15.310.0

16.71.00

0.530.02

1.000.44

0.01G

L28h5

90450

S23530

208.83

4.1711.8

4.3815.7

15.4207

22.021.5

9.3615.3

10.016.7

1.000.56

0.021.00

0.440.01

GL28h

690

450S235

100

5.163.66

6.403.88

13.313.3

30516.9

16.29.89

15.612.0

20.01.00

0.810.02

1.000.74

0.02G

L28h6

90450

S23510

205.16

3.666.40

3.8813.3

13.3307

16.916.0

9.8019.1

12.020.0

1.000.81

0.021.00

0.700.02

GL28h

690

450S235

200

7.083.97

9.274.20

13.213.0

21415.1

15.212.0

19.612.0

20.00.95

0.610.02

1.000.55

0.02G

L28h6

90450

S23520

207.08

3.979.27

4.2013.2

13.0267

15.915.2

11.119.6

12.020.0

1.000.68

0.021.00

0.550.02

GL28h

690

450S235

300

8.834.17

11.84.38

13.112.8

18414.3

14.912.0

20.012.0

20.00.93

0.510.02

1.000.45

0.01G

L28h6

90450

S23530

208.83

4.1711.8

4.3813.1

12.8230

15.314.9

11.920.0

12.020.0

1.000.58

0.021.00

0.450.01

GL28h

790

450S235

100

5.163.66

6.403.88

11.411.4

30312.4

11.912.7

20.114.0

23.31.00

0.810.02

1.000.74

0.02G

L28h7

90450

S23510

205.16

3.666.40

3.8811.4

11.4307

12.411.4

12.523.3

14.023.3

1.000.81

0.020.96

0.670.02

GL28h

790

450S235

200

7.083.97

9.274.20

11.311.2

24911.2

11.214.0

23.314.0

23.30.95

0.630.02

1.000.58

0.01G

L28h7

90450

S23520

207.08

3.979.27

4.2011.3

11.2311

11.611.2

12.023.3

14.023.3

1.000.72

0.021.00

0.580.01

GL28h

790

450S235

300

8.834.17

11.84.38

11.211.0

23610.7

10.814.0

23.314.0

23.30.94

0.560.01

1.000.50

0.01G

L28h7

90450

S23530

208.83

4.1711.8

4.3811.2

11.0295

11.110.8

12.623.3

14.023.3

1.000.65

0.011.00

0.500.01

GL28h

890

450S235

100

5.163.66

6.403.88

10.010.0

3039.50

9.1115.9

25.116.0

26.71.00

0.810.02

1.000.74

0.02G

L28h8

90450

S23510

205.16

3.666.40

3.8810.0

10.0307

9.518.33

15.626.7

16.026.7

1.000.81

0.020.90

0.630.02

GL28h

890

450S235

200

7.083.97

9.274.20

9.929.78

2808.64

8.4616.0

26.616.0

26.70.96

0.670.02

1.000.61

0.01G

L28h8

90450

S23520

207.08

3.979.27

4.209.92

9.78349

8.818.46

12.226.7

16.026.7

1.000.76

0.011.00

0.610.01

GL28h

890

450S235

300

8.834.17

11.84.38

9.829.63

2718.23

8.1016.0

26.716.0

26.70.95

0.600.01

1.000.55

0.01G

L28h8

90450

S23530

208.83

4.1711.8

4.389.82

9.63339

8.298.10

12.926.6

16.026.7

1.000.70

0.011.00

0.550.01

GL28h

990

450S235

100

5.163.66

6.403.88

8.898.85

3077.38

7.1718.0

30.018.0

30.00.97

0.790.02

1.000.74

0.02G

L28h9

90450

S23510

205.16

3.666.40

3.888.89

8.85307

7.386.31

18.030.0

18.030.0

0.970.79

0.020.85

0.600.02

GL28h

990

450S235

200

7.083.97

9.274.20

8.828.69

3036.86

6.6118.0

29.918.0

30.00.97

0.690.02

1.000.64

0.01G

L28h9

90450

S23520

207.08

3.979.27

4.208.82

8.69378

6.866.61

11.930.0

18.030.0

1.000.80

0.011.00

0.640.01

GL28h

990

450S235

300

8.834.17

11.84.38

8.738.56

2976.49

6.2618.0

30.018.0

30.00.96

0.630.01

1.000.58

0.01G

L28h9

90450

S23530

208.83

4.1711.8

4.388.73

8.56371

6.386.26

12.830.0

18.030.0

1.000.75

0.011.00

0.580.01


C-58

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

1090

450S235

100

5.163.66

6.403.88

8.007.97

3075.82

5.6320.0

33.320.0

33.30.93

0.770.02

0.950.72

0.02G

L28h10

90450

S23510

205.16

3.666.40

3.888.00

7.97307

5.824.93

20.033.3

20.033.3

0.930.77

0.020.80

0.580.02

GL28h

1090

450S235

200

7.083.97

9.274.20

7.947.82

3215.57

5.2920.0

33.320.0

33.30.97

0.720.02

1.000.67

0.01G

L28h10

90450

S23520

207.08

3.979.27

4.207.94

7.82401

5.485.30

11.033.3

20.033.3

1.000.83

0.011.00

0.670.01

GL28h

1090

450S235

300

8.834.17

11.84.38

7.857.70

3175.23

4.9720.0

33.320.0

33.30.97

0.660.01

1.000.61

0.01G

L28h10

90450

S23530

208.83

4.1711.8

4.387.85

7.70396

5.034.97

12.233.3

20.033.3

1.000.78

0.011.00

0.610.01

GL28h

1190

450S235

100

5.163.66

6.403.88

7.277.24

3074.71

4.5322.0

36.722.0

36.70.90

0.740.02

0.920.70

0.02G

L28h11

90450

S23510

205.16

3.666.40

3.887.27

7.24307

4.713.94

22.036.7

22.036.7

0.900.74

0.020.77

0.550.01

GL28h

1190

450S235

200

7.083.97

9.274.20

7.227.11

3354.60

4.3322.0

36.722.0

36.70.98

0.730.01

1.000.68

0.01G

L28h11

90450

S23520

207.08

3.979.27

4.207.22

7.11412

4.494.29

11.036.7

22.036.7

1.000.84

0.010.98

0.670.01

GL28h

1190

450S235

300

8.834.17

11.84.38

7.147.00

3334.30

4.0322.0

36.722.0

36.70.97

0.680.01

1.000.63

0.01G

L28h11

90450

S23530

208.83

4.1711.8

4.387.14

7.00412

4.084.01

11.836.7

22.036.7

1.000.81

0.010.99

0.630.01

GL28h

490

495S235

100

6.124.42

7.584.69

22.122.1

30746.3

44.96.08

9.538.00

13.31.00

0.800.02

1.000.73

0.02G

L28h4

90495

S23510

206.12

4.427.58

4.6922.1

22.1307

46.343.8

6.0810.7

8.0013.3

1.000.80

0.021.00

0.690.02

GL28h

490

495S235

200

8.374.81

11.05.11

22.121.8

25543.6

42.26.50

10.08.00

13.31.00

0.660.02

1.000.57

0.02G

L28h4

90495

S23520

208.37

4.8111.0

5.1122.1

21.8319

44.242.2

5.7210.0

8.0013.3

1.000.71

0.021.00

0.570.02

GL28h

490

495S235

300

10.55.06

14.05.34

21.921.5

19942.0

41.26.82

10.58.00

13.31.00

0.550.02

1.000.46

0.01G

L28h4

90495

S23530

2010.5

5.0614.0

5.3421.9

21.5249

42.541.2

6.3810.5

8.0013.3

1.000.58

0.021.00

0.460.01

GL28h

590

495S235

100

6.124.42

7.584.69

17.717.7

30729.7

28.78.00

12.610.0

16.71.00

0.800.02

1.000.73

0.02G

L28h5

90495

S23510

206.12

4.427.58

4.6917.7

17.7307

29.728.1

8.0014.4

10.016.7

1.000.80

0.021.00

0.690.02

GL28h

590

495S235

200

8.374.81

11.05.11

17.617.4

25527.9

27.08.75

13.510.0

16.71.00

0.660.02

1.000.57

0.02G

L28h5

90495

S23520

208.37

4.8111.0

5.1117.6

17.4318

28.327.0

7.5413.5

10.016.7

1.000.71

0.021.00

0.570.02

GL28h

590

495S235

300

10.55.06

14.05.34

17.517.2

19826.9

26.49.30

14.310.0

16.71.00

0.550.02

1.000.46

0.01G

L28h5

90495

S23530

2010.5

5.0614.0

5.3417.5

17.2248

27.226.4

8.6014.3

10.016.7

1.000.58

0.021.00

0.460.01

GL28h

690

495S235

100

6.124.42

7.584.69

14.814.7

30720.6

19.910.3

16.312.0

20.01.00

0.800.02

1.000.73

0.02G

L28h6

90495

S23510

206.12

4.427.58

4.6914.8

14.7307

20.619.5

10.319.0

12.020.0

1.000.80

0.021.00

0.690.02

GL28h

690

495S235

200

8.374.81

11.05.11

14.714.5

25619.4

18.811.5

17.712.0

20.01.00

0.660.02

1.000.57

0.02G

L28h6

90495

S23520

208.37

4.8111.0

5.1114.7

14.5320

19.618.8

9.6717.7

12.020.0

1.000.71

0.021.00

0.570.02

GL28h

690

495S235

300

10.55.06

14.05.34

14.614.3

19918.3

18.312.0

18.812.0

20.00.98

0.540.02

1.000.46

0.01G

L28h6

90495

S23530

2010.5

5.0614.0

5.3414.6

14.3248

18.918.3

11.318.9

12.020.0

1.000.58

0.021.00

0.460.01


C-59

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

790

495S235

100

6.124.42

7.584.69

12.612.6

30715.1

14.713.1

20.714.0

23.31.00

0.800.02

1.000.73

0.02G

L28h7

90495

S23510

206.12

4.427.58

4.6912.6

12.6307

15.114.0

13.123.3

14.023.3

1.000.80

0.020.97

0.670.02

GL28h

790

495S235

200

8.374.81

11.05.11

12.612.4

25413.8

13.814.0

22.714.0

23.30.96

0.640.02

1.000.57

0.02G

L28h7

90495

S23520

208.37

4.8111.0

5.1112.6

12.4317

14.413.8

12.422.8

14.023.3

1.000.71

0.021.00

0.570.02

GL28h

790

495S235

300

10.55.06

14.05.34

12.512.3

22413.1

13.414.0

23.314.0

23.30.93

0.530.02

1.000.48

0.01G

L28h7

90495

S23530

2010.5

5.0614.0

5.3412.5

12.3279

13.913.4

13.523.3

14.023.3

1.000.61

0.021.00

0.480.01

GL28h

890

495S235

100

6.124.42

7.584.69

11.111.1

30711.5

11.216.0

25.716.0

26.70.99

0.790.02

1.000.73

0.02G

L28h8

90495

S23510

206.12

4.427.58

4.6911.1

11.1307

11.510.2

16.026.7

16.026.7

0.990.79

0.020.90

0.630.02

GL28h

890

495S235

200

8.374.81

11.05.11

11.010.9

28110.6

10.516.0

26.716.0

26.70.95

0.650.02

1.000.60

0.02G

L28h8

90495

S23520

208.37

4.8111.0

5.1111.0

10.9352

11.010.5

13.426.6

16.026.7

1.000.74

0.021.00

0.600.02

GL28h

890

495S235

300

10.55.06

14.05.34

10.910.7

26910.2

10.216.0

26.616.0

26.70.94

0.570.02

1.000.52

0.01G

L28h8

90495

S23530

2010.5

5.0614.0

5.3410.9

10.7336

10.510.2

14.126.6

16.026.7

1.000.67

0.011.00

0.520.01

GL28h

990

495S235

100

6.124.42

7.584.69

9.849.83

3078.81

8.6818.0

30.018.0

30.00.94

0.760.02

0.970.71

0.02G

L28h9

90495

S23510

206.12

4.427.58

4.699.84

9.83307

8.817.69

18.030.0

18.030.0

0.940.76

0.020.85

0.600.02

GL28h

990

495S235

200

8.374.81

11.05.11

9.809.68

3108.45

8.2818.0

30.018.0

30.00.96

0.680.02

1.000.62

0.01G

L28h9

90495

S23520

208.37

4.8111.0

5.119.80

9.68388

8.668.28

13.429.9

18.030.0

1.000.77

0.011.00

0.630.01

GL28h

990

495S235

300

10.55.06

14.05.34

9.719.54

3018.05

7.9118.0

30.018.0

30.00.95

0.610.01

1.000.56

0.01G

L28h9

90495

S23530

2010.5

5.0614.0

5.349.71

9.54376

8.167.91

14.330.0

18.030.0

1.000.71

0.011.00

0.560.01

GL28h

1090

495S235

100

6.124.42

7.584.69

8.858.84

3076.94

6.8120.0

33.320.0

33.30.90

0.730.02

0.930.69

0.02G

L28h10

90495

S23510

206.12

4.427.58

4.698.85

8.84307

6.946.00

20.033.3

20.033.3

0.900.73

0.020.80

0.570.02

GL28h

1090

495S235

200

8.374.81

11.05.11

8.828.71

3326.89

6.6520.0

33.320.0

33.30.97

0.700.02

1.000.65

0.01G

L28h10

90495

S23520

208.37

4.8111.0

5.118.82

8.71415

6.956.65

13.133.3

20.033.3

1.000.80

0.011.00

0.650.01

GL28h

1090

495S235

300

10.55.06

14.05.34

8.748.58

3266.53

6.3120.0

33.320.0

33.30.96

0.640.01

1.000.59

0.01G

L28h10

90495

S23530

2010.5

5.0614.0

5.348.74

8.58408

6.476.30

14.033.3

20.033.3

1.000.75

0.011.00

0.590.01

GL28h

1190

495S235

100

6.124.42

7.584.69

8.058.04

3075.60

5.4622.0

36.722.0

36.70.87

0.710.02

0.890.66

0.02G

L28h11

90495

S23510

206.12

4.427.58

4.698.05

8.04307

5.604.79

22.036.7

22.036.7

0.870.71

0.020.76

0.540.02

GL28h

1190

495S235

200

8.374.81

11.05.11

8.027.92

3505.72

5.4622.0

36.722.0

36.70.97

0.720.02

1.000.67

0.01G

L28h11

90495

S23520

208.37

4.8111.0

5.118.02

7.92438

5.695.46

12.236.6

22.036.7

1.000.83

0.011.00

0.670.01

GL28h

1190

495S235

300

10.55.06

14.05.34

7.957.80

3465.39

5.1322.0

36.622.0

36.70.97

0.660.01

1.000.61

0.01G

L28h11

90495

S23530

2010.5

5.0614.0

5.347.95

7.80432

5.255.13

13.536.7

22.036.7

1.000.78

0.011.00

0.610.01


C-60

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

4115

225S235

100

1.731.11

2.091.15

11.711.4

1999.20

8.848.00

13.38.00

13.30.97

0.750.01

1.000.71

0.01G

L28h4

115225

S23510

201.73

1.112.09

1.1511.7

11.4248

8.868.83

5.1913.3

8.0013.3

1.000.84

0.011.00

0.710.01

GL28h

4115

225S235

200

2.271.17

2.751.20

11.311.0

1938.33

8.068.00

13.38.00

13.30.96

0.660.01

1.000.63

0.01G

L28h4

115225

S23520

202.27

1.172.75

1.2011.3

11.0242

7.768.06

5.6513.3

8.0013.3

1.000.78

0.011.00

0.630.01

GL28h

4115

225S235

300

2.681.21

3.221.24

11.211.0

1907.93

7.788.00

13.38.00

13.30.96

0.610.01

1.000.59

0.01G

L28h4

115225

S23530

202.68

1.213.22

1.2411.2

11.0238

7.207.78

5.8913.3

8.0013.3

1.000.74

0.011.00

0.590.01

GL28h

5115

225S235

100

1.731.11

2.091.15

9.339.09

2225.80

5.4310.0

16.610.0

16.70.98

0.790.01

1.000.75

0.01G

L28h5

115225

S23510

201.73

1.112.09

1.159.33

9.09263

5.515.28

5.8416.7

10.016.7

1.000.87

0.010.95

0.710.01

GL28h

5115

225S235

200

2.271.17

2.751.20

9.048.82

2205.12

4.7910.0

16.610.0

16.70.97

0.720.01

1.000.69

0.01G

L28h5

115225

S23520

202.27

1.172.75

1.209.04

8.82263

4.644.71

6.1816.7

10.016.7

1.000.82

0.010.96

0.650.01

GL28h

5115

225S235

300

2.681.21

3.221.24

8.958.82

2184.76

4.5110.0

16.710.0

16.70.97

0.680.01

1.000.65

0.01G

L28h5

115225

S23530

202.68

1.213.22

1.248.95

8.82263

4.154.46

6.3216.7

10.016.7

1.000.80

0.010.97

0.620.01

GL28h

6115

225S235

100

1.731.11

2.091.15

7.777.58

2373.97

3.6412.0

19.912.0

20.00.99

0.820.01

1.000.78

0.01G

L28h6

115225

S23510

201.73

1.112.09

1.157.77

7.58263

3.823.41

8.0420.0

12.020.0

1.000.87

0.010.88

0.670.01

GL28h

6115

225S235

200

2.271.17

2.751.20

7.537.35

2373.44

3.1312.0

19.912.0

20.00.98

0.760.01

1.000.73

0.01G

L28h6

115225

S23520

202.27

1.172.75

1.207.53

7.35263

3.222.97

8.5820.0

12.020.0

1.000.82

0.010.89

0.620.01

GL28h

6115

225S235

300

2.681.21

3.221.24

7.467.35

2363.14

2.9012.0

20.012.0

20.00.98

0.720.01

1.000.70

0.00G

L28h6

115225

S23530

202.68

1.213.22

1.247.46

7.35263

2.882.78

8.8220.0

12.020.0

1.000.80

0.010.89

0.590.00

GL28h

7115

225S235

100

1.731.11

2.091.15

6.666.50

2472.88

2.6114.0

23.314.0

23.30.99

0.840.01

1.000.80

0.01G

L28h7

115225

S23510

201.73

1.112.09

1.156.66

6.50263

2.812.36

10.623.3

14.023.3

1.000.87

0.010.83

0.640.01

GL28h

7115

225S235

200

2.271.17

2.751.20

6.456.30

2482.45

2.1914.0

23.314.0

23.30.99

0.780.01

1.000.76

0.01G

L28h7

115225

S23520

202.27

1.172.75

1.206.45

6.30263

2.362.02

11.423.3

14.023.3

1.000.82

0.010.83

0.590.01

GL28h

7115

225S235

300

2.681.21

3.221.24

6.396.30

2492.21

2.0014.0

23.314.0

23.30.99

0.760.01

1.000.74

0.00G

L28h7

115225

S23530

202.68

1.213.22

1.246.39

6.30263

2.121.87

11.823.3

14.023.3

1.000.80

0.010.83

0.570.00

GL28h

4115

270S235

100

2.551.65

3.141.72

14.414.1

20514.4

14.38.00

13.38.00

13.30.95

0.710.02

1.000.67

0.01G

L28h4

115270

S23510

202.55

1.653.14

1.7214.4

14.1256

14.714.3

6.4913.3

8.0013.3

1.000.79

0.011.00

0.670.01

GL28h

4115

270S235

200

3.441.75

4.301.81

14.013.7

19213.4

13.48.00

13.38.00

13.30.95

0.600.01

1.000.56

0.01G

L28h4

115270

S23520

203.44

1.754.30

1.8114.0

13.7240

13.513.4

6.9713.3

8.0013.3

1.000.69

0.011.00

0.560.01

GL28h

4115

270S235

300

4.151.81

5.161.87

13.913.6

18413.0

13.18.00

13.38.00

13.30.95

0.530.01

1.000.50

0.01G

L28h4

115270

S23530

204.15

1.815.16

1.8713.9

13.6230

12.913.1

7.1813.3

8.0013.3

1.000.63

0.011.00

0.500.01


C-61

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

5115

270S235

100

2.551.65

3.141.72

11.611.3

2399.27

8.9210.0

16.710.0

16.70.97

0.750.01

1.000.71

0.01G

L28h5

115270

S23510

202.55

1.653.14

1.7211.6

11.3299

9.098.92

6.2116.6

10.016.7

1.000.85

0.011.00

0.710.01

GL28h

5115

270S235

200

3.441.75

4.301.81

11.211.0

2328.41

8.1110.0

16.710.0

16.70.96

0.660.01

1.000.62

0.01G

L28h5

115270

S23520

203.44

1.754.30

1.8111.2

11.0291

8.008.11

6.9516.6

10.016.7

1.000.78

0.011.00

0.620.01

GL28h

5115

270S235

300

4.151.81

5.161.87

11.110.9

2287.96

7.7510.0

16.710.0

16.70.96

0.610.01

1.000.57

0.01G

L28h5

115270

S23530

204.15

1.815.16

1.8711.1

10.9285

7.417.75

7.3416.7

10.016.7

1.000.73

0.011.00

0.570.01

GL28h

6115

270S235

100

2.551.65

3.141.72

9.639.43

2616.42

6.0512.0

20.012.0

20.00.98

0.790.01

1.000.74

0.01G

L28h6

115270

S23510

202.55

1.653.14

1.729.63

9.43309

6.245.88

7.2620.0

12.020.0

1.000.86

0.010.95

0.700.01

GL28h

6115

270S235

200

3.441.75

4.301.81

9.369.15

2585.72

5.3612.0

20.012.0

20.00.97

0.700.01

1.000.67

0.01G

L28h6

115270

S23520

203.44

1.754.30

1.819.36

9.15315

5.275.31

7.0320.0

12.020.0

1.000.82

0.010.98

0.650.01

GL28h

6115

270S235

300

4.151.81

5.161.87

9.249.06

2565.32

5.0312.0

20.012.0

20.00.97

0.660.01

1.000.63

0.01G

L28h6

115270

S23530

204.15

1.815.16

1.879.24

9.06315

4.715.01

7.2220.0

12.020.0

1.000.79

0.010.99

0.620.01

GL28h

7115

270S235

100

2.551.65

3.141.72

8.258.08

2764.69

4.3514.0

23.314.0

23.30.99

0.810.01

1.000.77

0.01G

L28h7

115270

S23510

202.55

1.653.14

1.728.25

8.08315

4.554.12

8.4723.3

14.023.3

1.000.87

0.010.91

0.680.01

GL28h

7115

270S235

200

3.441.75

4.301.81

8.037.84

2764.12

3.7814.0

23.314.0

23.30.98

0.740.01

1.000.70

0.01G

L28h7

115270

S23520

203.44

1.754.30

1.818.03

7.84315

3.873.62

9.2123.3

14.023.3

1.000.82

0.010.91

0.620.01

GL28h

7115

270S235

300

4.151.81

5.161.87

7.927.77

2753.78

3.4914.0

23.314.0

23.30.98

0.700.01

1.000.67

0.01G

L28h7

115270

S23530

204.15

1.815.16

1.877.92

7.77315

3.463.38

9.5123.3

14.023.3

1.000.79

0.010.92

0.590.01

GL28h

8115

270S235

100

2.551.65

3.141.72

7.227.07

2883.58

3.2816.0

26.616.0

26.70.99

0.830.01

1.000.79

0.01G

L28h8

115270

S23510

202.55

1.653.14

1.727.22

7.07315

3.493.02

10.726.7

16.026.7

1.000.87

0.010.86

0.660.01

GL28h

8115

270S235

200

3.441.75

4.301.81

7.026.86

2893.10

2.8016.0

26.616.0

26.70.99

0.770.01

1.000.73

0.01G

L28h8

115270

S23520

203.44

1.754.30

1.817.02

6.86315

2.972.61

11.726.7

16.026.7

1.000.82

0.010.86

0.600.01

GL28h

8115

270S235

300

4.151.81

5.161.87

6.936.80

2892.81

2.5516.0

26.716.0

26.70.98

0.730.01

1.000.70

0.01G

L28h8

115270

S23530

204.15

1.815.16

1.876.93

6.80315

2.652.40

12.226.7

16.026.7

1.000.79

0.010.87

0.570.01

GL28h

4115

315S235

100

3.472.28

4.312.39

17.217.0

20620.6

20.68.00

13.18.00

13.30.96

0.700.02

1.000.64

0.02G

L28h4

115315

S23510

203.47

2.284.31

2.3917.2

17.0257

21.520.6

7.1313.1

8.0013.3

1.000.76

0.021.00

0.640.02

GL28h

4115

315S235

200

4.752.44

6.072.54

16.816.5

17419.2

19.88.00

13.38.00

13.30.93

0.550.01

1.000.50

0.01G

L28h4

115315

S23520

204.75

2.446.07

2.5416.8

16.5218

20.319.8

7.8013.3

8.0013.3

1.000.62

0.011.00

0.500.01

GL28h

4115

315S235

300

5.832.53

7.442.63

16.616.3

15718.8

19.68.00

13.38.00

13.30.93

0.470.01

1.000.43

0.01G

L28h4

115315

S23530

205.83

2.537.44

2.6316.6

16.3196

19.819.6

8.0013.3

8.0013.3

1.000.54

0.011.00

0.430.01


C-62

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

5115

315S235

100

3.472.28

4.312.39

13.813.6

24813.3

13.110.0

16.610.0

16.70.96

0.730.02

1.000.68

0.02G

L28h5

115315

S23510

203.47

2.284.31

2.3913.8

13.6310

13.613.1

7.6716.6

10.016.7

1.000.81

0.021.00

0.680.02

GL28h

5115

315S235

200

4.752.44

6.072.54

13.513.2

23512.4

12.210.0

16.610.0

16.70.95

0.610.01

1.000.57

0.01G

L28h5

115315

S23520

204.75

2.446.07

2.5413.5

13.2293

12.412.2

8.3816.7

10.016.7

1.000.71

0.011.00

0.570.01

GL28h

5115

315S235

300

5.832.53

7.442.63

13.313.0

22611.9

11.810.0

16.710.0

16.70.95

0.550.01

1.000.51

0.01G

L28h5

115315

S23530

205.83

2.537.44

2.6313.3

13.0282

11.811.9

8.6916.7

10.016.7

1.000.65

0.011.00

0.510.01

GL28h

6115

315S235

100

3.472.28

4.312.39

11.511.3

2789.31

8.9912.0

20.012.0

20.00.97

0.760.02

1.000.72

0.01G

L28h6

115315

S23510

203.47

2.284.31

2.3911.5

11.3348

9.288.99

7.3020.0

12.020.0

1.000.85

0.011.00

0.720.01

GL28h

6115

315S235

200

4.752.44

6.072.54

11.211.0

2718.50

8.1812.0

20.012.0

20.00.96

0.660.01

1.000.62

0.01G

L28h6

115315

S23520

204.75

2.446.07

2.5411.2

11.0339

8.218.18

8.2520.0

12.020.0

1.000.78

0.011.00

0.620.01

GL28h

6115

315S235

300

5.832.53

7.442.63

11.110.8

2668.03

7.7812.0

20.012.0

20.00.96

0.610.01

1.000.57

0.01G

L28h6

115315

S23530

205.83

2.537.44

2.6311.1

10.8332

7.607.78

8.7620.0

12.020.0

1.000.73

0.011.00

0.570.01

GL28h

7115

315S235

100

3.472.28

4.312.39

9.859.69

3006.87

6.5114.0

23.314.0

23.30.98

0.790.02

1.000.74

0.01G

L28h7

115315

S23510

203.47

2.284.31

2.399.85

9.69347

6.826.24

9.5123.3

14.023.3

1.000.85

0.010.93

0.680.01

GL28h

7115

315S235

200

4.752.44

6.072.54

9.639.42

2966.17

5.8114.0

23.314.0

23.30.97

0.700.01

1.000.66

0.01G

L28h7

115315

S23520

204.75

2.446.07

2.549.63

9.42368

5.785.80

7.7223.3

14.023.3

1.000.82

0.011.00

0.650.01

GL28h

7115

315S235

300

5.832.53

7.442.63

9.499.29

2935.75

5.4414.0

23.314.0

23.30.97

0.650.01

1.000.61

0.01G

L28h7

115315

S23530

205.83

2.537.44

2.639.49

9.29366

5.205.44

8.1923.3

14.023.3

1.000.79

0.011.00

0.610.01

GL28h

8115

315S235

100

3.472.28

4.312.39

8.628.48

3155.25

4.9316.0

26.716.0

26.70.99

0.810.01

1.000.76

0.01G

L28h8

115315

S23510

203.47

2.284.31

2.398.62

8.48354

5.204.61

10.926.7

16.026.7

1.000.86

0.010.90

0.670.01

GL28h

8115

315S235

200

4.752.44

6.072.54

8.428.24

3144.67

4.3216.0

26.716.0

26.70.98

0.730.01

1.000.69

0.01G

L28h8

115315

S23520

204.75

2.446.07

2.548.42

8.24368

4.424.18

9.7026.7

16.026.7

1.000.82

0.010.94

0.630.01

GL28h

8115

315S235

300

5.832.53

7.442.63

8.308.13

3134.31

3.9916.0

26.716.0

26.70.98

0.690.01

1.000.65

0.01G

L28h8

115315

S23530

205.83

2.537.44

2.638.30

8.13368

3.963.90

10.126.7

16.026.7

1.000.80

0.010.94

0.600.01

GL28h

9115

315S235

100

3.472.28

4.312.39

7.667.54

3274.15

3.8518.0

30.018.0

30.00.99

0.820.01

1.000.78

0.01G

L28h9

115315

S23510

203.47

2.284.31

2.397.66

7.54363

4.083.56

11.630.0

18.030.0

1.000.87

0.010.88

0.660.01

GL28h

9115

315S235

200

4.752.44

6.072.54

7.497.32

3283.65

3.3318.0

30.018.0

30.00.98

0.750.01

1.000.71

0.01G

L28h9

115315

S23520

204.75

2.446.07

2.547.49

7.32368

3.493.14

11.930.0

18.030.0

1.000.82

0.010.89

0.610.01

GL28h

9115

315S235

300

5.832.53

7.442.63

7.387.23

3283.34

3.0418.0

30.018.0

30.00.98

0.710.01

1.000.68

0.01G

L28h9

115315

S23530

205.83

2.537.44

2.637.38

7.23368

3.132.90

12.530.0

18.030.0

1.000.80

0.010.90

0.580.01


C-63

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

4115

360S235

100

4.483.00

5.593.16

20.019.8

26129.0

27.97.28

11.38.00

13.31.00

0.750.02

1.000.67

0.02G

L28h4

115360

S23510

204.48

3.005.59

3.1620.0

19.8326

29.327.9

5.8411.3

8.0013.3

1.000.80

0.021.00

0.670.02

GL28h

4115

360S235

200

6.183.23

8.013.39

19.719.3

17826.7

26.78.00

12.68.00

13.30.98

0.570.02

1.000.49

0.01G

L28h4

115360

S23520

206.18

3.238.01

3.3919.7

19.3223

27.526.7

7.5912.6

8.0013.3

1.000.61

0.021.00

0.490.01

GL28h

4115

360S235

300

7.663.37

9.963.51

19.419.0

13525.7

26.58.00

12.88.00

13.30.96

0.460.01

1.000.39

0.01G

L28h4

115360

S23530

207.66

3.379.96

3.5119.4

19.0168

26.726.5

8.0012.8

8.0013.3

1.000.49

0.011.00

0.390.01

GL28h

5115

360S235

100

4.483.00

5.593.16

16.015.8

26018.2

17.910.0

16.110.0

16.70.97

0.730.02

1.000.67

0.02G

L28h5

115360

S23510

204.48

3.005.59

3.1616.0

15.8325

18.717.9

8.1416.1

10.016.7

1.000.80

0.021.00

0.670.02

GL28h

5115

360S235

200

6.183.23

8.013.39

15.715.4

22516.7

17.010.0

16.710.0

16.70.94

0.580.02

1.000.53

0.01G

L28h5

115360

S23520

206.18

3.238.01

3.3915.7

15.4281

17.517.0

9.3416.7

10.016.7

1.000.66

0.021.00

0.530.01

GL28h

5115

360S235

300

7.663.37

9.963.51

15.515.2

20916.2

16.610.0

16.710.0

16.70.94

0.500.01

1.000.45

0.01G

L28h5

115360

S23530

207.66

3.379.96

3.5115.5

15.2261

16.916.6

9.6216.7

10.016.7

1.000.58

0.011.00

0.450.01

GL28h

6115

360S235

100

4.483.00

5.593.16

13.313.2

28912.6

12.412.0

20.012.0

20.00.96

0.740.02

1.000.70

0.02G

L28h6

115360

S23510

204.48

3.005.59

3.1613.3

13.2362

13.012.4

8.7920.0

12.020.0

1.000.83

0.021.00

0.700.02

GL28h

6115

360S235

200

6.183.23

8.013.39

13.112.8

27611.7

11.512.0

20.012.0

20.00.95

0.630.01

1.000.58

0.01G

L28h6

115360

S23520

206.18

3.238.01

3.3913.1

12.8345

11.811.5

9.7020.0

12.020.0

1.000.73

0.011.00

0.580.01

GL28h

6115

360S235

300

7.663.37

9.963.51

12.912.7

26611.2

11.112.0

20.012.0

20.00.95

0.560.01

1.000.52

0.01G

L28h6

115360

S23530

207.66

3.379.96

3.5112.9

12.7332

11.211.1

10.220.0

12.020.0

1.000.66

0.011.00

0.520.01

GL28h

7115

360S235

100

4.483.00

5.593.16

11.411.3

3179.36

9.0514.0

23.314.0

23.30.97

0.770.02

1.000.72

0.02G

L28h7

115360

S23510

204.48

3.005.59

3.1611.4

11.3397

9.439.05

8.3123.3

14.023.3

1.000.86

0.011.00

0.720.02

GL28h

7115

360S235

200

6.183.23

8.013.39

11.211.0

3098.56

8.2514.0

23.314.0

23.30.96

0.670.01

1.000.62

0.01G

L28h7

115360

S23520

206.18

3.238.01

3.3911.2

11.0387

8.398.25

9.5123.3

14.023.3

1.000.78

0.011.00

0.620.01

GL28h

7115

360S235

300

7.663.37

9.963.51

11.110.8

3038.09

7.8314.0

23.314.0

23.30.96

0.610.01

1.000.57

0.01G

L28h7

115360

S23530

207.66

3.379.96

3.5111.1

10.8379

7.777.83

10.123.3

14.023.3

1.000.73

0.011.00

0.570.01

GL28h

8115

360S235

100

4.483.00

5.593.16

10.09.89

3387.21

6.8816.0

26.616.0

26.70.98

0.790.02

1.000.74

0.01G

L28h8

115360

S23510

204.48

3.005.59

3.1610.0

9.89382

7.256.48

12.026.7

16.026.7

1.000.84

0.010.92

0.660.01

GL28h

8115

360S235

200

6.183.23

8.013.39

9.839.64

3346.53

6.1716.0

26.616.0

26.70.97

0.700.01

1.000.65

0.01G

L28h8

115360

S23520

206.18

3.238.01

3.399.83

9.64417

6.226.17

8.8126.7

16.026.7

1.000.82

0.011.00

0.650.01

GL28h

8115

360S235

300

7.663.37

9.963.51

9.709.49

3306.10

5.7816.0

26.716.0

26.70.97

0.650.01

1.000.61

0.01G

L28h8

115360

S23530

207.66

3.379.96

3.519.70

9.49413

5.645.78

9.5426.6

16.026.7

1.000.78

0.011.00

0.610.01


C-64

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

9115

360S235

100

4.483.00

5.593.16

8.908.79

3545.71

5.3918.0

29.918.0

30.00.99

0.810.02

1.000.76

0.01G

L28h9

115360

S23510

204.48

3.005.59

3.168.90

8.79390

5.724.99

13.630.0

18.030.0

1.000.85

0.010.89

0.650.01

GL28h

9115

360S235

200

6.183.23

8.013.39

8.748.57

3525.12

4.7718.0

30.018.0

30.00.98

0.720.01

1.000.68

0.01G

L28h9

115360

S23520

206.18

3.238.01

3.398.74

8.57421

4.894.66

10.230.0

18.030.0

1.000.83

0.010.96

0.640.01

GL28h

9115

360S235

300

7.663.37

9.963.51

8.628.44

3504.75

4.4218.0

30.018.0

30.00.97

0.680.01

1.000.64

0.01G

L28h9

115360

S23530

207.66

3.379.96

3.518.62

8.44421

4.404.34

10.730.0

18.030.0

1.000.80

0.010.96

0.600.01

GL28h

4115

405S235

100

5.583.81

6.974.03

22.822.6

32038.0

36.56.43

10.08.00

13.31.00

0.780.02

1.000.70

0.02G

L28h4

115405

S23510

205.58

3.816.97

4.0322.8

22.6400

38.436.5

4.9110.0

8.0013.3

1.000.83

0.021.00

0.700.02

GL28h

4115

405S235

200

7.714.12

10.14.34

22.522.1

22235.4

34.67.45

11.48.00

13.31.00

0.600.02

1.000.51

0.01G

L28h4

115405

S23520

207.71

4.1210.1

4.3422.5

22.1277

35.834.6

6.8011.5

8.0013.3

1.000.64

0.021.00

0.510.01

GL28h

4115

405S235

300

9.614.31

12.74.51

22.221.8

16934.5

34.27.67

11.88.00

13.31.00

0.490.02

1.000.41

0.01G

L28h4

115405

S23530

209.61

4.3112.7

4.5122.2

21.8211

34.834.2

7.3211.8

8.0013.3

1.000.52

0.021.00

0.410.01

GL28h

5115

405S235

100

5.583.81

6.974.03

18.218.1

32024.3

23.38.87

13.910.0

16.71.00

0.780.02

1.000.70

0.02G

L28h5

115405

S23510

205.58

3.816.97

4.0318.2

18.1400

24.523.3

6.4913.9

10.016.7

1.000.83

0.021.00

0.700.02

GL28h

5115

405S235

200

7.714.12

10.14.34

18.017.7

22121.8

22.210.0

16.210.0

16.70.95

0.580.02

1.000.51

0.01G

L28h5

115405

S23520

207.71

4.1210.1

4.3418.0

17.7276

22.922.2

9.5416.2

10.016.7

1.000.64

0.021.00

0.510.01

GL28h

5115

405S235

300

9.614.31

12.74.51

17.817.4

17220.7

21.910.0

16.710.0

16.70.93

0.460.01

1.000.41

0.01G

L28h5

115405

S23530

209.61

4.3112.7

4.5117.8

17.4215

21.821.9

10.016.7

10.016.7

0.980.51

0.011.00

0.410.01

GL28h

6115

405S235

100

5.583.81

6.974.03

15.215.1

31816.9

16.211.9

18.712.0

20.01.00

0.770.02

1.000.70

0.02G

L28h6

115405

S23510

205.58

3.816.97

4.0315.2

15.1397

17.016.2

8.5618.7

12.020.0

1.000.83

0.021.00

0.700.02

GL28h

6115

405S235

200

7.714.12

10.14.34

15.014.7

27215.2

15.312.0

20.012.0

20.00.94

0.600.02

1.000.55

0.01G

L28h6

115405

S23520

207.71

4.1210.1

4.3415.0

14.7339

15.915.3

10.820.0

12.020.0

1.000.69

0.021.00

0.550.01

GL28h

6115

405S235

300

9.614.31

12.74.51

14.814.5

25514.6

14.912.0

20.012.0

20.00.94

0.520.01

1.000.48

0.01G

L28h6

115405

S23530

209.61

4.3112.7

4.5114.8

14.5319

15.214.9

11.220.0

12.020.0

1.000.61

0.011.00

0.480.01

GL28h

7115

405S235

100

5.583.81

6.974.03

13.012.9

33012.1

11.914.0

23.314.0

23.30.97

0.760.02

1.000.71

0.02G

L28h7

115405

S23510

205.58

3.816.97

4.0313.0

12.9412

12.511.9

9.9123.3

14.023.3

1.000.84

0.021.00

0.710.02

GL28h

7115

405S235

200

7.714.12

10.14.34

12.912.6

31611.3

11.114.0

23.314.0

23.30.95

0.640.02

1.000.59

0.01G

L28h7

115405

S23520

207.71

4.1210.1

4.3412.9

12.6395

11.411.1

11.023.3

14.023.3

1.000.74

0.011.00

0.590.01

GL28h

7115

405S235

300

9.614.31

12.74.51

12.712.4

30510.7

10.614.0

23.314.0

23.30.95

0.570.01

1.000.53

0.01G

L28h7

115405

S23530

209.61

4.3112.7

4.5112.7

12.4382

10.810.6

11.623.3

14.023.3

1.000.68

0.011.00

0.530.01


C-65

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

8115

405S235

100

5.583.81

6.974.03

11.411.3

3569.39

9.1016.0

26.616.0

26.70.97

0.780.02

1.000.73

0.02G

L28h8

115405

S23510

205.58

3.816.97

4.0311.4

11.3418

9.588.78

11.826.7

16.026.7

1.000.84

0.020.95

0.690.02

GL28h

8115

405S235

200

7.714.12

10.14.34

11.211.0

3488.64

8.3216.0

26.616.0

26.70.96

0.680.01

1.000.63

0.01G

L28h8

115405

S23520

207.71

4.1210.1

4.3411.2

11.0434

8.558.32

10.826.7

16.026.7

1.000.78

0.011.00

0.630.01

GL28h

8115

405S235

300

9.614.31

12.74.51

11.110.9

3418.16

7.8816.0

26.616.0

26.70.96

0.610.01

1.000.57

0.01G

L28h8

115405

S23530

209.61

4.3112.7

4.5111.1

10.9426

7.927.89

11.526.7

16.026.7

1.000.73

0.011.00

0.570.01

GL28h

9115

405S235

100

5.583.81

6.974.03

10.110.0

3767.47

7.1618.0

30.018.0

30.00.98

0.800.02

1.000.75

0.02G

L28h9

115405

S23510

205.58

3.816.97

4.0310.1

10.0415

7.576.65

14.730.0

18.030.0

1.000.84

0.020.90

0.650.01

GL28h

9115

405S235

200

7.714.12

10.14.34

10.09.82

3726.82

6.4618.0

29.918.0

30.00.97

0.700.01

1.000.66

0.01G

L28h9

115405

S23520

207.71

4.1210.1

4.3410.0

9.82464

6.606.46

10.130.0

18.030.0

1.000.82

0.011.00

0.650.01

GL28h

9115

405S235

300

9.614.31

12.74.51

9.879.67

3676.38

6.0618.0

30.018.0

30.00.97

0.650.01

1.000.60

0.01G

L28h9

115405

S23530

209.61

4.3112.7

4.519.87

9.67459

6.026.06

11.030.0

18.030.0

1.000.78

0.011.00

0.600.01

GL28h

4115

450S235

100

6.754.71

8.434.99

25.525.4

38248.3

46.35.84

9.138.00

13.31.00

0.800.02

1.000.73

0.02G

L28h4

115450

S23510

206.75

4.718.43

4.9925.5

25.4418

48.646.1

5.2910.1

8.0013.3

1.000.82

0.021.00

0.700.02

GL28h

4115

450S235

200

9.335.11

12.35.41

25.324.9

26644.8

43.66.94

10.78.00

13.31.00

0.620.02

1.000.53

0.02G

L28h4

115450

S23520

209.33

5.1112.3

5.4125.3

24.9333

45.343.6

6.2510.7

8.0013.3

1.000.66

0.021.00

0.530.02

GL28h

4115

450S235

300

11.75.36

15.65.63

25.024.5

20543.4

42.87.19

11.08.00

13.31.00

0.510.02

1.000.42

0.01G

L28h4

115450

S23530

2011.7

5.3615.6

5.6325.0

24.5257

43.842.8

6.8011.0

8.0013.3

1.000.54

0.021.00

0.420.01

GL28h

5115

450S235

100

6.754.71

8.434.99

20.420.3

38330.9

29.67.75

12.210.0

16.71.00

0.800.02

1.000.73

0.02G

L28h5

115450

S23510

206.75

4.718.43

4.9920.4

20.3418

31.129.5

6.9113.7

10.016.7

1.000.82

0.021.00

0.700.02

GL28h

5115

450S235

200

9.335.11

12.35.41

20.319.9

26528.7

27.99.62

14.810.0

16.71.00

0.620.02

1.000.53

0.02G

L28h5

115450

S23520

209.33

5.1112.3

5.4120.3

19.9331

29.027.9

8.5414.8

10.016.7

1.000.66

0.021.00

0.530.02

GL28h

5115

450S235

300

11.75.36

15.65.63

20.019.6

20427.7

27.410.0

15.410.0

16.71.00

0.510.02

1.000.42

0.01G

L28h5

115450

S23530

2011.7

5.3615.6

5.6320.0

19.6255

28.127.4

9.4415.4

10.016.7

1.000.54

0.021.00

0.420.01

GL28h

6115

450S235

100

6.754.71

8.434.99

17.016.9

38021.4

20.610.2

16.112.0

20.01.00

0.800.02

1.000.73

0.02G

L28h6

115450

S23510

206.75

4.718.43

4.9917.0

16.9418

21.620.5

8.8918.2

12.020.0

1.000.82

0.021.00

0.700.02

GL28h

6115

450S235

200

9.335.11

12.35.41

16.916.6

26719.1

19.412.0

19.712.0

20.00.95

0.590.02

1.000.53

0.02G

L28h6

115450

S23520

209.33

5.1112.3

5.4116.9

16.6333

20.219.4

11.319.7

12.020.0

1.000.66

0.021.00

0.530.02

GL28h

6115

450S235

300

11.75.36

15.65.63

16.716.4

23118.3

19.012.0

20.012.0

20.00.93

0.490.02

1.000.44

0.01G

L28h6

115450

S23530

2011.7

5.3615.6

5.6316.7

16.4288

19.519.0

12.020.0

12.020.0

1.000.56

0.021.00

0.440.01


C-66

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

7115

450S235

100

6.754.71

8.434.99

14.614.5

38215.8

15.112.9

20.414.0

23.31.00

0.800.02

1.000.73

0.02G

L28h7

115450

S23510

206.75

4.718.43

4.9914.6

14.5418

15.915.0

11.223.3

14.023.3

1.000.82

0.021.00

0.700.02

GL28h

7115

450S235

200

9.335.11

12.35.41

14.514.2

31514.2

14.214.0

23.314.0

23.30.95

0.620.02

1.000.57

0.01G

L28h7

115450

S23520

209.33

5.1112.3

5.4114.5

14.2394

14.814.2

12.223.3

14.023.3

1.000.71

0.021.00

0.570.01

GL28h

7115

450S235

300

11.75.36

15.65.63

14.314.0

29913.6

13.714.0

23.314.0

23.30.94

0.540.01

1.000.49

0.01G

L28h7

115450

S23530

2011.7

5.3615.6

5.6314.3

14.0373

14.113.7

12.723.3

14.023.3

1.000.63

0.011.00

0.490.01

GL28h

8115

450S235

100

6.754.71

8.434.99

12.812.7

37811.9

11.616.0

25.916.0

26.70.99

0.790.02

1.000.73

0.02G

L28h8

115450

S23510

206.75

4.718.43

4.9912.8

12.7418

12.211.0

13.926.7

16.026.7

1.000.82

0.020.94

0.660.02

GL28h

8115

450S235

200

9.335.11

12.35.41

12.712.5

35611.0

10.716.0

26.616.0

26.70.96

0.660.02

1.000.60

0.01G

L28h8

115450

S23520

209.33

5.1112.3

5.4112.7

12.5444

11.210.7

12.326.7

16.026.7

1.000.75

0.011.00

0.600.01

GL28h

8115

450S235

300

11.75.36

15.65.63

12.512.3

34410.4

10.316.0

26.716.0

26.70.95

0.580.01

1.000.54

0.01G

L28h8

115450

S23530

2011.7

5.3615.6

5.6312.5

12.3430

10.510.3

13.026.7

16.026.7

1.000.69

0.011.00

0.540.01

GL28h

9115

450S235

100

6.754.71

8.434.99

11.411.3

3949.41

9.1418.0

30.018.0

30.00.98

0.790.02

1.000.74

0.02G

L28h9

115450

S23510

206.75

4.718.43

4.9911.4

11.3418

9.618.32

17.030.0

18.030.0

1.000.82

0.020.89

0.630.02

GL28h

9115

450S235

200

9.335.11

12.35.41

11.311.1

3868.70

8.3818.0

30.018.0

30.00.97

0.680.02

1.000.63

0.01G

L28h9

115450

S23520

209.33

5.1112.3

5.4111.3

11.1482

8.688.38

12.030.0

18.030.0

1.000.79

0.011.00

0.630.01

GL28h

9115

450S235

300

11.75.36

15.65.63

11.110.9

3788.22

7.9418.0

30.018.0

30.00.96

0.620.01

1.000.57

0.01G

L28h9

115450

S23530

2011.7

5.3615.6

5.6311.1

10.9472

8.067.94

12.930.0

18.030.0

1.000.74

0.011.00

0.570.01

GL28h

4115

495S235

100

8.015.69

9.976.04

28.328.2

41859.5

57.25.78

9.058.00

13.31.00

0.810.02

1.000.74

0.02G

L28h4

115495

S23510

208.01

5.699.97

6.0428.3

28.2418

59.556.3

5.7810.4

8.0013.3

1.000.81

0.021.00

0.690.02

GL28h

4115

495S235

200

11.06.20

14.56.57

28.227.8

31555.4

53.76.56

10.18.00

13.31.00

0.640.02

1.000.56

0.02G

L28h4

115495

S23520

2011.0

6.2014.5

6.5728.2

27.8393

56.153.7

5.8510.1

8.0013.3

1.000.69

0.021.00

0.560.02

GL28h

4115

495S235

300

13.86.51

18.66.86

27.927.4

24553.4

52.56.84

10.58.00

13.31.00

0.530.02

1.000.44

0.01G

L28h4

115495

S23530

2013.8

6.5118.6

6.8627.9

27.4306

54.052.5

6.4410.5

8.0013.3

1.000.57

0.021.00

0.440.01

GL28h

5115

495S235

100

8.015.69

9.976.04

22.622.6

41838.1

36.67.52

11.810.0

16.71.00

0.810.02

1.000.74

0.02G

L28h5

115495

S23510

208.01

5.699.97

6.0422.6

22.6418

38.136.0

7.5213.9

10.016.7

1.000.81

0.021.00

0.690.02

GL28h

5115

495S235

200

11.06.20

14.56.57

22.522.2

31435.4

34.48.87

13.610.0

16.71.00

0.640.02

1.000.55

0.02G

L28h5

115495

S23520

2011.0

6.2014.5

6.5722.5

22.2392

35.934.4

7.7413.7

10.016.7

1.000.69

0.021.00

0.550.02

GL28h

5115

495S235

300

13.86.51

18.66.86

22.321.9

24534.2

33.69.33

14.310.0

16.71.00

0.530.02

1.000.44

0.01G

L28h5

115495

S23530

2013.8

6.5118.6

6.8622.3

21.9307

34.633.6

8.6814.3

10.016.7

1.000.57

0.021.00

0.440.01


C-67

Beam

gradeL

bh

Steel grade

tsRed

W.b

instW

.t inst

W.b

finW

.t fin

v.Ed inst

v.Ed fin

P.preq.Ed inst

q.Ed fin

ω

instω

fin

ω inst

max

ω fin

max

E.T inst

E.B inst

E.R inst

E.T fin

E.B fin

E.R fin

UN

IT:m

mm

mm

mm

% m

m³

E+6 m

m³

E+6 m

m³

E+6 m

m³

E+6kN

kNkN

kNkN

mm

mm

mm

mm

Stress checks =< 1


GL28h

6115

495S235

100

8.015.69

9.976.04

18.918.8

41826.5

25.49.65

15.212.0

20.01.00

0.810.02

1.000.74

0.02G

L28h6

115495

S23510

208.01

5.699.97

6.0418.9

18.8418

26.525.0

9.6518.3

12.020.0

1.000.81

0.021.00

0.690.02

GL28h

6115

495S235

200

11.06.20

14.56.57

18.818.5

31524.6

23.911.7

17.912.0

20.01.00

0.640.02

1.000.56

0.02G

L28h6

115495

S23520

2011.0

6.2014.5

6.5718.8

18.5393

24.923.9

10.017.9

12.020.0

1.000.69

0.021.00

0.560.02

GL28h

6115

495S235

300

13.86.51

18.66.86

18.618.2

24423.2

23.312.0

19.012.0

20.00.97

0.520.02

1.000.44

0.01G

L28h6

115495

S23530

2013.8

6.5118.6

6.8618.6

18.2305

24.023.3

11.519.0

12.020.0

1.000.56

0.021.00

0.440.01

GL28h

7115

495S235

100

8.015.69

9.976.04

16.216.1

41819.4

18.712.2

19.214.0

23.31.00

0.810.02

1.000.74

0.02G

L28h7

115495

S23510

208.01

5.699.97

6.0416.2

16.1418

19.418.3

12.223.3

14.023.3

1.000.81

0.021.00

0.690.02

GL28h

7115

495S235

200

11.06.20

14.56.57

16.115.9

31617.4

17.514.0

23.014.0

23.30.95

0.620.02

1.000.56

0.02G

L28h7

115495

S23520

2011.0

6.2014.5

6.5716.1

15.9395

18.317.5

12.723.0

14.023.3

1.000.69

0.021.00

0.560.02

GL28h

7115

495S235

300

13.86.51

18.66.86

15.915.6

28216.6

17.114.0

23.314.0

23.30.93

0.520.02

1.000.47

0.01G

L28h7

115495

S23530

2013.8

6.5118.6

6.8615.9

15.6352

17.617.1

13.623.3

14.023.3

1.000.60

0.021.00

0.470.01

GL28h

8115

495S235

100

8.015.69

9.976.04

14.114.1

41814.9

14.315.1

23.816.0

26.71.00

0.810.02

1.000.74

0.02G

L28h8

115495

S23510

208.01

5.699.97

6.0414.1

14.1418

14.913.4

15.126.7

16.026.7

1.000.81

0.020.93

0.650.02

GL28h

8115

495S235

200

11.06.20

14.56.57

14.113.9

35713.4

13.416.0

26.716.0

26.70.95

0.640.02

1.000.59

0.01G

L28h8

115495

S23520

2011.0

6.2014.5

6.5714.1

13.9447

14.013.4

13.526.6

16.026.7

1.000.73

0.021.00

0.590.01

GL28h

8115

495S235

300

13.86.51

18.66.86

13.913.7

34112.9

12.916.0

26.616.0

26.70.94

0.560.01

1.000.51

0.01G

L28h8

115495

S23530

2013.8

6.5118.6

6.8613.9

13.7426

13.312.9

14.226.6

16.026.7

1.000.65

0.011.00

0.510.01

GL28h

9115

495S235

100

8.015.69

9.976.04

12.612.5

41811.7

11.318.0

29.118.0

30.00.99

0.800.02

1.000.74

0.02G

L28h9

115495

S23510

208.01

5.699.97

6.0412.6

12.5418

11.710.1

18.030.0

18.030.0

0.990.80

0.020.88

0.620.02

GL28h

9115

495S235

200

11.06.20

14.56.57

12.512.3

39510.7

10.518.0

30.018.0

30.00.96

0.670.02

1.000.61

0.01G

L28h9

115495

S23520

2011.0

6.2014.5

6.5712.5

12.3493

11.010.5

13.630.0

18.030.0

1.000.76

0.011.00

0.610.01

GL28h

9115

495S235

300

13.86.51

18.66.86

12.412.2

38310.2

10.018.0

30.018.0

30.00.95

0.600.01

1.000.55

0.01G

L28h9

115495

S23530

2013.8

6.5118.6

6.8612.4

12.2479

10.310.0

14.430.0

18.030.0

1.000.70

0.011.00

0.550.01


C-68

Deforma�on factor for service class 1

Compression strength

Bending strength

Shear strength

Mean value of modulus of elas�city

Name of beam grade

Height of a single lamella

Depth of beam

Increment for beam span

Factor for the quasi-permanent value of a variable ac�on

Minimum beam span

Width of beam

Par�al factor for material proper�es and resistance

Maximum beam span

Load dura�on class of ac�on

hl 0mm:=

BeamSpan a b, c, ( ) i ORIGIN←

Xi a←

a a b+←

i i 1+←

a c≤while

X

:=

1.2Materialproperties

Gradew "Name":=

L BeamSpan Lmin Lincrement, Lmax, ( ):= BeamSpan Lmin Lincrement, Lmax, ( )

InputData1Gluelaminatedbeam1.1Geometricinputs

fm.g.k 0MPa:=

Lmax 0 m⋅:=

fv.g.k 0MPa:=

fc.0.g.k 0MPa:=

Emean 0GPa:=

Lincrement 0 m⋅:=

Gmean 0GPa:= Mean value of shear modulus

1.3Factors

kmod 0.60:=

Lmin 0 m⋅:=

γM 1.25:=

kdef 0.6:=

b 0 mm⋅:=

ψ2 1:=

h 0mm:=

UseMe.xmcd

Appendix D, PTC MathCad script

D-1

jafor

Rectangle

jafor

Text Box

Maximum beam span

jafor

Text Box

Increment for beam span

jafor

Text Box

Minimum beam span

jafor

Text Box

Width of beam

jafor

Text Box

Depth of beam

jafor

Text Box

Height of a single lamella

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Name of beam grade

jafor

Text Box

Compression strength

jafor

Text Box

Bending strength

jafor

Text Box

Shear strength

jafor

Text Box

Mean value of modulus of elasticity

jafor

Text Box

Mean value of shear modulus

jafor

Text Box

Load duration class of action

jafor

Text Box

Partial factor for material properties and resistance

jafor

Text Box

Deformation factor for service class 1

jafor

Text Box

Factor for the quasi-permanent value of a variable action

Deforma�on factor for steel is set to 0

Prestressing loss in final stage, loss in percantage

Mean value of modulus of elas�city

Yield strength

Name of steel grades

Thickness of reinforcement, minimum of two values required

Edge distance to reinforcement, with respect to fire safety

2Steelreinforcement2.1Geometricinputs

bed 10mm:=

ts 10 20 30( )T mm:=

2.2Materialproperties

Grades "S235" "S275" "S355" "S450"( )T:=

fy 235 275 355 440( )T MPa⋅:=

Es.mean 210GPa:=

Reds 0%:=

ks.def 0:=

γM0 1.00:= Mean value of modulus of elas�city

3Deformationlimit

ωinst.maxL

500:=

L

ωfin.maxL

300:=

L

UseMe.xmcd


D-2

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Edge distance to reinforcement, with respect to fire safety

jafor

Text Box

Thickness of reinforcement, minimum of two values required

jafor

Text Box

Name of steel grades

jafor

Text Box

Yield strength

jafor

Text Box


jafor

Text Box

Prestressing loss in final stage, loss in percantage

jafor

Text Box

Deformation factor for steel is set to 0

jafor

Text Box


Percentage of prestressing le/ a/er loss

To export the results to excel, type anything else but "0" here

Please set this value back to "0" before applying changes to values.

4OutputData

Export_Results 0:=

Lim 10:= Limit the maximum number of exported values to "Lim"

for each prestressing load at beam type 3.

Results are sorted by load with descending order

red 1 Reds− 100 %⋅=:=

Reference:C:\Users\jafor\Desktop\Resultat\Script_part1.xmcd(R)

Pr x( )

Row rows READEXCEL "Script.xlsm" concat "Sheet" format i( ), "!", ( ), ( )( )( ) 1+←

Xi concat "Sheet" format i( ), "!A", format Row( ), ( )←

i 1 6..∈for

X

x 0≠if

X "Did not export results"← otherwise

:=

Func�on "Pr" reads number of used rows in Excel sheet and exports output data below

used rows in a predefined file with a certain sheet set up; "Script.xlsm"

String Pr Export_Results( ):=

String used below to define Excel sheet nr for export

Plot1 WRITEEXCEL Data1.P "Script.xlsm", String1

,

:= Data1.P


,

:= Data2.P


,

:= Data3.P

Plot4 WRITEEXCEL Data1.q "Script.xlsm", String4

,

:= Data1.q


,

:= Data2.q


,

:= Data3.q

UseMe.xmcd


D-3

jafor

Rectangle

jafor

Polygon

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Limit the maximum number of exported values to "Lim" for each prestressing load at beam type 3. Results are sorted by load with descending order

jafor

Text Box

To export the results to excel, type anything else but "0" here Please set this value back to "0" before applying changes to values.

jafor

Text Box

Percentage of prestressing left after loss

jafor

Text Box

String used below to define Excel sheet nr for export

jafor

Text Box

Function "Pr" reads number of used rows in Excel sheet and exports output data below used rows in a predefined file with a certain sheet set up; "Script.xlsm"

Programingscript(Part1)

Programming done in MathCAD version 15.0 and might contain programming language

that is not supported in previous or future versions. You are recommended to use MathCAD

version 15.0.

The script is based on Eurocode and might contain equa"ons according the Swedish

Annex, values depending on the Swedish Annex is clearly marked. Please be aware that

changing names, variables or func"ons will alter the result and might cause the script to

crash if not done properly. Only experienced users may customize the script. A

recommenda"on is to make a backup to modify this script. This script will not calculate

any values only define func"ons used on other MathCAD worksheets to make the

necessary calcula"ons. Therefore undefined variables on this worksheet are defined on the

main worksheet and those errors are of no harm for the results.

Script_part1.xmcd


D-4

Ini"al guess, for programming purpose only

Sec"on modulus, for unmodified beams

Second moment of area, for unmodified beams

Width of steel reinforcement

1Geometricproperties

bs b 2 bed⋅−:= b

F_I X Y, ( )X Y

3⋅

12:=

F_W X Y, ( )X Y

2⋅

6:=

F_Sy b h, ( )b h2⋅

8:=

First area of moment about the y-y axis, for unmodified beams

zfic 0:=

F_zfic ts μ1, ( ) root b h⋅h

2

⋅ ts bs⋅ hl⋅− ts μ1⋅ bs⋅ hl⋅ b h⋅ μ1 bs⋅ ts⋅+ bs ts⋅−( ) zfic⋅−+ zfic,

:= bs

Fic""ous center of gravity about the y-y axis

F_Iy.fic ts zfic, μ1, ( ) CGz.1

hl

ts

2−

2← CGz.2 h

h hl−ts

2−

2−←∧

CGz.3 hl← CGz.4 hl←∧

Iy

b hl

ts

2−

3

⋅

12b hl

ts

2−

⋅ zfic CGz.1−( )2+

b h hl−ts

2−

3

⋅

12b h hl−

ts

2−

⋅ zfic CGz.2−( )2⋅++

...

2bed ts

3⋅

12bed ts⋅( ) zfic CGz.3−( )2⋅+

+

...

μ1 bs⋅ ts3⋅

12μ1 bs⋅ ts⋅( ) zfic CGz.4−( )2⋅++

...

←

Iyreturn

:=

bs

Fic""ous second moment of area about the y-y axis

Aw b h⋅:= b Cross sec"onal area of the web in the sec"on

before transforma"on, here assumed as b*h

Script_part1.xmcd


D-5

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Width of steel reinforcement

jafor

Text Box

Second moment of area, for unmodified beams

jafor

Text Box

Section modulus, for unmodified beams

jafor

Text Box

First area of moment about the y-y axis, for unmodified beams

jafor

Text Box

Initial guess, for programming purpose only

jafor

Text Box

Cross sectional area of the web in the section before transformation, here assumed as b*h

Fic""ous load eccentricity about the y-y axis

F_Wmod Iy zfic, ( ) W0

Iy

zfic

←

W1

Iy

h zfic−←

W2

min W0W1

, ( )←

W3

Iy

zfic hl−←

W

:=

h

Fic""ous sec"on modulus about the y-y axis, values from first row to last:

bo2om, top, minimum value among those and value to steel reinforcment

F_efic zfic( ) zfic hl−:= hl

F_Sy.fic ts zfic, μ1, ( )A2 b h zfic−( )⋅←

y2

h zfic−

2←

Sy A2 y2⋅←

zfic hl

ts

2+≥if

A1 b hl

ts

2−

⋅← A3 bed zfic hl

ts

2−

−

⋅←∧

A4 μ1 b⋅ zfic hl

ts

2−

−

⋅←

y1 zfic

hl

ts

2−

2−← y3

zfic hl

ts

2−

−

2←∧ y4

zfic hl

ts

2−

−

2←∧

Sy A1 y1⋅ 2 A3⋅ y3⋅+ A4 y4⋅+←

hl

ts

2− zfic< hl

ts

2+<if

Sy

:=

hl

Fic""ous first area of moment about the y-y axis, first if-statement is when the neutral

axis is above the reinforcment level and second if-statement is when the neutral axis is

within the level of steel reinforcment.

Script_part1.xmcd


D-6

jafor

Rectangle

jafor

Text Box

Fictitious load eccentricity about the y-y axis

Func"on for fi3h percen"le final value

at the ULS condi"on

Factor accoun"ng for influence of cracks

Func�on according to the Swedish Annex

Func"on for design strength of glulam beam

Is used in the ULS and SLS under final condi"ons

Hence permanent load, μ.1.ULS.fin equals μ.1.SLS:fin

Mean value of modulus of elas"city

used in the SLS under "fin" condi"ons

Design bending strength

Design compression strength

Design shear strength

Func"on for fi3h percen"le final value

at the ULS condi"on

Func"on for mean final value

at the SLS condi"on

2MaterialpropertiesDesign material proper"es are defined here

DesignStrength fg.k( )kmod fg.k⋅

γM

:=kmod

F_SLS_FIN Xmean( )Xmean

1 kdef+:=

kdef

F_ULS_FIN X0.05( )X0.05

1 ψ2 kdef⋅+:=

ψ2

2.1Instantaneousand�inalconditionsConcepts of instantaneous and final condi"ons ("inst" and "fin") to handle creep problem

μ1.inst

Es.mean

Emean

:=Es.mean

μ1.fin

Es.mean 1 ψ2 kdef⋅+( )⋅

Emean 1 ψ2 ks.def⋅+( )⋅:=Es.mean

2.2De�inedmaterialproperties

fc.0.g.d DesignStrength fc.0.g.k( ):= DesignStrength

fm.g.d DesignStrength fm.g.k( ):= DesignStrength

fv.g.d DesignStrength fv.g.k( ):= DesignStrength

Emean.SLS.fin F_SLS_FIN Emean( ):= F_SLS_FIN

Mean value of shear modulus

used in the SLS under "fin" condi"onsGmean.SLS.fin F_SLS_FIN Gmean( ):= F_SLS_FIN

3Modi�icationfactors

kh kh min 1.1600mm

h

0.1

,

h 600mm<if

1.0 otherwise

←:= h Size factor for depth less than 600 mm

Else, size factor is 1.0

kcr kcr min 1.03.0MPa

fv.g.k

,

←:=fv.g.k

Script_part1.xmcd


D-7

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Function for design strength of glulam beam

jafor

Text Box

Function for mean final value at the SLS condition

jafor

Text Box

Function for fifth percentile final value at the ULS condition

jafor

Text Box

Function for fifth percentile final value at the ULS condition

jafor

Text Box

Is used in the ULS and SLS under final conditions Hence permanent load, μ.1.ULS.fin equals μ.1.SLS:fin

jafor

Text Box

Design compression strength

jafor

Text Box

Design bending strength

jafor

Text Box

Design shear strength

jafor

Text Box

Mean value of modulus of elasticity used in the SLS under "fin" conditions

jafor

Text Box

Mean value of shear modulus used in the SLS under "fin" conditions

jafor

Text Box

Size factor for depth less than 600 mm Else, size factor is 1.0

jafor

Text Box

Factor accounting for influence of cracks Function according to the Swedish Annex

Design bending stress, prestressing force

Design compression stress, prestressing force

Design bending moment, point load at midpoint

Design shear stress, with respect to influence of cracks

Design bending stress

Ini"al guess, for programming purpose only

4Actions

PEd 0:= qEd 0:=

F_σM MEd Wy, ( )MEd

Wy

:=

F_MEd.P L PEd, ( )PEd L⋅

4:=

F_MEd.q L qEd, ( )qEd L

2⋅

8:= Design bending moment, uniformly distributed load

F_τd Iy L, Sy, VEd, ( )VEd Sy⋅

Iy b⋅ kcr:=

kcr

Design shear load, point load at midpointF_VEd.P PEd( )PEd

2:=

Design shear load, point load at midpointF_VEd.q L qEd, ( )qEd L⋅

2:=

F_σc Ppre( )Ppre

b h⋅:=b

F_σMpre Ppre Wy, e, ( )Ppre e⋅

Wy

:=

4.1DesignstresschecksStress expression according to Eurocode, defined as a func"on

ET MEd Ppre, Wy, e, ( )F_σM MEd Wy, ( ) F_σMpre Ppre Wy, e, ( )−

fm.g.d kh⋅

F_σc Ppre( )fc.0.g.d

2

+:=fm.g.d

Compression stress check according to Eurocode EN 1995-1-1 (6.35), (at top beam)

EB MEd Ppre, Wy, e, ( )F_σM MEd Wy, ( )− F_σMpre Ppre Wy, e, ( )+

fm.g.d kh⋅

F_σc Ppre( )fc.0.g.d

2

+:=fm.g.d

Tension stress check according to Eurocode EN 1995-1-1 (6.35), (at reinforcment beam)

ER MEd Ppre, Wy, e, fy, ( )F_σM MEd Wy, ( )− F_σMpre Ppre Wy, e, ( )+

fy

γM0

F_σc Ppre( )fy

γM0

2

+:=F_σc

Tension stress check according to Eurocode EN 1995-1-1 (6.35), (at steel reinforcment)

Script_part1.xmcd


D-8

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Initial guess, for programming purpose only

jafor

Text Box

Design bending stress

jafor

Text Box

Design bending moment, point load at midpoint

jafor

Text Box

Design bending moment, uniformly distributed load

jafor

Text Box

Design shear stress, with respect to influence of cracks

jafor

Text Box

Design shear load, point load at midpoint

jafor

Text Box

Design shear load, point load at midpoint

jafor

Text Box

Design compression stress, prestressing force

jafor

Text Box

Design bending stress, prestressing force

jafor

Rectangle

jafor

Text Box

(at bottom beam)

jafor

Rectangle

jafor

Text Box

(at top beam)

Func"on to create all forces from force "a" to "c" with "b" increments.

Rounded to value 5 in the hundredths place,

returning the values as a vector in ascending order

Bending defl. at mid point

Uniformly distributed load

Bending defl. at mid point

Point load at midpoint

5DeformationDeforma"on expression according to Eurocode, defined as a func"on

F_ωPed Emean Gmean, Iy, L, PEd, ( )PEd L

3⋅

48 Emean⋅ Iy⋅

PEd L⋅

4 Aw⋅ Gmean⋅+:=

Aw

F_ωqed Emean Gmean, Iy, L, qEd, ( )5qEd L

4⋅

384 Emean⋅ Iy⋅

qEd L2⋅

8 Aw⋅ Gmean⋅+:=

Aw

Nega"ve bending deflec"on at mid point

Prestressing forceF_ωPpre Emean Iy, L, Ppre, e, ( )

Ppre e⋅ L2⋅

8 Emean⋅ Iy⋅:=

6ProgrammingUtilities

F_INC a b, c, ( ) i ORIGIN←

Xi Round a 0.05kN, ( )←

a a b+←

i i 1+←

a c≤while

X

:=

F_NrInter X nr, ( ) i ORIGIN←

INTER0

X←

INTERi 1+

INTERi

10←

i i 1+←

i nr 2−≤while

INTER

:=

Creates a vector with descending order, where first value is “X” with “Nr” number of

values. Value number (n+1) is tenth the value number (n). Script is used to op"mize the

loads and deflec"ons as close as the limit with respect to non-linear equa"ons with

possible imaginary roots (when checking EN 1995-1-1 (6.35) and the total deflec"on)

Script_part1.xmcd


D-9

jafor

Rectangle

jafor

Rectangle

jafor

Text Box

Bending defl. at mid point Point load at midpoint

jafor

Text Box

Bending defl. at mid point Uniformly distributed load

jafor

Text Box

Negative bending deflection at mid point Prestressing force

F_fy.op MEd Ppre, Wy, e, fy, ( ) fy reverse csort fy 0, ( )( )←

fy.op fy0←

fy.op fyi

← Ppre

fyits⋅ bs⋅

γM0

≤

ER MEd Ppre, Wy, e, fyi

,

1.00≤

if

i 0 last fy( )..∈for

fy.op

:=

bs

Func"on op"mizes the steel grade, choosing the lowest possible steel grade with respect

to steel stress check for glulam beam, resul"ng in higher usage ra"o of the steel.

Func"on returns yield strength and the stress ra"o for the op"mized steel grade.

F_Ppre.max ts( ) P.0

max fy( ) ts⋅ bs⋅

γM0

←

P1

0.8 b h⋅ fc.0.g.d⋅( )←

P2

0.8max fy( ) b⋅ h⋅

γM0

⋅←

R min P( )←

R

:=bs

Max range of prestressing force is limited by either yield strength of steel reinforcment,

compression strength of beam or stress check at steel level, top or bo2om beam.

80% of the value is used to avoid cases with nega"ve roots on loading force

InputData D( )

Di 0,

Gradew←

Di 2,

b mm1−⋅← D

i 3, h mm

1−⋅←∧

i 0 rows D( ) 1−..∈for

D

:=

Gradew

Func"on adds grade, width, depth for the beam to result matrices for both loading cases

(hence they are constants and not depending on length nor unmodified, reinforced or

prestressed case).

Script_part1.xmcd


D-10

7OutputScript_part2.xmcd referenced in this line, altering it posi"on in a different subfolder or file

name will cause cri"cal errors in the script. The script is divided into two separate files

due to the extended number of characters in part 2 that will not fit on portrait A4 format,

(only in landscape format).

Reference:C:\Users\jafor\Desktop\Resultat\Script_part2.xmcd(R)

7.1PointloadatmidpointResults are stored in the matrices named below. Each corresponding to a different beam

condi"on

Unreinforced beam:

Data1.P InputData FunC1.P L( )( ):= InputData

Reinforced unstressed beam:

Data2.P InputData FunC2.P L( )( ):= InputData

Reinforced stressed beam:

Data3.P InputData FunC3.P L Lim, 0, ( )( ):= InputData

7.2UniformlydistributedloadResults are stored in the matrices named below. Each corresponding to a different beam

condi"on

Unreinforced beam:

Data1.q InputData FunC1.q L( )( ):= InputData

Reinforced unstressed beam:

Data2.q InputData FunC2.q L( )( ):= InputData

Reinforced stressed beam:

Data3.q InputData FunC3.q L Lim, 0, ( )( ):= InputData

Script_part1.xmcd


D-11

jafor

Rectangle

Programingscrip

t(Part2

)

F_ωPωEmeanGmean

, Iy

, L, PEd

, Ppre

, e, ωmax

, (

)PEd

rootF_ωPed

EmeanGmean

, Iy

, L, PEd

, (

)F_ωPpre

EmeanIy

, L, Ppre

, e,

()

−ωmax

−PEd

, (

)←

PEd

return

F_ωPed

EmeanGmean

, Iy

, L, PEd

, (

)F_ωPpre

EmeanIy

, L, Ppre

, e,

()

−ωmax

>ifPEd

:=F_ωPed

F_ωqωEmeanGmean

, Iy

, L, Ppre

, e, qEd

, ωmax

, (

)qEd

rootF_ωqed

EmeanGmean

, Iy

, L, qEd

, (

)F_ωPpre

EmeanIy

, L, Ppre

, e,

()

−ωmax

−qEd

, (

)←

qEd

return

F_ωqed

EmeanGmean

, Iy

, L, qEd

, (

)F_ωPpre

EmeanIy

, L, Ppre

, e,

()

−ωmax

>if

qEd

return

:=F_ωqed

Th

e fu

nc

on

s ab

ove d

ecre

ase th

e load

s if the d

efo

rma

on

s exce

ed

the lim

it

Fu

nc

on

C3.P a

nd

C3.q ca

lcula

tes th

e m

aximu

m lo

ad

for e

ach

pre

stressin

g force a

llow

ed

,

check

s if the d

efo

rma

on

exceed

the lim

it and

red

uce

the lo

ad

with

respect to

pre

stressin

g force a

nd

defo

rma

on

.

FunC1.P

an

d FunC1.q in

clud

e all n

ece

ssary

param

ete

rs an

d ca

lcula

o

ns a

ccord

ing to

pre

vio

us d

efi

ned

fun

co

ns,

return

ing th

e d

ata as a

matrix fo

r the u

nm

od

ified

beam

. Th

e fi

rst fun

co

n fo

r po

int lo

ad a

t mid

po

int

an

d th

e se

con

d fo

r un

iform

ly distrib

ute

d lo

ad

FunC2.P

an

d FunC2.q in

clud

e all n

ece

ssary

param

ete

rs an

d ca

lcula

o

ns a

ccord

ing to

pre

vio

us d

efi

ned

fun

co

ns,

return

ing th

e d

ata as a

matrix fo

r the r e

info

rced

un

stresse

d b

eam

. Th

e first fu

nc

on

for p

oin

t load

at m

idp

oin

t

an

d th

e se

con

d fo

r un

iform

ly distrib

ute

d lo

ad

FunC3.P

an

d FunC3.q in

clud

e all n

ece

ssary

param

ete

rs an

d ca

lcula

o

ns a

ccord

ing to

pre

vio

us d

efi

ned

fun

co

ns,

return

ing th

e d

ata as a

matrix fo

r the r e

info

rced

stresse

d b

eam

. Th

e first fu

nc

on

for p

oin

t load

at mid

po

int

an

d th

e se

con

d fo

r un

iform

ly distrib

ute

d lo

ad

Script_part2.xmcd


D-12

FunC1.P

L()

Wy

F_W

bh,

()

←Iy

F_Ibh,

()

←∧

Sy

F_Sybh,

()

←∧

VEd

rootF_τdIy

Li

, Sy

, F_VEd.P

PEd

()

, (

)fv.g.d

−PEd

, (

)←

Pinst

rootF_σM

F_MEd.P

LiPEd

, (

)Wy

, (

)fm

.g.d

kh

⋅−

PEd

, (

)←

Pfin

rootF_σM

F_MEd.P

LiPEd

, (

)Wy

, (

)fm

.g.d

kh

⋅−

PEd

, (

)←

∧

PEd.in

stF_ωPω

EmeanGmean

, Iy

, Li

, Pinst

, 0, 0, ωinst.m

axi

,

←

PEd.fin

F_ωPω

Emean.SLS.fin

Gmean.SLS.fin

, Iy

, Li

, Pfin

, 0, 0, ωfin

.maxi

,

←

∧

ωinst

F_ωPed

EmeanGmean

, Iy

, Li

, PEd.in

st,

()

←ωfin

F_ωPed

Emean.SLS.fin

Gmean.SLS.fin

, Iy

, Li

, PEd.fin

, (

)←

∧

Di1,

Lim

1−

⋅←

Di8,

Wymm

3−

⋅10

6−

⋅←

∧Di9,

Wymm

3−

⋅10

6−

⋅←

∧Di10

, Wymm

3−

⋅10

6−

⋅←

∧Di11

, Wymm

3−

⋅10

6−

⋅←

∧

Di12

, VEdkN

1−

⋅←

Di13

, VEdkN

1−

⋅←

∧Di15

, PEd.in

stkN

1−

⋅←

∧Di16

, PEd.fin

kN

1−

⋅←

∧

Di17

, ωinstmm

1−

⋅←

Di18

, ωfin

mm

1−

⋅←

∧Di19

, ωinst.m

aximm

1−

⋅←

∧Di20

, ωfin

.maximm

1−

⋅←

∧

i0

lastL()

..∈

for

D

:=

F_ωPω

FunC1.q

L()

Wy

F_W

bh,

()

←Iy

F_Ibh,

()

←∧

Sy

F_Sybh,

()

←∧

VEd

rootF_τdIy

Li

, Sy

, F_VEd.q

LiqEd

, (

),

()

fv.g.d

−qEd

, (

)←

qinst

rootF_σM

F_MEd.q

LiqEd

, (

)Wy

, (

)fm

.g.d

kh

⋅−

qEd

, (

)←

qfin

rootF_σM

F_MEd.q

LiqEd

, (

)Wy

, (

)fm

.g.d

kh

⋅−

qEd

, (

)←

∧

qEd.in

stF_ωqω

EmeanGmean

, Iy

, Li

, 0, 0, qinst

, ωinst.m

axi

,

←

qEd.fin

F_ωqω

Emean.SLS.fin

Gmean.SLS.fin

, Iy

, Li

, 0, 0, qfin

, ωfin

.maxi

,

←

∧

ωinst

F_ωqed

EmeanGmean

, Iy

, Li

, qEd.in

st,

()

←ωfin

F_ωqed

Emean.SLS.fin

Gmean.SLS.fin

, Iy

, Li

, qEd.fin

, (

)←

∧

Di1,

Lim

1−

⋅←

Di8,

Wymm

3−

⋅10

6−

⋅←

∧Di9,

Wymm

3−

⋅10

6−

⋅←

∧Di10

, Wymm

3−

⋅10

6−

⋅←

∧Di11

, Wymm

3−

⋅10

6−

⋅←

∧

Di12

, VEd

mkN

⋅←

Di13

, VEd

mkN

⋅←

∧Di15

, qEd.in

stmkN

⋅←

∧Di16

, qEd.fin

mkN

⋅←

∧

Di17

, ωinstmm

1−

⋅←

Di18

, ωfin

mm

1−

⋅←

∧Di19

, ωinst.m

aximm

1−

⋅←

∧Di20

, ωfin

.maximm

1−

⋅←

∧

i0

lastL()

..∈

for

D

:=

F_ωqω

Script_part2.xmcd


D-13

FunC2.P

L()

k0

←

zfic.inst

F_zfic

tsjμ1.in

st,

←Iy.fic.in

stF_Iy.fic

tsjzfic.in

st,

μ1.in

st,

←∧

Sy.fic.in

stF_Sy.fic

tsjzfic.in

st,

μ1.in

st,

←∧

zfic.finF_zfic

tsjμ1.fin

,

←

Iy.fic.fin

F_Iy.fic

tsjzfic.fin

, μ1.fin

,

←

∧Sy.fic.fin

F_Sy.fic

tsjzfic.fin

, μ1.fin

,

←

∧

Wy.in

stF_WmodIy.fic.in

stzfic.in

st,

()

←

Wy.fin

F_WmodIy.fic.fin

zfic.fin

, (

)←

VEd.in

strootF_τdIy.fic.in

stLi

, Sy.fic.in

st,

F_VEd.P

PEd

()

, (

)fv.g.d

−PEd

, (

)←

VEd.fin

rootF_τdIy.fic.fin

Li

, Sy.fic.fin

, F_VEd.P

PEd

()

, (

)fv.g.d

−PEd

, (

)←

Pinst

rootF_σM

F_MEd.P

LiPEd

, (

)Wy.in

st2,

fm.g.d

kh

⋅(

)−

PEd

,

←

Pfin

rootF_σM

F_MEd.P

LiPEd

, (

)Wy.fin

2,

fm.g.d

kh

⋅(

)−

PEd

,

←

∧

PEd.in

stF_ωPω

EmeanGmean

, Iy.fic.in

st,

Li

, Pinst

, 0, 0, ωinst.m

axi

,

←

PEd.fin

F_ωPω

Emean.SLS.fin

Gmean.SLS.fin

, Iy.fic.fin

, Li

, Pfin

, 0, 0, ωfin

.maxi

,

←

ωinst

F_ωPed

EmeanGmean

, Iy.fic.in

st,

Li

, PEd.in

st,

()

←ωfin

F_ωPed

Emean.SLS.fin

Gmean.SLS.fin

, Iy.fic.fin

, Li

, PEd.fin

, (

)←

∧

Dk1,

Li m

1−

←Dk5,

bsmm

1−

⋅←

∧Dk6,

tsjmm

1−

⋅←

∧

Dk8,

Wy.in

st0mm

3−

⋅10

6−

⋅←

Dk9,

Wy.in

st1mm

3−

⋅10

6−

⋅←

∧Dk10

, Wy.fin

0mm

3−

⋅10

6−

⋅←

∧Dk11

, Wy.fin

1mm

3−

⋅10

6−

⋅←

∧

Dk12

, VEd.in

stkN

1−

⋅←

Dk13

, VEd.fin

kN

1−

⋅←

∧Dk15

, PEd.in

stkN

1−

⋅←

∧Dk16

, PEd.fin

kN

1−

⋅←

∧

Dk17

, ωinstmm

1−

⋅←

Dk18

, ωfin

mm

1−

⋅←

∧Dk19

, ωinst.m

aximm

1−

⋅←

∧Dk20

, ωfin

.maximm

1−

⋅←

∧

kk

1+

← j0

lastts

()..

∈for i

0lastL()

..∈

for

D

:=

F_ωPω

Script_part2.xmcd


D-14

FunC2.q

L()

k0

←

zfic.in

stF_zfic

tsjμ1.in

st,

←Iy.fic.in

stF_Iy.fic

tsjzfic.in

st,

μ1.in

st,

←∧

Sy.fic.in

stF_Sy.fic

tsjzfic.in

st,

μ1.in

st,

←∧

zfic.fin

F_zfic

tsjμ1.fin

,

←

Iy.fic.fin

F_Iy.fic

tsjzfic.fin

, μ1.fin

,

←

∧Sy.fic.fin

F_Sy.fic

tsjzfic.fin

, μ1.fin

,

←

∧

Wy.in

stF_WmodIy.fic.in

stzfic.in

st,

()

←

Wy.fin

F_WmodIy.fic.fin

zfic.fin,

()

←

VEd.in


stLi

, Sy.fic.in

st,

F_VEd.q

LiqEd

, (

),

()

fv.g.d

−qEd

, (

)←

VEd.fin

rootF_τdIy.fic.fin

Li

, Sy.fic.fin

, F_VEd.q

LiqEd

, (

),

()

fv.g.d

−qEd

, (

)←

qinst

rootF_σM

F_MEd.q

LiqEd

, (

)Wy.in

st2,

fm.g.d

kh

⋅(

)−

qEd

,

←

qfin

rootF_σM

F_MEd.q

LiqEd

, (

)Wy.fin

2,

fm.g.d

kh

⋅(

)−

qEd

,

←

∧

qEd.in

stF_ωqω

EmeanGmean

, Iy.fic.in

st,

Li

, 0, 0, qinst

, ωinst.m

axi

,

←

qEd.fin

F_ωqω

Emean.SLS.fin

Gmean.SLS.fin

, Iy.fic.fin

, Li

, 0, 0, qfin

, ωfin

.maxi

,

←

ωinst

F_ωqed

EmeanGmean

, Iy.fic.in

st,

Li

, qEd.in

st,

()

←ωfin

F_ωqed

Emean.SLS.fin

Gmean.SLS.fin

, Iy.fic.fin

, Li

, qEd.fin

, (

)←

∧

Dk1,

Li m

1−

←Dk5,

bsmm

1−

⋅←

∧Dk6,

tsjmm

1−

⋅←

∧

Dk8,

Wy.in

st0mm

3−

⋅10

6−

⋅←

Dk9,

Wy.in

st1mm

3−

⋅10

6−

⋅←

∧Dk10

, Wy.fin

0mm

3−

⋅10

6−

⋅←

∧Dk11

, Wy.fin

1mm

3−

⋅10

6−

⋅←

∧

Dk12

, VEd.in

stmkN

⋅←

Dk13

, VEd.fin

mkN

⋅←

∧Dk15

, qEd.in

stmkN

⋅←

∧Dk16

, qEd.fin

mkN

⋅←

∧

Dk17

, ωinstmm

1−

⋅←

Dk18

, ωfin

mm

1−

⋅←

∧Dk19

, ωinst.m

aximm

1−

⋅←

∧Dk20

, ωfin

.maximm

1−

⋅←

∧

kk

1+

← j0

lastts

()..

∈for i

0lastL()

..∈

for

D

:=

F_ωqω

Script_part2.xmcd


D-15

C3.P

EmeanGmean

, Iy

, L, red

, Wy

, e, ts

, ωmax

, F,

()

ItF_NrIn

ter100kN

6, (

)←

PEd

submatrix

F0, rowsF()

1−

, 0, 0,

()

←

Ppre

submatrix

F0, rowsF()

1−

, 1, 1,

()

←

PEdj

PEdjItk

−← F_ωPed

EmeanGmean

, Iy

, L, PEdjItk

−,

F_ωPpre

EmeanIy

, L, Pprejred

⋅,

e,

−

ωmax

≥while

k0

lastIt

()

..∈

for

fy.opj

F_fy.opF_MEd.P

LPEdj

,

Pprejred

⋅

,

Wy3

, e, fy

,

←

indexj

match

fy.opjfy

,

0

←

SCheck

j0,

ET

F_MEd.P

LPEdj

,

Pprejred

⋅,

Wy1

, e,

←

SCheck

j1,

EB

F_MEd.P

LPEdj

,

Pprejred

⋅,

Wy0

, e,

←

SCheck

j2,

ER

F_MEd.P

LPEdj

,

Pprejred

⋅,

Wy3

, e, fy.opj

,

←

Rj0,

PEdjkN

()

1−

⋅←

Rj1,

PprejkN

()

1−

⋅←

∧

Rj2,

F_ωPed

EmeanGmean

, Iy

, L, PEdj

,

F_ωPpre

EmeanIy

, L, Pprejred

⋅,

e,

−

mm

1−

⋅←

Rj4,

SCheck

j0,

←Rj5,

SCheck

j1,

←∧

Rj6,

SCheck

j2,

←∧

Rj3,

Gradesindex

j(

)←

SCheck

j0,

1.00

≤SCheck

j1,

1.00

≤∧

SCheck

j2,

1.00

≤∧

if j0

lastPEd

()

..∈

for

R

:=F_NrIn

ter

Script_part2.xmcd


D-16

C3.P2EmeanGmean

, Iy

, L, Lim

, red

, Wy

, e, ts

, ωmax

, (

)It

F_NrIn

ter100kN

6, (

)←

Ppre

F_IN

C00.5kN

, F_Ppre.m

axts

(),

()

←

PAi

0←

PBi

0←

∧PCi

0←

∧

PAi

PAiItj

+← ET

F_MEd.P

LPAiItj

+,

Ppreired

⋅,

Wy1

, e,

1.00

≤while

PBi

PBiItj

+← EB

F_MEd.P

LPBiItj

+,

Ppreired

⋅,

Wy0

, e,

1.00

≤while

PCi

PCiItj

+← ER

F_MEd.P

LPCiItj

+,

Ppreired

⋅,

Wy3

, e, maxfy

()

,

1.00

≤while

j0

lastIt

()

..∈

for

Vi0,

minPAiPBi

, PCi

,

←

Vi1,

Pprei

←∧

RC3.P

EmeanGmean

, Iy

, L, red

, Wy

, e, ts

, ωmax

, V,

()

← i0

lastPpre

()

..∈

for

csortR

1, (

)retu

rn

:=

C3.P

Script_part2.xmcd


D-17

FunC3.P

LLim

, k,

()

zfic.in

stF_zfic

tsjμ1.in

st,

←zfic.fin

F_zfic

tsjμ1.fin

,

←

∧efic.in

stzfic.in

sthl

−←

∧efic.fin

zfic.fin

hl

−←

∧l

0←

∧

Iy.fic.in

stF_Iy.fic

tsjzfic.in

st,

μ1.in

st,

←Iy.fic.fin

F_Iy.fic

tsjzfic.fin

, μ1.fin

,

←

∧

Sy.fic.in

stF_Sy.fic

tsjzfic.in

st,

μ1.in

st,

←Sy.fic.fin

F_Sy.fic

tsjzfic.fin

, μ1.fin

,

←

∧

Winst

F_WmodIy.fic.in

stzfic.in

st,

()

←

Wfin

F_WmodIy.fic.fin

zfic.fin

, (

)←

VEd.in


stLi

, Sy.fic.in

st,

F_VEd.P

PEd

()

, (

)fv.g.d

−PEd

, (

)←

VEd.fin

rootF_τdIy.fic.fin

Li

, Sy.fic.fin

, F_VEd.P

PEd

()

, (

)fv.g.d

−PEd

, (

)←

Vi

C3.P2EmeanGmean

, Iy.fic.in

st,

Li

, 100%

, Winst

, efic.in

st,

tsj,

ωinst.m

axi

,

←

Vf

C3.P2Emean.SLS.fin

Gmean.SLS.fin

, Iy.fic.fin

, Li

, red

, Wfin

, efic.fin

, tsj

, ωfin

.maxi

,

←

Vrev

ersecso

rtaugmentsubmatrix

Vi0, min

rowsVi

()

1−

rowsVf

()

1−

, (

),

0, 6,

()submatrix

Vf0, min

rowsVi

()

1−

rowsVf

()

1−

, (

),

0, 6,

()

, (

)7,

()

()

←

Dk1,

Lim

1−

⋅←

Dk5,

bsmm

1−

⋅←

∧Dk6,

tsjmm

1−

⋅←

∧Dk7,

100

red%

1−

()

⋅−

←∧

Dk4,

Vn10

, ←

Dk8,

Winst0

mm

3−

⋅10

6−

⋅←

Dk9,

Winst1

mm

3−

⋅10

6−

⋅←

∧Dk10

, Wfin

0mm

3−

⋅10

6−

⋅←

∧Dk11

, Wfin

1mm

3−

⋅10

6−

⋅←

∧

Dk12

, VEd.in

stkN

1−

⋅←

Dk13

, VEd.fin

kN

1−

⋅←

∧Dk14

, Vn1,

←∧

Dk15

, Vn0,

←∧

Dk16

, Vn7,

←∧

Dk17

, Vn2,

←Dk18

, Vn9,

←∧

Dk19

, ωinst.m

aximm

1−

⋅←

∧Dk20

, ωfin

.maximm

1−

⋅←

∧

Dk21

, Vn4,

←Dk22

, Vn5,

←∧

Dk23

, Vn6,

←∧

Dk24

, Vn11

, ←

∧Dk25

, Vn12

, ←

∧Dk26

, Vn13

, ←

∧

kk

1+

←l

l1

+←

∧

lmin

Lim

rowsV()

, (

)<

if

n0

rowsV()

1−

..∈

for

j0

lastts

()..

∈for i

0lastL()

..∈

for

D

:=

C3.P2

Script_part2.xmcd


D-18

C3.q

EmeanGmean

, Iy

, L, red

, Wy

, e, ts

, ωmax

, F,

()

ItF_NrIn

ter100kNm

1−

⋅6,

()

←

qEd

submatrix

F0, rowsF()

1−

, 0, 0,

()m

1−

⋅←

Ppre

submatrix

F0, rowsF()

1−

, 1, 1,

()

←

qEdj

qEdjItk

−← F_ωqed

EmeanGmean

, Iy

, L, qEdjItk

−,

F_ωPpre

EmeanIy

, L, Pprejred

⋅,

e,

−

ωmax

≥while

k0

lastIt

()

..∈

for

fy.opj

F_fy.opF_MEd.q

LqEdj

,

Pprejred

⋅

,

Wy3

, e, fy

,

←

indexj

match

fy.opjfy

,

0

←

SCheck

j0,

ET

F_MEd.q

LqEdj

,

Pprejred

⋅,

Wy1

, e,

←

SCheck

j1,

EB

F_MEd.q

LqEdj

,

Pprejred

⋅,

Wy0

, e,

←

SCheck

j2,

ER

F_MEd.q

LqEdj

,

Pprejred

⋅,

Wy3

, e, fy.opj

,

←

Rj0,

qEdjm⋅

kN

()

1−

⋅←

Rj1,

PprejkN

()

1−

⋅←

∧

Rj2,

F_ωqed

EmeanGmean

, Iy

, L, qEdj

,

F_ωPpre

EmeanIy

, L, Pprejred

⋅,

e,

−

mm

1−

⋅←

Rj4,

SCheck

j0,

←Rj5,

SCheck

j1,

←∧

Rj6,

SCheck

j2,

←∧

Rj3,

Rj3,

Gradesindex

j(

)←

←

SCheck

j0,

1.00

≤SCheck

j1,

1.00

≤∧

SCheck

j2,

1.00

≤∧

if j0

lastqEd

()

..∈

for

R

:=F_NrIn

ter

Script_part2.xmcd


D-19

C3.q2EmeanGmean

, Iy

, L, Lim

, red

, Wy

, e, ts

, ωmax

, (

)It

F_NrIn

ter100kNm

1−

⋅6,

()

←

Ppre

F_IN

C00.5kN

, F_Ppre.m

axts

(),

()

←

qAi

0←

qBi

0←

∧qCi

0←

∧

qAi

qAiItj

+← ETF_MEd.q

LqAiItj

+,

Ppreired

⋅

,

Wy1

, e,

1.00

≤while

qBi

qBiItj

+← EBF_MEd.q

LqBiItj

+,

Ppreired

⋅

,

Wy0

, e,

1.00

≤while

qCi

qCiItj

+← ERF_MEd.q

LqCiItj

+,

Ppreired

⋅

,

Wy3

, e, maxfy

()

,

1.00

≤while

j0

lastIt

()

..∈

for

Vi0,

minqAiqBi

, qCi

,

m⋅

←Vi1,

Pprei

←∧

RC3.q

EmeanGmean

, Iy

, L, red

, Wy

, e, ts

, ωmax

, V,

()

← i0

lastPpre

()

..∈

for

csortR

1, (

)retu

rn

:=

C3.q

Script_part2.xmcd


D-20

FunC3.q

LLim

, k,

()

zfic.inst

F_zfic

tsjμ1.in

st,

←zfic.fin

F_zfic

tsjμ1.fin

,

←

∧efic.in

stF_efic

zfic.inst

()

←∧

efic.finF_efic

zfic.fin

()

←∧

l0

←∧

Iy.fic.in

stF_Iy.fic

tsjzfic.in

st,

μ1.in

st,

←Iy.fic.fin

F_Iy.fic

tsjzfic.fin

, μ1.fin

,

←

∧

Sy.fic.in

stF_Sy.fic

tsjzfic.in

st,

μ1.in

st,

←Sy.fic.fin

F_Sy.fic

tsjzfic.fin

, μ1.fin

,

←

∧

Wy.in

stF_WmodIy.fic.in

stzfic.in

st,

()

←

Wy.fin

F_WmodIy.fic.fin

zfic.fin

, (

)←

VEd.in


stLi

, Sy.fic.in

st,

F_VEd.q

LiqEd

, (

),

()

fv.g.d

−qEd

, (

)←

VEd.fin

rootF_τdIy.fic.fin

Li

, Sy.fic.fin

, F_VEd.q

LiqEd

, (

),

()

fv.g.d

−qEd

, (

)←

Vi

C3.q2EmeanGmean

, Iy.fic.in

st,

Li

, 100%

, Wy.in

st,

efic.inst

, tsj

, ωinst.m

axi

,

←

Vf

C3.q2Emean.SLS.fin

Gmean.SLS.fin

, Iy.fic.fin

, Li

, red

, Wy.fin

, efic.fin

, tsj

, ωfin

.maxi

,

←

Vrev

ersecso

rtaugmentsubmatrix

Vi0, min

rowsVi

()

1−

rowsVf

()

1−

, (

),

0, 6,

()submatrix

Vf0, min

rowsVi

()

1−

rowsVf

()

1−

, (

),

0, 6,

()

, (

)7,

()

()

←

Dk1,

Lim

1−

⋅←

Dk5,

bsmm

1−

⋅←

∧Dk6,

tsjmm

1−

⋅←

∧Dk7,

100

red%

1−

()

⋅−

←∧

Dk4,

Vn10

, ←

Dk8,

Wy.in

st0mm

3−

⋅10

6−

⋅←

Dk9,

Wy.in

st1mm

3−

⋅10

6−

⋅←

∧Dk10

, Wy.fin

0mm

3−

⋅10

6−

⋅←

∧Dk11

, Wy.fin

1mm

3−

⋅10

6−

⋅←

∧

Dk12

, VEd.in

stmkN

⋅←

Dk13

, VEd.fin

mkN

⋅←

∧Dk14

, Vn1,

←∧

Dk15

, Vn0,

←∧

Dk16

, Vn7,

←∧

Dk17

, Vn2,

←Dk18

, Vn9,

←∧

Dk19

, ωinst.m

aximm

1−

⋅←

∧Dk20

, ωfin

.maximm

1−

⋅←

∧

Dk21

, Vn4,

←Dk22

, Vn5,

←∧

Dk23

, Vn6,

←∧

Dk24

, Vn11

, ←

∧Dk25

, Vn12

, ←

∧Dk26

, Vn13

, ←

∧

kk

1+

←l

l1

+←

∧

lmin

Lim

rowsV()

, (

)<

if

n0

rowsV()

1−

..∈

for

j0

lastts

()..

∈for i

0lastL()

..∈

for

D

:=

C3.q2

Script_part2.xmcd


D-21

TRITA BKN Master’s Thesis 527, Structural Design and Bridges 2017

ISSN 1103-4297

www.kth.se

1255688/fulltext01.pdf · degree project materials science and engineering,in second cycle, 30...

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