module a structural analysis suscos 2013 2014 l1 wa
TRANSCRIPT
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
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L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructions
under Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
2
Module A Structural Analysis
List of contents
Introduction and
learning
outcomes
Program course
modules
Bibliography
Standards
Calculations tools
Planned learningactivities and
assessment
methods
Structural
modelling
Examples of
application to steel
structures
Conceptual design of buildings mandatory course unit with 6 credits
allocated.
At the end of the unit, the students should be able to conceptually design
a steel or a composite steel-concrete building, by hand calculations and
using structural analysis software, in accordance with the relevant
Eurocodes.
Mode of delivery Frontal lessons, design projects and home work.
Local for work out of lessons Classroom R.125
Website of ArGEnCo Dpt Access to all information relating to the
discipline.
Other support services Administrative services, ArGEnCo MSF
secretariat, cafeteria, canteen, among others.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
3/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructions
under Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
3
Module A Structural Analysis
Module A Structural analysisTo review concepts and application of linear and nonlinear analysis in the context of
building frame systems. To familiarise the students with structural analysis including
second-order effects and plasticity.Contact Hours: 9 h
Module B General concepts for the design of steel structuresTo introduce the design philosophy and procedures of Eurocode 3.
Contact Hours: 8 h
Module C Design of steel members and jointsTo provide the theoretical background and the detailed design procedures for thedesign of steel members, joints and components.
Contact Hours: 15 h
Module D Design of composite members and jointsTo provide the theoretical background and the detailed design procedures for the
design of composite members and joints in accordance with Eurocode 4.Contact Hours: 15 h
Module E Integrated design of buildingsDuring this module the students have to achieve one design work.
Contact Hours: 20.5 h
Time Schedule
List of contents
Introduction and
learning outcomes
Program course
modules
Bibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
4/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
4
Module A Structural Analysis
Recommended books or required reading
Simes da Silva L., Simes R., Gervsio, H.: Design of steel structures.
ECCS Eurocode Design Manuals, ECCS and Ernst & Sohn, 2010, 438 p.
Jaspart, J. P. and Weynand, K.: Design of joints for steel and steel-concrete
structures, ECCS, Ernst & Sohn and Wiley, 2012.
Johnson R. P.: Composite structures of steel and concrete, 3rd edition,
Blackwell Publishing, 2004.
Trahair N. S., Bradford M. A., Nerthercot D. A., Gardner L.: The behaviour
and design of steel structures to EC3. Taylor & Francis, 2008, 490 p.
Balio G., Mazzolani F. M.: Design of steel structures, FNSpon, London,
1999. Hirt, M. A. and Bez, R. Construction Mtallique, Notions Fondamentales et
Mthodes de Dimensionnement, Trate de Gnie Civil, vol. 10, Press
Polytechniques et Universitaires Romandes, Lausanne, 2006.
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
5/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
5
Module A Structural Analysis
Standards
Design of Steel and Composite Structures
EN 1993-1-1 Design of steel structures Part 1.1: General rules and rulesfor buildings.
EN 1993-1-8 Design of steel structures Part 1.8: Design of joints.
EN 1994-1-1 Design of composite steel and concrete structures - Part 1-1:
General rules and rules for buildings.
Complementary Eurocodes
EN 1990 Basis of structural design.
EN 1991-1-1, 3, 4, 5, 6, 7 Actions on structures - General actions -
Densities, Self-weight, Imposed loads for
buildings, Snow loads, Wind loads, Thermalactions, Actions during execution, Accidental
actions.
EN 1090-2 Execution of Steel and Aluminium Structures.
Part 2: Execution of Steel Structures.
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
6/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
6
Module A Structural Analysis
Calculation tools
OSSA2D structural analysis software (freely available for students); ECCS
EC3 Steel Member Calculator; LTBeam; SemiComp Member Design; COP,among others.
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations
tools
Planned learningactivities and
assessment
methods
Structural
modelling
Examples of
application to steel
structures
-
8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
7/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
7
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
Module A Structural analysis
Frontal lectures.
Students (groups of 2 students) have to resolve a small problem (1st
project)that includes modelling and analysis of 2D framed structures by various
methods of analysis (first-order elastic, buckling analysis, second-order elastic
and first-order plastic).
Module B General concepts for the design of steel structures
Frontal lectures.
Module C Design of steel members and joints
Frontal lectures.
Module D Design of composite members and joints
Frontal lectures.Module E Integrated structural design of buildings
Frontal lectures.
Students have to achieve (groups of 2 students) the design of a particular
building on the basis of assumed realistic design requirements 2nd project.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
8/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
8
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
Assessment methods and criteria
The assessment includes the following evaluations:
- 1st project rated to 2/20 values.
- 2nd project, including a oral presentation/justification rated to 8/20 values;
- written final exam at the end of the course rated to 10/20 values
(minimum 50%).
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
9/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
9
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
Current design process of a bui lding:
Conception and pre-design
the structure (geometry and
material):
Structural model (analytical,
computational, numerical,
experimental,)
Analysis of structure
Check members and
joints
Final project (design
reports, drawings,
etc
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
10/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
10
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
The model of a structure should reproduce, as better as possible, the real
structural conditions. To achieve these purposes, the designer has to deal in
a correct way, with some of the following aspects:
type of members: linear, two-dimensional or
three-dimensional;
uniform or non-uniform elements;
curved members;
influence of member axis;
eccentricities;
support conditions;
joints (rigid, flexible,.);
loading (point loading, distributed loading,
indirect loading, );
among others.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
11/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
11
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structuresBi-dimensional elements
Alternative ways of modellingslabs (stiffness in its own plan).
i) Modelling with linear, two-dimensional
or three-dimensional elements
Linear elements
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
12/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
12
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steel
structures
ii) Influence of member axisIn general the structures are modelled based on centroid axis of members,
because normative expressions are derived with respect to the centroid of
the section.
- If loads are not applied in the centroid of the sections (figure below) it is
necessary to take into account additional forces (in this case a bending
moment) due to the eccentricity.
PN
ePM
C
C
'
'
P
CA
CA
e
P
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
13/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
13
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steelstructures
- Eccentricity in relation to shear centre.
y
z
Cg
e
p
L
Mz Vz
My Vy
Mt
pL2/8
pL/2
pLe/2
0
0
pL/2
pLe/2
CgCc
Torsional moment diagram
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
14/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
14
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steelstructures
LC
LR
LC
LR
A A B B
h h
MA->MAM = 9,75% for h/LC = 0.05; M = 19% for h/LC = 0.1.
Disp. at span v = 19% for h/LC = 0.05; v = 34.4% for h/LC = 0.1.
- Eccentricities in connections.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
15/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
15
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steelstructures
- Influence of the dimension of supports.
Rounding of bending moment takinginto account the distribut ion of shearforce in the bearing length.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
16/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
16
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steelstructures
iv) Elements with non-uniform sections or curved axis
ho
c
p
L
Real structure
Mesh with 3 elements
Mesh with 10 elements
L = 10 m; p =10 kN/m; E = 210 GPa; b = 0.20 m; h0 = 0.50 m
(m)
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
17/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
17
Module A Structural Analysis
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application to steelstructures
jCd
Mj,Rd
Mj
Sj
i) Stiffness (Sj)
ii) Bending resistance (Mj,Rd)
iii ) Rotation capacity (cd)
The stif fness of a connection may besimulated by a spring with rotationalstiffness Sj
M j,EdEd
90
Mz
My
Vz
Vy
N
Mt
v) Influence of joints
Sj
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
18/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
18
Module A Structural Analysis
EXAMPLE 1
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application tosteel structures
Consider the steel frame (E = 210 GPa and S 275) subjected to the indicated loading,
already factored. Assume that the column base jo ints are r ig id. Determine the des ign
internal forces and displacements considering the following approaches.
025.0CLhFrame with
10 m
5 m
5 mHEA260
HEA260 HEA260
HEA260
IPE400
IPE400
14.8 kN
204 kN
33.6 kN/m
45 kN/m
253.5 kN
204 kN
253.5 kN
18.2 kN
a) Modelling the structure with
linear elements:
a.1) r igid beam-column joints,
without considering the effectof eccentricities;
a.2) r igid beam-column joints,
considering the effect of
eccentricities;
a.3) flexible beam-columnjoints wi th rotational st iffness
50000 kNm/rad, without the
effect of eccentricities.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
19/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
19
Module A Structural Analysis
EXAMPLE 1
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application tosteel structures
a.1) a.2)
Short member with a solid cross
section with 200x400 mm2
4006.4
I PE
Node detail
Exc.
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
20/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
20
Module A Structural Analysis
EXAMPLE 1
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application tosteel structures
Cross sections defined to show the results
10 m
5 m
5 m
1 2 3 3
4 4 5 6 6
1
2
5
4
1
6
3
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
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L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Mz(kNm) Vy(kN) Nx(kN) (mm)
1 - - - -1 235.85 208.80 35.24 11.96
2 247.31 10.58 35.24 41.87
3 338.99 229.95 35.24 12.15
3 - - - -
4 - - - -
4 158.04 158.51 88.47 22.97
5 215.45 5.29 88.47 40.776 209.59 169.09 88.47 22.48
6 - - - -
Conceptual Designof Buildings
Module A Structural Analysis
EXAMPLE 1
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application tosteel structures
a.1) without eccentricities:
Mz(kNm) Vy(kN) Nx(kN) (mm)
1 256.45 208.93 34.54 12.231 230.33 208.93 34.54 12.23
2 253.46 10.45 34.54 43.40
3 332.20 229.82 34.54 12.42
3 360.93 229.82 34.54 12.43
4 174.12 158.48 87.03 23.70
4 154.31 158.48 87.03 23.70
5 219.02 5.32 87.03 41.66
6 206.18 169.12 87.03 23.22
6 227.32 169.12 87.03 23.21
a.2) with eccentric ities:
My Vz
My Vz
decrease of 2.4% and1.6% at the midspanmoments of bothbeams.
decrease of 3.6% and2.1% in the vertical
displacements .
025.0CLh
Low differences
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8/10/2019 Module a Structural Analysis Suscos 2013 2014 l1 Wa
22/24
L1 Structural modelling - Examples of application to steel structures.
European Erasmus Mundus
Master Course
Sustainable Constructionsunder Natural Hazards
and Catastrophic Events
Conceptual Designof Buildings
Module A Structural Analysis
EXAMPLE 1
List of contents
Introduction and
learning outcomes
Program course
modulesBibliography
Standards
Calculations tools
Planned learning
activities andassessment
methods
Structural
modelling
Examples of
application tosteel structures
a.3) beam-column joints with a rotational sti ffness equal to 50 000 kNm/rad:
My(kNm) Vz(kNm) Nx(kNm) (mm)
1 218.8 215.5 29.7 14.3
2 295.7 10.3 29.7 54.4
3 314.4 234.6 29.7 14.4
4 148.4 162.5 77.1 29.2
5 244.0 6.1 77.1 48.2
6 203.5 173.5 77.1 28.7
Internal forces and displacements
increase of 16.7% and 11.4% at the midspanmoments of both beams (first and second level,
respectively).
increase of 25% and 15.7% in the verticaldisplacements.
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This lecture was prepared for the Edition 1 of SUSCOS(2012/14) by RUI SIMES (UC) and FLOREA DINU (UPT).
Adaptations brought by J.P. Jaspart (Ulg)for Edition 2 of SUSCOS
The SUSCOS powerpoints are covered by copyright and are for the exclusive useby the SUSCOS teachers in the framework of this Erasmus Mundus Master. They
may be improved by the various teachers throughout the different editions.
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Thank you
for your attention
http://steel.fsv.cvut.cz/suscos