agl fiberglass structural shapes design guide 2014

EL. 17.00

C10

0'-7"2'-11"3'-6"2'-9"2'-7 7/16"0'-8"

18T@11"=16'-6" 3'-7 1/2"

W6

x 1/

4

10'

-10

5/8"

EL. 11.25

18'-4"

3'-6

"

3'-0

"

4'-0

1/2

"

19R

@6

1/2"

= 10

'-3 1

/2"

C10C10

L4x3/8

3'-5 1/2"

16'-0

3/4

"

W8

x 3/

8

W8

x 3/

8L3 x 3/8

L3 x 3/8

3'-0

"

EQ

3'-6

" 3

'-9"

3'-9

" 4

'-1 1

/8"

L3 x

3/8

L3 x

3/8

L3 x

3/8

L3 x

3/8

L3 x 3/8

L3 x 3/8

L3 x 3/8

8'-11 1

3/16"

W4

x 1/

4

C8

6'-6"

7'-0"

EL.11.23EL.11.23

EQ

STRUCTURAL SHAPES

DESIGN GUIDEAmerican Grating, LLC

AMERICAN GRATING, LLCCompany Overv iew 4

1 INTRODUCTION Advantages of Fiberglass Reinforced Plastics 6Pultrusion Process 7 Constituents of FRP Pultrusions 8 Resin Systems 8Typical Coupon Properties 9Vinyl Ester Threaded Rod Properties 10

2 GENERAL TOLERANCESCross Sectional Tolerances 12Flatness 13Straightness 14Twist 15Angularity 15Cut Lengths 15Squareness of Endcut 15

3 SECTION PROPERTIESNotation 18Equal Leg Angle 19Double Angles 20Channel 21I Shape 22W Shape 23Square Tube 24Square Bar 25Round Tube 26Solid Round Rod 27Embedment Angle 28

4 BEAMSNotation/Assumptions/Properties/Formulas 30Lateral Support Requirements 31Uniform Load Deflection Tables 32

5 COLUMNSNotation/Angle/Square Tubes/I & W Shapes 70Allowable Axial Load Tables 71

6 CONNECTION DETAILSConnections Notes 102Typical Connections 103

7 CORROSION RESISTANCE GUIDEChemical Resistance Guide 110

TABLE OF CONTENTS

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American Grating LLC - Structural Shapes Design Guide www.americangrating.com 1.702.567.0303 U.S. Toll Free: 1.800.990-GRTE (4783) Fax: 1.702.567.03234

COMPANY OVERVIEW

HISTORY

American Grating is a premier manufacturer, designer and fabricator of Fiberglass Reinforced Plastic (FRP) structural products and systems. From the manufacturing of molded and pultruded gratings and structural shapes to complete structural design and fabrication, American Gratings business has been built through providing its customers with unmatched product quality, rapid delivery and customer service that is second to none.

American Grating, LLC (AGL) was founded in 1992 in Los Angeles, California and in 2006 relocated its corporate office, main warehouse and fabrication facility to Henderson, Nevada.

Since its founding, American Grating has manufactured top quality molded and pultruded gratings, pultruded structural profiles, handrail and ladder systems, and hand lay up custom components. Today, American Grating is the only U.S. company in the structural composites industry with 100% control of its product manufacturing.

In 1999 AGL achieved ISO 9002 certification and in 2000 it achieved ISO 9001 certification which provides international guidelines on quality management and quality system elements. In addition to ISO certification, American Grating has also achieved US Coast Guard ENSF 61, DNV, and ABS certifications with many of its products.

American Grating's products are utilized in a broad range of end use markets including:

Aerospace Automotive Aquariums to Zoos Chemical Processing

Food & Beverage Mining Offshore Oil & Gas Plating

Pulp & Paper Transportation Water & Wastewater Treatment Water Park Structures

Applications Include:

Chemical Storage Floors Docks Access Platforms Equipment Supports

Ladders, Stairs & Handrails Non-Conductive Floors ADA Ramps Public Access Walkway

Solid Covers for Tanks & Trenches Pedestrian Bridges Catwalks Screening Walls

STRUCTURAL SHAPES

American Grating manufactures all standard shapes used in structural design. Our wide selection of angles, channels, wide flange beams, hollow tubes, rods, and embedment angles is designed to fit the requirements of any project. These structurals are manufactured in premium isophthalic resin (standard color is dark grey) and in chemically resistant vinyl ester resin (standard color is beige).

Angle Channel

Square Tube Wide Flange & I Shapes Round Tube Embedment Angle

AM

ERIC

AN

GRA

TIN

G, L

LC

INTRODUCTION

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ADVANTAGES OF FIBERGLASS REINFORCED PLASTICS

Fiberglass reinforced plastic (FRP), is a composite material consisting of fiberglass reinforcements in a plastic (polymer) matrix. The variations of both reinforcements and polymers allow an incredible range of physical and mechanical properties which can be developed specifically for the performance required, unlike traditional materials such as wood, metal, ceramics, etc.

Fiberglass reinforced plastic composites are strong, lightweight, corrosion resistant, thermally and electrically nonconductive, RF transparent, and virtually maintenance free. These unique properties of FRP, make them suitable and desirable for a wide range of product applications.

FRP Advantages include:

Strength and Durability Versatility and Freedom of Design Affordability and Cost Effectiveness Unique Physical Properties

FRP is an attractive, lightweight, and durable material with one of the highest strength to weight ratios available for component fabrication. It is also highly resistant to environmental extremes. FRP does not rust, is highly resistant to corrosives, and is able to withstand temperature extremes as low as -80F (-26.6C) or as high as 200F (93.3C).

Fiberglass reinforced plastics can be tooled, molded, and fabricated into almost any shape or design. There are few restrictions on color, finish, shape or size. In addition to its versatility, FRP products are very affordable and cost effective solutions for almost any application, component or part. Once molds have been created, parts can be easily duplicated at extremely cost effective price points.

FRP products are chemically inert, thus will not react chemically with other substances. FRP products are also structurally stable and exhibit the least amount of expansion and contraction with temperature fluctuations when compared to traditional materials.

[FRP]

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American Grating LLC - Structural Shapes Design Guide www.americangrating.com 1.702.567.0303 U.S. Toll Free: 1.800.990-GRTE (4783) Fax: 1.702.567.0323 7

Pultrusion is the continuous processing of raw materials by pulling resin-rich reinforcements through a heated steel die to form profiles of constant cross section of continuous length.

Pultrusion gets its name from the method by which the profiles are made. Raw materials are literally pulled by what is called the puller. The puller is the machine made of pulling pads, which grip the product, and a drive system that keeps the product moving. The puller is located just before the cut-off saw.

The process starts with the reinforcements. Typically, unidirectional glass roving begins the process. This is the fiber that runs along the length of the profile. Then, the fiberglass mat is added, which is a multidirectional reinforcement. Next, the glass reinforcements are wet-out with a thermoset resin, typically polyester or vinyl ester. Finally, just before all the material is pulled into the heated die, a surfacing veil may be added to enhance the surface appearance of the final product.

Next in the pultrusion process is the curing of the composite. The curing or hardening occurs while the wet-out reinforcements are being pulled through the heated die. The heat from the die causes the resin to cure and by the time the part exits the die; a hard part in the exact shape of the die cavity has been formed. The final result is a solid, rigid profile with all reinforcements laminated within.

The puller then pulls the product exiting the die to the cut-off saw, which cuts it to the required length.

PULTRUSION PROCESS

UNI-DIRECTIONALGLASS ROVING

RESIN BATH

SURFACINGVEIL

CONTINUOUSSTRAND MAT

GUIDES

PREFORMER

HEATED DIE

PULLER

CUT-OFFSAW

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Vinyl Ester (VFR) - Developed to withstand frequent and direct contact in the harshest of chemical environments. VFR is Beige, ideal for use in acidic and caustic environments such as chemical plants, waste water treatment, and plating applications.

Isophthalic Polyester (IFR) - Industrial grade resin great for environments where grating may occasionally be in contact with harsh chemicals due to splashes or spills. IFR is Dark Grey, perfect for outdoor applications.

CONSTITUENTS OF FRP PULTRUSIONS

FRP pultruded composites are composed of two main constituents- resins and reinforcements that can take on a number of variations.

Resin - The resin (polymer) system imparts the properties of corrosion resistance, fire retardance, and elasticity. Although, American Grating offers a number of resins tailored to specific environments, the majority of FRP components use two systems most often: polyester and vinyl esters. Polyesters offer excellent service in most environments. Vinyl esters are selected for more severe environments where optimal chemical resistance is required. All American Grating resins also include UV inhibitors. Consult our Corrosion Resistance Guide (Page 110) when selecting a resin for your particular application.

Reinforcements (Fiberglass) - Depending upon the manufacturing process and strength requirements, a number of fiberglass reinforcements will be utilized.

Rovings - Rovings are unidirectional continuous filaments of strands of fiberglass. They are utilized in all pultruded products and molded grating products. They are the rebar of FRP, providing longitudinal tensile and flexural strength contributing to stiffness.

Mat - Continuous strand mats are the additional reinforcements in pultruded components and some hand layup components. These components offer transverse strength.

Veil - Veils are used to enhance surface characteristics of pultruded components and some hand layup parts. This constituent is applied to the outside of the part, allowing a resin rich surface to form which improves corrosion resistance and results in a more hand-friendly part.

RESIN SYSTEMS

FLAME SPREADRESIN TYPE RESIN BASE DESCRIPTION CORROSION RATING ASTM STANDARD MAX.

RESISTANCE E84 COLORS TEMP.Superior Corrosion

Type VFR Vinyl Ester Resistance and Fire Excellent Class 1, 25 or Less Beige 200 FRetardant

Industrial GradeType IFR Isophthalic Polyester Corrosion Resistance Very Good Class 1, 25 or Less Dark Grey 150 F

and Fire Retardant

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ASTM UNITS VALUE UNITS VALUED-638 psi 30,000 MPa 206.8

D-638 psi 7,000 MPa 48.2

D-638 106 psi 2.5 GPa 17.2

D-638 106 psi 0.8 GPa 5.5

D-695 psi 30,000 MPa 206.8

D-695 psi 15,000 MPa 103.4

D-695 106 psi 2.5 GPa 17.2

D-695 106 psi 1.0 GPa 6.9

D-790 psi 30,000 MPa 206.8

D-790 psi 10,000 MPa 68.9

D-790 106 psi 1.8 GPa 12.4

D-790 106 psi 0.8 GPa 5.5

Full Section 106 psi 2.8 GPa 19.3

---- 106 psi 0.45 GPa 3.1

D-2344 psi 4,500 MPa 31.0

D-732 psi 10,000 MPa 68.9

D-256 ft. - lbs./in. 25 J/mm 1.33

D-256 ft. - lbs./in. 4 J/mm 0.21

D-953 psi 30,000 MPa 206.8

ASTM UNITS VALUE UNITS VALUE

D-2583 ---- 45 ---- 45

D-570 % Max 0.45 % Max 0.45

D-792 lbs./in.3 0.062 -0.070 g/cm 1.72-1.94

D-696 106 in./in./F 7 106 cm./cm./C 12

ASTM UNITS VALUE UNITS VALUE

D-495 seconds 120 seconds 120

D-149 kv/in. 35 kv/mm. 1.37

D-149 volts/mil. 200 volts/mil. 200

D-150 @60hz 5 @60hz 5

ASTM VALUE

E-84

D-635

94

E-662

Flexural Modulus, LW

MECHANICAL PROPERTIESTensile Stress, LW

Tensile Stress, CW

Tensile Modulus, LW

Tensile Modulus, CW

Compressive Stress, LW

Compressive Stress, CW

Compressive Modulus, LW

Compressive Modulus, CW

Flexural Stress, LW

Flexural Stress, CW

24 Hour Water Absorption

Flexural Modulus, CW

Modulus of Elasticity, E

Shear Modulus

Short Beam Shear

Punch Shear

Notched Izod Impact, LW

Notched Izod Impact, CW

Bearing Strength

PHYSICAL PROPERTIES

Bar Hardness

Flame Spread 25 max.

Density

Coefficient of Thermal Expansion, LW

ELECTRIC PROPERTIES

Arc Resistance, LW

Dielectric Strength, LW

UNITS

METRICENGLISH

NBS Smoke Chamber Smoke Density 600-700

Flammability ---- Nonburning

UL ---- VO

Dielectric Strength, PF

Dielectric Constant, PF

FLAMMABILITY PROPERTIES

Tunnel Test

LW = Lengthwise PF = Perpendicular to Laminate FaceCW = Crosswise

TYPICAL COUPON PROPERTIES

The values listed below are test results from coupon tests performed in accordance with designated ASTM Test.

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Below are test results for minimum ultimate properties of FRP Threaded Rod. Properties are derived from ASTM test method shown. Premium Vinyl Ester Resin only with Ultra-Violet Inhibitors added. Fire Retardant to ASTM-E-84 Class 1.

VINYL ESTER THREADED ROD: ULTIMATE PROPERTIES

DIAMETER - THREADS PER INCH (UNC)

3/8 - 16 1/2 - 13 5/8 - 11 3/4 - 10 1 - 8

ASTM metric- 9.5mm 12.7mm 15.9mm 19.0mm 25.4mm

UltimateTransverse Shear(Double Shear)

B-565lb. 4,200 6,800 10,000 13,400 24,000

N 18,680 30,240 44,480 59,600 106,750

Longitudinal Compressive Strength D-695psi 50,000 50,000 50,000 50,000 50,000

MPa 344 344 344 344 344

Flexural Strength D-790psi 70,000 70,000 70,000 70,000 70,000

MPa 482 482 482 482 482

Flexural Modulus D-790psi x 106 2.5 2.5 2.5 2.5 2.5

GPa 17.2 17.2 17.2 17.2 17.2

Flammability D-635 Self- Extinguishing For All

Fire Retardant E-84 Class 1

Water Absorption (24 hr. immersion) D-570 % max. 0.8 0.8 0.8 0.8 0.8

Longitudinal Coefficient ofThermal Expansion

D-696106 in./in./F 6 6 6 6 6

106 mm./mm./C 11 11 11 11 11

Ultimate Thread Shearusing fiberglass nut

_ _lb. 1,200 2,400 3,600 4,000 8,200

N 5,337 10,670 16,010 17,790 36,470

Ultimate Torque Strength fiberglass nut lubricated with SAE 10W30 Motor Oil

_ _ft. - lb. 8 16 35 50 110

N-m 10 21 47 67 149

Rod Weight _ _lb./ft. 0.07 0.14 0.2 0.3 0.5

Kg./m 0.104 0.119 0.297 0.447 0.789

Nut weight _ _lb. 0.01 0.02 0.04 0.06 0.14

gm 4.5 9.1 18.1 27.2 63.6

Nut Dimensions _ _

in. (square)x in. (thick) .68 x .45 .86 x .56 1.06 x .69 1.24 x .82 1.63 x 1.1

mm. (square)x mm. (thick)

17.2 x 11.4 21.8 x 14.2 26.9 x 17.5 31.5 x 20.8 41.4 x 27.9

Color Grey

GENERAL TOLERANCES

GEN

ERA

L TO

LERA

NCE

S

2


SHAPE DIMENSION TOLERANCE % of NOMINAL

MAXIMUM OR MINIMUM

TOLERANCES

ANGLES

t = thickness 10% 0.010" min.

b = flange width 5% 0.094" max.

d = depth 5% 0.094" max.

CHANNELS t = thickness 10% 0.010" min.


d = depth 5% 0.094" max.

I, W SHAPES



d = depth 5% 0.094" max.

FLAT BAR STOCK


b = width 3% + 0.094" max. 0.187" min.

CROSS SECTIONAL TOLERANCES

GEN

ERA

L TO

LERA

NCE

S

2


SHAPE DIMENSION OUTSIDE DIMENSION CONDITION TOLERANCES

ROUND & SQUARE TUBE t = thickness

Under 1" 20%

1" and up 15%

od = outside dim.

Under 1" 0.020"

2" and up 0.040"

ROUND ROD & SQUARE BAR

od = outside dim. Up to 3" 0.010"

STRUCTURAL SHAPES RODS, BARS, & FLAT SHEET

ALLOWABLE DEVIATION FROM FLAT

WIDTH ALL THICKNESS

Up to 1" 0.008"

Over 1" 0.008"/in.

HOLLOW SHAPES

ALLOWABLE DEVIATION FROM FLAT

WIDTH THICKNESS 0.125" TO

0.188"

THICKNESS 0.189" AND OVER

Up to 1" 0.012" 0.008"

Over 1" 0.012"/in. 0.008"/in.

Flatness is measured in the center with the weight of the profile minimizing the deviation by contact with a flat surface.

FLATNESS

odod

odod

GEN

ERA

L TO

LERA

NCE

S

2


ANGLE, BEAM AND CHANNEL

ALLOWABLE DEVIATION FROM STRAIGHT

All Widths 0.050"/ft.

RODS AND BARS


DIAMETER/DEPTH PER FOOT

Up to 1" 0.020"

Over 1" 0.040"

ROUND, SQUARE, AND RECTANGULAR TUBE


DIAMETER/DEPTH PER FOOT

Up to 2" 0.020"

Over 2" 0.030"

FLAT BAR STOCK


All Thicknesses and Widths 0.025"/ft.

Straightness is measured in the center with the weight of the pultrusion minimizing the deviation by contact with a flat surface.

STRAIGHTNESS

GEN

ERA

L TO

LERA

NCE

S

2


Twist is measured with the weight of the pultrusion minimizing the twist.

ALL PROFILES

ALLOWABLE TWIST

WIDTH/DEPTH PER FOOT PER PIECE MAX.

Up to 1.499" tan 1 x width tan 7 x width

1.500" to 2.999" tan 1/2 x width tan 5 x width

3.000" and over tan 1/3 x width tan 3 x width

TWIST

ALL PROFILES

ALLOWABLE DEVIATION FROM SPECIFIC ANGLE

Thickness up to 3/4" tan 1 1/2 x width of flange in inches

ANGULARITY

ALL PROFILES

ALLOWABLE DEVIATION FROM SPECIFIC ANGLE

Up to 20' -0, +1/2"/cut length (accounting for the cutting blade width)

Over 20' to 50' -0, +1"/cut length (accounting for the cutting blade width)

CUT LENGTHS (STOCK)

ALL PROFILES

ALLOWABLE DEVIATION FROM SQUARE

All thicknesses tan 1 x width in inches

SQUARENESS OF ENDCUT

SECTION PROPERTIES

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The section table values on the following pages have been calculated from nominal dimensions. All shapes shown in the tables are available, but not all are stocked. Availability information is noted on the individual uniform load tables.

A

b

d

h

I

od

r

S

t

tb

td

Wt

Notation

Cross Sectional Area (in.2)

Width of Section (in.)

Depth of Section/Diameter of Rod (in.)

Length of Angle Leg (in.)

Moment of Inertia (in.4)

Outside Diameter of Tube (in.)

Radius of Gyration (in.)

Section Modulus (in.3)

Thickness (in.)

Thickness of Width Dimension (in.)

Thickness of Depth Dimension (in.)

Weight of Section per Lineal Foot (lbs.)

ELEMENTS OF SECTIONS OF STRUCTURAL SHAPES

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h t A Wt I S r x/y

in. in. in. lb./ft. in. in. in. in.

1.00 1/8 0.23 0.18 0.02 0.05 0.30 0.30

1.25 1/8 0.30 0.23 0.04 0.05 0.38 0.36

1.50 3/16 0.53 0.41 0.11 0.10 0.46 0.44

1.50 1/4 0.69 0.54 0.14 0.13 0.45 0.47

2.00 1/4 0.94 0.73 0.35 0.25 0.61 0.59

3.00 1/4 1.44 1.12 1.24 0.58 0.93 0.84

3.00 3/8 2.11 1.65 1.76 0.83 0.91 0.89

3.00 1/2 2.75 2.15 2.22 1.07 0.90 0.93

4.00 1/4 1.90 1.51 3.04 1.05 1.25 1.09

4.00 3/8 2.86 2.23 4.36 1.52 1.23 1.14

4.00 1/2 3.75 2.93 5.56 1.97 1.22 1.18

6.00 3/8 4.36 3.40 15.39 3.53 1.88 1.64

6.00 1/2 5.70 4.45 19.91 4.60 1.87 1.68

SECTION DIMENSIONS SECTION PROPERTIES

WALL X - X/Y - YDEPTH

EQUAL LEG ANGLE

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s

y

X X

Y

Y

h

DOUBLE ANGLES

A Wth t (2 angles) (2 angles) I S r y

in. in. in. lb./ft. in. in. in. in. 0 1/4 1/2

2 1/4 1.84 1.46 0.68 0.48 0.60 0.58 0.85 0.94 1.04

3 1/4 2.84 2.26 2.36 1.08 0.91 0.82 1.25 1.34 1.43

3 3/8 4.18 3.32 3.40 1.60 0.90 0.87 1.27 1.36 1.46

3 1/2 5.40 4.29 4.47 1.97 0.91 0.91 1.39 1.46 1.52

4 1/4 3.84 3.08 5.88 2.00 1.23 1.07 1.66 1.74 1.83

4 3/8 5.68 4.62 8.52 2.96 1.22 1.12 1.68 1.77 1.86

4 1/2 7.50 5.72 11.12 3.94 1.22 1.18 1.70 1.78 1.88

6 3/8 8.68 6.88 29.70 6.76 1.85 1.60 2.49 2.58 2.66

6 1/2 11.44 9.28 38.76 8.92 1.84 1.66 2.51 2.59 2.65

SECTION PROPERTIES

X - X RADII OF GYRATION AXIS Y-YSECTION DIMENSIONS

s, BACK TO BACK OF ANGLES IN.

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d b td tb A Wt Ri Ro I S r I S r

in. in. in. in. in. lb./ft. in. in. in. in. in. in. in. in.

3 13/16 1/8 1/8 0.50 0.43 1/32 3/16 0.64 0.43 1.04 0.03 0.04 0.22

3 1 1/8 1/8 0.93 0.68 1/32 3/16 0.73 0.77 1.05 0.05 0.08 0.22

3 1 1/4 1/4 1.13 0.88 1/8 3/8 1.27 0.85 1.06 0.08 0.12 0.27

3 1 1/2 1/8 1/8 0.72 0.95 1/16 3/16 1.43 0.95 1.13 0.12 0.13 0.35

3 1 1/2 1/4 1/4 1.38 1.07 1/8 3/8 1.75 1.16 1.15 0.28 0.27 0.45

4 1 1/8 1/4 1/4 1.44 1.12 1/8 3/8 2.87 1.44 1.41 0.13 0.16 0.30

4 1 3/8 3/16 3/16 1.20 0.93 1/8 5/16 2.62 1.31 1.48 0.19 0.18 0.40

6 1 5/8 1/4 1/4 2.19 1.71 1/8 3/8 10.19 3.40 2.16 0.43 0.34 0.44

6 1 11/16 3/8 3/8 3.23 2.52 1/8 1/8 14.55 4.85 2.12 0.66 0.53 0.45

8 2 3/16 3/8 3/8 4.36 3.40 3/16 9/16 35.77 8.94 2.86 1.53 0.92 0.59

10 2 3/4 3/8 3/8 5.38 4.06 3/16 9/16 69.90 13.92 3.60 3.14 1.48 0.75

10 2 3/4 1/2 1/2 7.25 5.66 1/4 3/4 92.48 18.50 3.57 3.99 1.92 0.74

12 3 1/2 1/2 8.50 6.63 1/4 3/4 154.71 25.78 4.27 5.40 2.34 0.80

SECTION PROPERTIES

X - X Y - YSECTION DIMENSIONS

X X

Ri

bRo

t

d

Y

Y

CHANNEL

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b

t

d

Y

Y

XX

I SHAPE

d b t A Wt I S r I S r

in. in. in. in. lb./ft. in. in. in. in. in. in.

3 1 1/2 1/4 1.38 1.08 1.75 1.17 1.13 0.14 0.19 0.32

4 2 1/4 1.88 1.46 4.41 2.21 1.53 0.34 0.34 0.43

6 3 1/4 2.88 2.24 15.87 5.29 2.35 1.13 0.75 0.63

6 3 3/8 4.22 3.29 22.35 7.45 2.30 1.71 1.14 0.64

8 4 3/8 5.72 4.46 55.55 13.89 3.12 4.03 2.02 0.84

8 4 3/8 - 1/2 6.61 4.90 63.80 15.42 3.09 4.72 2.41 0.84

8 4 1/2 7.50 5.85 70.62 17.66 3.07 5.41 2.70 0.85

10 5 3/8 7.22 5.63 111.63 22.33 3.93 7.85 3.14 1.04

10 5 1/2 9.50 7.41 143.29 28.66 3.88 10.51 4.20 1.05

12 6 1/2 11.5 8.97 253.96 42.33 4.70 18.11 6.04 1.26

18 4 1/2 3/8 - 1/2 10.88 8.48 498.15 55.35 6.77 7.67 3.41 0.84

24 7 1/2 3/8 - 3/4 19.69 15.36 1876.82 156.40 9.76 52.83 14.09 1.64

SECTION PROPERTIES


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XX

Y

Yb

t

d



3 3 1/4 2.13 1.64 3.17 2.11 1.22 1.13 0.75 0.73

4 4 1/4 2.89 2.15 7.94 3.97 1.66 2.67 1.34 0.96

6 6 1/4 4.39 3.40 28.28 9.43 2.54 9.01 3.00 1.43

6 6 3/8 6.48 4.90 40.17 13.39 2.49 13.52 4.51 1.44

8 8 3/8 8.73 6.49 99.19 24.80 3.37 32.03 8.01 1.92

8 8 1/2 11.51 8.70 126.96 31.74 3.32 42.74 10.69 1.93

10 10 3/8 11.06 8.74 198.53 39.71 4.24 62.54 12.51 2.38

10 10 1/2 14.51 10.90 256.20 51.24 4.21 83.42 16.68 2.40

12 12 1/2 17.51 13.20 452.45 75.45 5.08 144.11 24.02 2.87

SECTION PROPERTIES


W SHAPE

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d t A Wt I S r

in. in. in. lb./ft. in. in. in.

1 1/8 0.44 0.34 0.06 0.11 0.36

1 1/4 0.75 0.59 0.08 0.16 0.32

1 1/4 1/8 0.56 0.44 0.12 0.19 0.46

1 1/4 1/4 1.00 0.78 0.18 0.28 0.42

1 1/2 1/8 0.69 0.54 0.22 0.29 0.56

1 1/2 1/4 1.25 0.98 0.34 0.45 0.52

1 3/4 1/8 0.81 0.63 0.36 0.41 0.67

1 3/4 1/4 1.5 1.17 0.58 0.66 0.62

2 1/8 0.94 0.73 0.55 0.55 0.77

2 1/4 1.75 1.37 0.91 0.91 0.72

2 3/8 2.44 1.90 1.13 1.13 0.68

2 1/4 1/8 1.06 0.83 0.80 0.71 0.87

2 1/4 1/4 2.00 1.56 1.35 1.20 0.82

3 1/8 1.44 1.12 1.98 1.32 1.17

3 1/4 2.75 2.15 3.49 2.33 1.13

4 1/4 3.75 2.93 8.83 4.41 1.53


SQUARE TUBE

SECT

ION

PRO

PERT

IES

3


d A Wt I S r I S rin. in. lb./ft. in. in. in. in. in. in.1 1.00 0.88 0.08 0.17 0.29 0.08 0.17 0.29

1 1/4 1.56 1.37 0.20 0.33 0.36 0.20 0.33 0.36

1 1/2 2.25 1.98 0.42 0.56 0.43 0.42 0.56 0.43

SECTION PROPERTIES


SQUARE BAR

SECT

ION

PRO

PERT

IES

3


od t A Wt I S rin. in. in. lb./ft. in. in. in.1 3/32 0.27 0.22 0.03 0.06 0.32

1 1/8 0.34 0.25 0.03 0.07 0.31

1 1/8 1/8 0.39 0.33 0.05 0.09 0.36

1 1/4 3/32 0.34 0.27 0.06 0.09 0.41

1 1/4 1/8 0.44 0.32 0.07 0.11 0.40

1 1/4 1/4 0.79 0.61 0.10 0.17 0.36

1 1/2 1/8 0.54 0.45 0.13 0.17 0.49

1 1/2 1/4 0.98 0.79 0.20 0.27 0.45

1 3/4 1/8 0.64 0.51 0.21 0.24 0.58

1 3/4 1/4 1.18 0.94 0.34 0.39 0.54

1 7/8 3/16 0.99 0.88 0.36 0.38 0.60

2 1/4 1.37 1.08 0.54 0.54 0.62

3 1/4 2.16 1.70 2.06 1.37 0.98

3 1/2 3.93 2.98 3.19 2.13 0.90


ROUND TUBE

SECT

ION

PRO

PERT

IES

3


od A Wt I S r

in. in. lb./ft. in. in. in.

0.2500 0.049 0.044 0.0002 0.0016 0.0625

0.3000 0.071 0.062 0.0004 0.0027 0.0750

0.3125 0.077 0.067 0.0005 0.0030 0.0781

0.3500 0.096 0.083 0.0007 0.0042 0.0875

0.3750 0.110 0.095 0.0010 0.0052 0.0938

0.4375 0.150 0.133 0.0018 0.0082 0.1094

0.4720 0.175 0.150 0.0024 0.0103 0.1180

0.4800 0.181 0.160 0.0026 0.0109 0.1200

0.5000 0.196 0.172 0.0031 0.0123 0.1250

0.6250 0.307 0.270 0.0075 0.0240 0.1563

0.7500 0.442 0.397 0.0156 0.0414 0.1875

0.8125 0.518 0.460 0.0214 0.0527 0.2031

0.8750 0.601 0.534 0.0288 0.0658 0.2188

1.0000 0.785 0.697 0.0491 0.0982 0.2500

1.2500 1.227 1.094 0.1198 0.1917 0.3125

1.5000 1.766 1.571 0.2485 0.3313 0.3750


SOLID ROUND ROD

SECT

ION

PRO

PERT

IES

3




1 1/2 1 1/2 1/4 1.20 1.10 0.51 0.33 0.65 0.51 0.33 0.65

2 1 1/2 1/4 1.33 1.13 0.88 0.54 0.81 0.51 0.33 0.62

3 2 1/4 1.58 1.86 1.25 0.63 1.18 0.54 0.41 0.77

SECTION PROPERTIES


EMBEDMENT ANGLE

BEA

MS

4


Notation Assumptions

Aw Area of Web (in.2) Beam is simply supported at both ends

E Modulus of Elasticity (lbs./in.2)

fb Actual Flexural Stress (lbs./in.2) Uniformly Distributed Load

Fb Maximum Allowable Flexural Stress (lbs./in.2)

fv Actual Shear Stress (lbs./in.2) Load is applied perpendicular to major axis

Fv Maximum Allowable Shear Stress (lbs./in.2)

G Shear Modulus (lbs./in.2) Adequate Lateral Support

I Moment of Inertia (in.4) (Full Lateral Support for Channels)

L Span Length (in.)

M Maximum Moment (lb.-in.) Part Weight Deducted In Tables

S Section Modulus (in.3)

V Vertical Shear Force (lbs.) Safety Factor of 3.0 Applied for Both Flexural and Shear Stress

w Uniform Load (lb./in.)

v Poissons Ratio

FaCB Allowable Critical Buckling Stress For Laterally Supported H & I Beams (lbs./in.2)

Properties/Allowable Limits (F.S. = 3) Formulas

E = 2.8 x 106 lbs./in.2

G = 450,000 lbs./in.2

fb Fb = 10,000 lbs./in.

2 ( ) fv Fv = 1,500 lbs./in.2

v = 0.33 [ ( )( ) ( )( ) ( )( )] Density = 0.062-0.070 lb./in.3

The following load tables were generated based on 3-point bending tests conducted on full sections of structural shapes, as well as the formulas, properties and assumptions listed below. Tested were American Gratings Channels, I-Shapes, W-Shapes and Square Tubes.

ALLOWABLE UNIFORM LOAD TABLES

BEA

MS

4


The table below gives the recommended maximum lateral support spacing required to produce the full bending capacity of these members.

LATERAL SUPPORT REQUIREMENTS

LATERAL SUPPORT REQUIREMENTS - FRP STRUCTURAL SHAPES

MEMBER LATERAL SUPPORT SPACING MEMBER LATERAL SUPPORT SPACING

C6" x 1/4" 48" I10" x 3/8" 60"

C8" x 3/8" 60" I12" x 1/2" 84"

C10" x 3/8" 60" W4" x 1/4" 60"

C10" x 1/2" 60" W6" x 1/4" 84"

C12" x 1/2" 60" W6" x 3/8" 96"

I4" x 1/4" 24" W8" x 3/8" 108"

I6" x 1/4" 36" W10" x 3/8" 156"

I8" x 3/8" 48" W12" x 1/2" 168"

BEA

MS

4


BEAMS - ALLOWABLE UNIFORM LOADS (lbs./ft.)Laterally Supported

Aw = 0.50 in.2 Wt. = 0.43 lbs./ft. I = 0.64 in.4 S= 0.43 in.3

C3 x 13/16 x 1/8 CHANNEL

SPAN(ft) L/100 L/150 L/180 L/240 L/3603 317 Fb 201 200 167 125 83

4 178 Fb 135 80 75 56 37

5 114 Fb 71 47 39 29 19

6 79 Fb 41 27 23 17 11

7 57 Fb 26 17 14 10 7

8 44 Fb 17 11 9 7 4

9 34 Fb 12 8 6 4 3

10 28 Fb 8 5 4 3 2

MAXIMUM LOADDEFLECTION RATIO

This is not a stocked item.The mill run on this item is 1500 ft.Orders for less than mill run quantities will be subject to set up charges as well as premium per foot cost.

BEA

MS

4




C3 x 1 x 1/8 CHANNEL

SPAN(ft) L/100 L/150 L/180 L/240 L/3603 539 Fv 340 227 189 141 94

4 404 Fv 153 102 85 63 42

5 323 Fv 80 53 44 33 22

6 252 Fb 47 31 26 19 12

7 185 Fb 30 20 16 12 8

8 141 Fb 20 13 11 8 5

9 111 Fb 13 9 7 5 3

10 90 Fb 9 6 5 3 2






SPAN(ft) L/100 L/150 L/180 L/240 L/3603 624 Fv 591 394 328 246 163

4 353 Fb 267 178 148 111 74

5 226 Fb 141 94 78 58 39

6 157 Fb 83 55 46 34 23

7 115 Fb 53 35 29 21 14

8 88 Fb 35 23 19 14 9

9 69 Fb 25 16 13 10 6

10 56 Fb 18 12 10 7 4



BEA

MS

4




C3 x 1 1/2 x 1/8 CHANNEL

SPAN(ft) L/100 L/150 L/180 L/240 L/3603 591 Fb * 415 346 259 173

4 394 Fb 286 191 159 119 79

5 252 Fb 152 101 84 63 41

6 174 Fb 90 60 50 37 24

7 128 Fb 55 36 30 22 15

8 98 Fb 37 24 20 15 10

9 77 Fb 25 17 14 10 6

10 62 Fb 19 12 10 7 4






SPAN(ft) L/100 L/150 L/180 L/240 L/3603 617 Fv * 511 425 319 212

4 346 Fv * 236 196 147 97

5 221 Fb 189 126 104 78 51

6 153 Fb 112 74 61 45 30

7 112 Fb 71 46 38 28 18

8 85 Fb 47 31 25 19 12

9 67 Fb 33 21 17 13 8

10 54 Fb 24 15 12 9 5



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3603 874 Fv * 812 676 507 338

4 532 Fb * 381 317 237 158

5 340 Fb 308 205 171 128 85

6 236 Fb 183 122 101 76 50

7 173 Fb 117 78 65 48 32

8 132 Fb 79 52 44 32 21

9 104 Fb 56 37 31 23 15

10 84 Fb 41 27 22 16 11



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3603 435 Fv * * * * 296

4 244 Fv * * * 211 141

5 156 Fb * * 153 115 76

6 108 Fb * * 92 68 45

7 79 Fb * 71 59 44 29

8 60 Fb * 48 40 29 19

9 48 Fb * 34 28 21 13

10 38 Fb 37 24 20 15 10



BEA

MS

4


SPAN(ft) L/100 L/150 L/180 L/240 L/3605 536 Fv * * * 405 269

6 371 Fb * * 332 249 165

7 272 Fb * 261 217 162 107

8 208 Fb * 179 149 111 73

9 164 Fb * 127 106 79 52

10 132 Fb * 93 78 58 38

11 109 Fb 107 70 58 43 28

12 91 Fb 82 54 45 33 21

13 78 Fb 65 43 35 26 17

14 67 Fb 52 34 28 20 13

15 58 Fb 42 27 22 16 10





This item is stocked in 20 ft. lengths. Other lengths available in mill run quantities.The mill run on this item is 1,000 ft.For special lengths less then mill run quantities, please call to check on pricing and availability.

BEA

MS

4




C6 x 1 11/16 x 3/8 CHANNEL

SPAN(ft) L/100 L/150 L/180 L/240 L/3605 1178 Fv * 928 773 579 385

6 895 Fb 857 570 475 355 236

7 657 Fb 560 372 310 232 153

8 502 Fb 384 255 212 158 105

9 396 Fb 274 182 151 112 74

10 320 Fb 202 133 111 82 54

11 264 Fb 152 101 83 62 40

12 222 Fb 118 77 64 47 31

13 188 Fb 92 61 50 37 24

14 162 Fb 74 48 40 29 18

15 141 Fb 60 39 32 23 14



BEA

MS

4


SPAN(ft) L/100 L/150 L/180 L/240 L/3605 1627 Fv * * * 1235 822

6 1271 Fv * 1261 1050 787 523

7 932 Fv * 845 705 527 350

8 713 Fb * 590 491 367 244

9 563 Fb * 426 355 265 175

10 455 Fb * 317 264 197 130

11 375 Fb 364 241 201 149 98

12 315 Fb 283 188 156 116 76

13 268 Fb 224 148 123 91 59

14 230 Fb 180 119 98 73 47

15 200 Fb 147 97 80 59 38

16 175 Fb 121 79 65 48 31

17 155 Fb 101 66 54 40 25

18 138 Fb 85 55 45 33 21

19 123 Fb 72 46 38 27 17

20 111 Fb 61 39 32 23 14





This item is stocked in 20 ft. lengths. Other lengths available in mill run quantities.The mill run on this item is 500 ft.For special lengths less then mill run quantities, please call to check on pricing and availability.

BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3605 1627 Fv * * * 1356 903

6 1355 Fv * * 1245 933 620

7 1161 Fv * 1065 887 664 441

8 1015 Fv * 781 651 487 323

9 902 Fv 884 588 490 366 243

10 811 Fv 681 453 377 281 186

11 737 Fv 535 355 295 221 146

12 640 Fb 427 283 235 175 116

13 545 Fb 345 229 190 142 93

14 469 Fb 283 187 155 116 76

15 408 Fb 234 155 128 95 62

16 358 Fb 196 130 107 79 52

17 317 Fb 164 108 89 66 43

18 282 Fb 150 99 81 60 39

19 253 Fb 139 92 76 56 36

20 227 Fb 120 79 65 48 31

21 206 Fb 104 68 56 41 26

22 187 Fb 91 59 49 35 22

23 171 Fb 80 52 43 31 19

24 157 Fb 69 45 37 26 16

25 144 Fb 61 39 32 23 14



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3606 1869 Fv * * * 1802 1199

7 1601 Fv * * * 1239 824

8 1400 Fv * * 1177 882 586

9 1244 Fv * 1037 864 646 429

10 1090 Fb * 781 650 486 322

11 900 Fb * 600 499 373 247

12 755 Fb 709 470 391 292 193

13 643 Fb 565 375 311 232 153

14 553 Fb 457 303 251 187 123

15 481 Fb 374 248 205 153 100

16 422 Fb 310 205 170 126 82

17 373 Fb 259 171 141 105 68

18 332 Fb 219 144 119 88 56

19 298 Fb 186 122 101 74 47

20 268 Fb 160 104 86 63 40

21 243 Fb 138 90 74 54 34

22 220 Fb 119 78 64 46 29

23 201 Fb 104 67 55 40 25

24 184 Fb 91 59 48 34 21

25 169 Fb 80 51 42 30 18



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3606 2285 Fv * * * * 1714

7 1957 Fv * * * 1799 1197

8 1712 Fv * * * 1296 862

9 1409 Fv * * 1282 960 637

10 1140 Fv * * 972 727 482

11 941 Fv * 903 752 562 372

12 790 Fb * 712 592 442 292

13 672 Fb * 569 473 353 233

14 578 Fb * 462 384 286 188

15 503 Fb * 379 315 234 154

16 441 Fb * 315 261 194 127

17 390 Fb * 264 218 162 106

18 347 Fb 337 223 184 137 89

19 311 Fb 288 190 157 116 75

20 280 Fb 247 162 134 99 64



BEA

MS

4




C6 x 1-5/8 x 1/4 CHANNEL BACK TO BACK

SPAN(ft) L/100 L/150 L/180 L/240 L/3605 1072 Fv * * * 810 538

6 742 Fb * * 664 498 330

7 544 Fb * 522 434 324 214

8 416 Fb * 358 298 222 146

9 328 Fb * 254 212 158 104

10 264 Fb * 186 156 116 76

11 218 Fb 214 140 116 86 56

12 182 Fb 164 108 90 66 42

13 156 Fb 130 86 70 52 34

14 134 Fb 104 68 56 40 26

15 116 Fb 84 54 44 32 20


This item is stocked in 20 ft. lengths. Other lengths available in mill run quantities.The mill run on this item is 1,000 ft.For special lengths less then mill run quantities, please call to check on pricing and availability.

BEA

MS

4




C8 x 2 3/16 x 3/8 CHANNEL BACK TO BACK

SPAN(ft) L/100 L/150 L/180 L/240 L/3605 3254 Fv * * * 2470 1644

6 2542 Fv * 2522 2100 1574 1046

7 1864 Fv * 1690 1410 1054 700

8 1426 Fb * 1180 982 734 488

9 1126 Fb * 852 710 530 350

10 910 Fb * 634 528 394 260

11 750 Fb 728 482 402 298 196

12 630 Fb 566 376 312 232 152

13 536 Fb 448 296 246 182 118

14 460 Fb 360 238 196 146 94

15 400 Fb 294 194 160 118 76

16 350 Fb 242 158 130 96 62

17 310 Fb 202 132 108 80 50

18 276 Fb 170 110 90 66 42

19 246 Fb 144 92 76 54 34

20 222 Fb 122 78 64 46 28


This item is stocked in 20 ft. lengths. Other lengths available in mill run quantities.The mill run on this item is 500 ft.For special lengths less then mill run quantities, please call to check on pricing and availability.

BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3605 3254 Fv * * * 2712 1806

6 2710 Fv * * 2490 1866 1240

7 2322 Fv * 2130 1774 1328 882

8 2030 Fv * 1562 1302 974 646

9 1804 Fb 1768 1176 980 732 486

10 1622 Fb 1362 906 754 562 372

11 1474 Fb 1070 710 590 442 292

12 1280 Fb 854 566 470 350 232

13 1090 Fb 690 458 380 284 186

14 938 Fb 566 374 310 232 152

15 816 Fb 468 310 256 190 124

16 716 Fb 392 260 214 158 104

17 634 Fb 328 216 178 132 86

18 564 Fb 300 198 162 120 78

19 506 Fb 278 184 152 112 72

20 454 Fb 240 158 130 96 62

21 412 Fb 208 136 112 82 52

22 374 Fb 182 118 98 70 44

23 342 Fb 160 104 86 62 38

24 314 Fb 138 90 74 52 32

25 288 Fb 122 78 64 46 28



BEA

MS

4



Aw = 14.04 in.2 Wt. = 10.60 lbs./ft. I = 185 in.4 S= 37 in.3


SPAN(ft) L/100 L/150 L/180 L/240 L/3606 3738 Fv * * * 3604 2398

7 3202 Fv * * * 2478 1648

8 2800 Fv * * 2354 1764 1172

9 2488 Fv * 2074 1728 1292 858

10 2180 Fb * 1562 1300 972 644

11 1800 Fb * 1200 998 746 494

12 1510 Fb 1418 940 782 584 386

13 1286 Fb 1130 750 622 464 306

14 1106 Fb 914 606 502 374 246

15 962 Fb 748 496 410 306 200

16 844 Fb 620 410 340 252 164

17 746 Fb 518 342 282 210 136

18 664 Fb 438 288 238 176 112

19 596 Fb 372 244 202 148 94

20 536 Fb 320 208 172 126 80

21 486 Fb 276 180 148 108 68

22 440 Fb 238 156 128 92 58

23 402 Fb 208 134 110 80 50

24 368 Fb 182 118 96 68 42

25 338 Fb 160 102 84 60 36



BEA

MS

4



Aw = 11 in.2 Wt. = 13.26 lbs./ft. I = 287.0 in.4 S= 47.8 in.3

C12 x 3 x 1/2 CHANNEL BACK TO BACK

SPAN(ft) L/100 L/150 L/180 L/240 L/3606 4570 Fv * * * * 3428

7 3914 Fv * * * 3598 2394

8 3424 Fv * * * 2592 1724

9 2818 Fv * * 2564 1920 1274

10 2280 Fv * * 1944 1454 964

11 1882 Fv * 1806 1504 1124 744

12 1580 Fb * 1424 1184 884 584

13 1344 Fb * 1138 946 706 466

14 1156 Fb * 924 768 572 376

15 1006 Fb * 758 630 468 308

16 882 Fb * 630 522 388 254

17 780 Fb * 528 436 324 212

18 694 Fb 674 446 368 274 178

19 622 Fb 576 380 314 232 150

20 560 Fb 494 324 268 198 128



BEA

MS

4




I3 x 1-1/2 x 1/4 I SHAPE

SPAN(ft) L/100 L/150 L/180 L/240 L/3604 468 Fv 355 237 197 147 98

5 311 Fb 190 126 105 79 52

6 216 Fb 113 75 62 46 30

7 158 Fb 72 47 39 29 19

8 121 Fb 48 32 26 19 13

9 95 Fb 34 22 18 13 9

10 77 Fb 24 16 13 10 6



BEA

MS

4




I4 x 2 x 1/4 I SHAPE

SPAN(ft) L/100 L/150 L/180 L/240 L/3604 655 Fv * 542 451 338 225

5 524 Fv 449 299 249 186 124

6 408 Fv 271 180 150 112 74

7 299 Fb 175 116 96 72 48

8 229 Fb 119 78 65 48 32

9 180 Fb 84 55 46 34 22

10 146 Fb 61 40 33 24 16

11 120 Fb 46 30 25 18 12

12 101 Fb 35 23 19 13 9



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3605 823 Fv * * 759 569 379

6 685 Fv * 576 479 359 239

7 587 Fv 575 383 319 239 158

8 513 Fv 400 266 221 166 110

9 433 Fv 289 192 159 119 79

10 350 Fb 214 142 118 88 58

11 289 Fb 163 108 89 67 44

12 243 Fb 126 84 69 51 34

13 206 Fb 100 66 55 40 26

14 178 Fb 80 53 44 32 21

15 155 Fb 65 43 35 26 17



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3605 1178 Fv * * 1074 805 536

6 981 Fv * 813 677 507 337

7 841 Fv 813 541 450 337 224

8 735 Fv 556 376 313 234 155

9 610 Fb 407 270 225 168 111

10 493 Fb 302 200 166 124 82

11 407 Fb 229 152 126 94 61

12 342 Fb 178 118 98 72 47

13 291 Fb 141 93 77 57 37

14 250 Fb 113 74 61 45 29

15 218 Fb 92 60 50 36 23

16 191 Fb 75 49 40 30 19

17 169 Fb 63 41 33 24 15

18 150 Fb 52 34 28 20 12



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3604 2035 Fv * * * * 1744

5 1627 Fv * * * * 1094

6 1355 Fv * * * 1083 721

7 1160 Fv * * 993 744 494

8 1015 Fv * 849 707 529 351

9 901 Fv * 622 518 387 256

10 811 Fv 704 468 389 291 192

11 737 Fv 542 359 299 223 147

12 638 Fb 425 281 234 174 114

13 543 Fb 338 224 186 138 90

14 467 Fb 273 181 150 111 72

15 407 Fb 224 147 122 90 58

16 357 Fb 174 122 101 74 49

17 315 Fb 154 101 84 61 39

18 281 Fb 130 85 70 51 33



BEA

MS

4




I8 x 1/2 x 4 x 3/8 I SHAPE

SPAN(ft) L/100 L/150 L/180 L/240 L/3606 1665 Fv * * * 1250 831

7 1426 Fv * 1375 1145 858 570

8 1247 Fv * 978 814 609 404

9 1108 Fv 1079 717 597 447 296

10 997 Fv 810 538 448 335 221

11 844 Fb 623 414 344 257 170

12 708 Fb 489 324 269 201 132

13 603 Fb 389 258 214 159 105

14 519 Fb 315 209 173 129 84

15 451 Fb 257 170 140 104 68

16 396 Fb 213 141 116 86 56

17 350 Fb 179 118 97 72 46

18 312 Fb 151 99 81 60 38

19 279 Fb 127 83 68 50 32

20 252 Fb 109 71 59 43 27



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3606 1744 Fv * * * 1383 920

7 1494 Fv * * 1267 949 631

8 1307 Fv * 1082 901 674 448

9 1161 Fv * 793 660 494 327

10 1044 Fv 897 596 496 370 245

11 949 Fv 690 458 381 284 187

12 812 Fb 541 358 298 222 146

13 691 Fb 431 285 237 176 115

14 595 Fb 348 230 191 142 92

15 517 Fb 285 188 156 115 75

16 454 Fb 236 155 128 95 61

17 401 Fb 197 129 107 79 50

18 357 Fb 166 109 90 66 42

19 320 Fb 141 92 76 55 35

20 288 Fb 121 78 64 47 29



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3607 1481 Fv * * * 1305 868

8 1295 Fv * * 1270 951 632

9 1150 Fv * 1141 949 711 472

10 1035 Fv * 871 725 542 359

11 940 Fv * 678 564 422 279

12 861 Fv 808 537 446 333 220

13 794 Fv 649 431 358 267 176

14 737 Fv 529 350 291 217 143

15 656 Fb 436 288 239 178 117

16 575 Fb 363 240 199 148 96

17 509 Fb 305 201 167 123 80

18 453 Fb 258 170 141 104 67

19 406 Fb 220 145 120 88 57

20 366 Fb 189 124 103 75 48

21 332 Fb 164 107 88 65 41

22 302 Fb 142 93 76 56 35

23 275 Fb 124 81 66 48 30

24 252 Fb 109 71 58 42 25

25 232 Fb 96 62 51 37 22



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3607 1921 Fv * * * 1681 1118

8 1680 Fv * * 1635 1225 814

9 1492 Fv * 1468 1222 914 607

10 1342 Fv * 932 932 697 462

11 1219 Fv * 725 725 542 359

12 1117 Fv 1038 573 573 428 283

13 1030 Fv 834 460 460 343 226

14 956 Fv 679 374 374 278 183

15 841 Fb 559 307 307 228 150

16 738 Fb 466 255 255 189 124

17 653 Fb 391 214 214 158 103

18 582 Fb 331 180 180 133 86

19 521 Fb 283 153 153 113 73

20 470 Fb 243 159 131 97 62

21 425 Fb 210 137 113 83 53

22 387 Fb 183 119 98 71 45

23 353 Fb 160 104 85 62 39

24 324 Fb 140 91 74 54 33

25 298 Fb 123 80 65 47 28



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3607 2348 Fv * * * * 1715

8 2054 Fv * * * 1922 1278

9 1824 Fv * * * 1463 972

10 1641 Fv * * 1514 1134 753

11 1491 Fv * 1434 1193 893 592

12 1366 Fv * 1147 954 713 473

13 1260 Fv * 929 773 577 382

14 1170 Fv 1147 762 633 473 312

15 1091 Fv 951 631 524 391 258

16 1022 Fv 796 528 438 327 215

17 962 Fv 673 445 370 275 180

18 862 Fb 573 379 314 222 153

19 773 Fb 491 324 269 199 130

20 696 Fb 424 279 231 171 111

21 631 Fb 368 242 200 148 96

22 574 Fb 321 211 174 129 83

23 524 Fb 282 185 152 112 72

24 481 Fb 248 162 134 98 62

25 442 Fb 220 143 118 86 55

26 408 Fb 195 127 104 76 48

27 378 Fb 174 113 93 67 42

28 351 Fb 156 101 83 60 37

29 327 Fb 140 90 74 53 32

30 305 Fb 126 81 66 47 28



BEA

MS

4




W4 x 4 x 1/4 W SHAPE

SPAN(ft) L/100 L/150 L/180 L/240 L/3604 654 Fv * * * 522 347

5 523 Fv * 483 402 301 200

6 435 Fv * 300 249 186 123

7 373 Fv 297 197 163 122 80

8 326 Fv 204 135 112 83 55

9 285 Fv 146 96 80 59 38

10 230 Fv 107 71 58 43 28

11 190 Fb 81 53 44 32 20

12 159 Fb 62 40 33 24 15

13 135 Fb 50 32 27 19 12

14 116 Fb 39 26 21 15 9

15 101 Fb 32 21 17 12 7


This item is stocked in 20 foot lengths.The mill run on this item is 800 ft.Orders for less than mill run quantities will be subject to set up charges as well as premium per foot cost.

BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3605 822 Fv * * * * 554

6 678 Fv * * * 549 364

7 497 Fv * * * 377 250

8 380 Fv * * 358 267 177

9 299 Fv * * 262 195 129

10 242 Fv * 237 196 146 96

11 199 Fv * 181 150 112 73

12 167 Fv * 142 117 87 57

13 313 Fv * 112 93 69 44

14 122 Fv * 90 75 55 35

15 106 Fv * 74 61 44 29


This item is stocked in 20 foot lengths.The mill run on this item is 500 ft.Orders for less than mill run quantities will be subject to set up charges as well as premium per foot cost.

BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3604 1472 Fv * * * * 1260

5 1177 Fv * * * * 790

6 980 Fv * * * 782 520

7 839 Fv * * 717 537 356

8 733 Fv * 613 510 381 252

9 651 Fv * 449 373 279 184

10 586 Fv 508 337 280 209 138

11 532 Fv 390 259 215 160 105

12 487 Fv 306 202 268 124 81

13 449 Fv 243 160 244 98 64

14 395 Fv 196 129 107 79 51

15 343 Fv 160 105 87 64 41


This item is not stocked.The mill run on this item is 500 ft.Orders for less than mill run quantities will be subject to set up charges as well as premium per foot cost.

BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3605 1625 Fv * * * * 1483

6 1353 Fv * * * * 1028

7 1158 Fv * * * 1105 735

8 1013 Fv * * * 811 539

9 899 Fv * * 815 609 404

10 809 Fv * 751 625 467 309

11 735 Fv * 586 488 364 240

12 673 Fv * 465 387 288 190

13 620 Fv 565 374 311 231 152

14 576 Fv 461 305 253 188 123

15 537 Fv 380 251 208 154 100

16 503 Fv 316 209 173 128 83

17 473 Fv 266 175 145 107 69

18 446 Fv 225 148 122 90 58

19 422 Fv 192 126 104 76 48

20 401 Fv 165 108 89 65 41



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3606 1741 Fv * * * * 1319

7 1491 Fv * * * 1418 942

8 1304 Fv * * * 1040 691

9 1158 Fv * * 1044 781 518

10 1041 Fv * 963 801 598 396

11 946 Fv * 751 625 466 308

12 866 Fv * 596 495 369 243

13 799 Fv 724 479 398 296 194

14 741 Fv 590 390 324 241 157

15 691 Fv 486 321 266 197 129

16 647 Fv 405 267 221 164 106

17 609 Fv 341 224 185 137 88

18 574 Fv 288 189 156 115 74

19 544 Fv 246 161 133 97 62

20 516 Fv 211 138 113 83 52

21 471 Fb 183 119 97 71 44

22 428 Fb 159 103 84 61 38

23 391 Fb 138 89 73 52 32

24 358 Fb 121 78 63 45 27

25 330 Fb 107 68 55 39 23



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3607 1478 Fv * * * * 1211

8 1292 Fv * * * * 915

9 1025 Fb * * * * 703

10 828 Fb * * * * 549

11 683 Fb * * * 658 435

12 573 Fb * * * 529 349

13 487 Fb * * * 430 284

14 418 Fb * * * 353 233

15 363 Fb * * * 293 192

16 318 Fb * * * 245 161

17 281 Fb * * 279 207 135

18 250 Fb * * 237 176 114

19 223 Fb * * 203 150 97

20 201 Fb * * 175 129 83

21 181 Fb * * 152 111 71

22 164 Fb * 160 132 97 61

23 149 Fb * 140 115 84 53

24 137 Fb * 123 101 74 46

25 125 Fb * 109 89 64 40



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3607 1918 Fv * * * * 1567

8 1677 Fv * * * * 1183

9 1489 Fv * * * 1370 910

10 1339 Fv * * * 1072 711

11 1216 Fv * * 1138 850 563

12 1114 Fv * 1100 915 684 452

13 1028 Fv * 896 745 556 367

14 953 Fv * 738 613 457 301

15 842 Fb * 614 510 379 249

16 739 Fb * 515 427 318 208

17 653 Fb * 435 361 268 175

18 582 Fb 562 371 307 228 148

19 521 Fb 482 318 263 195 126

20 469 Fb 417 274 227 167 108

21 424 Fb 362 238 196 144 93

22 386 Fb 316 207 171 125 80

23 352 Fb 278 181 149 109 69

24 322 Fb 245 160 131 96 60

25 296 Fb 217 141 115 84 52

26 273 Fb 192 125 102 74 46

27 252 Fb 172 111 90 65 40

28 234 Fb 153 99 80 57 35

29 217 Fb 138 88 72 51 30

30 202 Fb 124 79 64 45 26



BEA

MS

4





SPAN(ft) L/100 L/150 L/180 L/240 L/3607 2344 Fv * * * * 2273

8 2049 Fv * * * * 1760

9 1820 Fv * * * * 1383

10 1637 Fv * * * * 1102

11 1487 Fv * * * 1338 888

12 1350 Fb * * * 1091 723

13 1148 Fb * * * 899 595

14 988 Fb * * * 747 493

15 859 Fb * * 839 626 413

16 754 Fb * * 710 529 348

17 666 Fb * * 604 450 295

18 593 Fb * * 518 385 252

19 531 Fb * * 446 331 216

20 478 Fb * 468 387 287 186

21 432 Fb * 408 337 250 161

22 392 Fb * 358 295 219 140

23 358 Fb * 315 259 192 123

24 328 Fb * 278 230 169 107

25 301 Fb * 247 203 149 94

26 277 Fb * 220 181 132 83

27 256 Fb * 196 161 118 73

28 237 Fb * 176 144 105 65

29 220 Fb * 158 129 94 58

30 205 Fb * 142 116 84 51

31 191 Fb * 128 104 75 46

32 179 Fb * 116 94 67 40

33 167 Fb 164 105 85 61 36

34 157 Fb 149 95 77 54 32

35 147 Fb 136 86 70 49 28



BEA

MS

4




ST3 x 1/4 SQUARE TUBE

SPAN(ft) L/100 L/150 L/180 L/240 L/3604 935 Fv 710 472 393 294 195

5 618 Fb 380 252 210 156 103

6 428 Fb 224 149 123 92 60

7 314 Fb 142 94 78 58 37

8 240 Fb 96 63 52 38 24

9 189 Fb 67 43 36 26 16

10 152 Fb 48 31 25 18 11

11 125 Fb 36 23 18 13 8

12 105 Fb 27 17 14 9 5



BEA

MS

4




ST4 x 1/4 SQUARE TUBE

SPAN(ft) L/100 L/150 L/180 L/240 L/3604 1310 Fv * 1085 903 677 450

5 888 Fb * 599 499 373 248

6 616 Fb 543 361 301 225 149

7 452 Fb 351 233 194 144 95

8 345 Fb 238 158 131 98 64

9 272 Fb 169 112 92 69 45

10 220 Fb 123 81 67 50 32

11 181 Fb 93 61 50 37 24

12 152 Fb 71 46 38 28 18

13 129 Fb 56 36 30 21 13

14 111 Fb 44 28 23 17 10

15 96 Fb 35 23 18 13 8



COLUMNS

COLU

MN

S

5


The following tables were developed based on tests conducted on full sections of American Gratings Structural shapes. Testing was done to determine the ultimate stress vs. slenderness ratios. The following allowable concentric axial stress load tables were generated based on these ratios. A safety factor of three has been used in these tables.

ALLOWABLE CONCENTRIC AXIAL STRESS AND LOADS

Notation

A Area (in.2)

b Width of Flange/Leg (in.)

t Thickness of Flange (in.)

r Minimum Radius of Gyration (in.)

l Length (in.)

K Effective Column Length Factor

Fa Allowable Column Concentric Axial Stress (lb./in.2)

Pa Allowable Column Concentric Axial Load (lbs.)

AngleMaximum Allowable Stress

b/t 8 4,862 psi

b/t = 10.7 4,194 psi

b/t = 12 3,620 psi

b/t = 16 2,758 psi

Square TubesMaximum Allowable Stress

b/t 10 10,000 psi

b/t = 12 8,880 psi

b/t = 16 6,595 psi

I & W ShapesMaximum Allowable Stress

b/t 12 10,000 psi

b/t = 13.3 8,747 psi

t = 1/4" b/t = 16 7,208 psi

t > 1/4" b/t = 16 6,233 psi

b/t = 20 4,920 psi

b/t = 21.3 4,483 psi

t = 1/4" b/t = 24 4,167 psi

t > 1/4" b/t = 24 3,608 psi

b/t = 26.7 2,732 psi

COLU

MN

S5


COLUMNS - ALLOWABLE CONCENTRIC AXIAL STRESS AND LOADS

A = 0.92 in.2 r = 0.38 in. b/t = 8

L2x2x1/4ANGLECOLUMN

EFFECTIVE LENGTH (ft.)

Kl/r Fa (psi) Pa (lbs.)

0.5 15.8 4,862 4,473

1.0 31.6 2,807 2,582

1.5 47.4 2,077 1,911

2.0 63.2 1,684 1,549

2.5 78.9 1,416 1,303

3.0 94.7 1,211 1,114

3.5 110.5 1,079 993

4.0 126.3 988 909

4.5 142.1 891 820

5.0 157.9 833 766

5.5 173.7 752 692

6.0 189.5 667 614

COLU

MN

S

5




0.5 10.2 3,620 5,140

1.0 20.3 3,620 5,140

1.5 30.5 2,933 4,165

2.0 40.7 2,277 3,233

2.5 50.8 1,968 2,795

3.0 61.0 1,736 2,465

3.5 71.2 1,538 2,184

4.0 81.4 1,391 1,975

4.5 91.5 1,249 1,774

5.0 101.7 1,146 1,627

5.5 111.9 1,070 1,519

6.0 122.0 1,010 1,434

6.5 132.2 952 1,352

7.0 142.4 889 1,262

7.5 152.5 849 1,206

8.0 162.7 815 1,157

8.5 172.9 757 1,075

9.0 183.1 708 1,005

9.5 193.2 665 944


A = 1.42 in.2 r = 0.59 in. b/t = 12

L3 x 3 x 1/4 ANGLE COLUMN

COLU

MN

S5



A = 2.09 in.2 r = 0.59 in. b/t = 8




0.5 10.2 4,862 10,162

1.0 20.3 4,862 10,162

1.5 30.5 2,933 6,130

2.0 40.7 2,277 4,759

2.5 50.8 1,968 4,113

3.0 61.0 1,736 3,628

3.5 71.2 1,538 3,214

4.0 81.4 1,391 2,907

4.5 91.5 1,249 2,610

5.0 101.7 1,146 2,395

5.5 111.9 1,070 2,236

6.0 122.0 1,010 2,111

6.5 132.2 952 1,990

7.0 142.4 889 1,858

7.5 152.5 849 1,774

8.0 162.7 815 1,703

8.5 172.9 757 1,582

9.0 183.1 708 1,480

9.5 193.2 665 1,390

COLU

MN

S

5



A = 2.70 in.2 r = 0.59 in. b/t = 6




0.5 10.2 4,862 13,127

1.0 20.3 4,862 13,127

1.5 30.5 2,933 7,919

2.0 40.7 2,277 6,148

2.5 50.8 1,968 5,314

3.0 61.0 1,736 4,687

3.5 71.2 1,538 4,153

4.0 81.4 1,249 3,372

4.5 91.5 1,249 3,372

5.0 101.7 1,146 3,094

5.5 111.9 1,070 2,889

6.0 122.0 1,010 2,727

6.5 132.2 952 2,570

7.0 142.4 889 2,400

7.5 152.5 849 2,292

8.0 162.7 815 2,201

8.5 172.9 757 2,044

9.0 183.1 708 1,912

9.5 193.2 665 1,796

COLU

MN

S5



A = 1.92 in.2 r = 0.8 in. b/t = 8




0.5 7.5 2,758 5,295

1.0 15.0 2,758 5,295

1.5 22.5 2,758 5,295

2.0 30.0 2,758 5,295

2.5 37.5 2,393 4,595

3.0 45.0 2,133 4,095

3.5 52.5 1,914 3,675

4.0 60.0 1,760 3,379

4.5 67.5 1,603 3,078

5.0 75.0 1,482 2,845

5.5 82.5 1,379 2,648

6.0 90.0 1,283 2,463

6.5 97.5 1,187 2,279

7.0 105.0 1,123 2,156

7.5 112.5 1,064 2,043

8.0 120.0 1,020 1,958

8.5 127.5 980 1,882

9.0 135.0 933 1,791

9.5 142.5 889 1,707

10.0 150.0 860 1,651

10.5 157.5 834 1,601

11.0 165.0 802 1,540

11.5 172.5 759 1,457

12.0 180.0 727 1,396

12.5 187.5 693 1,331

13.0 195.0 660 1,267

COLU

MN

S

5



A = 2.84 in.2 r = 0.79 in. b/t = 10.7




0.5 7.6 4,194 11,911

1.0 15.2 4,194 11,911

1.5 22.8 4,194 11,911

2.0 30.4 2,947 8,369

2.5 38.0 2,367 6,722

3.0 45.6 2,113 6,001

3.5 53.2 1,896 5,385

4.0 60.8 1,741 4,944

4.5 68.4 1,586 4,504

5.0 75.9 1,461 4,149

5.5 83.5 1,364 3,874

6.0 91.1 1,260 3,578

6.5 98.7 1,177 3,343

7.0 106.3 1,113 3,161

7.5 113.9 1,048 2,976

8.0 121.5 1,012 2,874

8.5 129.1 969 2,752

9.0 136.7 922 2,618

9.5 144.3 878 2,494

10.0 151.9 853 2,423

10.5 159.5 828 2,352

11.0 167.1 791 2,246

11.5 174.7 745 2,116

12.0 182.3 712 2,022

12.5 189.9 680 1,931

13.0 197.5 652 1,852

COLU

MN

S5



A = 3.70 in.2 r = 0.78 in. b/t = 8




0.5 7.7 4,862 17,989

1.0 15.4 4,862 17,989

1.5 23.1 4,862 17,989

2.0 30.8 2,904 10,745

2.5 38.5 2,350 8,695

3.0 46.2 2,098 7,763

3.5 53.8 1,884 6,971

4.0 61.5 1,724 6,379

4.5 69.2 1,570 5,809

5.0 76.9 1,446 5,350

5.5 84.6 1,350 4,995

6.0 92.3 1,234 4,566

6.5 100.0 1,167 4,318

7.0 107.7 1,095 4,052

7.5 115.4 1,036 3,833

8.0 123.1 1,005 3,719

8.5 130.8 959 3,548

9.0 138.5 912 3,374

9.5 146.2 872 3,226

10.0 153.8 847 3,134

10.5 161.5 821 3,038

11.0 169.2 777 2,875

11.5 176.9 735 2,720

12.0 184.6 704 2,605

12.5 192.3 680 2,516

COLU

MN

S

5



A = 4.33 in.2 r = 1.14 in. b/t = 16




0.5 5.3 2,758 11,942

1.0 10.5 2,758 11,942

1.5 15.8 2,758 11,942

2.0 21.1 2,758 11,942

2.5 26.3 2,758 11,942

3.0 31.6 2,758 11,942

3.5 36.8 2,427 10,509

4.0 42.1 2,229 9,652

4.5 47.4 2,060 8,920

5.0 52.6 1,911 8,275

5.5 57.9 1,802 7,803

6.0 63.2 1,684 7,292

6.5 68.4 1,585 6,863

7.0 73.7 1,503 6,508

7.5 78.9 1,416 6,131

8.0 84.2 1,354 5,863

8.5 89.5 1,289 5,581

9.0 94.7 1,211 5,244

9.5 100.0 1,167 5,053



10.0 105.3 1,121 4,854

10.5 110.5 1,079 4,672

11.0 115.8 1,041 4,508

11.5 121.1 1,015 4,395

12.0 126.3 988 4,278

12.5 131.6 955 4,135

13.0 136.8 922 3,992

13.5 142.1 892 3,862

14.0 147.4 872 3,776

14.5 152.6 851 3,685

15.0 157.9 833 3,607

15.5 163.2 813 3,520

16.0 168.4 782 3,386

16.5 173.7 752 3,256

17.0 178.9 729 3,157

17.5 184.2 706 3,057

18.0 189.5 680 2,944

18.5 194.7 660 2,858

COLU

MN

S5



A = 5.70 in.2 r = 1.19 in. b/t = 12




0.5 5.0 3,620 20,634

1.0 10.1 3,620 20,634

1.5 15.1 3,620 20,634

2.0 20.2 3,620 20,634

2.5 25.2 3,620 20,634

3.0 30.3 2,960 16,872

3.5 35.3 2,512 14,318

4.0 40.3 2,290 13,053

4.5 45.4 2,120 12,084

5.0 50.4 1,984 11,309

5.5 55.5 1,844 10,511

6.0 60.5 1,748 9,964

6.5 65.5 1,642 9,359

7.0 70.6 1,548 8,824

7.5 75.6 1,469 8,373

8.0 80.7 1,397 7,963

8.5 85.7 1,337 7,621

9.0 90.8 1,267 7,222

9.5 95.8 1,202 6,851

10.0 100.8 1,157 6,595



10.5 105.9 1,117 6,367

11.0 110.9 1,076 6,133

11.5 116.0 1,033 5,888

12.0 121.0 1,015 5,786

12.5 126.1 989 5,637

13.0 131.1 958 5,461

13.5 136.1 927 5,284

14.0 141.2 896 5,107

14.5 146.2 873 4,976

15.0 151.3 855 4,874

15.5 156.3 839 4,782

16.0 161.3 822 4,685

16.5 166.4 794 4,526

17.0 171.4 765 4,361

17.5 176.5 737 4,201

18.0 181.5 717 4,087

18.5 186.6 699 3,984

19.0 191.6 672 3,830

19.5 196.6 655 3,734

COLU

MN

S

5



A = 2.13 in.2 r = 0.73 in. b/t = 12

W3 x 3 x 1/4 W SHAPE COLUMN



0.5 8.2 10,000 21,300

1.0 16.4 10,000 21,300

1.5 24.7 10,000 21,300

2.0 32.9 10,000 21,300

2.5 41.1 7,271 15,487

3.0 49.3 5,915 12,599

3.5 57.5 5,046 10,748

4.0 65.8 4,318 9,197

4.5 74.0 3,667 7,811

5.0 82.2 3,105 6,614

5.4 88.8 2,647 5,638

6.0 98.6 2,208 4,703

6.5 106.8 1,907 4,062

7.0 115.1 1,597 3,402

7.5 123.3 1,412 3,008

8.0 131.5 1,274 2,714

8.5 139.7 1,145 2,439

9.0 147.9 1,048 2,232

9.5 156.2 965 2,055

10.0 164.4 883 1,881

10.5 172.6 803 1,710

11.0 180.8 719 1,531

11.5 189.0 633 1,348

12.0 197.3 547 1,165

COLU

MN

S5



A = 2.89 in.2 r = 0.96 in. b/t = 16

W4 x 4 x 1/4 W SHAPE COLUMN



0.5 6.3 7,208 20,831

1.0 12.5 7,208 20,831

1.5 18.8 7,208 20,831

2.0 25.0 7,208 20,831

2.5 31.3 7,208 20,831

3.0 37.5 7,208 20,831

3.5 43.8 6,697 19,354

4.0 50.0 5,838 16,872

4.5 56.3 5,155 14,898

5.0 62.5 4,621 13,355

5.5 68.8 4,050 11,705

6.0 75.0 3,583 10,355

6.5 81.3 3,163 9,141

7.0 87.5 2,792 8,069

7.5 93.8 2,462 7,115

8.0 100.0 2,150 6,214

8.5 106.3 1,923 5,557

9.0 112.5 1,683 4,864

9.5 118.8 1,503 4,344

10.0 125.0 1,383 3,997

10.5 131.3 1,278 3,693

11.0 137.5 1,174 3,393

11.5 143

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