Example E.7 WT compression member without slender elements

The results are generated with SDC Verifier 3.6 and calculated with FEMAP v11.0.0


Select an ASTM A992 nonslender WT-shape compression member with a length of 20 ft to support a dead load of 60 kips and live load of 60 kips in axial compression. The ends are pinned.


From AISC Manual Table 2-4, the material properties are as follows:


Fy = 50 ksi

Fu = 65 ksi

From Chapter 2 of ASCE/SEI 7, the required compressive strength is:

D2 1

Table Solution

From AISC Specification Commentary Figure C-A-7.1, for a pinned-pinned condition, k = 1.0.

Therefore, (KL)x = (KL)y = 20.0 ft.

Select The lightest nonslender member from AISC Manual Table 4-7 with sufficient available strength about both the x-xaxis (upper portion of the table) and the y-y axis (lower portion of the table) to support the required strength.

Try a WT7×34.

The available strength in compression is:

E4 1

The available strength can be easily determined by using the tables of the AISC Manual. Available strength values can be verified by hand calculations, as follows

Calculation Solution

From AISC Manual Table 1-8, the geometric properties are as follows:


Ag = 10.0 in2.

rx = 1.81 in.

ry = 2.46 in.

J = 1.50 in4.

γ = 1.29 in.

x = 32.6 in4.

y = 60.7 in4.

d = 7.02 in.

tw = 0.415 in.

bf = 10.0 in.

tf = 0.720 in.

Stem Slenderness Check

E7 stem

Determine the stem limiting slenderness ratio, Λr, from AISC Specification Table B4.1a Case 4.

E7 stem ratio

Λ < Λr therefore, the stem is not slender

Flange Slenderness Check

E7 flange

Determine thr flange limiting slenderness ratio, Λr, from AISC Specification Table B4.1a Case 1.

E7 flange ratio

Λ < Λr therefore, the flange is not slender

There are no slender elements.

For compression members without slender elements, AISC Specification Sections E3 and E4 apply. Then nominal compressive strength, Pn shall be determined based on the limit states of flexural, torsional and flexural-torsional buckling.

Flexural Bucking about the x-x axis

Torsional and Flexural-Torsional Buckling

Because the WT7×34 section does not have any slender elements, AISC Specification Section E4 will be applicable for torsional and flexural-torsional buckling. Fcr will be calculated using AISC Specification Equation E4-2.

Calculate Fcry.

Fcry is taken as Fcr from AISC Specification Section E3, where KL/r = KL/ry.

E7 Fcry

The shear center for a T-shaped section is located on the axis of symmetry at the mid-depth of the flange.

E7 T shape

x-x axis flexural buckling governs, therefore,

E7 T

From AISC Specification Section E1, the available compressive strength is:

E7 lrfd

Example from AISC Design Examples

Material summaryE7 material

E7 plot

Properties Summary


Geometry Property Value
Height 7.02
Width 10.00
h 7.02
b 10.00
d 0.42
t 0.72

FEM Loads and Constraint

1..Dead load 20 kips

E7 deadload

2..Live load 60 kips

E7 liveload


1.. Pinned

E7 constraint

E7 plot1

Check 1..ANSI / AISC LRFD 360-10

Beam Characteristics

All (LS1, All Entities)

E7 beam

Axial check

All (LS1, All Entities)

From AISC Specification Section E1, the available compressive strength is:

E7 kltable marked

Comparing results of calculation in SDC Verifier and in Example E.7 we can see that values completely match. The available compressive strength is 128 kips.

Download SDC Verifier project file, model and report of  Example E.7

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