   # Compute the nominal axial compressive strength of the member shown in Figure P4.3-2. Use AISC Equation E3-2 0r E3-3. ### Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
Publisher: Cengage Learning
ISBN: 9781337094740

#### Solutions

Chapter
Section ### Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
Publisher: Cengage Learning
ISBN: 9781337094740
Chapter 4, Problem 4.3.2P
Textbook Problem
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## Compute the nominal axial compressive strength of the member shown in Figure P4.3-2. Use AISC Equation E3-2 0r E3-3. To determine

The nominal compressive strength of column

### Explanation of Solution

Calculate the effective slenderness ratio by using the formula as follows

Slenderness ratio=KLr

Consider the properties of steel from the AISC steel table.

Substitute 1 for k, 1(25×12)in for L, and 5 for ry

Slenderness ratio=KLr                           =1(25×12)5                           =60<200(OK)

Calculate the buckling stress by using the formula as follows:

Fe=π2E(KL/r)2Substitute 29000 for E, and 60 for KL/rFe=π2E(KL/r)2    =π2(29000)602    =79.50ksi

Check for slenderness ratio by using the relation as follows:

Slenderness ratio=4.71EFyFy is the yield strength

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