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Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
Publisher: Cengage Learning
ISBN: 9781337094740
Chapter 5, Problem 5.15.3P
Textbook Problem
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The beam shown in Figure P5.15-3 is a W21×68 of A992 steel and has lateral support only at the ends. Check ii for compliance with the AISC Specification. Manual Table 6-2 may be used.

a. Use LRFD.

b. Use ASD.

Chapter 5, Problem 5.15.3P, The beam shown in Figure P5.15-3 is a W2168 of A992 steel and has lateral support only at the ends.

12ft

To determine

(a)

Whether the beam satisfies the AISC specification.

Explanation of Solution

Given:

Span length =

Live load = 4k/ft

W21×68

Calculation:

Calculate the nominal flexural strength for x-axis bending.

The following data for a W14×109 are obtained from the Zxtable. The shape is compact.

Lp=6.36ftLr=18.7ft

The unbraced length Lb=12ft, so Lpbrand the controlling limit state is inelastic lateral-torsional buckling.

ϕbMnx=600ftkips from AISC manual

For the y-axis, since the shape is compact, there is no flange local buckling.

Mny=Mpy=FyZy=50(24.4)=1220inkips=101.7ftkips

Check the upper limit:

ZySy=24.415.7=1.55<1.6

Therefore, Mny=Mpy=101.7ftkips

For x-axis bending,

wu=1

To determine

(b)

Whether the beam satisfies the AISC specification.

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Chapter 5 Solutions

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