Each of the three rolled-steel beams shown (numbered 1, 2, and 3) is to carry a 64-kip load uniformly distributed over the beam. Each of these beams has a 12-ft span and is to be supported by the two 24-ft rolled-steel girders AC and BD. The allowable normal stress for the steel used is 22.5 ksi. Determine the section modulus for each girder and select the most economical W shape for the two girders using the table given below. (Round the final answer to one decimal place.)

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.9.30P
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Each of the three rolled-steel beams shown (numbered 1, 2, and 3) is to carry a 64-kip load uniformly distributed over the beam. Each of these beams has a 12-ft span and is to be supported by the two 24-ft rolled-steel girders AC and BD. The allowable normal stress for the steel used is 22.5 ksi.

Determine the section modulus for each girder and select the most economical W shape for the two girders using the table given below. (Round the final answer to one decimal place.)

 

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Required information
Each of the three rolled-steel beams shown (numbered 1, 2, and 3) is to carry a
64-kip load uniformly distributed over the beam. Each of these beams has a 12-
ft span and is to be supported by the two 24-ft rolled-steel girders AC and BD.
The allowable normal stress for the steel used is 22.5 ksi.
A
B
Shape
W30 × 99
W27 X 84
W24 x 104
W21 x 101
W18 x 106
Determine the section modulus for each girder and select the most economical W shape for the
two girders using the table given below. (Round the final answer to one decimal place.)
S'(in ³)
269
213
258
227
204
12 ft
The section modulus is
D
in³.
The most economical W shape is (Click to select)
Transcribed Image Text:! Required information Each of the three rolled-steel beams shown (numbered 1, 2, and 3) is to carry a 64-kip load uniformly distributed over the beam. Each of these beams has a 12- ft span and is to be supported by the two 24-ft rolled-steel girders AC and BD. The allowable normal stress for the steel used is 22.5 ksi. A B Shape W30 × 99 W27 X 84 W24 x 104 W21 x 101 W18 x 106 Determine the section modulus for each girder and select the most economical W shape for the two girders using the table given below. (Round the final answer to one decimal place.) S'(in ³) 269 213 258 227 204 12 ft The section modulus is D in³. The most economical W shape is (Click to select)
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