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545_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 545_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 6.5 Bending of Unsymmetric Beams 539 Problem 6.5-11 A steel post (E ± 30 ² 10 6 psi) having thickness t ± 1/8 in. and height L ± 72 in. supports a stop sign (see figure). The stop sign post is subjected to a bending moment M having its vector at an angle u to the z axis. Determine the orientation of the neutral axis and calculate the maximum tensile stress s t and maximum compressive stress s c in the beam. Assume that u ± 30° and M ± 5.0 k-in. Use the following numerical properties for the post: A ± 0.578 in 2 , c 1 ± 0.769 in., c 2 ± 0.731 in., I y ± 0.44867 in 4 , and I z ± 0.16101 in 4 . Solution 6.5-11 M ± 5k in u ±³ 30° Post: A ± 0.578 in. 2 c 1 ± 0.769 in. c 2 ± 0.731 in. I y ± 0.44867 in. 4 I z ± 0.16101 in. 4 B ENDING MOMENTS M
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