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470_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

470_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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464 CHAPTER 5 Stresses in Beams (Basic Topics) Solution 5.10-11 Square box beam M INIMUM SHEAR STRESS IN THE WEB ( AT LEVEL A.A ) ; 1.03 ksi t min VQ It (28,000 lb)(66.0 in. 3 ) (894.67 in 4 )(2.0 in.) 1033 psi Q (12 in.) 8 [(12 in.) 2 (10 in.) 2 ] 66.0 in. 3 t 1 b b 1 2 Q b 8 ( b 2 b 1 2 ) Q Ay ( bt 1 ) a b 2 t 1 2 b a bt 1 2 b ( b t 1 ) ; 1.42 ksi t max VQ It (28,000 lb)(91.0 in. 3 ) (894.67 in. 4 )(2.0 in.) 1424 psi 1 8 ( b 3 b 1 3 ) 91.0 in. 3 Q a b 2 2 b a b 4 b a b 1 2 2 b a b 1 4 b . . . . M OMENT OF INERTIA M AXIMUM SHEAR STRESS IN THE WEB ( AT NEUTRAL AXIS ) y 1 1 2 a b 2 b b 4 y 2 1 2 a b 1 2 b b 1 4 A 2 b 1 a b 1 2 b b 1 2 2 Q A 1 y 1 A 2 y 2 A 1 b a b 2 b b 2 2 I 1 12 ( b 4 b 1 4 ) 894.67 in. 4 t VQ It t 2 t 1 2.0 in b 1 10 in b 12 in t 1 1.0 in V 28 k 28,000 lb Problem 5.10-12 The T-beam shown in the figure has cross-sectional dimensions as follows: , and . The beam
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