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459_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 459_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 5.9 Shear Stresses in Circular Beams 453 Solution 5.9-1 (a) B ASED UPON BENDING STRESS s ± M S ± 32 M p d 3 M max ± qL 2 2 L 3 M max ± 2.88 * 10 3 1b- ft V max ± q L 2 V max ± 720 1b t allow ± 120 psi s allow ± 1900 psi q ± 20 1b in L ± 6 f t (b) B ASED UPON SHEAR STRESS Bending stress governs ; d min ± 5.70 in. d min ± A 16 V max 3 p t allow d min ± 3.192 in. t ± 4 V 3 A ± 16 V 3 p d 2 d min ± 5.701 in. d min ± 3 A 32 M max p s allow Shear Stresses in Circular Beams Problem 5.9-1 A wood pole of solid circular cross section ( diameter) is subjected to a horizontal force (see figure). The length of the pole is , and the allowable stresses in the wood are in bending and in shear. Determine the minimum required diameter of the pole based upon (a) the allowable bending stress, and (b) the allowable shear stress. 120 psi 1900 psi L ± 6 ft P ± 450 lb d ± L d d q 0 = 20 lb/in. Problem 5.9-2 A simple log bridge in a remote area consists of two parallel logs with planks across them (see figure). The logs
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