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263_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

263_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.3 Circular Bars and Tubes 257 Solution 3.3-7 N UMERICAL DATA L 24 in. r 2 r 1 radians T 6200 lb-in. M AX . SHEAR STRESS I p 0.681 in. 4 max 7965 psi ; t max Tr 2 I p I p p 2 1 r 2 4 r 1 4 2 t max T r 2 I p f 4 a p 180 b 1.25 2 in. 1.75 2 in. M AX . SHEAR STRAIN max 0.00255 radians SHEAR MODULUS OF ELASTICITY G G 3.129 10 6 psi or G 3.13 10 6 psi ; G T L f I p G t max g max ; g max r 2 L f Problem 3.3-8 A propeller shaft for a small yacht is made of a solid steel bar 104 mm in diameter. The allowable stress in shear is 48 MPa, and the allowable rate of twist is 2.0° in 3.5 meters. Assuming that the shear modulus of elasticity is
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