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266_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

266_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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260 CHAPTER 3 Torsion Solution 3.3-11 Construction auger d 2 6.0 in. r 2 3.0 in. d 1 4.5 in. r 1 2.25 in. G 11 10 6 psi T 150 k-in. (a) S HEAR STRESS AT OUTER SURFACE (b) S HEAR STRESS AT INNER SURFACE ; t 1 Tr 1 I P r 1 r 2 t 2 3880 psi ; 5170 psi t 2 Tr 2 I P (150 k-in.)(3.0 in.) 86.98 in. 4 I P p 32 ( d 2 4 d 1 4 ) 86.98 in. 4 (c) R ATE OF TWIST (d) S HEAR STRESS DIAGRAM ; u 157 * 10 6 rad/in. 0.00898 ° /in. u T GI P (150 k-in.) (11 * 10 6 psi)(86.98 in.) 4 Problem 3.3-12 Solve the preceding problem if the shaft has outer diameter d 2 150 mm and inner diameter d 1 100 mm. Also, the steel has shear modulus of elasticity G 75 GPa and the applied torque is 16 kN
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