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322_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

322_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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316 CHAPTER 3 Torsion Problem 3.8-15 A uniformly tapered aluminum-alloy tube AB of circular cross section and length L is fixed against rota- tion at A and B , as shown in the figure. The outside diameters at the ends are d A and d B 2 d A . A hollow section of length L /2 and constant thickness t d A /10 is cast into the tube and extends from B halfway toward A . Torque T o is applied at L /2. (a) Find the reactive torques at the supports, T A and T B . Use numerical values as follows: d A 2.5 in., L 48 in., G 3.9 10 6 psi, T 0 40,000 in.-lb. (b) Repeat (a) if the hollow section has constant diameter d A . T A T A Fixed against rotation
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