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279_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 279_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 3.4 Nonuniform Torsion 273 Problem 3.4-9 A tapered bar AB of solid circular cross section is twisted by torques T 36,000 lb-in. (see figure). The diameter of the bar varies linearly from d A at the left-hand end to d B at the right-hand end. The bar has length L 4.0 ft and is made of an aluminum alloy having shear modulus of elasticity G 3.9 10 6 psi. The allowable shear stress in the bar is 15,000 psi and the allowable angle of twist is 3.0°. If the diameter at end B is 1.5 times the diameter at end A , what is the minimum required diameter d A at end A ? ( Hint : Use the results of Example 3–5). Solution 3.4-9 Tapered bar d B 1.5 d A T 36,000 lb-in. L 4.0 ft 48 in.

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