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Pure Shear Problem 3.5-1 A hollow aluminum shaft (see figure) has outside diameter d 2 5 4.0 in. and inside diameter d 1 5 2.0 in. When twisted by torques T , the shaft has an angle of twist per unit distance equal to 0.54°/ft. The shear modulus of elasticity of the aluminum is G 5 4.0 3 10 6 psi. (a) Determine the maximum tensile stress s max in the shaft. (b) Determine the magnitude of the applied torques T . Solution 3.5-1 Hollow aluminum shaft SECTION 3.5 Pure Shear 209 L d 2 d 1 d 2 TT d 2 d 1 d 2 5 4.0 in. d 1 5 2.0 in. u 5 0.54 8 /ft G 5 4.0 3 10 6 psi M AXIMUM SHEAR STRESS t max 5 Gr u (from Eq. 3-7a) r 5 d 2 /2 5 2.0 in. t max 5 (4.0 3 10 6 psi)(2.0 in.)(785.40 3 10
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This note was uploaded on 09/20/2009 for the course COE 3001 taught by Professor Armanios during the Spring '08 term at Georgia Institute of Technology.

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