Problem_06_57 - Problem 6.57 The aluminum hollow thin-wall...

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Problem 6.57 The aluminum hollow thin-wall torsion member below has a length of 3 m. The member is subjected to a torque of 11.0 kN-m. Find: the maximum shear stress and angle of twist. Solution: G 27.1 GPa := T1 1 k N m := A 1 200 mm 120 mm 0.024m 2 = := A 2 120 mm 80 mm 2 0.005m 2 = := T2 A 1 q 1 2A 2 q 2 + = L 1 200 mm 2 120 mm + 0.52m = := L 2 80 mm 5 4 2 0.2m = := L 3 120 mm := θ 1 2G A 1 L 1 q 1 5mm L 3 q 1 q 2 () 4mm + = 1 A 2 L 2 q 2 L 3 q 2 q 1 + = 1 A1 L1 q1 L3 q1 q2 + 1 A2 L2 q2 L3 q2 q1 + = solve q1 , simplify q2 4.0 A1 L2 5.0 A1 L3 + 5.0 A2 L3 + 4.0 A2 L1 5.0 A1 L3 + 5.0 A2 L3 + 4.0 A 1 L 2 5.0 A 1 L 3 + 5.0 A 2 L 3 + 4.0 A 2 L 1 5.0 A 1 L 3 + 5.0 A 2 L 3 + 1.33803 = q 1 1.33803q
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This note was uploaded on 01/11/2011 for the course MAE 3040 taught by Professor Mechanicsofsolids during the Spring '10 term at Utah State University.

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