# 12_12 - 12.12 A 2.5-in.-diameter solid aluminum post is...

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12.12 A 2.5-in.-diameter solid aluminum post is subjected to a horizontal force of V = 6 kips, a vertical force of P = 15 kips, and a concentrated torque of T = 22 kip-in., acting in the directions shown in Fig. P12.12. Assume L = 4.5 in. Determine the normal and shear stresses at (a) point H and (b) point K . For each point, show these stresses on a stress element. Fig. P12.12 Solution Section properties: 22 44 3 34 4 (2.5 in.) 4.908739 in. (2.5 in.) 3.834952 in. 43 2 (2.5 in.) 1.302083 in. (2.5 in.) 1.917476 in. 12 64 xz AJ QI I π == = = = = = Equivalent forces at H and K : 6 kips 15 kips 0 kips 0 kip-in. 22 kip-in. (6 kips)(4.5 in.) 27 kip-in. xyz FFF MMM =− = === = Axial stress magnitude at H due to F y : 2 15.000 kips 3.056 ksi 4.908739 in. y σ Shear stress magnitude at H due to F x : 3 4 (6.000 kips)(1.302083 in. ) 1.630 ksi (1.917476 in. )(2.5 in.) xy τ Torsion shear stress magnitude at

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## This note was uploaded on 02/09/2012 for the course MECHANICAL EM217 taught by Professor Joyce during the Spring '11 term at Naval Academy.

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12_12 - 12.12 A 2.5-in.-diameter solid aluminum post is...

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