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338_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 338_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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332 CHAPTER 3 Torsion Problem 3.10-8 A torque T is applied to a thin-walled tube having a cross section in the shape of a regular hexagon with constant wall thickness t and side length b (see figure). Obtain formulas for the shear stress and the rate of twist . Solution 3.10-7 Elliptical tube T 18 k-in. G 12 10 6 psi t constant t 0.2 in a 3.0 in. b 2.0 in. F ROM APPENDIX D, CASE 16: S HEAR STRESS A NGLE OF TWIST PER UNIT LENGTH ( RATE OF TWIST ) ; u 83.73 * 10 6 rad/in. 0.0048°/in. u f L T GJ 18 k-in. (12 * 10 6 psi)(17.92 in.) 4 ; 2390 psi

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