9. A torsion tube is made from aluminium tube having an outside diameter of 60mm and a wall thickness of 5mm. Young's modulus for titanium is 70GPA; Poission's ratio is 0.33. Determine: (a) the maximum Torque T (acting clockwise) that can be applied to the tube if the shear stress cannot exceed 100MPA. (b) sketch the shear stress and shear strain profile for the Torque calculated in (a) using a polar co-ordinate axis system, where the z axis runs along the length of the tube, and the perpendicular circumferential axis acts in a positive clockwise direction. [Ans: (a) 2200Nm, (b) 100MPA, 83.3MPA, 3779µɛ, 3140µɛ]

9. A torsion tube is made from aluminium tube having an outside diameter of 60mm and a wall thickness of 5mm. Young's modulus for titanium is 70GPA; Poission's ratio is 0.33. Determine: (a) the maximum Torque T (acting clockwise) that can be applied to the tube if the shear stress cannot exceed 100MPA. (b) sketch the shear stress and shear strain profile for the Torque calculated in (a) using a polar co-ordinate axis system, where the z axis runs along the length of the tube, and the perpendicular circumferential axis acts in a positive clockwise direction. [Ans: (a) 2200Nm, (b) 100MPA, 83.3MPA, 3779µɛ, 3140µɛ]

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.2.6P: A circular aluminum tube subjected to pure torsion by torques T(sec figure) has an outer radius...

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