A cylindrical tube of constant wall thickness t and inside radius r % 10t carries a torque T. Find the expression for the maximum shear stress in the tube using (a) the torsion formula for a hollow shaft in Eq. (3.5d); and (b) the thin-walled tube formula in Eq. (3.8b). What is the percentage error in the thin-walled tube approximation? 2т 16T Tax Solid shaft: (3.5c) nd 2TR Hollow shaft: Fmax = z(R* – r*} a(D* – dª} 16TD (3.5d) T q = (3.8b) 240

A cylindrical tube of constant wall thickness t and inside radius r % 10t carries a torque T. Find the expression for the maximum shear stress in the tube using (a) the torsion formula for a hollow shaft in Eq. (3.5d); and (b) the thin-walled tube formula in Eq. (3.8b). What is the percentage error in the thin-walled tube approximation? 2т 16T Tax Solid shaft: (3.5c) nd 2TR Hollow shaft: Fmax = z(R* – r} a(D – dª} 16TD (3.5d) T q = (3.8b) 240

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 3.11.1P: A hollow circular tube having an inside diameter of 10.0 in, and a wall thickness of 1.0 in. (see...

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