3. A tubular aluminium bar (G = 30 GPa) of square cross-section as shown below, with outer dimensions 50 mm by 50 mm, is subjected to a torque of T = 400 N m. Calculate the minimum required wall thickness t if the allowable shear stress is 20MPa and the allowable angle of twist is 0.025 rad m-1.

3. A tubular aluminium bar (G = 30 GPa) of square cross-section as shown below, with outer dimensions 50 mm by 50 mm, is subjected to a torque of T = 400 N m. Calculate the minimum required wall thickness t if the allowable shear stress is 20MPa and the allowable angle of twist is 0.025 rad m-1.

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 3.11.11P: A tubular aluminum bar (G = 4 × 106 psi) of square cross section (see figure) with outer dimensions...

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

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Can you provide a detailed solution to this, showing all steps. Thanks

3. A tubular aluminium bar (G = 30 GPa) of square cross-section as
shown below, with outer dimensions 50 mm by 50 mm, is subjected to
a torque of T = 400 N m. Calculate the minimum required wall
thickness t if the allowable shear stress is 20MPa and the allowable
angle of twist is 0.025 rad m-1.
50 mm
50 mm

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