A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside diameter 82mm. The tube is 2.75m long and the aluminium has shear modulus G=28GPa. If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist (in degrees) when the maximum shear stress is 48 MPa. What diameter d is required for a solid shaft to resist the same torque with the same maximum stress. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?
A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside diameter 82mm. The tube is 2.75m long and the aluminium has shear modulus G=28GPa. If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist (in degrees) when the maximum shear stress is 48 MPa. What diameter d is required for a solid shaft to resist the same torque with the same maximum stress. What is the ratio of the weight of the hollow tube to the weight of the solid shaft?
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 3.3.15P: A hollow steel shaft used in a construction auger has an outer diameter d2= 6.0 in. and inner...
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A hollow aluminium tube used in a roof structure has an outside diameter 104mm and an inside diameter 82mm. The tube is 2.75m long and the aluminium has shear modulus G=28GPa.
If the tube is twisted in pure torsion by torques acting at the ends, what is the angle of twist (in degrees) when the maximum shear stress is 48 MPa.
What diameter d is required for a solid shaft to resist the same torque with the same maximum stress.
What is the ratio of the weight of the hollow tube to the weight of the solid shaft?
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