MACHINE DESIGN1 4. Two steel thin-wall tubes in torsion of equal length are to be compared. The first is of squarecross section, side length b, and wall thickness t. The second is a round of diameter b and wallthickness t. The largest allowable shear stress is tall and is to be the same in both cases. Howdoes the angle of twist per unit length compare in each case?

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cross section, side length b, and wall thickness t. The second is a round of diameter b and wa thickness t. The largest allowable shear stress is tall and is to be the same in both cases. How

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 3.11.9P: A torque T is applied to a thin-walled tube having a cross section in the shape of a regular hexagon...

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

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MACHINE DESIGN1

4. Two steel thin-wall tubes in torsion of equal length are to be compared. The first is of square
cross section, side length b, and wall thickness t. The second is a round of diameter b and wall
thickness t. The largest allowable shear stress is tall and is to be the same in both cases. How
does the angle of twist per unit length compare in each case?

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