A circular shaft has a diameter D = 40 mm and a length L = 1.5 m and is made of structural steel with elastic perfectly plastic behavior (G = 95.98 GPa and τy = 180 MPa). The shaft fixed at one end and subjected to a torque T at the other end. The angle of twist is measured between the ends as op = 0.2 rad. a) Calculate the yield shear strain yy. b) Calculate the maximum shear strain ymax. c) Determine the radius py to the elastic- plastic boundary. d) Determine the torque T. If the member has yielded and then unloaded. e) Determine the residual shear stress at p=5 mm.

A circular shaft has a diameter D = 40 mm and a length L = 1.5 m and is made of structural steel with elastic perfectly plastic behavior (G = 95.98 GPa and τy = 180 MPa). The shaft fixed at one end and subjected to a torque T at the other end. The angle of twist is measured between the ends as op = 0.2 rad. a) Calculate the yield shear strain yy. b) Calculate the maximum shear strain ymax. c) Determine the radius py to the elastic- plastic boundary. d) Determine the torque T. If the member has yielded and then unloaded. e) Determine the residual shear stress at p=5 mm.

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 3.2.5P: Solve the preceding problem if the length L = 56 in., the inner radius r1— 1.25 in., the angle of...

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