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 Ty=120 MPa). The shaft fixed at one endand subjected to a torque T at the other end. The angle of twist is measured between the ends as p = 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 membe) has yielded and then unloaded.e) Determine the residual shear stress at p=5 mm.0.001667 rad0.0016774 rad0.002 rad0.0015 rad0.00225 rad0.002667 rad 0.001333 rad0.004 rad0.002 rad0.002667 rad12.5026 mm12.5806 mm12.5026 mm8.3351 mm16.6701 mm15 mm11.25 mm16.875 mm2.5171 kN.m2.0426 kN.m0.17138 kN.m2.6323 KN.m2.2927 kN.m2.3981 kN.m 1.9212 kN.m2.563 kN.m106.6667 MPa86.6667 MPa53.33 MPa80 MPa120 MPa

LateXT = \frac{2}{3} \cdot 120 \cdot \pi \cdot (0.02)^3 = 2.53 \, \text{kN·m}

Answered: A circular shaft has a diameter D = 40…

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 3.2.4P: A circular steel tube of length L = 1.0 m is loaded in torsion by torques T (see figure). (a) If the...

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