For a square cross-section bar affected by torsional moment at both ends, the stress components are shown as follows (opposite the figure): a) Find the principal directions for the zero principal stress? b) For the following special case, show that the stress vector on the lateral surface of the rod is zero: 4 = (xỉ - a²xx – a²) c) Also the torsional moment at each of the two ends of the rod is equal to: M = 32 V = f(x1,X2) 013 ax2 023 ax = 033 = 012 = 0 %3D 011 = 022 X2

For a square cross-section bar affected by torsional moment at both ends, the stress components are shown as follows (opposite the figure): a) Find the principal directions for the zero principal stress? b) For the following special case, show that the stress vector on the lateral surface of the rod is zero: 4 = (xỉ - a²xx – a²) c) Also the torsional moment at each of the two ends of the rod is equal to: M = 32 V = f(x1,X2) 013 ax2 023 ax = 033 = 012 = 0 %3D 011 = 022 X2

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter7: Analysis Of Stress And Strain

Section: Chapter Questions

Problem 7.4.21P: -18 through 7.4-25 An clement in plane stress is subjected to stresses a,, ay., and axy. (see...

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