Q1/ The stress array for the torsion problem of a circular cross section bar of radius a and with longitu- nal axis coincident with the z axis of rectangular Cartesian axes (x, y, z) is T = 0 0 -Gyß 0 0 Gxß -Gyß Gxß 0 where G and are constants (a) Determine the principal stresses at a point x =y on the lateral surface of the bar. (b) Determine the principal stress axes for a point on the lateral surface of the bar. Ot

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 7.3.3P: An element in plane stress is subjected to stresses ??x= 5750 psi, sy = 1100 psi, and txy= 750 psi...
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Q1/
The stress array for the torsion problem of a circular cross section bar of radius a and with longitudi-
nal axis coincident with the z axis of rectangular Cartesian axes (x, y, z) is
T =
X
0
-Gyß
0
Gxß
-Gyß Gxß 0
0
where G and ß are constants
(a) Determine the principal stresses at a point x = y on the lateral surface of the bar.
(b) Determine the principal stress axes for a point on the lateral surface of the bar.
0¹.
40
Transcribed Image Text:Q1/ The stress array for the torsion problem of a circular cross section bar of radius a and with longitudi- nal axis coincident with the z axis of rectangular Cartesian axes (x, y, z) is T = X 0 -Gyß 0 Gxß -Gyß Gxß 0 0 where G and ß are constants (a) Determine the principal stresses at a point x = y on the lateral surface of the bar. (b) Determine the principal stress axes for a point on the lateral surface of the bar. 0¹. 40
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