The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the
The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the
Refrigeration and Air Conditioning Technology (MindTap Course List)
8th Edition
ISBN:9781305578296
Author:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Publisher:John Tomczyk, Eugene Silberstein, Bill Whitman, Bill Johnson
Chapter29: Troubleshooting And Typical Operating Conditions For Commercial refrigeration
Section: Chapter Questions
Problem 16RQ
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The stresses shown act at a point on the free surface of a stressed body. Normal and shear stress magnitudes acting on horizontal and vertical planes at the point are Sx = 80 MPa, Sy = 40 MPa, and Sxy = 75 MPa. Assume β=51∘. Determine the normal stresses σn and σt and the shear stress τnt at this point if they act on the rotated stress element shown.
Expert Solution
Step 1
Given that,
The rotated stress element has been shown above,
Writing the formula for stress when the stress element is rotated through an angle of theta,
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