| Practice Problem 9-1 |
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Given: During mechanical testing it is foud that a certain steel shaft fails when under a stress state of sx = 200 MPa, sy = -50 MPa, and txy = 100 MPa. (Assume Plane Stress). Req'd: Based on the maximum shear stress theory (Tresca) what is the yield stress of the steel [MPa]? |
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Solution: Based on the Tresca Theory, failure occurs when the maximum shear stress equals one half the yield stress. Based on data from the test the maximum and minimum principal stresses are: sI = 235 MPa and sII = -85 MPa The shear yield stress is then: ty = (235 MPa - (-85 MPa))/2 = 160 MPa Therefore, the yield stress of the material is: sy = 2 ty = 320 MPa |
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