12-10. A metal bar is being compressed along the x,-axis between two rigid walls such that e3 = 0 and σ2, = 0. This process causes an axial stress σ1 and no shearstresses. Determine the apparent yield value of σ1, if the material in a conventional compression test exhibits a yield strength σyp and Poisson's ratio v. Assume that the material is governed by the von Mises yield condition. Find an alternative expression if the Tresca condition is postulated. 12-10. A metal bar is being compressed along the x-axis between two rigid wallssuch that e, = 0 and o, = 0. This process causes an axial stress o, and no shearstresses. Determine the apparent yield value of o, if the material in a conventionalcompression test exhibits a yield strength a, and Poisson's ratio v. Assume that thematerial is governed by the von Mises yield condition. Find an alternative expres-sion if the Tresca condition is postulated.

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Answered: 12-10. A metal bar is being compressed…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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12-10. A metal bar is being compressed along the x,-axis between two rigid walls such that e₃ = 0 and σ₂, = 0. This process causes an axial stress σ₁ and no shear
stresses. Determine the apparent yield value of σ₁, if the material in a conventional compression test exhibits a yield strength σ_yp and Poisson's ratio v. Assume that the material is governed by the von Mises yield condition. Find an alternative expression if the Tresca condition is postulated.

12-10. A metal bar is being compressed along the x-axis between two rigid walls
such that e, = 0 and o, = 0. This process causes an axial stress o, and no shear
stresses. Determine the apparent yield value of o, if the material in a conventional
compression test exhibits a yield strength a, and Poisson's ratio v. Assume that the
material is governed by the von Mises yield condition. Find an alternative expres-
sion if the Tresca condition is postulated.

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