Question

Problem 3) A metal is yielding plastically under the stress state shown in the accompanying figure. 50 MPa 20 MPa 40 MPa (a) Label the principal axes according to their proper numerical convention (1, 2, 3). (b) What is the yield stress using the Tresca criterion (the maximum shear-stress criterion)? (c) What if the von Mises criterion (the distortion energy) is used? (5 points)

          Problem 3) A metal is yielding plastically under the stress state shown in the accompanying figure.
50 MPa
20 MPa
40 MPa
(a) Label the principal axes according to their proper numerical convention (1, 2, 3).
(b) What is the yield stress using the Tresca criterion (the maximum shear-stress criterion)?
(c) What if the von Mises criterion (the distortion energy) is used?
(5 points)

Problem 3) A metal is yielding plastically under the stress state shown in the accompanying figure.
50 MPa
20 MPa
40 MPa
(a) Label the principal axes according to their proper numerical convention (1, 2, 3).
(b) What is the yield stress using the Tresca criterion (the maximum shear-stress criterion)?
(c) What if the von Mises criterion (the distortion energy) is used?
(5 points)

Added by Michelle S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

10/04/2023

Step 1

Given the stress state, we have three principal stresses: 20 MPa, 40 MPa, and 50 MPa. According to the convention, we label the principal stresses in descending order of magnitude. Therefore, σ1 = 50 MPa, σ2 = 40 MPa, and σ3 = 20 MPa. Show more…

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Problem 3) A metal is yielding plastically under the stress state shown in the accompanying figure. 20 MPa (a) Label the principal axes according to their proper numerical convention (1, 2, 3). (b) What is the yield stress using the Tresca criterion (the maximum shear-stress criterion)? (c) What if the von Mises criterion (the distortion energy) is used? 40 MPa 50 MPa (5 points)