Question

CME HW question 5 5.) A material is subjected to stresses $\sigma_1$= 100 MPa, $\sigma_3$= -102 MPa and $\sigma_2$= 0. The yield strength of the material is 200 MPa. a) Determine if this element will yield using the Von Mises stress criteria b) Determine if this element will yield using the maximum shear stress criteria

          CME HW question 5
5.) A material is subjected to stresses $\sigma_1$= 100 MPa, $\sigma_3$= -102 MPa and $\sigma_2$= 0.
The yield strength of the material is 200 MPa.
a) Determine if this element will yield using the Von Mises stress criteria
b) Determine if this element will yield using the maximum shear stress criteria

CME HW question 5
5.) A material is subjected to stresses σ1= 100 MPa, σ3= -102 MPa and σ2= 0.
The yield strength of the material is 200 MPa.
a) Determine if this element will yield using the Von Mises stress criteria
b) Determine if this element will yield using the maximum shear stress criteria

Added by Laura M.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

Step 1

To determine if the element will yield using the Von Mises stress criteria, we need to calculate the Von Mises stress (σv) using the given stresses (σ₁, σ₂, σ₃). The Von Mises stress is given by the formula: σv = √((σ₁ - σ₂)² + (σ₂ - σ₃)² + (σ₃ - σ₁)² + 6(τ₁₂² + Show more…

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CME HW Question 5 5. A material is subjected to stresses Ïƒâ‚ = 100 MPa, Ïƒâ‚‚ = -102 MPa, and Ïƒâ‚ƒ = 0. The yield strength of the material is 200 MPa. a. Determine if this element will yield using the Von Mises stress criteria. b. Determine if this element will yield using the maximum shear stress criteria.