Question

According to Tresca's maximum shear stress criterion, plastic deformation occurs when maximum shear stress is equal to K, where K is equal to:(where σ₁, σ₂, σ₃ are principal stresses and also σ₁ ≥ σ₂ ≥ σ₃)

• A. (σ₁+σ₃)/2
• B. (σ₁-σ₃)/2
• C. (σ₁+σ₂)/2
• D. (σ₁-σ₂)/2

Answer 1

Answer:

B. (σ₁-σ₃)/2

Tresca's maximum shear stress criterion states that plastic deformation occurs when maximum shear stress is equal to $( \sigma_{1} - \sigma_{3} )/2$ where $\sigma_{1}$ and $\sigma_{3}$ are maximum and minimum principal stress. This theory is well justified for ductile materials.