The GATE Grind

GATE 2024 PI – Question 39

Manufacturing Processes I · Metal Forming · 2 marks · Multiple choice

Plastic deformation begins in plane stress at principal stresses 200 and 100 MPa. Under von Mises yielding, find uniaxial tensile yield strength (one decimal MPa).

  1. 173.2
  2. 200.0
  3. 100.0
  4. 223.6

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) 173.2

Explanation

Plane stress sets the third principal stress to zero. The equivalent stress is $\sqrt{\sigma_1^2+\sigma_2^2-\sigma_1\sigma_2}=\sqrt{200^2+100^2-200(100)}=173.205$ MPa. At yield this equals the uniaxial yield strength. **173.2 MPa, A**.

More Metal Forming questions

All Metal Forming questions →