Project ForgeMachine Design
Design Against Static Load
GATE 2017
Hard
In a metal forming operation when the material has just started yielding, the principal stresses are σ₁ = +180 MPa, σ₂ = -100 MPa, σ₃ = 0. Following von Mises' criterion, the yield stress is __________ MPa.
245.5 MPa(± 0.5 accepted)
Explanation
σᵥ = √{0.5[(σ₁-σ₂)²+(σ₂-σ₃)²+(σ₃-σ₁)²]} = √{0.5[(280)²+(-100)²+(-180)²]} = √{0.5[78400+10000+32400]} = √60400 ≈ 245.8 MPa.
Source: GATE ME 2017 Session 1 (ME-1) (2017)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.