Mechanical Engineering > GATE 2016 SET-1 > Theories of Failure
The principal stresses at a point inside a solid object are σ1=100 MPa, σ2=100 MPa and σ3=0 MPa. The yield strength of the material is 200 MPa. The factor of safety calculated using Tresca (maximum shear stress) theory is nT and the factor of safety calculated using von Mises (maximum distortional energy) theory is nv. Which one of the following relations is TRUE?
A
nT = (√3/2)nV
B
nT = (√3)nV
C
nT = nV
D
nV = (√3)nT

Correct : c

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