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Question
According to maximum shear stress failure criterion, yielding in material occurs when 
A.
B.
C.
D.
maximum shear stress = 2 × yield stress
Answer ( Option A)

Solution

The Maximum Shear Stress theory (also called Tresca's criterion or Guest's theory) states that yielding in a material begins when the maximum shear stress in the complex stress system equals the maximum shear stress at yielding in a simple uniaxial tension test.
Derivation:
In a simple tensile test, when the material reaches yield stress (σy), the specimen is under uniaxial stress:
σ1 = σy , σ2 = 0 , σ3 = 0
The maximum shear stress in this uniaxial conditions is:

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