According to maximum shear stress failure criterion, yielding in material occurs
when
maximum shear stress =
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 simple uniaxial tension test.
Derivation:
In a simple tensile test, when the material reaches yield stress (σy), the specimen is under uniaxial stress:
The maximum shear stress in this uniaxial conditions is
:
Result:
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