The principle that failure occurs due to maximum shear stress.

The principle that failure occurs due to volume change.

The principle that failure occurs due to maximum normal stress.

The principle that failure occurs due to angular distortion without volume change.

Maximum Shear Stress Theory (Tresca)

Maximum Normal Stress Theory (Rankine)

Coulomb-Mohr Theory

Mohr’s Failure Criterion

The material undergoes plastic deformation.

The maximum normal stress exceeds the material’s yield strength.

The distortion energy exceeds a critical value.

The maximum shear stress exceeds the material’s shear strength.

Mohr’s theory is the most accurate for ductile materials.

Von Mises’ theory is more conservative than Tresca’s theory.

Rankine’s theory is more accurate for ductile materials than Tresca’s theory.

Tresca’s theory is more conservative than Von Mises’ theory.

The maximum shear stress reaches the shear strength under uniaxial tension.

The material undergoes volume change.

The maximum normal stress reaches the yield strength.

The distortion energy exceeds the material’s limit.

45° to the applied force.

30° to the applied force.

0° to the applied force.

90° to the applied force.