Theories of failure - Strength of Material

Theories of Failure and shapes - Strength Of Material

Maximum Principal Stress theory or Rankine theory

Maximum Principal stress theory or rankine theory

Maximum principal strain theory st. venant's theory

st. venant theory or max principal strain theory

maximum shear stress theory

maximum strain energy theory

maximum strain energy theory 

maximum shear strain energy theory 

In short 

For brittle material

Theories of failure	Shape
Maximum Principal Stress theory  (RANKINE’S THEORY)	Square
Maximum Principal Strain theory  (St. VENANT’S THEORY)	Rhombus
Total Strain Energy theory  (HAIGH’S THEORY)	Ellipse

For Ductile material

Theories of failure	Shape
Maximum Shear Stress Theory  (GUEST AND TRESCA’S THEORY)	Hexagon
Maximum Distortion Energy Theory  (VON MISES AND HENCKY’S THEORY)	Ellipse

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