What are the failure theories and which basics they derived

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Accepted Answer

Failure theories are used to predict the failure of materials under different loading conditions.

Theories include maximum shear stress theory, maximum normal stress theory, and maximum strain energy theory
Maximum shear stress theory states that failure occurs when the maximum shear stress in a material exceeds the shear strength of the material
Maximum normal stress theory states that failure occurs when the maximum normal stress in a material exceeds the tensile or compressive strength of the material
Maximum strain energy theory states that failure occurs when the total strain energy in a material exceeds the strain energy at the yield point
These theories are derived from basic principles of mechanics and material science
They are used in engineering design to ensure that materials and structures are safe and reliable

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