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The work done gives the spring deformation energy (the same applies to members, beams, etc.).
The maximum shear strain energy criterion is used to determine the dimensions of workpieces made of tough materials.
The maximum shear strain energy criterion is a failure theory that predicts the failure of a tough material.
In addition to the maximum shear strain energy criterion, there is also the maximum principal stress criterion for brittle materials and the maximum shear stress criterion for ductile materials.