An Elementary Derivation of the Maximum Shear Stress in a Three Dimensional State of Stress
Source abstract
Abstract
The maximum shear stress associated with a 3D stress state is a widely used quantity in solid mechanics. While the expression of this quantity in terms of principal stresses is given in most mechanics classes, its derivation is far less common. In this classroom note, an elementary derivation of the maximum shear stress is given that avoids vector calculus, Lagrange multipliers, and the full framework necessary for Mohr’s graphical derivation.
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Research context
OpenAlex topics: Metal Forming Simulation Techniques · Dynamics and Control of Mechanical Systems · Structural Analysis and Optimization
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References (8)
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