An Elementary Derivation of the Maximum Shear Stress in a Three Dimensional State of Stress
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...
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Published in | Journal of elasticity Vol. 152; no. 1-2; pp. 179 - 182 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Dordrecht
Springer Netherlands
01.12.2022
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | 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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ISSN: | 0374-3535 1573-2681 |
DOI: | 10.1007/s10659-022-09948-7 |