Answered: Describe the theory Tresca yield…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Describe the theory Tresca yield criterion?

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Theories of failures relates different failure criterions with the properties of the materials such as yield strength or ultimate strength. The theories make use of principal stresses.

Tresca yield criterion is also known as Maximum shear stress theory.

As per this theory, yielding takes place when the maximum shear stress in the material is equal to the shear stress at yielding in a uniaxial tensile test.

Therefore, $T$ _max= $T$ _y( $T$ is the shear stress)

In terms of principal stresses, we can express maximum shear stress as $T$ _max= $\frac{σ_{1} - σ_{2}}{2}$

where $σ$ ₁ and $σ$ ₂ are the maximum and minimum principal moments of inertia.

Thus we can write, $\frac{σ_{1} - σ_{2}}{2}$ = $T$ _y

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