EngiRef / Materials Engineering Formula
Tresca Criterion (Max Shear Stress)
Tresca Criterion (Max Shear Stress): Maximum shear stress failure criterion. A Failure Theories formula in materials engineering. Variables τₘₐₓ, σ₁ and σ₃…
Failure Theories
Specification
- Name
- Tresca Criterion (Max Shear Stress)
- Discipline
- materials
- Category
- Failure Theories
- LaTeX
- \tau_{max} = \frac{\sigma_1 - \sigma_3}{2}
- Description
- Maximum shear stress failure criterion
- Conditions
- For ductile materials; σ₁ ≥ σ₂ ≥ σ₃
- Can solve for
- τₘₐₓ
- Tags
- tresca, shear, stress, failure, yield
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| τₘₐₓ | Maximum Shear Stress | Pa | Pa | psi |
| σ₁ | Max Principal Stress | Pa | Pa | psi |
| σ₃ | Min Principal Stress | Pa | Pa | psi |