EngiRef / Formulas

Tresca Criterion (Max Shear Stress)

Maximum shear stress failure criterion

Failure Theories

Source Details

Id

mat-tresca

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

Variables
[
  {
    "symbol": "τₘₐₓ",
    "name": "Maximum Shear Stress",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "σ₁",
    "name": "Max Principal Stress",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "σ₃",
    "name": "Min Principal Stress",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  }
]
Solve For

τₘₐₓ

Tags

tresca, shear, stress, failure, yield

Is Custom

false