Torsional Shear Stress

mech-torsion-stress

Torsional Shear Stress

mechanical

Statics

\tau = \frac{Tr}{J}

Shear stress in a shaft due to torsion

Circular cross-section, elastic range, small deformations

[
  {
    "symbol": "τ",
    "name": "Shear Stress",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "T",
    "name": "Torque",
    "unit": "N·m",
    "siUnit": "N·m",
    "imperialUnit": "ft·lbf"
  },
  {
    "symbol": "r",
    "name": "Radial Distance",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "in"
  },
  {
    "symbol": "J",
    "name": "Polar Moment of Inertia",
    "unit": "m⁴",
    "siUnit": "m⁴",
    "imperialUnit": "in⁴"
  }
]

τ, T, r, J

torsion, shear, shaft, stress

false