Angle of Twist

mech-angle-twist

Angle of Twist

mechanical

Statics

\phi = \frac{TL}{GJ}

Angular deflection of shaft under torsion

Uniform shaft, constant torque along length

[
  {
    "symbol": "φ",
    "name": "Angle of Twist",
    "unit": "rad",
    "siUnit": "rad",
    "imperialUnit": "rad"
  },
  {
    "symbol": "T",
    "name": "Torque",
    "unit": "N·m",
    "siUnit": "N·m",
    "imperialUnit": "ft·lbf"
  },
  {
    "symbol": "L",
    "name": "Length",
    "unit": "m",
    "siUnit": "m",
    "imperialUnit": "ft"
  },
  {
    "symbol": "G",
    "name": "Shear Modulus",
    "unit": "Pa",
    "siUnit": "Pa",
    "imperialUnit": "psi"
  },
  {
    "symbol": "J",
    "name": "Polar Moment of Inertia",
    "unit": "m⁴",
    "siUnit": "m⁴",
    "imperialUnit": "in⁴"
  }
]

φ, T, L, G, J

torsion, twist, shaft, angle

false