Related Resources: mechanics machines
Torsional Deflection of Shaft
Strength Mechanics of Materials
Mechanics of Machine Design, Equations and Calculators
Angular Deflection of Solid Cylinder or Shaft with Torsion Applied
The angular deflection of a solid cylinder with torsion loading applied:
θ = L T / (G J )
Open Torsional Deflection of Shaft Calculator
Where:
θ = angular shaft deflection (radians)
T = torque (N-mm, in-lb)
L = length of shaft (mm, in)
G = modulus of rigidity (Mpa, psi)
J
= Polar moment of inertia (mm4, in4)
#2 Equation and Calcuator for Angular Deflection of Solid Cylinder or Shaft with Torsion Applied
θ = 32 L T / (G π D4)
The angle in degrees can be achieved by multiplying the angle θ in radians with 180/π
Solid shaft (π substituted)
θdegrees ≈ 584 L T / (G D4)
Open Angular Deflection of a Torsion Solid Shaft Calculator
Where:
D = outside diameter (mm, in.)
T = torque (N-mm, in-lb)
L = length of shaft (mm, in)
G = modulus of rigidity (Mpa, psi)
Angular Deflection of Hollow Shaft or Cylinder Equation and Calculator
Open Angular Deflection of Hollow Shaft Calculator
The angular deflection of hollow shaft
θ = 32 L T / (G π (D4- d4))
Where:
D = outside diameter (mm, in.)
d = inside diameter (mm, in.)
G = modulus of rigidity (Mpa, psi)
T = torque (N-mm, in-lb)
L = length of shaft (mm, in)
Hollow shaft (π substituted)
θdegrees ≈ 584 L T / (G (D4- d4)
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