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Thin Circular Open Tube Torsional Deformation and Stress Equation and Calculator

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Torsional Deformation and Stress Thin Circular Open Tube of Uniform Thickness Section Equations and Calculator.

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Torsional Deformation and Stress Hollow Thin Circular Open Tube of Uniform Thickness Calculator

K = (2/3) π r t³

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress Maximum

Along both edges remote from ends and assumes t is small compared with mean radius.

Where:

θ = angle of twist (radians)
α = degrees
T = Twisting or torque moment force-length, (in-lbs, N-mm)
L = Length (in, mm)
r = Radius (in, mm)
t = Thickness wall (in, mm)
τ = Unit shear stress force / area (lbs/in², N/mm²)
G = Modulus of rigidity force / area (lbs/in², N/mm²)
K = Polar Moment of Inertia (in⁴, mm⁴) for section

Reference:
Roarks Formulas for Stress and Strain, 7th Edition, Table 10.1 Formulas for torsional deformation and stress.