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Preview Torsional Deformation and Stress Solid Rectangle Section Calculator

θ = T L / K G

Polar Moment of Inertia

Unit shear stress force

at the midpoint of each longer side for a ≥ b

Where:

θ - angle of twist (radians)
T = Twisting or torque moment force-length, (in-lbs, N-mm)
L = Length (in, mm)
a = Distance as indicated (in, mm)
b = Distance as indicated (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.