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Torsional Deformation and Stress Solid Circular Section

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Preview Torsional Deformation and Stress Solid Circular Section Calculator

θ = TL / KG

K = 0.5 π r4

τmax = 2 T / π r3 at Boundary

Where:

θ - angle of twist (radians)
T = Twisting or torque moment force-length, (in-lbs, N-mm)
L = Length (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 circular section
Q = Length cubed (in3, mm3)
R = Radius (in, mm)

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