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Torsional Deformation and Stress Hollow Rectangle Thin Wall Tube Section Calculator
Angle of Twist under applied Torque Moment
θ = ( T L ) / ( K G )
Shear Stress
Near the mid length of the short sides
Near the mid length of the Long sides
Where:
θ = angle of twist (radians)
α = degrees
T = Twisting or torque moment force-length, (in-lbs, N-mm)
L = Length (in, mm)
a, b = Diameter (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.