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Torsional Deformation and Stress Hollow Rectangle Thin Wall Tube Section Calculator

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

mid length of the short sides

Near the mid length of the Long sides

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.


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