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Open Tube of Uniform Thickness Section Torsional Deformation and Stress Equation and Calculator
Torsional Deformation and Stress Any Thin Open Tube of Uniform Thickness Section Equations and Calculator.
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K = (1/3) U t3
U ¼length of median line, shown dashed
Angle of Twist under applied Torque Moment
θ = ( T L ) / ( K G )
Shear Stress Maximum
Along both edges remote from ends and assumes t small compared wtih least radius of curvature of median line.
θ = angle of twist (radians)
α = degrees
T = Twisting or torque moment force-length, (in-lbs, N-mm)
L = Length (in, mm)
U = Center Line Length (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
Roarks Formulas for Stress and Strain, 7th Edition, Table 10.1 Formulas for torsional deformation and stress.