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Open Tube of Uniform Thickness Section Torsional Deformation and Stress Equation and Calculator

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Torsional Deformation and Stress Any Thin Open Tube of Uniform Thickness Section Equations and Calculator.

Any Thin Open Tube of Uniform Thickness Section

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Torsional Deformation and Stress Any Thin Open Tube of Uniform Thickness Calculator

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

Shear Stress Maximum

Along both edges remote from ends and assumes t small compared wtih least radius of curvature of median line.

Where:

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

References:

Roark's Formulas for Stress and Strain

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