Related Resources: calculators

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

Beam Deflection and Stress Equation and Calculators

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

ALL calculators require a Premium Membership

Preview

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

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

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