**Related Resources: calculators**

### Thin Circular Open Tube Torsional Deformation and Stress Equation and Calculator

**Beam Deflection and Stress Equation and Calculators**

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

ALL calculators require a *Premium Membership*

Preview

Torsional Deformation and Stress Hollow Thin Circular Open Tube of Uniform Thickness Calculator

K = (2/3) π r t^{3}

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress Maximum

Along both edges remote from ends and assumes t is small compared with mean radius.

Where:

θ = angle of twist (radians)

α = degrees

T = Twisting or torque moment force-length, (in-lbs, N-mm)

L = Length (in, mm)

r = Radius (in, mm)

t = Thickness wall (in, mm)

τ = Unit shear stress force / area (lbs/in^{2}, N/mm^{2})

G = Modulus of rigidity force / area (lbs/in^{2}, N/mm^{2})

K = Polar Moment of Inertia (in^{4}, mm^{4}) for section

Reference:

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