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### Torsional Deformation Stress Hollow Elliptical Section Equation and Calculator

Beam Deflection and Stress Equation and Calculators

Torsional Deformation and Stress Hollow Elliptical Section Equations and Calculator. Hollow elliptical section, outer and inner boundaries similar ellipses ALL calculators require a Premium Membership

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Torsional Deformation and Stress Eccentric Hollow Elliptical Section Calculator Where:

q = ao / a = bo / b

Wall thickness is not constant

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress

τmax = 2 T / [ π a b2 ( 1 - q4 ) ] at end of monor axis on outer surface

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)
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  