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### Trapezoid Torque Deformation Stress Equations and Calculator

**Beam Deflection and Stress Equation and Calculators**

Torque Applied Deformation and Stress of a Trapezoid Equations and Calculator

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Torque Applied Deformation and Stress of a Trapezoid Calculator

^{}

Where:

V_{L} = 0.10504 - 0.10s + 0.0848s^{2} + 0.06746s^{3} + 0.0515s^{4}

V_{s} = 0.10504 + 0.10s + 0.0848s^{2} + 0.06746s^{3} + 0.0515s^{4}

s = ( m - n ) / b

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress Maximum

A = ( m + n) b / 2

Where:

θ = angle of twist (radians),

α = degrees,

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

L = Length of Section (in, mm),

m, n, b = Length as Indicated (in, mm),

A = area of section (in^{2}, mm^{2})

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.

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