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### I Beam Section Torque Deflection, Stress Equation and Calculator

**Beam Deflection and Stress Equation and Calculators**

Torque Applied Deformation and Stress of a I Beam Section Equations and Calculator

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Torque Applied Deformation and Stress of a I Beam Section Calculator

K = 2K_{1} + K_{2} + 2αD^{4}

Where:

t = b if b < d,

t = d if d < b,

t_{1} = b if b > d,

t_{1} = d if d > b

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress Maximum

A = 2 a b + d c + 4 (πr^{2}/4)

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),

a, b, c, d = Length as Indicated (in, mm),

D = Diameter (in, mm),

r = radius (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.