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### C Section Torque Applied Deformation and Stress Equations and Calculator

**Beam Deflection and Stress Equation and Calculators**

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

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Torque Applied Deformation and Stress of a C Beam Section Calculator

K = 2Cr_{o}^{4}

Varies with r_{i} / r_{o} as follows

For:

Where 0.2 ≤ r_{i} / r_{o} 0.6

Angle of Twist under applied Torque Moment

θ = ( T L ) / ( K G )

Shear Stress Maximum

At M:

Where B varies with r_{i} / r_{o} as follows:

for 0.2 ≤ r_{i} / r_{o} ≤ 0.6

Where 0.1≤ h / r_{i} ≤ 1.0

Where:

θ = angle of twist (radians),

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

L = Length of Section (in, mm),

h = Length as Indicated (in, mm),

r_{o}, r_{i} = 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.

Related:

The Shaft Design Book (Design Charts and Calculations for Torsional Properties of Non-Circular Shafts)

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