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C Section Torque Applied Deformation and Stress Equations and Calculator

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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_o⁴

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 )

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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 (in², mm²)
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

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)