AISCAISC 360-22
Formulas

Formulas: Round and Rectangular HSS Subjected to Torsion

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Equation C-H3-1

For round HSS, the torsional shear constant is equal to the polar moment of inertia divided by the radius:

C=π(D4−Di4)32D/2≈πt(D−t)22C=\frac{\pi\left(D^{4}-D_{i}^{4}\right)}{32 D / 2} \approx \frac{\pi t(D-t)^{2}}{2}

where

DiD_{i} is the inside diameter.

Equation C-H3-3

C=2t(B−t)(H−t)−4.5t3(4−π)C=2 t(B-t)(H-t)-4.5 t^{3}(4-\pi)

Formula 3

Fcr=KtE(Dt)23 (C-H3-4) F_{c r}=\frac{K_{t} E}{\left(\frac{D}{t}\right)^{2}}{ }^{3} \quad \text { (C-H3-4) }

Equation C-H3-5

Fcr=1.23E(D)5/4LF_{c r}=\frac{1.23 E}{\left(D\right)^{5 / 4} \sqrt{L}}

Found in

Formulas: unsymmetric and other members subjected to flexure and axial force

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Formulas: HSS Subjected to Combined Torsion, Shear, Flexure, and Axial Force

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Equation C-H3-1Equation C-H3-3Formula 3Equation C-H3-5Found in