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Comprehensive Guide to Torsion of Thin-walled Cross-sections

Explore stress formulas and angle of twist expressions for different closed cross-sections like elliptical and rectangular shapes. Learn how to calculate torsion for thin-walled open sections using equivalent narrow rectangular sections.

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Comprehensive Guide to Torsion of Thin-walled Cross-sections

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  1. Torsion of Thin-Walled Closed Cross-Sections Objective: To find stress formula and angle of twist expressions for thin-walled closed section.

  2. Torsion Formula T = 2qAm Closed thin-walled tube. q = t dMo = dF(r) = (dA)r = (tds)r dMo = (qds)r dAm = ½ rds Enclosed area Am dMo = 2qdAm

  3. Angle of Twist 

  4. Torsion of Non-Circulor Cross-sections A – Elliptical Cross-Section If a = b, the above equation reduces the well-known equation for solid circular section.

  5. Rectangular Cross-Section:

  6. t=a L t l=b Narrow Rectangular Cross-Section:

  7. t1 L1 t1 L2 t2 l2 l1 t t2 t l3 b t3 L3 a t4 t L4 If ‘t’ is constant then the above becomes: l1+l2+l3 l1+l2+l3+l4 Torsion of thin-Walled open-section: Equivalent narrow rectangular sections with shear stress distribution.

  8. The enD

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