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Torsion of Thin-Walled Closed Cross-Sections

Torsion of Thin-Walled Closed Cross-Sections. Objective:. To find stress formula and angle of twist expressions for thin-walled closed section. Torsion Formula. T = 2qA m. Closed thin-walled tube. q = t. dM o = dF(r) = ( dA)r = (tds)r. dM o = (qds)r. dA m = ½ rds.

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Torsion of Thin-Walled Closed 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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