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
To find stress formula and angle of twist
expressions for thin-walled closed section.
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
Angle of Twist
Torsion of Non-Circulor Cross-sections
A – Elliptical Cross-Section
If a = b, the above equation reduces the
well-known equation for solid
Narrow Rectangular Cross-Section:
If ‘t’ is constant then the above
Torsion of thin-Walled open-section:
Equivalent narrow rectangular sections with shear stress distribution.