Shear Stress due to Torsion READ SEC 312

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Shear Stress due to TorsionREAD SEC 3-12

• Circular Cross-Section Elements
• Non-Circular Cross-Sections

• For Circular Cross Sections
• Assumptions
• Plane Sections Remain Plane (Linear Kinematics,
  small angles of twist)
• Linear-Elastic (and isotropic) Material

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Shear Stress from Torsion of Circular
Cross-Section Elements
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For Non-Circular Cross-Sections

• determine experimentally
• elasticity solutions (Airy stress function
  approach membrane analogy)
• computational methods

• Rectangular cross-section (Eqs 3-43 3-44)
• Closed Thin-walled sections (Eqs 3-45-3-46)
• Open Thin-Walled Sections (Eq 3-47)

In general, (see Handout Torsion of
Non-Circular Cross-sections) Un-graded HW3
Problems uses Eqs 3-38 3-47 (Sec 3-12) or
Handout Table
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