This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: β w y β Volume wdxdy = β«β« β Ξ€ 2 Apply to a narrow rectangular cross-section bh 3 J = 3 2T (local axes ) Ο res β J x = Ο yz ( Ο xz = 0 ) apply to: CLOSED, THICK-WALLED SECTIONS Ο = C 1 on one boundary Ο = C 2 on one boundary Paul A. Lagace Β© 2002 Handout 3-2 MIT - 16.20 Fall, 2002 β« Ο ds = 2AGk on any closed boundary THIN-WALLED CLOSED SECTIONS Ο res constant through thickness Ο ds = 2GKA β« βshear flowβ: q = Ο t A = enclosed area Bredtβs formula T Ο resultant = 2 At 4 A 2 J = t ds β« Note : Free-to-warp assumptions violated near end constraints for all torsion problems. Paul A. Lagace Β© 2002 Handout 3-3...
View Full Document
- Fall '02
- Torsion, Paul A. Lagace