Torsion: Difference between revisions

Revision as of 06:19, 22 September 2009

The twist or deformation of a body set up by a torque.

Saint Venant torsion theory - basic torsion theory for which warping is not restrained
Vlasov torsion theory - more general torsion theory for which warping can be restrained

The following notation is used throughout the torsion topic, unless noted otherwise:

<tex>B</tex> ... bimoment
<tex>I_{\omega}</tex> ... sectorial moment of inertia
<tex>\phi</tex> ... angle of rotation due to torsional moment
<tex>\phi'</tex> ... first derivative of <tex>\phi</tex> with respect to the local X axis of the member
<tex>\phi</tex> ... second derivative of <tex>\phi</tex> with respect to the local X axis of the member
<tex>\phi</tex> ... third derivative of <tex>\phi</tex> with respect to the local X axis of the member

AISC Design Guide 9: Torsional Analysis of Structural Steel Members (1996)
Michael R. Lindeburg: Civil Engineering Reference Manual for the PE Exam, 9th Edition, 2003, p. 45-14 (eq. 45.54)

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Overview	Torsion · Saint Venant torsion theory · Vlasov torsion theory · Torsion formulas
Topics	Warping · Bimoment

@@ Line 17: / Line 17: @@
 * <tex>\phi'''</tex> ... third derivative of <tex>\phi</tex> with respect to the local X axis of the member
-== Torsion of Solid Sections ==
-== Torsion of Closed Thin-Walled Sections ==
-Shear stress due to torsion in a thin-walled noncircular shell can be calculated as follows (Lindeburg 2003):
-<tex>\tau = \frac{T}{2At}</tex>
-where
-* <tex>\tau</tex> ... shear stress
-* <tex>T</tex> ... applied torsion
-* <tex>A</tex> ... area enclosed by the centerline of the shell
-* <tex>t</tex> ... sheel thickness
-== Torsion of Open Thin-Walled Sections ==
 == See Also ==