Torsion: Difference between revisions
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The following notation is used throughout the torsion topic, unless noted otherwise: | The following notation is used throughout the torsion topic, unless noted otherwise: | ||
* <tex>B</ | * <tex>B</math> ... [[bimoment]] | ||
* <tex>I_{\omega}</ | * <tex>I_{\omega}</math> ... [[sectorial moment of inertia]] | ||
* <tex>\phi</ | * <tex>\phi</math> ... angle of rotation due to torsional moment | ||
* <tex>\phi'</ | * <tex>\phi'</math> ... first derivative of <tex>\phi</math> with respect to the local X axis of the member | ||
* <tex>\phi''</ | * <tex>\phi''</math> ... second derivative of <tex>\phi</math> with respect to the local X axis of the member | ||
* <tex>\phi'''</ | * <tex>\phi'''</math> ... third derivative of <tex>\phi</math> with respect to the local X axis of the member | ||
Revision as of 02:42, 22 October 2024
The twist or deformation of a body set up by a torque.
Torsion Theories
- 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
Notation
The following notation is used throughout the torsion topic, unless noted otherwise:
- <tex>B</math> ... bimoment
- <tex>I_{\omega}</math> ... sectorial moment of inertia
- <tex>\phi</math> ... angle of rotation due to torsional moment
- <tex>\phi'</math> ... first derivative of <tex>\phi</math> with respect to the local X axis of the member
- <tex>\phi</math> ... second derivative of <tex>\phi</math> with respect to the local X axis of the member
- <tex>\phi</math> ... third derivative of <tex>\phi</math> with respect to the local X axis of the member
See Also
References
- 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)
| Home > Topics > Traditional Analysis Methods > Torsion e | |
| Overview | Torsion · Saint Venant torsion theory · Vlasov torsion theory · Torsion formulas |
| Topics | Warping · Bimoment |