Torsion: Difference between revisions
Jump to navigation
Jump to search
No edit summary |
m (Text replacement - "<tex>" to "<math>") |
||
| (10 intermediate revisions by the same user not shown) | |||
| Line 3: | Line 3: | ||
== Torsion Theories == | == Torsion Theories == | ||
* [[Saint Venant torsion theory]] | * [[Saint Venant torsion theory]] - basic torsion theory for which [[warping]] is not restrained | ||
* [[Vlasov torsion theory]] | * [[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: | |||
* <math>B</math> ... [[bimoment]] | |||
* <math>I_{\omega}</math> ... [[sectorial moment of inertia]] | |||
* <math>\phi</math> ... angle of rotation due to torsional moment | |||
* <math>\phi'</math> ... first derivative of <math>\phi</math> with respect to the local X axis of the member | |||
* <math>\phi''</math> ... second derivative of <math>\phi</math> with respect to the local X axis of the member | |||
* <math>\phi'''</math> ... third derivative of <math>\phi</math> with respect to the local X axis of the member | |||
== See Also == | == See Also == | ||
* [[shear flow]] | * [[shear flow]] | ||
| Line 32: | Line 26: | ||
* AISC Design Guide 9: Torsional Analysis of Structural Steel Members (1996) | * 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) | * Michael R. Lindeburg: Civil Engineering Reference Manual for the PE Exam, 9th Edition, 2003, p. 45-14 (eq. 45.54) | ||
{{ | {{Torsion}} | ||
[[Category:Glossary]] | [[Category:Glossary]] | ||
[[Category:Torsion]] | [[Category:Torsion]] | ||
Latest revision as of 03:07, 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:
- ... bimoment
- ... sectorial moment of inertia
- ... angle of rotation due to torsional moment
- ... first derivative of with respect to the local X axis of the member
- ... second derivative of with respect to the local X axis of the member
- ... third derivative of 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 |