Vlasov torsion theory: Difference between revisions
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Refer to [[Torsion#Notation|torsion page]] for the notation used in the above equation. | Refer to [[Torsion#Notation|torsion page]] for the notation used in the above equation. | ||
== Stresses == | |||
According to Vlasov to the theory, the applied torque causes the following three types of stresses: | |||
# shear stresses due to unrestrained torsion | |||
# shear stresses due to restrained warping | |||
# normal stresses due to restrained warping | |||
== External Links == | == External Links == | ||
Revision as of 05:31, 22 September 2009
Assumptions
- Warping can be constrained
- Derivative of section rotation about the axis of the twist is not constant
Differential Equation
The rotation of the beam cross-section follows the following differential equation (Hoogenboom 2006):
<tex>EI_{\omega}\;\frac{d^4 \phi}{dx^4}\;-\; GI_t\;\frac{d^2 \phi}{dx^2}\;=\; m_x</tex>
Refer to torsion page for the notation used in the above equation.
Stresses
According to Vlasov to the theory, the applied torque causes the following three types of stresses:
- shear stresses due to unrestrained torsion
- shear stresses due to restrained warping
- normal stresses due to restrained warping
External Links
- P.C.J. Hoogenboom: Vlasov Torsion Theory, October 2006
| Home > Topics > Traditional Analysis Methods > Torsion e | |
| Overview | Torsion · Saint Venant torsion theory · Vlasov torsion theory · Torsion formulas |
| Topics | Warping · Bimoment |