Vlasov torsion theory: Difference between revisions
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== Differential Equation == | == 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}\;-\; | <tex>EI_{\omega}\;\frac{d^4 \phi}{dx^4}\;-\; | ||
Revision as of 05:23, 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.
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 |