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== Elastic Curve == | == Elastic Curve == | ||
<tex> | |||
d\theta = \frac{M}{EI} dx | |||
</tex> | |||
<tex> | |||
\frac{d^{2}v}{dx^2} = \frac{M}{EI} | |||
</tex> | |||
== Assumptions == | |||
== Notation == | |||
* <tex>w(x)</tex> ... distributed load along the girder | |||
* <tex>v</tex> ... deflection | |||
* <tex>d\theta</tex> ... change of angle | |||
* <tex>M</tex> ... moment | |||
* <tex>V</tex> ... shear | |||
* <tex>EI</tex> ... flexural rigidity | |||
{{Traditional Analysis Methods}} | {{Traditional Analysis Methods}} | ||
Revision as of 06:14, 20 March 2009
Internal Forces
<tex> \frac{dV}{dx} = - w(x) </tex>
<tex>
\frac{dM}{dx} = V
</tex>
Elastic Curve
<tex> d\theta = \frac{M}{EI} dx </tex>
<tex> \frac{d^{2}v}{dx^2} = \frac{M}{EI} </tex>
Assumptions
Notation
- <tex>w(x)</tex> ... distributed load along the girder
- <tex>v</tex> ... deflection
- <tex>d\theta</tex> ... change of angle
- <tex>M</tex> ... moment
- <tex>V</tex> ... shear
- <tex>EI</tex> ... flexural rigidity
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| See Also | Computational analysis methods |
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