Beam equations: Difference between revisions
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== Notation == | == Notation == | ||
* <tex>w(x)</ | * <tex>w(x)</math> ... distributed load along the girder | ||
* <tex>v</ | * <tex>v</math> ... deflection | ||
* <tex>\theta</ | * <tex>\theta</math> ... slope of elastic curve | ||
* <tex>M</ | * <tex>M</math> ... moment | ||
* <tex>V</ | * <tex>V</math> ... shear | ||
* <tex>EI</ | * <tex>EI</math> ... flexural rigidity | ||
== External links == | == External links == | ||
Revision as of 02:24, 22 October 2024
Beam Theories
- Euler–Bernoulli beam equation - basic theory based on geometry of deformation
- Timoshenko beam theory - extended theory that takes into account shear deformation
Notation
- <tex>w(x)</math> ... distributed load along the girder
- <tex>v</math> ... deflection
- <tex>\theta</math> ... slope of elastic curve
- <tex>M</math> ... moment
- <tex>V</math> ... shear
- <tex>EI</math> ... flexural rigidity
External links
| Home > Topics > Traditional Analysis Methods e | |
| Fundamentals | Traditional analysis methods · Section properties · Mohr's Circle · Interaction diagram |
| Theory | Elasticity equations |
| Forces and Stresses | Torsion · Flexure · Shear · Principal stress |
| Basic Statics | Beam equations · Moment area method · Vereschagin's rule · Stiffness matrix · Fixed end moments · Determinate statics · Indeterminate statics · Maxwell's theorem of reciprocal displacements · Betti's law |
| Influence lines · Muller-Breslau principle | |
| Basic Dynamics | Damping · Mass matrix · Damping matrix |
| Energy Methods | External work and strain energy · Principle of work and energy · Virtual work method · Unit load method · Castigliano's Theorem |
| Approximate Methods | Moment distribution method |
| Graphical | Cremona Diagram |
| See Also | Computational analysis methods |
| Related Categories | Traditional Analysis Methods |