Beam equations: Difference between revisions
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== Notation == | == Notation == | ||
* < | * <math>w(x)</math> ... distributed load along the girder | ||
* < | * <math>v</math> ... deflection | ||
* < | * <math>\theta</math> ... slope of elastic curve | ||
* < | * <math>M</math> ... moment | ||
* < | * <math>V</math> ... shear | ||
* < | * <math>EI</math> ... flexural rigidity | ||
== External links == | |||
* [http://virtual.cvut.cz/beams/ Beam Deflection formulas for cantiveler and simply supported beams] | |||
{{Traditional Analysis Methods}} | {{Traditional Analysis Methods}} | ||
[[Category:Beam]] | [[Category:Beam]] | ||
Latest revision as of 02:41, 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
- ... distributed load along the girder
- ... deflection
- ... slope of elastic curve
- ... moment
- ... shear
- ... 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 |