Beam equations: Difference between revisions
Jump to navigation
Jump to search
(New page: {{Traditional Analysis Methods}}) |
m (Text replacement - "<tex>" to "<math>") |
||
| (17 intermediate revisions by the same user not shown) | |||
| Line 1: | Line 1: | ||
== 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 == | |||
* <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]] | |||
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 |