Euler–Bernoulli beam equation
GPTKB entity
Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
partial differential equations |
| gptkbp:assumes |
plane sections remain plane
small deformations linear elasticity |
| gptkbp:category |
beam theory
|
| gptkbp:describes |
bending of beams
|
| gptkbp:differentialOrder |
fourth order
|
| gptkbp:form |
EI d^4w/dx^4 = q(x)
|
| gptkbp:formedBy |
18th century
|
| gptkbp:governs |
deflection of beams
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler–Bernoulli beam equation
|
| gptkbp:namedAfter |
gptkb:Daniel_Bernoulli
gptkb:Leonhard_Euler |
| gptkbp:relatedTo |
gptkb:Timoshenko_beam_theory
|
| gptkbp:usedIn |
mechanical engineering
structural engineering |
| gptkbp:variant |
E (Young's modulus)
I (second moment of area) q(x) (distributed load) w (deflection) |
| gptkbp:bfsParent |
gptkb:Euler_equation
|
| gptkbp:bfsLayer |
6
|