Euler–Bernoulli beam theory

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo slender beams
gptkbp:assumes material is linearly elastic
no shear deformation
plane sections remain plane
small deformations
gptkbp:basisFor modern structural analysis
gptkbp:describes relationship between load and deflection in beams
gptkbp:distinctiveFeature gptkb:Timoshenko_beam_theory
gptkbp:field civil engineering
mechanics
structural engineering
gptkbp:form beam deflection under load
gptkbp:formedBy 18th century
gptkbp:governingEquation fourth-order differential equation
https://www.w3.org/2000/01/rdf-schema#label Euler–Bernoulli beam theory
gptkbp:limitation inaccurate for deep beams
neglects rotary inertia
neglects shear deformation
gptkbp:namedAfter gptkb:Daniel_Bernoulli
gptkb:Leonhard_Euler
gptkbp:publishedIn 1744
gptkbp:relatedTo gptkb:elasticity_theory
strength of materials
gptkbp:usedFor analyzing bending of beams
gptkbp:usedIn gptkb:bridge
aerospace engineering
mechanical engineering
naval architecture
building construction
gptkbp:bfsParent gptkb:Leonhard_Euler
gptkbp:bfsLayer 5