Euler-Bernoulli beam theory

GPTKB entity

Predicate	Object
gptkbp:instanceOf	beam theory
gptkbp:alsoKnownAs	classical beam theory
gptkbp:appliesTo	slender beams
gptkbp:assumes	material is linearly elastic plane sections remain plane small deformations
gptkbp:describes	relationship between beam deflection and applied load
gptkbp:E	gptkb:Young's_modulus
gptkbp:form	EI d^4w/dx^4 = q(x)
gptkbp:formedBy	18th century
gptkbp:generalizes	gptkb:Timoshenko_beam_theory
gptkbp:governingEquation	fourth-order partial differential equation
https://www.w3.org/2000/01/rdf-schema#label	Euler-Bernoulli beam theory
gptkbp:I	second moment of area
gptkbp:ignores	shear deformation rotary inertia
gptkbp:namedAfter	gptkb:Daniel_Bernoulli gptkb:Leonhard_Euler
gptkbp:publishedIn	gptkb:Leonhard_Euler's_1744_work_'Methodus_inveniendi_lineas_curvas_maximi_minimive_proprietate_gaudentes'
gptkbp:q(x)	distributed load
gptkbp:usedIn	civil engineering mechanical engineering structural engineering
gptkbp:w	transverse displacement
gptkbp:bfsParent	gptkb:Timoshenko_beam_theory
gptkbp:bfsLayer	7