Timoshenko beam theory

E478427

beam theory mechanical engineering theory structural analysis theory

Timoshenko beam theory is a refined structural model that accounts for both shear deformation and rotational inertia in beams, providing more accurate predictions of their behavior than classical Euler–Bernoulli beam theory, especially for short or deep beams.

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Statements (49)

Predicate	Object
instanceOf	beam theory ⓘ mechanical engineering theory ⓘ structural analysis theory ⓘ
accountsFor	rotational inertia ⓘ shear deformation ⓘ
addressesLimitationOf	neglect of rotary inertia in Euler–Bernoulli theory ⓘ neglect of shear deformation in Euler–Bernoulli theory ⓘ
appliesTo	buckling analysis of beams ⓘ dynamic analysis of beams ⓘ static analysis of beams ⓘ vibration analysis of beams ⓘ
assumes	linear elastic material behavior in its classical form ⓘ plane cross-sections remain plane but not necessarily perpendicular to the neutral axis ⓘ small rotations in its classical form ⓘ small strains in its classical form ⓘ
category	continuum mechanics ⓘ one-dimensional beam model ⓘ
comparedTo	Euler–Bernoulli beam theory NERFINISHED ⓘ
field	civil engineering ⓘ mechanical engineering ⓘ solid mechanics ⓘ structural mechanics ⓘ
governs	rotation of beam cross-sections ⓘ transverse displacement of beams ⓘ
hasFormulation	differential equation form ⓘ finite element discretized form ⓘ
includesEffect	rotary inertia of the cross-section ⓘ transverse shear deformation ⓘ
influenced	development of higher-order shear deformation theories ⓘ
moreAccurateThan	Euler–Bernoulli beam theory for high-frequency vibration NERFINISHED ⓘ Euler–Bernoulli beam theory for thick beams ⓘ
namedAfter	Stephen P. Timoshenko NERFINISHED ⓘ
provides	more accurate predictions for deep beams ⓘ more accurate predictions for short beams ⓘ
reducesTo	Euler–Bernoulli beam theory for slender beams with small shear effects NERFINISHED ⓘ
relaxesAssumptionOf	zero shear strain across the cross-section ⓘ
typicalApplication	aerospace structural components ⓘ bridge girders of moderate span ⓘ machine tool structures ⓘ
usedIn	analysis of composite beams ⓘ analysis of laminated beams ⓘ analysis of sandwich beams ⓘ design of short-span structural members ⓘ finite element analysis of beams ⓘ
usesParameter	Young's modulus NERFINISHED ⓘ mass density ⓘ second moment of area ⓘ shear correction factor ⓘ shear modulus ⓘ

Referenced by (1)

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Stephen Timoshenko → knownFor → Timoshenko beam theory ⓘ