Hooke's law

E114938

Hooke's law is a fundamental principle of physics that states the force needed to extend or compress a spring is directly proportional to the displacement, within the elastic limit of the material.

All labels observed (4)

How this entity was disambiguated

Statements (49)

Predicate Object
instanceOf law of elasticity ⓘ
physical law ⓘ
appliesTo elastic materials ⓘ
small deformations ⓘ
springs ⓘ
assumes linear elasticity ⓘ
small strain ⓘ
category classical mechanics ⓘ
continuum mechanics ⓘ
concerns elastic deformation ⓘ
restoring forces ⓘ
describes linear relationship between force and displacement ⓘ
dimensionGeneralization tensor form in continuum mechanics ⓘ
expressedAs F = k x (magnitude only) ⓘ
F = −k x ⓘ
failsWhen deformations are large ⓘ
material undergoes plastic deformation ⓘ
material yields ⓘ
field materials science ⓘ
mechanics ⓘ
physics ⓘ
hasQuantity displacement ⓘ
force ⓘ
spring constant ⓘ
historicalPropositionBy Robert Hooke ⓘ
holdsApproximatelyFor many solids under small deformations ⓘ
implies restoring force is opposite to displacement ⓘ
isBasisFor linear elastic theory ⓘ
one-dimensional spring models ⓘ
mathematicalForm F = −k x, where k is spring constant and x is displacement from equilibrium ⓘ
namedAfter Robert Hooke ⓘ
originalFormulationLanguage Latin ⓘ
originalMotto Ut tensio, sic vis ⓘ
relatedTo Young's modulus ⓘ
potential energy in a spring ⓘ
simple harmonic oscillator ⓘ
stress–strain relationship ⓘ
relates restoring force to displacement ⓘ
usedFor analyzing oscillatory motion ⓘ
designing mechanical springs ⓘ
determining spring constant experimentally ⓘ
modeling ideal springs ⓘ
simple harmonic motion ⓘ
usedIn engineering ⓘ
materials testing ⓘ
structural analysis ⓘ
vibration analysis ⓘ
validWithin elastic limit ⓘ
yearProposedApprox 1676 ⓘ

How these facts were elicited

Referenced by (5)

Full triples — surface form annotated when it differs from this entity's canonical label.

Robert Hooke → knownFor → Hooke's law ⓘ
Robert Hooke → formulated → Hooke's law of elasticity ⓘ
linked to: Hooke's law
Robert Hooke → lawStatement → Hooke's law: extension is proportional to force (within elastic limit) ⓘ
linked to: Hooke's law
A Treatise on the Mathematical Theory of Elasticity → usesConcept → Hooke's law in tensor form ⓘ
linked to: Hooke's law
Strength of Materials → topic → Hooke's law ⓘ