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.

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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

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Referenced by (3)

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
this entity surface form: Hooke's law of elasticity
Robert Hooke lawStatement Hooke's law
this entity surface form: Hooke's law: extension is proportional to force (within elastic limit)