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You are here: Home / Surveying and Levelling / Hooke’s Law of Elasticity | Definition of Elastic Materials

Hooke’s Law of Elasticity | Definition of Elastic Materials

December 5, 2010 by admin Leave a Comment

Hooke’s law of elasticity:

In mechanics, and physics, Hooke’s law of elasticity is an approximation that states that the amount by which a material body is deformed (the strain) is linearly related to the force causing the deformation (the stress).

Behavior is linear, If shown on a graph, the line should show a direct
variation.

Mathematical Form of Hookes Law:
For systems that obey Hooke’s law, the extension produced is directly proportional to the load:
F=-kX  Where
X=is the distance that the spring has been stretched or compressed away from the equilibrium position.
F=is the restoring force exerted by the material (usually in newtons), and
K=is the force constant (or spring constant). The constant has units of force per unit length (usually in newton per meter).

Elastic Materials:

Objects that quickly regain their original shape after being deformed by a force, with the molecules or atoms of their material returning to the initial state of stable equilibrium, often obey Hooke’s law.

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