The Law of elasticity states that the strain (deformation) of an elastic object is proportional to the stress applied to it. Since stresses and strains have multiple independent components, the 'proportionality factor' is represented by a linear map (a tensor) constituting a matrix of real numbers.
Hooke's law describes the relationship between the force applied to a spring and the resulting extension or compression of the spring, as long as the material remains in the elastic deformation range of the stress-strain curve. Beyond the elastic limit, the material may exhibit plastic deformation, and Hooke's law may not apply.
Proportionality limit is the point upto which the stress remains directly proportional to strain whereas elastic limit is the point upto which the material remains elastic ie. if the stress is removed within elastic limit, then the material will regain its original shape and size.
Hooke's Law states that the force needed to extend or compress a spring by a distance is directly proportional to that distance. Mathematically, it is expressed as F = kx, where F is the force applied, k is the spring constant, and x is the distance the spring is stretched or compressed.
Materials such as metals (e.g. steel, aluminum), rubber, and certain plastics typically obey Hooke's Law of elasticity within their linear elastic range. This means they exhibit a linear relationship between stress and strain when subjected to small deformations.
In mechanics, and physics, Hooke's law of elasticity is an approximation that states that the extension of a spring is in direct proportion with the load added to it as long as this load does not exceed the elastic limit. So if you keep inside the load limit of the spring, the spring will return to it's original shape. As soon as you exceed that load the spring will stretch and not return to it's original shape
No, by definition Hooke's law relates to linear elastic only; when outside the elastic region it does not apply.
Hookes law is: extension is proportional to the load provided the elastic limit is not exceeded not sure what "the permanent set" means?? sorry hope someone else can help if this did not
Robert Hooke's law states that within elastic limit, the strain produced is directly proportional to the stress applied. Hence Stess/strain = constant This constant is known as Modulus of elasticity.
Hooke's Law relates to the elasticity of elastic objects, such as metal springs, and how they stretch in proportion to the force that acts on them.
Hooke's law describes the relationship between the force applied to a spring and the resulting extension or compression of the spring, as long as the material remains in the elastic deformation range of the stress-strain curve. Beyond the elastic limit, the material may exhibit plastic deformation, and Hooke's law may not apply.
Elastic substances return to their original shape after being deformed. Hooke's Law tells us that the force an elastic object, such as a spring, uses to reinstate itself to an original length is relative to, but in the opposite direction, of the length the spring is stretched.
Proportionality limit is the point upto which the stress remains directly proportional to strain whereas elastic limit is the point upto which the material remains elastic ie. if the stress is removed within elastic limit, then the material will regain its original shape and size.
Within the elastic limit of the material, a springs deformation is proportional to its loading.
all of them
Hooke's Law states that the force needed to extend or compress a spring by a distance is directly proportional to that distance. Mathematically, it is expressed as F = kx, where F is the force applied, k is the spring constant, and x is the distance the spring is stretched or compressed.
Hooked law is: Extension is proportionate to the load provided the elastic limit is not exceeded
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