F kx, where k is a constant factor characteristic of the spring, its stiffness. Learn about elasticity and how to determine the force exerted by a spring. In terms of springs, this means understanding the laws of elasticity. Hooke s law is used today in many places, and its actually good to understand it. The modern theory of elasticity is a generalized variation on hooke s law, which states that the straindeformation of an elastic object or material is proportional to the stress applied to it. George ferdinand becker, the finite elastic stressstrain function, the american. Hooke s law is a law of physics that states that the force f needed to extend or compress a spring by some distance x scales linearly with respect to that distancethat is, where k is a constant factor characteristic of the spring i. A brief overview of springs, hooke s law, and elastic potential energy for algebrabased physics students many materials obey this law of elasticity as long as the load does not exceed the materials elastic limit.
Hookes law, law of elasticity that relates the size of the deformation of an object to the deforming force or load. He drew up the law of elasticity, now called hookes law, while. He first stated the law in 1660 as a latin anagram. Not to mention that he got in trouble for being a ladies man. The minimal value of the stress which produces plastic deformation is known as the elastic limit for the material. Robert hooke, english physicist who discovered the law of elasticity, known as hooke s law, and who did research in a remarkable variety of fields. Hooke s law is a principle of physics that states that the force f needed to extend or compress a spring by some distance x is proportional to that distance. The law is named after 17thcentury british physicist robert.
The cognitive law expressed by equation 4 is formally identical to hooke s law of elasticity. He was the first man to state in general that all matter expands when heated and that air is made up of particles separated from each other by relatively large distances. Interestingly, no matter how early in the history of elasticity the consequences of. A historical reconstruction of what robert hooke looked like, painted in. A treatise on the mathematical theory of elasticity archive ouverte. An overview of stressstrain analysis for elasticity equations. While the history books have been kind to isaac newton, crediting him. Hookes law states that the force should be proportional to the extension. Our mission is to provide a free, worldclass education to anyone, anywhere.
Learn not only about the hooke s law, but also about its history. Linear elasticity, generalized hookes law and stressstrain relations for. Under these conditions the object returns to its original shape and size upon removal. However, when hooke described it there were no matrixes involved. Hookes law, law of elasticity discovered by the english scientist robert hooke in 1660, which states that, for relatively small deformations of an object, the displacement or size of the deformation is directly proportional to the deforming force or load. We propose to give a sketch of such a history, so far as to include. Hooke gave in 1678 the famous law of proportionality of stress and strain. The modern theory of elasticity generalizes hookes law to say that the strain deformation of an elastic object or material is proportional to the. New portrait establishes hookes rightful place in the history books.
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