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===Young's modulus=== {{main|Young's modulus}} [[File:Young - Mathematical elements of natural philosophy, 2002 - 3933182 F.tif|thumb|Young's ''Mathematical Elements of Natural Philosophy'']] Young described the characterization of elasticity that came to be known as Young's modulus, denoted as ''E'', in 1807, and further described it in his ''Course of Lectures on Natural Philosophy and the Mechanical Arts''.<ref>{{cite book | title = Course of Lectures on Natural Philosophy and the Mechanical Arts | author = Young, Thomas | url = https://archive.org/details/bub_gb_fGMSAAAAIAAJ | page = [https://archive.org/details/bub_gb_fGMSAAAAIAAJ/page/n141 106] | quote = modulus thomas young. | year = 1845 | publisher = London: Taylor and Walton}}</ref> However, the first use of the concept of Young's modulus in experiments was by [[Giordano Riccati]] in 1782—predating Young by 25 years.<ref>{{cite book | author = Truesdell, Clifford A.| year = 1960 | title = The Rational Mechanics of Flexible or Elastic Bodies, 1638–1788: Introduction to Leonhardi Euleri Opera Omnia, vol. X and XI, Seriei Secundae | publisher = Orell Fussli}}</ref> Furthermore, the idea can be traced to a paper by [[Leonhard Euler]] published in 1727, some 80 years before Thomas Young's 1807 paper. The Young's modulus relates the stress (pressure) in a body to its associated strain (change in length as a ratio of the original length); that is, stress = ''E'' × strain, for a uniaxially loaded specimen. Young's modulus is independent of the component under investigation; that is, it is an inherent material property (the term modulus refers to an inherent material property). Young's Modulus allowed, for the first time, prediction of the strain in a component subject to a known stress (and vice versa). Prior to Young's contribution, engineers were required to apply Hooke's F = kx relationship to identify the deformation (x) of a body subject to a known load (F), where the constant (k) is a function of both the geometry and material under consideration. Finding k required physical testing for any new component, as the F = kx relationship is a function of both geometry and material. Young's Modulus depends only on the material, not its geometry, thus allowing a revolution in engineering strategies. Young's problems in sometimes not expressing himself clearly were shown by his own definition of the modulus: "The modulus of the elasticity of any substance is a column of the same substance, capable of producing a pressure on its base which is to the weight causing a certain degree of compression as the length of the substance is to the diminution of its length." When this explanation was put to the Lords of the Admiralty, their clerk wrote to Young saying "Though science is much respected by their Lordships and your paper is much esteemed, it is too learned ... in short it is not understood."<ref>"Structures, or Why Things Don't Fall Down" by J. E. Gordon, Penguin Books, 1978.</ref>
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