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14:39 Sep 7, 2019 |
Polish to English translations [PRO] Science - Science (general) / general mechanics | |||||||
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| Selected response from: Frank Szmulowicz, Ph. D. United States Local time: 11:23 | ||||||
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Summary of answers provided | ||||
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3 +1 | uniaxial case |
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Discussion entries: 2 | |
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uniaxial case Explanation: Propozycja. -------------------------------------------------- Note added at 3 hrs (2019-09-07 17:49:16 GMT) -------------------------------------------------- In Chapter 1 the deformation of a bar has been characterized by the strain and the displacement. We will now generalize these kinematic quantities to the plane and the spatial cases. For this purpose, we introduce the displacement vector and the strain tensor, the latter describing length and angle changes. In addition, we will extend the already known Hooke’s law from the uniaxial case to the two and three-dimensional cases. Finally, we will discuss the so-called strength hypotheses in order to assess the exertion of the material under multiaxial stress. The students shall learn how to calculate the stresses from the strains or displacements and vice versa. https://link.springer.com/chapter/10.1007/978-3-642-12886-8_... cccccccccc According to Chapter 1, stresses and strains are connected by Hooke's law. In the uniaxial case (bar) it takes the form σ = E ε where E is Young's modulus https://books.google.com/books?id=2fxQDwAAQBAJ&pg=PA86&lpg=P... ccccccccccccccccccccccccccccccccc -------------------------------------------------- Note added at 3 hrs (2019-09-07 17:51:13 GMT) -------------------------------------------------- GENERALIZED HOOKE'S LAW In Section 3.1 we studied the “uniaxial” case only, i.e., the strain in the direction of the acting stress ti I. We shall now extend to the general case of spatial (triaxial)... https://books.google.com/books?id=oEsvBQAAQBAJ&pg=PA43&lpg=P... |
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