00040___b028acc8c372d90d1816d1633f6a2b58 - The change in...

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Sec. 1.6 PROTOTYPE OF WAVE DYNAMICS 19 Fig. 1.6:l. Fig. 1.6:2. the length of the wire, with an origin 0 chosen at the lower end. When the wire is loaded, each particle in the wire will be displaced longitudinally from its original position by an amount u. We shall consider only axial loading and assume that the plane cross sections remain plane, so that u is parallel to the x-axis and is a function of z. We shall assume further that u is infinitesimal, so that the strain in the wire is
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Unformatted text preview: The change in cross-sectional dimensions of the wire due to the axial load will be ignored. The wire is assumed to be elastic, and is so thin that all stress components other than the axial may be neglected. Then the axial stress is given by Hookes law dU dX 0 = Ee = E-, in which E is a constant called the Youngs modulus of elasticity. Now consider an element of the wire of a small length dx (see Fig. 1.6:2). The...
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This note was uploaded on 01/04/2012 for the course ENG 501 taught by Professor Thomson during the Fall '05 term at MIT.

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