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The differential equation satisfied by a beam uniformly loaded (W kg/metre), with one end fixed and the second end subjected to tensile force P,

The differential equation satisfied by a beam uniformly loaded (W kg/metre), with one end fixed and the second end subjected to tensile force P, is given by d E.I.S = Py - - Wx dx Show that the elastic curve for the beam with conditions dy y = 0= at x = 0, is given by dx y= W Pn Wx P (1-cosh nx) +- where n = 2P EI

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