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Applications of Differential Equations of Second Order 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'y - Py -Wx E.I. dx Show that the elastic curve for the beam with conditions %3D dy at x = 0, is given by dx ア= 0= Wx2 where n2 W ア= (1- cosh nx) + %3D Pn 2P EI

Applications of Differential Equations of Second Order 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'y - Py -Wx E.I. dx Show that the elastic curve for the beam with conditions %3D dy at x = 0, is given by dx ア= 0= Wx2 where n2 W ア= (1- cosh nx) + %3D Pn 2P EI

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.8: Applications Of Vector Spaces
Problem 39E
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Applications of Differential Equations of Second Order 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'y E.I. Ру Wx? dx? Show that the elastic curve for the beam with conditions dy y= 0 = at x = 0, is given by dx W (1 – cosh nx) + Wx where n? 2P 2 EI Pn?
Transcribed Image Text:Applications of Differential Equations of Second Order 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'y E.I. Ру Wx? dx? Show that the elastic curve for the beam with conditions dy y= 0 = at x = 0, is given by dx W (1 – cosh nx) + Wx where n? 2P 2 EI Pn?
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