Derive the equations of the deflection curve for beam ABC, with guided support at A and roller

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Derive the equations of the deflection curve for beam ABC, with guided support at A and roller support at B, supporting a uniform load of intensity q acting on the over-hang portion of the beam (see figure).
Derive the equations of the deflection curve for beam ABC,

Also, determine deflection δC and angle of rotation θC. Use the fourth-order differential equation of the deflection curve (the load equation).

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Mechanics of Materials

ISBN: 978-0495438076

7th edition

Authors: James M. Gere, Barry J. Goodno

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