(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Construct the slope and deflection diagrams. I've attached the problem with the original diagram (problem #1).

3. The attempt at a solution

Considering the number of diagrams required, I thought it would be best to attach a photo of my work.

I drew the shear and moment diagrams for the original beam, with equations for V and M as follows:

V = {150 (0<x<3), -75x (3<x<5)

M = {150x (0<x<3), -75/2*x^{2}+ 375x (3<x<5)

I then drew the conjugate beam, which is essentially a mirror image of the original beam. I then loaded it with M/EI, where M is the moment from the original beam. Now, I know I need to draw the shear and moment diagrams for the conjugate beams, and these will be the slope and deflection diagrams. I'm just not sure how to go about this, considering the complicated loading.

Also, for another problem, I am told to find the max deflection. Is there a way to do this without constructing the shear and moment diagrams(for the conjugate beam)?

Thank you.

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# Slope and deflection diagrams using conjugate beam method

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