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## Homework Statement

The problem statement is as stated in the attached image, For a given E and cross section of both beams, I am to find the reaction at roller E that attaches beam AB and DC

## Homework Equations

There should be stress relation equations and reaction equations. First is to go through the different equations, and then after getting the reaction, the maximum stress at AB will depend directly on the reaction at E - reaction at D.

## The Attempt at a Solution

I was first thinking that I could treat this problem as two separate beams, and after getting the reaction forces at point B and point D, I can relate it with the deflection equation, saying

δe=δab+δdc . But then, how would I express the material properties of e?

I then thought of just listing out the forces -

then it will be Ra-2*5(the distributed force)+Rb+Rd-5+Rc=0, and next will be Re=Rd+Rb. But where will I gain the other 3 equations? Would it come from balancing the moment equations at A, E, and C?

Maybe a step in the right direction will help. thanks!