# Beam Reaction Problem With Hinged Joints

The problem was assigned in my Structural Analysis class, and I am having some difficulty with it.

My professor said the problem is "very easy" if we just think about what the fixed end moment on a cantilever is. However, I don't see how this is relevant considering the member ACE is not a cantilever...

The only other way I see to do this is using the moment distribution method, but I'm uncertain as to what happens with the internal hinges; we've never had a problem like this in class, and there is no relevant example in my textbook. Any suggestions?

• I'm not sure if this qualifies as a duplicate, but this question (and the requisite solution) is very similar to a previous one. – Wasabi Dec 5 '15 at 20:09
• It actually seems pretty different. That problem was statically determinate I believe. – WGD Dec 5 '15 at 22:13
• @WGD, yes, but the essential trick to solving it can be seen in its answer (which is the same as suggested by CableStay in their answer below). You can "split" the structure into three segments: from the fixed end to the first hinge (which is equivalent to an indeterminate fixed-and-pinned beam with a concentrated load at its end), an isostatic beam between the hinges and a simply supported beam as of the second hinge (which you don't even need to solve in this case). – Wasabi Dec 5 '15 at 23:58