Structures - Nodal Analysis Practice

Here is the practice question we did today:

 

First of all we can find the reaction of the roller using moments:

 

Then I took the top node first to do nodal analysis:

Then I moved down.  C is clearly redundant as e and a act in a straight line and if you remove c you still have a triangle. (If there was an external load at this node then that would effect the internal forces in C and it would no longer be redundant.)

I moved down again to work out the force in d.

I could then look at the last node to find the reaction of the hinge.