jmiec,
I also use Mathcad whenever I can because after the checker looks everything over, all I have to do is change one or two values and the whole thing updates itself. My only regret with Mathcad is that I can't easily place sketches in the work. If I did more projects that were similar geometry, I could smoke some work with all the little worksheets I have now.
Like you, I basically do everything possible by hand. I have been working on a Mathcad worksheet that analyzes a straight multispan girder with varying moment of inertia. It is fairly far along but still has a way to go. We use Mathcad 2000 Pro here in my office, and I have a copy of Mathcad 7 Pro at home.
The secret to solving this problem (say your three span continuous girder) is to realize that it can be formulated using a stiffness model with only two indeterminant degrees of freedom. Once you have the end rotations, you can immediately obtain the end moments for a specific load combination. With the end moments, everything else is analyzing a simply supported beam.
The key to getting the problem down to two DOF is eliminating the nodes where discrete changes occur in the MOI. You can accomplish this using the Hardy Cross Column Analogy. This is a method where a beam vith varying MOI can be reformulated as an equivalent beam with differing rotational stiffness at each end (e.g. the stiffness of the new beam will not be 4EI/L at each end as it is with a prismatic beam). With the rotational stiffness, the remaining translational stiffness and coupling values can be computed directly from the equations for static equilibrium.
Anyway, when you can reduce the problem to so few DOF, you find there are not so many load combinations to worry about. I have conquered the moment design portion and I am working on the fatigue stress and shear portion of the design.
Unfortunately, I have spent many hours on this, much of it my own time and I am not inclined to give the thing away. But if you know what the Hardy Cross Column Analogy is and know how to use Mathcad and the stiffness method, you can make a worksheet to do the same thing.
Good Luck - Ed