Kieran88:
The best guidance I can give you is that you should be talking with your boss about this problem. He should know what you don’t know about this topic and problem, so as to keep you and the company from making serious errors and out of trouble with whoever would use this crane. This is not a trivial problem or project, and sizing of the beam may be the least significant part of the problem. He/she should find you a mentor or advisor, maybe him/herself, who can sit with you and do sketches, and have back and forth discussions about the critical aspects of this design project. And you, on your own accord, should invest in some text books on Strength of Materials and Statics and simple Structures to make yourself smart enough to tackle a problem like this. No good ever comes from pretending you know what you are doing on this kind of project, when you so obviously don’t. Do not try to fool your boss about what you know, by coming here for answers or worse yet, partial answers, and then presenting them as your own, when you don’t have some idea if they are right or wrong, or have considered all the important aspects of the design problem.
A few questions for you... Why not make the upper diag. member a tension member, then the beam won’t be a cantilever? What kinds of bolts, what kind of wall, is the wall strong enough to hold this crane? Might not the beam be two channels back to back, then the tip sheave and the sheave near the wall and the lifting cable can be between the channels and out-of-the-way, and down the wall to a winch? Should this crane pivot at the wall so as to store against the wall when not in use? Should you provide a vertical steel member at the wall for all of your parts to be fixed to, and then bolt this whole system to the wall as a unit?
We all need help as we start out, so don’t be embarrassed about that. Don’t call yourself an engineer if you are not. And, don’t B.S. your boss about what you can do, unless you can do. And, even then, there will still be questions about the finer points of the design, or best parts suppliers, grades of materials, etc.