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The A.I.S.C. ( American Institute of Steel Construction ) handbook would give you shapes and sizes. Ex. W10 x 20 = W Shape designation 10 = 10" web 20 = 20lbs per foot. That is how the shapes and sizes are described. Do yourself a favor, take the all existing conditions, proposed new construction and have a licensed professional engineer check the span as it will be built. If you need a low profile beam with a shorter web, wider flange for height considerations mention that, but a conventional shape should work. Detail this for the engineer, provide the maximum live loads you would impose on the span, besides any building structure loads, include weights of rigging, like a chainfall or motorized hoist. If you are going to use the member for a specialized hoist, you may want to check the shape you plan to use, against what it requires, say like a trolley arrangement, even a beam clamp, just to be sure and make sure the engineer gets the same information. When said and done, clearly label both sides of the member with it's maximum load so that there is no mistake about what can and cannot be hoisted. Some people balk at this, that is fine, do as you like, but for what an engineer would charge for this straight forward analysis, calculations etc. and having concise knowledge of the load capacity including the safety margin built in, I think it's well worth it, why guess or create something that could be a danger to you or someone else years down the road.
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