H 'beams' are actually not beams at all, they're columns or more correctly referred to as universal columns or UC. They approximate a square in that the length of the flanges and web are similar. I beams are more correctly called universal beams or UB and resemble an I in that the web is longer than the flanges.
UC's are designed to be uprights. They carry loads best that way. UB's will have the same flange width as UC's (so they can be bolted together) but a much longer web and carry their primary load on the web. UB's dont get much thicker in section as they get taller, and dont get much wider in the flange either. They gain their strength by becoming taller in the web which is their primary load axis.
Neither UB's or UC's have much resistance to twist. Clamp or weld a big UB down to something heavy and you can put quite a lot of twist in it with a 6' bar and your bare hands. If you want a section that has good twisting resistance then you can either go to Square Hollow Section (square pipe or SHS) in a similar size, say, 6" SHS or use a Rectangular Hollow Section (RHS) which will be taller for the same width and have better resistance to bending vertically than the same width SHS.
More important than beams vs square vs columns is proper design of your splitter. Look at where the load will be going and how the stress will be put into the machine. Having nice big heavy sections of steel on a machine is generally a good thing, it gives more stability and lasts longer but makes transport hard. A badly designed machine can still be heavy and flex a lot though. You can add a lot of strength to structure with simple gussets and end plates as already noted. Put up some drawings / photos and people can probably point you in the right direction.
Shaun
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