Hah, I always thought you might be an inventor, Macro :)
Unfortunately, this is
en.wikipedia.org/wiki/Mu(negative)
To get an exact answer, you would need to specify the maximum allowable beam deflection, as well as dynamic / static loading factor (i.e. how much the load is likely to bounce, which can complicate matters significantly), safety/overdesign margin (depends on application, usually linked to how likely you are to hurt someone?), aging margin, type of beam anchoring at the supported end (simply or continuously supported?), as well as all the other mentioned factors to do with welding workmanship, exact material kind, exact shape, exact leverage length, etc...
I can recommend "Mark's Handbook for Mechanical Engineers" as a good general reference, however, it is just a reference and does rely on a fair amount of general engineering knowledge. Alternatively, and especially if you don't have formal training, try to source a first year Uni structures handbook (either Architecture or Civil Engineering) - such beams are discussed there in good detail.