I edited this post to correct a moment equation problem:
The strength of the beam and allowable load is a simple math problem, but as pointed out by numerous others, the truss strength is not.
for a simple beam of 24 feet supported by 3 trusses 12 feet apart, the math goes like this:
Fb=mc/I
m=13/64 Pl for beam spanning 3 trusses, where l = 12 feet (144 inches) between trusses with load halfway between 2 trusses, which is the loading where the maximum moment will occur.
for 8x10 w beam (lightest 8" beam available), s = I/c = 7.8 in^3 All other 8" beams will carry more load.
for steel beam, allowable bending stress = 24 ksi
substituting values and solving for P:
Fb=mc/I
m=13/64 Pl for beam spanning 3 trusses, where l = 12 feet (144 inches) between trusses
for 8x10 w beam, s = I/c = 7.8 in^3
for steel beam, allowable bending stress = 24 ksi
substituting values and solving for P:
24000= 13/64 P 144/7.8
P=24000(7.8)/((13/64)144
P=6400 lbs
So, an 8" beam can support a maximum of 6400 pounds with no factor of safety other than using the allowable strength. Allowable strength is not the accepted method of calculating this anymore, but for illustration purposes, it is probably okay. If I was really designing this, I'd use a LRFD design process instead. This is not sound engineering advice, just a math problem, for our amusement.
I neglected the weight of the beam itself and the trolley/hoist.
The beam itself weighs 120 pounds between supports, so you will lose most of that from your safe lifting weight. The trolley and hoist probably weighs another 200
So, your allowable would be about 6000 pounds, if the trusses would support it. I'd guess that the trusses can support only a tiny fraction of that weight.
So, for most normal loads, the beam will not be the controlling factor. The trusses definitely will. Your welds may or may not affect the outcome, with care and a gusset plate, I think you could keep most of the beam strength. Would be hard to accurately predict, I'd reduce it by a factor of at least 50% to be safe.
So, in general, the advice I would give is:
Have the system strength calculated by someone in the know that actually looks at the trusses, the beam, and the whole support system. First step is get true load capacity of the bottom chord of the trusses. The beam will probably not be the limiting factor, and the weld may not be. Connections of the beam to the trusses will also have to be appropriately designed.