Welcome to Trad Gang, Mark.
I can give you some measurements taken from bamboo/wood tri-lams that I have built. I can't give you an exact formula because they all come out a bit different from one another, but it should help you to get close to what you're looking for. I build my longbows with a bamboo back and belly and a wood core. I have used bamboo for the core, but it made for a sluggish shooter.
Starting with the back, I will flatten a bamboo slat on my jointer ( carefully!), then taper it so that it is 1/8" thick in the center and 1/16" thick at the ends. A belt sander will do this as well, but I am comfortable doing it on the jointer. Draw the bow's profile on this and cut it to shape. I like my bows to be 1 3/8" wide and taper after the fades to 1/2" or a bit less when finished, so for now I taper it to 5/8" at the tips. I prepare the belly slats next. After flattening my belly slat, I take it outside and burn the outer face black with a torch. Once it cools, you will notice that it has cupped backwards. That's ok. Flatten it again. I find that this reduces the crown of the natural bamboo and the blackening ( I'm told by better bowyers than myself ) adds resilience to the belly. I cut my belly slats in half so that I can run them up the fadeout ramps of the riser.
I have made cores out of many woods. I look for something inherently strong and springy. Hard maple, hickory, yew, black walnut, purple heart, jatoba, etc. My favorite shooter has a cherry core. The core thickness is the biggest variable as two pieces of the same type of wood can have very different properties. I make the core 1/4" to 5/16" thick and I will taper it to about half of that at the tips. I leave the core and belly full width until the bow is glued up.
I also like to include a thin power lam between the back and core. I make it 1/8" thick and taper it to 0 and make it 4" longer than the riser.
I don't have much of a form, since the bamboo belly won't conform to one anyway. I use a straight beam with a raised area in the center where I clamp the riser, and posts at each end to give the bow it's reflex. Two large parallel jaw clamps pull the mid limbs down to the beam for deflex.
For glue, I have used EA40, Unibond and Titebond3. They all work well but I prefer TB3 for it's simplicity and water cleanup.
I have a couple of bows I can measure for you. #1 is 67" tip to tip, 65"NTN, 1 3/8" wide, 1/2" at the tips, 1/4" hickory core, tapering to 1/8", 19" riser and a 23" walnut power lam. It also has tip wedges made of walnut 8"long tapering from 0 to 1/16". This bow draws 65# @ 28".
#2 is 68" tip to tip, 66"NTN, 1 3/8" wide tapering to 1/2", 5/16" cherry core with no power lam or tip wedges, and a 17" riser. This one draws 57# @ 28".
I have a third bow here that I can measure. It's incomplete, so I can only guess at it's draw weight which feels like mid 50# range. It is 65" NTN and should be 67"tip to tip when finished, 1/4" maple core tapering to 1/8", 1/8" osage power lam 24" long over an 18" riser and also 8" by 1/16" tip wedges.
You are going to need a bit of trial and error to get your target weight at your draw length, but I hope this helps .
Dave.