i dont know of a formula,, I just use trail and error,,
I find the length and spine that shoots well by trying lots of arrows, and then duplicate that arrow ,,,
was shooting a short draw bow the other day,,, bout 50@ 20 inches,, I shot a cedar shaft that was about 55# spine 28 inches,, with no tip,, it shot great,, go figure,,
I feel like I could have put a light stone tip on it and had good results,,,