Funny this should come up since I was playing with some numbers on friday. Based upon a working limb dimension of 1-1/4 x .70 inches just past the fade, if I want a handle 4x as stiff it should be 3/4 x 1-1/8, if 2x as stiff then 3/4 x 1.00, if 1.5x as stiff then 3/4 x 7/8. Basically, the ratio of the moments will decide the relative stiffness. (these are all approximates)
B1 x H1^3 x R = B2 x H2^3 ( R is the stifness ratio, B is width, H is thickness, 1 is limb, 2 is handle)
For bendy handles, my bows work out to R = 2, stiff handles are R >= 4.
Ken