a=
c2-b2=a2
a2+b2=c2x2
a2=b2=c2x2=(string size/length)
key
a= hand to ear distance at full draw
b= half the distance between bow-string notches of the bow at full draw
c= distance from bow-string notch to bow handle center
--still working on this one, i will upload the diagram and it will be obvious--
i reworked a calc i had, but the paper i wrote it on is missing...(i'm having exponential missing pieces of paper issues)--
--here is the above calc, in a new way, that i feel puts a veery fine point on things--
bow tip taper angle calc-
values
1) bow length 48
2)bow thickness at handle= 1
(inches) (# of) (bow length)
(bow length) % (bow tips) = (remainder, handle-to-tip)
48 % 2 = 24
(inches) (inches)
(handle-to-tip) (handle-to-tip)
(length) (degrees) (remainder)
24 - 30 = 6
(inches) (inches)
(handle side-) (handles side-thickness)
(thickness) - (degrees) = (remainder)
1 - 30 = 29
(inches) (inches) (degrees)
(handle side-thickness) (handle-to-tip) (bow-tip)
(remainder) (remainder) (taper angle)
29 + 6 = 35
calc for correcting bow tip-taper for tip thickness--
the thickness at the tip must be added to correct the taper angle-- i estimated 15 instead of 35--
here are the not-so-rough numbers--
(inches)
(bow tip)
(inches) (side-thickness)
(bow tip side-thickness) - (degrees) = (remainder)
.25 30 29.75
(degrees)
(inches) (inches) (bow tip)
(bow length) (bow tip) (taper angle)
(remainder, handle to tip) + (side-thickness remainder) = (total remainder)
6 29.75 35.75
i have to re-plug this(35.75) into the calc, and see how it works--
bow taper-value calc--
bow taper = handle diameter - bow tip taper angle x # of tips = taper sq-inches
(inches) (degrees of)
(handle diameter) - (bow tip taper)
(width) - (angle) x ( # of tips) = (taper sq-inches)
1 15 x 2 = 28
(inches) (bow front)
(length) x (# of tips) = (and back sq-inches)
48 2 96
(bow front) (uncorrected total)
(and back sq-inches) + (taper sq-inches) = (amount of taper)
96 28 124
(un-corrected to inches)
total amount of taper calc--
(un-corrected)
(total amount) % (percent) (inches)
(of taper) % 100 = 1.24
bow foot-pounds calc--
(degree) (# of ) (total inches) (inches) (# of ) (un-corrected foot-pounds)
(angle) x (bow tips) + (of taper) x (length) x (bow tips) = (strung bow, full draw)
45 x 2 + 1.24 x 48 x 2 = 8759.04
un-corrected to inches calc--
(correct foot-pounds)
(un-corrected foot-pounds) % (percent) = (strung bow, full draw)
8759.04 % 100 = 87.59
arrow-shaft foot-pounds on release calc--
(foot-pounds) (# of tips+draw point) (foot-pounds against)
(strung bow full-draw) % (points of force) x (# of tips) = (arrow when released)
87.59 % 3 x 2 = 58.39
bow string length, at desired poundage(full draw) calc--
(degrees) (degrees from)
(from bow) (drawn bow)
(hand-hold) (to bow tips) (bow angle differential)
90 - 45 = 45
(# of) (compound)
(angle differential) % (bow tips) (angle differential)
45 % 2 = 22.5
(inches)
(compound) (# of ) (bow to bow-string)
(angle differential) % (bow tips) = (differential)
22.5 % 2 = 11.25
(inches) (inches) (inches)
(bow-string) (total bow) (length of bow-string)
(differential) - (length) = (full poundage, before draw)
11.25 - 48 = 36.75
bow-string calc at full draw w/archers arm-span added--(hand to behind ear distance)
(inches) (inches)
(length of bow-string) (bow-string side of)
(full poundage,before draw) % 2 = (bow-string geometric triangle)
36.75 % 2 = 18.37
(inches)
(inches) (# of) (forward side of bow)
(bow length) % (bow tips) (geometric triangle)
48 % 2 = 24
(inches) (inches)
(forward side of bow) (forward side of bow)
(geometric triangle) - (degrees) = (geometric remainder)
24 - 30 = 6
(inches) (inches)
(bow-string side) (bow-string side)
(of bow-string) (geometric)
(geometric triangle) - (degrees) (remainder)
18.37 - 30 = 11 .62
(inches)
(bow-string side) (inches) (inches)
(geometric) (forward side of bow) (bow hand-to-bow-string)
(remainder) (geometric remainder) = (distance, strung/un-drawn)
11.62 + 6 = 17.62
--subtract (bow-hand-to-bow-string distance, strung/undrawn) from the archers(arm-span) to get full-draw geometric triangle value--
(inches) (inches)
(bow hand-to-bow-string) (inches) (full-draw)
(distance, strung/undrawn) - (archers-span) = (geometric value)
17.62 32 14.38
(inches) (inches)
(full-draw) (full-draw)
(geometric value) - (degrees) = (geometric remainder)
14.38 30 15.62
(inches) (inches)
(bow-string side) (bow-string side)
(of bow-string) (of bow-string)
(geometric triangle) - (degrees) = (geometric remainder)
18.37 - 30 = 11.62
(inches)
(bow-string side) (inches)
(of bow-string) (full-draw) (un-corrected)
(geometric remainder) + (geometric remainder) (bow-string length)
11.62 + 15.62 = 17.24
(un-corrected) (# of ) (correct bow-string length)
(bow-string length) x (bow tips) = (for archers arm-span at full draw)
17.24 x 2 = 34.48
--this completes the calc--
a compound bow-string calc is in the works...more later--
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