Code:
#! /bin/awk -f
# above line will automatically execute program under Linux
BEGIN {
#######################################
###
### USER input here
###
#######################################
## set following variable to 1 to do a sanity check on
## parabola computation, else set to 0
## with sanity check on, a finer grid is computed
## for the parabola and the straight line lengths
## between points is computed. As the grid gets finer,
## the straight lengths total should approach closer
## to the integrated value. This check ensures that the
## computations are consistent.
sanity_check = 0;
###
#### English units
#
# head end fabric width in inches
head_end_fabric_width_English = 56.5;
# head end spreader bar length in inches
head_end_spreader_bar_length_English = 0.0;
# foot end fabric width in inches
foot_end_fabric_width_English = 56.0;
# foot end spreader bar length in inches
foot_end_spreader_bar_length_English = 0.0;
# head end length of belly band under hammock, inches
head_end_belly_band_English = 43.75;
# foot end length of belly band under hammock, inches
foot_end_belly_band_English = 44.25;
# head end distance spreader bar to ridge
# line in inches
head_end_spreader_bar_to_ridgeline_English = 16.0;
# foot end distance spreader bar to ridge
# line in inches
foot_end_spreader_bar_to_ridgeline_English = 17.0;
## following user inputs are for computing the
## compression forces on the spreader bars. The
## head end spreader bar is the only that need be
## computed, but both can be done if desired.
## setting all entries at 0.0, will skip the
## compression force computation
## setting head/foot entries to 0.0 will skip
## the corresponding end
# head end suspension triangle side in inches
head_end_suspension_triangle_side_English = 0.0;
# head end distance down hammock arc to measure
# hammock separation in inches
head_end_distance_down_arc_English = 0.0;
# head end hammock separation in inches
head_end_hammock_separation_English = 0.0;
# foot end suspension triangle side in inches
foot_end_suspension_triangle_side_English = 0.0;
# foot end distance down hammock arc to measure
# hammock separation in inches
foot_end_distance_down_arc_English = 0.0;
# foot end hammock separation in inches
foot_end_hammock_separation_English = 0.0;
###
### Metric units
#
# head end fabric width in cm
head_end_fabric_width_metric = 0.0;
# head end spreader bar in cm
head_end_spreader_bar_length_metric = 105.0;
## added to prevent tight fabric
Amount_to_add_to_spreader_bar_metric = 0.0;
# foot end fabric width in cm
foot_end_fabric_width_metric = 0.0;
# foot end spreader bar length in cm
foot_end_spreader_bar_length_metric = 81.7;
# head end length of belly band under hammock, cm
head_end_belly_band_metric = 0.0;
# foot end length of belly band under hammock, cm
foot_end_belly_band_metric = 0.0;
# head end distance spreader bar to ridge line in cm
head_end_spreader_bar_to_ridgeline_metric = 0.0;
# foot end distance spreader bar to ridge line in cm
foot_end_spreader_bar_to_ridgeline_metric = 0.0;
## following user inputs are for computing the compression
## forces on the spreader bars. The head end spreader bar
## is the only that need be computed, but both can be done
## if desired. setting all entries at 0.0, will skip the
## compression force computation setting head/foot entries
## to 0.0 will skip the corresponding end
# head end suspension triangle side in inches
head_end_suspension_triangle_side_metric = 70.0;
# head end distance down hammock arc to measure
# hammock separation in inches
head_end_distance_down_arc_metric = 40.0;
# head end hammock separation in inches
head_end_hammock_separation_metric = 81.3;
# foot end suspension triangle side in inches
foot_end_suspension_triangle_side_metric = 0.0;
# foot end distance down hammock arc to measure
# hammock separation in inches
foot_end_distance_down_arc_metric = 0.0;
# foot end hammock separation in inches
foot_end_hammock_separation_metric = 0.0;
# occupant weight - lbs
W = 175.0;
#
#######################################
###
### END USER INPUT
###
## English/metric conversion
cm_per_inch = 2.54;
## compute parabola depth based on fabric width
## and spreader bar length parabola vertex at origin,
## Focus on positive x-axis
## y^2 = 2px
## arc length == sh/sf
## width == /xf
## use metric system of units - output both metric
## and English
## arc length == s == (y/2)*sqrt(1+y^2/p^2) +
## (p/2)*ln(sqrt(1+y^2/p^2) + y/p)
## evaluate for p at y = half spreader bar length
##
# convert to metric for calculations
if (head_end_fabric_width_English )
sh = head_end_fabric_width_English * cm_per_inch;
else if ( head_end_fabric_width_metric )
sh = head_end_fabric_width_metric;
else {
print("user entry error on Head \
entry fabric width");
exit; }
if ( head_end_spreader_bar_length_English )
xh = head_end_spreader_bar_length_English * cm_per_inch;
else if ( head_end_spreader_bar_length_metric )
xh = head_end_spreader_bar_length_metric;
else {
print("user entry error on Head \
entry spreader bar length");
exit; }
spbl_h = xh;
if ( foot_end_fabric_width_English )
sf = foot_end_fabric_width_English * cm_per_inch;
else if ( foot_end_fabric_width_metric )
sf = foot_end_fabric_width_metric;
else {
print("user entry error on Foot \
entry fabric width");
exit; }
if ( foot_end_spreader_bar_length_English )
xf = foot_end_spreader_bar_length_English * cm_per_inch;
else if ( foot_end_spreader_bar_length_metric )
xf = foot_end_spreader_bar_length_metric;
else {
print("user entry error on Foot \
entry spreader bar length");
exit; }
spbl_f = xf;
if ( head_end_belly_band_English )
he_bb = head_end_belly_band_English * cm_per_inch;
else if ( head_end_belly_band_metric )
he_bb = head_end_belly_band_metric;
else {
print("user entry error on Head \
entry Belly Band length");
exit; }
if ( foot_end_belly_band_English )
fe_bb = foot_end_belly_band_English * cm_per_inch;
else if ( foot_end_belly_band_metric )
fe_bb = foot_end_belly_band_metric;
else {
print("user entry error on Foot \
entry Belly Band length");
exit; }
if ( head_end_spreader_bar_to_ridgeline_English )
h_sbr_rl = head_end_spreader_bar_to_ridgeline_English * cm_per_inch;
else if ( head_end_spreader_bar_to_ridgeline_metric )
h_sbr_rl = head_end_spreader_bar_to_ridgeline_metric;
else {
print("user entry error on Head entry\
spreader bar to ridge line");
exit; }
if ( foot_end_spreader_bar_to_ridgeline_English )
f_sbr_rl = foot_end_spreader_bar_to_ridgeline_English * cm_per_inch;
else if ( foot_end_spreader_bar_to_ridgeline_metric )
f_sbr_rl = foot_end_spreader_bar_to_ridgeline_metric;
else {
print("user entry error on Foot entry \
spreader bar to ridge line");
exit; }
# check if computing compression forces - head end
if ( (head_end_suspension_triangle_side_English ||
head_end_suspension_triangle_side_metric ) &&
(head_end_distance_down_arc_English ||
head_end_distance_down_arc_metric) &&
(head_end_hammock_separation_English ||
head_end_hammock_separation_metric) ) {
if ( head_end_suspension_triangle_side_English )
sts = head_end_suspension_triangle_side_English * cm_per_inch;
else if ( head_end_suspension_triangle_side_metric )
sts = head_end_suspension_triangle_side_metric;
else sts = 0.0;
if ( head_end_distance_down_arc_English )
dda = head_end_distance_down_arc_English * cm_per_inch;
else if ( head_end_distance_down_arc_metric )
dda = head_end_distance_down_arc_metric;
else dda = 0.0;
if ( head_end_hammock_separation_English )
hs = head_end_hammock_separation_English * cm_per_inch;
else if ( head_end_hammock_separation_metric )
hs = head_end_hammock_separation_metric;
else hs = 0.0;
# compute compression force on spreader bar
beta = acos( spbl_h / (2*sts));
hh = (spbl_h/2)*tan(beta);
gamma = asin((spbl_h - hs) / (2 * dda));
# Lf = (W*hh)/(2*h_sbr_rl);
Cl = (W*hh)/((4*h_sbr_rl)*tan(beta));
Cw = (W*hh*tan(gamma))/(4*h_sbr_rl);
printf("Compression on Head End spreader bar due \
to suspension triangle: %.1f lbs\n",2 * Cl);
printf("Compression on Head End spreader bar due \
to webbing: %.1f lbs\n",2 * Cw);
printf("Total Compression force on Head End \
spreader bar: %.1f lbs\n\n",2*(Cl+Cw));
} else { printf("Head End spreader bar compression \
forces not computed\n\n"); }
# check if computing compression forces - foot end
if ( (foot_end_suspension_triangle_side_English ||
foot_end_suspension_triangle_side_metric) &&
(foot_end_distance_down_arc_English ||
foot_end_distance_down_arc_metric) &&
(foot_end_hammock_separation_English ||
foot_end_hammock_separation_metric) ) {
if ( foot_end_suspension_triangle_side_English )
sts = foot_end_suspension_triangle_side_English * cm_per_inch;
else if ( foot_end_suspension_triangle_side_metric )
sts = foot_end_suspension_triangle_side_metric;
else sts = 0.0;
if ( foot_end_distance_down_arc_English )
dda = foot_end_distance_down_arc_English * cm_per_inch;
else if ( foot_end_distance_down_arc_metric )
dda = foot_end_distance_down_arc_metric;
else dda = 0.0;
if ( foot_end_hammock_separation_English )
hs = foot_end_hammock_separation_English * cm_per_inch;
else if ( foot_end_hammock_separation_metric )
hs = foot_end_hammock_separation_metric;
else hs = 0.0;
# compute compression force on spreader bar
beta = acos( spbl_h / (2*sts));
hh = (spbl_h/2)*sin(beta)/cos(beta);
gamma = asin((spbl_h - hs) / (2 * dda));
# Lf = (W*hh)/(2*h_sbr_rl);
Cl = (W*hh)/((4*h_sbr_rl)*(sin(beta)/cos(beta)));
Cw = (W*hh*(sin(gamma)/cos(gamma)))/(4*h_sbr_rl);
printf("Compression on Foot End spreader bar due \
to suspension triangle: %.1f lbs\n",2 * Cl);
printf("Compression on Foot End spreader bar due \
to webbing: %.1f lbs\n",2 * Cw);
printf("Total Compression force on Foot End \
spreader bar: %.1f lbs\n",2*(Cl+Cw));
} else { printf("Foot End spreader bar compression \
forces not computed\n\n"); }
## compute depth for matching arc length within following
## tolerance - this should close enough for even the most
## fastidious
tolerance = .001; ## 0.1 mm == 1/25400" == 0.00003937"
## use parabola for end panel. compute parabola from
## x^2 = 2py
## dy/dx = x/p
## arc length, s = integral[sqrt(1 + (dy/dx)^2]
## s = integral[sqrt(1 + (x/p)^2]
## arc length, s, for parabola from origin to x:
## Thanks for table of indefinite integrals
## s = (x/2)sqrt((x/p)^2 + 1) +
## (p/2)ln((x/p) + sqrt((x/p)^2 + 1)
## need to determine p such that s is equal to half of fabric
## width:
## sh/2or s/2
##
xh /= 2;
sh /= 2;
# debugging output
# printf("header max x: %.4f cm, %.4f inch\nheader \
# arc length: %.4f cm, %.4f inch\n",
# xh,
# xh / cm_per_inch,
# sh,
# sh / cm_per_inch);
## search for p until arc length is greater than half fabric width
## decrement increment and try again. Keeping decrementing increment
## until arc length is within tolerance
incr = 1.0;
for ( ph = 3.0 ; ph < 50.0 ; ph += incr ) {
intermed = sqrt(1 + (xh/ph)^2);
arc_h = ((xh/2) * intermed) +
(ph/2) * log((xh/ph) + intermed);
## debuging output
## printf("arc_head = %.6f, ph = %.6f, \
## increment = %.6f\n",
## arc_h,
## ph,
## incr);
if ( arc_h < sh ) {
if ( abs(arc_h - sh) <= tolerance ) break;
ph -= incr;
incr /= 2.0;
}
}
## debuging output
## printf("arc_head = %.6f/%.6f, \
## ph = %.6f\n\n",
## arc_h,
## arc_h/cm_per_inch,
## ph);
xf /= 2;
sf /= 2;
## debuging output
## printf("footer max x: %.4f cm, \
## %.4f inch\nfooter arc \
## length: %.4f cm, %.4f inch\n",
## xf,
## xf / cm_per_inch,
## sf,
## sf / cm_per_inch);
## search for p until arc length is greater than half fabric width
## decrement increment and try again. Keeping decrementing increment
## until arc length is within tolerance
incr = 1.0;
for ( pf = 3.0 ; pf < 30.0 ; pf += incr ) {
intermed = sqrt(1 + (xf/pf)^2);
arc_h = (xf/2) * intermed +
(pf/2) * log((xf/pf) + intermed);
## debuging output
## printf("arc_foot = %.6f, \
## pf = %.6f, \
## increment = %.6f\n",
## arc_h,
## pf,
## incr);
if ( arc_h < sf ) {
if ( abs(arc_h - sf) <= tolerance ) break;
pf -= incr;
incr /= 2.0;
}
}
## debuging output
## printf("arc_foot = %.6f/%.6f, \
## pf = %.6f\n",
## arc_h,
## arc_h/cm_per_inch,
## pf);
## compute parabola: x^2 = 2py
# head end fixed point
yh = (xh^2)/(2*ph);
## printf("Head Arc depth: %.3f/%.2f\n",
## yh,
## yh/cm_per_inch);
## foot fixed point
yf = (xf^2)/(2*pf);
## printf("Foot Arc depth: %.3f/%.2f\n",
## yf,
## yf/cm_per_inch);
# print header information
printf("Head draft stopper.\n\
spreader bar length: %.2f cm, %.1f inch\n\
spreader bar to ridge line: %.2f cm, %.1f inch\n\
Fabric width: %0.2f cm, %0.1f inch\n\
Belly Band: %.2f cm, %.2f inches\n",
spbl_h,
spbl_h / cm_per_inch,
h_sbr_rl,
h_sbr_rl / cm_per_inch,
sh * 2,
(sh * 2)/ cm_per_inch,
he_bb,
he_bb / cm_per_inch);
printf("Head parabola. x^2 = 2py, p == %.6f\n\
output = cm/inch\n\
Depth == %.3f/%.2f\n",
ph,
yh,
yh/cm_per_inch);
## x^2 = 2py
## compute head parabola shape at 1 cm increments for depth, y
## to do a sanity check on calculations, use a small increment
## and calculate accumulated straight line distances
if ( sanity_check ) {
incr = 0.1;
xo = yo = 0.0;
accum_len = 0.0;
} else {
incr = 1.0;
}
for ( y = incr ; y < 6.0 ; y += incr ) {
x = sqrt(2 * ph * y);
if ( sanity_check ) {
accum_len += sqrt((x-xo)^2 + (y - yo)^2);
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f : \
accum_len = %6.3f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch,
accum_len);
xo = x;
yo = y;
} else {
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch);
}
}
## compute head parabola shape at 5 cm increments for depth, y
if ( sanity_check ) {
incr = 0.5;
} else {
incr = 5.0;
}
for ( y = 10.0 ; y < yh ; y += incr ) {
x = sqrt(2 * ph * y);
if ( sanity_check ) {
accum_len += sqrt((x-xo)^2 + (y - yo)^2);
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f : \
accum_len = %6.3f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch,
accum_len);
xo = x;
yo = y;
} else {
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch);
}
}
# compute and print values for end points
if ( sanity_check ) {
accum_len += sqrt((xh-xo)^2 + (yh - yo)^2);
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n\
Straight line arc length: %.6f/%.6f\n",
yh,
yh / cm_per_inch,
xh,
xh / cm_per_inch,
2 * accum_len,
2 * accum_len / cm_per_inch);
} else {
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n",
yh,
yh / cm_per_inch,
xh,
xh / cm_per_inch);
}
# print header information
printf("\nFoot draft stopper.\n\
spreader bar length: %.2f cm, %.1f inch\n\
spreader bar to ridge line: %.2f cm, %.1f inch\n\
Fabric width: %0.2f cm, %0.1f inch\n\
Belly Band length: %.2f cm, %.2f inches\n",
spbl_f,
spbl_f / cm_per_inch,
f_sbr_rl,
f_sbr_rl / cm_per_inch,
sf * 2,
(sf * 2) / cm_per_inch,
fe_bb,
fe_bb / cm_per_inch);
printf("Foot parabola. x^2 = 2py, p == %.6f\n\
output = cm/inch\n\
Depth == %.3f/%.2f\n",
pf,
yf,
yf/cm_per_inch);
## x^2 = 2py
## compute foot parabola shape at 1 cm increments for depth, y
if ( sanity_check ) {
incr = 0.1;
accum_len = 0.0;
} else {
incr = 1.0;
}
for ( y = incr , xo = yo = 0.0 ; y < 6.0 ; y += incr ) {
x = sqrt(2 * pf * y);
if ( sanity_check ) {
accum_len += sqrt((x-xo)^2 + (y - yo)^2);
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f : \
accum_len = %6.3f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch,
accum_len);
xo = x;
yo = y;
} else {
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch);
}
}
## compute foot parabola shape at 5 cm increments for depth, y
if ( sanity_check ) {
incr = 0.5;
} else {
incr = 5.0;
}
for ( y = 10.0 ; y < yf ; y += incr ) {
x = sqrt(2 * pf * y);
if ( sanity_check ) {
accum_len += sqrt((x-xo)^2 + (y - yo)^2);
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f : \
accum_len = %6.3f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch,
accum_len);
xo = x;
yo = y;
} else {
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n",
y,
y / cm_per_inch,
x,
x / cm_per_inch);
}
}
# compute and print values for end points
## x = sqrt(2 * pf * yf);
## y -= incr;
if ( sanity_check ) {
accum_len += dl = sqrt((xf - xo)^2 + (yf - yo)^2);
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n\
Straight line arc length: %.6f/%.6f\n",
yf,
yf / cm_per_inch,
x,
x / cm_per_inch,
2 * accum_len,
2 * accum_len / cm_per_inch);
} else {
printf("y = %6.3f/%6.2f : x = %6.3f/%6.2f\n",
yf,
yf / cm_per_inch,
x,
x / cm_per_inch);
}
}
function tan(x) {
return sin(x)/cos(x);
}
function abs(x) {
return (x >= 0.0) ? x : -x;
}
**********************
Sample output for my Bridge Hammock with sanity check turned off:
=================================================================
Compression on Head End spreader bar due to suspension triangle: 113.0
lbs
Compression on Head End spreader bar due to webbing: 30.9 lbs
Total Compression force on Head End spreader bar: 144.0 lbs
Foot End spreader bar compression forces not computed
Head draft stopper.
spreader bar length: 105.00 cm, 41.3 inch
spreader bar to ridge line: 40.64 cm, 16.0 inch
Fabric width: 143.51 cm, 56.5 inch
Belly Band: 111.12 cm, 43.75 inches
Head parabola. x^2 = 2py, p == 30.985352
output = cm/inch
Depth == 44.477/17.51
y = 1.000/ 0.39 : x = 7.872/ 3.10
y = 2.000/ 0.79 : x = 11.133/ 4.38
y = 3.000/ 1.18 : x = 13.635/ 5.37
y = 4.000/ 1.57 : x = 15.744/ 6.20
y = 5.000/ 1.97 : x = 17.603/ 6.93
y = 10.000/ 3.94 : x = 24.894/ 9.80
y = 15.000/ 5.91 : x = 30.489/ 12.00
y = 20.000/ 7.87 : x = 35.205/ 13.86
y = 25.000/ 9.84 : x = 39.361/ 15.50
y = 30.000/ 11.81 : x = 43.118/ 16.98
y = 35.000/ 13.78 : x = 46.572/ 18.34
y = 40.000/ 15.75 : x = 49.788/ 19.60
y = 44.477/ 17.51 : x = 52.500/ 20.67
Foot draft stopper.
spreader bar length: 81.70 cm, 32.2 inch
spreader bar to ridge line: 43.18 cm, 17.0 inch
Fabric width: 142.24 cm, 56.0 inch
Belly Band length: 112.39 cm, 44.25 inches
Foot parabola. x^2 = 2py, p == 15.362549
output = cm/inch
Depth == 54.311/21.38
y = 1.000/ 0.39 : x = 5.543/ 2.18
y = 2.000/ 0.79 : x = 7.839/ 3.09
y = 3.000/ 1.18 : x = 9.601/ 3.78
y = 4.000/ 1.57 : x = 11.086/ 4.36
y = 5.000/ 1.97 : x = 12.395/ 4.88
y = 10.000/ 3.94 : x = 17.529/ 6.90
y = 15.000/ 5.91 : x = 21.468/ 8.45
y = 20.000/ 7.87 : x = 24.789/ 9.76
y = 25.000/ 9.84 : x = 27.715/ 10.91
y = 30.000/ 11.81 : x = 30.360/ 11.95
y = 35.000/ 13.78 : x = 32.793/ 12.91
y = 40.000/ 15.75 : x = 35.057/ 13.80
y = 45.000/ 17.72 : x = 37.184/ 14.64
y = 50.000/ 19.69 : x = 39.195/ 15.43
y = 54.311/ 21.38 : x = 40.850/ 16.08
================================================================
Sample output for my Bridge Hammock with sanity check turned on:
================================================================
Compression on Head End spreader bar due to suspension triangle: 113.0
lbs
Compression on Head End spreader bar due to webbing: 30.9 lbs
Total Compression force on Head End spreader bar: 144.0 lbs
Foot End spreader bar compression forces not computed
Head draft stopper.
spreader bar length: 105.00 cm, 41.3 inch
spreader bar to ridge line: 40.64 cm, 16.0 inch
Fabric width: 143.51 cm, 56.5 inch
Belly Band: 111.12 cm, 43.75 inches
Head parabola. x^2 = 2py, p == 30.985352
output = cm/inch
Depth == 44.477/17.51
y = 0.100/ 0.04 : x = 2.489/ 0.98 : accum_len = 2.491
y = 0.200/ 0.08 : x = 3.521/ 1.39 : accum_len = 3.527
y = 0.300/ 0.12 : x = 4.312/ 1.70 : accum_len = 4.325
y = 0.400/ 0.16 : x = 4.979/ 1.96 : accum_len = 4.999
y = 0.500/ 0.20 : x = 5.566/ 2.19 : accum_len = 5.595
y = 0.600/ 0.24 : x = 6.098/ 2.40 : accum_len = 6.136
y = 0.700/ 0.28 : x = 6.586/ 2.59 : accum_len = 6.635
y = 0.800/ 0.31 : x = 7.041/ 2.77 : accum_len = 7.100
y = 0.900/ 0.35 : x = 7.468/ 2.94 : accum_len = 7.539
y = 1.000/ 0.39 : x = 7.872/ 3.10 : accum_len = 7.955
y = 1.100/ 0.43 : x = 8.256/ 3.25 : accum_len = 8.352
y = 1.200/ 0.47 : x = 8.624/ 3.40 : accum_len = 8.733
y = 1.300/ 0.51 : x = 8.976/ 3.53 : accum_len = 9.099
y = 1.400/ 0.55 : x = 9.314/ 3.67 : accum_len = 9.452
y = 1.500/ 0.59 : x = 9.641/ 3.80 : accum_len = 9.794
y = 1.600/ 0.63 : x = 9.958/ 3.92 : accum_len = 10.126
y = 1.700/ 0.67 : x = 10.264/ 4.04 : accum_len = 10.448
y = 1.800/ 0.71 : x = 10.562/ 4.16 : accum_len = 10.762
y = 1.900/ 0.75 : x = 10.851/ 4.27 : accum_len = 11.068
y = 2.000/ 0.79 : x = 11.133/ 4.38 : accum_len = 11.367
y = 2.100/ 0.83 : x = 11.408/ 4.49 : accum_len = 11.660
y = 2.200/ 0.87 : x = 11.676/ 4.60 : accum_len = 11.946
y = 2.300/ 0.91 : x = 11.939/ 4.70 : accum_len = 12.227
y = 2.400/ 0.94 : x = 12.195/ 4.80 : accum_len = 12.503
y = 2.500/ 0.98 : x = 12.447/ 4.90 : accum_len = 12.773
y = 2.600/ 1.02 : x = 12.693/ 5.00 : accum_len = 13.039
y = 2.700/ 1.06 : x = 12.935/ 5.09 : accum_len = 13.301
y = 2.800/ 1.10 : x = 13.173/ 5.19 : accum_len = 13.558
y = 2.900/ 1.14 : x = 13.406/ 5.28 : accum_len = 13.812
y = 3.000/ 1.18 : x = 13.635/ 5.37 : accum_len = 14.062
y = 3.100/ 1.22 : x = 13.860/ 5.46 : accum_len = 14.309
y = 3.200/ 1.26 : x = 14.082/ 5.54 : accum_len = 14.552
y = 3.300/ 1.30 : x = 14.300/ 5.63 : accum_len = 14.792
y = 3.400/ 1.34 : x = 14.516/ 5.71 : accum_len = 15.029
y = 3.500/ 1.38 : x = 14.727/ 5.80 : accum_len = 15.264
y = 3.600/ 1.42 : x = 14.936/ 5.88 : accum_len = 15.495
y = 3.700/ 1.46 : x = 15.142/ 5.96 : accum_len = 15.724
y = 3.800/ 1.50 : x = 15.346/ 6.04 : accum_len = 15.951
y = 3.900/ 1.54 : x = 15.546/ 6.12 : accum_len = 16.175
y = 4.000/ 1.57 : x = 15.744/ 6.20 : accum_len = 16.397
y = 4.100/ 1.61 : x = 15.940/ 6.28 : accum_len = 16.617
y = 4.200/ 1.65 : x = 16.133/ 6.35 : accum_len = 16.834
y = 4.300/ 1.69 : x = 16.324/ 6.43 : accum_len = 17.050
y = 4.400/ 1.73 : x = 16.513/ 6.50 : accum_len = 17.263
y = 4.500/ 1.77 : x = 16.699/ 6.57 : accum_len = 17.475
y = 4.600/ 1.81 : x = 16.884/ 6.65 : accum_len = 17.685
y = 4.700/ 1.85 : x = 17.066/ 6.72 : accum_len = 17.893
y = 4.800/ 1.89 : x = 17.247/ 6.79 : accum_len = 18.099
y = 4.900/ 1.93 : x = 17.426/ 6.86 : accum_len = 18.304
y = 5.000/ 1.97 : x = 17.603/ 6.93 : accum_len = 18.507
y = 5.100/ 2.01 : x = 17.778/ 7.00 : accum_len = 18.709
y = 5.200/ 2.05 : x = 17.951/ 7.07 : accum_len = 18.909
y = 5.300/ 2.09 : x = 18.123/ 7.14 : accum_len = 19.108
y = 5.400/ 2.13 : x = 18.293/ 7.20 : accum_len = 19.305
y = 5.500/ 2.17 : x = 18.462/ 7.27 : accum_len = 19.502
y = 5.600/ 2.20 : x = 18.629/ 7.33 : accum_len = 19.696
y = 5.700/ 2.24 : x = 18.794/ 7.40 : accum_len = 19.890
y = 5.800/ 2.28 : x = 18.959/ 7.46 : accum_len = 20.082
y = 5.900/ 2.32 : x = 19.121/ 7.53 : accum_len = 20.273
y = 6.000/ 2.36 : x = 19.283/ 7.59 : accum_len = 20.463
y = 10.000/ 3.94 : x = 24.894/ 9.80 : accum_len = 27.354
y = 10.500/ 4.13 : x = 25.509/ 10.04 : accum_len = 28.146
y = 11.000/ 4.33 : x = 26.109/ 10.28 : accum_len = 28.927
y = 11.500/ 4.53 : x = 26.696/ 10.51 : accum_len = 29.698
y = 12.000/ 4.72 : x = 27.270/ 10.74 : accum_len = 30.460
y = 12.500/ 4.92 : x = 27.832/ 10.96 : accum_len = 31.212
y = 13.000/ 5.12 : x = 28.383/ 11.17 : accum_len = 31.956
y = 13.500/ 5.31 : x = 28.924/ 11.39 : accum_len = 32.693
y = 14.000/ 5.51 : x = 29.455/ 11.60 : accum_len = 33.422
y = 14.500/ 5.71 : x = 29.976/ 11.80 : accum_len = 34.144
y = 15.000/ 5.91 : x = 30.489/ 12.00 : accum_len = 34.860
y = 15.500/ 6.10 : x = 30.993/ 12.20 : accum_len = 35.570
y = 16.000/ 6.30 : x = 31.489/ 12.40 : accum_len = 36.274
y = 16.500/ 6.50 : x = 31.977/ 12.59 : accum_len = 36.973
y = 17.000/ 6.69 : x = 32.458/ 12.78 : accum_len = 37.667
y = 17.500/ 6.89 : x = 32.932/ 12.97 : accum_len = 38.356
y = 18.000/ 7.09 : x = 33.399/ 13.15 : accum_len = 39.040
y = 18.500/ 7.28 : x = 33.859/ 13.33 : accum_len = 39.720
y = 19.000/ 7.48 : x = 34.314/ 13.51 : accum_len = 40.396
y = 19.500/ 7.68 : x = 34.762/ 13.69 : accum_len = 41.067
y = 20.000/ 7.87 : x = 35.205/ 13.86 : accum_len = 41.735
y = 20.500/ 8.07 : x = 35.643/ 14.03 : accum_len = 42.400
y = 21.000/ 8.27 : x = 36.075/ 14.20 : accum_len = 43.060
y = 21.500/ 8.46 : x = 36.502/ 14.37 : accum_len = 43.718
y = 22.000/ 8.66 : x = 36.924/ 14.54 : accum_len = 44.372
y = 22.500/ 8.86 : x = 37.341/ 14.70 : accum_len = 45.023
y = 23.000/ 9.06 : x = 37.753/ 14.86 : accum_len = 45.672
y = 23.500/ 9.25 : x = 38.162/ 15.02 : accum_len = 46.317
y = 24.000/ 9.45 : x = 38.565/ 15.18 : accum_len = 46.960
y = 24.500/ 9.65 : x = 38.965/ 15.34 : accum_len = 47.600
y = 25.000/ 9.84 : x = 39.361/ 15.50 : accum_len = 48.237
y = 25.500/ 10.04 : x = 39.752/ 15.65 : accum_len = 48.873
y = 26.000/ 10.24 : x = 40.140/ 15.80 : accum_len = 49.505
y = 26.500/ 10.43 : x = 40.524/ 15.95 : accum_len = 50.136
y = 27.000/ 10.63 : x = 40.905/ 16.10 : accum_len = 50.764
y = 27.500/ 10.83 : x = 41.282/ 16.25 : accum_len = 51.390
y = 28.000/ 11.02 : x = 41.655/ 16.40 : accum_len = 52.015
y = 28.500/ 11.22 : x = 42.026/ 16.55 : accum_len = 52.637
y = 29.000/ 11.42 : x = 42.393/ 16.69 : accum_len = 53.257
y = 29.500/ 11.61 : x = 42.757/ 16.83 : accum_len = 53.875
y = 30.000/ 11.81 : x = 43.118/ 16.98 : accum_len = 54.492
y = 30.500/ 12.01 : x = 43.475/ 17.12 : accum_len = 55.107
y = 31.000/ 12.20 : x = 43.830/ 17.26 : accum_len = 55.720
y = 31.500/ 12.40 : x = 44.182/ 17.39 : accum_len = 56.332
y = 32.000/ 12.60 : x = 44.532/ 17.53 : accum_len = 56.941
y = 32.500/ 12.80 : x = 44.878/ 17.67 : accum_len = 57.550
y = 33.000/ 12.99 : x = 45.222/ 17.80 : accum_len = 58.157
y = 33.500/ 13.19 : x = 45.563/ 17.94 : accum_len = 58.762
y = 34.000/ 13.39 : x = 45.902/ 18.07 : accum_len = 59.366
y = 34.500/ 13.58 : x = 46.238/ 18.20 : accum_len = 59.969
y = 35.000/ 13.78 : x = 46.572/ 18.34 : accum_len = 60.570
y = 35.500/ 13.98 : x = 46.904/ 18.47 : accum_len = 61.170
y = 36.000/ 14.17 : x = 47.233/ 18.60 : accum_len = 61.768
y = 36.500/ 14.37 : x = 47.560/ 18.72 : accum_len = 62.366
y = 37.000/ 14.57 : x = 47.884/ 18.85 : accum_len = 62.962
y = 37.500/ 14.76 : x = 48.207/ 18.98 : accum_len = 63.557
y = 38.000/ 14.96 : x = 48.527/ 19.11 : accum_len = 64.151
y = 38.500/ 15.16 : x = 48.845/ 19.23 : accum_len = 64.743
y = 39.000/ 15.35 : x = 49.162/ 19.35 : accum_len = 65.335
y = 39.500/ 15.55 : x = 49.476/ 19.48 : accum_len = 65.925
y = 40.000/ 15.75 : x = 49.788/ 19.60 : accum_len = 66.515
y = 40.500/ 15.94 : x = 50.098/ 19.72 : accum_len = 67.103
y = 41.000/ 16.14 : x = 50.406/ 19.85 : accum_len = 67.691
y = 41.500/ 16.34 : x = 50.713/ 19.97 : accum_len = 68.277
y = 42.000/ 16.54 : x = 51.017/ 20.09 : accum_len = 68.862
y = 42.500/ 16.73 : x = 51.320/ 20.20 : accum_len = 69.447
y = 43.000/ 16.93 : x = 51.621/ 20.32 : accum_len = 70.031
y = 43.500/ 17.13 : x = 51.920/ 20.44 : accum_len = 70.613
y = 44.000/ 17.32 : x = 52.218/ 20.56 : accum_len = 71.195
y = 44.477/ 17.51 : x = 52.500/ 20.67
Straight line arc length: 143.498046/56.495294
Foot draft stopper.
spreader bar length: 81.70 cm, 32.2 inch
spreader bar to ridge line: 43.18 cm, 17.0 inch
Fabric width: 142.24 cm, 56.0 inch
Belly Band length: 112.39 cm, 44.25 inches
Foot parabola. x^2 = 2py, p == 15.362549
output = cm/inch
Depth == 54.311/21.38
y = 0.100/ 0.04 : x = 1.753/ 0.69 : accum_len = 1.756
y = 0.200/ 0.08 : x = 2.479/ 0.98 : accum_len = 2.489
y = 0.300/ 0.12 : x = 3.036/ 1.20 : accum_len = 3.055
y = 0.400/ 0.16 : x = 3.506/ 1.38 : accum_len = 3.535
y = 0.500/ 0.20 : x = 3.920/ 1.54 : accum_len = 3.961
y = 0.600/ 0.24 : x = 4.294/ 1.69 : accum_len = 4.348
y = 0.700/ 0.28 : x = 4.638/ 1.83 : accum_len = 4.706
y = 0.800/ 0.31 : x = 4.958/ 1.95 : accum_len = 5.042
y = 0.900/ 0.35 : x = 5.259/ 2.07 : accum_len = 5.358
y = 1.000/ 0.39 : x = 5.543/ 2.18 : accum_len = 5.660
y = 1.100/ 0.43 : x = 5.814/ 2.29 : accum_len = 5.948
y = 1.200/ 0.47 : x = 6.072/ 2.39 : accum_len = 6.226
y = 1.300/ 0.51 : x = 6.320/ 2.49 : accum_len = 6.493
y = 1.400/ 0.55 : x = 6.559/ 2.58 : accum_len = 6.752
y = 1.500/ 0.59 : x = 6.789/ 2.67 : accum_len = 7.003
y = 1.600/ 0.63 : x = 7.011/ 2.76 : accum_len = 7.247
y = 1.700/ 0.67 : x = 7.227/ 2.85 : accum_len = 7.484
y = 1.800/ 0.71 : x = 7.437/ 2.93 : accum_len = 7.717
y = 1.900/ 0.75 : x = 7.641/ 3.01 : accum_len = 7.944
y = 2.000/ 0.79 : x = 7.839/ 3.09 : accum_len = 8.166
y = 2.100/ 0.83 : x = 8.033/ 3.16 : accum_len = 8.384
y = 2.200/ 0.87 : x = 8.222/ 3.24 : accum_len = 8.598
y = 2.300/ 0.91 : x = 8.406/ 3.31 : accum_len = 8.808
y = 2.400/ 0.94 : x = 8.587/ 3.38 : accum_len = 9.014
y = 2.500/ 0.98 : x = 8.764/ 3.45 : accum_len = 9.218
y = 2.600/ 1.02 : x = 8.938/ 3.52 : accum_len = 9.418
y = 2.700/ 1.06 : x = 9.108/ 3.59 : accum_len = 9.615
y = 2.800/ 1.10 : x = 9.275/ 3.65 : accum_len = 9.810
y = 2.900/ 1.14 : x = 9.439/ 3.72 : accum_len = 10.002
y = 3.000/ 1.18 : x = 9.601/ 3.78 : accum_len = 10.192
y = 3.100/ 1.22 : x = 9.759/ 3.84 : accum_len = 10.380
y = 3.200/ 1.26 : x = 9.916/ 3.90 : accum_len = 10.565
y = 3.300/ 1.30 : x = 10.069/ 3.96 : accum_len = 10.749
y = 3.400/ 1.34 : x = 10.221/ 4.02 : accum_len = 10.930
y = 3.500/ 1.38 : x = 10.370/ 4.08 : accum_len = 11.110
y = 3.600/ 1.42 : x = 10.517/ 4.14 : accum_len = 11.288
y = 3.700/ 1.46 : x = 10.662/ 4.20 : accum_len = 11.464
y = 3.800/ 1.50 : x = 10.805/ 4.25 : accum_len = 11.639
y = 3.900/ 1.54 : x = 10.947/ 4.31 : accum_len = 11.812
y = 4.000/ 1.57 : x = 11.086/ 4.36 : accum_len = 11.983
y = 4.100/ 1.61 : x = 11.224/ 4.42 : accum_len = 12.153
y = 4.200/ 1.65 : x = 11.360/ 4.47 : accum_len = 12.322
y = 4.300/ 1.69 : x = 11.494/ 4.53 : accum_len = 12.490
y = 4.400/ 1.73 : x = 11.627/ 4.58 : accum_len = 12.656
y = 4.500/ 1.77 : x = 11.759/ 4.63 : accum_len = 12.821
y = 4.600/ 1.81 : x = 11.888/ 4.68 : accum_len = 12.985
y = 4.700/ 1.85 : x = 12.017/ 4.73 : accum_len = 13.148
y = 4.800/ 1.89 : x = 12.144/ 4.78 : accum_len = 13.310
y = 4.900/ 1.93 : x = 12.270/ 4.83 : accum_len = 13.471
y = 5.000/ 1.97 : x = 12.395/ 4.88 : accum_len = 13.630
y = 5.100/ 2.01 : x = 12.518/ 4.93 : accum_len = 13.789
y = 5.200/ 2.05 : x = 12.640/ 4.98 : accum_len = 13.947
y = 5.300/ 2.09 : x = 12.761/ 5.02 : accum_len = 14.104
y = 5.400/ 2.13 : x = 12.881/ 5.07 : accum_len = 14.260
y = 5.500/ 2.17 : x = 13.000/ 5.12 : accum_len = 14.415
y = 5.600/ 2.20 : x = 13.117/ 5.16 : accum_len = 14.570
y = 5.700/ 2.24 : x = 13.234/ 5.21 : accum_len = 14.723
y = 5.800/ 2.28 : x = 13.349/ 5.26 : accum_len = 14.876
y = 5.900/ 2.32 : x = 13.464/ 5.30 : accum_len = 15.028
y = 6.000/ 2.36 : x = 13.578/ 5.35 : accum_len = 15.179
y = 10.000/ 3.94 : x = 17.529/ 6.90 : accum_len = 20.802
y = 10.500/ 4.13 : x = 17.961/ 7.07 : accum_len = 21.463
y = 11.000/ 4.33 : x = 18.384/ 7.24 : accum_len = 22.118
y = 11.500/ 4.53 : x = 18.797/ 7.40 : accum_len = 22.766
y = 12.000/ 4.72 : x = 19.202/ 7.56 : accum_len = 23.409
y = 12.500/ 4.92 : x = 19.598/ 7.72 : accum_len = 24.047
y = 13.000/ 5.12 : x = 19.986/ 7.87 : accum_len = 24.680
y = 13.500/ 5.31 : x = 20.366/ 8.02 : accum_len = 25.309
y = 14.000/ 5.51 : x = 20.740/ 8.17 : accum_len = 25.933
y = 14.500/ 5.71 : x = 21.107/ 8.31 : accum_len = 26.553
y = 15.000/ 5.91 : x = 21.468/ 8.45 : accum_len = 27.170
y = 15.500/ 6.10 : x = 21.823/ 8.59 : accum_len = 27.783
y = 16.000/ 6.30 : x = 22.172/ 8.73 : accum_len = 28.393
y = 16.500/ 6.50 : x = 22.516/ 8.86 : accum_len = 29.000
y = 17.000/ 6.69 : x = 22.854/ 9.00 : accum_len = 29.603
y = 17.500/ 6.89 : x = 23.188/ 9.13 : accum_len = 30.204
y = 18.000/ 7.09 : x = 23.517/ 9.26 : accum_len = 30.803
y = 18.500/ 7.28 : x = 23.841/ 9.39 : accum_len = 31.399
y = 19.000/ 7.48 : x = 24.161/ 9.51 : accum_len = 31.993
y = 19.500/ 7.68 : x = 24.477/ 9.64 : accum_len = 32.584
y = 20.000/ 7.87 : x = 24.789/ 9.76 : accum_len = 33.173
y = 20.500/ 8.07 : x = 25.097/ 9.88 : accum_len = 33.761
y = 21.000/ 8.27 : x = 25.401/ 10.00 : accum_len = 34.346
y = 21.500/ 8.46 : x = 25.702/ 10.12 : accum_len = 34.929
y = 22.000/ 8.66 : x = 25.999/ 10.24 : accum_len = 35.511
y = 22.500/ 8.86 : x = 26.293/ 10.35 : accum_len = 36.091
y = 23.000/ 9.06 : x = 26.583/ 10.47 : accum_len = 36.669
y = 23.500/ 9.25 : x = 26.871/ 10.58 : accum_len = 37.246
y = 24.000/ 9.45 : x = 27.155/ 10.69 : accum_len = 37.821
y = 24.500/ 9.65 : x = 27.437/ 10.80 : accum_len = 38.395
y = 25.000/ 9.84 : x = 27.715/ 10.91 : accum_len = 38.967
y = 25.500/ 10.04 : x = 27.991/ 11.02 : accum_len = 39.538
y = 26.000/ 10.24 : x = 28.264/ 11.13 : accum_len = 40.108
y = 26.500/ 10.43 : x = 28.534/ 11.23 : accum_len = 40.676
y = 27.000/ 10.63 : x = 28.802/ 11.34 : accum_len = 41.244
y = 27.500/ 10.83 : x = 29.068/ 11.44 : accum_len = 41.810
y = 28.000/ 11.02 : x = 29.331/ 11.55 : accum_len = 42.375
y = 28.500/ 11.22 : x = 29.592/ 11.65 : accum_len = 42.939
y = 29.000/ 11.42 : x = 29.850/ 11.75 : accum_len = 43.501
y = 29.500/ 11.61 : x = 30.106/ 11.85 : accum_len = 44.063
y = 30.000/ 11.81 : x = 30.360/ 11.95 : accum_len = 44.624
y = 30.500/ 12.01 : x = 30.612/ 12.05 : accum_len = 45.184
y = 31.000/ 12.20 : x = 30.862/ 12.15 : accum_len = 45.743
y = 31.500/ 12.40 : x = 31.110/ 12.25 : accum_len = 46.301
y = 32.000/ 12.60 : x = 31.356/ 12.34 : accum_len = 46.858
y = 32.500/ 12.80 : x = 31.600/ 12.44 : accum_len = 47.415
y = 33.000/ 12.99 : x = 31.842/ 12.54 : accum_len = 47.970
y = 33.500/ 13.19 : x = 32.083/ 12.63 : accum_len = 48.525
y = 34.000/ 13.39 : x = 32.321/ 12.72 : accum_len = 49.079
y = 34.500/ 13.58 : x = 32.558/ 12.82 : accum_len = 49.632
y = 35.000/ 13.78 : x = 32.793/ 12.91 : accum_len = 50.185
y = 35.500/ 13.98 : x = 33.026/ 13.00 : accum_len = 50.736
y = 36.000/ 14.17 : x = 33.258/ 13.09 : accum_len = 51.288
y = 36.500/ 14.37 : x = 33.488/ 13.18 : accum_len = 51.838
y = 37.000/ 14.57 : x = 33.717/ 13.27 : accum_len = 52.388
y = 37.500/ 14.76 : x = 33.944/ 13.36 : accum_len = 52.937
y = 38.000/ 14.96 : x = 34.169/ 13.45 : accum_len = 53.485
y = 38.500/ 15.16 : x = 34.394/ 13.54 : accum_len = 54.033
y = 39.000/ 15.35 : x = 34.616/ 13.63 : accum_len = 54.581
y = 39.500/ 15.55 : x = 34.837/ 13.72 : accum_len = 55.127
y = 40.000/ 15.75 : x = 35.057/ 13.80 : accum_len = 55.674
y = 40.500/ 15.94 : x = 35.276/ 13.89 : accum_len = 56.219
y = 41.000/ 16.14 : x = 35.493/ 13.97 : accum_len = 56.764
y = 41.500/ 16.34 : x = 35.708/ 14.06 : accum_len = 57.309
y = 42.000/ 16.54 : x = 35.923/ 14.14 : accum_len = 57.853
y = 42.500/ 16.73 : x = 36.136/ 14.23 : accum_len = 58.396
y = 43.000/ 16.93 : x = 36.348/ 14.31 : accum_len = 58.939
y = 43.500/ 17.13 : x = 36.559/ 14.39 : accum_len = 59.482
y = 44.000/ 17.32 : x = 36.768/ 14.48 : accum_len = 60.024
y = 44.500/ 17.52 : x = 36.977/ 14.56 : accum_len = 60.566
y = 45.000/ 17.72 : x = 37.184/ 14.64 : accum_len = 61.107
y = 45.500/ 17.91 : x = 37.390/ 14.72 : accum_len = 61.648
y = 46.000/ 18.11 : x = 37.595/ 14.80 : accum_len = 62.188
y = 46.500/ 18.31 : x = 37.798/ 14.88 : accum_len = 62.728
y = 47.000/ 18.50 : x = 38.001/ 14.96 : accum_len = 63.268
y = 47.500/ 18.70 : x = 38.203/ 15.04 : accum_len = 63.807
y = 48.000/ 18.90 : x = 38.403/ 15.12 : accum_len = 64.345
y = 48.500/ 19.09 : x = 38.603/ 15.20 : accum_len = 64.884
y = 49.000/ 19.29 : x = 38.801/ 15.28 : accum_len = 65.422
y = 49.500/ 19.49 : x = 38.999/ 15.35 : accum_len = 65.959
y = 50.000/ 19.69 : x = 39.195/ 15.43 : accum_len = 66.497
y = 50.500/ 19.88 : x = 39.391/ 15.51 : accum_len = 67.033
y = 51.000/ 20.08 : x = 39.585/ 15.58 : accum_len = 67.570
y = 51.500/ 20.28 : x = 39.779/ 15.66 : accum_len = 68.106
y = 52.000/ 20.47 : x = 39.971/ 15.74 : accum_len = 68.642
y = 52.500/ 20.67 : x = 40.163/ 15.81 : accum_len = 69.177
y = 53.000/ 20.87 : x = 40.354/ 15.89 : accum_len = 69.713
y = 53.500/ 21.06 : x = 40.544/ 15.96 : accum_len = 70.247
y = 54.000/ 21.26 : x = 40.733/ 16.04 : accum_len = 70.782
y = 54.311/ 21.38 : x = 40.733/ 16.04
Straight line arc length: 142.229306/55.995790
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