| 
Table B-3. 9-sided Spar, Polygon Exterior
 | 
 
 | 
 
Ratio A  or  I.D./O.D.
 | 
Ratio (M)  or  (O.D./L)
 | 
Ratio (K)  or  (H/L)
 | 
Weight Saving at same size
 | 
Strengh Loss at same size
 | 
Outside Waste
 | 
Size Increase for same strength
 | 
Weight Saving at same strength
 | 
Arbitrary Score
 | 
 
|  
 | 
 
 | 
 
 | 
(%)
 | 
(%)
 | 
(%)
 | 
(%)
 | 
(%)
 | 
 
 | 
 
| 1.00 | 
2.767 | 
0.083 | 
87.80 | 
77.97 | 
0.28 | 
45.97 | 
74.01 | 
28.04 | 
 
| 0.99 | 
2.770 | 
0.097 | 
85.97 | 
74.90 | 
0.32 | 
41.28 | 
72.00 | 
30.72 | 
 
| 0.98 | 
2.773 | 
0.110 | 
84.16 | 
71.92 | 
0.37 | 
37.37 | 
70.10 | 
32.73 | 
 
| 0.97 | 
2.776 | 
0.123 | 
82.36 | 
69.03 | 
0.41 | 
34.05 | 
68.31 | 
34.26 | 
 
| 0.96 | 
2.779 | 
0.136 | 
80.58 | 
66.23 | 
0.46 | 
31.18 | 
66.59 | 
35.42 | 
 
| 0.95 | 
2.782 | 
0.149 | 
78.83 | 
63.51 | 
0.51 | 
28.66 | 
64.95 | 
36.28 | 
 
| 0.94 | 
2.785 | 
0.163 | 
77.09 | 
60.88 | 
0.55 | 
26.44 | 
63.37 | 
36.92 | 
 
| 0.93 | 
2.789 | 
0.176 | 
75.36 | 
58.33 | 
0.60 | 
24.46 | 
61.84 | 
37.37 | 
 
| 0.92 | 
2.792 | 
0.189 | 
73.66 | 
55.86 | 
0.65 | 
22.68 | 
60.35 | 
37.67 | 
 
| 0.91 | 
2.795 | 
0.202 | 
71.98 | 
53.47 | 
0.69 | 
21.08 | 
58.92 | 
37.84 | 
 
| 0.90 | 
2.798 | 
0.216 | 
70.31 | 
51.16 | 
0.74 | 
19.62 | 
57.52 | 
37.90 | 
 
| 0.89 | 
2.801 | 
0.229 | 
68.66 | 
48.92 | 
0.79 | 
18.29 | 
56.15 | 
37.86 | 
 
| 0.88 | 
2.804 | 
0.243 | 
67.03 | 
46.76 | 
0.84 | 
17.07 | 
54.82 | 
37.75 | 
 
| 0.87 | 
2.807 | 
0.256 | 
65.42 | 
44.67 | 
0.89 | 
15.95 | 
53.51 | 
37.56 | 
 
| 0.86 | 
2.811 | 
0.270 | 
63.83 | 
42.65 | 
0.94 | 
14.91 | 
52.23 | 
37.32 | 
 
| 0.85 | 
2.814 | 
0.283 | 
62.25 | 
40.70 | 
0.99 | 
13.96 | 
50.98 | 
37.02 | 
 
| 0.84 | 
2.817 | 
0.297 | 
60.70 | 
38.82 | 
1.04 | 
13.07 | 
49.75 | 
36.68 | 
 
| 0.83 | 
2.820 | 
0.310 | 
59.16 | 
37.00 | 
1.10 | 
12.25 | 
48.54 | 
36.30 | 
 
| 0.82 | 
2.823 | 
0.324 | 
57.64 | 
35.25 | 
1.15 | 
11.48 | 
47.36 | 
35.88 | 
 
| 0.81 | 
2.826 | 
0.338 | 
56.14 | 
33.56 | 
1.20 | 
10.76 | 
46.19 | 
35.42 | 
 
| 0.80 | 
2.830 | 
0.351 | 
54.66 | 
31.94 | 
1.25 | 
10.10 | 
45.04 | 
34.94 | 
 
| 0.79 | 
2.833 | 
0.365 | 
53.19 | 
30.37 | 
1.31 | 
9.47 | 
43.91 | 
34.43 | 
 
| 0.78 | 
2.836 | 
0.379 | 
51.75 | 
28.86 | 
1.36 | 
8.89 | 
42.79 | 
33.90 | 
 
| 0.77 | 
2.839 | 
0.392 | 
50.32 | 
27.41 | 
1.42 | 
8.34 | 
41.69 | 
33.35 | 
 
| 0.76 | 
2.843 | 
0.406 | 
48.91 | 
26.01 | 
1.47 | 
7.82 | 
40.61 | 
32.78 | 
 
| 0.75 | 
2.846 | 
0.420 | 
47.52 | 
24.67 | 
1.53 | 
7.34 | 
39.53 | 
32.20 | 
 
| 0.74 | 
2.849 | 
0.434 | 
46.15 | 
23.38 | 
1.58 | 
6.88 | 
38.48 | 
31.59 | 
 
| 0.73 | 
2.852 | 
0.448 | 
44.80 | 
22.14 | 
1.64 | 
6.46 | 
37.44 | 
30.98 | 
 
| 0.72 | 
2.856 | 
0.462 | 
43.46 | 
20.95 | 
1.70 | 
6.05 | 
36.41 | 
30.35 | 
 
| 0.71 | 
2.859 | 
0.476 | 
42.14 | 
19.81 | 
1.76 | 
5.68 | 
35.39 | 
29.71 | 
 
| 0.70 | 
2.862 | 
0.490 | 
40.85 | 
18.72 | 
1.82 | 
5.32 | 
34.39 | 
29.07 | 
 
| 0.69 | 
2.865 | 
0.504 | 
39.57 | 
17.67 | 
1.88 | 
4.98 | 
33.39 | 
28.41 | 
 
| 0.68 | 
2.869 | 
0.518 | 
38.30 | 
16.67 | 
1.94 | 
4.67 | 
32.41 | 
27.75 | 
 
| 0.67 | 
2.872 | 
0.532 | 
37.06 | 
15.71 | 
2.00 | 
4.37 | 
31.45 | 
27.08 | 
 
| 0.66 | 
2.875 | 
0.546 | 
35.84 | 
14.80 | 
2.06 | 
4.08 | 
30.49 | 
26.41 | 
 
| 0.65 | 
2.879 | 
0.560 | 
34.63 | 
13.92 | 
2.12 | 
3.82 | 
29.54 | 
25.73 | 
 
| 0.64 | 
2.882 | 
0.574 | 
33.44 | 
13.08 | 
2.18 | 
3.57 | 
28.61 | 
25.04 | 
 
| 0.63 | 
2.885 | 
0.589 | 
32.27 | 
12.28 | 
2.24 | 
3.33 | 
27.69 | 
24.36 | 
 
| 0.62 | 
2.889 | 
0.603 | 
31.12 | 
11.52 | 
2.31 | 
3.11 | 
26.78 | 
23.67 | 
 
| 0.61 | 
2.892 | 
0.617 | 
29.99 | 
10.80 | 
2.37 | 
2.90 | 
25.87 | 
22.98 | 
 
| 0.60 | 
2.895 | 
0.631 | 
28.88 | 
10.11 | 
2.44 | 
2.70 | 
24.99 | 
22.29 | 
 
| 0.59 | 
2.899 | 
0.646 | 
27.78 | 
9.45 | 
2.50 | 
2.51 | 
24.11 | 
21.59 | 
 
| 0.58 | 
2.902 | 
0.660 | 
26.70 | 
8.82 | 
2.57 | 
2.34 | 
23.24 | 
20.90 | 
 
| 0.57 | 
2.905 | 
0.675 | 
25.64 | 
8.23 | 
2.64 | 
2.17 | 
22.38 | 
20.21 | 
 
| 0.56 | 
2.909 | 
0.689 | 
24.60 | 
7.67 | 
2.71 | 
2.01 | 
21.54 | 
19.52 | 
 
| 0.55 | 
2.912 | 
0.704 | 
23.58 | 
7.14 | 
2.78 | 
1.87 | 
20.70 | 
18.83 | 
 
| 0.54 | 
2.915 | 
0.718 | 
22.58 | 
6.63 | 
2.84 | 
1.73 | 
19.88 | 
18.15 | 
 
| 0.53 | 
2.919 | 
0.733 | 
21.59 | 
6.15 | 
2.92 | 
1.60 | 
19.06 | 
17.46 | 
 
| 0.52 | 
2.922 | 
0.747 | 
20.63 | 
5.70 | 
2.99 | 
1.48 | 
18.26 | 
16.78 | 
 
| 0.51 | 
2.926 | 
0.762 | 
19.68 | 
5.28 | 
3.06 | 
1.36 | 
17.47 | 
16.11 | 
 
| 0.50 | 
2.929 | 
0.776 | 
18.75 | 
4.87 | 
3.13 | 
1.26 | 
16.69 | 
15.44 | 
 
| 0.49 | 
2.933 | 
0.791 | 
17.84 | 
4.49 | 
3.20 | 
1.16 | 
15.93 | 
14.77 | 
 
| 0.48 | 
2.936 | 
0.806 | 
16.94 | 
4.14 | 
3.28 | 
1.06 | 
15.17 | 
14.11 | 
 
| 0.47 | 
2.939 | 
0.821 | 
16.07 | 
3.80 | 
3.35 | 
0.97 | 
14.43 | 
13.45 | 
 
| 0.46 | 
2.943 | 
0.835 | 
15.21 | 
3.49 | 
3.43 | 
0.89 | 
13.69 | 
12.80 | 
 
| 0.45 | 
2.946 | 
0.850 | 
14.37 | 
3.20 | 
3.51 | 
0.82 | 
12.97 | 
12.16 | 
 
| 0.44 | 
2.950 | 
0.865 | 
13.56 | 
2.92 | 
3.59 | 
0.74 | 
12.26 | 
11.52 | 
 
| 0.43 | 
2.953 | 
0.880 | 
12.75 | 
2.67 | 
3.66 | 
0.68 | 
11.57 | 
10.89 | 
 
| 0.42 | 
2.957 | 
0.895 | 
11.97 | 
2.43 | 
3.74 | 
0.62 | 
10.88 | 
10.27 | 
 
| 0.41 | 
2.960 | 
0.910 | 
11.21 | 
2.20 | 
3.82 | 
0.56 | 
10.21 | 
9.65 | 
 
| 0.40 | 
2.964 | 
0.925 | 
10.46 | 
2.00 | 
3.91 | 
0.51 | 
9.55 | 
9.05 | 
 
| 0.39 | 
2.967 | 
0.940 | 
9.73 | 
1.80 | 
3.99 | 
0.46 | 
8.91 | 
8.45 | 
 
| 0.38 | 
2.971 | 
0.955 | 
9.03 | 
1.63 | 
4.07 | 
0.41 | 
8.28 | 
7.87 | 
 
| 0.37 | 
2.974 | 
0.970 | 
8.33 | 
1.46 | 
4.16 | 
0.37 | 
7.66 | 
7.29 | 
 
| 0.36 | 
2.978 | 
0.985 | 
7.66 | 
1.31 | 
4.24 | 
0.33 | 
7.05 | 
6.72 | 
 
| 0.35 | 
2.982 | 
1.000 | 
7.01 | 
1.17 | 
4.33 | 
0.29 | 
6.46 | 
6.17 | 
 
| 0.34 | 
2.985 | 
1.016 | 
6.37 | 
1.04 | 
4.42 | 
0.26 | 
5.88 | 
5.62 | 
 
| 0.33 | 
2.989 | 
1.031 | 
5.76 | 
0.92 | 
4.51 | 
0.23 | 
5.32 | 
5.09 | 
 
| 0.32 | 
2.992 | 
1.046 | 
5.16 | 
0.82 | 
4.60 | 
0.21 | 
4.77 | 
4.56 | 
 
| 0.31 | 
2.996 | 
1.062 | 
4.58 | 
0.72 | 
4.69 | 
0.18 | 
4.23 | 
4.05 | 
 
| 0.30 | 
2.999 | 
1.077 | 
4.02 | 
0.63 | 
4.78 | 
0.16 | 
3.71 | 
3.55 | 
 
| 0.29 | 
3.003 | 
1.092 | 
3.47 | 
0.55 | 
4.87 | 
0.14 | 
3.21 | 
3.07 | 
 
| 0.28 | 
3.007 | 
1.108 | 
2.95 | 
0.48 | 
4.97 | 
0.12 | 
2.72 | 
2.60 | 
 
| 0.27 | 
3.010 | 
1.123 | 
2.44 | 
0.41 | 
5.06 | 
0.10 | 
2.24 | 
2.14 | 
 
| 0.26 | 
3.014 | 
1.139 | 
1.95 | 
0.36 | 
5.16 | 
0.09 | 
1.78 | 
1.69 | 
 
| 0.25 | 
3.018 | 
1.154 | 
1.48 | 
0.30 | 
5.26 | 
0.08 | 
1.33 | 
1.26 | 
 
| 0.24 | 
3.021 | 
1.170 | 
1.03 | 
0.26 | 
5.36 | 
0.06 | 
0.91 | 
0.84 | 
 
| 0.23 | 
3.025 | 
1.186 | 
0.60 | 
0.22 | 
5.46 | 
0.05 | 
0.49 | 
0.44 | 
 
| 0.22 | 
3.029 | 
1.201 | 
0.19 | 
0.18 | 
5.56 | 
0.05 | 
0.10 | 
0.05 | 
 
| 0.21 | 
3.032 | 
1.217 | 
-0.21 | 
0.15 | 
5.67 | 
0.04 | 
-0.29 | 
-0.32 | 
 
| 0.20 | 
3.036 | 
1.233 | 
-0.59 | 
0.12 | 
5.77 | 
0.03 | 
-0.65 | 
-0.68 | 
 
 
 |