| 
Table B-5. 12-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 | 
3.741 | 
0.064 | 
93.14 | 
87.05 | 
0.10 | 
66.70 | 
80.95 | 
14.24 | 
 
| 0.99 | 
3.743 | 
0.082 | 
91.24 | 
83.62 | 
0.13 | 
57.19 | 
78.36 | 
21.17 | 
 
| 0.98 | 
3.745 | 
0.100 | 
89.36 | 
80.29 | 
0.16 | 
50.09 | 
76.04 | 
25.95 | 
 
| 0.97 | 
3.748 | 
0.118 | 
87.50 | 
77.07 | 
0.19 | 
44.50 | 
73.90 | 
29.40 | 
 
| 0.96 | 
3.750 | 
0.136 | 
85.66 | 
73.94 | 
0.22 | 
39.96 | 
71.91 | 
31.95 | 
 
| 0.95 | 
3.753 | 
0.155 | 
83.83 | 
70.90 | 
0.25 | 
36.16 | 
70.03 | 
33.87 | 
 
| 0.94 | 
3.755 | 
0.173 | 
82.03 | 
67.97 | 
0.28 | 
32.92 | 
68.25 | 
35.33 | 
 
| 0.93 | 
3.758 | 
0.191 | 
80.24 | 
65.12 | 
0.31 | 
30.12 | 
66.55 | 
36.42 | 
 
| 0.92 | 
3.760 | 
0.209 | 
78.48 | 
62.36 | 
0.34 | 
27.67 | 
64.92 | 
37.24 | 
 
| 0.91 | 
3.763 | 
0.228 | 
76.73 | 
59.70 | 
0.37 | 
25.51 | 
63.34 | 
37.84 | 
 
| 0.90 | 
3.765 | 
0.246 | 
75.00 | 
57.11 | 
0.40 | 
23.57 | 
61.82 | 
38.25 | 
 
| 0.89 | 
3.767 | 
0.264 | 
73.29 | 
54.62 | 
0.44 | 
21.84 | 
60.35 | 
38.52 | 
 
| 0.88 | 
3.770 | 
0.283 | 
71.60 | 
52.20 | 
0.47 | 
20.27 | 
58.92 | 
38.65 | 
 
| 0.87 | 
3.772 | 
0.301 | 
69.93 | 
49.87 | 
0.50 | 
18.84 | 
57.53 | 
38.68 | 
 
| 0.86 | 
3.775 | 
0.320 | 
68.28 | 
47.62 | 
0.53 | 
17.54 | 
56.17 | 
38.62 | 
 
| 0.85 | 
3.777 | 
0.338 | 
66.64 | 
45.44 | 
0.57 | 
16.35 | 
54.84 | 
38.49 | 
 
| 0.84 | 
3.780 | 
0.356 | 
65.03 | 
43.34 | 
0.60 | 
15.26 | 
53.54 | 
38.28 | 
 
| 0.83 | 
3.782 | 
0.375 | 
63.44 | 
41.31 | 
0.63 | 
14.25 | 
52.27 | 
38.02 | 
 
| 0.82 | 
3.785 | 
0.394 | 
61.86 | 
39.36 | 
0.67 | 
13.32 | 
51.02 | 
37.70 | 
 
| 0.81 | 
3.787 | 
0.412 | 
60.30 | 
37.47 | 
0.70 | 
12.46 | 
49.80 | 
37.34 | 
 
| 0.80 | 
3.790 | 
0.431 | 
58.77 | 
35.66 | 
0.74 | 
11.65 | 
48.60 | 
36.94 | 
 
| 0.79 | 
3.792 | 
0.449 | 
57.25 | 
33.91 | 
0.77 | 
10.91 | 
47.41 | 
36.51 | 
 
| 0.78 | 
3.795 | 
0.468 | 
55.75 | 
32.22 | 
0.81 | 
10.21 | 
46.25 | 
36.04 | 
 
| 0.77 | 
3.797 | 
0.486 | 
54.27 | 
30.60 | 
0.85 | 
9.56 | 
45.10 | 
35.54 | 
 
| 0.76 | 
3.800 | 
0.505 | 
52.81 | 
29.04 | 
0.88 | 
8.96 | 
43.98 | 
35.02 | 
 
| 0.75 | 
3.802 | 
0.524 | 
51.37 | 
27.54 | 
0.92 | 
8.39 | 
42.86 | 
34.48 | 
 
| 0.74 | 
3.805 | 
0.543 | 
49.94 | 
26.10 | 
0.96 | 
7.86 | 
41.77 | 
33.91 | 
 
| 0.73 | 
3.807 | 
0.561 | 
48.54 | 
24.72 | 
0.99 | 
7.36 | 
40.69 | 
33.33 | 
 
| 0.72 | 
3.810 | 
0.580 | 
47.15 | 
23.39 | 
1.03 | 
6.89 | 
39.62 | 
32.73 | 
 
| 0.71 | 
3.812 | 
0.599 | 
45.79 | 
22.12 | 
1.07 | 
6.45 | 
38.57 | 
32.12 | 
 
| 0.70 | 
3.815 | 
0.618 | 
44.44 | 
20.90 | 
1.11 | 
6.04 | 
37.53 | 
31.50 | 
 
| 0.69 | 
3.817 | 
0.637 | 
43.12 | 
19.73 | 
1.15 | 
5.65 | 
36.51 | 
30.86 | 
 
| 0.68 | 
3.820 | 
0.655 | 
41.81 | 
18.61 | 
1.19 | 
5.28 | 
35.50 | 
30.21 | 
 
| 0.67 | 
3.822 | 
0.674 | 
40.52 | 
17.54 | 
1.23 | 
4.94 | 
34.50 | 
29.56 | 
 
| 0.66 | 
3.825 | 
0.693 | 
39.25 | 
16.52 | 
1.27 | 
4.62 | 
33.51 | 
28.89 | 
 
| 0.65 | 
3.827 | 
0.712 | 
38.00 | 
15.54 | 
1.31 | 
4.31 | 
32.53 | 
28.22 | 
 
| 0.64 | 
3.830 | 
0.731 | 
36.76 | 
14.60 | 
1.35 | 
4.03 | 
31.57 | 
27.54 | 
 
| 0.63 | 
3.833 | 
0.750 | 
35.55 | 
13.71 | 
1.39 | 
3.76 | 
30.62 | 
26.86 | 
 
| 0.62 | 
3.835 | 
0.769 | 
34.36 | 
12.86 | 
1.43 | 
3.50 | 
29.68 | 
26.18 | 
 
| 0.61 | 
3.838 | 
0.788 | 
33.18 | 
12.05 | 
1.48 | 
3.26 | 
28.75 | 
25.49 | 
 
| 0.60 | 
3.840 | 
0.807 | 
32.03 | 
11.28 | 
1.52 | 
3.04 | 
27.84 | 
24.80 | 
 
| 0.59 | 
3.843 | 
0.826 | 
30.89 | 
10.55 | 
1.56 | 
2.83 | 
26.93 | 
24.10 | 
 
| 0.58 | 
3.845 | 
0.846 | 
29.77 | 
9.85 | 
1.61 | 
2.63 | 
26.04 | 
23.41 | 
 
| 0.57 | 
3.848 | 
0.865 | 
28.68 | 
9.19 | 
1.65 | 
2.44 | 
25.15 | 
22.72 | 
 
| 0.56 | 
3.850 | 
0.884 | 
27.60 | 
8.56 | 
1.70 | 
2.26 | 
24.28 | 
22.02 | 
 
| 0.55 | 
3.853 | 
0.903 | 
26.54 | 
7.97 | 
1.74 | 
2.10 | 
23.42 | 
21.33 | 
 
| 0.54 | 
3.856 | 
0.922 | 
25.50 | 
7.40 | 
1.79 | 
1.94 | 
22.58 | 
20.63 | 
 
| 0.53 | 
3.858 | 
0.942 | 
24.47 | 
6.87 | 
1.84 | 
1.79 | 
21.74 | 
19.94 | 
 
| 0.52 | 
3.861 | 
0.961 | 
23.47 | 
6.36 | 
1.89 | 
1.66 | 
20.91 | 
19.26 | 
 
| 0.51 | 
3.863 | 
0.980 | 
22.49 | 
5.89 | 
1.93 | 
1.53 | 
20.10 | 
18.57 | 
 
| 0.50 | 
3.866 | 
0.999 | 
21.52 | 
5.44 | 
1.98 | 
1.41 | 
19.30 | 
17.89 | 
 
| 0.49 | 
3.869 | 
1.019 | 
20.58 | 
5.02 | 
2.03 | 
1.30 | 
18.51 | 
17.21 | 
 
| 0.48 | 
3.871 | 
1.038 | 
19.65 | 
4.62 | 
2.08 | 
1.19 | 
17.73 | 
16.54 | 
 
| 0.47 | 
3.874 | 
1.058 | 
18.75 | 
4.25 | 
2.13 | 
1.09 | 
16.96 | 
15.87 | 
 
| 0.46 | 
3.876 | 
1.077 | 
17.86 | 
3.90 | 
2.18 | 
1.00 | 
16.21 | 
15.21 | 
 
| 0.45 | 
3.879 | 
1.096 | 
16.99 | 
3.57 | 
2.23 | 
0.91 | 
15.47 | 
14.55 | 
 
| 0.44 | 
3.882 | 
1.116 | 
16.14 | 
3.26 | 
2.29 | 
0.83 | 
14.74 | 
13.90 | 
 
| 0.43 | 
3.884 | 
1.135 | 
15.31 | 
2.98 | 
2.34 | 
0.76 | 
14.02 | 
13.26 | 
 
| 0.42 | 
3.887 | 
1.155 | 
14.50 | 
2.71 | 
2.39 | 
0.69 | 
13.31 | 
12.62 | 
 
| 0.41 | 
3.889 | 
1.175 | 
13.70 | 
2.46 | 
2.45 | 
0.62 | 
12.62 | 
12.00 | 
 
| 0.40 | 
3.892 | 
1.194 | 
12.93 | 
2.23 | 
2.50 | 
0.57 | 
11.94 | 
11.38 | 
 
| 0.39 | 
3.895 | 
1.214 | 
12.18 | 
2.01 | 
2.56 | 
0.51 | 
11.28 | 
10.77 | 
 
| 0.38 | 
3.897 | 
1.233 | 
11.44 | 
1.82 | 
2.62 | 
0.46 | 
10.63 | 
10.17 | 
 
| 0.37 | 
3.900 | 
1.253 | 
10.72 | 
1.63 | 
2.67 | 
0.41 | 
9.99 | 
9.57 | 
 
| 0.36 | 
3.903 | 
1.273 | 
10.03 | 
1.46 | 
2.73 | 
0.37 | 
9.36 | 
8.99 | 
 
| 0.35 | 
3.905 | 
1.292 | 
9.35 | 
1.31 | 
2.79 | 
0.33 | 
8.75 | 
8.42 | 
 
| 0.34 | 
3.908 | 
1.312 | 
8.69 | 
1.16 | 
2.85 | 
0.29 | 
8.15 | 
7.86 | 
 
| 0.33 | 
3.911 | 
1.332 | 
8.05 | 
1.03 | 
2.91 | 
0.26 | 
7.57 | 
7.31 | 
 
| 0.32 | 
3.913 | 
1.352 | 
7.43 | 
0.91 | 
2.97 | 
0.23 | 
7.00 | 
6.77 | 
 
| 0.31 | 
3.916 | 
1.372 | 
6.83 | 
0.80 | 
3.03 | 
0.20 | 
6.45 | 
6.25 | 
 
| 0.30 | 
3.918 | 
1.391 | 
6.25 | 
0.71 | 
3.10 | 
0.18 | 
5.91 | 
5.74 | 
 
| 0.29 | 
3.921 | 
1.411 | 
5.68 | 
0.62 | 
3.16 | 
0.15 | 
5.39 | 
5.24 | 
 
| 0.28 | 
3.924 | 
1.431 | 
5.14 | 
0.54 | 
3.22 | 
0.13 | 
4.88 | 
4.75 | 
 
| 0.27 | 
3.926 | 
1.451 | 
4.61 | 
0.46 | 
3.29 | 
0.12 | 
4.39 | 
4.27 | 
 
| 0.26 | 
3.929 | 
1.471 | 
4.11 | 
0.40 | 
3.36 | 
0.10 | 
3.91 | 
3.82 | 
 
| 0.25 | 
3.932 | 
1.491 | 
3.62 | 
0.34 | 
3.42 | 
0.09 | 
3.45 | 
3.37 | 
 
| 0.24 | 
3.935 | 
1.511 | 
3.15 | 
0.29 | 
3.49 | 
0.07 | 
3.01 | 
2.94 | 
 
| 0.23 | 
3.937 | 
1.531 | 
2.70 | 
0.24 | 
3.56 | 
0.06 | 
2.58 | 
2.52 | 
 
| 0.22 | 
3.940 | 
1.551 | 
2.27 | 
0.20 | 
3.63 | 
0.05 | 
2.17 | 
2.12 | 
 
| 0.21 | 
3.943 | 
1.571 | 
1.86 | 
0.17 | 
3.70 | 
0.04 | 
1.78 | 
1.74 | 
 
| 0.20 | 
3.945 | 
1.592 | 
1.47 | 
0.14 | 
3.77 | 
0.03 | 
1.40 | 
1.37 | 
 
 
 |