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 |
|