|
Table A-3. 9-sided Spar, Round 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
|
|
|
|
|
(%)
|
(%)
|
(%)
|
(%)
|
(%)
|
|
|
0.99 |
2.770 |
0.097 |
90.24 |
96.06 |
30.66 |
124.45 |
50.83 |
-73.61 |
| 0.98 |
2.773 |
0.110 |
88.43 |
92.24 |
27.22 |
89.45 |
58.46 |
-30.99 |
| 0.97 |
2.776 |
0.123 |
86.63 |
88.53 |
24.52 |
71.83 |
60.53 |
-11.30 |
| 0.96 |
2.779 |
0.136 |
84.85 |
84.93 |
22.35 |
60.51 |
60.98 |
0.47 |
| 0.95 |
2.782 |
0.149 |
83.10 |
81.45 |
20.57 |
52.38 |
60.75 |
8.37 |
| 0.94 |
2.785 |
0.163 |
81.36 |
78.07 |
19.08 |
46.14 |
60.18 |
14.04 |
| 0.93 |
2.789 |
0.176 |
79.63 |
74.81 |
17.83 |
41.15 |
59.42 |
18.28 |
| 0.92 |
2.792 |
0.189 |
77.93 |
71.64 |
16.75 |
37.03 |
58.56 |
21.53 |
| 0.91 |
2.795 |
0.202 |
76.25 |
68.57 |
15.82 |
33.56 |
57.62 |
24.06 |
| 0.90 |
2.798 |
0.216 |
74.58 |
65.61 |
15.02 |
30.58 |
56.65 |
26.07 |
| 0.89 |
2.801 |
0.229 |
72.93 |
62.74 |
14.31 |
28.00 |
55.65 |
27.66 |
| 0.88 |
2.804 |
0.243 |
71.30 |
59.97 |
13.68 |
25.72 |
54.64 |
28.92 |
| 0.87 |
2.807 |
0.256 |
69.69 |
57.29 |
13.13 |
23.70 |
53.62 |
29.92 |
| 0.86 |
2.811 |
0.270 |
68.10 |
54.70 |
12.63 |
21.89 |
52.60 |
30.71 |
| 0.85 |
2.814 |
0.283 |
66.52 |
52.20 |
12.19 |
20.27 |
51.58 |
31.31 |
| 0.84 |
2.817 |
0.297 |
64.97 |
49.79 |
11.79 |
18.79 |
50.56 |
31.77 |
| 0.83 |
2.820 |
0.310 |
63.43 |
47.46 |
11.44 |
17.46 |
49.55 |
32.09 |
| 0.82 |
2.823 |
0.324 |
61.91 |
45.21 |
11.11 |
16.23 |
48.54 |
32.31 |
| 0.81 |
2.826 |
0.338 |
60.41 |
43.05 |
10.82 |
15.11 |
47.54 |
32.43 |
| 0.80 |
2.830 |
0.351 |
58.93 |
40.96 |
10.55 |
14.08 |
46.54 |
32.46 |
| 0.79 |
2.833 |
0.365 |
57.46 |
38.95 |
10.31 |
13.13 |
45.56 |
32.43 |
| 0.78 |
2.836 |
0.379 |
56.02 |
37.02 |
10.09 |
12.25 |
44.58 |
32.33 |
| 0.77 |
2.839 |
0.392 |
54.59 |
35.15 |
9.89 |
11.44 |
43.61 |
32.17 |
| 0.76 |
2.843 |
0.406 |
53.18 |
33.36 |
9.71 |
10.68 |
42.65 |
31.97 |
| 0.75 |
2.846 |
0.420 |
51.79 |
31.64 |
9.54 |
9.98 |
41.69 |
31.71 |
| 0.74 |
2.849 |
0.434 |
50.42 |
29.99 |
9.39 |
9.32 |
40.74 |
31.42 |
| 0.73 |
2.852 |
0.448 |
49.07 |
28.40 |
9.25 |
8.71 |
39.81 |
31.10 |
| 0.72 |
2.856 |
0.462 |
47.73 |
26.87 |
9.12 |
8.14 |
38.88 |
30.74 |
| 0.71 |
2.859 |
0.476 |
46.41 |
25.41 |
9.01 |
7.60 |
37.95 |
30.35 |
| 0.70 |
2.862 |
0.490 |
45.12 |
24.01 |
8.90 |
7.11 |
37.04 |
29.93 |
| 0.69 |
2.865 |
0.504 |
43.84 |
22.67 |
8.81 |
6.64 |
36.13 |
29.50 |
| 0.68 |
2.869 |
0.518 |
42.57 |
21.38 |
8.72 |
6.20 |
35.23 |
29.04 |
| 0.67 |
2.872 |
0.532 |
41.33 |
20.15 |
8.64 |
5.79 |
34.34 |
28.56 |
| 0.66 |
2.875 |
0.546 |
40.11 |
18.97 |
8.58 |
5.40 |
33.46 |
28.06 |
| 0.65 |
2.879 |
0.560 |
38.90 |
17.85 |
8.51 |
5.04 |
32.59 |
27.55 |
| 0.64 |
2.882 |
0.574 |
37.71 |
16.78 |
8.46 |
4.70 |
31.72 |
27.02 |
| 0.63 |
2.885 |
0.589 |
36.54 |
15.75 |
8.41 |
4.38 |
30.86 |
26.49 |
| 0.62 |
2.889 |
0.603 |
35.39 |
14.78 |
8.36 |
4.08 |
30.02 |
25.94 |
| 0.61 |
2.892 |
0.617 |
34.26 |
13.85 |
8.33 |
3.80 |
29.17 |
25.38 |
| 0.60 |
2.895 |
0.631 |
33.15 |
12.96 |
8.30 |
3.53 |
28.34 |
24.81 |
| 0.59 |
2.899 |
0.646 |
32.05 |
12.12 |
8.27 |
3.28 |
27.52 |
24.24 |
| 0.58 |
2.902 |
0.660 |
30.97 |
11.32 |
8.25 |
3.05 |
26.70 |
23.65 |
| 0.57 |
2.905 |
0.675 |
29.91 |
10.56 |
8.23 |
2.83 |
25.89 |
23.07 |
| 0.56 |
2.909 |
0.689 |
28.87 |
9.83 |
8.22 |
2.62 |
25.10 |
22.47 |
| 0.55 |
2.912 |
0.704 |
27.85 |
9.15 |
8.21 |
2.43 |
24.31 |
21.88 |
| 0.54 |
2.915 |
0.718 |
26.85 |
8.50 |
8.20 |
2.25 |
23.52 |
21.28 |
| 0.53 |
2.919 |
0.733 |
25.86 |
7.89 |
8.20 |
2.08 |
22.75 |
20.68 |
| 0.52 |
2.922 |
0.747 |
24.90 |
7.31 |
8.20 |
1.92 |
21.99 |
20.07 |
| 0.51 |
2.926 |
0.762 |
23.95 |
6.77 |
8.21 |
1.77 |
21.24 |
19.47 |
| 0.50 |
2.929 |
0.776 |
23.02 |
6.25 |
8.22 |
1.63 |
20.49 |
18.87 |
| 0.49 |
2.933 |
0.791 |
22.11 |
5.76 |
8.23 |
1.50 |
19.76 |
18.26 |
| 0.48 |
2.936 |
0.806 |
21.21 |
5.31 |
8.25 |
1.37 |
19.04 |
17.66 |
| 0.47 |
2.939 |
0.821 |
20.34 |
4.88 |
8.27 |
1.26 |
18.32 |
17.06 |
| 0.46 |
2.943 |
0.835 |
19.48 |
4.48 |
8.29 |
1.15 |
17.62 |
16.47 |
| 0.45 |
2.946 |
0.850 |
18.64 |
4.10 |
8.32 |
1.05 |
16.92 |
15.87 |
| 0.44 |
2.950 |
0.865 |
17.83 |
3.75 |
8.35 |
0.96 |
16.24 |
15.28 |
| 0.43 |
2.953 |
0.880 |
17.02 |
3.42 |
8.38 |
0.87 |
15.57 |
14.69 |
| 0.42 |
2.957 |
0.895 |
16.24 |
3.11 |
8.41 |
0.79 |
14.91 |
14.11 |
| 0.41 |
2.960 |
0.910 |
15.48 |
2.83 |
8.45 |
0.72 |
14.26 |
13.54 |
| 0.40 |
2.964 |
0.925 |
14.73 |
2.56 |
8.49 |
0.65 |
13.62 |
12.97 |
| 0.39 |
2.967 |
0.940 |
14.00 |
2.31 |
8.53 |
0.59 |
12.99 |
12.41 |
| 0.38 |
2.971 |
0.955 |
13.30 |
2.09 |
8.57 |
0.53 |
12.38 |
11.85 |
| 0.37 |
2.974 |
0.970 |
12.60 |
1.87 |
8.62 |
0.47 |
11.77 |
11.30 |
| 0.36 |
2.978 |
0.985 |
11.93 |
1.68 |
8.67 |
0.42 |
11.18 |
10.76 |
| 0.35 |
2.982 |
1.000 |
11.28 |
1.50 |
8.72 |
0.38 |
10.61 |
10.23 |
| 0.34 |
2.985 |
1.016 |
10.64 |
1.34 |
8.78 |
0.34 |
10.04 |
9.70 |
| 0.33 |
2.989 |
1.031 |
10.03 |
1.19 |
8.83 |
0.30 |
9.49 |
9.19 |
| 0.32 |
2.992 |
1.046 |
9.43 |
1.05 |
8.89 |
0.26 |
8.95 |
8.69 |
| 0.31 |
2.996 |
1.062 |
8.85 |
0.92 |
8.95 |
0.23 |
8.42 |
8.19 |
| 0.30 |
2.999 |
1.077 |
8.29 |
0.81 |
9.02 |
0.20 |
7.91 |
7.71 |
| 0.29 |
3.003 |
1.092 |
7.74 |
0.71 |
9.08 |
0.18 |
7.42 |
7.24 |
| 0.28 |
3.007 |
1.108 |
7.22 |
0.61 |
9.15 |
0.15 |
6.93 |
6.78 |
| 0.27 |
3.010 |
1.123 |
6.71 |
0.53 |
9.22 |
0.13 |
6.46 |
6.33 |
| 0.26 |
3.014 |
1.139 |
6.22 |
0.46 |
9.29 |
0.11 |
6.01 |
5.89 |
| 0.25 |
3.018 |
1.154 |
5.75 |
0.39 |
9.37 |
0.10 |
5.57 |
5.47 |
| 0.24 |
3.021 |
1.170 |
5.30 |
0.33 |
9.44 |
0.08 |
5.15 |
5.06 |
| 0.23 |
3.025 |
1.186 |
4.87 |
0.28 |
9.52 |
0.07 |
4.74 |
4.67 |
| 0.22 |
3.029 |
1.201 |
4.46 |
0.23 |
9.60 |
0.06 |
4.34 |
4.29 |
| 0.21 |
3.032 |
1.217 |
4.06 |
0.19 |
9.69 |
0.05 |
3.97 |
3.92 |
| 0.20 |
3.036 |
1.233 |
3.68 |
0.16 |
9.77 |
0.04 |
3.61 |
3.57 |
|