|
Table A-5. 12-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 |
3.743 |
0.082 |
93.59 |
96.06 |
26.92 |
124.45 |
67.72 |
-56.73 |
| 0.98 |
3.745 |
0.100 |
91.71 |
92.24 |
22.21 |
89.45 |
70.25 |
-19.20 |
| 0.97 |
3.748 |
0.118 |
89.85 |
88.53 |
18.95 |
71.83 |
70.03 |
-1.80 |
| 0.96 |
3.750 |
0.136 |
88.01 |
84.93 |
16.56 |
60.51 |
69.10 |
8.59 |
| 0.95 |
3.753 |
0.155 |
86.18 |
81.45 |
14.74 |
52.38 |
67.92 |
15.54 |
| 0.94 |
3.755 |
0.173 |
84.38 |
78.07 |
13.31 |
46.14 |
66.64 |
20.50 |
| 0.93 |
3.758 |
0.191 |
82.59 |
74.81 |
12.16 |
41.15 |
65.32 |
24.17 |
| 0.92 |
3.760 |
0.209 |
80.83 |
71.64 |
11.22 |
37.03 |
63.99 |
26.96 |
| 0.91 |
3.763 |
0.228 |
79.08 |
68.57 |
10.43 |
33.56 |
62.68 |
29.12 |
| 0.90 |
3.765 |
0.246 |
77.35 |
65.61 |
9.76 |
30.58 |
61.38 |
30.79 |
| 0.89 |
3.767 |
0.264 |
75.64 |
62.74 |
9.19 |
28.00 |
60.09 |
32.10 |
| 0.88 |
3.770 |
0.283 |
73.95 |
59.97 |
8.70 |
25.72 |
58.83 |
33.11 |
| 0.87 |
3.772 |
0.301 |
72.28 |
57.29 |
8.27 |
23.70 |
57.58 |
33.88 |
| 0.86 |
3.775 |
0.320 |
70.63 |
54.70 |
7.90 |
21.89 |
56.36 |
34.46 |
| 0.85 |
3.777 |
0.338 |
68.99 |
52.20 |
7.57 |
20.27 |
55.15 |
34.89 |
| 0.84 |
3.780 |
0.356 |
67.38 |
49.79 |
7.28 |
18.79 |
53.97 |
35.17 |
| 0.83 |
3.782 |
0.375 |
65.79 |
47.46 |
7.02 |
17.46 |
52.80 |
35.34 |
| 0.82 |
3.785 |
0.394 |
64.21 |
45.21 |
6.79 |
16.23 |
51.65 |
35.41 |
| 0.81 |
3.787 |
0.412 |
62.65 |
43.05 |
6.58 |
15.11 |
50.51 |
35.40 |
| 0.80 |
3.790 |
0.431 |
61.12 |
40.96 |
6.39 |
14.08 |
49.39 |
35.31 |
| 0.79 |
3.792 |
0.449 |
59.60 |
38.95 |
6.23 |
13.13 |
48.29 |
35.16 |
| 0.78 |
3.795 |
0.468 |
58.10 |
37.02 |
6.07 |
12.25 |
47.20 |
34.95 |
| 0.77 |
3.797 |
0.486 |
56.62 |
35.15 |
5.94 |
11.44 |
46.13 |
34.69 |
| 0.76 |
3.800 |
0.505 |
55.16 |
33.36 |
5.82 |
10.68 |
45.07 |
34.39 |
| 0.75 |
3.802 |
0.524 |
53.71 |
31.64 |
5.70 |
9.98 |
44.02 |
34.04 |
| 0.74 |
3.805 |
0.543 |
52.29 |
29.99 |
5.60 |
9.32 |
42.98 |
33.66 |
| 0.73 |
3.807 |
0.561 |
50.89 |
28.40 |
5.51 |
8.71 |
41.96 |
33.25 |
| 0.72 |
3.810 |
0.580 |
49.50 |
26.87 |
5.43 |
8.14 |
40.95 |
32.81 |
| 0.71 |
3.812 |
0.599 |
48.14 |
25.41 |
5.36 |
7.60 |
39.95 |
32.34 |
| 0.70 |
3.815 |
0.618 |
46.79 |
24.01 |
5.29 |
7.11 |
38.96 |
31.86 |
| 0.69 |
3.817 |
0.637 |
45.46 |
22.67 |
5.23 |
6.64 |
37.98 |
31.35 |
| 0.68 |
3.820 |
0.655 |
44.16 |
21.38 |
5.18 |
6.20 |
37.02 |
30.82 |
| 0.67 |
3.822 |
0.674 |
42.87 |
20.15 |
5.13 |
5.79 |
36.06 |
30.28 |
| 0.66 |
3.825 |
0.693 |
41.60 |
18.97 |
5.09 |
5.40 |
35.12 |
29.72 |
| 0.65 |
3.827 |
0.712 |
40.35 |
17.85 |
5.05 |
5.04 |
34.18 |
29.14 |
| 0.64 |
3.830 |
0.731 |
39.11 |
16.78 |
5.01 |
4.70 |
33.26 |
28.56 |
| 0.63 |
3.833 |
0.750 |
37.90 |
15.75 |
4.99 |
4.38 |
32.34 |
27.97 |
| 0.62 |
3.835 |
0.769 |
36.71 |
14.78 |
4.96 |
4.08 |
31.44 |
27.36 |
| 0.61 |
3.838 |
0.788 |
35.53 |
13.85 |
4.94 |
3.80 |
30.55 |
26.75 |
| 0.60 |
3.840 |
0.807 |
34.38 |
12.96 |
4.92 |
3.53 |
29.66 |
26.13 |
| 0.59 |
3.843 |
0.826 |
33.24 |
12.12 |
4.91 |
3.28 |
28.79 |
25.51 |
| 0.58 |
3.845 |
0.846 |
32.12 |
11.32 |
4.90 |
3.05 |
27.92 |
24.88 |
| 0.57 |
3.848 |
0.865 |
31.03 |
10.56 |
4.89 |
2.83 |
27.07 |
24.24 |
| 0.56 |
3.850 |
0.884 |
29.95 |
9.83 |
4.89 |
2.62 |
26.23 |
23.60 |
| 0.55 |
3.853 |
0.903 |
28.89 |
9.15 |
4.89 |
2.43 |
25.39 |
22.96 |
| 0.54 |
3.856 |
0.922 |
27.85 |
8.50 |
4.89 |
2.25 |
24.57 |
22.32 |
| 0.53 |
3.858 |
0.942 |
26.82 |
7.89 |
4.89 |
2.08 |
23.75 |
21.68 |
| 0.52 |
3.861 |
0.961 |
25.82 |
7.31 |
4.90 |
1.92 |
22.95 |
21.03 |
| 0.51 |
3.863 |
0.980 |
24.84 |
6.77 |
4.91 |
1.77 |
22.16 |
20.39 |
| 0.50 |
3.866 |
0.999 |
23.87 |
6.25 |
4.92 |
1.63 |
21.38 |
19.75 |
| 0.49 |
3.869 |
1.019 |
22.93 |
5.76 |
4.93 |
1.50 |
20.61 |
19.11 |
| 0.48 |
3.871 |
1.038 |
22.00 |
5.31 |
4.94 |
1.37 |
19.85 |
18.47 |
| 0.47 |
3.874 |
1.058 |
21.09 |
4.88 |
4.96 |
1.26 |
19.10 |
17.84 |
| 0.46 |
3.876 |
1.077 |
20.21 |
4.48 |
4.98 |
1.15 |
18.36 |
17.21 |
| 0.45 |
3.879 |
1.096 |
19.34 |
4.10 |
5.00 |
1.05 |
17.63 |
16.58 |
| 0.44 |
3.882 |
1.116 |
18.49 |
3.75 |
5.02 |
0.96 |
16.92 |
15.96 |
| 0.43 |
3.884 |
1.135 |
17.66 |
3.42 |
5.05 |
0.87 |
16.21 |
15.34 |
| 0.42 |
3.887 |
1.155 |
16.84 |
3.11 |
5.08 |
0.79 |
15.52 |
14.73 |
| 0.41 |
3.889 |
1.175 |
16.05 |
2.83 |
5.10 |
0.72 |
14.84 |
14.12 |
| 0.40 |
3.892 |
1.194 |
15.28 |
2.56 |
5.13 |
0.65 |
14.17 |
13.52 |
| 0.39 |
3.895 |
1.214 |
14.52 |
2.31 |
5.17 |
0.59 |
13.52 |
12.93 |
| 0.38 |
3.897 |
1.233 |
13.79 |
2.09 |
5.20 |
0.53 |
12.88 |
12.35 |
| 0.37 |
3.900 |
1.253 |
13.07 |
1.87 |
5.23 |
0.47 |
12.25 |
11.77 |
| 0.36 |
3.903 |
1.273 |
12.38 |
1.68 |
5.27 |
0.42 |
11.63 |
11.21 |
| 0.35 |
3.905 |
1.292 |
11.70 |
1.50 |
5.31 |
0.38 |
11.03 |
10.65 |
| 0.34 |
3.908 |
1.312 |
11.04 |
1.34 |
5.35 |
0.34 |
10.44 |
10.10 |
| 0.33 |
3.911 |
1.332 |
10.40 |
1.19 |
5.39 |
0.30 |
9.86 |
9.56 |
| 0.32 |
3.913 |
1.352 |
9.78 |
1.05 |
5.43 |
0.26 |
9.30 |
9.04 |
| 0.31 |
3.916 |
1.372 |
9.18 |
0.92 |
5.48 |
0.23 |
8.75 |
8.52 |
| 0.30 |
3.918 |
1.391 |
8.59 |
0.81 |
5.52 |
0.20 |
8.22 |
8.02 |
| 0.29 |
3.921 |
1.411 |
8.03 |
0.71 |
5.57 |
0.18 |
7.70 |
7.53 |
| 0.28 |
3.924 |
1.431 |
7.49 |
0.61 |
5.62 |
0.15 |
7.20 |
7.05 |
| 0.27 |
3.926 |
1.451 |
6.96 |
0.53 |
5.67 |
0.13 |
6.71 |
6.58 |
| 0.26 |
3.929 |
1.471 |
6.46 |
0.46 |
5.72 |
0.11 |
6.24 |
6.13 |
| 0.25 |
3.932 |
1.491 |
5.97 |
0.39 |
5.78 |
0.10 |
5.78 |
5.69 |
| 0.24 |
3.935 |
1.511 |
5.50 |
0.33 |
5.83 |
0.08 |
5.34 |
5.26 |
| 0.23 |
3.937 |
1.531 |
5.05 |
0.28 |
5.89 |
0.07 |
4.92 |
4.85 |
| 0.22 |
3.940 |
1.551 |
4.62 |
0.23 |
5.95 |
0.06 |
4.51 |
4.45 |
| 0.21 |
3.943 |
1.571 |
4.21 |
0.19 |
6.01 |
0.05 |
4.12 |
4.07 |
| 0.20 |
3.945 |
1.592 |
3.82 |
0.16 |
6.07 |
0.04 |
3.74 |
3.70 |
|