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Table 3 Comparison of analytical and numerical solutions

From: A 99 line code for discretized Michell truss optimization written in Mathematica

κ \(\arctan (\sqrt \kappa)\) Exact volumea Num. vol. \(\overline{V}_\sigma\) Relative error [%] CPU time [s]
1 45° 11.8273 11.8406 0.112 579
3 60° 23.2900 23.3176 0.118 720
5 66° 34.6664 34.7083 0.121 731
7 69° 46,0208 46,0777 0,124 753
9 72° 57.3665 57.4380 0.125 788
100 84° 573.8080 889
  1. aExact-analytical results from Graczykowski and Lewiński (2010)