6.Cl APPENDIX VI. C ESTIMATES or MOMENT or INERTIA VI.C.l: ESTIMATE OF MOMENT OF INTERTIA ABOUT SPIN AXIS OF FIRST HULL DESIGN Figure 6.Cl presents a model of the first hull configuration. The hull proper is considered to be a constant-density, constant thickness pressure vessel, made from a cylindrical section of radius 100 meters and length 100 meters, with hemispherical endcaps of the same density, thickness, and radius. The cylinder and endcaps are considered to be thin shells. The moment of inertia equations in this appendix are from (6.Cl). I zcylindrical hull section (Mass cylindrical hull section) (Radius) 2 = 2rr (100) (100) hp (100) 2 where P = density and h = thickness. The Structures Group had decided on a low-carbon steel hull of thickness .056 meters. The density of low-carbon steel is 7.86x10 3 kg/m 3 . (6.Cl). I =2.77 x 10 11 kg/m 2 zcylindrical hull section I zendcaps }(Mass endcaps) (Radius) 2 The dirt in the agricultural areas is modeled as a thinshell cylinder of radius 100 meters, length 100 meters, constant thickness .3 meters, and constant density 2000 kg/m 3 . I = 2rr (100) (100) (. 3) (2000) (100) 2 = 3 . 77 x 10 11 kg-m 2 zdirt
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