A Systems Design for a Prototype Space Colony

7.Dl APPENDIX VII.D LEAK BEFORE BREAK DESIGN VII.D.l: LIST OF SYMBOLS a depth of a surface crack in inches A - Half length of a through crack in inches C - Half length of a surface crack in inches F - Total force per unit area applied to the outer hull in a radial direction K 1 - Stress intensity factor KlC - Critical stress intensity factor at which crack propagates unstably p 0 Q - Deep flaw magnification factor for surface cracks, plotted on Figure 7.D.3 - The applied hull internal pressure {40,530 N/m 2 or 5.88 psi) - Flaw shape parameter for surface cracks, plotted on Figure 7.D.2 - Radius of the outer hull {105m or 4134 in) - plate thickness t 2 - outer hull thickness in the case of a steel hull pAl - density of aluminum (0.098 lb/in 3 or 2720 kg/m 3 ) - effective density of bulkheads; average force per unit hull area exerted by apparent weight of bulkheads - density of hull material either aluminum or steel p 5 - area density of shielding mass (5000 kg/m 2 or 49,035 N/m2 or 7.112 psi) pst - density of steel (0.284 lb/in 3 or 7870 kg/m 3 )

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