7 .A3 Therefore, the force available to balance the effects of internal pressure and centrifugal acceleration is just 2o 0 t. Resolving the applied force into components parallel to the o 0 t forces, we obtain: F' Fsin o:: ds Rdcr F'ds FR sin cr dcr where F' component of applied force parallel to o 0 t R radius of hull= 1OOm ds differential element of hull area Now we balance the total applied force with the force of the induced hoop stress: 'TT 2o 0 t !FR sin cr dcr 0 RF 0 e = t -FR cos cr +2RF This result, together with the results of Appendix VII.E, forms the basis for the calculations carried out in Sections VII.4.3.1 and VII.4.4. The hemispherical endcaps would develop membrane stresses equal to li if the applied forces acted normal to the hull surface. This is the case for the component due to internal atmospheric pressure. However, the component of force due to the centrifugal acceleration of the hull and attached masses is directed radially outward from the spin axis of the hull, and is thus normal to the hull surface only in the cylindrical section. The determination of the stress state in the endcaps and at the endcap/cylinder junction is left for future study due to the constraints of limited time and manpower.
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