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analysis axial compression axisymmetrical loading bending theory boundary conditions buckling coefficient buckling load buckling pressure centroid Chap circumferential direction compressive stress cones subjected conical shell cos2 curved panels cylinders subjected cylindrical shell deflection design-allowable buckling stress determined displacements edge loadings elastic buckling elastic constants equations F Factors facing sheet factor of safety figure formulas geometry Hooke's law Hydrostatic pressure inelastic isotropic kL F lateral and axial material membrane forces membrane theory meridian middle surface monocoque obtained from Fig orthotropic cylinders parameter plasticity correction Poisson's ratio presented in Ref primary loading rotation sandwich cylinders shear modulus shear stress shell element shell of revolution shell theory shell wall shown in Fig sign convention Spherical Caps spherical shell statically indeterminate stiffeners stringers structure subjected to axial Table test data thickness toroidal torsion transverse shear unpressurized unstiffened values Young's modulus