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12-stringer shell 6-stringer according ak+l applied approximately arbitrary assumed assumption axes of symmetry axial forces bending force group bulkhead ring characteristic force groups circular functions coeffi concentrated forces convexing force group corresponding cosh cross section cutaway portion cyclical symmetry determined difference equations effect elasticity equations elementary stress end bulkhead equal bays finite force distribution forco fuselages hyperbolic functions infinitely long shell kth bay linear linearly independent load coefficients longitudinal forces main spars mixed displacement coefficients monocoque neutral axis normal forces obtained orthogonal principal system quadratic forms radial load shear flow shell length shell model shell shapes shown in figure simply symmetrical sinh skin thickness smail solution static redundancies statically indeterminate computation stress condition stress distribution stringers and sheet symmetrical force group table of formulas tangential loading tion torsion transverse forces transverse stiffener walls transverse walls Xs,k