Abstract
This paper discusses the determination of the flexural stresses near an edge which coincides with a line of curvature of a non-shallow thin shell of arbitrary shape. It is assumed that in the interior of the shell the external loads can be supported by membrane action alone and that no very rapid changes of surface loading or edge traction occur. The analysis includes the non-linear effects in the equations of equilibrium and the middle surface strains when the normal deflexion of the shell is of the order of the thickness. A first order solution, with an error of order. √( t r ) , is given for the boundary layer stress system in an arbitrary shell. A second order solution, with an error of order t r , is derived for the restricted case of a shell of revolution under axially symmetrical load when the normal deflexion is of order t√( t r )
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