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Membrane stresses and radial displacements for a filament wound, open-ended composite shell with internal pressure loading are developed. The shell is considered to be open at the crown as required by planar filament winding. The shell thickness and material properties vary along the meridian line due to the filament winding process. The membrane stress resultants are compared with finite elements using large deflection nonlinear anisotropic axisymmetric elements for an ellipsoidal shell. Finite elements show large bending stresses near the open edge for an ellipsoid, spheroid and netting shell. The ellipsoid and spheroid shells also show bending stresses throughout the dome structure. Radial deformations are also compared to finite element results for the three dome types.