Truncated Conical Bottom Plate

The patent applies curvature by transitioning from flat or simple domed bottoms to a truncated conical base with curved transition surfaces. The conical shape with gradual transitions provides enhanced rigidity through geometric distribution of stress, while the curved surfaces eliminate sharp angles that compromise structural integrity. This curvature principle directly addresses the rigidity deficiency of conventional flat or domed designs.

The base construction is segmented into distinct functional zones: a bottom flat region, a conically extending planar surface, transition radii, and a plateau. This segmentation allows each zone to perform its specific function - the bottom flat provides a stable base, the conical surface provides structural strength, the transitions provide smooth coating surfaces, and the plateau provides additional support. This segmented approach achieves complex functionality while maintaining manufacturability.

The patent replaces sharp angled transitions with curved transition surfaces defined by transition radii. These curved surfaces eliminate the sharp angles and intersections that cause coating failure, providing smooth continuous surfaces that maintain coating integrity. The curvature distributes stress evenly and prevents the concentration of forces that would compromise the coating at sharp corners.

Different regions of the base are given different geometric qualities suited to their function: the bottom flat provides a stable foundation, the conical surface provides structural strength, and the transition radii provide smooth coating surfaces. Each local region has optimized geometry for its specific purpose, with transition zones specifically designed with curvature to protect the coating while maintaining overall structural integrity.

The curved transition surfaces with transition radii eliminate sharp angles that compromise both coating integrity and moisture resistance. The smooth continuous surfaces prevent moisture ingress paths that would otherwise exist at sharp transitions, while the conical geometry provides structural strength through efficient stress distribution. This curvature approach simultaneously addresses both moisture resistance and structural strength requirements.

The base construction combines multiple material layers and geometric forms to achieve both strength and moisture resistance. The paperboard material itself provides structural strength, while the raised base construction with curved transitions provides a barrier to moisture ingress. The composite nature of the raised base structure creates multiple pathways for strength while maintaining a continuous barrier against moisture.