Sustainability researching of container which is under evenly distributed external load

Abstract

In this work is being explored sustainability of container, which consist of four elements: spherical and cylindrical shells, round plate and two circumferential ribs, which is welded at the interface of spherical with cylindrical shells and cylindrical shell with round plate. Thickness of all construction’s elements is equal. Shells and plates are thin: them thickness is much smaller than other sizes. Ribs are rigid on deflection but elastic on rotation is indicative of the center of the transverse. Shells’ edges pinched from displacement in the direction normal to the surface of the shells, which means an edge effect is formed. Container is under external evenly distributed load. For Stress-strain state researching assumed that left and right container’s edges do not affect each other. Were found critical loads for each container’s elements. Value of pressure is the lowest of critical pressure. Were solved task of elastic strength theory: were defined boundary conditions at the shell’ sinter face, by which is being found unknown constants for the solutions of the differential equations of the deflections of the middle surface of the cylindrical shell, the solution of the equation of the spherical shell, and the solution of the Sophie Germain equation. When constants were found – deflection and strain graphs are displayed, where it is possible to find the most vulnerable container’s places. Were found the highest strains on each container’s elements and the highest of them is comparing with tensile, to check for plastic deformations. To solve equations and build graphs, the MATLAB software package was used. Deflection and strain distribution were plotted. The tables with maximum critical pressures, maximum deflections and maximum stresses for each of the container elements were obtained. The cylindrical shell is found to be the most vulnerable element, since its critical pressure is the lowest.