Analysis of a partially loaded paraboloid of revolution and possible approximations of its solution
In this paper a partially loaded paraboloid of revolution is investigated by the theory of bent shallow shells. After establishing the sixth order linear system of equations it is concluded that the unknown coefficients cannot be expressed, cannot be given as practical formulas, thus useful approximate solutions are constructed for practical usage. The applicability limit of the column reaction approximated by concentrated load is investigated and the generated error of membrane action for this approximation is determined.