Simplified selection of optimal shell in shape of translational surface

Abstract

Abstract The translational shells are arised by moving generatrix line along directrix line. Four shells of similar overall size and rising height are modelled in the present job, each generatrix coincide with directrix, the symmetric square plane is considered. The surface types are: surface of translation of circle along circle, catenary along catenary, sinus along sinus and ellipse along ellipse. The behaviour under equally distributed load like self-weight of 4 types of shells is considered, equally distributed load case while supporting on four corner points is considered. The solution is obtained by means of finite element analysis. The ratio of bending and membrane stresses is of interest as the criterion of optimal operation under load. The equalent von Mises stresses for abstract material with characteristics of reinforced concrete are obtained to reveal the most dangerous zones and evaluate the overall stress distribution. The study is of interest in view of perspectives to introduction into practise of structure elements of such shape.