An analysis of shells by a framework analogy

Abstract

The lattice analogy for plates is extended to shells. The analogous structure is a space frame composed of pin jointed members which represent the shell and stiff jointed members which represent edge beams or stiffening ribs. It is analyzed by the displacement method. Effects due to foundation settlement and temperature change are simulated by use of the analogous structure. For a given shell and all applied conditions there may be determined the deflections, secondary stresses, reactions, edge beam forces (moments, axial forces, and shears), and for each element in the shell, the maximum average stress, and the maximum shear. A comparison of the stresses computed by this method with those given by ideal membrane theory is good.