Deflections in Gridworks and Slabs

Abstract
Because the exact determination of elastic deformations in plates and slabs by the mathematical theory of elasticity has proved to be impractical in all but the simple cases, engineers have been forced to devise approximate means of solution. A horizontal grid work of beams intersecting at right angles, with deformation characteristics analogous to those of a slab, will develop an elastic surface under normal load similar to the surface of the slab under the same load. A technique is presented to determine the elastically deformed surface of a plate or slab that has been transformed into an equivalent grid system. The method employs an auxiliary force system for controlling vertical displacements of the joints and a moment and torque distribution process for transmission of the displacement effects.

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