Abstract
An approximate elastic analysis of a uniformly loaded reinforced concrete floor system is presented. The approach used is to replace the slab with an equivalent orthogonal grid of elastic beams possessing torsional and flexural stiffness. The uniform load is divided into equivalent concentrated loads which are applied to the joints off the grid. The grid is then analyzed by making used of the simple principles of a structural analysis and a high speed digital computer. The bending moments and deflections that exist in the grid of beams are then taken to those of the slab which they replaced. Moments and deflections are computed for a uniformly loaded one-panel simply supported slab, a uniformly loaded one-panel slab with clamped edges, and a uniformly loaded three-panel by three-panel two-way slab supported by beams and columns. Moments are computed for a uniformly loaded three-panel by three-panel flat slab supported by columns. Comparisons are made with results determined by classical methods, by other approximate solutions, and by laboratory investigations. In general, the results are in good agreement with those determined by other methods.
Dell, Jack Harold (1967). A continuous three-panel by three-panel building slab analysis. Doctoral dissertation, Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -179158.