An analysis of a rectangular grid of perpendicular beams simply supported at the ends is presented. Bending, shearing, and torsional effects of beams with arbitrary cross sections are taken into account, and the beams may be subjected to uniform or concentrated loads. An energy method is used in the analysis, and a matrix formulation for determining the un known coefficients appearing in the Fourier series expression for the lateral deflection is given. This formulation is especially suited for computer application, and a computer program for performing the analysis is described. Data are presented for use in the design and evaluation of certain grid configurations. Applications to nonrectangular grids are also considered.
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