| Abstract: | Conclusions 1. For absolutely rigid slabs, the solution according to schemes A and B yields an approximation to the exact solution, from above and from below, for all the loadings here considered. Thus it is possible to obtain an upper and a lower evaluation of B. N. Zhemochkin's solution, for any number of unknowns. The solution according to scheme A converges somewhat more rapidly.2. For n=22, the greatest error in the values of the moments in a slab under a uniformly distributed load amounts to 8%. If the number of sections or the rigidity of the slab is increased, the error diminishes.3. For flexible slabs, the solution according to schemes A and B may not yield an approximation from both sides; the determining factors in this case are the flexibility parameters of the slab and the nature of the loading.It must be pointed out that a soil bed is not a linearly-deformable body. Even with small loads, plastic deformations take place in the soil under the edges of beams and slabs; they result in a considerable decrease of the maximum values of the reactions at the edges, and in a modification of the entire diagram of the reactions. For this reason, in many cases involving soil beds, the results of an analysis carried out by using a small number of unknowns show a better agreement with the experimental data than the results obtained by using a greater number of unknowns.Translated from Osnovaniya, Fundamenty i Mekhanika Gruntov, No. 1, pp. 5–7, January–February, 1970. |
