摘要：In this paper ,a generation of a numerical algorithm for solving theory of elasticity plain problem concerning displacements is desired ; using difference equations that the method of successive approximations proceed through transforming a complex (to be solved) differential equation into an algebraic one that’s much more easier to solve. The algebraic equations resulted adopt both positioned nodes; interior nodes of a computational grid, and contour (boundary) nodes; including corner ones. The evaluation of the new generated algorithm is being validated through applying it on solving a problem of a laterally fixed deep-beam. Obtained numerical results out of the new algorithm to be compared with those early known and stated in the references listed at the last part of the article.
