Numerical solution of both ends fixed deep beams

✍ Scribed by S.Reaz Ahmed; A.B.M. Idris; Md.Wahhaj Uddin

• Book ID: 103483244
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 628 KB
• Volume: 61
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/0045-7949(96)00029-6

✦ Synopsis

This paper presents the exact solution of a two-dimensional elastic problem with mixed boundary conditions. It gives the complete solution in terms of displacement and stress components of both ends fixed deep beams, subjected to uniformly distributed compressive loading on the top edge. A new mathematical model has been used to formulate the problem. In this analysis both the governing equations and boundary conditions are expressed in terms of a new potential function 'Y which is defined in terms of displacement components. Finite-difference technique is used for the discretization of the bi-harmonic equation and the associated boundary conditions. All the parameters of interest in the solution are presented in the form of graphs. Finally, a comparison is made to ascertain how the elementary solutions differ with those of the present numerical solutions. The computed solutions are found to be highly accurate and rational, and thus establish the reliability and practicability of this numerical approach.