Journal of Theoretical
and Applied Mechanics

53, 4, pp. 847-858, Warsaw 2015
DOI: 10.15632/jtam-pl.53.4.847

Analyzing square plate in diagonal compression using Beltrami-Michell methodology

Djelloul Rezini, Abdelkrim Khaldi, Kouider Bouzid, Yahia Rahmani
This paper is concerned with the ``Study of photoelasticity and a photoelastic theoretical investigation of the stress distribution in Square Blocks subjected to concentrated diagonal loads'', a thesis topic by M.M. Frocht who developed the well-known semi empirical Shear Stress Difference method. Indeed, the use of the Beltrami-Michell methodology remains quick, when complemented by photoelasticity to acquire Dirichlet's conditions. The synergy of both methods is enhanced with the use of the finite difference method. In addition, a finite element analysis has provided results that will be a supplementary reference for validation. The results obtained have been of lower cost than those obtained by Frocht.
Keywords: photoelasticity, hybrid method, Beltrami-Michell, square-plate, diagonal compression