Journal of Engineering Mathematics vol:59 issue:3 pages:323-336
This paper proposes an analytical elasto-plastic model to describe the behavior of arches. The modeling is carried out by using the equations of (i) horizontal equilibrium, (ii) vertical equilibrium and (iii) equilibrium of moments. These three equations of equilibrium are ordinary di®erential equations which can easily be solved by adding boundary conditions, imposing restrictions on the horizontal and vertical movement and on the rotation in the abutments of the arch. For masonry arches, it is necessary to include material properties allowing the occurrence of cracks and the subsequent formation of hinges. The latter theory has been implemented in a computer program (Matlab), o®ering a numerical simulation. The software was also used to illustrate two case-studies, i.e., the assessment of an arch loaded with a vertical point load and one with a horizontal point load.