An analytical model to determine the ultimate load on masonry arch bridges
AbstractThis paper proposes an analytical elasto–plastic model to describe the behavior of arches. The modeling is carried out using the equations of (i) horizontal equilibrium, (ii) vertical equilibrium and (iii) equilibrium of moments. The latter equations of equilibrium are ordinary differential 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, including material properties allowing the occurrence of cracks and the subsequent formation of hinges is required. The latter theory has been implemented in a computer program (Matlab), offering numerical simulations. The software was 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.
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Bibliographic InfoPaper provided by Hogeschool-Universiteit Brussel, Faculteit Economie en Management in its series Working Papers with number 2007/37.
Length: 13 pages
Date of creation: 2007
Date of revision:
Publication status: Published in Journal of Engineering Mathematics, November 2007, pp. 323-336
Collapse load; Masonry arches; Numerical simulation; Ordinary differential equations;
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