Non-linear finite element analysis and
limit analysis comparison of the
Caaveiro stone arch bridge
J. D´ ıaz, L. Romera & S. Hern´ andez
Department of Structural Engineering, University of La Coru˜ na, Spain
Abstract
At the present time, there is no accepted procedure to determine the ultimate
load that a masonry arch bridge can support. Unlike in the analysis of other
structural typologies, it is not common to apply the finite element method to
the structural analysis of this construction type. This is because it is rather
complicated and expensive to know exactly many of the variables that characterize
the structural behaviour of a model, such as material properties, load history,
constructive sequence or its own geometric definition. On the other hand, the
special configuration of masonry arches, with evident discontinuities in the joints
between voussoirs, requires a unique and specific approach to the problem. It is not
realistic to consider a totally homogenous structure, as occurs in other typologies
and materials. In order to overcome these disadvantages, the purpose of this job
is to develop a finite element model, which allows us to know with reasonable
reliability, the maximum load that the bridge can support considering all the
characteristics of the masonry structures, while keeping the computational cost
under acceptable limits. The structure to be modelled is a stone arch bridge located
next to the Caaveiro monastery in the northwest of Spain. The finite element model
is a two-dimensional plane-stress model considering both geometric, material and
contact nonlinearity. The results from this model are compared with those obtained
from the limit analysis, considering the hypothesis of the plastic collapse of the
structure.
Keywords: finite element, nonlinear analysis, limit analysis, arch bridge.
Structural Studies, Repairs and Maintenance of Heritage Architecture X 555
© 2007 WIT Press WIT Transactions on The Built Environment, Vol 95,
www.witpress.com, ISSN 1743-3509 (on-line)
doi:10.2495/STR070521