In this paper, the failure condition of elliptical masonry arches subjected to dead loads in case of finite displacements of the supports is investigated. This is achieved by adopting the kinematic approach of Limit Analysis and considering the deformed configuration of the structure, modelled as a system of rigid blocks in frictional contact. At this aim, a new numerical tool for the evaluation of the horizontal collapse displacement of the springings and of the relative thrust is proposed. An innovative aspect of the proposed modelling consists in the definition of the collapse condition, considering the classical attainment of a kinematic admissible mechanism and including a check regarding the activation of sliding phenomena as well. A parametric survey is carried out to investigate the influence of the involved parameters. Finally, to the advantage of structural engineers, abaci of the horizontal collapse displacement and of the relative thrust are provided.

本文研究了椭圆形砌体拱在支座有限位移情况下承受恒载的破坏条件。这是通过采用极限分析的运动学方法并考虑结构的变形配置来实现的，该结构被建模为摩擦接触中的刚性块系统。为此，提出了一种新的数值工具，用于评估弹簧的水平塌陷位移和相对推力。所提出的模型的创新之处在于塌陷条件的定义，考虑了运动学上可接受的机制的经典实现，还包括了关于滑动现象的激活的检查。进行参数调查以调查所涉及参数的影响。最后，