Evaluation of safety coefficient of axi-symmetric masonry domes with variable profile, carrying its own weight only

The objective of this work is to present a method suitable for determining the safety coefficient of axi-symmetric domes with variable profile carrying its own weight, using a linear formulation founded on the limit analysis theorems. The geometrical modeling is obtained through Autocad. In the hypothesis of geometrical, mechanical and loading symmetry it is possible to study a spherical sector only, adequate to describe the static behaviour of the entire dome. The main mechanical features are: discretization in rigid blocks; slide between the blocks with dilatancy; inability to carry tension; limited compressive strength. The evaluation of safety coefficient is founded on the utilization of limit analysis static theorem and it is obtained determining the load multiplier that defines a collapse mechanism. The optimization of solution is obtained with Excel’s Solver. At last, the collapse mechanism has been found.