Design and verification of engineering structures require knowing the numerical values ​​of sectional internal forces as close to reality, considering that the intervention construction works are correlated with these values.Most of the computer programs are working with finite element method, which was designed by engineers and founded by mathematicians. After running the computer program, stresses and deformations maps are generated as results.Considering these results, using artificial neural networks, a computer program has been designed, which is able to determine internal forces of a section, namely axial force, shear force and bending moment.Neural network input parameters consist of color maps resulted from numerical modeling, numerical values ​​of the normal and tangential tensions and dimensions of the structural element.This procedure is particularly useful when using finite element programs that do not have the ability to determine sectional internal forces.

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The objective of the present paper represents the optimization of the excavation dimensions within underpinning works. Stress variations within the structural walls of an existing masonry church have been observed and interpreted for different lengths of the excavation section, in order to optimize the section length and to not exceed the allowable deformation limits. In this respect, nonlinear static analyzes using finite element program ANSYS Workbench have been performed, considering soil-structure interaction, for limited excavations that take place underneath the existing stone masonry foundation, laying on a multi-layered soil.