Résumé:
This Master’s thesis presents a detailed comparative study between two essential approaches used in the
analysis of statically indeterminate structures: the classical Force Method and the Finite Element Method
(FEM). The investigation focuses on continuous beams and planar frame structures, exploring their
theoretical principles, step-by-step procedures, and practical implementation. Through a series of
carefully developed case studies and numerical evaluations, the Force Method is highlighted for its exact
analytical solutions and pedagogical value, while the Finite Element Method is distinguished by its
computational versatility and its capacity to handle structures with complex geometries and varied
loading scenarios. The results of this study demonstrate the complementary nature of both methods: the
Force Method provides precise, physically meaningful outcomes, whereas FEM offers highly accurate
approximations supported by detailed graphical outputs of internal forces, stress and structural
deformations. By combining traditional analytical techniques with modern numerical tools, this work
underscores the value of integrating classical and contemporary methods to enhance structural analysis,
promote deeper understanding, and support more robust engineering decisions.
