The structural behavior of three types of parabolic arches is studied in this thesis using classical methods and theories: stone masonry, reinforced concrete, and steel truss. Various classical methods and theories have been employed in the structural analysis, such as the Virtual Work method, Method of Elastic Center, Castigliano's second theorem, Betti's Law, Muller Breslau's principle, and Column Analogy Method. In the context of the graduate curriculum, which typically focuses on rectilinear structures, this thesis attempts to apply basic ideas of classical methods to derive analytic solutions for various types of arches (reactions and internal forces). AASHTO truck and lane loads, as well as specifications, have also been considered to comprehend the behavior of reinforced concrete and steel arch bridges subjected to moving vehicle loads. The main concepts of the structural stability of arches are also discussed. The primary objective of this study is to elucidate the main concepts of arch strength, enabling us to gain a better insight and understanding of the behavior and performance of different types of arches. Analytical equations for internal forces, deformation, and support reactions in the three types of fixed arches are derived when arches are subjected under symmetric and unsymmetric uniformly distributed loading conditions. Excel sheets were prepared for different cases of study, and one-third Simpson's Rule numerical integration was used to obtain results for the various case studies. It has been found that classical methods, with the assistance of numerical integration methods and simple programming using Excel sheets, remain powerful techniques for solving the bending problems of all types of arches. Several examples for rock, RC and steel arches with different spans, when arches are subjected under asymmetric and unsymmetric uniformly distributed loading conditions, using the analytical equation are illustrated, the change in internal forces occurred with the change in angle ? is illustrated. When arches are subjected under symmetric uniformly distributed loading condition the axial force diagram indicates that maximum force axial force occurs at the springs and it gradually decreases towards the crown. The moment diagram shows maximum moment at the crown. Analytical equation when arches are subjected to unsymmetric uniformly distributed loading condition are developed. The axial force diagram indicates that is not symmetrical on both sides of the arch. The shear force is largest at the springs. The moment diagram shows zero moment at the crown.