Large Sideward Deflections of Two-Hinged Circular Arches

Abstract

Deflections and stress resultants are calculated for hinged-hinged circular arches subjected to a horizontal point load at the crown. The underlying theory is based on the Bernoulli-Euler hypothesis. The magnitudes of deflections are unrestricted. The solutions are expressed in terms of Legendre’s elliptic integrals of the first and second kind. Calculated results are presented in graphical form. These include deflected configurations and load-deflection curves, as well as normal force, shearing force, and bending moment diagrams for arches with three different subtending angles and three different values of the applied load on each arch.