Graphical Arch Analysis Applicable to Arch Dams

In this paper is presented a system, mostly graphical, for analyzing unsymmetrical fixed-end arches of variable thickness and radius under loads of any type. The general equations of arch analysis are first written, from which the deflections and stresses in the arch may be obtained. These equations are then modified to include the concept of a “trial crown thrust,” this concept making it possible to obtain arch stresses and deflections with all necessary accuracy when the greater part of the computations are performed graphically. The graphical constructions used in evaluating the equations are developed, the procedure is outlined in detail, and an illustrative example is given.