Analysis and design of slender arches
Volz, Robert Dennis
Austin, Walter J.
Master of Science
A numerical procedure is presented for the elastic stress analysis of symmetric arches. Both linear and nonlinear methods of analysis are considered as well as a linear stability analysis. The procedure is very general and is applicable for either prismatic or nonprismatic arch ribs of different geometries, shapes, loading conditions, and slenderness ratios. The method of analysis employs a combination of a numerical integration technique and a successive approximations procedure. Both axial and bending deformations are considered. A computer program has been developed from the procedure to find the magnitude of a given load distribution which will produce first yielding in the arch. A study has been conducted to determine the location of a distributed live load which minimizes the magnitude of the load necessary to produce yielding. Comparisons are made with the results of linear and nonlinear analyses to determine situations for which a linear analysis is adequate.