Large deflection bending and buckling analysis of arches
Tawfik, Adel Said
Austin, Walter J.
Master of Science
A numerical procedure is presented herein for the analysis of buckling of arches under the effect of general unsymmetrical loadings. The prebuckling deflections caused by the loadings are considered. The analysis is nonlinear and is limited to the elastic behavior. A numerical integration technique combined with a successive approximation procedure is used for the large deflection bending analysis and for a linear buckling analysis. The numerical integration technique is based on the method developed by Newmark for straight beams and the adaptations made by Austin. A computer program was developed to solve the problem and to provide valuable quantities for design studies. The program can handle general unsymmetrical distributed and concentrated loads for circular and parabolic arches. Effects of different parameters on the buckling loads were studied for various rise-span ratios, end conditions, and arch geometries. Rib shortening was also considered. The solutions were obtained to an accuracy of about .5 percent. A classical bending and buckling numerical analysis which does not consider prebuckling deflections was also developed to check the accuracy of the numerical integration and to provide values to start the iterations in the large deflection analysis.