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Structural Research Series 186PDF


Title:Analysis and Design of Domes, Arches and Shells Volume II: Analysis of Circular Arches
Author(s):Eppink, R.T.; Veletsos, A.S.
Subject(s):Arch design and analysis
Circular arches
Abstract:This report is concerned with the analysis of the behavior of arch structures under dynamic loads. A numerical procedure is described for the computation of the dynamic response of circular arches subjected to transient forces for both the elastic range of behavior and for the range approaching failure. The problem is analyzed approximately by replacing the continuous arch by a framework consisting of a series of rigid bars and flexible joints. The scope of this investigation is described briefly in Chapter 1. The characteristics of the substitute framework are described in Chapter 2. In Chapter 3 the equations necessary for dynamic response calculations are derived, and an outline is given of the procedure for their solution. In Chapter 4 are presented the results of some studies on the computation of natural frequencies and buckling loads of uniform circular arches. The pertinent equations are formulated, and a number of numerical solutions are obtained for arches with fixed dimensions, by considering different numbers of bars in the analogous framework. These solutions are determined for the purpose of estimating the accuracy of the substitute framework. Included in Chapter 5 for convenience of reference, is a summary of existing formulas for the approximate calculation of natural frequencies and buckling loads of uniform, circular arches with hinged or fixed ends.
Issue Date:1959-07
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-186
Genre:Technical Report
Sponsor:Research Directorate, Air Force Special Weapons Center. Kirtland Air Force Base.
Contract AF 29(601)-464
Project 1080
Date Available in IDEALS:2009-09-11

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