Analysis and Design of Domes, Arches and Shells Volume II: Analysis of Circular Arches

Eppink, R.T.; Veletsos, A.S.

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https://hdl.handle.net/2142/13732 Copy

Description

Title

Analysis and Design of Domes, Arches and Shells Volume II: Analysis of Circular Arches

Author(s)

• Eppink, R.T.
• Veletsos, A.S.

Issue Date

1959-07

Keyword(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.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-186

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/13732

Sponsor(s)/Grant Number(s)

• Research Directorate, Air Force Special Weapons Center. Kirtland Air Force Base.
• Contract AF 29(601)-464
• Project 1080

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