Research Article
Dec 1964
Parabolic Arches of Variable Thickness
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 90, Issue 6
Abstract
Tabulations for aid in designing parabolic arches of variable depth are presented. Design coefficients usually given for these arches are restricted to a single abutment to crown thickness ratio for various rise to chord ratios. Even in the instance in which various abutment to crown thickness ratios are considered, only a few cases are treated because of the extensive tables needed to fully cover the case involving two parameters. To overcome this a variation in thickness was derived that permits the tabulation of the resistance of the arch to loads and end movements in terms of a single parameter, KA. Fixed end moment and reactions are given for four loading conditions. In addition, elastic constants are tabulated so that any degree of end restraint can be considered. The arch that will attain the optimum ratio of abutment to crown depth can thus be obtained without any extensive calculations. Furthermore, unusual and complex boundary conditions can be investigated.
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Published In
Journal of the Structural Division
Volume 90 • Issue 6 • December 1964
Pages: 65 - 87
Copyright
© 1964 American Society of Civil Engineers.
History
Published in print: Dec 1964
Published online: Feb 1, 2021
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Authors
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Alfred L. Parme, M.ASCE
Prin. Engr., Portland Cement Assn., Chicago, Ill.
Eugene P. Holland, AM.ASCE
Structural Engr., Portland Cement Assn., Chicago, Ill.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.