Research Article
Jan 1946
Column Formulas
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VIEW THE REPLYPublication: Transactions of the American Society of Civil Engineers
Volume 111, Issue 1
Abstract
An empirical column formula should be one that expresses theoretically possible relations . The prime requisites of any column formula or formulas are that the average stress be a continuous, monotonically decreasing function of the ratio of slenderness and that it approach the Euler value as the ratio of slenderness becomes infinite. Another desirable requisite is that the first derivative of the average stress with respect to the ratio of slenderness be continuous. These requirements impose certain restrictions on the constants in empirical formulas, and these restrictions are considered for a number of well-known and less well-known column formulas.
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Published In
Transactions of the American Society of Civil Engineers
Volume 111 • Issue 1 • January 1946
Pages: 165 - 171
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© 1946 American Society of Civil Engineers.
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Published in print: Jan 1946
Published online: Feb 10, 2021
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Authors
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William R. Osgood, M.ASCE
Materials Engr., National Bureau of Standards, Washington, D. C.
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