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The usual derivation of Euler's formula for long columns does not show that it gives the load at which bending just begins. The following analysis brings out this important fact. It further gives an expression for the maximum deflection for a load very slightly exceeding that given by Euler's formula, and confirms that formula as a practical one within the usual limits. The following theory, as to method, is a closer approximation to the truth than the usual analysis, as the original (straight) and final (curved) axes of the column are nowhere confounded as in the common theory, where an approximation to the radius of curvature is assumed at the start.
The usual derivation of Euler's formula for long columns does not show that it gives the load at which bending just begins. The following analysis brings out this important fact. It further gives an expression for the maximum deflection for a load very slightly exceeding that given by Euler's formula, and confirms that formula as a practical one within the usual limits. The following theory, as to method, is a closer approximation to the truth than the usual analysis, as the original (straight) and final (curved) axes of the column are nowhere confounded as in the common theory, where an approximation to the radius of curvature is assumed at the start.
Theory of the Ideal Column
Cain, William (Autor:in)
Transactions of the American Society of Civil Engineers ; 39 ; 96-107
01.01.2021
121898-01-01 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
Correspondence on Theory of the Ideal Column
ASCE | 2021
|ASCE | 2021
|Engineering Index Backfile | 1949
|Engineering Index Backfile | 1950
|Ductile equilibrium column theory
Engineering Index Backfile | 1949
|