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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 (author)
Transactions of the American Society of Civil Engineers ; 39 ; 96-107
2021-01-01
121898-01-01 pages
Article (Journal)
Electronic Resource
Unknown
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