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First-Order Solutions for the Buckling Loads of Euler-Bernoulli Weakened Columns |
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| Authors: | J. A. Loya G. Vadillo J. Fernández-Sáez |
| Affiliation: | 1Associate Professor, Dept. of Continuum Mechanics and Structural Analysis, Univ. Carlos III of Madrid, Avda. de la Universidad, 30, 28911 Leganés, Madrid, Spain (corresponding author). E-mail: jloya@ing.uc3m.es 2Assistant Professor, Dept. of Continuum Mechanics and Structural Analysis, Univ. Carlos III of Madrid, Avda. de la Universidad, 30, 28911 Leganés, Madrid, Spain. E-mail: gvadillo@ing.uc3m.es 3Full Professor, Dept. of Continuum Mechanics and Structural Analysis, Univ. Carlos III of Madrid, Avda. de la Universidad, 30, 28911 Leganés, Madrid, Spain. E-mail: ppfer@ing.uc3m.es |
| Abstract: | In this work, closed-form expressions for the buckling loads of a weakened column with different boundary conditions are presented. The cracked-column model is based on the well-known method consisting of dividing the column into two segments connected by a rotational linear spring whose flexibility is related to the crack size and the geometry of the cross section. For the formulation of closed-form expressions, the perturbation method is used and the results are compared with those found by directly solving the eigenvalue problem. |
| Keywords: | Cracking Columns Buckling Eigenvalues |