First-Order Solutions for the Buckling Loads of Euler-Bernoulli Weakened Columns Articles uri icon

publication date

  • May 2010

start page

  • 674

end page

  • 679

issue

  • 5

volume

  • 136

International Standard Serial Number (ISSN)

  • 0733-9399

Electronic International Standard Serial Number (EISSN)

  • 1943-7889

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.