# Buckling Linear

You can create and solve linear buckling problems in structural analysis.

To solve linear buckling, first apply a reference level of loading, ${f}_{ref}$ , to the structure.

Then, perform linear static analysis to obtain the stresses needed to form the geometric stiffness matrix, $K$ , corresponding to ${f}_{ref}$ . Calculate buckling loads by solving an eigenvalue problem. Not all eigenvalues are required; only a small number of the lowest eigenvalues are normally calculated for buckling analysis.

The lowest eigenvalue
${\lambda}_{crit}$
is associated with buckling. The critical, or
buckling, load is calculated as:

$${f}_{crit}\text{\hspace{0.17em}}=\text{\hspace{0.17em}}{\lambda}_{crit}{f}_{ref}$$

Note: Linear buckling is recommended for
slender structures. For all other assemblies, perform non-linear buckling via
geometric non-linear incremental analysis.