.. _V3.01.404:

**v3.01.404** SSLL404 - Buckling an arch
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**Summary**

The field of application of this test is structural stability analysis. The structure studied is an arch bent by moments applied at both ends; it is modelled by straight beam elements. The aim is to calculate the critical values of the moments.

The interest of this test lies in the following aspects:

• calculation of a geometric rigidity matrix for elements POU_D_E.

• testing the modal methods of CALC_MODES in stability

• presence of neighboring eigenvalues

The calculated natural loads are compared to values obtained analytically for an Euler-Bernoulli beam model.

In this test, we also validate the option OPTION_INV =' RAYLEIGH '(under SOLVEUR_MODAL) of the CALC_MODES command.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Synth_se_des_r_sultats