.. _R3.08.04:

**r3.08.04** Beam element with 7 degrees of freedom to take warpage into account
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**Summary:**

This document presents element POU_D_TG, which is a finite right beam element taking into account the warping of sections. It allows the calculation of beams with thin cross sections and an open profile, with hampered or free twisting.

For flexure, normal and shear forces, this element is based on element POU_D_T, which is a straight beam element with transverse shear (Timoshenko model).

For element POU_D_TG, the cross section is assumed to be constant (of any shape) and the material is homogeneous and isotropic, with linear elastic behavior.

The POU_D_TGM element is to be used for non-linear behaviors.

This reference documentation is based on the general reference documentation for beams, in linear elasticity [:ref:`R3.08.01 <R3.08.01>`]. It describes the specificities of the right beam element with POU_D_TG warpage.




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

    Domaine_d_utilisation
    Notations
    Cin_matique_sp_cifique___la_torsion_avec_gauchissement
    _l_ment_de_poutre_droite_avec_gauchissement___matrices_de_rigidit__et_de_masse
    Rigidit__g_om_trique_-_Structure_pr_contrainte
    Chargements
    Torseur_des_efforts_-_Forces_nodales_et_r_actions
    Bibliographie
    Description_des_versions_du_document