Un poteau est composé d'une section en béton (rectangle 100/200) et d'une section en acier (profilé I 200). It is subjected to pressure force. Determine the critical load and corresponding load factor. The theoretical solution is based on the buckling of a simple beam. In this case, two regions have to be taken into account due to different moments of inertia and material properties.
Une poutre quart de cercle de section rectangulaire est chargée par une force hors plan. This force causes a bending moment, torsional moment, and transverse force. While neglecting self-weight, determine the total deflection of the curved beam.
Un système à double masse est composé de deux puits et de deux masses représentées par les moments d’inertie correspondants, concentrés dans une distance donnée sous forme de masses nodales. The left shaft is fixed, and the right mass is free. Neglecting the self‑weight of the shafts, determine the torsional natural frequencies of the system.
Cet exemple sert de démonstration du couplage de diaphragme. The application is shown on a two-story structure. The structure is loaded by means of lateral forces according to Figure 1. Determine the maximum deflection of the structure ux in the direction of the loading forces using both the diaphragm constraint and the plate model of the floor.
Une barre avec les conditions aux limites données est chargée par un moment de torsion et un effort normal. Neglecting its self-weight, determine the beam's maximum torsional deformation as well as its inner torsional moment, defined as the sum of a primary torsional moment and torsional moment caused by the normal force. Provide a comparison of those values while assuming or neglecting the influence of the normal force. The verification example is based on the example introduced by Gensichen and Lumpe.
Une poutre est entièrement encastrée (gauchissement limité) à l'extrémité gauche et supportée par un appui à fourche (gauchissement activé) à l'extrémité droite. The beam is subjected to a torque, longitudinal force, and transverse force. Determine the behavior of the primary torsional moment, secondary torsional moment, and warping moment. The verification example is based on the example introduced by Gensichen and Lumpe.
Un porte-à-faux profilé en I est supporté à l'extrémité gauche et chargé par un couple. The aim of this example is to compare the fixed support with the fork support and to investigate the behavior of some representative quantities. Comparison is also made to the solution by means of plates. Small deformations are considered, and the self-weight is neglected. Determine the rotation in the midpoint of the cantilever, and in case of the member entity with warping, determine the values of the primary torsional moment, the secondary torsional moment, and the warping moment both on the left end (point A) and the right end (point B).