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4. TechTip: Comment modéliser des charges excentriques avec des liaisons rigides

# TechTip: Comment modéliser des charges excentriques avec des liaisons rigides

### What is an eccentric load?

An eccentric load is any load that is not applied to the centroid du membre. In finite element analysis, charges ponctuelles, charges réparties, and other forces are generally applied to the centroid of the section (e.g. the geometric center of the section). Par contre, in certain scenarios you may wish to apply a force off center – par exemple, applying a load to the flange of an I-beam, rather than the web. Assuming this is a lateral load, this will create a torsional force and an overall different loading behavior in the member.

### How to apply eccentric loads to a model

Here we’ll take you through an example of how you can use Liens rigides to apply such an eccentric load. By using Rigid Links, we can transfer the load from the centroid of the member to a different location. Liens rigides are extremely useful for this sort of work, as it automatically calculates the resultant moment and other forces from one location to another.

Head over to S3D and create a new model. Prochain, select the pen tool in the right panel or by tapping V. Click once to place the first node at the origin, then draw upward about 2m (6.5pi) to create a column.

Down in the corner by the coordinate system, Cliquez sur Sec1: Non défini, then in the left panel, Cliquez sur Constructeur to open section builder. Choose a column section, for this tech-note I have selected an Australian 150UC23.4, this is about a 6×6 I section for our imperial friends. In the left panel, click supports and add fixed support at Node 1.

Now we will add another member so we can create an eccentric load that induces torsion and another that creates a buckling effect on our column.

To see the orientation of your column, click the visibility icon on the right panel and select 3Membres D. Use the pen tool to draw a 300mm (1pi) member in the X direction from the top of the column. Si “3D memberis switched on, you will see this member uses the column section. Click the new member, then in the left panel, change the type attribute to Rigide et cliquez Appliquer.

Your model should look similar to the below:

Click Point Loads in the left panel. Fill out the attributes with the following values:

1. ID de nœud: 3
2. De l'ampleur: -5 (centre de torsion, add this value to Y Magnitude instead).
3. Groupe de charge: Buckling Load

Click apply and the point load will be added to the model. The Point Load ID will increment to 2 (Nouveau) so add another load to create torsion in the column:

1. ID de nœud: 3
2. Et l'ampleur: 2 (centre de torsion, add this value to Z Magnitude instead).
3. Groupe de charge: Torsion Load

Nœud 3 centre de torsion.

centre de torsion, then open render mode – centre de torsion. Change the drop-down in the left panel to Buckling load, the deflection scale to Auto, and the Member Results dropdown to Affichage des résultats de l'analyse de vos plaques. You can now see how the first eccentric load is causing a buckling effect.

Note that if you would like to see a finer subdivision of the member you can go to Paramètres Faire glisser de gauche à droite sélectionnera tout ce que la zone de sélection touche Solveur, change the Points d'évaluation par membre to a suitable number and run solve again.

Now change the dropdown from Buckling Load à Torsion Load et la Résultats des membres à Torsion Stress. Dans le cas présent, the member will appear grey as the torsion load is consistent throughout the member.

Notice that the contour scale in the top left still shows the magnitude of torsion that the column is experiencing.

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