Users:General FEM Analysis/Elements Reference/Beam1
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!THETA | !THETA | ||
|0 | |0 | ||
| − | | | + | |Angle of rotation of the local coordinate system around the beam axis in degrees |
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AREA=5.555 IYY=1.222 IZZ=1.333 | AREA=5.555 IYY=1.222 IZZ=1.333 | ||
KY=1.4 KZ=1.5 | KY=1.4 KZ=1.5 | ||
| + | THETA=90 | ||
</pre> | </pre> | ||
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== Theory == | == Theory == | ||
| − | The element implementation | + | The element implementation mainly follows the implementation of a linear 3D-beam element in |
FELyX <ref name="FELyX"> https://www.rdb.ethz.ch/projects/project.php?proj_id=8314 </ref>, | FELyX <ref name="FELyX"> https://www.rdb.ethz.ch/projects/project.php?proj_id=8314 </ref>, | ||
Schwarz <ref name="Schwarz1991">Schwarz, H.: Methode der Finiten Elemente, Teubner, 1991</ref> and | Schwarz <ref name="Schwarz1991">Schwarz, H.: Methode der Finiten Elemente, Teubner, 1991</ref> and | ||
Revision as of 13:32, 14 May 2012
Contents |
General Description
Element Type
- This beam element is a 2 node linear 3D-beam taking into account shear deformation (Timoshenko-beam element).
- This beam element has 6 DOFs per node (three translations and three rotations)
- The stiffness matrix is hard-coded, thus not needing any integration (and obviously limited to linear applications).
Degrees of Freedom
For the Beam1 element use the 3 translatoric degrees of freedom DISP_X, DISP_Y, DISP_Z and the 3 rotatoric degrees of freedom ROT_X, ROT_Y, ROT_Z.
Input Parameters
Parameter Description
| Compulsory Parameters | ||
| Parameter | Values, Default(*) | Description |
|---|---|---|
| MAT | EL-MAT int | Number for the used Material
e.g. MAT=EL-MAT 1 |
| AREA | Definition of the cross-sectional area of the beam | |
| IYY, IZZ | Definition of the moments of inertia | |
| Optional Parameters | ||
| KY, KZ | 0 | Shear correction factor; if 0 or no value specified, shear is not taken into account (Bernouolli-beam theory) |
| THETA | 0 | Angle of rotation of the local coordinate system around the beam axis in degrees |
Example of a Complete Input Block
EL-PROP 1 : BEAM1 MAT= EL-MAT 1 AREA=5.555 IYY=1.222 IZZ=1.333 KY=1.4 KZ=1.5 THETA=90
Use of the shear correction factors KY and KZ
The shear correction factors KY and KZ depend on the cross section of the beam. For a rectangle, KY resp. KZ are equal to 1.2, which gives a factor of α=1/Ki=5/6.
Element Loading
For the moment, only nodal forces in the three global directions can be applied (i.e. Fx, Fy, Fz).
Pressure
- not defined yet
Dead Load
- not defined yet
Snow Load
- not defined yet
Theory
The element implementation mainly follows the implementation of a linear 3D-beam element in FELyX [1], Schwarz [2] and Wunderlich [3].
References
- ↑ https://www.rdb.ethz.ch/projects/project.php?proj_id=8314
- ↑ Schwarz, H.: Methode der Finiten Elemente, Teubner, 1991
- ↑ Wunderlich, W.: Statik der Stabtragwerke, Teubner, 2004
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