Elastic Timoshenko Beam Column Element
This command is used to construct an ElasticTimoshenkoBeam element object. A Timoshenko beam is a frame member that accounts for shear deformations. The arguments for the construction of an elastic Timoshenko beam element depend on the dimension of the problem, ndm:
For a two-dimensional problem:
| element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Iz $Avy $transfTag <-mass $massDens> <-cMass> |
For a three-dimensional problem:
| element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Jx $Iy $Iz $Avy $Avz $transfTag <-mass $massDens> <-cMass> |
| $eleTag | unique element object tag |
| $iNode $jNode | end nodes |
| $E | Young's Modulus |
| $G | Shear Modulus |
| $A | cross-sectional area of element |
| $Jx | torsional moment of inertia of cross section |
| $Iy | second moment of area about the local y-axis |
| $Iz | second moment of area about the local z-axis |
| $Avy | Shear area for the local y-axis |
| $Avz | Shear area for the local z-axis |
| $transfTag | identifier for previously-defined coordinate-transformation (CrdTransf) object |
| $massDens | element mass per unit length (optional, default = 0.0) |
| -cMass | to form consistent mass matrix (optional, default = lumped mass matrix) |
NOTES:
The valid queries to an elastic Timoshenko beam element when creating an ElementRecorder object are 'force'.
For solid rectangular sections, the shear area is 5/6 of the gross area. For solid circular sections, the shear area is 9/10 of the gross area. For I-shapes, the shear area can be approximated as Aweb.
EXAMPLE:
element ElasticTimoshenkoBeam 1 2 4 100.0 45.0 6.0 4.5 5.0 9; # elastic Timoshenko element with tag 1 between nodes 2 and 4 with E=100, G=45, A=6.0, I=4.5 and Av=5.0 which uses transformation 9
Code Developed by: Andreas Schellenberg
