View source for Elastic Timoshenko Beam Column Element

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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:

{| 
| style="background:lime; color:black; width:800px" | ''' element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Iz $Avy $transfTag <-mass $m> <-cMass>'''
|}

For a three-dimensional problem:

{| 
| style="background:lime; color:black; width:800px" | ''' element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Jx $Iy $Iz $Avy $Avz $transfTag <-mass $m> <-cMass>'''
|}

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{|
|  style="width:150px" | '''$eleTag''' || unique element object tag
|-
|'''$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
|}


NOTES:

The valid queries to an elastic Timoshenko beam element when creating an ElementRecorder object are 'force'.

For solid rectangular sections, shear area is often assumed to be 5/6 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

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Code Developed by: <span style="color:blue"> Andreas Schellenberg </span>