Elastic Timoshenko Beam Column Element: Difference between revisions
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| style="background:lime; color:black; width:800px" | ''' element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Iz $Avy $transfTag <-mass $ | | style="background:lime; color:black; width:800px" | ''' element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Iz $Avy $transfTag <-mass $massDens> <-cMass>''' | ||
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| style="background:lime; color:black; width:800px" | ''' element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Jx $Iy $Iz $Avy $Avz $transfTag <-mass $ | | style="background:lime; color:black; width:800px" | ''' element ElasticTimoshenkoBeam $eleTag $iNode $jNode $E $G $A $Jx $Iy $Iz $Avy $Avz $transfTag <-mass $massDens> <-cMass>''' | ||
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| style="width:150px" | '''$eleTag''' || unique element object tag | | style="width:150px" | '''$eleTag''' || unique element object tag | ||
|- | |- | ||
|'''$iNode $jNode''' ||end nodes | | '''$iNode $jNode''' ||end nodes | ||
|- | |- | ||
| '''$E''' || Young's Modulus | | '''$E''' || Young's Modulus | ||
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| '''$G''' || Shear Modulus | | '''$G''' || Shear Modulus | ||
|- | |- | ||
|'''$A''' || cross-sectional area of element | | '''$A''' || cross-sectional area of element | ||
|- | |- | ||
| '''$Jx''' || torsional moment of inertia of cross section | | '''$Jx''' || torsional moment of inertia of cross section | ||
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| '''$transfTag''' || identifier for previously-defined coordinate-transformation (CrdTransf) object | | '''$transfTag''' || identifier for previously-defined coordinate-transformation (CrdTransf) object | ||
|- | |||
| '''$massDens''' || element mass per unit length (optional, default = 0.0) | |||
|- | |||
| '''-cMass''' || to form consistent mass matrix (optional, default = lumped mass matrix) | |||
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The valid queries to an elastic Timoshenko beam element when creating an ElementRecorder object are 'force'. | The valid queries to an elastic Timoshenko beam element when creating an ElementRecorder object are 'force'. | ||
For solid rectangular sections, shear area is | 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. | ||
Latest revision as of 21:48, 25 March 2018
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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:
| 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