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Plate Bending Triangle Element with 12 dof

Posted by Win Aung Cho on 27-Sept-2009

Contents

Plate Bending Analysis (FEMKERN)

Input Data Format

Plate Bending 3
:INIT
8 9 3 1
:MATERIAL
10000 0.3 1 0 0
:NODE
0 0
0 1
0 2
3 0
3 1
3 2
6 0
6 1
6 2
:ELEMENT
1 4 5 1
2 1 5 1
2 5 3 1
6 3 5 1
4 7 8 1
8 5 4 1
5 8 6 1
8 9 6 1
:BOUNDARY
1 0 0 0   2 0 0 0   3 0 0 0
:FORCE
3
7 1 0 0
8 1 0 0
9 1 0 0
0

Out put Data Format

Data file name is C:\BDAPP\Tri_Plate\TRIBEND3.DAT.

Coordinates (X, Y) and Displacements for each node
 No.         X        Y          w               thx            thy
:DISPLACEMENT
   1     0.000    0.000     +0.000000    +0.000000    +0.000000
   2     0.000    1.000     +0.000000    +0.000000    +0.000000
   3     0.000    2.000     +0.000000    +0.000000    +0.000000
   4     3.000    0.000     +0.036900    +0.022916    +0.001539
   5     3.000    1.000     +0.037609    +0.022686    +0.000000
   6     3.000    2.000     +0.036901    +0.022916    -0.001538
   7     6.000    0.000     +0.121156    +0.030745    +0.001027
   8     6.000    1.000     +0.121692    +0.031905    +0.000001
   9     6.000    2.000     +0.121158    +0.030746    -0.001025

Forces
Coordinates  X & Y, Direct (Mx My) and Twisting (Mxy) Moments
         per unit length
 No.      X        Y             Mx             My            Mxy    
:MOMENT
   1     0.000    0.000         8.7981         2.8931         0.3829
   2     0.000    1.000         9.1103         2.7331         0.0001
   3     0.000    2.000         8.7985         2.8933        -0.3828
   4     3.000    0.000         4.3012         0.2447        -0.2973
   5     3.000    1.000         4.2296         0.0213         0.0001
   6     3.000    2.000         4.3011         0.2446         0.2975
   7     6.000    0.000        -0.1542        -0.7937         0.3169
   8     6.000    1.000         0.9225        -1.2932         0.0001
   9     6.000    2.000        -0.1542        -0.7936        -0.3167

Coordinates  X & Y, Reactions Ry, Moments Mx & My
 Node.    X        Y             Ry             Mx            My     
:REACTION
   1     0.000    0.000        -0.6927        -4.6574        -2.8151
   2     0.000    1.000        -1.6135        -8.6814         0.0001
   3     0.000    2.000        -0.6933        -4.6577         2.8151

:HISTORY
Self-Weight             0.000
Total Area             12.000
Total Supports          3
Band Width             14
Nos. of Elements        8
Nos. of Nodes           9
Nos. of Boundary        3
Nos. of Material        1
:INIT
8 9 3 1

Method of Analysis

Structural analysis is based on Finite Element Method. Stiffness properties of elements are derived using finite element formulation. Stiffness properties are evaluated accurately for the static loading and linear stress-strain relations. Beam, column and trussbar elements are connected via nodes. All external loads having 6-force components are acting inspace of 3-dimensional structure.

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