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📄 testa_pbar4.out

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                              < M A T L A B >
                  Copyright 1984-2002 The MathWorks, Inc.
                      Version 6.5.0.180913a Release 13
                                Jun 18 2002

  Using Toolbox Path Cache.  Type "help toolbox_path_cache" for more info.
 
  To get started, type one of these: helpwin, helpdesk, or demo.
  For product information, visit www.mathworks.com.
 
*********************************************************************
* FEMjr v 2.0 - Finite Element Method junior - An FEM framework     *
*********************************************************************
Enter name of input data file: 
inputfile =

testa_pbar4.dat


<<<<---- Data File Echo ---->>>>

TITLE - Four bars in series; applied loads and displ's. Same as testa but using equivalent bars.
NODES - # of nodes: 13; # of dimensions: 1
  #      ID                x                 y              z
  1      1                 1
  2      2                 2
  3      3                 3
  4      4                 4
  5      5                 5
  6      6            1.3333
  7      7            1.6667
  8      8            2.3333
  9      9            2.6667
 10     10            3.3333
 11     11            3.6667
 12     12            4.3333
 13     13            4.6667
ELEMENTS - # of elements: 4
  #     ID   elemType   propID   connectivity
 13     1    pBar4        1        1        6        7        2
 13     2    pBar4        2        2        8        9        3
 13     3    pBar4        3        3       10       11        4
 13     4    pBar4        4        4       12       13        5
PROPERTIES - # of properties: 4
  #   ID     propType         properties
  1    1    MatpBar            25             1             0             0
  2    2    MatpBar            20             1             0             0
  3    3    MatpBar            40             1             0             0
  4    4    MatpBar            10             1             0             0
CONSTRAINTS - # of constraints: 2
  #       nodeID    dof     value
  1         2         1            0.2
  2         5         1              0
LOADS - # of loads: 3
  #       nodeID    dof     value
  1         1         1              2
  2         3         1             -3
  3         4         1             -1

ke =

   92.5000 -118.1250   33.7500   -8.1250
 -118.1250  270.0000 -185.6250   33.7500
   33.7500 -185.6250  270.0000 -118.1250
   -8.1250   33.7500 -118.1250   92.5000


fe =

     0
     0
     0
     0


ke =

   74.0000  -94.5000   27.0000   -6.5000
  -94.5000  216.0000 -148.5000   27.0000
   27.0000 -148.5000  216.0000  -94.5000
   -6.5000   27.0000  -94.5000   74.0000


fe =

     0
     0
     0
     0


ke =

  148.0000 -189.0000   54.0000  -13.0000
 -189.0000  432.0000 -297.0000   54.0000
   54.0000 -297.0000  432.0000 -189.0000
  -13.0000   54.0000 -189.0000  148.0000


fe =

     0
     0
     0
     0


ke =

   37.0000  -47.2500   13.5000   -3.2500
  -47.2500  108.0000  -74.2500   13.5000
   13.5000  -74.2500  108.0000  -47.2500
   -3.2500   13.5000  -47.2500   37.0000


fe =

     0
     0
     0
     0



Stiffness Matrix and Load Vector after assembly
kglobal =

  Columns 1 through 7 

   92.5000   -8.1250         0         0         0 -118.1250   33.7500
   -8.1250  166.5000   -6.5000         0         0   33.7500 -118.1250
         0   -6.5000  222.0000  -13.0000         0         0         0
         0         0  -13.0000  185.0000   -3.2500         0         0
         0         0         0   -3.2500   37.0000         0         0
 -118.1250   33.7500         0         0         0  270.0000 -185.6250
   33.7500 -118.1250         0         0         0 -185.6250  270.0000
         0  -94.5000   27.0000         0         0         0         0
         0   27.0000  -94.5000         0         0         0         0
         0         0 -189.0000   54.0000         0         0         0
         0         0   54.0000 -189.0000         0         0         0
         0         0         0  -47.2500   13.5000         0         0
         0         0         0   13.5000  -47.2500         0         0

  Columns 8 through 13 

         0         0         0         0         0         0
  -94.5000   27.0000         0         0         0         0
   27.0000  -94.5000 -189.0000   54.0000         0         0
         0         0   54.0000 -189.0000  -47.2500   13.5000
         0         0         0         0   13.5000  -47.2500
         0         0         0         0         0         0
         0         0         0         0         0         0
  216.0000 -148.5000         0         0         0         0
 -148.5000  216.0000         0         0         0         0
         0         0  432.0000 -297.0000         0         0
         0         0 -297.0000  432.0000         0         0
         0         0         0         0  108.0000  -74.2500
         0         0         0         0  -74.2500  108.0000


load_vector =

     0
     0
     0
     0
     0
     0
     0
     0
     0
     0
     0
     0
     0


Load Vector after assembly of point loads
load_vector =

     2
     0
    -3
    -1
     0
     0
     0
     0
     0
     0
     0
     0
     0


Constrained Stiffness Matrix and Load Vector

 Stiffness and force terms only printed for small problems

<<<<---- Solution Results ---->>>>

SOLUTION VECTOR
 dof#      value
   1           0.28
   2            0.2
   3      0.0071429
   4      -0.014286
   5              0
   6        0.25333
   7        0.22667
   8        0.13571
   9       0.071429
  10    -8.5045e-17
  11     -0.0071429
  12     -0.0095238
  13     -0.0047619

Strain Energy (assume homogeneous displacement BCs) = 6.750714
ELEMENTAL POSTPROCESSING
  ID         f_i                 Sxx(end nodes)          energy
   1        2 6.22e-15 3.55e-15       -2          -2      -2       0.08

stress_nd =

   -2.0000   -2.0000   -2.0000   -2.0000

  ID         f_i                 Sxx(end nodes)          energy
   2     3.86 -6.44e-15 9.99e-16    -3.86       -3.86   -3.86      0.372

stress_nd =

   -3.8571   -3.8571   -3.8571   -3.8571

  ID         f_i                 Sxx(end nodes)          energy
   3    0.857 -5.55e-16        0   -0.857      -0.857  -0.857    0.00918

stress_nd =

   -0.8571   -0.8571   -0.8571   -0.8571

  ID         f_i                 Sxx(end nodes)          energy
   4   -0.143 1.11e-16        0    0.143       0.143   0.143    0.00102

stress_nd =

    0.1429    0.1429    0.1429    0.1429


Strain Energy = 0.462143

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