Homework #4
02/17/2016
Christopher Demby
Overview:
The model is shown in Figure 1 as the total structure. This is a beam that is 25mm by 50mm cross-
section that is 400mm long. The element consists of a meshing size of ten separations. The loading that
is applied is in the center of the beam at 10000N, which applies a bending stress on the beam, which is
seen in Figure 2. At key point 1, the point is constrained in all degrees of freedom.at the other end, key
point 2, the constraint is only applied in the y axis, due to the point being a roller point.
                    Figure 1: The total structure rendered with correct cross-section.
            Figure 2:The deformation in the beam with the outline of the original dimensions.
Analysis:
Below, the results are shown. The nodes experience strain, with the maximum being experienced in
node 7. Node 1 experiences a moment force that is displayed in the bottom results. The forces that act
in each node can also be reviewed below. Here, the increase of displacement can be seen closer to the
center of the structure at node which agrees with the deformation of the structure in Figure 2.
PRINT U   NODAL SOLUTION PER NODE
 ***** POST1 NODAL DEGREE OF FREEDOM LISTING *****
 LOAD STEP= 1 SUBSTEP= 1
 TIME= 1.0000  LOAD CASE= 0
 THE FOLLOWING DEGREE OF FREEDOM RESULTS ARE IN THE GLOBAL COORDINATE SYSTEM
  NODE     UX      UY      UZ    USUM
    1 0.0000 0.0000 0.0000 0.0000
    2 0.0000 0.0000 0.0000 0.0000
    3 0.0000 -0.94976E-08 0.0000 0.94976E-08
    4 0.0000 -0.29651E-07 0.0000 0.29651E-07
    5 0.0000 -0.54220E-07 0.0000 0.54220E-07
    6 0.0000 -0.76964E-07 0.0000 0.76964E-07
    7 0.0000 -0.91641E-07 0.0000 0.91641E-07
    8 0.0000 -0.90482E-07 0.0000 0.90482E-07
    9 0.0000 -0.77876E-07 0.0000 0.77876E-07
   10 0.0000 -0.56686E-07 0.0000 0.56686E-07
   11 0.0000 -0.29774E-07 0.0000 0.29774E-07
MAXIMUM ABSOLUTE VALUES
NODE    0     7      0      7
VALUE 0.0000 -0.91641E-07 0.0000      0.91641E-07
PRINT REACTION SOLUTIONS PER NODE
 ***** POST1 TOTAL REACTION SOLUTION LISTING *****
 LOAD STEP= 1 SUBSTEP= 1
 TIME= 1.0000  LOAD CASE= 0
 THE FOLLOWING X,Y,Z SOLUTIONS ARE IN THE GLOBAL COORDINATE SYSTEM
  NODE    FX      FY      FZ      MX       MY       MZ
   1 0.0000 6856.4     0.0000   0.89005E-11-0.21144E-11 0.74254E+06
   2       3143.6
TOTAL VALUES
                   VALUE    0.0000   10000.    0.0000   0.89005E-11-0.21144E-11 0.74254E+06
PRINT ROT NODAL SOLUTION PER NODE
***** POST1 NODAL DEGREE OF FREEDOM LISTING *****
LOAD STEP= 1 SUBSTEP= 1
TIME= 1.0000  LOAD CASE= 0
THE FOLLOWING DEGREE OF FREEDOM RESULTS ARE IN THE GLOBAL COORDINATE SYSTEM
 NODE     ROTX     ROTY     ROTZ       RSUM
   1 0.0000 0.0000 0.0000 0.0000
   2 0.0000 0.0000 0.73232E-09 0.73232E-09
   3 0.0000  0.0000 -0.34441E-09 0.34441E-09
   4 0.0000 0.0000 -0.53281E-09 0.53281E-09
   5 0.0000 0.0000 -0.56518E-09 0.56518E-09
   6 0.0000 0.0000 -0.44154E-09 0.44154E-09
   7 0.0000 0.0000 -0.16187E-09 0.16187E-09
   8 0.0000 0.0000 0.16004E-09 0.16004E-09
   9 0.0000 0.0000 0.41041E-09 0.41041E-09
  10 0.0000 0.0000 0.58925E-09 0.58925E-09
  11 0.0000 0.0000 0.69656E-09 0.69656E-09
MAXIMUM ABSOLUTE VALUES
NODE    0    0     2     2
VALUE 0.0000 0.0000 0.73232E-09 0.73232E-09
PRINT SUMMED NODAL LOADS
***** POST1 SUMMED TOTAL NODAL LOADS LISTING *****
LOAD STEP= 1 SUBSTEP= 1
TIME= 1.0000  LOAD CASE= 0
THE FOLLOWING X,Y,Z SOLUTIONS ARE IN THE GLOBAL COORDINATE SYSTEM
 NODE    FX       FY        FZ       MX      MY       MZ
   1      -6856.4           -0.89005E-11 0.21144E-11-0.74254E+06
   2      -3143.6           -0.40809E-11 0.21958E-12
   3                            -0.95782E-12
   4                            -0.95782E-12
   5                            -0.95782E-12
   6                            -0.95782E-12
   7       10000.           0.12981E-10-0.25933E-12
   8                             0.43916E-12
   9                             0.43916E-12
  10                             0.43916E-12
  11                             0.43916E-12
TOTAL VALUES
                    VALUE   0.0000   -0.54570E-10 0.0000   -0.71086E-25-0.10097E-27-0.74254E+06