bung FEMAnwendung in der Festigkeitsrechnung

1
Practical course FEM
6. Exercise A beam length l, height h und
thickness d is fixed at point A and supported by
a spring at point C. The structure is loaded by
a force F at point B. Model the beam between A
and B and B and C with one beam element
(beam3) and the spring with one spring element
(combin14) Please calculate 1. the bending at
the load point B and point C, 2. the location and
size of the maximum displacement. Use 10
elements between A and B and 20 elements between
B and C . 3. how does the bending result
change? 4. calculate the reaction forces and
moments. Model the beam with 8 node hexahedral
elements (solid45). 5. calculate the location and
size of the maximum displacement. Model the beam
with 20 node hexahedral elements (solid95). 6.
calculate the location and size of the maximum
displacement. Given F 1000 N, a 1000 mm,
b 2000 mm, c 500 mm, h 30 mm, d 10 mm,
E 210000 N/mm2, n 0,3, k 10
N/mm
2
NODE UY 1 0.0000 2
-30.827 3 -14.076 4 0.0000
MAXIMUM ABSOLUTE VALUES NODE 2 VALUE
-30.827
ELEM 1 FX FY
1 0.0000
-859.24 2 0.0000 859.24
ELEM 2 FX FY
2 0.0000 140.76
3 0.0000 -140.76 ELEM
3 FX FY FZ
3 0.0000 140.76
0.0000 4 0.0000 -140.76
0.0000
List Results Nodal solution
List Results Element solution
List Results Reaction solution
NODE UY 1 0.0000 2
-30.827 3 -0.58104 4
-2.2029 5 -4.6838 6
-7.8419 7 -11.495 8
-15.462 9 -19.560 10
-23.608 11 -27.424 12
-14.076 13 -33.668 14
-35.944 15 -37.683 16
-38.916 17 -39.672 18
-39.981 19 -39.874 20
-39.379 21 -38.526 22
-37.346 23 -35.868 24
-34.122 25 -32.138 26
-29.945 27 -27.573 28
-25.052 29 -22.412 30
-19.683 31 -16.894 32
0.0000 MAXIMUM ABSOLUTE VALUES NODE
18 VALUE -39.981
PRINT REACTION SOLUTIONS PER NODE NODE
FX FY FZ MZ
1 0.0000 859.24
0.57772E06 4 0.0000 140.76
0.0000 0.0000 TOTAL VALUES VALUE
0.0000 1000.0 0.0000 0.57772E06
Modeling -gt check geometry -gt ND distances gt
pick node 18 and 1 gt 1600 gt dmax 1600 mm
from the left end
3
Reaction forces NODE FX FY
FZ 1 2703.9 9959.9
33510. 20 -2704.6 9959.6
-33510. 35 -2312.4 -9900.4
-29806. 36 2312.8 -9900.5
29806. 65 2606.7 9958.2
-33485. 84 -2607.4 9957.9
33485. 99 -2229.7 -9879.5
29783. 100 2230.3 -9879.6
-29783. 131 4922.6 19877.
0.70463 132 4942.8 19875.
-13.068 167 -4923.6 19877.
-0.75214 168 -4944.0 19875.
13.116 197 -4241.3 -19738.
6.4645 198 -4223.6 -19720.
9.5680 199 4242.8 -19739.
-6.5357 200 4224.8 -19721.
-9.4967 257 0.0000 138.19
0.0000 TOTAL VALUES 0.23247E-05
1000.0 0.30546E-05
Spring
4
/BATCH /COM,ANSYS RELEASE 11.0 UP20070125
170915 11/29/2007 /GRA,POWER /GST,ON /PLO,
INFO,3 /GRO,CURL,ON /CPLANE,1 /REPLOT,RESIZE
WPSTYLE,,,,,,,,0 /COM, /COM,Preferences for
GUI filtering have been set to display /COM,
Structural WPSTYLE,,,,,,,,0 /PLOPTS,INFO,3
/PLOPTS,LEG1,1 /PLOPTS,LEG2,1 /PLOPTS,LEG3,1
/PLOPTS,FRAME,1 /PLOPTS,TITLE,1
/PLOPTS,MINM,1 /PLOPTS,FILE,0 /PLOPTS,LOGO,0
/PLOPTS,WINS,1 /PLOPTS,WP,0 /PLOPTS,DATE,0
/TRIAD,ORIG /REPLOT /PREP7 /TITLE,grobes
Netz ET,1,BEAM3 ET,2,COMBIN14
/units,mpa! R,1,300,22500,30, , , , R,2,10, ,
, MPTEMP,,,,,,,, MPTEMP,1,0
MPDATA,EX,1,,210000 MPDATA,PRXY,1,,0.3
K,1,,,, K,2,1000,,, K,3,3000,,,
K,4,3000,500,, LSTR, 1, 2 LSTR,
2, 3 LSTR, 3, 4
LESIZE,ALL, , ,1, ,1, , ,1, FLST,2,3,4,ORDE,2
FITEM,2,1 FITEM,2,-3 LMESH,P51X
FLST,2,1,2,ORDE,1 FITEM,2,3
EMODIF,P51X,TYPE,2, FLST,2,1,2,ORDE,1
FITEM,2,3 EMODIF,P51X,REAL,2,
FLST,2,2,3,ORDE,2 FITEM,2,1 FITEM,2,4
/GO DK,P51X, , , ,0,ALL, , , , , ,
FLST,2,1,3,ORDE,1 FITEM,2,2 /GO
FK,P51X,FY,-1000 FINISH /SOL SOLVE FINISH
/POST1 /EFACET,1 PLNSOL, U,Y, 0,1.0
beam coarse
beam fine
/CLEAR,NOSTART /COM,ANSYS RELEASE 11.0
UP20070125 172214 11/29/2007 !
/INPUT,'exe4g','txt','D\LehreJena\FEM\FEM_P07\',
, 0 FINISH /title,feines Netz /PREP7 LPLOT
FLST,2,2,4,ORDE,2 FITEM,2,1 FITEM,2,-2
LCLEAR,P51X FLST,5,2,4,ORDE,2 FITEM,5,1
FITEM,5,-2 CM,_Y,LINE LSEL, , , ,P51X
CM,_Y1,LINE CMSEL,,_Y ! LESIZE,_Y1,100, ,
, , , , ,1 ! FLST,2,2,4,ORDE,2 FITEM,2,1
FITEM,2,-2 LMESH,P51X FINISH
/SOL /STATUS,SOLU SOLVE FINISH /POST1 !
/EFACET,1 PLNSOL, U,Y, 0,1.0 /REPLOT
5
/BATCH /COM,ANSYS RELEASE 11.0 UP20070125
154731 11/29/2007 /GRA,POWER /GST,ON
/PLO,INFO,3 /GRO,CURL,ON /CPLANE,1
/REPLOT,RESIZE WPSTYLE,,,,,,,,0 /PLOPTS,INFO,3
/PLOPTS,LEG1,1 /PLOPTS,LEG2,1
/PLOPTS,LEG3,1 /PLOPTS,FRAME,1
/PLOPTS,TITLE,1 /PLOPTS,MINM,1 /PLOPTS,FILE,0
/PLOPTS,LOGO,0 /PLOPTS,WINS,1
/PLOPTS,WP,0 /PLOPTS,DATE,0 /TRIAD,ORIG
/REPLOT ! /PREP7 /title,Balken Solid95
ET,1,COMBIN14 ! ET,2,SOLID95 !
/units,mpa R,1,10, , , ! MPTEMP,,,,,,,,
MPTEMP,1,0 MPDATA,EX,1,,210000
MPDATA,PRXY,1,,0.3 K,1,,,, K,2,3000,500,,
or element type Solid 45

• Modeling Create Areas Rectangle by 2 Corners gt
  WPx 0 WPY0 Width 3000 Height30
• Modeling Operate Extrude Elem Opts gt VAL.1 No.
  Elem divs 2 gt ok
• Modeling Extrude Areas gt By XYZ Offset new
  window gt coord 0 0 10 gt ok
• Mesh Volume Mapped
• Modeling Create Straight line from upper rear
  corner node to keypoint 2 (Spring)
• Meshing Size cntrl gtNDIV 1 gt mesh line
• gt Modeling Move/Modify -gt Elements -gt Modify
  Attrib. pick spring element (vert. line)
• STLOC Attrib to change gt Element type -gt No. 1
  (COMBIN14) and
• second change gt Real
  Constant No. 1 (Spring rate)
• Boundaries
• Fix left area x 0 , and keypoint 2 (upper
  spring end)
• load the upper nodes at x 1000 by Fy -1000
• Solve

select Entities Nodes by Location x 1000 plot
nodes