*HEADING
: PIPE FRAME SECTION, THERMAL LOADING  [FRAME3D]
*PREPRINT,MODEL=YES
*NODE
 1,  0.0, 0.0
11, 75., 0.0
*NGEN,NSET=ALL
 1,11,2
*ELEMENT,TYPE=FRAME3D, ELSET=EALL
1,1,3
2,3,5
3,5,7
4,7,9
5,9,11
*ELSET, ELSET=FOUR
4, 
*FRAME SECTION,SECTION=PIPE, ELSET=EALL, DENSITY=8000.0E-4, ZERO=-10., DEP=1
2., .2
0., 0., -1.
3.E6, 1.1538E6, .001E-4, -10., 0.
1.5E6, 0.5769E6, .002E-4, 90., 0.
3.E6, 1.1538E6, .001E-4, -10., 1.
1.5E6, 0.5769E6, .002E-4, 90., 1.
*INITIAL CONDITIONS, TYPE=TEMPERATURE
ALL, -10.
*INITIAL CONDITIONS, TYPE=FIELD
ALL, 0.
*BOUNDARY
1, 1, 6
*STEP
*STATIC
*CLOAD
11,2,25.E-4
*EL PRINT
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=NODES
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
*EL FILE, ELSET=FOUR
SF,
SEE, 
*EL FILE, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=NODES
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
*NODE FILE
 U,COORD
 RF, 
*NODE PRINT
 U,
 RF, 
*ENERGY FILE
*END STEP
*STEP
*STATIC
*CLOAD, OP=NEW
11,4,25.E-4
*END STEP
*********************** STEP 3
*STEP,PERTURBATION
*STATIC
*DLOAD
EALL, GRAV,10.0E-4, 0., 0., -1.
*EL PRINT
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=NODES
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
*EL FILE, ELSET=FOUR
SF,
SEE, 
*EL FILE, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=NODES
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
*NODE FILE
 U,COORD
 RF, 
*NODE PRINT
 U,
 RF, 
*ENERGY FILE
*END STEP
*********************** STEP 4
*STEP
*STATIC
*CLOAD, OP=NEW
*DLOAD
EALL, PY, -1.910088E-3
*END STEP
*********************** STEP 5
*STEP
 compressive axial load 
*STATIC
*DLOAD
EALL, PX, -1.910088E-3
*END STEP
*********************** STEP 6
*STEP
*STATIC
*DLOAD
EALL, PZ, -1.910088E-3
*END STEP
*********************** STEP 7
*STEP
*STATIC
*DLOAD
EALL, P2, -1.910088E-3
*END STEP
*********************** STEP 8
*STEP
*STATIC
*DLOAD
EALL, P1, 1.910088E-3
*END STEP
*********************** STEP 9
*STEP, PERTURBATION
*STATIC
*DLOAD
EALL, PY, -1.910088E-3
EALL, PX, -1.910088E-3
EALL, PZ, -1.910088E-3
EALL, P2, -1.910088E-3
EALL, P1, 1.910088E-3
*EL PRINT
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=NODES
SF,
SEE,
*EL FILE, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
*EL FILE, ELSET=FOUR
SF,
SEE, 
*EL PRINT, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=NODES
SF,
SEE,
*EL PRINT, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
*NODE FILE
 U,COORD
 RF, 
*NODE PRINT
 U,
 RF, 
*ENERGY FILE
*END STEP
*********************** STEP 10
*STEP
thermal loading.
 the cantilever tip is also fixed.
*STATIC
*CLOAD, OP=NEW
*DLOAD, OP=NEW
*TEMPERATURE, OP=NEW
ALL, 90.
*FIELD, OP=NEW
ALL, 1.
*BOUNDARY 
11, 1, 6
*EL PRINT
SF,
SEE,
TEMP,
THE, 
*EL PRINT, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
TEMP,
THE, 
*EL PRINT, ELSET=FOUR, POSITION=NODES
SF,
SEE,
TEMP,
THE, 
*EL PRINT, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
TEMP,
THE, 
*EL FILE, ELSET=FOUR
SF,
SEE,
TEMP,
THE, 
*NODE FILE
 U, COORD
 RF, 
*EL FILE, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
TEMP,
THE, 
*EL FILE, ELSET=FOUR, POSITION=NODES
SF,
SEE,
TEMP,
THE, 
*EL FILE, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
TEMP,
THE, 
*NODE PRINT
 U,
 RF,
*ENERGY FILE
*END STEP
*********************** STEP 11
*STEP, PERTURBATION
 thermal loading. (2)
 the cantilever tip is also fixed.
 Note that the derivative of the thermal strain with respect
 to the temperature at 90 degree temperature is used as
 the thermal expansion coefficient for this perturbation step.
 Refer to the equation on page 12.1.2-1 of v5.7 /Standard
 User's manual for computing this value.  It turns out to be
 0.003E-4 and not 0.002E-4.
*STATIC
*TEMPERATURE
ALL, 100.
*EL PRINT
SF,
SEE,
THE, 
*EL PRINT, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
TEMP,
THE, 
*EL PRINT, ELSET=FOUR, POSITION=NODES
SF,
SEE,
TEMP,
THE, 
*EL PRINT, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
TEMP,
THE, 
*EL FILE, ELSET=FOUR
SF,
SEE,
TEMP,
THE, 
THE, 
*EL FILE, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
TEMP,
THE, 
*EL FILE, ELSET=FOUR, POSITION=NODES
SF,
SEE,
TEMP,
THE, 
*EL FILE, ELSET=FOUR, POSITION=CENTROIDAL 
SF,
SEE,
TEMP,
THE, 
*NODE FILE
 U, COORD,
 RF, 
*NODE PRINT
 U,
 RF,
 NT, 
*ENERGY FILE
*OUTPUT,FIELD,VAR=PRESELECT
*OUTPUT,FIELD
*ELEMENT OUTPUT, ELSET=FOUR, POSITION=AVERAGED AT NODES
SF,
SEE,
TEMP,
THE, 
*END STEP