!#!Info  Example:       Combination with Intermediate Superpositions
!#!Info  Keyword:       Superposition; Load Groups
!#!Info  Program:       MAXIMA
!#!Info  Version:       SOFiSTiK 2024
!#!Info  Date:          $Date: 2023-04-13

+PROG AQUA urs:1
HEAD Example for MAXIMA Intermediate Superposition
HEAD Norm, Material and Cross Section
NORM DIN EN199x-200x-bridge CAT B
ECHO FULL full
CONC 1 C 30
STEE 2 S 500B

SREC 1 600. 300. SO 50. MNO 1 MRF 2 RTYP ASYM  ASO 1.0 ASU 1.0 DASO 10 DASU 20 A 100.
END

+PROG SOFIMSHC urs:2
HEAD Example for MAXIMA Intermediate Superposition
HEAD System
CTRL MESH 1
CTRL HMIN 1.0
SYST SPAC GDIR POSZ

SPT  1  0.0  0.0  0.0 FIX ppmx
     2  6.0  0.0  0.0 FIX xpmx
     3 10.0  0.0  0.0 FIX xpmx
SLN  1  1  2 SNO 1
     2  2  3 SNO 1
END

+PROG SOFILOAD urs:3
HEAD Example for MAXIMA Intermediate Superposition
HEAD Actions with Partial Factors and Combination Coefficients
ACT G_1
ACT G_2

ACT XY   GAMU 1.4  0.0 0.6 0.4 0.2 0.6 PART Q SUP EXCL
ACT XY_A GAMU 1.4  0.0 0.6 0.4 0.2 0.6 PART Q SUP EXCL
ACT XY_B GAMU 1.3  0.0 0.5 0.3 0.1 0.5 PART Q SUP EXCL
ACT XY_C GAMU 1.45 0.0 0.6 0.3 0.0 0.6 PART Q SUP EXEX
ACT XY_D GAMU 1.35 0.0 0.5 0.2 0.0 0.5 PART Q SUP EXEX

ACT S
END

+PROG SOFILOAD urs:4
HEAD Example for MAXIMA Intermediate Superposition
HEAD Loads
LC 1 G_1
  LINE  SLN 1,2 TYPE PG P1 50.
LC 2 G_2
  LINE  SLN 1   TYPE PG P1 15.
  LINE  SLN 2   TYPE PG P1 10.

LC 11 XY_A
  LINE  SLN 1   TYPE PG P1 25.
LC 12 XY_A
  LINE  SLN 2   TYPE PG P1 20.

LC 21 XY_B
  LINE  SLN 1   TYPE PG P1 15.
LC 22 XY_B
  LINE  SLN 2   TYPE PG P1 22.

LC 31 XY_C
  LINE  SLN 1   TYPE PG P1 20.
LC 32 XY_C
  LINE  SLN 2   TYPE PG P1 40.

LC 41 XY_D
  LINE  SLN 1   TYPE PG P1 15.
LC 42 XY_D
  LINE  SLN 2   TYPE PG P1 35.

LC 51 S
  LINE  SLN 1   TYPE PG P1 10.
LC 52 S
  LINE  SLN 2   TYPE PG P1  8.

ECHO  ACT EXTR
END

+PROG ASE urs:5
HEAD Example for MAXIMA Intermediate Superposition
HEAD Calculation of the Single Load Cases
ECHO FULL NO
LC ALLE
END

PROG WING urs:11
HEAD Example for MAXIMA Load Groups
HEAD Loads
UNIT 0 SET IN $ default unit set
CTRL OPT GSTR VAL DEFA
CTRL OPT REPR VAL YES
$ graphics    1 | picture    1 | layer    1 : All loads  LC:          1
PAGE LANO 1
SIZE TYPE URS SC 0 MARG NO SPLI '2*1'
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
SCHH H6 0.340000
SCH2 DIRE DEFA
LC   NO 1 DESI 1
VIEW TYPE DIRE X 0 Y -1 Z 0 AXIS POSZ ROTA 0
DEFO TYPE NO EXPO 0 SMOV NO
SELE NUMB 0
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    1 | picture    2 | layer    1 : All loads  LC:          2
AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 2
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    2 | picture    1 | layer    1 : All loads  LC:         11
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
LC   NO 11
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    2 | picture    2 | layer    1 : All loads  LC:         12
AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 12
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    3 | picture    1 | layer    1 : All loads  LC:         21
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
LC   NO 21
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    3 | picture    2 | layer    1 : All loads  LC:         22
AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 22
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    4 | picture    1 | layer    1 : All loads  LC:         31
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
LC   NO 31
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    4 | picture    2 | layer    1 : All loads  LC:         32
AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 32
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    5 | picture    1 | layer    1 : All loads  LC:         41
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
LC   NO 41
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    5 | picture    2 | layer    1 : All loads  LC:         42
AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 42
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    6 | picture    1 | layer    1 : All loads  LC:         51
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
LC   NO 51
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ graphics    6 | picture    2 | layer    1 : All loads  LC:         52
AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 52
LOAD TYPE ALL UNIT DEFA SCHH YES SING VECT FILL NO REPR DREP ETYP ALL GTYP ELEM
$ Definitions of interactive work
iNTE SET 0 PAR1 6 PAR2 2 PAR3 1 PAR4 0 PAR5 0
END

+PROG MAXIMA urs:6
HEAD Example for MAXIMA Intermediate Superposition
HEAD Combination 1 DESI  1st superposition
ECHO LOAD,FACT
$ 1st superposition COMB DESI with categories XY_A and XY_B
$ It is determined which load case of XY_A and which load case of XY_B is used -> SUP EXCL
COMB 1 DESI TYPE NONE  BASE 1100
 ACT G_1
 ACT G_2
 ACT XY_A
 ACT XY_B
 ACT S
$SUPP 1 MAMI ETYP BEAM TYPE MY
SUPP 1 MAMI ETYP BEAM TYPE MY FROM 2 X 1[-]   $ 1st span middle beam 2 end
SUPP 1 MAMI ETYP BEAM TYPE MY FROM 9 X 1[-]   $ 2nd span middle beam 9 end
END

+PROG MAXIMA urs:7
HEAD Example for MAXIMA Intermediate Superposition
HEAD Combination 2 DESI  2nd superposition
ECHO LOAD,FACT
$ 2nd superposition COMB DESI with categories XY_C and XY_D
$ It is determined which load case of XY_C or XY_D is used -> SUP EXEX
COMB 2 DESI TYPE NONE BASE 1200
 ACT G_1
 ACT G_2
 ACT XY_C
 ACT XY_D
 ACT S
$SUPP 2 MAMI ETYP BEAM TYPE MY
SUPP 2 MAMI ETYP BEAM TYPE MY FROM 2 X 1[-]   $ 1st span middle beam 2 end
SUPP 2 MAMI ETYP BEAM TYPE MY FROM 9 X 1[-]   $ 2nd span middle beam 9 end
END

$ Endüberlagerung
+PROG MAXIMA urs:8
HEAD Example for MAXIMA Intermediate Superposition
HEAD Combination 3 STAN final superposition envelope
ECHO LOAD,FACT
$ Final superposition COMB STAN
$ The envelopes of the results of the combination 1 LC 1129,1130 and combination 2 LC 1229,1230 are determined.
$
$ For comparison calculation with load groups see file maxima_loadgroups.dat
$ example with load groups
COMB 3 STAN TYPE DESI BASE 2100
  LC 1129,1130 TYPE AG1            $ AG1 permanent alternative load case group 1
  LC 1229,1230 TYPE AG1
$SUPP 3 MAMI ETYP BEAM TYPE MY
SUPP 3 MAMI ETYP BEAM TYPE MY FROM 2 X 1[-]   $ 1st span middle beam 2 end
SUPP 3 MAMI ETYP BEAM TYPE MY FROM 9 X 1[-]   $ 2nd span middle beam 9 end
END

+PROG WING urs:9
HEAD Example for MAXIMA Intermediate Superposition
HEAD Combination 3 Bending Moments MY
PAGE UNII 0
CTRL OPT INP
CTRL OPT GSTR VAL DEFA
CTRL OPT AXIS VAL DEFA

SIZE TYPE URS SC 0 SPLI '2*1'
SIZ2
AND  POSI 1 POSL 0 POSR 100 POSD 50 POSU 100
SCHH H6 0.460000
SCH2 DIRE STAN
GRID TYPE NO DIRE DEFA OFFP 0 OFFC 0 OFF3 0 TOLA 15 TOLZ -5
LC   NO 2129 DESI 1
VIEW TYPE DIRE X 0 Y -1 Z 0 AXIS POSZ ROTA 0
DEFO TYPE NO EXPO 0 SMOV NO
SELE NUMB 0
BEAM TYPE MY UNIT DEFA SCHH YES STYP BEAM FILL NO REPR DLIN

AND  POSI 2 POSL 0 POSR 100 POSD 0 POSU 50
LC   NO 2130
BEAM TYPE MY UNIT DEFA SCHH YES STYP BEAM FILL NO REPR DLIN
END

!#!Chapter Loadcase Tracing
+PROG MAXIMA urs:10
HEAD Example for MAXIMA Intermediate Superposition
HEAD Loadcase tracing
TRAC LC 2129 ETYP BEAM ELEM 2 x 1[-]  OPT 'IF'
END