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V. Moving Load Generator

To validate the effect of wheel load assembly on bridge girders simulated by a series of equivalent concentrated loads for a particular wheel position, generated by Moving Load generation option.

Details

A bridge decking system of 10m span is simulated by three longitudinal girder of size 0.3m×0.6m (Concrete) at a spacing of 2m and six transverse girders of size 0.3m×0.45m (Concrete) at a spacing of 2m. Longitudinal girders are pinned support at both the ends.

Vehicle definition – 10 kN and 16 kN per wheel in the Front and Rear Axle respectively. The vehicle width is 1.2m and the axle distance is 1.5m. Starting position is from the end of the deck, aligning the rear axle along the last transverse girder. The direction of movement along the longitudinal girder with an incremental distance of 0.5m.

Validation

Among the generated wheel loads, for the 9th position of the wheel assembly, the structure is analyzed for that generated load. The structure is again analyzed with the static load system equivalent to the generated wheel load and observed the difference in results if any.

The position of the generated load case 9

Note: The postprocessing diagrams in STAAD.Pro show two overlapping 7 kN axle reactions on member 14.

The model uses the moving load generator facility and a static load equivalent to the generated Load Case 9 (i.e., 9th position of the wheel assembly). Both support reactions and joint displacements are compared.

Comparison

Table 1. Comparison of results
Parameter STAAD.Pro Reference Difference Comments
Support reaction at joint 7 (kN) 11.37 11.37 none  
Vertical displacement at joint 10 (cm) 0.3025 0.3025 none  

STAAD Input

The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\06 Loading\Moving Load\Moving Load Generator.STD is typically installed with the program.

STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 23-Apr-19
END JOB INFORMATION
INPUT WIDTH 79
UNIT METER KN
JOINT COORDINATES
1 0 0 0; 2 10 0 0; 3 2 0 0; 4 4 0 0; 5 6 0 0; 6 8 0 0; 7 0 0 2; 8 10 0 2;
9 2 0 2; 10 4 0 2; 11 6 0 2; 12 8 0 2; 13 0 0 4; 14 10 0 4; 15 2 0 4; 16 4 0 4;
17 6 0 4; 18 8 0 4;
MEMBER INCIDENCES
1 1 3; 2 3 4; 3 4 5; 4 5 6; 5 6 2; 6 1 7; 7 2 8; 8 3 9; 9 4 10; 10 5 11;
11 6 12; 12 7 9; 13 9 10; 14 10 11; 15 11 12; 16 12 8; 17 7 13; 18 8 14;
19 9 15; 20 10 16; 21 11 17; 22 12 18; 23 13 15; 24 15 16; 25 16 17; 26 17 18;
27 18 14;
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 2.17185e+07
POISSON 0.17
DENSITY 23.5616
ALPHA 1e-05
DAMP 0.05
TYPE CONCRETE
STRENGTH FCU 27579
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TO 5 12 TO 16 23 TO 27 PRIS YD 0.6 ZD 0.3
6 TO 11 17 TO 22 PRIS YD 0.45 ZD 0.3
CONSTANTS
MATERIAL CONCRETE ALL
SUPPORTS
1 2 7 8 13 14 PINNED
DEFINE MOVING LOAD
TYPE 1 LOAD 16 10
DIST 1.5 WID 1.2
LOAD GENERATION 18
TYPE 1 0 0 2.6 XINC 0.5
LOAD 19 LOADTYPE Live  TITLE STATIC POS9
MEMBER LOAD
9 CON GY -16 1.4
20 CON GY -16 0.6
14 CON GY -14 1.5
3 25 CON GY -3 1.5
PERFORM ANALYSIS PRINT LOAD DATA
LOAD LIST 9 19
PRINT SUPPORT REACTION ALL
PRINT JOINT DISPLACEMENTS ALL
FINISH

STAAD Output

   LOADING     1                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     17                           -16.0000 GY   0.60
      6                           -16.0000 GY   1.40
     23                            -3.0000 GY   1.50
     12                            -7.0000 GY   1.50
     12                            -7.0000 GY   1.50
      1                            -3.0000 GY   1.50
   LOADING     2                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     23                            -4.8000 GY   0.50
     12                           -11.2000 GY   0.50
     12                           -11.2000 GY   0.50
      1                            -4.8000 GY   0.50
     19                           -10.0000 GY   0.60
      8                           -10.0000 GY   1.40
   LOADING     3                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     23                            -4.8000 GY   1.00
     12                           -11.2000 GY   1.00
     12                           -11.2000 GY   1.00
      1                            -4.8000 GY   1.00
     24                            -3.0000 GY   0.50
     13                            -7.0000 GY   0.50
     13                            -7.0000 GY   0.50
      2                            -3.0000 GY   0.50
   LOADING     4                                                              
   -----------
      STAAD SPACE                                              -- PAGE NO.    4
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     23                            -4.8000 GY   1.50
     12                           -11.2000 GY   1.50
     12                           -11.2000 GY   1.50
      1                            -4.8000 GY   1.50
     24                            -3.0000 GY   1.00
     13                            -7.0000 GY   1.00
     13                            -7.0000 GY   1.00
      2                            -3.0000 GY   1.00
   LOADING     5                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     19                           -16.0000 GY   0.60
      8                           -16.0000 GY   1.40
     24                            -3.0000 GY   1.50
     13                            -7.0000 GY   1.50
     13                            -7.0000 GY   1.50
      2                            -3.0000 GY   1.50
   LOADING     6                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     24                            -4.8000 GY   0.50
     13                           -11.2000 GY   0.50
     13                           -11.2000 GY   0.50
      2                            -4.8000 GY   0.50
     20                           -10.0000 GY   0.60
      9                           -10.0000 GY   1.40
   LOADING     7                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
      STAAD SPACE                                              -- PAGE NO.    5
     24                            -4.8000 GY   1.00
     13                           -11.2000 GY   1.00
     13                           -11.2000 GY   1.00
      2                            -4.8000 GY   1.00
     25                            -3.0000 GY   0.50
     14                            -7.0000 GY   0.50
     14                            -7.0000 GY   0.50
      3                            -3.0000 GY   0.50
   LOADING     8                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     24                            -4.8000 GY   1.50
     13                           -11.2000 GY   1.50
     13                           -11.2000 GY   1.50
      2                            -4.8000 GY   1.50
     25                            -3.0000 GY   1.00
     14                            -7.0000 GY   1.00
     14                            -7.0000 GY   1.00
      3                            -3.0000 GY   1.00
   LOADING     9                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     20                           -16.0000 GY   0.60
      9                           -16.0000 GY   1.40
     25                            -3.0000 GY   1.50
     14                            -7.0000 GY   1.50
     14                            -7.0000 GY   1.50
      3                            -3.0000 GY   1.50
   LOADING    10                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     25                            -4.8000 GY   0.50
     14                           -11.2000 GY   0.50
     14                           -11.2000 GY   0.50
      3                            -4.8000 GY   0.50
      STAAD SPACE                                              -- PAGE NO.    6
     21                           -10.0000 GY   0.60
     10                           -10.0000 GY   1.40
   LOADING    11                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     25                            -4.8000 GY   1.00
     14                           -11.2000 GY   1.00
     14                           -11.2000 GY   1.00
      3                            -4.8000 GY   1.00
     26                            -3.0000 GY   0.50
     15                            -7.0000 GY   0.50
     15                            -7.0000 GY   0.50
      4                            -3.0000 GY   0.50
   LOADING    12                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     25                            -4.8000 GY   1.50
     14                           -11.2000 GY   1.50
     14                           -11.2000 GY   1.50
      3                            -4.8000 GY   1.50
     26                            -3.0000 GY   1.00
     15                            -7.0000 GY   1.00
     15                            -7.0000 GY   1.00
      4                            -3.0000 GY   1.00
   LOADING    13                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     21                           -16.0000 GY   0.60
     10                           -16.0000 GY   1.40
     26                            -3.0000 GY   1.50
     15                            -7.0000 GY   1.50
     15                            -7.0000 GY   1.50
      4                            -3.0000 GY   1.50
      STAAD SPACE                                              -- PAGE NO.    7
   LOADING    14                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     26                            -4.8000 GY   0.50
     15                           -11.2000 GY   0.50
     15                           -11.2000 GY   0.50
      4                            -4.8000 GY   0.50
     22                           -10.0000 GY   0.60
     11                           -10.0000 GY   1.40
   LOADING    15                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     26                            -4.8000 GY   1.00
     15                           -11.2000 GY   1.00
     15                           -11.2000 GY   1.00
      4                            -4.8000 GY   1.00
     27                            -3.0000 GY   0.50
     16                            -7.0000 GY   0.50
     16                            -7.0000 GY   0.50
      5                            -3.0000 GY   0.50
   LOADING    16                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     26                            -4.8000 GY   1.50
     15                           -11.2000 GY   1.50
     15                           -11.2000 GY   1.50
      4                            -4.8000 GY   1.50
     27                            -3.0000 GY   1.00
     16                            -7.0000 GY   1.00
     16                            -7.0000 GY   1.00
      5                            -3.0000 GY   1.00
   LOADING    17                                                              
   -----------
      STAAD SPACE                                              -- PAGE NO.    8
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     22                           -16.0000 GY   0.60
     11                           -16.0000 GY   1.40
     27                            -3.0000 GY   1.50
     16                            -7.0000 GY   1.50
     16                            -7.0000 GY   1.50
      5                            -3.0000 GY   1.50
   LOADING    18                                                              
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
     27                            -4.8000 GY   0.50
     16                           -11.2000 GY   0.50
     16                           -11.2000 GY   0.50
      5                            -4.8000 GY   0.50
     18                           -10.0000 GY   0.60
      7                           -10.0000 GY   1.40
   LOADING    19  LOADTYPE LIVE  TITLE STATIC POS9                            
   -----------
   MEMBER LOAD - UNIT KN   METE
   MEMBER     UDL      L1     L2      CON       L     LIN1     LIN2
      9                           -16.0000 GY   1.40
     20                           -16.0000 GY   0.60
     14                           -14.0000 GY   1.50
      3                            -3.0000 GY   1.50
     25                            -3.0000 GY   1.50
   ************ END OF DATA FROM INTERNAL STORAGE ************
    45. LOAD LIST 9 19
    46. PRINT SUPPORT REACTION ALL
  SUPPORT  REACTION ALL               
      STAAD SPACE                                              -- PAGE NO.    9
   SUPPORT REACTIONS -UNIT KN   METE    STRUCTURE TYPE = SPACE
   -----------------
 JOINT  LOAD   FORCE-X   FORCE-Y   FORCE-Z     MOM-X     MOM-Y     MOM Z
      1    9      0.00      8.41      0.00      0.00      0.00      0.00
          19      0.00      8.41      0.00      0.00      0.00      0.00
      2    9      0.00      7.52      0.00      0.00      0.00      0.00
          19      0.00      7.52      0.00      0.00      0.00      0.00
      7    9      0.00     11.37      0.00      0.00      0.00      0.00
          19      0.00     11.37      0.00      0.00      0.00      0.00
      8    9      0.00      8.76      0.00      0.00      0.00      0.00
          19      0.00      8.76      0.00      0.00      0.00      0.00
     13    9      0.00      8.41      0.00      0.00      0.00      0.00
          19      0.00      8.41      0.00      0.00      0.00      0.00
     14    9      0.00      7.52      0.00      0.00      0.00      0.00
          19      0.00      7.52      0.00      0.00      0.00      0.00
   ************** END OF LATEST ANALYSIS RESULT **************
    47. PRINT JOINT DISPLACEMENTS ALL
  JOINT    DISPLACE ALL               
      STAAD SPACE                                              -- PAGE NO.   10
   JOINT DISPLACEMENT (CM   RADIANS)    STRUCTURE TYPE = SPACE
   ------------------
 JOINT  LOAD   X-TRANS   Y-TRANS   Z-TRANS   X-ROTAN   Y-ROTAN   Z-ROTAN
      1    9     0.0000    0.0000    0.0000    0.0000    0.0000   -0.0009
          19     0.0000    0.0000    0.0000    0.0000    0.0000   -0.0009
      2    9     0.0000    0.0000    0.0000    0.0000    0.0000    0.0009
          19     0.0000    0.0000    0.0000    0.0000    0.0000    0.0009
      3    9     0.0000   -0.1712    0.0000    0.0001    0.0000   -0.0007
          19     0.0000   -0.1712    0.0000    0.0001    0.0000   -0.0007
      4    9     0.0000   -0.2777    0.0000    0.0002    0.0000   -0.0003
          19     0.0000   -0.2777    0.0000    0.0002    0.0000   -0.0003
      5    9     0.0000   -0.2731    0.0000    0.0001    0.0000    0.0003
          19     0.0000   -0.2731    0.0000    0.0001    0.0000    0.0003
      6    9     0.0000   -0.1645    0.0000    0.0001    0.0000    0.0007
          19     0.0000   -0.1645    0.0000    0.0001    0.0000    0.0007
      7    9     0.0000    0.0000    0.0000    0.0000    0.0000   -0.0010
          19     0.0000    0.0000    0.0000    0.0000    0.0000   -0.0010
      8    9     0.0000    0.0000    0.0000    0.0000    0.0000    0.0009
          19     0.0000    0.0000    0.0000    0.0000    0.0000    0.0009
      9    9     0.0000   -0.1827    0.0000    0.0000    0.0000   -0.0008
          19     0.0000   -0.1827    0.0000    0.0000    0.0000   -0.0008
     10    9     0.0000   -0.3025    0.0000    0.0000    0.0000   -0.0003
          19     0.0000   -0.3025    0.0000    0.0000    0.0000   -0.0003
     11    9     0.0000   -0.2915    0.0000    0.0000    0.0000    0.0004
          19     0.0000   -0.2915    0.0000    0.0000    0.0000    0.0004
     12    9     0.0000   -0.1709    0.0000    0.0000    0.0000    0.0008
          19     0.0000   -0.1709    0.0000    0.0000    0.0000    0.0008
     13    9     0.0000    0.0000    0.0000   -0.0000    0.0000   -0.0009
          19     0.0000    0.0000    0.0000   -0.0000    0.0000   -0.0009
     14    9     0.0000    0.0000    0.0000   -0.0000    0.0000    0.0009
          19     0.0000    0.0000    0.0000   -0.0000    0.0000    0.0009
     15    9     0.0000   -0.1712    0.0000   -0.0001    0.0000   -0.0007
          19     0.0000   -0.1712    0.0000   -0.0001    0.0000   -0.0007
     16    9     0.0000   -0.2777    0.0000   -0.0002    0.0000   -0.0003
          19     0.0000   -0.2777    0.0000   -0.0002    0.0000   -0.0003
     17    9     0.0000   -0.2731    0.0000   -0.0001    0.0000    0.0003
          19     0.0000   -0.2731    0.0000   -0.0001    0.0000    0.0003
     18    9     0.0000   -0.1645    0.0000   -0.0001    0.0000    0.0007
          19     0.0000   -0.1645    0.0000   -0.0001    0.0000    0.0007