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EX. US-27 Modeling Soil Springs for a Slab on Grade

This example illustrates the usage of commands necessary to apply the compression only attribute to spring supports for a slab on grade. The spring supports themselves are generated utilizing the built-in support generation facility. The slab is subjected to pressure and overturning loading. A tension/compression only analysis of the structure is performed.

This problem is installed with the program by default to C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples\Sample Models\US\US-27 Modeling Soil Springs for a Slab on Grade.STD when you install the program.

Input File

STAAD SPACE SLAB ON GRADE
* SPRING COMPRESSION EXAMPLE
SET NL 3
UNIT FEET KIP
JOINT COORDINATES
1 0.0 0.0 40.0
2 0.0 0.0 36.0
3 0.0 0.0 28.167
4 0.0 0.0 20.333
5 0.0 0.0 12.5
6 0.0 0.0  6.5
7 0.0 0.0  0.0
REPEAT ALL 3 8.5 0.0 0.0
REPEAT 3 8.0 0.0 0.0
REPEAT 5 6.0 0.0 0.0
REPEAT 3 8.0 0.0 0.0
REPEAT 3 8.5 0.0 0.0
ELEMENT INCIDENCES
1 1 8 9 2 TO 6
REPEAT 16 6 7
UNIT INCH
ELEMENT PROPERTIES
1 TO 102 TH 8.0
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 4000.0
POISSON 0.12
DENSITY 8.68e-005
ALPHA 5e-006
DAMP 0.05
G 1346.15
TYPE CONCRETE
STRENGTH FCU 4
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE ALL
SPRING COMPRESSION
1 TO 126 KFY
UNIT FEET
SUPPORTS
1 TO 126  ELASTIC MAT DIRECTION Y SUBGRADE 12.0
LOAD 1 'WEIGHT OF MAT & EARTH'
ELEMENT LOAD
1 TO 102 PR GY -1.50
PERFORM ANALYSIS PRINT STATICS CHECK
CHANGE
LOAD 2 'COLUMN LOAD-DL+LL'
JOINT LOADS
1 2   FY -217.
8 9   FY -109.
5     FY -308.7
6     FY -617.4
22 23 FY -410.
29 30 FY -205.
26    FY -542.7
27    FY -1085.4
43 44 50 51 71 72 78 79 FY -307.5
47 54 82    FY -264.2
48 55 76 83 FY -528.3
92 93       FY -205.0
99 100      FY -410.0
103         FY -487.0
104         FY -974.0
113 114     FY -109.0
120 121     FY -217.0
124         FY -273.3
125         FY -546.6
PERFORM ANALYSIS PRINT STATICS CHECK
CHANGE
LOAD 3 'COLUMN OVERTURNING LOAD'
ELEMENT LOAD
1 TO 102 PR GY -1.50
JOINT LOADS
1 2   FY -100.
8 9   FY -50.
5     FY -150.7
6     FY -310.4
22 23 FY -205.
29 30 FY -102.
26    FY -271.7
27    FY -542.4
43 44 50 51 71 72 78 79 FY -153.5
47 54 82    FY -132.2
48 55 76 83 FY -264.3
92 93       FY 102.0
99 100      FY 205.0
103         FY 243.0
104         FY 487.0
113 114     FY 54.0
120 121     FY 108.0
124         FY 136.3
125         FY 273.6
PERFORM ANALYSIS PRINT STATICS CHECK
LOAD LIST 3
PRINT JOINT DISPLACEMENTS LIST 113 114 120 121
PRINT ELEMENT STRESSES LIST 34 67
PRINT SUPPORT REACTIONS LIST 5 6 12 13
FINISH

STAAD Output File

                                                                  PAGE NO.    1
             ****************************************************        
             *                                                  *        
             *           STAAD.Pro 2023                         *        
             *           Version  23.00.02.***                  *         
             *           Proprietary Program of                 *        
             *           Bentley Systems, Inc.                  *        
             *           Date=    DEC 15, 2023                  *        
             *           Time=    16: 0:45                      *        
             *                                                  *        
             *  Licensed to: Bentley Systems Inc                *        
             ****************************************************        
     1. STAAD SPACE SLAB ON GRADE
INPUT FILE: D:\Documentation\STAAD.Pro\_Automated_Py\output\2023-12-15\SPro_Output_Input_Files\Sample .. .STD
     2. * SPRING COMPRESSION EXAMPLE
     3. SET NL 3
     4. UNIT FEET KIP
     5. JOINT COORDINATES
     6. 1 0.0 0.0 40.0
     7. 2 0.0 0.0 36.0
     8. 3 0.0 0.0 28.167
     9. 4 0.0 0.0 20.333
    10. 5 0.0 0.0 12.5
    11. 6 0.0 0.0  6.5
    12. 7 0.0 0.0  0.0
    13. REPEAT ALL 3 8.5 0.0 0.0
    14. REPEAT 3 8.0 0.0 0.0
    15. REPEAT 5 6.0 0.0 0.0
    16. REPEAT 3 8.0 0.0 0.0
    17. REPEAT 3 8.5 0.0 0.0
    18. ELEMENT INCIDENCES
    19. 1 1 8 9 2 TO 6
    20. REPEAT 16 6 7
    21. UNIT INCH
    22. ELEMENT PROPERTIES
    23. 1 TO 102 TH 8.0
    24. DEFINE MATERIAL START
    25. ISOTROPIC CONCRETE
    26. E 4000.0
    27. POISSON 0.12
    28. DENSITY 8.68E-005
    29. ALPHA 5E-006
    30. DAMP 0.05
    31. G 1346.15
    32. TYPE CONCRETE
    33. STRENGTH FCU 4
    34. END DEFINE MATERIAL
    35. CONSTANTS
    36. MATERIAL CONCRETE ALL
    37. SPRING COMPRESSION
    38. 1 TO 126 KFY
      SLAB ON GRADE                                            -- PAGE NO.    2 
    * SPRING COMPRESSION EXAMPLE                
    39. UNIT FEET
    40. SUPPORTS
    41. 1 TO 126  ELASTIC MAT DIRECTION Y SUBGRADE 12.0
    42. LOAD 1 'WEIGHT OF MAT & EARTH'
    43. ELEMENT LOAD
    44. 1 TO 102 PR GY -1.50
    45. PERFORM ANALYSIS PRINT STATICS CHECK
            P R O B L E M   S T A T I S T I C S
            -----------------------------------
     NUMBER OF JOINTS        126  NUMBER OF MEMBERS       0
     NUMBER OF PLATES        102  NUMBER OF SOLIDS        0
     NUMBER OF SURFACES        0  NUMBER OF SUPPORTS    126
           Using 64-bit analysis engine.
           SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER
   TOTAL      PRIMARY LOAD CASES =     1, TOTAL DEGREES OF FREEDOM =     378
   TOTAL LOAD COMBINATION  CASES =     0  SO FAR.
      SLAB ON GRADE                                            -- PAGE NO.    3 
    * SPRING COMPRESSION EXAMPLE                
  **NOTE-Tension/Compression converged after  1 iterations, Case=    1
          STATIC LOAD/REACTION/EQUILIBRIUM SUMMARY FOR CASE NO.     1
          'WEIGHT OF MAT & EARTH'                                     
           CENTER OF FORCE BASED ON Y FORCES ONLY (FEET).
         (FORCES IN NON-GLOBAL DIRECTIONS WILL INVALIDATE RESULTS)
                        X =  0.645000019E+02
                        Y = -0.000000000E+00
                        Z =  0.200000006E+02
 TOTAL APPLIED LOAD     1 
   ***TOTAL APPLIED LOAD ( KIP  FEET ) SUMMARY (LOADING     1 )
       SUMMATION FORCE-X =           0.00
       SUMMATION FORCE-Y =       -7740.00
       SUMMATION FORCE-Z =           0.00
      SUMMATION OF MOMENTS AROUND THE ORIGIN-
      MX=      154800.01  MY=           0.00  MZ=     -499230.03
 TOTAL REACTION LOAD    1 
   ***TOTAL REACTION LOAD( KIP  FEET ) SUMMARY (LOADING     1 )
       SUMMATION FORCE-X =           0.00
       SUMMATION FORCE-Y =        7740.00
       SUMMATION FORCE-Z =           0.00
      SUMMATION OF MOMENTS AROUND THE ORIGIN-
      MX=     -154800.01  MY=           0.00  MZ=      499230.03
   MAXIMUM DISPLACEMENTS ( INCH /RADIANS) (LOADING      1)
             MAXIMUMS    AT NODE
      X =  0.00000E+00       0
      Y = -1.50000E+00       1
      Z =  0.00000E+00       0
      RX=  9.79653E-10     121
      RY=  0.00000E+00       0
      RZ=  4.32018E-10      45
   ************ END OF DATA FROM INTERNAL STORAGE ************
    46. CHANGE
    47. LOAD 2 'COLUMN LOAD-DL+LL'
    48. JOINT LOADS
    49. 1 2   FY -217.
    50. 8 9   FY -109.
    51. 5     FY -308.7
    52. 6     FY -617.4
    53. 22 23 FY -410.
    54. 29 30 FY -205.
      SLAB ON GRADE                                            -- PAGE NO.    4 
    * SPRING COMPRESSION EXAMPLE                
    55. 26    FY -542.7
    56. 27    FY -1085.4
    57. 43 44 50 51 71 72 78 79 FY -307.5
    58. 47 54 82    FY -264.2
    59. 48 55 76 83 FY -528.3
    60. 92 93       FY -205.0
    61. 99 100      FY -410.0
    62. 103         FY -487.0
    63. 104         FY -974.0
    64. 113 114     FY -109.0
    65. 120 121     FY -217.0
    66. 124         FY -273.3
    67. 125         FY -546.6
    68. PERFORM ANALYSIS PRINT STATICS CHECK
      SLAB ON GRADE                                            -- PAGE NO.    5 
    * SPRING COMPRESSION EXAMPLE                
  **NOTE-Tension/Compression converged after  1 iterations, Case=    2
          STATIC LOAD/REACTION/EQUILIBRIUM SUMMARY FOR CASE NO.     2
          'COLUMN LOAD-DL+LL'                                         
           CENTER OF FORCE BASED ON Y FORCES ONLY (FEET).
         (FORCES IN NON-GLOBAL DIRECTIONS WILL INVALIDATE RESULTS)
                        X =  0.633725605E+02
                        Y = -0.000000000E+00
                        Z =  0.215722031E+02
 TOTAL APPLIED LOAD     2 
   ***TOTAL APPLIED LOAD ( KIP  FEET ) SUMMARY (LOADING     2 )
       SUMMATION FORCE-X =           0.00
       SUMMATION FORCE-Y =      -13964.90
       SUMMATION FORCE-Z =           0.00
      SUMMATION OF MOMENTS AROUND THE ORIGIN-
      MX=      301253.66  MY=           0.00  MZ=     -884991.47
 TOTAL REACTION LOAD    2 
   ***TOTAL REACTION LOAD( KIP  FEET ) SUMMARY (LOADING     2 )
       SUMMATION FORCE-X =           0.00
       SUMMATION FORCE-Y =       13964.90
       SUMMATION FORCE-Z =           0.00
      SUMMATION OF MOMENTS AROUND THE ORIGIN-
      MX=     -301253.66  MY=           0.00  MZ=      884991.47
   MAXIMUM DISPLACEMENTS ( INCH /RADIANS) (LOADING      2)
             MAXIMUMS    AT NODE
      X =  0.00000E+00       0
      Y = -1.12956E+01     120
      Z =  0.00000E+00       0
      RX=  8.11932E-02      99
      RY=  0.00000E+00       0
      RZ=  1.00569E-01       6
   ************ END OF DATA FROM INTERNAL STORAGE ************
    69. CHANGE
    70. LOAD 3 'COLUMN OVERTURNING LOAD'
    71. ELEMENT LOAD
    72. 1 TO 102 PR GY -1.50
    73. JOINT LOADS
    74. 1 2   FY -100.
    75. 8 9   FY -50.
    76. 5     FY -150.7
    77. 6     FY -310.4
      SLAB ON GRADE                                            -- PAGE NO.    6 
    * SPRING COMPRESSION EXAMPLE                
    78. 22 23 FY -205.
    79. 29 30 FY -102.
    80. 26    FY -271.7
    81. 27    FY -542.4
    82. 43 44 50 51 71 72 78 79 FY -153.5
    83. 47 54 82    FY -132.2
    84. 48 55 76 83 FY -264.3
    85. 92 93       FY 102.0
    86. 99 100      FY 205.0
    87. 103         FY 243.0
    88. 104         FY 487.0
    89. 113 114     FY 54.0
    90. 120 121     FY 108.0
    91. 124         FY 136.3
    92. 125         FY 273.6
    93. PERFORM ANALYSIS PRINT STATICS CHECK
      SLAB ON GRADE                                            -- PAGE NO.    7 
    * SPRING COMPRESSION EXAMPLE                
*** LOAD CASE     3 -- START ITERATION NO.   2
*** LOAD CASE     3 -- START ITERATION NO.   3
*** LOAD CASE     3 -- START ITERATION NO.   4
*** LOAD CASE     3 -- START ITERATION NO.   5
  **NOTE-Tension/Compression converged after  5 iterations, Case=    3
          STATIC LOAD/REACTION/EQUILIBRIUM SUMMARY FOR CASE NO.     3
          'COLUMN OVERTURNING LOAD'                                   
           CENTER OF FORCE BASED ON Y FORCES ONLY (FEET).
         (FORCES IN NON-GLOBAL DIRECTIONS WILL INVALIDATE RESULTS)
                        X =  0.454460478E+02
                        Y = -0.000000000E+00
                        Z =  0.202712741E+02
 TOTAL APPLIED LOAD     3 
   ***TOTAL APPLIED LOAD ( KIP  FEET ) SUMMARY (LOADING     3 )
       SUMMATION FORCE-X =           0.00
       SUMMATION FORCE-Y =      -10533.10
       SUMMATION FORCE-Z =           0.00
      SUMMATION OF MOMENTS AROUND THE ORIGIN-
      MX=      213519.36  MY=           0.00  MZ=     -478687.78
 TOTAL REACTION LOAD    3 
   ***TOTAL REACTION LOAD( KIP  FEET ) SUMMARY (LOADING     3 )
       SUMMATION FORCE-X =           0.00
       SUMMATION FORCE-Y =       10533.10
       SUMMATION FORCE-Z =           0.00
      SUMMATION OF MOMENTS AROUND THE ORIGIN-
      MX=     -213519.36  MY=           0.00  MZ=      478687.78
   MAXIMUM DISPLACEMENTS ( INCH /RADIANS) (LOADING      3)
             MAXIMUMS    AT NODE
      X =  0.00000E+00       0
      Y =  3.06386E+01     120
      Z =  0.00000E+00       0
      RX= -1.35247E-01     120
      RY=  0.00000E+00       0
      RZ=  1.12342E-01     125
   ************ END OF DATA FROM INTERNAL STORAGE ************
    94. LOAD LIST 3
    95. PRINT JOINT DISPLACEMENTS LIST 113 114 120 121
  JOINT    DISPLACE LIST     113      
      SLAB ON GRADE                                            -- PAGE NO.    8 
    * SPRING COMPRESSION EXAMPLE                
   JOINT DISPLACEMENT (INCH RADIANS)    STRUCTURE TYPE = SPACE
   ------------------
 JOINT  LOAD   X-TRANS   Y-TRANS   Z-TRANS   X-ROTAN   Y-ROTAN   Z-ROTAN
    113    3    0.00000  20.81368   0.00000  -0.10277   0.00000   0.07382
    114    3    0.00000  15.82565   0.00000  -0.10134   0.00000   0.06799
    120    3    0.00000  30.63862   0.00000  -0.13525   0.00000   0.10711
    121    3    0.00000  24.13106   0.00000  -0.12907   0.00000   0.09243
   ************** END OF LATEST ANALYSIS RESULT **************
    96. PRINT ELEMENT STRESSES LIST 34 67
  ELEMENT  STRESSES LIST     34       
      SLAB ON GRADE                                            -- PAGE NO.    9 
    * SPRING COMPRESSION EXAMPLE                
   ELEMENT STRESSES    FORCE,LENGTH UNITS= KIP  FEET
   ----------------
            STRESS = FORCE/UNIT WIDTH/THICK, MOMENT = FORCE-LENGTH/UNIT WIDTH
  ELEMENT  LOAD       SQX        SQY          MX          MY          MXY
                      VONT       VONB         SX          SY          SXY
                      TRESCAT    TRESCAB
     34      3        -4.66       -6.79        2.34        7.95        5.74
                     164.71      164.71        0.00        0.00        0.00
                     172.44      172.44
       TOP : SMAX=     155.71 SMIN=     -16.73 TMAX=      86.22 ANGLE= 58.0
       BOTT: SMAX=      16.73 SMIN=    -155.71 TMAX=      86.22 ANGLE=-32.0
     67      3        32.82        6.55      -63.47        5.72       36.48
                    1238.45     1238.45        0.00        0.00        0.00
                    1357.37     1357.37
       TOP : SMAX=     288.91 SMIN=   -1068.46 TMAX=     678.69 ANGLE= 66.7
       BOTT: SMAX=    1068.46 SMIN=    -288.91 TMAX=     678.69 ANGLE=-23.3
          **** MAXIMUM STRESSES AMONG SELECTED PLATES AND CASES ****
             MAXIMUM       MINIMUM       MAXIMUM       MAXIMUM       MAXIMUM
            PRINCIPAL     PRINCIPAL       SHEAR       VONMISES       TRESCA
             STRESS        STRESS        STRESS        STRESS        STRESS
          1.068459E+03 -1.068459E+03  6.786865E+02  1.238454E+03  1.357373E+03
 PLATE NO.      67            67            67            67            67
 CASE  NO.       3             3             3             3             3
   ********************END OF ELEMENT FORCES********************
    97. PRINT SUPPORT REACTIONS LIST 5 6 12 13
  SUPPORT  REACTION LIST     5        
      SLAB ON GRADE                                            -- PAGE NO.   10 
    * SPRING COMPRESSION EXAMPLE                
   SUPPORT REACTIONS -UNIT KIP  FEET    STRUCTURE TYPE = SPACE
   -----------------
 JOINT  LOAD   FORCE-X   FORCE-Y   FORCE-Z     MOM-X     MOM-Y     MOM Z
      5    3      0.00    149.37      0.00      0.00      0.00      0.00
      6    3      0.00    170.57      0.00      0.00      0.00      0.00
     12    3      0.00    148.42      0.00      0.00      0.00      0.00
     13    3      0.00    152.40      0.00      0.00      0.00      0.00
   ************** END OF LATEST ANALYSIS RESULT **************
    98. FINISH
      SLAB ON GRADE                                            -- PAGE NO.   11 
    * SPRING COMPRESSION EXAMPLE                
             *********** END OF THE STAAD.Pro RUN ***********         
               **** DATE= DEC 15,2023   TIME= 16: 0:46 ****
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