EX. UK-10 Finite Element Model for a Rectangular Tank
A tank structure is modeled with four-noded plate elements. Water pressure from inside is used as loading for the tank. Reinforcement calculations have been done for some elements.
This problem is installed with the program by default to C:\Users\Public\Public Documents\STAAD.Pro 2023\Samples\Sample Models\UK\UK-10 Finite Element Model for a Rectangular Tank.STD when you install the program.
Actual input is shown in bold lettering followed by explanation.
STAAD SPACE FINITE ELEMENT MODEL OF TANK * STRUCTURE
Every input has to start with the term STAAD. The word SPACE signifies that the structure is a space frame (3-D) structure.
UNITS METER KNS
Defines the input units for the data that follows.
JOINT COORDINATES 1 0. 0. 0. 5 0. 6. 0. REPEAT 4 1.5. 0. 0. REPEAT 4 0. 0. 1.5. REPEAT 4 -1.5. 0. 0. REPEAT 3 0. 0. –1.5. 81 1.5. 0. 1.5. 83 1.5. 0. 4.5. REPEAT 2 1.5. 0. 0.
Joint number followed by X, Y and Z coordinates are provided above. The REPEAT command generates joint coordinates by repeating the pattern of the previous line of joint coordinates. The number following the REPEAT command is the number of repetitions to be carried out. This is followed by X, Y and Z coordinate increments. See TR.11 Joint Coordinates Specification .
ELEMENT INCIDENCES 1 1 2 7 6 TO 4 1 1 REPEAT 14 4 5 61 76 77 2 1 TO 64 1 1 65 1 6 81 76 66 76 81 82 71 67 71 82 83 66 68 66 83 56 61 69 6 11 84 81 70 81 84 85 82 71 82 85 86 83 72 83 86 51 56 73 11 16 87 84 74 84 87 88 85 75 85 88 89 86 76 86 89 46 51 77 16 21 26 87 78 87 26 31 88 79 88 31 36 89 80 89 36 41 46
Element connectivities are input as above by providing the element number followed by joint numbers defining the element. The REPEAT command generates element incidences by repeating the pattern of the previous line of element nodes. The number following the REPEAT command is the number of repetitions to be carried out and that is followed by element and joint number increments. See TR.12 Member Incidences Specification .
UNIT MMS ELEMENT PROPERTIES 1 TO 80 TH 200.0
Element properties are provided by specifying that the elements are 200.0 mm THick.
DEFINE MATERIAL START ISOTROPIC CONCRETE E 21.0 POISSON 0.17 DENSITY 2.4e-008 ALPHA 5e-006 DAMP 0.05 G 9.25 TYPE CONCRETE STRENGTH FCU 0.028 END DEFINE MATERIAL CONSTANTS MATERIAL CONCRETE ALL
The DEFINE MATERIAL command is used to specify material properties and the CONSTANT is used to assign the material to all members.
SUPPORT 1 TO 76 BY 5 81 TO 89 PINNED
Pinned supports are specified at the joints listed above. No moments will be carried by these supports. The expression 1 TO 76 BY 5 means 1, 6, 11, etc. up to 76.
UNIT METER LOAD 1 ELEMENT LOAD 4 TO 64 BY 4 PR 50.0 3 TO 63 BY 4 PR 100.0 2 TO 62 BY 4 PR 150.0 1 TO 61 BY 4 PR 200.0
Load case 1 is initiated. It consists of element loads in the form of uniform pressure(indicated by PR) acting along the local z-axis.
PERFORM ANALYSIS
This command instructs the program to proceed with the analysis.
UNIT MMS PRINT JOINT DISPLACEMENTS LIST 5 25 45 65 PRINT ELEM FORCE LIST 9 TO 16
Joint displacements for a selected set of nodes and element corner forces for some elements are written in the output file as a result of the above commands. The forces printed are in the global directions at the nodes of the elements. The LIST option restricts the print output to that for the joints/elements listed.
START CONCRETE DESIGN
The above command initiates concrete design.
CODE BRITISH DESIGN SLAB 9 12
Slabs (i.e., elements) 9 and 12 will be designed and the reinforcement requirements obtained. In STAAD, elements are typically designed for the moments MX and MY at the centroid of the element.
END CONCRETE DESIGN
Terminates the concrete design operation.
FINISH
This command terminates the STAAD run.
Input File
STAAD SPACE FINITE ELEMENT MODEL OF TANK STRUCTURE
UNIT METER KNS
JOINT COORDINATES
1 0.0 0.0 0.0 5 0.0 6.0 0.0
REPEAT 4 1.5 0.0 0.0
REPEAT 4 0.0 0.0 1.5
REPEAT 4 -1.5 0.0 0.0
REPEAT 3 0.0 0.0 -1.5
81 1.5 0.0 1.5 83 1.5 0.0 4.5
REPEAT 2 1.5 0.0 0.0
ELEMENT INCIDENCES
1 1 2 7 6 TO 4 1 1
REPEAT 14 4 5
61 76 77 2 1 TO 64 1 1
65 1 6 81 76
66 76 81 82 71
67 71 82 83 66
68 66 83 56 61
69 6 11 84 81
70 81 84 85 82
71 82 85 86 83
72 83 86 51 56
73 11 16 87 84
74 84 87 88 85
75 85 88 89 86
76 86 89 46 51
77 16 21 26 87
78 87 26 31 88
79 88 31 36 89
80 89 36 41 46
UNIT MMS
ELEMENT PROPERTIES
1 TO 80 TH 200.0
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 21.0
POISSON 0.17
DENSITY 2.4e-008
ALPHA 5e-006
DAMP 0.05
G 9.25
TYPE CONCRETE
STRENGTH FCU 0.028
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE ALL
SUPPORT
1 TO 76 BY 5 81 TO 89 PINNED
UNIT METER
LOAD 1
ELEMENT LOAD
4 TO 64 BY 4 PR 50.0
3 TO 63 BY 4 PR 100.0
2 TO 62 BY 4 PR 150.0
1 TO 61 BY 4 PR 200.0
PERFORM ANALYSIS
UNIT MMS
PRINT JOINT DISPLACEMENTS LIST 5 25 45 65
PRINT ELEM FORCE LIST 9 TO 16
START CONCRETE DESIGN
CODE BS8007
DESIGN SLAB 9 12
END CONCRETE DESIGN
FINISH
STAAD Output File
PAGE NO. 1 **************************************************** * * * STAAD.Pro 2023 * * Version 23.00.02.*** * * Proprietary Program of * * Bentley Systems, Inc. * * Date= DEC 14, 2023 * * Time= 9:34:38 * * * * Licensed to: Bentley Systems Inc * **************************************************** 1. STAAD SPACE FINITE ELEMENT MODEL OF TANK STRUCTURE INPUT FILE: D:\Documentation\STAAD.Pro\_Automated_Py\output\2023-12-14\SPro_Output_Input_Files\Sample .. .STD 2. UNIT METER KNS 3. JOINT COORDINATES 4. 1 0.0 0.0 0.0 5 0.0 6.0 0.0 5. REPEAT 4 1.5 0.0 0.0 6. REPEAT 4 0.0 0.0 1.5 7. REPEAT 4 -1.5 0.0 0.0 8. REPEAT 3 0.0 0.0 -1.5 9. 81 1.5 0.0 1.5 83 1.5 0.0 4.5 10. REPEAT 2 1.5 0.0 0.0 11. ELEMENT INCIDENCES 12. 1 1 2 7 6 TO 4 1 1 13. REPEAT 14 4 5 14. 61 76 77 2 1 TO 64 1 1 15. 65 1 6 81 76 16. 66 76 81 82 71 17. 67 71 82 83 66 18. 68 66 83 56 61 19. 69 6 11 84 81 20. 70 81 84 85 82 21. 71 82 85 86 83 22. 72 83 86 51 56 23. 73 11 16 87 84 24. 74 84 87 88 85 25. 75 85 88 89 86 26. 76 86 89 46 51 27. 77 16 21 26 87 28. 78 87 26 31 88 29. 79 88 31 36 89 30. 80 89 36 41 46 31. UNIT MMS 32. ELEMENT PROPERTIES 33. 1 TO 80 TH 200.0 34. DEFINE MATERIAL START 35. ISOTROPIC CONCRETE 36. E 21.0 37. POISSON 0.17 38. DENSITY 2.4E-008 FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 2 39. ALPHA 5E-006 40. DAMP 0.05 41. G 9.25 42. TYPE CONCRETE 43. STRENGTH FCU 0.028 44. END DEFINE MATERIAL 45. CONSTANTS 46. MATERIAL CONCRETE ALL 47. SUPPORT 48. 1 TO 76 BY 5 81 TO 89 PINNED 49. UNIT METER 50. LOAD 1 51. ELEMENT LOAD 52. 4 TO 64 BY 4 PR 50.0 53. 3 TO 63 BY 4 PR 100.0 54. 2 TO 62 BY 4 PR 150.0 55. 1 TO 61 BY 4 PR 200.0 56. PERFORM ANALYSIS P R O B L E M S T A T I S T I C S ----------------------------------- NUMBER OF JOINTS 89 NUMBER OF MEMBERS 0 NUMBER OF PLATES 80 NUMBER OF SOLIDS 0 NUMBER OF SURFACES 0 NUMBER OF SUPPORTS 25 Using 64-bit analysis engine. SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER TOTAL PRIMARY LOAD CASES = 1, TOTAL DEGREES OF FREEDOM = 459 TOTAL LOAD COMBINATION CASES = 0 SO FAR. 57. UNIT MMS 58. PRINT JOINT DISPLACEMENTS LIST 5 25 45 65 JOINT DISPLACE LIST 5 FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 3 JOINT DISPLACEMENT (CM RADIANS) STRUCTURE TYPE = SPACE ------------------ JOINT LOAD X-TRANS Y-TRANS Z-TRANS X-ROTAN Y-ROTAN Z-ROTAN 5 1 -0.0103 0.0007 -0.0103 0.0002 0.0000 -0.0002 25 1 0.0103 0.0007 -0.0103 0.0002 0.0000 0.0002 45 1 0.0103 0.0007 0.0103 -0.0002 0.0000 0.0002 65 1 -0.0103 0.0007 0.0103 -0.0002 0.0000 -0.0002 ************** END OF LATEST ANALYSIS RESULT ************** 59. PRINT ELEM FORCE LIST 9 TO 16 ELEM FORCE LIST 9 FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 4 ELEMENT FORCES FORCE,LENGTH UNITS= KNS MMS -------------- GLOBAL CORNER FORCES JOINT FX FY FZ MX MY MZ ELE.NO. 9 FOR LOAD CASE 1 11 -8.8840E+01 -5.4966E+01 2.9486E+02 1.3176E+05 -4.1177E+04 1.0696E+04 12 -8.2763E+01 -6.0241E+00 -4.4118E+01 7.9554E+04 5.9496E+04 -1.6817E+04 17 1.4375E+02 4.7401E+01 -5.6234E+01 1.2776E+05 -1.1029E+05 2.1861E+04 16 2.7850E+01 1.3590E+01 2.5550E+02 1.4896E+05 5.3365E+04 -1.5740E+04 ELE.NO. 10 FOR LOAD CASE 1 12 -1.8729E+02 6.0241E+00 4.4118E+01 -7.9554E+04 1.0833E+05 4.7435E+04 13 -1.9921E+02 -3.6766E+01 2.0250E+01 6.9592E+04 1.0234E+05 -5.8037E+04 18 2.2995E+02 -1.3963E+01 1.1488E+02 5.8552E+04 -5.3896E+04 6.1870E+04 17 1.5655E+02 4.4705E+01 1.5825E+02 1.8395E+03 -2.0026E+02 -5.1268E+04 ELE.NO. 11 FOR LOAD CASE 1 13 -2.1146E+02 3.6766E+01 -2.0250E+01 -6.9592E+04 1.2194E+05 5.7366E+04 14 -2.3180E+02 -1.4769E+01 3.2094E+01 2.6339E+04 1.0470E+05 -6.4752E+04 19 2.0981E+02 -3.2909E+01 1.4009E+02 -1.5592E+04 -2.4195E+04 6.5369E+04 18 2.3345E+02 1.0912E+01 7.3067E+01 -3.0678E+04 -5.1461E+04 -5.7982E+04 ELE.NO. 12 FOR LOAD CASE 1 14 -1.7545E+02 1.4769E+01 -3.2094E+01 -2.6339E+04 1.0553E+05 4.3931E+04 15 -1.7917E+02 -1.7164E-07 -5.3352E-07 5.4335E-04 9.5913E+04 -4.9179E+04 20 1.6440E+02 -2.5971E+00 9.3630E+01 -2.8746E+04 -2.4521E+04 4.5374E+04 19 1.9022E+02 -1.2172E+01 5.0964E+01 -9.8543E+02 -4.4410E+04 -4.0126E+04 ELE.NO. 13 FOR LOAD CASE 1 16 -1.0576E+02 -8.2837E+01 9.5266E+01 -1.4733E+04 2.7047E+04 1.5133E+04 17 -3.2926E+01 -6.8334E+01 3.5521E+01 -8.9147E+03 -4.0371E+03 -2.4466E+04 22 1.8410E+02 2.6957E+01 1.9413E+02 -1.6851E+04 6.2037E+04 2.9884E+04 21 -4.5408E+01 1.2421E+02 1.2508E+02 3.3522E+04 5.6274E+04 -2.0551E+04 ELE.NO. 14 FOR LOAD CASE 1 17 -2.6737E+02 -2.3772E+01 -1.3754E+02 -1.2068E+05 1.1453E+05 5.3873E+04 18 -2.5271E+02 -5.3156E+00 -6.4895E+01 3.2784E+04 5.0765E+04 -5.2692E+04 23 2.8179E+02 5.6045E+01 3.1168E+02 -8.0772E+04 2.0347E+05 6.3464E+04 22 2.3828E+02 -2.6957E+01 2.2825E+02 5.1613E+04 1.8801E+05 -6.4645E+04 ELE.NO. 15 FOR LOAD CASE 1 18 -2.1070E+02 8.3668E+00 -1.2305E+02 -6.0658E+04 5.4592E+04 4.8803E+04 19 -2.3137E+02 2.9518E+01 -9.1935E+01 4.3694E+04 4.6686E+04 -5.2443E+04 24 1.9349E+02 1.8160E+01 2.2130E+02 -7.1791E+04 1.9591E+05 4.9794E+04 23 2.4858E+02 -5.6045E+01 2.1869E+02 6.3463E+04 1.9404E+05 -4.6155E+04 ELE.NO. 16 FOR LOAD CASE 1 19 -1.6865E+02 1.5563E+01 -9.9117E+01 -2.7116E+04 2.1920E+04 2.7200E+04 20 -1.6440E+02 2.5971E+00 -9.3630E+01 2.8746E+04 2.4521E+04 -4.5374E+04 25 1.4624E+02 -1.1240E-06 1.4624E+02 -5.5416E+04 1.6204E+05 5.5416E+04 24 1.8681E+02 -1.8160E+01 1.5900E+02 5.9238E+04 1.6501E+05 -3.7241E+04 60. START CONCRETE DESIGN FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 5 CONCRETE DESIGN 61. CODE BS8007 PROGRAM CODE REVISION V1.0_8007_87/1 62. DESIGN SLAB 9 12 FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 6 -------------------------------------------------------------------------- | ELEMENT DESIGN TO BS8007 AND BS8110 ELEMENT NO. 9 | |--------------------------------------------------------------------------| | A > e f g | | l--------|---------k Top___________________________________ | | | | | o_______o_______o_______o_______o | | | | ! y | | outer bars // to x | My | | | | | | o-------o-------o-------o-------o | | | | z+ --> x | Bot----------------------------------- | | | | Section A-A | | | | | | i--------|---------j Depth=200 mm Width=1000 mm Cover=20 mm | | A > | |--------------------------------------------------------------------------| | Ultimate Limit State | 12 mm Bars | 16 mm Bars | 20 mm Bars | | Max.Momnt. kNm/m Lo |C/C AS R. AS P.|C/C AS R. AS P.|C/C AS R. AS P.| |----------------------|---|------|-----|---|------|------|---|------|-----| | Mx Top = 0.0 0 |200| 259 | 565 |200| 259 | 1065 |200| 259 |1572 | | Mx Bot = -24.5 1 |200| 367 | 565 |200| 372 | 1065 |200| 376 |1572 | | My Top = 25.1 1 |200| 404 | 565 |200| 420 | 1065 |200| 437 |1572 | | My Bot = 0.0 0 |200| 259 | 565 |200| 259 | 1065 |200| 259 |1572 | -------------------------------------------------------------------------- -------------------------------------------------------------------------- | SERVICEABILITY LIMIT STATE ELEMENT NO. 9 | |--------------------------------------------------------------------------| | Longitudinal Moments Mx kNm/m | Transverse Moments My kNm/m | | Flexural Crack Width mm | Flexural Crack Width mm | |------------------------------------|-------------------------------------| | Top= 0.0 L. 0 Bot= -24.5 L. 1| Top= 25.1 L. 1 Bot= 0.0 L. 0 | |------------------------------------|-------------------------------------| | 12 | 16 | 20 | @ | 12 | 16 | 20 | 12 | 16 | 20 | @ | 12 | 16 | 20 | |----|----|----|-----|----|----|-----|-----|----|----|-----|----|----|-----| |0.00|0.00|0.00| e |0.08|0.04|0.03 | 0.17|0.12|0.12| e |0.00|0.00|0.00 | |0.00|0.00|0.00| f |0.20|0.11|0.08 | 0.27|0.17|0.15| f |0.00|0.00|0.00 | |0.00|0.00|0.00| g |0.10|0.06|0.05 | 0.13|0.08|0.08| g |0.00|0.00|0.00 | |--------------------------------------------------------------------------| | Thermal Crack Width Calculations Based On Wmax=Smax*R*T1*Alfa | |--------------------------------------------------------------------------| | Surface Type : Suspended Constuction type : 1 Temp. Range = 30 C | |--------------------------------------------------------------------------| | Surface Zones & ROWcrit | 8 mm bars |10 mm Bars |12 mm Bars |16 mm Bars | | Top : 100 mm 350 mm2 |-----------|-----------|-----------|-----------| | Bot. : 100 mm 350 mm2 | Top | Bot.| Top | Bot.| Top | Bot.| Top | Bot.| |--------------------------|-----|-----|-----|-----|-----|-----|-----|-----| | Smax mm | 765 | 765 | 957 | 957 |1148 |1148 |1531 |1531 | | Wmax mm |0.14 |0.14 |0.17 |0.17 |0.21 |0.21 |0.28 |0.28 | | Sp. For Wmax = 0.20 mm | 208 | 208 | 260 | 260 | 312 | 312 | 416 | 416 | -------------------------------------------------------------------------- FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 7 -------------------------------------------------------------------------- | ELEMENT DESIGN TO BS8007 AND BS8110 ELEMENT NO. 12 | |--------------------------------------------------------------------------| | A > e f g | | l--------|---------k Top___________________________________ | | | | | o_______o_______o_______o_______o | | | | ! y | | outer bars // to x | My | | | | | | o-------o-------o-------o-------o | | | | z+ --> x | Bot----------------------------------- | | | | Section A-A | | | | | | i--------|---------j Depth=200 mm Width=1000 mm Cover=20 mm | | A > | |--------------------------------------------------------------------------| | Ultimate Limit State | 12 mm Bars | 16 mm Bars | 20 mm Bars | | Max.Momnt. kNm/m Lo |C/C AS R. AS P.|C/C AS R. AS P.|C/C AS R. AS P.| |----------------------|---|------|-----|---|------|------|---|------|-----| | Mx Top = 0.0 0 |200| 259 | 565 |200| 259 | 1065 |200| 259 |1572 | | Mx Bot = -0.5 1 |200| 259 | 565 |200| 259 | 1065 |200| 259 |1572 | | My Top = 90.1 1 |***| 1621 | 565 |100| 1712 | 2011 |150| 1816 |2094 | | My Bot = 0.0 0 |200| 259 | 565 |200| 259 | 1065 |200| 259 |1572 | -------------------------------------------------------------------------- -------------------------------------------------------------------------- | SERVICEABILITY LIMIT STATE ELEMENT NO. 12 | |--------------------------------------------------------------------------| | Longitudinal Moments Mx kNm/m | Transverse Moments My kNm/m | | Flexural Crack Width mm | Flexural Crack Width mm | |------------------------------------|-------------------------------------| | Top= 0.0 L. 0 Bot= -0.5 L. 1| Top= 90.1 L. 1 Bot= 0.0 L. 0 | |------------------------------------|-------------------------------------| | 12 | 16 | 20 | @ | 12 | 16 | 20 | 12 | 16 | 20 | @ | 12 | 16 | 20 | |----|----|----|-----|----|----|-----|-----|----|----|-----|----|----|-----| |0.00|0.00|0.00| e |-.03|-.02|-.01 | 0.76|0.30|0.40| e |0.00|0.00|0.00 | |0.00|0.00|0.00| f |-.08|-.04|-.02 | 1.75|0.32|0.44| f |0.00|0.00|0.00 | |0.00|0.00|0.00| g |-.04|-.02|-.01 | 0.56|0.20|0.25| g |0.00|0.00|0.00 | |--------------------------------------------------------------------------| | Thermal Crack Width Calculations Based On Wmax=Smax*R*T1*Alfa | |--------------------------------------------------------------------------| | Surface Type : Suspended Constuction type : 1 Temp. Range = 30 C | |--------------------------------------------------------------------------| | Surface Zones & ROWcrit | 8 mm bars |10 mm Bars |12 mm Bars |16 mm Bars | | Top : 100 mm 350 mm2 |-----------|-----------|-----------|-----------| | Bot. : 100 mm 350 mm2 | Top | Bot.| Top | Bot.| Top | Bot.| Top | Bot.| |--------------------------|-----|-----|-----|-----|-----|-----|-----|-----| | Smax mm | 765 | 765 | 957 | 957 |1148 |1148 |1531 |1531 | | Wmax mm |0.14 |0.14 |0.17 |0.17 |0.21 |0.21 |0.28 |0.28 | | Sp. For Wmax = 0.20 mm | 208 | 208 | 260 | 260 | 312 | 312 | 416 | 416 | -------------------------------------------------------------------------- ***************************END OF ELEMENT DESIGN************************** 63. END CONCRETE DESIGN 64. FINISH FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 8 *********** END OF THE STAAD.Pro RUN *********** **** DATE= DEC 14,2023 TIME= 9:34:38 **** ************************************************************ * For technical assistance on STAAD.Pro, please visit * * http://www.bentley.com/en/support/ * * * * Details about additional assistance from * * Bentley and Partners can be found at program menu * * Help->Technical Support * * * * Copyright (c) Bentley Systems, Inc. * * http://www.bentley.com * ************************************************************