EX. US-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 2024\Samples \Sample Models\US\US-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 FEET KIPS
Defines the input units for the data that follows.
JOINT COORDINATES
1 0. 0. 0. 5 0. 20. 0.
REPEAT 4 5. 0. 0.
REPEAT 4 0. 0. 5.
REPEAT 4 -5. 0. 0.
REPEAT 3 0. 0. -5.
81 5. 0. 5. 83 5. 0. 15.
REPEAT 2 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 INCHES
ELEMENT PROPERTIES
1 TO 80 TH 8.0
Element properties are provided by specifying that the elements are 8.0 inches THick.
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 3000.
POISSON 0.17
DENSITY 8.7e-005
ALPHA 5e-006
DAMP 0.05
G 1346.15
TYPE CONCRETE
STRENGTH FCU 4
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 FT
LOAD 1
ELEMENT LOAD
4 TO 64 BY 4 PR 1.
3 TO 63 BY 4 PR 2.
2 TO 62 BY 4 PR 3.
1 TO 61 BY 4 PR 4.
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 INCHES
PRINT JOINT DISPLACEMENTS LIST 5 25 45 65
The joint displacement values for the listed nodes will be reported in the output file as a result of the above command.
PRINT ELEM FORCE LIST 13 16
PRINT ELEM STRESS LIST 9 12
Two types of results are requested for elements. The first one requests the nodal point forces in the global axes directions to be reported for elements 13 and 16. The second one requests element centroid stresses in the element local axes directions to be reported for elements 9 and 12. These results will appear in a tabular form in the output file.
START CONCRETE DESIGN
The above command initiates concrete design.
CODE ACI
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
UNITS FEET KIPS
JOINT COORDINATES
1 0. 0. 0. 5 0. 20. 0.
REPEAT 4 5. 0. 0.
REPEAT 4 0. 0. 5.
REPEAT 4 -5. 0. 0.
REPEAT 3 0. 0. -5.
81 5. 0. 5. 83 5. 0. 15.
REPEAT 2 5. 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 INCHES
ELEMENT PROPERTIES
1 TO 80 TH 8.0
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 3000.
POISSON 0.17
DENSITY 8.7e-005
ALPHA 5e-006
DAMP 0.05
G 1346.15
TYPE CONCRETE
STRENGTH FCU 4
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE ALL
SUPPORT
1 TO 76 BY 5 81 TO 89 PINNED
UNIT FT
LOAD 1
ELEMENT LOAD
4 TO 64 BY 4 PR 1.
3 TO 63 BY 4 PR 2.
2 TO 62 BY 4 PR 3.
1 TO 61 BY 4 PR 4.
PERFORM ANALYSIS
UNIT INCHES
PRINT JOINT DISPLACEMENTS LIST 5 25 45 65
PRINT ELEM FORCE LIST 13 16
PRINT ELEM STRESS LIST 9 12
START CONCRETE DESIGN
CODE ACI 2011
DESIGN SLAB 9 12
END CONCRETE DESIGN
FINISH
PAGE NO. 1
****************************************************
* *
* STAAD.Pro 2023 *
* Version 23.00.03.** *
* Proprietary Program of *
* Bentley Systems, Inc. *
* Date= JUL 4, 2024 *
* Time= 11:24:24 *
* *
* Licensed to: Bentley Systems Inc *
****************************************************
1. STAAD SPACE FINITE ELEMENT MODEL OF TANK STRUCTURE
INPUT FILE: D:\Documentation\STAAD.Pro\_Automated_Py\output\2024-07-04\SPro_Output_Input_Files\Sample .. .STD
2. UNITS FEET KIPS
3. JOINT COORDINATES
4. 1 0. 0. 0. 5 0. 20. 0.
5. REPEAT 4 5. 0. 0.
6. REPEAT 4 0. 0. 5.
7. REPEAT 4 -5. 0. 0.
8. REPEAT 3 0. 0. -5.
9. 81 5. 0. 5. 83 5. 0. 15.
10. REPEAT 2 5. 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 INCHES
32. ELEMENT PROPERTIES
33. 1 TO 80 TH 8.0
34. DEFINE MATERIAL START
35. ISOTROPIC CONCRETE
36. E 3000.
37. POISSON 0.17
38. DENSITY 8.7E-005
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 2
39. ALPHA 5E-006
40. DAMP 0.05
41. G 1346.15
42. TYPE CONCRETE
43. STRENGTH FCU 4
44. END DEFINE MATERIAL
45. CONSTANTS
46. MATERIAL CONCRETE ALL
47. SUPPORT
48. 1 TO 76 BY 5 81 TO 89 PINNED
49. UNIT FT
50. LOAD 1
51. ELEMENT LOAD
52. 4 TO 64 BY 4 PR 1.
53. 3 TO 63 BY 4 PR 2.
54. 2 TO 62 BY 4 PR 3.
55. 1 TO 61 BY 4 PR 4.
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 INCHES
58. PRINT JOINT DISPLACEMENTS LIST 5 25 45 65
JOINT DISPLACE LIST 5
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 3
JOINT DISPLACEMENT (INCH RADIANS) STRUCTURE TYPE = SPACE
------------------
JOINT LOAD X-TRANS Y-TRANS Z-TRANS X-ROTAN Y-ROTAN Z-ROTAN
5 1 -0.00403 0.00027 -0.00403 0.00021 0.00000 -0.00021
25 1 0.00403 0.00027 -0.00403 0.00021 0.00000 0.00021
45 1 0.00403 0.00027 0.00403 -0.00021 0.00000 0.00021
65 1 -0.00403 0.00027 0.00403 -0.00021 0.00000 -0.00021
************** END OF LATEST ANALYSIS RESULT **************
59. PRINT ELEM FORCE LIST 13 16
ELEM FORCE LIST 13
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 4
ELEMENT FORCES FORCE,LENGTH UNITS= KIPS INCH
--------------
GLOBAL CORNER FORCES
JOINT FX FY FZ MX MY MZ
ELE.NO. 13 FOR LOAD CASE 1
16 -2.3570E+01 -1.8550E+01 2.1089E+01 -1.3649E+02 2.4437E+02 1.3427E+02
17 -7.0147E+00 -1.5328E+01 8.0498E+00 -8.5004E+01 -4.0990E+01 -2.1558E+02
22 4.0892E+01 5.9984E+00 4.3154E+01 -1.4891E+02 5.4757E+02 2.6486E+02
21 -1.0308E+01 2.7879E+01 2.7707E+01 2.9817E+02 5.0071E+02 -1.8356E+02
ELE.NO. 16 FOR LOAD CASE 1
19 -3.7438E+01 3.4537E+00 -2.2002E+01 -2.4192E+02 1.9474E+02 2.4055E+02
20 -3.6565E+01 6.0104E-01 -2.0799E+01 2.5567E+02 2.1788E+02 -4.0380E+02
25 3.2510E+01 1.7764E-15 3.2510E+01 -4.9347E+02 1.4400E+03 4.9347E+02
24 4.1493E+01 -4.0547E+00 3.5291E+01 5.2703E+02 1.4655E+03 -3.3022E+02
60. PRINT ELEM STRESS LIST 9 12
ELEM STRESS LIST 9
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 5
ELEMENT STRESSES FORCE,LENGTH UNITS= KIPS INCH
----------------
STRESS = FORCE/UNIT WIDTH/THICK, MOMENT = FORCE-LENGTH/UNIT WIDTH
ELEMENT LOAD SQX SQY MX MY MXY
VONT VONB SX SY SXY
TRESCAT TRESCAB
9 1 0.15 0.01 -5.43 5.56 5.60
1.35 1.20 0.02 0.08 0.03
1.55 1.39
TOP : SMAX= 0.83 SMIN= -0.72 TMAX= 0.78 ANGLE= 67.3
BOTT: SMAX= 0.74 SMIN= -0.65 TMAX= 0.69 ANGLE=-22.8
12 1 -0.02 -0.04 -0.11 20.01 -0.21
2.05 1.72 -0.00 0.16 -0.01
2.05 1.72
TOP : SMAX= 2.04 SMIN= -0.01 TMAX= 1.03 ANGLE=-89.3
BOTT: SMAX= 0.01 SMIN= -1.71 TMAX= 0.86 ANGLE= 0.4
**** MAXIMUM STRESSES AMONG SELECTED PLATES AND CASES ****
MAXIMUM MINIMUM MAXIMUM MAXIMUM MAXIMUM
PRINCIPAL PRINCIPAL SHEAR VONMISES TRESCA
STRESS STRESS STRESS STRESS STRESS
2.040916E+00 -1.712074E+00 1.026498E+00 2.046982E+00 2.052995E+00
PLATE NO. 12 12 12 12 12
CASE NO. 1 1 1 1 1
********************END OF ELEMENT FORCES********************
61. START CONCRETE DESIGN
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 6
CONCRETE DESIGN
62. CODE ACI 2011
63. DESIGN SLAB 9 12
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 7
ACI 318-11 ELEMENT DESIGN SUMMARY
=====================================
ELEMENT LONG. REINF MOM-X /LOAD TRANS. REINF MOM-Y /LOAD
(SQ.IN/FT) (K-FT/FT) (SQ.IN/FT) (K-FT/FT)
FY: 60.000 KSI FC: 4.000 KSI COVER (TOP): 0.750 IN
COVER (BOTTOM): 0.750 IN TH: 8.000 IN
9 TOP : Longitudinal direction - Only minimum steel required.
9 BOTT: Transverse direction - Only minimum steel required.
9 TOP : 0.086 0.00 / 0 0.194 5.56 / 1
BOTT: 0.176 5.43 / 1 0.086 0.00 / 0
FY: 60.000 KSI FC: 4.000 KSI COVER (TOP): 0.750 IN
COVER (BOTTOM): 0.750 IN TH: 8.000 IN
12 TOP : Longitudinal direction - Only minimum steel required.
12 BOTT: Longitudinal direction - Only minimum steel required.
12 BOTT: Transverse direction - Only minimum steel required.
12 TOP : 0.086 0.00 / 0 0.747 20.01 / 1
BOTT: 0.086 0.11 / 1 0.086 0.00 / 0
***************************END OF ELEMENT DESIGN***************************
64. END CONCRETE DESIGN
65. FINISH
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= JUL 4,2024 TIME= 11:24:25 ****
FINITE ELEMENT MODEL OF TANK STRUCTURE -- PAGE NO. 8
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