EX. UK-3 Soil Springs for Portal Frame
A portal frame type steel structure is sitting on concrete footings. The soil is to be considered as an elastic foundation. The value of soil subgrade reaction is known from which spring constants are calculated by multiplying the subgrade reaction by the tributary area of each modeled spring.
This problem is installed with the program by default to C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Sample Models\UK\UK-3 Soil Springs for Portal Frame.STD when you install the program.
Where:
- B = 6 m, H = 3 m, F1 = 1.2 m, F2 = 2.4 m
- P = 20 KN, w = 4.5 KN/m
- Soil Subgrade Reaction = 41,666.67 KN/m3
Springs of Joints | Spring Constant |
---|---|
1, 5, 10, & 14 (Edges) |
2.4 x 0.3 x 41,666.67 = 30,000 KN/m |
2, 3, 4, 11, 12, & 13 (Interior) |
2.4 x 0.6 x 41,666.67 = 60,000 KN/m |
Actual input is shown in bold lettering followed by explanation.
STAAD PLANE PORTAL ON FOOTING FOUNDATION
Every input has to start with the term STAAD
. The term PLANE
signifies that the structure is a plane frame structure and the geometry is defined through X and Y axes.
UNIT METER KNS
Defines the input units for the data that follows.
JOINT COORDINATES
1 0.0 0.0 0.0 5 2.4 0.0 0.0
6 1.2 3.0 0.0 ; 7 1.2 6.0 0.0
8 7.2 6.0 0.0 ; 9 7.2 3.0 0.0
10 6.0 0.0 0.0 14 8.4 0.0 0.0
Joint number followed by X, Y and Z coordinates are provided above. Since this is a plane structure, the Z coordinates are given as all zeros.
MEMBER INCIDENCES
1 1 2 4
5 3 6 ; 6 6 7
7 7 8 ; 8 6 9
9 8 9 ; 10 9 12
11 10 11 14
Defines the members by the joints to which they are connected.
MEMBER PROPERTIES BRITISH
1 4 11 14 PRIS YD 0.30 ZD 2.40
2 3 12 13 PRIS YD 0.60 ZD 2.40
5 6 9 10 TABLE ST JO254X203
7 8 TA ST UB305X165X40
The first two lines define member properties as prismatic (PRIS
) followed by depth (YD
) and width (ZD
) values. The program will calculate the properties necessary to perform the analysis. See
G.6.1 Prismatic Properties
for additional information. Member properties for the remaining members are chosen from the British steel table. The term ST
stands for standard single section.
UNIT MMS
* E FOR STEEL IS 210 (KN/sq.mm.) AND FOR CONCRETE 21 (KN/sq.mm.)
DEFINE MATERIAL START
ISOTROPIC STEEL
E 210
POISSON 0.3
DENSITY 76.977e-009
ALPHA 6e-006
DAMP 0.03
TYPE STEEL
STRENGTH FY 0.24821 FU 0.399894 RY 1.5 RT 1.2
ISOTROPIC CONCRETE
E 21
POISSON 0.17
DENSITY 23.534e-009
ALPHA 5e-006
DAMP 0.05
G 9.25
TYPE CONCRETE
STRENGTH FCU 0.0275
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE MEMB 1 TO 4 11 TO 14
MATERIAL STEEL MEMB 5 TO 10
The CONSTANT
command initiates input for material constants like modulus of elasticity, Density, and Poisson's ratio.
The length unit is changed from METER
to MM
to facilitate the input in familiar units.
SUPPORTS
2 TO 4 11 TO 13 FIXED BUT MZ KFY 60
1 5 10 14 FIXED BUT MZ KFY 30
The supports for the structure are specified above. The first set of joints are supports restrained in all directions except global moment-z (MZ
).
Also, a spring having a spring constant of 60 KN/mm is provided in the global Y direction at these nodes.
The second set is similar to the former except for a different value of the spring constant.
UNIT METER
LOADING 1 DEAD AND WIND LOAD COMBINED
Load case 1 is initiated followed by a title.
SELF Y -1.0
The selfweight of the structure is specified as acting in the global Y direction with a -1.0 factor.
Since global Y is vertically upwards, the -1.0 factor indicates that this load will act downwards.
JOINT LOAD
6 7 FX 20.0
Load 1 contains joint loads also. FX
indicates that the load is a force in the global X direction.
MEMBER LOAD
7 8 UNI GY -45.0
Load 1 contains member loads also. GY
indicates that the load acts in the global Y direction. The term UNI
stands for uniformly distributed load, and is applied on members 7 and 8, acting downwards.
PERFORM ANALYSIS
This command instructs the program to proceed with the analysis.
PRINT ANALYSIS RESULTS
The above PRINT
command instructs the program to print analysis results which include joint displacements, member forces and support reactions.
FINISH
This command terminates the STAAD run.
Input File
STAAD PLANE PORTAL ON FOOTING FOUNDATION
UNIT METER KNS
JOINT COORDINATES
1 0.0 0.0 0.0 5 2.4 0.0 0.0
6 1.2 3.0 0.0 ; 7 1.2 6.0 0.0
8 7.2 6.0 0.0 ; 9 7.2 3.0 0.0
10 6.0 0.0 0.0 14 8.4 0.0 0.0
MEMBER INCIDENCES
1 1 2 4
5 3 6 ; 6 6 7
7 7 8 ; 8 6 9
9 8 9 ; 10 9 12
11 10 11 14
MEMBER PROPERTIES BRITISH
1 4 11 14 PRIS YD 0.30 ZD 2.40
2 3 12 13 PRIS YD 0.60 ZD 2.40
5 6 9 10 TABLE ST JO254X203
7 8 TA ST UB305X165X40
UNIT MMS
* E FOR STEEL IS 210 (KN/sq.mm.) AND FOR CONCRETE 21 (KN/sq.mm.)
DEFINE MATERIAL START
ISOTROPIC STEEL
E 210
POISSON 0.3
DENSITY 76.977e-009
ALPHA 6e-006
DAMP 0.03
TYPE STEEL
STRENGTH FY 0.24821 FU 0.399894 RY 1.5 RT 1.2
ISOTROPIC CONCRETE
E 21
POISSON 0.17
DENSITY 23.534e-009
ALPHA 5e-006
DAMP 0.05
G 9.25
TYPE CONCRETE
STRENGTH FCU 0.0275
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE MEMB 1 TO 4 11 TO 14
MATERIAL STEEL MEMB 5 TO 10
SUPPORTS
2 TO 4 11 TO 13 FIXED BUT MZ KFY 60
1 5 10 14 FIXED BUT MZ KFY 30
UNIT METER
LOADING 1 DEAD AND WIND LOAD COMBINED
SELF Y -1.0
JOINT LOAD
6 7 FX 20.0
MEMBER LOAD
7 8 UNI GY -45.0
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
FINISH
PAGE NO. 1
****************************************************
* *
* STAAD.Pro 2023 *
* Version 23.00.03.** *
* Proprietary Program of *
* Bentley Systems, Inc. *
* Date= JUL 4, 2024 *
* Time= 11:22:47 *
* *
* Licensed to: Bentley Systems Inc *
****************************************************
1. STAAD PLANE PORTAL ON FOOTING FOUNDATION
INPUT FILE: D:\Documentation\STAAD.Pro\_Automated_Py\output\2024-07-04\SPro_Output_Input_Files\Sample .. .STD
2. UNIT METER KNS
3. JOINT COORDINATES
4. 1 0.0 0.0 0.0 5 2.4 0.0 0.0
5. 6 1.2 3.0 0.0 ; 7 1.2 6.0 0.0
6. 8 7.2 6.0 0.0 ; 9 7.2 3.0 0.0
7. 10 6.0 0.0 0.0 14 8.4 0.0 0.0
8. MEMBER INCIDENCES
9. 1 1 2 4
10. 5 3 6 ; 6 6 7
11. 7 7 8 ; 8 6 9
12. 9 8 9 ; 10 9 12
13. 11 10 11 14
14. MEMBER PROPERTIES BRITISH
15. 1 4 11 14 PRIS YD 0.30 ZD 2.40
16. 2 3 12 13 PRIS YD 0.60 ZD 2.40
17. 5 6 9 10 TABLE ST JO254X203
18. 7 8 TA ST UB305X165X40
19. UNIT MMS
20. * E FOR STEEL IS 210 (KN/SQ.MM.) AND FOR CONCRETE 21 (KN/SQ.MM.)
21. DEFINE MATERIAL START
22. ISOTROPIC STEEL
23. E 210
24. POISSON 0.3
25. DENSITY 76.977E-009
26. ALPHA 6E-006
27. DAMP 0.03
28. TYPE STEEL
29. STRENGTH FY 0.24821 FU 0.399894 RY 1.5 RT 1.2
30. ISOTROPIC CONCRETE
31. E 21
32. POISSON 0.17
33. DENSITY 23.534E-009
34. ALPHA 5E-006
35. DAMP 0.05
36. G 9.25
37. TYPE CONCRETE
38. STRENGTH FCU 0.0275
PORTAL ON FOOTING FOUNDATION -- PAGE NO. 2
39. END DEFINE MATERIAL
40. CONSTANTS
41. MATERIAL CONCRETE MEMB 1 TO 4 11 TO 14
42. MATERIAL STEEL MEMB 5 TO 10
43. SUPPORTS
44. 2 TO 4 11 TO 13 FIXED BUT MZ KFY 60
45. 1 5 10 14 FIXED BUT MZ KFY 30
46. UNIT METER
47. LOADING 1 DEAD AND WIND LOAD COMBINED
48. SELF Y -1.0
49. JOINT LOAD
50. 6 7 FX 20.0
51. MEMBER LOAD
52. 7 8 UNI GY -45.0
53. PERFORM ANALYSIS
P R O B L E M S T A T I S T I C S
-----------------------------------
NUMBER OF JOINTS 14 NUMBER OF MEMBERS 14
NUMBER OF PLATES 0 NUMBER OF SOLIDS 0
NUMBER OF SURFACES 0 NUMBER OF SUPPORTS 10
Using 64-bit analysis engine.
SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER
TOTAL PRIMARY LOAD CASES = 1, TOTAL DEGREES OF FREEDOM = 32
TOTAL LOAD COMBINATION CASES = 0 SO FAR.
54. PRINT ANALYSIS RESULTS
ANALYSIS RESULTS
PORTAL ON FOOTING FOUNDATION -- PAGE NO. 3
JOINT DISPLACEMENT (CM RADIANS) STRUCTURE TYPE = PLANE
------------------
JOINT LOAD X-TRANS Y-TRANS Z-TRANS X-ROTAN Y-ROTAN Z-ROTAN
1 1 0.0000 -0.1075 0.0000 0.0000 0.0000 -0.0003
2 1 0.0000 -0.1232 0.0000 0.0000 0.0000 -0.0002
3 1 0.0000 -0.1367 0.0000 0.0000 0.0000 -0.0002
4 1 0.0000 -0.1466 0.0000 0.0000 0.0000 -0.0002
5 1 0.0000 -0.1531 0.0000 0.0000 0.0000 -0.0001
6 1 0.5036 -0.1720 0.0000 0.0000 0.0000 -0.0032
7 1 1.0714 -0.1898 0.0000 0.0000 0.0000 -0.0045
8 1 1.0286 -0.2097 0.0000 0.0000 0.0000 0.0022
9 1 0.5240 -0.1901 0.0000 0.0000 0.0000 -0.0003
10 1 0.0000 -0.0897 0.0000 0.0000 0.0000 -0.0005
11 1 0.0000 -0.1210 0.0000 0.0000 0.0000 -0.0005
12 1 0.0000 -0.1504 0.0000 0.0000 0.0000 -0.0005
13 1 0.0000 -0.1759 0.0000 0.0000 0.0000 -0.0004
14 1 0.0000 -0.1969 0.0000 0.0000 0.0000 -0.0003
PORTAL ON FOOTING FOUNDATION -- PAGE NO. 4
SUPPORT REACTIONS -UNIT KNS METE STRUCTURE TYPE = PLANE
-----------------
JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z
2 1 0.00 73.95 0.00 0.00 0.00 0.00
3 1 0.09 82.00 0.00 0.00 0.00 0.00
4 1 0.00 87.96 0.00 0.00 0.00 0.00
11 1 0.00 72.58 0.00 0.00 0.00 0.00
12 1 -40.09 90.24 0.00 0.00 0.00 0.00
13 1 0.00 105.56 0.00 0.00 0.00 0.00
1 1 0.00 32.25 0.00 0.00 0.00 0.00
5 1 0.00 45.92 0.00 0.00 0.00 0.00
10 1 0.00 26.90 0.00 0.00 0.00 0.00
14 1 0.00 59.07 0.00 0.00 0.00 0.00
PORTAL ON FOOTING FOUNDATION -- PAGE NO. 5
MEMBER END FORCES STRUCTURE TYPE = PLANE
-----------------
ALL UNITS ARE -- KNS METE (LOCAL )
MEMBER LOAD JT AXIAL SHEAR-Y SHEAR-Z TORSION MOM-Y MOM-Z
1 1 1 0.00 32.25 0.00 0.00 0.00 0.00
2 0.00 -22.08 0.00 0.00 0.00 16.30
2 1 2 0.00 96.03 0.00 0.00 0.00 -16.30
3 0.00 -75.70 0.00 0.00 0.00 67.82
3 1 3 0.00 -103.39 0.00 0.00 0.00 -92.63
4 0.00 123.72 0.00 0.00 0.00 24.50
4 1 4 0.00 -35.76 0.00 0.00 0.00 -24.50
5 0.00 45.92 0.00 0.00 0.00 0.00
5 1 3 261.09 -0.09 0.00 0.00 0.00 24.82
6 -258.66 0.09 0.00 0.00 0.00 -25.09
6 1 6 132.10 -56.74 0.00 0.00 0.00 -73.59
7 -129.67 56.74 0.00 0.00 0.00 -96.64
7 1 7 76.74 129.67 0.00 0.00 0.00 96.64
8 -76.74 142.70 0.00 0.00 0.00 -135.72
8 1 6 -36.65 126.57 0.00 0.00 0.00 98.68
9 36.65 145.80 0.00 0.00 0.00 -156.40
9 1 8 142.70 76.74 0.00 0.00 0.00 135.72
9 -145.12 -76.74 0.00 0.00 0.00 94.51
10 1 9 290.93 40.09 0.00 0.00 0.00 61.89
12 -293.35 -40.09 0.00 0.00 0.00 58.38
11 1 10 0.00 26.90 0.00 0.00 0.00 -0.00
11 0.00 -16.74 0.00 0.00 0.00 13.09
12 1 11 0.00 89.32 0.00 0.00 0.00 -13.09
12 0.00 -68.99 0.00 0.00 0.00 60.58
13 1 12 0.00 -134.13 0.00 0.00 0.00 -118.97
13 0.00 154.46 0.00 0.00 0.00 32.39
14 1 13 0.00 -48.90 0.00 0.00 0.00 -32.39
14 0.00 59.07 0.00 0.00 0.00 0.00
PORTAL ON FOOTING FOUNDATION -- PAGE NO. 6
************** END OF LATEST ANALYSIS RESULT **************
55. FINISH
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= JUL 4,2024 TIME= 11:22:48 ****
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