EX. US-22 Time History Analysis for Sinusoidal Loading
A space frame structure is subjected to a sinusoidal (dynamic) loading. The commands necessary to describe the sine function are demonstrated in this example. Time History analysis is performed on this model.
This problem is installed with the program by default to C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Sample Models\US\US-22 Time History Analysis for Sinusoidal Loading.STD when you install the program.
UNIT KIP FEET
The units for the data that follows are specified above.
JOINT COORDINATES
1 0 0 0 ; 2 15 0 0 ; 3 15 0 15 ; 4 0 0 15
5 0 20 0 ; 6 7.5 20 0 ; 7 15 20 0 ; 8 15 20 7.5
9 15 20 15 ; 10 7.5 20 15 ; 11 0 20 15
12 0 20 7.5
UNIT INCH
MEMBER PROPERTIES
1 TO 12 PRIS YD 12 ZD 12
Members 1 to 12 are defined as PRISmatic sections with width and depth values of 12 inches. The UNIT command is specified to change the units for input from FEET to INCHes.
SUPPORTS
1 TO 4 PINNED
Joints 1 to 4 are declared to be pinned-supported.
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 3150
POISSON 0.17
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
The DEFINE MATERIAL
command is used to specify material properties and the CONSTANT
is used to assign the material to all members.
DEFINE TIME HISTORY
TYPE 1 FORCE
* FOLLOWING LINES FOR HARMONIC LOADING GENERATOR
FUNCTION SINE
AMPLITUDE 6.2831 FREQUENCY 60 CYCLES 100
*
ARRIVAL TIMES
0.0
DAMPING 0.075
LOAD 1 STATIC LOAD CASE
MEMBER LOAD
5 6 7 8 9 10 11 12 UNI GY -1.0
The above data describe a static load case.
LOAD 2 DYNAMIC LOAD CASE
SELFWEIGHT X 1.0
SELFWEIGHT Y 1.0
SELFWEIGHT Z 1.0
JOINT LOAD
8 12 FX 4.0
8 12 FY 4.0
8 12 FZ 4.0
TIME LOAD
8 12 FX 1 1
Input File
STAAD SPACE EXAMPLE FOR HARMONIC LOADING GENERATOR
UNIT KIP FEET
JOINT COORDINATES
1 0 0 0 ; 2 15 0 0 ; 3 15 0 15 ; 4 0 0 15
5 0 20 0 ; 6 7.5 20 0 ; 7 15 20 0 ; 8 15 20 7.5
9 15 20 15 ; 10 7.5 20 15 ; 11 0 20 15
12 0 20 7.5
MEMBER INCIDENCES
1 1 5 ; 2 2 7 ; 3 3 9 ; 4 4 11 ; 5 5 6 ; 6 6 7
7 7 8 ; 8 8 9 ; 9 9 10 ; 10 10 11 ; 11 11 12 ; 12 12 5
UNIT INCH
MEMBER PROPERTIES
1 TO 12 PRIS YD 12 ZD 12
SUPPORTS
1 TO 4 PINNED
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 3150
POISSON 0.17
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
DEFINE TIME HISTORY
TYPE 1 FORCE
* FOLLOWING LINES FOR HARMONIC LOADING GENERATOR
FUNCTION SINE
AMPLITUDE 6.2831 FREQUENCY 60 CYCLES 100
*
ARRIVAL TIMES
0.0
DAMPING 0.075
LOAD 1 STATIC LOAD CASE
MEMBER LOAD
5 6 7 8 9 10 11 12 UNI GY -1.0
LOAD 2 DYNAMIC LOAD CASE
SELFWEIGHT X 1.0
SELFWEIGHT Y 1.0
SELFWEIGHT Z 1.0
JOINT LOAD
8 12 FX 4.0
8 12 FY 4.0
8 12 FZ 4.0
TIME LOAD
8 12 FX 1 1
PERFORM ANALYSIS
PRINT ANALYSIS RESULTS
FINI
PAGE NO. 1
****************************************************
* *
* STAAD.Pro 2023 *
* Version 23.00.03.** *
* Proprietary Program of *
* Bentley Systems, Inc. *
* Date= JUL 4, 2024 *
* Time= 11:26:49 *
* *
* Licensed to: Bentley Systems Inc *
****************************************************
1. STAAD SPACE EXAMPLE FOR HARMONIC LOADING GENERATOR
INPUT FILE: D:\Documentation\STAAD.Pro\_Automated_Py\output\2024-07-04\SPro_Output_Input_Files\Sample .. .STD
2. UNIT KIP FEET
3. JOINT COORDINATES
4. 1 0 0 0 ; 2 15 0 0 ; 3 15 0 15 ; 4 0 0 15
5. 5 0 20 0 ; 6 7.5 20 0 ; 7 15 20 0 ; 8 15 20 7.5
6. 9 15 20 15 ; 10 7.5 20 15 ; 11 0 20 15
7. 12 0 20 7.5
8. MEMBER INCIDENCES
9. 1 1 5 ; 2 2 7 ; 3 3 9 ; 4 4 11 ; 5 5 6 ; 6 6 7
10. 7 7 8 ; 8 8 9 ; 9 9 10 ; 10 10 11 ; 11 11 12 ; 12 12 5
11. UNIT INCH
12. MEMBER PROPERTIES
13. 1 TO 12 PRIS YD 12 ZD 12
14. SUPPORTS
15. 1 TO 4 PINNED
16. DEFINE MATERIAL START
17. ISOTROPIC CONCRETE
18. E 3150
19. POISSON 0.17
20. DENSITY 8.68E-005
21. ALPHA 5E-006
22. DAMP 0.05
23. G 1346.15
24. TYPE CONCRETE
25. STRENGTH FCU 4
26. END DEFINE MATERIAL
27. CONSTANTS
28. MATERIAL CONCRETE ALL
29. DEFINE TIME HISTORY
30. TYPE 1 FORCE
31. * FOLLOWING LINES FOR HARMONIC LOADING GENERATOR
32. FUNCTION SINE
33. AMPLITUDE 6.2831 FREQUENCY 60 CYCLES 100
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 2
FOR SEQUENTIAL HARMONIC FORCING CURVE NUMBER= 1
NUMBER OF POINTS IN DIGITIZED HARMONIC FUNCTION= 1201
NUMBER OF POINTS PER QUARTER CYCLE OF HARMONIC FUNCTION= 3
FORCE STEP DELTA TIME PER POINT 1.38889E-03
ENDING TIME FOR THIS DIGITIZED HARMONIC FUNCTION 1.66667E+00
34. *
35. ARRIVAL TIMES
36. 0.0
37. DAMPING 0.075
38. LOAD 1 STATIC LOAD CASE
39. MEMBER LOAD
40. 5 6 7 8 9 10 11 12 UNI GY -1.0
41. LOAD 2 DYNAMIC LOAD CASE
42. SELFWEIGHT X 1.0
43. SELFWEIGHT Y 1.0
44. SELFWEIGHT Z 1.0
45. JOINT LOAD
46. 8 12 FX 4.0
47. 8 12 FY 4.0
48. 8 12 FZ 4.0
49. TIME LOAD
50. 8 12 FX 1 1
51. PERFORM ANALYSIS
P R O B L E M S T A T I S T I C S
-----------------------------------
NUMBER OF JOINTS 12 NUMBER OF MEMBERS 12
NUMBER OF PLATES 0 NUMBER OF SOLIDS 0
NUMBER OF SURFACES 0 NUMBER OF SUPPORTS 4
Using 64-bit analysis engine.
SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER
TOTAL PRIMARY LOAD CASES = 2, TOTAL DEGREES OF FREEDOM = 60
TOTAL LOAD COMBINATION CASES = 0 SO FAR.
***NOTE: MASSES DEFINED UNDER LOAD# 2 WILL FORM
THE FINAL MASS MATRIX FOR DYNAMIC ANALYSIS.
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 3
EIGEN METHOD : SUBSPACE
-------------------------
NUMBER OF MODES REQUESTED = 6
NUMBER OF EXISTING MASSES IN THE MODEL = 24
NUMBER OF MODES THAT WILL BE USED = 6
*** EIGENSOLUTION : ADVANCED METHOD ***
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 4
CALCULATED FREQUENCIES FOR LOAD CASE 2
MODE FREQUENCY(CYCLES/SEC) PERIOD(SEC)
1 1.202 0.83191
2 1.204 0.83057
3 1.451 0.68908
4 7.559 0.13229
5 11.073 0.09031
6 11.670 0.08569
MODAL WEIGHT (MODAL MASS TIMES g) IN KIP GENERALIZED
MODE X Y Z WEIGHT
1 2.299868E+01 5.213994E-29 2.154110E-25 2.280506E+01
2 2.148403E-25 9.984362E-31 2.299902E+01 2.293083E+01
3 2.180358E-21 1.626557E-31 2.281548E-21 3.300665E+01
4 1.122613E-24 1.446952E-29 2.732241E-24 2.026121E+01
5 4.006222E-23 5.345261E-06 4.306780E-20 1.127253E+01
6 1.341889E-20 1.076830E+01 1.183963E-23 1.025517E+01
MASS PARTICIPATION FACTORS
MASS PARTICIPATION FACTORS IN PERCENT
--------------------------------------
MODE X Y Z SUMM-X SUMM-Y SUMM-Z
1 100.00 0.00 0.00 99.998 0.000 0.000
2 0.00 0.00 100.00 99.998 0.000 100.000
3 0.00 0.00 0.00 99.998 0.000 100.000
4 0.00 0.00 0.00 99.998 0.000 100.000
5 0.00 0.00 0.00 99.998 0.000 100.000
6 0.00 46.82 0.00 99.998 46.821 100.000
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 5
A C T U A L MODAL D A M P I N G USED IN ANALYSIS
MODE DAMPING
1 0.07500000
2 0.07500000
3 0.07500000
4 0.07500000
5 0.07500000
6 0.07500000
TIME STEP USED IN TIME HISTORY ANALYSIS = 0.00139 SECONDS
NUMBER OF MODES WHOSE CONTRIBUTION IS CONSIDERED = 6
TIME DURATION OF TIME HISTORY ANALYSIS = 1.667 SECONDS
NUMBER OF TIME STEPS IN THE SOLUTION PROCESS = 1200
52. PRINT ANALYSIS RESULTS
BASE SHEAR UNITS ARE -- KIP INCH
MAXIMUM BASE SHEAR X= -2.228746E-01 Y= 1.490116E-08 Z= 2.273737E-13
AT TIMES 0.194444 1.519444 0.072222
ANALYSIS RESULTS
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 6
JOINT DISPLACEMENT (INCH RADIANS) STRUCTURE TYPE = SPACE
------------------
JOINT LOAD X-TRANS Y-TRANS Z-TRANS X-ROTAN Y-ROTAN Z-ROTAN
1 1 0.00000 0.00000 0.00000 -0.01045 0.00000 0.01045
2 0.00000 0.00000 0.00000 0.00000 0.00000 -0.00037
2 1 0.00000 0.00000 0.00000 -0.01045 0.00000 -0.01045
2 0.00000 0.00000 0.00000 -0.00000 0.00000 -0.00037
3 1 0.00000 0.00000 0.00000 0.01045 0.00000 -0.01045
2 0.00000 0.00000 0.00000 0.00000 -0.00000 -0.00037
4 1 0.00000 0.00000 0.00000 0.01045 0.00000 0.01045
2 0.00000 0.00000 0.00000 -0.00000 -0.00000 -0.00037
5 1 0.00118 -0.09524 0.00118 0.02103 0.00000 -0.02103
2 0.06536 0.00008 0.00000 -0.00000 0.00000 -0.00008
6 1 0.00000 -1.56841 0.00118 0.02103 0.00000 0.00000
2 0.06537 0.00000 0.00000 0.00000 -0.00000 0.00004
7 1 -0.00118 -0.09524 0.00118 0.02103 0.00000 0.02103
2 0.06536 -0.00008 -0.00000 0.00000 0.00000 -0.00008
8 1 -0.00118 -1.56841 0.00000 0.00000 0.00000 0.02103
2 0.06587 -0.00008 0.00000 0.00000 0.00000 -0.00008
9 1 -0.00118 -0.09524 -0.00118 -0.02103 0.00000 0.02103
2 0.06536 -0.00008 0.00000 -0.00000 -0.00000 -0.00008
10 1 0.00000 -1.56841 -0.00118 -0.02103 0.00000 0.00000
2 0.06537 0.00000 0.00000 0.00000 0.00000 0.00004
11 1 0.00118 -0.09524 -0.00118 -0.02103 0.00000 -0.02103
2 0.06536 0.00008 -0.00000 0.00000 -0.00000 -0.00008
12 1 0.00118 -1.56841 0.00000 0.00000 0.00000 -0.02103
2 0.06587 0.00008 0.00000 0.00000 0.00000 -0.00008
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 7
SUPPORT REACTIONS -UNIT KIP INCH STRUCTURE TYPE = SPACE
-----------------
JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z
1 1 5.95 180.00 5.95 0.00 0.00 0.00
2 -0.06 -0.15 -0.00 0.00 0.00 0.00
2 1 -5.95 180.00 5.95 0.00 0.00 0.00
2 -0.06 0.15 0.00 0.00 0.00 0.00
3 1 -5.95 180.00 -5.95 0.00 0.00 0.00
2 -0.06 0.15 -0.00 0.00 0.00 0.00
4 1 5.95 180.00 -5.95 0.00 0.00 0.00
2 -0.06 -0.15 0.00 0.00 0.00 0.00
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 8
MEMBER END FORCES STRUCTURE TYPE = SPACE
-----------------
ALL UNITS ARE -- KIP INCH (LOCAL )
MEMBER LOAD JT AXIAL SHEAR-Y SHEAR-Z TORSION MOM-Y MOM-Z
1 1 1 180.00 -5.95 5.95 0.00 0.00 -0.00
5 -180.00 5.95 -5.95 0.00 -1428.10 -1428.10
2 1 -0.15 0.06 -0.00 0.00 0.00 0.00
5 0.15 -0.06 0.00 0.00 0.00 13.37
2 1 2 180.00 5.95 5.95 0.00 0.00 0.00
7 -180.00 -5.95 -5.95 0.00 -1428.10 1428.10
2 2 0.15 0.06 0.00 0.00 0.00 0.00
7 -0.15 -0.06 -0.00 0.00 -0.00 13.37
3 1 3 180.00 5.95 -5.95 0.00 -0.00 0.00
9 -180.00 -5.95 5.95 0.00 1428.10 1428.10
2 3 0.15 0.06 -0.00 0.00 0.00 0.00
9 -0.15 -0.06 0.00 0.00 0.00 13.37
4 1 4 180.00 -5.95 -5.95 0.00 0.00 0.00
11 -180.00 5.95 5.95 0.00 1428.10 -1428.10
2 4 -0.15 0.06 0.00 0.00 0.00 0.00
11 0.15 -0.06 -0.00 0.00 -0.00 13.37
5 1 5 5.95 90.00 -0.00 -0.00 0.00 1428.10
6 -5.95 -0.00 0.00 0.00 -0.00 2621.90
2 5 -0.01 -0.15 -0.01 -0.00 0.84 -13.37
6 0.01 0.15 0.01 0.00 0.00 -0.00
6 1 6 5.95 -0.00 -0.00 0.00 0.00 -2621.90
7 -5.95 90.00 0.00 -0.00 0.00 -1428.10
2 6 0.01 -0.15 -0.01 -0.00 0.00 0.00
7 -0.01 0.15 0.01 0.00 0.84 -13.37
7 1 7 5.95 90.00 0.00 -0.00 -0.00 1428.10
8 -5.95 -0.00 -0.00 0.00 0.00 2621.90
2 7 -0.01 0.00 0.02 0.00 -0.84 0.00
8 0.01 -0.00 -0.02 -0.00 -1.41 0.00
8 1 8 5.95 0.00 0.00 0.00 -0.00 -2621.90
9 -5.95 90.00 -0.00 -0.00 -0.00 -1428.10
2 8 -0.01 -0.00 -0.02 0.00 1.41 -0.00
9 0.01 0.00 0.02 -0.00 0.84 -0.00
9 1 9 5.95 90.00 -0.00 -0.00 0.00 1428.10
10 -5.95 -0.00 0.00 0.00 0.00 2621.90
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 9
MEMBER END FORCES STRUCTURE TYPE = SPACE
-----------------
ALL UNITS ARE -- KIP INCH (LOCAL )
MEMBER LOAD JT AXIAL SHEAR-Y SHEAR-Z TORSION MOM-Y MOM-Z
2 9 0.01 0.15 0.01 0.00 -0.84 13.37
10 -0.01 -0.15 -0.01 -0.00 0.00 -0.00
10 1 10 5.95 0.00 -0.00 0.00 0.00 -2621.90
11 -5.95 90.00 0.00 -0.00 0.00 -1428.10
2 10 -0.01 0.15 0.01 0.00 0.00 0.00
11 0.01 -0.15 -0.01 -0.00 -0.84 13.37
11 1 11 5.95 90.00 0.00 -0.00 -0.00 1428.10
12 -5.95 0.00 -0.00 0.00 0.00 2621.90
2 11 0.01 -0.00 -0.02 0.00 0.84 -0.00
12 -0.01 0.00 0.02 -0.00 1.41 -0.00
12 1 12 5.95 0.00 0.00 0.00 -0.00 -2621.90
5 -5.95 90.00 -0.00 -0.00 -0.00 -1428.10
2 12 0.01 0.00 0.02 0.00 -1.41 0.00
5 -0.01 -0.00 -0.02 -0.00 -0.84 0.00
************** END OF LATEST ANALYSIS RESULT **************
53. FINI
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= JUL 4,2024 TIME= 11:26:50 ****
EXAMPLE FOR HARMONIC LOADING GENERATOR -- PAGE NO. 10
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