EX. UK-18 Stress Calculation for Plate Elements
This is an example which demonstrates the calculation of principal stresses on a finite element.
This problem is installed with the program by default to C:\Users\Public\Public Documents\STAAD.Pro 2024\Samples \Sample Models\UK\UK-18 Stress Calculation for Plate Elements.STD when you install the program.
Where:
- L = 3 m
Fixed Supports at Joints 1, 2, 3, 4, 5, 9, 13
Load intensity = 2000 Kn/sq.m in - Y direction
UNIT METER KNS
Defines the input units for the data that follows.
JOINT COORDINATES
1 0 0 0 4 9 0 0
REPEAT 3 0 0 3
ELEMENT PROPERTIES
1 TO 9 THICK 0.25
Elements 1 to 9 have a thickness of 0.25 m.
UNIT MMS
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 21.0
POISSON 0.17
DENSITY 2.36158e-008
ALPHA 5e-006
DAMP 0.05
G 9.25
TYPE CONCRETE
STRENGTH FCU 0.0275
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE ALL
UNIT METER
LOAD 1
ELEMENT LOAD
1 TO 9 PRESSURE -2000.0
A uniform pressure of 2000 Kn/sq.m is applied on all the elements. In the absence of an explicit direction specification, the load is assumed to act along the local Z axis. The negative value indicates that the load acts opposite to the positive direction of the local Z.
PERFORM ANALYSIS
The above command instructs the program to proceed with the analysis.
PRINT SUPPORT REACTION
The above command is self-explanatory.
UNIT MMS
PRINT ELEMENT STRESSES LIST 4
Element stresses at the centroid of the element are printed using the above command. The output includes membrane stresses, shear stresses, bending moments per unit width and principal stresses. The change of length unit from meter to mms indicates that the values will be printed in KN and MMs units.
FINISH
The STAAD run is terminated.
Calculation of principal stresses for element 4
Calculations are presented for the top surface only.
Say 1.22 kN/mm2
Say 0.01 kN/ mm2
Input File
STAAD SPACE SAMPLE CALCULATION FOR
* ELEMENT STRESSES
UNIT METER KNS
JOINT COORDINATES
1 0 0 0 4 9 0 0
REPEAT 3 0 0 3
ELEMENT INCIDENCE
1 1 5 6 2 TO 3
REPEAT 2 3 4
ELEMENT PROPERTIES
1 TO 9 THICK 0.25
UNIT MMS
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 21.0
POISSON 0.17
DENSITY 2.36158e-008
ALPHA 5e-006
DAMP 0.05
G 9.25
TYPE CONCRETE
STRENGTH FCU 0.0275
END DEFINE MATERIAL
CONSTANTS
MATERIAL CONCRETE ALL
UNIT METER
SUPPORT
1 TO 4 5 9 13 FIXED
LOAD 1
ELEMENT LOAD
1 TO 9 PRESSURE -2000.0
PERFORM ANALYSIS
PRINT SUPPORT REACTION
UNIT MMS
PRINT ELEMENT STRESSES LIST 4
FINISH
PAGE NO. 1
****************************************************
* *
* STAAD.Pro 2023 *
* Version 23.00.03.** *
* Proprietary Program of *
* Bentley Systems, Inc. *
* Date= JUL 4, 2024 *
* Time= 11:20:16 *
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* Licensed to: Bentley Systems Inc *
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1. STAAD SPACE SAMPLE CALCULATION FOR
INPUT FILE: D:\Documentation\STAAD.Pro\_Automated_Py\output\2024-07-04\SPro_Output_Input_Files\Sample .. .STD
2. * ELEMENT STRESSES
3. UNIT METER KNS
4. JOINT COORDINATES
5. 1 0 0 0 4 9 0 0
6. REPEAT 3 0 0 3
7. ELEMENT INCIDENCE
8. 1 1 5 6 2 TO 3
9. REPEAT 2 3 4
10. ELEMENT PROPERTIES
11. 1 TO 9 THICK 0.25
12. UNIT MMS
13. DEFINE MATERIAL START
14. ISOTROPIC CONCRETE
15. E 21.0
16. POISSON 0.17
17. DENSITY 2.36158E-008
18. ALPHA 5E-006
19. DAMP 0.05
20. G 9.25
21. TYPE CONCRETE
22. STRENGTH FCU 0.0275
23. END DEFINE MATERIAL
24. CONSTANTS
25. MATERIAL CONCRETE ALL
26. UNIT METER
27. SUPPORT
28. 1 TO 4 5 9 13 FIXED
29. LOAD 1
30. ELEMENT LOAD
31. 1 TO 9 PRESSURE -2000.0
32. PERFORM ANALYSIS
SAMPLE CALCULATION FOR -- PAGE NO. 2
* ELEMENT STRESSES
P R O B L E M S T A T I S T I C S
-----------------------------------
NUMBER OF JOINTS 16 NUMBER OF MEMBERS 0
NUMBER OF PLATES 9 NUMBER OF SOLIDS 0
NUMBER OF SURFACES 0 NUMBER OF SUPPORTS 7
Using 64-bit analysis engine.
SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER
TOTAL PRIMARY LOAD CASES = 1, TOTAL DEGREES OF FREEDOM = 54
TOTAL LOAD COMBINATION CASES = 0 SO FAR.
33. PRINT SUPPORT REACTION
SUPPORT REACTION
SAMPLE CALCULATION FOR -- PAGE NO. 3
* ELEMENT STRESSES
SUPPORT REACTIONS -UNIT KNS METE STRUCTURE TYPE = SPACE
-----------------
JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z
1 1 0.00 -1291.48 0.00 -348.06 0.00 348.06
2 1 0.00 8700.82 0.00 -26485.08 0.00 -384.11
3 1 0.00 37742.16 0.00 -87763.47 0.00 3265.14
4 1 0.00 35202.76 0.00 -66094.57 0.00 -23952.47
5 1 0.00 8700.82 0.00 384.11 0.00 26485.08
9 1 0.00 37742.16 0.00 -3265.14 0.00 87763.47
13 1 0.00 35202.76 0.00 23952.47 0.00 66094.57
************** END OF LATEST ANALYSIS RESULT **************
34. UNIT MMS
35. PRINT ELEMENT STRESSES LIST 4
ELEMENT STRESSES LIST 4
SAMPLE CALCULATION FOR -- PAGE NO. 4
* ELEMENT STRESSES
ELEMENT STRESSES FORCE,LENGTH UNITS= KNS MMS
----------------
STRESS = FORCE/UNIT WIDTH/THICK, MOMENT = FORCE-LENGTH/UNIT WIDTH
ELEMENT LOAD SQX SQY MX MY MXY
VONT VONB SX SY SXY
TRESCAT TRESCAB
4 1 0.02 -0.02 2080.05 10634.76 4648.47
1.21 1.21 0.00 0.00 0.00
1.22 1.22
TOP : SMAX= 1.22 SMIN= 0.00 TMAX= 0.61 ANGLE= 66.3
BOTT: SMAX= -0.00 SMIN= -1.22 TMAX= 0.61 ANGLE=-23.7
**** MAXIMUM STRESSES AMONG SELECTED PLATES AND CASES ****
MAXIMUM MINIMUM MAXIMUM MAXIMUM MAXIMUM
PRINCIPAL PRINCIPAL SHEAR VONMISES TRESCA
STRESS STRESS STRESS STRESS STRESS
1.216739E+00 -1.216739E+00 6.064286E-01 1.214803E+00 1.216739E+00
PLATE NO. 4 4 4 4 4
CASE NO. 1 1 1 1 1
********************END OF ELEMENT FORCES********************
36. FINISH
SAMPLE CALCULATION FOR -- PAGE NO. 5
* ELEMENT STRESSES
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= JUL 4,2024 TIME= 11:20:17 ****
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