EX. US-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\US\US-18 Stress Calculation for Plate Elements.STD when you install the program.
Where:
- L = 1 ft
Fixed Supports at Joints 1, 2, 3, 4, 5, 9, 13
Load intensity = 1 psi (pound/in2) in negative global Y direction
UNIT KIP FEET
Defines the input units for the data that follows.
JOINT COORDINATES
1 0 0 0 4 3 0 0
REPEAT 3 0 0 1
UNIT INCH
ELEMENT PROPERTIES
1 TO 9 THICK 1.0
Elements 1 to 9 have a thickness of 1.0 in.
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 3150
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
UNIT POUND
LOAD 1
ELEMENT LOAD
1 TO 9 PRESSURE -1.0
A uniform pressure of 1 pound/sq. in 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.
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.
FINISH
The STAAD run is terminated.
Calculation of principal stresses for element 4
Calculations are presented for the top surface only.
Input File
STAAD SPACE SAMPLE CALCULATION FOR
* ELEMENT STRESSES
UNIT KIP FEET
JOINT COORDINATES
1 0 0 0 4 3 0 0
REPEAT 3 0 0 1
ELEMENT INCIDENCE
1 1 5 6 2 TO 3
REPEAT 2 3 4
UNIT INCH
ELEMENT PROPERTIES
1 TO 9 THICK 1.0
DEFINE MATERIAL START
ISOTROPIC CONCRETE
E 3150
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 4 5 9 13 FIXED
UNIT POUND
LOAD 1
ELEMENT LOAD
1 TO 9 PRESSURE -1.0
PERFORM ANALYSIS
PRINT SUPPORT REACTION
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= 11:25:54 *
* *
* Licensed to: Bentley Systems Inc *
****************************************************
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 KIP FEET
4. JOINT COORDINATES
5. 1 0 0 0 4 3 0 0
6. REPEAT 3 0 0 1
7. ELEMENT INCIDENCE
8. 1 1 5 6 2 TO 3
9. REPEAT 2 3 4
10. UNIT INCH
11. ELEMENT PROPERTIES
12. 1 TO 9 THICK 1.0
13. DEFINE MATERIAL START
14. ISOTROPIC CONCRETE
15. E 3150
16. POISSON 0.17
17. DENSITY 8.7E-005
18. ALPHA 5E-006
19. DAMP 0.05
20. G 1346.15
21. TYPE CONCRETE
22. STRENGTH FCU 4
23. END DEFINE MATERIAL
24. CONSTANTS
25. MATERIAL CONCRETE ALL
26. SUPPORT
27. 1 TO 4 5 9 13 FIXED
28. UNIT POUND
29. LOAD 1
30. ELEMENT LOAD
31. 1 TO 9 PRESSURE -1.0
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 POUN INCH STRUCTURE TYPE = SPACE
-----------------
JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z
1 1 0.00 -9.76 0.00 -12.51 0.00 12.51
2 1 0.00 70.14 0.00 -853.81 0.00 -16.81
3 1 0.00 301.41 0.00 -2821.43 0.00 95.50
4 1 0.00 281.33 0.00 -2127.22 0.00 -769.10
5 1 0.00 70.14 0.00 16.81 0.00 853.81
9 1 0.00 301.41 0.00 -95.50 0.00 2821.43
13 1 0.00 281.33 0.00 769.10 0.00 2127.22
************** END OF LATEST ANALYSIS RESULT **************
34. PRINT ELEMENT STRESSES LIST 4
ELEMENT STRESSES LIST 4
SAMPLE CALCULATION FOR -- PAGE NO. 4
* ELEMENT STRESSES
ELEMENT STRESSES FORCE,LENGTH UNITS= POUN 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
4 1 10.43 -9.94 16.90 85.81 36.43
605.39 605.39 0.00 0.00 0.00
608.99 608.99
TOP : SMAX= 608.99 SMIN= 7.25 TMAX= 300.87 ANGLE= 66.7
BOTT: SMAX= -7.25 SMIN= -608.99 TMAX= 300.87 ANGLE=-23.3
**** MAXIMUM STRESSES AMONG SELECTED PLATES AND CASES ****
MAXIMUM MINIMUM MAXIMUM MAXIMUM MAXIMUM
PRINCIPAL PRINCIPAL SHEAR VONMISES TRESCA
STRESS STRESS STRESS STRESS STRESS
6.089873E+02 -6.089873E+02 3.008683E+02 6.053945E+02 6.089873E+02
PLATE NO. 4 4 4 4 4
CASE NO. 1 1 1 1 1
********************END OF ELEMENT FORCES********************
35. FINISH
SAMPLE CALCULATION FOR -- PAGE NO. 5
* ELEMENT STRESSES
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= JUL 4,2024 TIME= 11:25:55 ****
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