V.ASME NF 3000 2004 STYPE 1 Pipe
Verify the design results an austenitic stainless steel pipe section, designed as per ASME NF 3000 2004.
Details
A beam (beam no. 7 in the model) of length 10 ft is loaded with a uniformly distributed load of 1 kip/ft over the whole span, and axial compressive loads of 100 kip at both ends. The beam is assigned with a steel pipe section of PIPS120 and is designed in accordance with ASME NF3000 2004.
The austenitic stainless steel has a yield strength of 36 ksi, an ultimate rupture strength of 58 ksi, and a modulus of elasticity of 29,000 ksi.
Validation
- Fx = 100.145 kip
- Fy = 5 kip (at ends)
- Mz = 97.683 in·k (at mid-span)
- My = 10.798 in·k
(KL/r)z = Slenderness Ratio along Z-Axis = 27.44 =(KL/r)y = Slenderness Ratio along Y-Axis < 200 Hence OK (Refer NF-3322.2(c)(1))
Check Against Axial Compression
As per clause NF 3322.2(d)(2)(c),
OD/tw = 12.75/0.35 = 36.429 < 3,300/Fy = 91.667
Since (KL/r)y = 27.44 = (kl/r)z < 120
As per NF 3322.1(c)(2)(a),
Allowable compressive stress,
Actual compressive stress fa = Fx/Ax = 7.31 ksi
Ratio = 0.497
Check Against Bending
Allowable Stress along Major Axis (Z-Axis):
Since as per clause NF 3322.1(d)(1)(a)(7),
OD/tw = 12.75/0.35 = 36.429 < 3,300/Fy = 91.67
Thus, allowable bending stress is obtained by treating the section as compact.
Fbcz = 0.66×Fy = 23.76 ksi = Fbtz
Allowable Stress along Minor Axis (Y-Axis):
Here also, allowable stress along minor axis is given as Fbty=0.66xFYLD = 23.8 ksi = Fbcy
Actual Bending Stress along Major Axis (Z-Axis):
Mz = 97.683 in·k
Bending Tensile Stress = fbtz = (Mz/Iz)×(OD/2) = 2.38 ksi < 23.8 ksi, Hence OK.
Bending Compressive Stress = fbcz = 2.38 ksi < 23.8 ksi, Hence safe.
Actual Bending Stress along Minor Axis (Y-Axis):
My = 10.798 in·k
Bending Tensile Stress = fbty = (Mz/Iz)×(OD/2) = 0.263 ksi < 23.8 ksi, Hence OK.
Bending Compressive Stress = fbcy = 0.263 ksi < 23.8 ksi , Hence safe.
Check for Combined Axial Compression and Bending
Cmz = Cmy = 1 (as provided in the input)
Now, fa = 7.31 ksi, Fa = 14.7 ksi, fbcz = 2.38 ksi, Fbcz = 23.8 ksi, fbcy = 0.263 ksi, Fbcy = 23.8 ksi
Since fa/ Fa = 7.31 / 14.7 = 0.497 > 0.15
(NF 3322.1(e)(1) ) |
(NF 3322.1(e)(1) ) |
From Eqn. 20:
, Hence safe (critical ratio)
From Eqn. 21:
, Hence safe
Results
Result Type | Reference | STAAD.Pro | Difference | Comments |
---|---|---|---|---|
Slenderness ratio | 27.44 | 27.44 | none | |
Actual compressive stress (ksi) | 7.31 | 7.31 | none | |
Allowable compressive stress (ksi) | 14.7 | 14.7 | none | |
Actual bending stress; major axis (ksi) | 2.38 | 2.38 | none | |
Allowable bending stress, major axis (ksi) | 23.8 | 23.8 | none | |
Actual bending stress, minor axis (ksi) | 0.263 | 0.263 | none | |
Allowable bending stress, minor axis (ksi) | 23.8 | 23.8 | none | |
Combined interaction ratio | 0.613 | 0.613 | none | |
Shear stress, major axis (ksi) | 0.039 | 0.039 | none |
STAAD.Pro Input File
The file C:\Users\Public\Public Documents\STAAD.Pro CONNECT Edition\Samples\ Verification Models\09 Steel Design\US\ASME\ASME NF 3000 2004 STYPE 1 Pipe.STD is typically installed with the program.
STAAD SPACE
START JOB INFORMATION
ENGINEER DATE 20-Mar-19
END JOB INFORMATION
*****************************************************************************
*This problem has been created to validate the program calculated design
*results of ASME NF 3000 2004 pipe section with STYPE 1 parameter
*****************************************************************************
INPUT WIDTH 79
SET SHEAR
UNIT FEET KIP
JOINT COORDINATES
1 0 0 0; 2 0 10 0; 3 10 10 0; 4 10 0 0; 5 0 0 10; 6 0 10 10; 7 10 10 10;
8 10 0 10;
MEMBER INCIDENCES
1 1 2; 2 2 3; 3 3 4; 4 2 6; 5 3 7; 6 5 6; 7 6 7; 8 7 8;
DEFINE MATERIAL START
ISOTROPIC STEEL
E 4.176e+06
POISSON 0.3
DENSITY 0.489024
ALPHA 6.5e-06
DAMP 0.03
TYPE STEEL
STRENGTH RY 1.5 RT 1.2
END DEFINE MATERIAL
MEMBER PROPERTY AMERICAN
1 TO 8 TABLE ST PIPS120
CONSTANTS
MATERIAL STEEL ALL
SUPPORTS
1 4 5 8 FIXED
LOAD 1 LOADTYPE Dead TITLE DL-1
JOINT LOAD
6 FX 100
7 FX -100
LOAD 2 LOADTYPE Dead TITLE DL-2
MEMBER LOAD
2 4 5 7 UNI GY -1
LOAD COMB 3 COMBINATION LOAD CASE 3
1 1.0 2 1.0
PERFORM ANALYSIS
UNIT INCHES KIP
PRINT MEMBER FORCES LIST 7
SECTION 0.25 0.5 0.75
PRINT MEMBER SECTION FORCES LIST 7
PRINT MATERIAL PROPERTIES LIST 7
PRINT MEMBER PROPERTIES LIST 7
LOAD LIST 3
PARAMETER 1
CODE NF3000 2004
STYPE 1 ALL
CMZ 1 ALL
CMY 1 ALL
TRACK 2 ALL
CHECK CODE MEMB 7
FINISH
STAAD.Pro Output
PAGE NO. 1 **************************************************** * * * STAAD.Pro CONNECT Edition * * Version 22.10.00.*** * * Proprietary Program of * * Bentley Systems, Inc. * * Date= MAR 24, 2022 * * Time= 10: 9:42 * * * * Licensed to: Bentley Systems Inc * **************************************************** 1. STAAD SPACE INPUT FILE: ASME NF 3000 2004 STYPE 1 Pipe.STD 2. START JOB INFORMATION 3. ENGINEER DATE 20-MAR-19 4. END JOB INFORMATION 6. ***************************************************************************** 7. *THIS PROBLEM HAS BEEN CREATED TO VALIDATE THE PROGRAM CALCULATED DESIGN 8. *RESULTS OF ASME NF 3000 2004 PIPE SECTION WITH STYPE 1 PARAMETER 9. ***************************************************************************** 11. INPUT WIDTH 79 12. SET SHEAR 13. UNIT FEET KIP 14. JOINT COORDINATES 15. 1 0 0 0; 2 0 10 0; 3 10 10 0; 4 10 0 0; 5 0 0 10; 6 0 10 10; 7 10 10 10 16. 8 10 0 10 17. MEMBER INCIDENCES 18. 1 1 2; 2 2 3; 3 3 4; 4 2 6; 5 3 7; 6 5 6; 7 6 7; 8 7 8 19. DEFINE MATERIAL START 20. ISOTROPIC STEEL 21. E 4.176E+06 22. POISSON 0.3 23. DENSITY 0.489024 24. ALPHA 6.5E-06 25. DAMP 0.03 26. TYPE STEEL 27. STRENGTH RY 1.5 RT 1.2 28. END DEFINE MATERIAL 29. MEMBER PROPERTY AMERICAN 30. 1 TO 8 TABLE ST PIPS120 31. CONSTANTS 32. MATERIAL STEEL ALL 33. SUPPORTS 34. 1 4 5 8 FIXED 35. LOAD 1 LOADTYPE DEAD TITLE DL-1 36. JOINT LOAD 37. 6 FX 100 38. 7 FX -100 39. LOAD 2 LOADTYPE DEAD TITLE DL-2 40. MEMBER LOAD STAAD SPACE -- PAGE NO. 2 41. 2 4 5 7 UNI GY -1. 42. LOAD COMB 3 COMBINATION LOAD CASE 3 43. 1 1.0 2 1.0 44. PERFORM ANALYSIS P R O B L E M S T A T I S T I C S ----------------------------------- NUMBER OF JOINTS 8 NUMBER OF MEMBERS 8 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 = 24 TOTAL LOAD COMBINATION CASES = 1 SO FAR. 45. UNIT INCHES KIP 46. PRINT MEMBER FORCES LIST 7 MEMBER FORCES LIST 7 STAAD SPACE -- PAGE NO. 3 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 7 1 6 99.31 -0.00 -0.00 0.00 10.80 -14.22 7 -99.31 0.00 0.00 -0.00 -10.80 14.22 2 6 0.83 5.00 -0.00 -0.00 0.00 66.53 7 -0.83 5.00 0.00 0.00 0.00 -66.53 3 6 100.14 5.00 -0.00 0.00 10.80 52.32 7 -100.14 5.00 0.00 -0.00 -10.80 -52.32 ************** END OF LATEST ANALYSIS RESULT ************** 47. SECTION 0.25 0.5 0.75 48. PRINT MEMBER SECTION FORCES LIST 7 MEMBER SECTION FORCES LIST STAAD SPACE -- PAGE NO. 4 MEMBER FORCES AT INTERMEDIATE SECTIONS -------------------------------------- ALL UNITS ARE -- KIP INCH MEMB LOAD SEC AXIAL SHEAR-Y SHEAR-Z MOM-X MOM-Y MOM-Z 7 1 0.25 99.31 -0.00 -0.00 0.00 10.80 -14.22 0.50 99.31 -0.00 -0.00 0.00 10.80 -14.22 0.75 99.31 -0.00 -0.00 0.00 10.80 -14.22 2 0.25 0.83 2.50 -0.00 -0.00 0.00 -45.97 0.50 0.83 0.00 -0.00 -0.00 -0.00 -83.47 0.75 0.83 -2.50 -0.00 -0.00 -0.00 -45.97 3 0.25 100.14 2.50 -0.00 0.00 10.80 -60.18 0.50 100.14 -0.00 -0.00 0.00 10.80 -97.68 0.75 100.14 -2.50 -0.00 0.00 10.80 -60.18 ************** END OF LATEST ANALYSIS RESULT ************** 49. PRINT MATERIAL PROPERTIES LIST 7 MATERIAL PROPERTI LIST 7 STAAD SPACE -- PAGE NO. 5 MATERIAL PROPERTIES. -------------------- ALL UNITS ARE - KIP INCH MATERIAL KIND E POIS DENS ALPHA DAMP G STEEL 1D 2.90000E+04 0.300 2.83000E-04 6.50000E-06 0.030 1.11538E+04 STAAD SPACE -- PAGE NO. 6 MATERIAL PROPERTIES. -------------------- ALL UNITS ARE - KIP INCH MEMBER E G DEN ALPHA 7 29000.0 11153.8 0.00028300 0.00000650 ************ END OF DATA FROM INTERNAL STORAGE ************ 50. PRINT MEMBER PROPERTIES LIST 7 MEMBER PROPERTI LIST 7 STAAD SPACE -- PAGE NO. 7 MEMBER PROPERTIES. UNIT - INCH ----------------- MEMB PROFILE AX/ IZ/ IY/ IX/ AY AZ SZ SY 7 ST PIPS120 13.70 262.00 262.00 524.00 7.01 7.01 41.10 41.10 ************ END OF DATA FROM INTERNAL STORAGE ************ 51. LOAD LIST 3 52. PARAMETER 1 53. CODE NF3000 2004 54. STYPE 1 ALL 55. CMZ 1 ALL 56. CMY 1 ALL 57. TRACK 2 ALL 58. CHECK CODE MEMB 7 STEEL DESIGN STAAD SPACE -- PAGE NO. 8 STAAD.PRO CODE CHECKING - ( ASME NF3000-04) v2.0 ******************************************** ALL UNITS ARE - KIP INCH (UNLESS OTHERWISE Noted) MEMBER TABLE RESULT/ CRITICAL COND/ RATIO/ LOADING/ FX MY MZ LOCATION ======================================================================= 7 ST PIPS120 (AISC SECTIONS) PASS NF-EQN-20 0.613 3 100.14 C 10.80 -97.68 60.00 |-----------------------------------------------------------------------------| | SLENDERNESS CHECK: ACTUAL RATIO: 27.44 ALLOWABLE RATIO: 200.00 | | ALLOWABLE STRESSES: (UNIT - KIP INCH) | | AXIAL: 1.47E+01 FCZ: 2.38E+01 FCY: 2.38E+01 FTZ: 2.38E+01 FTY: 2.38E+01 | | SHEAR: 1.44E+01 | | ACTUAL STRESSES: (UNIT - KIP INCH) | | AXIAL: 7.31E+00 FBZ: 2.38E+00 FBY: 2.63E-01 SHEAR: 0.00E+00 | |-----------------------------------------------------------------------------| | SECTION PROPERTIES: (UNIT - INCH) | | AXX: 13.70 AYY: 7.01 AZZ: 7.01 RZZ: 4.37 RYY: 4.37 | | SZZ: 41.10 SYY: 41.10 | |-----------------------------------------------------------------------------| | PARAMETER: (UNIT - KIP INCH) | | KL/R-Z: 27.44 KL/R-Y: 27.44 UNL: 120.0 CMZ: 1.00 CMY: 1.00 | | CB: 1.00 FYLD: 36.00 FU: 58.02 NET SECTION FACTOR: 1.00 | | CT: 0.75 STEEL TYPE: 1.0 KS:1.000 KV:1.000 KBK:1.000 | |-----------------------------------------------------------------------------| | CRITICAL LOADS FOR EACH CLAUSE CHECK (UNITS KIP -INCH) | | CLAUSE RATIO LOAD FX VY VZ MZ MY | | TENSION 0.000 0 0.00E+00 - - - - | | COMPRESSION 0.497 3 1.00E+02 - - - - | | COMP&BEND 0.613 3 1.00E+02 - - 9.77E+01 1.08E+01 | | TEN&BEND 0.000 0 0.00E+00 - - 0.00E+00 0.00E+00 | | SHEAR-Y 0.039 3 - 5.00E+00 - - - | | SHEAR-Z 0.000 0 - - 0.00E+00 - - | |-----------------------------------------------------------------------------| 59. FINISH *********** END OF THE STAAD.Pro RUN *********** **** DATE= MAR 24,2022 TIME= 10: 9:43 **** STAAD SPACE -- PAGE NO. 9 ************************************************************ * For technical assistance on STAAD.Pro, please visit * * http://www.bentley.com/en/support/ * * * * Details about additional assistance from * * Bentley and Partners can be found at program menu * * Help->Technical Support * * * * Copyright (c) Bentley Systems, Inc. * * http://www.bentley.com * ************************************************************