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8/7/2019 pice - recall and revisit concepts for design
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4. ANALYSIS AND DESIGN
4.1 Trial Section (Analysis of Compression Members)
A trial section of structural steel W 10 x 49 shall be checked for adequacy from the actual loading
conditions. Below is a tabulation of the section properties of W 10 x 49 (Fy = 344.75 Mpa).
The section shall be used as uniform section compression member.
units designation timesWeight kg/m Wb 73.10 -
Cross- Sectional Area mm2 A 9.29 10^3
Depth mm d 253.50 -
Web thickness mm tw 8.60 -
Flange Width mm bf 254.30 -
Flange Thickness mm tf 14.20 -
Moment of Inertia - x mm4 Ix 113.22 10^6
Section Modulus - x mm3 Sx 893.2 10^3
Radius of Gyration - x mm rx 110.39 -
Moment of Inertia - y mm4 Iy 38.88 10^6
Section Modulus - y mm3 Sy 306.10 10^3
radius of Gyration - y mm ry 64.69 -
4.2 Investigation of Section Capacity
4.2.1 AISC Specifications for Axially Loaded Columns
4.2.1.1 Short and Long Columns
When KL/r min < Cc = [(2*3.1416^2*200*10^3)/344.75] 1/2 SHORT
When KL/r min > Cc = [(2*3.1416^2*200*10^3)/344.75] 1/2 LONG
Cc = 107.0
4.2.1.2 Axial Load Capacity of Short ColumnsFa = Fy/F.S.*[1 - 0.5*(KL/r*1/Cc)^2]
F.S. = 5/3 + 3/8*(KL/r*1/Cc) - 1/8*(KL/r*1/Cc) 3
4.2.1.3 Axial Load Capacity of Long Columns
Fa = 12*3.1416^2*200*10^3/[23*(KL/r)^2]
4.2.2 AISC Specifications for Columns Under Axial Plus Bending Stresses
4.2.2.1 When fa/Fa < 0.15
Use
fa/Fa + fb/Fb < 1.0
PROJECT TITLE:
Karan Saudi Arabia
DESIGNED: CHECKED: APPROVED: SHEET NO: DATE:
16 of 31 1-Mar-08LSB
CALCULATION SHEET
PIPE T- SUPPORTS AND FOUNDATIONS BI NO:
36" SCRAPER RECEIVER, Q55-D-001, TPKG-1 TRUNKLINEBI-10-00580
ZFP_IND CALCULATION FORMAT C:\Documents and Settings\lbarba.CZFP\Desktop\Design presentation PS-01 KARN OFFSHORE
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4.2.2.2 When fa/Fa > 0.15
Use where
fa/Fa + Cmfb < 1.0 Cm
(1 - fa/F'e)Fb = 0.85 for members with end restraint
= 1.0 for members without end restraints
F'e = 1.03 x 10^6 = 0.6 - 0.4(M1/M2)
(KLb/rb)^2M1 = smaller end moment
M2 = larger end moment
fa = actual axial stress
Fa = allowable axial stress
fb = actual bending stress
Fb = allowable bending stress
Lb = Length about axis of bending
rb = radius of gyration about axis
of bending
4.2.3 AISC Specifications for Beams
4.2.3.1 Flexural Requirements
Compact, Non-Compact and Laterally Unsupported Sections
bf/(2tf) < 170/(Fy^0.5)
d/tw < 1680/(Fy^0.5)
L1 = 200*bf/(Fy^0.5)
L2 = 137,900/(Fy*d*1/Af)
Lc is the smaller between L1 and L2, Lu otherwise.
When Lb < Lc COMPACT Fb = 0.66Fy
When Lc < Lb < Lu NON - COMPACT Fb = 0.6Fy
When Lb > Lu LATERALLY UNSUPPORTED
4.3.3.2 Shear Requirements
Fv = 0.4Fy
4.3.2.3 Deflection Requirements
All. Deflection = L/240
PROJECT TITLE:
Karan Saudi Arabia
DESIGNED: CHECKED: APPROVED: SHEET NO: DATE:
17 of 31
CALCULATION SHEET
PIPE T- SUPPORTS AND FOUNDATIONS BI NO:
LSB 1-Mar-08
36" SCRAPER RECEIVER, Q55-D-001, TPKG-1 TRUNKLINEBI-10-00580
ZFP_IND CALCULATION FORMAT C:\Documents and Settings\lbarba.CZFP\Desktop\Design presentation PS-01 KARN OFFSHORE
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4.3 Determination of Axial Load + Bending Capacities
Member 3, which is considered to be a column under axial plus bending stresses, will be
investigated for adequacy.
4.3.1 Bending Stress Capacity (refer to page 16 for section properties)
Check for compactness
bf/2tf 8.94
d/tw 29.5
200bf/(Fy^1/2) 3224 mm
137900/(Fyd/Af) 7904 mm
Lc = 3224 mm
Lu = 7904 mm
Lb = 1200 mm (Type 2) Lb < Lc
Therefore, the Support can be considered compact.Fb is 0.66Fy = 228 Mpa.
4.3.2 Axial Stress Capacities at Length of 1.2 m
4.3.2.1 At a length equal to 1.2 m
Length 1200
KL/r 9.28 (k = 0.5)
KL/r 0.09
Cc
F.S. 1.7
Fa 202 Mpa
Pipe Support Configuration
2 3 4
1 2
3 1.2 m
4
1.5 m
PROJECT TITLE:
Karan Saudi Arabia
DESIGNED: CHECKED: APPROVED: SHEET NO: DATE:
18 of 31
CALCULATION SHEET
LSB 1-Mar-08
BI NO:
36" SCRAPER RECEIVER, Q55-D-001, TPKG-1 TRUNKLINEBI-10-00580
Compact
PIPE T- SUPPORTS AND FOUNDATIONS
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4.4 Determination of Actual Stresses (Refer to STAAD Output)
The maximum axial force on member 3 is 1,201 KN
P = 1,201 = 129 Mpa
A 9290
4.4.1 Determination of Adequacy; Actual Vs. Allowable values
fa = 129 = 0.64
Fa 202
0.64 < 1.0
The section is adequate.
150
120
ELEVATION
NTS
PIPE SUPPORT ELEVATION
NOTE:
ALL DIMENSIONS ARE IN CENTIMETERS
ZFP_IND CALCULATION FORMAT C:\Documents and Settings\lbarba.CZFP\Desktop\Design presentation PS-01 KARN OFFSHORE
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Joint A
Member AB BA BC CB CD CE EC
K 6 6 5 5 6 5 5
D.F. 0 6/11 5/11 5/16 3/8 5/16 5/11
F.E.M. 0 0 -26 2/3 26 2/3 0 -26 2/3 26 2/3
1st Dist. 0 14 5/9 12 1/8 0 0 0 -12 1/8C.O. 7 2/7 0 0 6 0 -6 0
2nd Dist. 0 0 0 0 0 0 0
sum 7.27 14.55 -14.55 32.73 0.00 -32.73 14.55
7.27 14.55 -14.55 32.73 0.00 -32.73 14.55
MAB MBA MBC MCB MCD MCE MEC
-22 -5 0 26 2/3
-5 -32 -5 0
0 -5 -22 -26 2/3
B 2I 1 5/22 0 -1 7/33 K = 5
0 -30 19/22 -5 -6 2/33
0 -5 -22 -26 2/3 3I
K = 6
1 0 - 1/27 -1 19/74
0 1 6/37 11/56
0 0 -21 15/79 -25 63/92
A
1 0 0 -1 7/33
0 1 0 0
0 0 1 1 7/33
MAB MBA MBC MCB MCD MCE MEC
7 3/11 14 6/11 -14 6/11 32 8/11 0 -32 8/11 14 6/11
B C
4 m
5m
5m
20 K
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Tuesday, February 12, 2008, 01:0
PAGE NO. 1
****************************************************
* *
* STAAD.Pro *
* Version 2006 Bld 1002.US *
* Proprietary Program of *
* Research Engineers, Intl. *
* Date= FEB 12, 2008 *
* Time= 13: 3:56 ** *
* USER ID: Clough Zuhair Fayez Partnership *
****************************************************
1. STAAD SPACE
NPUT FILE: for SLD and MDM.STD
2. START JOB INFORMATION
3. ENGINEER DATE 11-FEB-08
4. ENGINEER NAME LSB
5. END JOB INFORMATION
6. INPUT WIDTH 79
7. UNIT METER KN
8. JOINT COORDINATES
9. 1 0 5.00001 0; 2 4.00001 5.00001 0; 3 8.00002 5.00001 0; 4 0 0 0
10. 5 4.00001 0 0; 6 8.00002 0 0
11. MEMBER INCIDENCES
12. 1 1 2; 2 2 3; 3 1 4; 4 2 5; 5 3 6
13. DEFINE MATERIAL START
14. ISOTROPIC STEEL
15. E 1.99947E+008
16. POISSON 0.3
17. DENSITY 76.8191
18. ALPHA 6.5E-006
19. DAMP 0.03
20. END DEFINE MATERIAL
21. MEMBER PROPERTY AMERICAN
22. 1 2 TABLE ST WB8X1023. 3 TO 5 TABLE ST W8X15
24. CONSTANTS
25. MATERIAL STEEL ALL
26. SUPPORTS
27. 4 TO 6 FIXED
28. LOAD 1 LOADTYPE NONE TITLE LOAD CASE 1 LIVE LOADS
29. MEMBER LOAD
30. 1 2 UNI GY -20
31. PERFORM ANALYSIS PRINT ALL
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 2
P R O B L E M S T A T I S T I C S
-----------------------------------
NUMBER OF JOINTS/MEMBER+ELEMENTS/SUPPORTS = 6/ 5/ 3
ORIGINAL/FINAL BAND-WIDTH= 3/ 3/ 12 DOF
TOTAL PRIMARY LOAD CASES = 1, TOTAL DEGREES OF FREEDOM = 18
SIZE OF STIFFNESS MATRIX = 1 DOUBLE KILO-WORDSREQRD/AVAIL. DISK SPACE = 12.0/ 26582.0 MB
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 3
LOADING 1 LOADTYPE NONE TITLE LOAD CASE 1 LIVE LOADS
-----------
MEMBER LOAD - UNIT KN METE
MEMBER UDL L1 L2 CON L LIN1 LIN2
1 -20.0000 GY 0.00 4.00
2 -20.0000 GY 0.00 4.00
OR LOADING - 1
PPLIED JOINT EQUIVALENT LOADS
JOINT FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM-Z
1 0.00000E+00-4.00001E+01 0.00000E+00 0.00000E+00 0.00000E+00-2.66668E+01
2 0.00000E+00-8.00002E+01 0.00000E+00 0.00000E+00 0.00000E+00-1.72401E-06
3 0.00000E+00-4.00001E+01 0.00000E+00 0.00000E+00 0.00000E+00 2.66668E+01
STATIC LOAD/REACTION/EQUILIBRIUM SUMMARY FOR CASE NO. 1
LOADTYPE NONE TITLE LOAD CASE 1 LIVE LOADS
***TOTAL APPLIED LOAD ( KN METE ) SUMMARY (LOADING 1 )
SUMMATION FORCE-X = 0.00
SUMMATION FORCE-Y = -160.00
SUMMATION FORCE-Z = 0.00
SUMMATION OF MOMENTS AROUND THE ORIGIN-
MX= 0.00 MY= 0.00 MZ= -640.00
***TOTAL REACTION LOAD( KN METE ) SUMMARY (LOADING 1 )
SUMMATION FORCE-X = 0.00
SUMMATION FORCE-Y = 160.00
SUMMATION FORCE-Z = 0.00
SUMMATION OF MOMENTS AROUND THE ORIGIN-
MX= 0.00 MY= 0.00 MZ= 640.00
MAXIMUM DISPLACEMENTS ( CM /RADIANS) (LOADING 1)
MAXIMUMS AT NODE
X = 4.58480E-03 1
Y = -7.74356E-02 2
Z = 0.00000E+00 0
RX= 0.00000E+00 0
RY= 0.00000E+00 0
RZ= -4.71917E-03 1
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 4
EXTERNAL AND INTERNAL JOINT LOAD SUMMARY ( KN METE )-
JT EXT FX/ EXT FY/ EXT FZ/ EXT MX/ EXT MY/ EXT MZ/
INT FX INT FY INT FZ INT MX INT MY INT MZ
SUPPORT=1
4 0.00 0.00 0.00 0.00 0.00 0.00
-4.42 -35.65 0.00 0.00 0.00 7.28 111111
5 0.00 0.00 0.00 0.00 0.00 0.00
0.00 -88.70 0.00 0.00 0.00 0.00 111111
6 0.00 0.00 0.00 0.00 0.00 0.00
4.42 -35.65 0.00 0.00 0.00 -7.28 111111
************ END OF DATA FROM INTERNAL STORAGE ************
32. PRINT MEMBER FORCES ALL
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 5
MEMBER END FORCES STRUCTURE TYPE = SPACE
-----------------
ALL UNITS ARE -- KN METE (LOCAL )
MEMBER LOAD JT AXIAL SHEAR-Y SHEAR-Z TORSION MOM-Y MOM-Z
1 1 1 4.42 35.65 0.00 0.00 0.00 14.82
2 -4.42 44.35 0.00 0.00 0.00 -32.23
2 1 2 4.42 44.35 0.00 0.00 0.00 32.23
3 -4.42 35.65 0.00 0.00 0.00 -14.82
3 1 1 35.65 -4.42 0.00 0.00 0.00 -14.82
4 -35.65 4.42 0.00 0.00 0.00 -7.28
4 1 2 88.70 0.00 0.00 0.00 0.00 0.00
5 -88.70 0.00 0.00 0.00 0.00 0.00
5 1 3 35.65 4.42 0.00 0.00 0.00 14.82
6 -35.65 -4.42 0.00 0.00 0.00 7.28
************** END OF LATEST ANALYSIS RESULT **************
33. PRINT SUPPORT REACTION ALL
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 6
SUPPORT REACTIONS -UNIT KN METE STRUCTURE TYPE = SPACE
-----------------
JOINT LOAD FORCE-X FORCE-Y FORCE-Z MOM-X MOM-Y MOM Z
4 1 4.42 35.65 0.00 0.00 0.00 -7.285 1 0.00 88.70 0.00 0.00 0.00 0.00
6 1 -4.42 35.65 0.00 0.00 0.00 7.28
************** END OF LATEST ANALYSIS RESULT **************
34. FINISH
*********** END OF THE STAAD.Pro RUN ***********
**** DATE= FEB 12,2008 TIME= 13: 3:56 ****
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 7
************************************************************
* For questions on STAAD.Pro, please contact *
* Research Engineers Offices at the following locations *
* *
* Telephone Email *
* USA: +1 (714)974-2500 [email protected] *
* CANADA +1 (905)632-4771 [email protected] *
* CANADA +1 (604)629 6087 [email protected] *
* UK +44(1454)207-000 [email protected] *
* FRANCE +33(0)1 64551084 [email protected] ** GERMANY +49/931/40468-71 [email protected] *
* NORWAY +47 67 57 21 30 [email protected] *
* SINGAPORE +65 6225-6015/16 [email protected] *
* INDIA +91(033)2357-3575 [email protected] *
* JAPAN +81(03)5952-6500 [email protected] *
* CHINA +86(411)363-1983 [email protected] *
* THAILAND +66(0)2645-1018/19 [email protected] *
* *
* North America [email protected] *
* Europe [email protected] *
* Asia [email protected] *
************************************************************
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Tuesday, February 12, 2008, 01:0
STAAD SPACE -- PAGE NO. 8
nformation about the key files in the current distribution
odification Date CRC Size (Bytes) File Name
----------------------------------------------------------------------------------------
7/18/2006 0x3881 13000704 SProStaad.exe
7/17/2006 0x100 05738496 SProStaadStl.exe
9/19/2003 0x2fc0 00081970 CMesh.dll
5/30/2006 0x3c0 02486272 dbSectionInterface.dll
1/23/2001 0x9b40 00073728 LoadGen.dll
9/25/2003 0x6340 00704512 MeshEngine.dll9/22/2003 0xce00 00069632 QuadPlateEngine.dll
2/22/2005 0x4181 00094208 SurfMesh.dll
1/03/2006 0x81c1 00493568 aiscsections.mdb
6/13/2006 0xd4c1 01204224 AISCSectionsRCeco.mdb
1/05/2005 0x79c1 00319488 aiscsections_all_editions.mdb
1/05/2005 0x4b81 01810432 aiscsteeljoists.mdb
1/05/2005 0xcac1 03651584 aitctimbersections.mdb
1/27/2005 0xeb01 00552960 aluminumsections.mdb
1/05/2005 0xcd01 00163840 australiansections.mdb
1/05/2005 0x6a41 00229376 britishsections.mdb
7/08/2005 0x9d41 00434176 bscoldformedsections.mdb
6/28/2005 0x8201 00327680 butlercoldformedsections.mdb
1/05/2005 0xabc0 00262144 canadiansections.mdb
5/31/2005 0x9e81 00450560 canadiantimbersections.mdb
6/09/2006 0x1f81 00774144 ChineseSections.mdb
1/05/2005 0xd6c0 00600064 dutchsections.mdb
1/05/2005 0x1a00 00354304 europeansections.mdb
1/05/2005 0xd301 00202752 frenchsections.mdb
1/05/2005 0x11c1 00233472 germansections.mdb
1/05/2005 0x3c40 00264192 indiansections.mdb
1/05/2005 0xd540 00180224 iscoldformedsections.mdb
3/23/2006 0xa080 00200704 japanesesections.mdb
1/08/2005 0x9081 00376832 Kingspancoldformedsections.mdb
1/05/2005 0xb740 00174080 koreansections.mdb
2/03/2005 0xda00 00096256 lysaghtcoldformedsections.mdb
2/07/2005 0x9a00 00243712 mexicansteeltables.mdb
6/13/2006 0x3501 00421888 RCecoColdFormedSections.mdb
2/03/2005 0x9b40 00307200 russiansections.mdb
1/05/2005 0x9081 00206848 southafricansections.mdb1/06/2005 0x9341 00194560 spanishsections.mdb
1/04/2006 0x8680 00223232 uscoldformedsections.mdb
1/05/2005 0xbac0 00149504 usersectionstemplate.mdb
1/19/2006 0x8e40 00159744 venezuelansections.mdb
----------------------------------------------------------------------------------------
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