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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

    ZFP_IND CALCULATION FORMAT C:\Documents and Settings\lbarba.CZFP\Desktop\Design presentation PS-01 KARN OFFSHORE

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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

    Page 1 :\SPro2006\STAAD\Plugins\for SLD and MDM.anl

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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

    Page 2 :\SPro2006\STAAD\Plugins\for SLD and MDM.anl

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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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