Report Vibration Analysis For_support Agitator v-410

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  • Page 1

    Table of Contents A. Vibration Analysis Lug Support Of Tank When Agirator Operating:

    Internal pressure when tank have the agitator operating..3

    Title page ...................................................................................................................................... 3

    Input echo : .....................................................................................................................................

    Xy coordinate calculations : ......................................................................................................... 18

    App. Ee half-pipe jacket calc. : .................................................................................................... 19

    Internal pressure calculations : .................................................................................................... 22

    External pressure calculations : .................................................................................................. 26

    Element and detail weights : ....................................................................................................... 29

    Nozzle flange mawp : .................................................................................................................. 33

    Sup. Lug calcs: ope : ................................................................................................................... 34

    B. Vibration Analysis Support Of Agirator When Agirator Operating:

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    I. VIBRATION ANALYSIS LUG SUPPORT OF TANK WHEN AGIRATOR OPERATING

    In Accordance with ASME Section VIII Division 1

    ASME Code Version : 2010 Edition, 2011a Addenda

    Analysis Performed by :

    Job File : C:\DOCUMENTS AND SETTINGS\WELCOME\DESKTOP\NEW FO

    Date of Analysis : Mar 18,2013

    PV Elite 2012, January 2012

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    Note: PV Elite performs all calculations internally in Imperial Units

    to remain compliant with the ASME Code and any built in assumptions

    in the ASME Code formulas. The customary Imperial database is

    used for consistency. The finalized results are reflected to show

    the users set of selected units.

    INTERNAL PRESSURE WHEN TANK HAVE THE AGITATOR OPERATING:

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    PTANK = PFULLWATER + PMIXER

    WHERE : - PFULLWATER: PRESSURE WHEN TANK TOBE FULL OF WATER

    - PMIXER: THIS IS PRESSURE WHEN AGITAOR OPERATING.

    WHEN AGITATOR OPERATING, IT WILL HAVE FUILD FORCES ACTING ON THE AGITATOR:

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    FTorque = MT/RE*NB = 0.127/1.2*3= 0.035 KN (Refer Mixer Mechanical Design- Fluid Forces by Ronald J.Weetman

    WHERE: - MT : Torque (KN.M)

    - RE: Radius effective (m)

    - Nb : Number blades of agitator.

    Fbending = NF**V2*D4 = 4*897*4.872*0.454= 35 (KN) (Refer Mixer Mechanical Design- Fluid Forces by Ronald

    J.Weetman

    WHERE:

    - NF: Power numbers

    - : density of the gluid (kg/m3)

    - V: the impeller speed (m/s)

    - D: The impeller diameter (m)

    FTB = FBENDING + FTORQUE = 0.035+35 = 35.004 (KN)

    FAXIAL = DYNAMIC LOAD = 6 (KN)

    FTOTAL= Sqrt(F2AXIAL + F

    2TB ) = Sqrt(35.004

    2 + 6

    2) = 35.5 (KN)

    PMIXER = Ftotal/A = 35.5/12 = 3 kN/m2 = 0.03(Bar) ( A; The area on which apply forces.)

    Conclusion : Total the internal design pressure when tanks have the agitator operating.

    Internal design pressure PTank = 1.03 (bar)

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    V Elite Vessel Analysis Program: Input Data

    Design Internal Pressure (for Hydrotest) 1.0300 bars

    Design Internal Temperature 180 C

    Type of Hydrotest not Specified

    Hydrotest Position Horizontal

    Projection of Nozzle from Vessel Top 0.0000 mm.

    Projection of Nozzle from Vessel Bottom 0.0000 mm.

    Minimum Design Metal Temperature -29 C

    Type of Construction Welded

    Special Service None

    Degree of Radiography RT 1

    Miscellaneous Weight Percent 0.0

    Use Higher Longitudinal Stresses (Flag) Y

    Select t for Internal Pressure (Flag) N

    Select t for External Pressure (Flag) N

    Select t for Axial Stress (Flag) N

    Select Location for Stiff. Rings (Flag) N

    Consider Vortex Shedding N

    Perform a Corroded Hydrotest N

    Is this a Heat Exchanger No

    User Defined Hydro. Press. (Used if > 0) 0.0000 bars

    User defined MAWP 0.0000 bars

    User defined MAPnc 0.0000 bars

    Load Case 1 NP+EW+WI+FW+BW

    Load Case 2 NP+EW+EE+FS+BS

    Load Case 3 NP+OW+WI+FW+BW

    Load Case 4 NP+OW+EQ+FS+BS

    Load Case 5 NP+HW+HI

    Load Case 6 NP+HW+HE

    Load Case 7 IP+OW+WI+FW+BW

    Load Case 8 IP+OW+EQ+FS+BS

    Load Case 9 EP+OW+WI+FW+BW

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    Load Case 10 EP+OW+EQ+FS+BS

    Load Case 11 HP+HW+HI

    Load Case 12 HP+HW+HE

    Load Case 13 IP+WE+EW

    Load Case 14 IP+WF+CW

    Load Case 15 IP+VO+OW

    Load Case 16 IP+VE+EW

    Load Case 17 NP+VO+OW

    Load Case 18 FS+BS+IP+OW

    Load Case 19 FS+BS+EP+OW

    Wind Design Code No Wind Loads

    Seismic Design Code UBC 94

    UBC Seismic Zone (1=1,2=2a,3=2b,4=3,5=4) 0.000

    UBC Importance Factor 1.000

    UBC Soil Type S1

    UBC Horizontal Force Factor 3.000

    UBC Percent Seismic for Hydrotest 0.000

    Design Nozzle for Des. Press. + St. Head Y

    Consider MAP New and Cold in Noz. Design N

    Consider External Loads for Nozzle Des. Y

    Use ASME VIII-1 Appendix 1-9 N

    Material Database Year Current w/Addenda or Code Year

    Configuration Directives:

    Do not use Nozzle MDMT Interpretation VIII-1 01-37 No

    Use Table G instead of exact equation for "A" Yes

    Shell Head Joints are Tapered Yes

    Compute "K" in corroded condition Yes

    Use Code Case 2286 No

    Use the MAWP to compute the MDMT Yes

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    Using Metric Material Databases, ASME II D No

    Complete Listing of Vessel Elements and Details:

    Element From Node 10

    Element To Node 20

    Element Type Flat

    Description

    Distance "FROM" to "TO" 8.0000 mm.

    Inside Diameter 250.00 mm.

    Element Thickness 8.0000 mm.

    Internal Corrosion Allowance 0.0000 mm.

    Nominal Thickness 0.0000 mm.

    External Corrosion Allowance 0.0000 mm.

    Design Internal Pressure 1.0300 bars

    Design Temperature Internal Pressure 180 C

    Design External Pressure 0.0000 bars

    Design Temperature External Pressure 42 C

    Effective Diameter Multiplier 1.2

    Material Name SA-240 304

    Allowable Stress, Ambient 137.90 N./mm

    Allowable Stress, Operating 98.794 N./mm

    Allowable Stress, Hydrotest 179.27 N./mm

    Material Density 0.008027 kg./cm

    P Number Thickness 0.0000 mm.

    Yield Stress, Operating 147.89 N./mm

    External Pressure Chart Name HA-1

    UNS Number S30400

    Product Form Plate

    Efficiency, Longitudinal Seam 1.0

    Efficiency, Circumferential Seam 1.0

    Flat Head Attachment Factor 0.30000001

    Small diameter if Non-Circular 0.0000 mm.

    Element From Node 10

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    Detail Type Nozzle

    Detail ID N5

    Dist. from "FROM" Node / Offset dist 0.0000 mm.

    Nozzle Diameter 4.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 0.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    --------------------------------------------------------------------

    Element From Node 20

    Element To Node 30

    Element Type Conical

    Description

    Distance "FROM" to "TO" 804.00 mm.

    Inside Diameter 250.00 mm.

    Element Thickness 8.0000 mm.

    Internal Corrosion Allowance 0.0000 mm.

    Nominal Thickness 0.0000 mm.

    External Corrosion Allowance 0.0000 mm.

    Design Internal Pressure 1.0300 bars

    Design Temperature Internal Pressure 180 C

    Design External Pressure 0.0000 bars

    Design Temperature External Pressure 42 C

    Effective Diameter Multiplier 1.2

    Material Name SA-240 304

    Efficiency, Longitudinal Seam 1.0

    Efficiency, Circumferential Seam 1.0

    Cone Diameter at "To" End 2400.0 mm.

    Design Length of Cone 804.00 mm.

    Large knuckle radius 250.00 mm.

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    Large knuckle thickness 8.0000 mm.

    Small knuckle radius 0.0000 mm.

    Small knuckle thickness 0.0000 mm.

    Half Apex Angle of Cone 58.272583

    Toriconical (Y/N) Y

    Element From Node 20

    Detail Type Liquid

    Detail ID WATER

    Dist. from "FROM" Node / Offset dist 0.0000 mm.

    Height/Length of Liquid 804.00 mm.

    Liquid Density 0.0009984 kg./cm

    Element From Node 20

    Detail Type Nozzle

    Detail ID N8A

    Dist. from "FROM" Node / Offset dist 100.00 mm.

    Nozzle Diameter 1.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 0.0

    Blind Flange (Y/N) N

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 20

    Detail Type Nozzle

    Detail ID N8B

    Dist. from "FROM" Node / Offset dist 400.00 mm.

    Nozzle Diameter 1.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 0.0

    Blind Flange (Y/N) Y

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    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 20

    Detail Type Nozzle

    Detail ID N7C

    Dist. from "FROM" Node / Offset dist 200.00 mm.

    Nozzle Diameter 1.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 180.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 20

    Detail Type Nozzle

    Detail ID N7B

    Dist. from "FROM" Node / Offset dist 500.00 mm.

    Nozzle Diameter 1.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 180.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    --------------------------------------------------------------------

    Element From Node 30

    Element To Node 40

    Element Type Cylinder

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    Description

    Distance "FROM" to "TO" 2800.0 mm.

    Inside Diameter 2400.0 mm.

    Element Thickness 6.0000 mm.

    Internal Corrosion Allowance 0.0000 mm.

    Nominal Thickness 0.0000 mm.

    External Corrosion Allowance 0.0000 mm.

    Design Internal Pressure 1.0300 bars

    Design Temperature Internal Pressure 180 C

    Design External Pressure 0.0000 bars

    Design Temperature External Pressure 42 C

    Effective Diameter Multiplier 1.2

    Material Name SA-240 304

    Efficiency, Longitudinal Seam 1.0

    Efficiency, Circumferential Seam 1.0

    Element From Node 30

    Detail Type Liquid

    Detail ID WATER

    Dist. from "FROM" Node / Offset dist 0.0000 mm.

    Height/Length of Liquid 2100.0 mm.

    Liquid Density 0.0009984 kg./cm

    Element From Node 30

    Detail Type Half-Pipe

    Jacket Description HALF PIPE

    Distance from "From" Node 200.00 mm.

    Pitch Spacing 120.00 mm.

    Jacket Design Pressure 9.8000 bars

    Jacket Design Temperature 85.0 C

    Jacket Thickness 1.5110 mm.

    Jacket Nominal Diameter 76.200 mm.

    Formed Radius (If specified) 0.0000 mm.

    Length along surface 1890.0 mm.

    Specific Gravity of Contents 0.0

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    Jacket Material Specification SA-312 TP304

    Element From Node 30

    Detail Type Nozzle

    Detail ID N2

    Dist. from "FROM" Node / Offset dist 100.00 mm.

    Nozzle Diameter 1.5 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 180.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 30

    Detail Type Nozzle

    Detail ID N7A

    Dist. from "FROM" Node / Offset dist 2100.0 mm.

    Nozzle Diameter 1.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

    Layout Angle 180.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 30

    Detail Type Nozzle

    Detail ID N8C

    Dist. from "FROM" Node / Offset dist 100.00 mm.

    Nozzle Diameter 1.0 in.

    Nozzle Schedule 40

    Nozzle Class 150

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    Layout Angle 0.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 30

    Detail Type Lug

    Detail ID SUPPORT LUGS

    Dist. from "FROM" Node / Offset dist 2200.0 mm.

    Number of Lugs 4

    Dist. from OD to Lug Cntrline(dlug) 250.00 mm.

    Height of Gusset Plates (hgp) 500.00 mm.

    Force Bearing Width (wfb) 200.00 mm.

    Weight of Lug 30.000 Kgf

    Lug Start Angle (degrees) 45.0

    --------------------------------------------------------------------

    Element From Node 40

    Element To Node 50

    Element Type Flat

    Description

    Distance "FROM" to "TO" 8.000 mm.

    Inside Diameter 2400.0 mm.

    Element Thickness 8.000 mm.

    Internal Corrosion Allowance 0.0000 mm.

    Nominal Thickness 0.0000 mm.

    External Corrosion Allowance 0.0000 mm.

    Design Internal Pressure 1.0300 bars

    Design Temperature Internal Pressure 180 C

    Design External Pressure 0.0000 bars

    Design Temperature External Pressure 42 C

    Effective Diameter Multiplier 1.2

    Material Name SA-240 304

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    Efficiency, Longitudinal Seam 1.0

    Efficiency, Circumferential Seam 1.0

    Flat Head Attachment Factor 0.2

    Small diameter if Non-Circular 0.0000 mm.

    Element From Node 40

    Detail Type Nozzle

    Detail ID N4

    Dist. from "FROM" Node / Offset dist 0.0000 mm.

    Nozzle Diameter 3.0 in.

    Nozzle Schedule 160

    Nozzle Class 150

    Layout Angle 0.0

    Blind Flange (Y/N) N

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 40

    Detail Type Nozzle

    Detail ID M1

    Dist. from "FROM" Node / Offset dist 650.00 mm.

    Nozzle Diameter 22.0 in.

    Nozzle Schedule 120

    Nozzle Class 150

    Layout Angle 0.0

    Blind Flange (Y/N) N

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-240 304

    Element From Node 40

    Detail Type Nozzle

    Detail ID N3

    Dist. from "FROM" Node / Offset dist 800.00 mm.

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    Nozzle Diameter 2.0 in.

    Nozzle Schedule 160

    Nozzle Class 150

    Layout Angle 90.0

    Blind Flange (Y/N) N

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 40

    Detail Type Nozzle

    Detail ID N6

    Dist. from "FROM" Node / Offset dist 800.00 mm.

    Nozzle Diameter 4.0 in.

    Nozzle Schedule 160

    Nozzle Class 150

    Layout Angle 130.0

    Blind Flange (Y/N) N

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 40

    Detail Type Nozzle

    Detail ID N10

    Dist. from "FROM" Node / Offset dist 700.00 mm.

    Nozzle Diameter 4.0 in.

    Nozzle Schedule 160

    Nozzle Class 150

    Layout Angle 200.0

    Blind Flange (Y/N) N

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

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    Element From Node 40

    Detail Type Nozzle

    Detail ID N9

    Dist. from "FROM" Node / Offset dist 500.00 mm.

    Nozzle Diameter 3.0 in.

    Nozzle Schedule 160

    Nozzle Class 150

    Layout Angle 270.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    Element From Node 40

    Detail Type Nozzle

    Detail ID N1

    Dist. from "FROM" Node / Offset dist 800.00 mm.

    Nozzle Diameter 2.0 in.

    Nozzle Schedule 160

    Nozzle Class 150

    Layout Angle 270.0

    Blind Flange (Y/N) Y

    Weight of Nozzle ( Used if > 0 ) 0.0000 Kgf

    Grade of Attached Flange GR 2.1

    Nozzle Matl SA-312 TP304

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

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    XY Coordinate Calculations

    | | | | | |

    From| To | X (Horiz.)| Y (Vert.) |DX (Horiz.)| DY (Vert.) |

    | | mm. | mm. | mm. | mm. |

    --------------------------------------------------------------

    10| 20| ... | 8.00000 | ... | 8.00000 |

    20| 30| ... | 812.000 | ... | 804.000 |

    30| 40| ... | 3612.00 | ... | 2800.00 |

    40| 50| ... | 3647.00 | ... | 8.0000 |

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

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    Half-Pipe Jacket Analysis Input Data :

    Shell Inside Diameter DIN 2400.0000 mm.

    Shell Thickness TS 6.0000 mm.

    Shell Internal Design Pressure P 1.24 bars

    Design Temperature for Internal Pressure 180.00 C

    Shell Section Material SA-240 304

    Shell Allowable Stress, Design Temp S 98.79 N./mm

    Shell Allowable Stress, Ambient SA 137.90 N./mm

    Shell Corrosion Allowance CA 0.0000 mm.

    Shell Outer Corrosion Allowance ExtCA 0.000 mm.

    Shell Joint Efficiency E 1.00

    Nominal Pipe Size of Half-Pipe Jacket NPS 76.2000 mm.

    Jacket Minimum Thickness TJCK 1.5110 mm.

    Jacket Design Pressure P1 9.800 bars

    Jacket Design Temperature 85 C

    Jacket Material Name SA-312 TP304

    Jacket Allowable Stress, Design Temp S1 137.90 N./mm

    Jacket Allowable Stress, Ambient S1A 137.90 N./mm

    Jacket Corrosion Allowance CAJ 0.0000 mm.

    Core External Pressure ExtPCore 0.000 bars

    Half-Pipe Jacket Results per ASME Appendix EE, 2010 Ed., 2011a

    Shell Thickness Calculations:

    Required Thickness of Shell per UG-27 Eqn(1) (Includes CA) [Tr]:

    = ( P * R ) / ( S * E - 0.6 * P ) + ( Ca + ExtCA )

    = (1.24 *1200.000 )/(98.79 *1.00 - 0.6 *1.24 ) + 0.000

    = 1.5023 mm.

    Req. Thk. of Shell to Withstand Jacket Pressure (Includes CA) [Trj]:

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    = 5.1594 mm.

    Pressure Calculations for Input Shell Thickness:

    Input Value of Shell Thickness [Ts]:

    = 6.0000 mm.

    Chart Used to Find the K-Factor:

    FIG. EE - 2

    K-Factor Read from Chart [K]:

    = 101.6693

    Longitudinal Stress in Shell due to Internal Pressure [SPrime]:

    = ( P * R ) / ( 2 * Ts )

    = ( 1.2358 * 1200.0000 )/( 2 * 6.0000 )

    = 12.3591 N./mm

    Permissible Jacket Pressure per Appendix EE-1, Equation (1) [Pprime]:

    = ( 1.5 * S - Sprime ) / K

    = ( 1.5 * 98.79 - 12.3591 )/101.67

    = 13.3594 bars

    Half-Pipe Jacket Thickness Calculations:

    Input Half-Pipe Jacket Thickness [Tj]:

    = 1.5110 mm.

    Req'd Half-Pipe Jacket Thickness per App. EE-1, Eqn. (2) (Includes CA) [T]:

    = ( P1 * R ) / ( 0.85 * S1 - 0.6 * P1 ) + CAJ

    = ( 9.8000 * 42.9390 )/( 0.85 * 137.90 - 0.6 * 9.8000 ) + 0.0000

    = 0.3608 mm.

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    Minimum Fillet Weld Size Calculations:

    Minimum Fillet Weld Size (Based on Jacket Thickness) [Fillet]:

    = Tj / .875 * 1.414

    = 1.5110/.875 * 1.414

    = 2.4418 mm.

    Note: For Cyclic service a full penetration groove weld should be used.

    Summary of Results:

    Input Thickness of Shell 6.0000 mm.

    Req.d Thickness of Shell due to Internal P. 1.5023 mm.

    Req.d Thickness of Shell due to Jacket P. 5.1594 mm.

    Pressure Used for Jacket Design 9.8000 bars

    M.A.W.P. of Jacket for Input Thickness 13.3594 bars

    M.A.W.P. of Jacket for Required Thickness 9.9487 bars

    Input Thickness of Half-Pipe Jacket 1.5110 mm.

    Required Thickness of Half-Pipe Jacket 0.3608 mm.

    Minimum Acceptable Fillet Weld Size 2.4418 mm.

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

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    Element Thickness, Pressure, Diameter and Allowable Stress :

    | | Int. Press | Nominal | Total Corr| Element | Allowable |

    From| To | + Liq. Hd | Thickness | Allowance | Diameter | Stress(SE)|

    | | bars | mm. | mm. | mm. | N./mm |

    ---------------------------------------------------------------------------

    10| 20| 1.3147 | ... | ... | 250.00 | 98.794 |

    20| 30| 1.3147 | ... | ... | 2162.9 | 98.794 |

    30| 40| 1.2358 | ... | ... | 2400.0 | 98.794 |

    40| 50| 1.0300 | ... | ... | 2400.0 | 98.794 |

    Element Required Thickness and MAWP :

    | | Design | M.A.W.P. | M.A.P. | Minimum | Required |

    From| To | Pressure | Corroded | New & Cold | Thickness | Thickness |

    | | bars | bars | bars | mm. | mm. |

    ----------------------------------------------------------------------------

    10| 20| 1.03000 | 3.08732 | 4.70671 | 8.00000 | 4.99521 |

    20| 30| 1.03000 | 3.60733 | 5.35165 | 8.00000 | 2.61807 |

    30| 40| 1.03000 | 4.71879 | 6.87398 | 6.00000 | 5.15937 |

    40| 50| 1.03000 | 1.05048 | 1.46630 | 8.0000 | 6.6571 |

    Minimum 1.050 1.466

    MAWP: 1.050 bars, limited by: Flat Head.

    Internal Pressure Calculation Results :

    ASME Code, Section VIII, Division 1, 2010, 2011a

    Welded Flat Head From 10 To 20 SA-240 304 at 180 C

    Material UNS Number: S30400

    Required Thickness due to Internal Pressure [tr]:

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    = d * sqrt(Z*C*P/(S*E)) per UG-34 (c)(3)

    = 250.0000*sqrt(1.00*0.30*1.315/(98.79*1.00))

    = 4.9952 + 0.0000 = 4.9952 mm.

    Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:

    Less Operating Hydrostatic Head Pressure of 0.285 bars

    = (t/d)*((S*E)/(C*Z)) UG-34 (c)(3)

    = (8.0000/250.0000))*((98.79*1.00)/(0.30*1.00))

    = 3.372 - 0.285 = 3.087 bars

    Maximum Allowable Pressure, New and Cold [MAPNC]:

    = (t/d)*((S*E)/(C*Z)) per UG-34 (c) (3)

    = (8.0000/250.0000)*((137.90*1.00)/(0.30*1.00))

    = 4.707 bars

    Actual stress at given pressure and thickness, corroded [Sact]:

    = (Z*C*P)/(((t/d))*E)

    = (1.00*0.30*1.315)/(((8.0000/250.0000))*1.00)

    = 38.517 N./mm

    Conical Section From 20 To 30 SA-240 304 at 180 C

    Material UNS Number: S30400

    Required Thickness due to Internal Pressure [tr]:

    = (P*D)/(2*cos(a)*(S*E-0.6*P)) per Appendix 1-4 (e)

    = (1.257*2162.9392)/(2*0.5259*(98.79*1.00-0.6*1.257))

    = 2.6181 + 0.0000 = 2.6181 mm.

    Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:

    Less Operating Hydrostatic Head Pressure of 0.227 bars

    = (2*S*E*t*cos(a))/(D+1.2*t*cos(a)) per App 1-4(e)

    = (2*98.79*1.00*8.000*0.526)/(2162.939+1.2*8.000*0.526)

    = 3.834 - 0.227 = 3.607 bars

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    Maximum Allowable Pressure, New and Cold [MAPNC]:

    = (2*S*E*t*cos(a))/(D+1.2*t*cos(a)) per App 1-4(e)

    = (2*137.90*1.00*8.0000*0.5259)/(2162.9392+1.2*8.0000*0.5259)

    = 5.352 bars

    Actual stress at given pressure and thickness, corroded [Sact]:

    = (P*(D+1.2*t*cos(a)))/(2*E*t*cos(a))

    = (1.257*(2162.9392+1.2*8.0000*0.5259))/(2*1.00*8.0000*0.5259)

    = 32.382 N./mm

    Percent Elongation per UHA-44 (50*tnom/Rf)*(1-Rf/Ro) 3.016 %

    Note: Please Check Requirements of Table UHA-44 for Elongation limits.

    Note: The Pressure at the Large Diameter is used in the TR calculation.

    Cylindrical Shell From 30 To 40 SA-240 304 at 180 C

    Material UNS Number: S30400

    Required Thickness due to Internal Pressure [tr]:

    = (P*R)/(S*E-0.6*P) per UG-27 (c)(1)

    = (1.236*1200.0000)/(98.79*1.00-0.6*1.236)

    = 1.5023 + 0.0000 = 1.5023 mm.

    Note: The required thickness and MAWP of this section were governed

    by internal pressure in the jacket.

    Percent Elongation per UHA-44 (50*tnom/Rf)*(1-Rf/Ro) 0.249 %

    Note: Please Check Requirements of Table UHA-44 for Elongation limits.

    Welded Flat Head From 40 To 50 SA-240 304 at 180 C

    Material UNS Number: S30400

    Required Thickness due to Internal Pressure [tr]:

  • BENDLING VESSEL V-410

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    Page 25

    = d * sqrt(Z*C*P/(S*E)) per UG-34 (c)(3)

    = 2400.0000*sqrt(1.00*0.20*1.030/(98.79*1.00))

    = 34.6571 + 0.0000 = 34.6571 mm.

    Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:

    = (t/d)*((S*E)/(C*Z)) UG-34 (c)(3)

    = (8.0000/2400.0000))*((98.79*1.00)/(0.20*1.00))

    = 1.050 bars

    Maximum Allowable Pressure, New and Cold [MAPNC]:

    = (t/d)*((S*E)/(C*Z)) per UG-34 (c) (3)

    = (8.0000/2400.0000)*((137.90*1.00)/(0.20*1.00))

    = 1.466 bars

    Actual stress at given pressure and thickness, corroded [Sact]:

    = (Z*C*P)/(((t/d))*E)

    = (1.00*0.20*1.030)/(((8.0000/2400.0000))*1.00)

    = 96.868 N./mm

    Elements Suitable for Internal Pressure.

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

  • BENDLING VESSEL V-410

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    External Pressure Calculation Results :

    ASME Code, Section VIII, Division 1, 2010, 2011a

    Welded Flat Head

    Note: This element's required thickness was computed in the internal

    Pressure Report using the maximum of the Internal and External

    pressures.

    Cone From 20 to 30 Ext. Chart: HA-1 at 42 C

    Elastic Modulus from Chart: HA-1 at 42 C : 0.193E+09 KPa.

    Results for Maximum Allowable External Pressure (MAEP):

    Tca OD SLEN D/t L/D Factor A B

    4.207 2171.35 517.74 516.13 0.2384 0.0005101 48.62

    EMAP = (4*B)/(3*(D/t)) = (4*48.6209 )/(3*516.1251 ) = 1.2560 bars

    Note: The cone thickness used in the calculation has been modified

    per UG-33(f), te = t * cos(alpha).

    Cylindrical Shell From 30 to 40 Ext. Chart: HA-1 at 42 C

    Elastic Modulus from Chart: HA-1 at 42 C : 0.193E+09 KPa.

    Results for Maximum Allowable External Pressure (MAEP):

    Tca OD SLEN D/t L/D Factor A B

    6.000 2412.00 2800.00 402.00 1.1609 0.0001406 13.54

    EMAP = (4*B)/(3*(D/t)) = (4*13.5435 )/(3*402.0000 ) = 0.4492 bars

    Results for Maximum Stiffened Length (Slen):

    Tca OD SLEN D/t L/D Factor A B

    6.000 2412.00 2800.00 402.00 1.1609 0.0001406 13.54

  • BENDLING VESSEL V-410

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    EMAP = (4*B)/(3*(D/t)) = (4*13.5435 )/(3*402.0000 ) = 0.4492 bars

    Welded Flat Head

    Note: This element's required thickness was computed in the internal

    Pressure Report using the maximum of the Internal and External

    pressures.

    External Pressure Calculations

    | | Section | Outside | Corroded | Factor | Factor |

    From| To | Length | Diameter | Thickness | A | B |

    | | mm. | mm. | mm. | | N./mm |

    ---------------------------------------------------------------------------

    10| 20| No Calc | ... | 8.00000 | No Calc | No Calc |

    20| 30| 517.738 | 2171.35 | 8.00000 | 0.00051009 | 48.6209 |

    30| 40| 2800.00 | 2412.00 | 6.00000 | 0.00014057 | 13.5435 |

    40| 50| No Calc | ... | 8.0000 | No Calc | No Calc |

    External Pressure Calculations

    | | External | External | External | External |

    From| To | Actual T. | Required T.|Des. Press. | M.A.W.P. |

    | | mm. | mm. | bars | bars |

    ----------------------------------------------------------------

    10| 20| 8.00000 | No Calc | ... | No Calc |

    20| 30| 8.00000 | No Calc | ... | 1.25598 |

    30| 40| 6.00000 | No Calc | ... | 0.44918 |

    40| 50| 8.0000 | No Calc | ... | No Calc |

    Minimum 0.449

    External Pressure Calculations

    | | Actual Len.| Allow. Len.| Ring Inertia | Ring Inertia |

    From| To | Bet. Stiff.| Bet. Stiff.| Required | Available |

  • BENDLING VESSEL V-410

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    | | mm. | mm. | cm**4 | cm**4 |

    -------------------------------------------------------------------

    10| 20| No Calc | No Calc | No Calc | No Calc |

    20| 30| 517.738 | 517.738 | No Calc | No Calc |

    30| 40| 2800.00 | No Calc | No Calc | No Calc |

    40| 50| No Calc | No Calc | No Calc | No Calc |

    Elements Suitable for External Pressure.

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

  • BENDLING VESSEL V-410

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    Element and Detail Weights

    | | Element | Element | Corroded | Corroded | Extra due |

    From| To | Metal Wgt. | ID Volume |Metal Wgt. | ID Volume | Misc % |

    | | kg. | Cm. | kg. | Cm. | kg. |

    ---------------------------------------------------------------------------

    10| 20| 3.15232 | ... | 3.15232 | ... | ... |

    20| 30| 387.118 | 1.716E+06 | 387.118 | 1.716E+06 | ... |

    30| 40| 1019.36 | 12.67E+06 | 1019.36 | 12.67E+06 | ... |

    40| 50| 1271.01 | ... | 1271.01 | ... | ... |

    ---------------------------------------------------------------------------

    Total 2680 14385472.00 2680 14385472.00 0

    Weight of Details

    | | Weight of | X Offset, | Y Offset, |

    From|Type| Detail | Dtl. Cent. |Dtl. Cent. | Description

    | | kg. | mm. | mm. |

    -------------------------------------------------

    10|Nozl| 17.6434 | ... | ... | N5

    20|Liqd| 1715.25 | ... | 402.000 | WATER

    20|Nozl| 1.36505 | 1213.32 | 100.000 | N8A

    20|Nozl| 2.41008 | 1213.32 | 400.000 | N8B

    20|Nozl| 2.41008 | 1213.32 | 200.000 | N7C

    20|Nozl| 2.41008 | 1213.32 | 500.000 | N7B

    30|Liqd| 9496.08 | ... | 1050.00 | WATER

    30|HlfP| 202.001 | ... | 1145.00 | HALF PIPE

    30|Nozl| 4.45728 | 1220.45 | 100.000 | N2

    30|Nozl| 2.41008 | 1213.32 | 2100.00 | N7A

    30|Nozl| 2.41008 | 1213.32 | 100.000 | N8C

    30|Lugs| 120.000 | ... | 2450.00 | SUPPORT LUGS

    40|Nozl| 9.68630 | ... | ... | N4

    40|Nozl| 249.552 | ... | 7800.00 | M1

    40|Nozl| 5.38184 | ... | 9600.00 | N3

  • BENDLING VESSEL V-410

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    40|Nozl| 13.2209 | ... | 9600.00 | N6

    40|Nozl| 13.2209 | ... | 8400.00 | N10

    40|Nozl| 15.1490 | ... | 6000.00 | N9

    40|Nozl| 7.60643 | ... | 9600.00 | N1

    Total Weight of Each Detail Type

    Total Weight of Liquid 11211.3

    Total Weight of Nozzles 349.3

    Total Weight of Lugs 120.0

    Total Weight of Half-Pipe Jackets 202.0

    ---------------------------------------------------------------

    Sum of the Detail Weights 11882.7 kg.

    Weight Summation

    Fabricated Shop Test Shipping Erected Empty Operating

    ------------------------------------------------------------------------------

    2680.6 3352.0 2680.6 3352.0 2680.6 3352.0

    ... 14376.7 ... ... ... 11211.3

    349.3 ... 349.3 ... ... ...

    120.0 ... 120.0 ... ... ...

    ... ... ... ... ... ...

    ... ... ... ... ... ...

    202.0 ... 202.0 ... 349.3 ...

    ... ... ... ... 120.0 ...

    ... ... ... ... 202.0 ...

    ------------------------------------------------------------------------------

    3352.0 17728.7 3352.0 3352.0 3352.0 14563.3 kg.

    Note: The shipping total has been modified because some items have

    been specified as being installed in the shop.

  • BENDLING VESSEL V-410

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    Weight Summary

    Fabricated Wt. - Bare Weight W/O Removable Internals 3352.0 kg.

    Shop Test Wt. - Fabricated Weight + Water ( Full ) 17728.7 kg.

    Shipping Wt. - Fab. Wt + Rem. Intls.+ Shipping App. 3352.0 kg.

    Erected Wt. - Fab. Wt + Rem. Intls.+ Insul. (etc) 3352.0 kg.

    Ope. Wt. no Liq - Fab. Wt + Intls. + Details + Wghts. 3352.0 kg.

    Operating Wt. - Empty Wt + Operating Liq. Uncorroded 14563.3 kg.

    Field Test Wt. - Empty Weight + Water (Full) 17728.7 kg.

    Mass of the Upper 1/3 of the Vertical Vessel 4240.9 kg.

    Outside Surface Areas of Elements

    | | Surface |

    From| To | Area |

    | | cm |

    ----------------------------

    10| 20| ... |

    20| 30| 43558.3 |

    30| 40| 212171. |

    40| 50| ... |

    ----------------------------

    Total 255728.906 cm

    Element and Detail Weights

    | To | Total Ele.| Total. Ele.|Total. Ele.| Total Dtl.| Oper. Wgt. |

    From| To | Empty Wgt.| Oper. Wgt.|Hydro. Wgt.| Offset Mom.| No Liquid |

    | | kg. | kg. | kg. | Kg-m. | kg. |

    ---------------------------------------------------------------------------

    10| 20| 20.7957 | 20.7957 | 20.7957 | ... | 20.7957 |

    20| 30| 395.713 | 2110.97 | 395.713 | 10.4291 | 395.713 |

    30|Lugs| 966.929 | 8428.13 | 966.929 | 8.86953 | 966.929 |

    Lugs| 40| 263.708 | 2298.58 | 263.708 | 2.41896 | 263.708 |

    40| 50| 1584.83 | 1584.83 | 1584.83 | ... | 1584.83 |

  • BENDLING VESSEL V-410

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    Cumulative Vessel Weight

    | | Cumulative Ope | Cumulative | Cumulative |

    From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. |

    | | kg. | kg. | kg. |

    -------------------------------------------------------

    10| 20| ... | ... | ... |

    20| 30| -20.7957 | -20.7957 | -20.7957 |

    30|Lugs| -416.509 | -2131.76 | -416.509 |

    Lugs| 40| 1848.54 | 3883.41 | 1848.54 |

    40| 50| 1584.83 | 1584.83 | 1584.83 |

    Note: The cumulative operating weights no liquid in the column above

    are the cumulative operating weights minus the operating liquid

    weight minus any weights absent in the empty condition.

    Cumulative Vessel Moment

    | | Cumulative | Cumulative |Cumulative |

    From| To | Empty Mom. | Oper. Mom. |Hydro. Mom.|

    | | Kg-m. | Kg-m. | Kg-m. |

    -------------------------------------------------

    10| 20| ... | ... | ... |

    20| 30| 10.4291 | 10.4291 | 10.4291 |

    30|Lugs| 19.2986 | 19.2986 | 19.2986 |

    Lugs| 40| 2.41896 | 2.41896 | 2.41896 |

    40| 50| ... | ... | ... |

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

  • BENDLING VESSEL V-410

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    Nozzle Flange MAWP Results :

    Nozzle ----- Flange Rating

    Description Operating Ambient Temperature Class Grade|Group

    bars bars C

    ----------------------------------------------------------------------------

    N5 13.6 19.0 180 150 GR 2.1

    N8A 13.6 19.0 180 150 GR 2.1

    N8B 13.6 19.0 180 150 GR 2.1

    N7C 13.6 19.0 180 150 GR 2.1

    N7B 13.6 19.0 180 150 GR 2.1

    N2 13.6 19.0 180 150 GR 2.1

    N7A 13.6 19.0 180 150 GR 2.1

    N8C 13.6 19.0 180 150 GR 2.1

    N4 13.6 19.0 180 150 GR 2.1

    M1 13.6 19.0 180 150 GR 2.1

    N3 13.6 19.0 180 150 GR 2.1

    N6 13.6 19.0 180 150 GR 2.1

    N10 13.6 19.0 180 150 GR 2.1

    N9 13.6 19.0 180 150 GR 2.1

    N1 13.6 19.0 180 150 GR 2.1

    ----------------------------------------------------------------------------

    Minimum Rating 13.6 19.0 bars

    Note: ANSI Ratings are per ANSI/ASME B16.5 2009 Metric Edition

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

  • BENDLING VESSEL V-410

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    Support Lug Calculations: Operating Case

    INPUT ECHO OF SUPPORT LUG INPUT

    Type of Geometry : Gussets with Top Plate

    Number of Support Lugs Nlug 4

    Distance from Vessel OD to Lug Contact Point Dlug 250.0000 mm.

    Lug Support Force Bearing Width Wfb 200.0000 mm.

    Lug Material SA-240 304

    Lug Yield Stress 147.89 N./mm

    Radial Width of bottom Support Lug Plate Wpl 300.0000 mm.

    Effective Force Bearing Length Lpl 400.0000 mm.

    Thickness of bottom Support Lug Plate Tpl 25.0000 mm.

    Distance between Gussets Dgp 340.0000 mm.

    Mean Width of Gusset Plate Wgp 150.0000 mm.

    Height of Gusset Plate Hgp 500.0000 mm.

    Thickness of Gusset Plate Tgp 16.0000 mm.

    Radial Width of Top Bar Plate Wtp 80.0000 mm.

    Thickness of Top Plate Ttp 25.0000 mm.

    Pad Width along Circumference C11P 480.000 mm.

    Pad Length along Vessel Axis C22P 600.000 mm.

    Pad Thickness Tpad 8.000 mm.

    Bolt Material SA-193 B7

    Bolt Allowable Stress at Design Temperature 172.38 N./mm

    Thread Series TEMA

    Bolt Diameter 34.92 mm.

    Results for Support Lugs: Description: SUPPORT LUGS

    Overturning Moment at Support Lug 0. Kg-m.

    Weight Load at the top of one Lug 3611. Kgf

  • BENDLING VESSEL V-410

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    Force on one Lug, Operating Condition [Flug]:

    = ( W/Nlug + Mlug/( Rlug * Nlug/2 ) )

    = ( 14443/4 + 0/( 1456.00 * 4/2 ))

    = 3610.83 Kgf

    Top Bar Plate Stress per Bednar p.154 [Stpl]:

    = 0.75*( Flug*Dlug*Lpl )/( Ttp*Wtp*Hgp )

    = 0.75*( 3610 *250.000 *400.000 )/( 25.0000 *80.000*500.000 )

    = 33.20 N./mm

    Required Thickness of Top Plate 8.4180 mm.

    Bearing Area [Ba]:

    = Lpl * Wfb

    = 400.000 * 200.000

    = 800.00 cm

    Bending Stress in bottom Plate (Unif. Load) Per Bednar p.156 [Spl2]:

    = Beta1 * Flug/Ba * Wfb / Tpl per Roark & Young 5th Ed.

    = 1.199 * 3610.8/800.000 * 200.000/25.000

    = 33.97 N./mm

    Bottom Plate Required Thickness (Uniform Load) 14.6749 mm.

    Bottom Plate Required Thickness based on ADM S 3/4 [trAD]:

    = 0.71 * Dgp * (( Flug / ( Lpl * Wfb ))/Spa )

    = 0.71*340.00*((3610/(400.00*200.00))/98.592)

    = 16.175 mm.

    Note: If using the AD Code recommendations, the force bearing width (Wfb) must

    be greater than or equal to 1/3 of the bottom plate radial width (Wpl)

    plus the pad thickness (Padthk), if there is a pad.

    Bottom Support Plate Allowable Stress [Spa]:

    = 2/3 * Ylug

  • BENDLING VESSEL V-410

    36

    Page 36

    = 2/3 * 147

    = 98.59 N./mm

    Gusset Plate Axial Stress ( Force / Gusset Plate Area ) [Sgp]:

    = ( Flug/2 )/( Wgp * Tgp )

    = ( 3610/2 )/( 150.000 *16.0000 )

    = 7.38 N./mm

    Required Thickness of Gussets per AISC 7.9302 mm.

    Gusset Plate Allowable Stress [Sga]:

    = ( 1-(Klr)/(2*Cc))*Fy /( 5/3+3*(Klr)/(8*Cc)-(Klr)/(8*Cc)

    = ( 1-( 125.00 )/(2 * 156.65 )) * 147/

    ( 5/3+3*(125.00 )/(8* 156.65 )-( 125.00)/(8*156.65)

    = 52.99 N./mm

    Maximum Compressive Gusset Plate Stress per Bednar [SgpB]:

    = Flug*( 3*Dlug-Wpl )/( Tgp* Wpl * (Sin(Alph_G)) )

    = 3610 *( 3*250.000 -300.000 )/( 16.0000 *300.000*(Sin(59.04 )) )

    = 15.05 N./mm

    Gusset Plate Allowable Compressive Stress [SgaB]:

    = 18000/(1+(1/18000)*( Hgp/Sin(Alph_G)/(0.289*Tgp)) )

    = 18000/(1+(1/18000)* (500.000/Sin(59.04 )/(0.289*16.0000 )) )

    = 65.90 N./mm

    Note :

    There was no uplift. Please choose an appropriate bolt

    size for this support design.

    Input Echo, WRC107 Item 1, Description: SUPPORT LUGS

    Diameter Basis for Vessel Vbasis ID

    Cylindrical or Spherical Vessel Cylsph Cylindrical

    Internal Corrosion Allowance Cas 0.0000 mm.

  • BENDLING VESSEL V-410

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    Page 37

    Vessel Diameter Dv 2400.000 mm.

    Vessel Thickness Tv 6.000 mm.

    Design Temperature 180.00 C

    Attachment Type Type Rectangular

    Parameter C11 C11 340.00 mm.

    Parameter C22 C22 500.00 mm.

    Thickness of Reinforcing Pad Tpad 8.000 mm.

    Pad Parameter C11P C11p 480.000 mm.

    Pad Parameter C22P C22p 600.000 mm.

    Design Internal Pressure Dp 1.030 bars

    Include Pressure Thrust No

    Vessel Centerline Direction Cosine Vx 0.000

    Vessel Centerline Direction Cosine Vy 1.000

    Vessel Centerline Direction Cosine Vz 0.000

    Nozzle Centerline Direction Cosine Nx 1.000

    Nozzle Centerline Direction Cosine Ny 0.000

    Nozzle Centerline Direction Cosine Nz 0.000

    Global Force (SUS) Fx 0.0 Kgf

    Global Force (SUS) Fy 3610.8 Kgf

    Global Force (SUS) Fz 0.0 Kgf

    Global Moment (SUS) Mx 0.0 Kg-m.

    Global Moment (SUS) My 0.0 Kg-m.

    Global Moment (SUS) Mz 902.7 Kg-m.

    Internal Pressure (SUS) P 1.03 bars

    Include Pressure Thrust No

    Use Interactive Control No

  • BENDLING VESSEL V-410

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    WRC107 Version Version March 1979

    Include Pressure Stress Indices per Div. 2 No

    Compute Pressure Stress per WRC-368 No

    WRC 107 Stress Calculation for SUStained loads:

    Radial Load P 0.0 Kgf

    Circumferential Shear VC 0.0 Kgf

    Longitudinal Shear VL 3610.8 Kgf

    Circumferential Moment MC 0.0 Kg-m.

    Longitudinal Moment ML -902.7 Kg-m.

    Torsional Moment MT 0.0 Kg-m.

    Dimensionless Parameters used : Gamma = 86.21

    Dimensionless Loads for Cylindrical Shells at Attachment Junction:

    -------------------------------------------------------------------

    Curves read for 1979 Beta Figure Value Location

    -------------------------------------------------------------------

    N(PHI) / ( P/Rm ) 0.206 4C 9.725 (A,B)

    N(PHI) / ( P/Rm ) 0.206 3C 4.666 (C,D)

    M(PHI) / ( P ) 0.162 2C1 0.029 (A,B)

    M(PHI) / ( P ) 0.162 1C ! 0.067 (C,D)

    N(PHI) / ( MC/(Rm**2 * Beta) ) 0.160 3A 3.359 (A,B,C,D)

    M(PHI) / ( MC/(Rm * Beta) ) 0.170 1A 0.066 (A,B,C,D)

    N(PHI) / ( ML/(Rm**2 * Beta) ) 0.182 3B 7.356 (A,B,C,D)

    M(PHI) / ( ML/(Rm * Beta) ) 0.175 1B 0.017 (A,B,C,D)

    N(x) / ( P/Rm ) 0.185 3C 5.425 (A,B)

    N(x) / ( P/Rm ) 0.185 4C 10.378 (C,D)

    M(x) / ( P ) 0.189 1C1 0.049 (A,B)

    M(x) / ( P ) 0.189 2C ! 0.036 (C,D)

    N(x) / ( MC/(Rm**2 * Beta) ) 0.160 4A 7.055 (A,B,C,D)

    M(x) / ( MC/(Rm * Beta) ) 0.198 2A 0.026 (A,B,C,D)

    N(x) / ( ML/(Rm**2 * Beta) ) 0.182 4B 3.266 (A,B,C,D)

  • BENDLING VESSEL V-410

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    Page 39

    M(x) / ( ML/(Rm * Beta) ) 0.193 2B 0.019 (A,B,C,D)

    Note - The ! mark next to the figure name denotes curve value exceeded.

    Stress Concentration Factors Kn = 1.00, Kb = 1.00

    Stresses in the Vessel at the Attachment Junction

    ------------------------------------------------------------------------

    | Stress Values at

    Type of | (N./mm )

    ---------------|--------------------------------------------------------

    Stress Load| Au Al Bu Bl Cu Cl Du Dl

    ---------------|--------------------------------------------------------

    Circ. Memb. P | 0 0 0 0 0 0 0 0

    Circ. Bend. P | 0 0 0 0 0 0 0 0

    Circ. Memb. MC | 0 0 0 0 0 0 0 0

    Circ. Bend. MC | 0 0 0 0 0 0 0 0

    Circ. Memb. ML | 15 15 -15 -15 0 0 0 0

    Circ. Bend. ML | 22 -22 -22 22 0 0 0 0

    |

    Tot. Circ. Str.| 37.6 -7.1 -37.6 7.1 0.0 0.0 0.0 0.0

    ------------------------------------------------------------------------

    Long. Memb. P | 0 0 0 0 0 0 0 0

    Long. Bend. P | 0 0 0 0 0 0 0 0

    Long. Memb. MC | 0 0 0 0 0 0 0 0

    Long. Bend. MC | 0 0 0 0 0 0 0 0

    Long. Memb. ML | 7 7 -7 -7 0 0 0 0

    Long. Bend. ML | 22 -22 -22 22 0 0 0 0

    |

    Tot. Long. Str.| 30.2 -14.5 -30.2 14.5 0.0 0.0 0.0 0.0

    ------------------------------------------------------------------------

    Shear VC | 0 0 0 0 0 0 0 0

    Shear VL | 0 0 0 0 -2 -2 2 2

  • BENDLING VESSEL V-410

    40

    Page 40

    Shear MT | 0 0 0 0 0 0 0 0

    |

    Tot. Shear| 0.0 0.0 0.0 0.0 -2.5 -2.5 2.5 2.5

    ------------------------------------------------------------------------

    Str. Int. | 37.63 14.51 37.63 14.51 5.06 5.06 5.06 5.06

    ------------------------------------------------------------------------

    Dimensionless Parameters used : Gamma = 200.50

    Dimensionless Loads for Cylindrical Shells at Pad edge:

    -------------------------------------------------------------------

    Curves read for 1979 Beta Figure Value Location

    -------------------------------------------------------------------

    N(PHI) / ( P/Rm ) 0.252 4C 14.096 (A,B)

    N(PHI) / ( P/Rm ) 0.252 3C 3.826 (C,D)

    M(PHI) / ( P ) 0.216 2C1 0.009 (A,B)

    M(PHI) / ( P ) 0.216 1C ! 0.068 (C,D)

    N(PHI) / ( MC/(Rm**2 * Beta) ) 0.215 3A 4.733 (A,B,C,D)

    M(PHI) / ( MC/(Rm * Beta) ) 0.220 1A 0.049 (A,B,C,D)

    N(PHI) / ( ML/(Rm**2 * Beta) ) 0.232 3B 9.059 (A,B,C,D)

    M(PHI) / ( ML/(Rm * Beta) ) 0.220 1B 0.006 (A,B,C,D)

    N(x) / ( P/Rm ) 0.235 3C 4.307 (A,B)

    N(x) / ( P/Rm ) 0.235 4C 15.146 (C,D)

    M(x) / ( P ) 0.238 1C1 0.020 (A,B)

    M(x) / ( P ) 0.238 2C ! 0.037 (C,D)

    N(x) / ( MC/(Rm**2 * Beta) ) 0.215 4A 16.499 (A,B,C,D)

    M(x) / ( MC/(Rm * Beta) ) 0.245 2A 0.018 (A,B,C,D)

    N(x) / ( ML/(Rm**2 * Beta) ) 0.232 4B 4.187 (A,B,C,D)

    M(x) / ( ML/(Rm * Beta) ) 0.232 2B 0.006 (A,B,C,D)

    Note - The ! mark next to the figure name denotes curve value exceeded.

    Stress Concentration Factors Kn = 1.00, Kb = 1.00

  • BENDLING VESSEL V-410

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    Page 41

    Stresses in the Vessel at the Edge of Reinforcing Pad

    ------------------------------------------------------------------------

    | Stress Values at

    Type of | (N./mm )

    ---------------|--------------------------------------------------------

    Stress Load| Au Al Bu Bl Cu Cl Du Dl

    ---------------|--------------------------------------------------------

    Circ. Memb. P | 0 0 0 0 0 0 0 0

    Circ. Bend. P | 0 0 0 0 0 0 0 0

    Circ. Memb. MC | 0 0 0 0 0 0 0 0

    Circ. Bend. MC | 0 0 0 0 0 0 0 0

    Circ. Memb. ML | 36 36 -36 -36 0 0 0 0

    Circ. Bend. ML | 31 -31 -31 31 0 0 0 0

    |

    Tot. Circ. Str.| 68.4 5.0 -68.4 -5.0 0.0 0.0 0.0 0.0

    ------------------------------------------------------------------------

    Long. Memb. P | 0 0 0 0 0 0 0 0

    Long. Bend. P | 0 0 0 0 0 0 0 0

    Long. Memb. MC | 0 0 0 0 0 0 0 0

    Long. Bend. MC | 0 0 0 0 0 0 0 0

    Long. Memb. ML | 18 18 -18 -18 0 0 0 0

    Long. Bend. ML | 31 -31 -31 31 0 0 0 0

    |

    Tot. Long. Str.| 49.3 -13.1 -49.3 13.1 0.0 0.0 0.0 0.0

    ------------------------------------------------------------------------

    Shear VC | 0 0 0 0 0 0 0 0

    Shear VL | 0 0 0 0 -4 -4 4 4

    Shear MT | 0 0 0 0 0 0 0 0

    |

    Tot. Shear| 0.0 0.0 0.0 0.0 -4.9 -4.9 4.9 4.9

    ------------------------------------------------------------------------

    Str. Int. | 68.43 18.05 68.43 18.05 9.84 9.84 9.84 9.84

    ------------------------------------------------------------------------

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    Page 42

    WRC 107 Stress Summations:

    Vessel Stress Summation at Attachment Junction

    ------------------------------------------------------------------------

    Type of | Stress Values at

    Stress Int. | (N./mm )

    ---------------|--------------------------------------------------------

    Location | Au Al Bu Bl Cu Cl Du Dl

    ---------------|--------------------------------------------------------

    Circ. Pm (SUS) | 8 8 8 8 8 8 8 8

    Circ. Pl (SUS) | 15 15 -15 -15 0 0 0 0

    Circ. Q (SUS) | 22 -22 -22 22 0 0 0 0

    ------------------------------------------------------------------------

    Long. Pm (SUS) | 4 4 4 4 4 4 4 4

    Long. Pl (SUS) | 7 7 -7 -7 0 0 0 0

    Long. Q (SUS) | 22 -22 -22 22 0 0 0 0

    ------------------------------------------------------------------------

    Shear Pm (SUS) | 0 0 0 0 0 0 0 0

    Shear Pl (SUS) | 0 0 0 0 -2 -2 2 2

    Shear Q (SUS) | 0 0 0 0 0 0 0 0

    ------------------------------------------------------------------------

    Pm (SUS) | 8.8 8.9 8.8 8.9 8.8 8.9 8.8 8.9

    ------------------------------------------------------------------------

    Pm+Pl (SUS) | 24.0 24.1 6.5 6.4 9.9 10.0 9.9 10.0

    ------------------------------------------------------------------------

    Pm+Pl+Q (Total)| 46.4 11.9 28.9 18.9 9.9 10.0 9.9 10.0

    ------------------------------------------------------------------------

    ------------------------------------------------------------------------

    Type of | Max. S.I. S.I. Allowable | Result

    Stress Int. | N./mm |

    ---------------|--------------------------------------------------------

    Pm (SUS) | 8.88 98.79 | Passed

    Pm+Pl (SUS) | 24.13 148.19 | Passed

    Pm+Pl+Q (TOTAL)| 46.41 355.04 | Passed

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    Page 43

    ------------------------------------------------------------------------

    WRC 107 Stress Summations:

    Vessel Stress Summation at Reinforcing Pad Edge

    ------------------------------------------------------------------------

    Type of | Stress Values at

    Stress Int. | (N./mm )

    ---------------|--------------------------------------------------------

    Location | Au Al Bu Bl Cu Cl Du Dl

    ---------------|--------------------------------------------------------

    Circ. Pm (SUS) | 20 20 20 20 20 20 20 20

    Circ. Pl (SUS) | 36 36 -36 -36 0 0 0 0

    Circ. Q (SUS) | 31 -31 -31 31 0 0 0 0

    ------------------------------------------------------------------------

    Long. Pm (SUS) | 10 10 10 10 10 10 10 10

    Long. Pl (SUS) | 18 18 -18 -18 0 0 0 0

    Long. Q (SUS) | 31 -31 -31 31 0 0 0 0

    ------------------------------------------------------------------------

    Shear Pm (SUS) | 0 0 0 0 0 0 0 0

    Shear Pl (SUS) | 0 0 0 0 -4 -4 4 4

    Shear Q (SUS) | 0 0 0 0 0 0 0 0

    ------------------------------------------------------------------------

    Pm (SUS) | 20.5 20.7 20.5 20.7 20.5 20.7 20.5 20.7

    ------------------------------------------------------------------------

    Pm+Pl (SUS) | 57.3 57.4 16.2 16.1 22.5 22.6 22.5 22.6

    ------------------------------------------------------------------------

    Pm+Pl+Q (Total)| 89.0 28.4 47.9 23.3 22.5 22.6 22.5 22.6

    ------------------------------------------------------------------------

    ------------------------------------------------------------------------

    Type of | Max. S.I. S.I. Allowable | Result

    Stress Int. | N./mm |

    ---------------|--------------------------------------------------------

    Pm (SUS) | 20.65 98.79 | Passed

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    Page 44

    Pm+Pl (SUS) | 57.36 148.19 | Passed

    Pm+Pl+Q (TOTAL)| 88.98 355.04 | Passed

    ------------------------------------------------------------------------

    PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012

    CONCLUSION:

    o As per support lug calculation for operating case (see page 33) have:

    + Required thickness of top plate: 8.4mm < 25mm (actual)

    + Required thickness of bottom plate: 14.6749mm < 25mm (actual)

    + Required thickness of gussets: 7.9302mm < 16mm (actual)

    Support Lug actual: Pass

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    B. VIBRATION ANALYSIS SUPPORT FOR AGITATOR WHEN AGIRATOR OPERATING

    INTRODUCTION

    The software uses for the analysis is sap2000.v15 The support of agitator analysed with case when agitator operating.

    The support analysed vibration at every column base. Load cases:

    o LC1- Dead load (DL): Steel member self-weight.

    o LC2 Equipment load (EL): Nozzle weight = 0.8 kN Agitator weight = 3 kN

    o LC3 Live load (LL): Agitator operating load = 6.1 kN Manual access Load (The load of public) = 0.8 kN

    o LC4 Wind load (WL): Inessential

    o LC5 Earthquake load (EQ): Inessential

    Load combination : Combination Case Load Name Scale Factor

    UDSTL1

    Dead load Equipment load

    1.4 1.4

    UDSTL2

    Dead load Live load Equipment load

    1.2 1.6 1.2

    UDSTL3 Dead load Equipment load

    1 1

    UDSTL4

    Dead load Live load Equipment load

    1 1 1

    Design Code

    a. Used standard AISC-LRFD93 American institute Of Steel Construction. b. CP 3: Chapter V Design Loading for Building (Wind Load).

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    MATERIAL PROPERTIES

    This section provides material property information for materials used in the model. 1. Material properties

    This section provides material property information for materials used in the model. Table 1: Material Properties

    Material UnitWeight UnitMass E1 G12 U12 A1

    KN/mm3 KN-s2/mm4 KN/mm2 KN/mm2 1/C

    SA 240 304 7.6973E-08 7.8490E-12 199.94798 76.90307 0.300000 1.1700E-05

    Table 2: Material Properties

    Material Fy Fu FinalSlope

    KN/mm2 KN/mm2

    SA 240 304 0.24100 0.58600 -0.100000

    2. Section properties

    This section provides section property information for objects used in the model. 1.1. Frames

    Table 3: Frame Section Properties 01 - General, Part 1 of 4

    SectionName Material Shape t3 t2 tf tw Area TorsConst

    mm mm mm mm mm2 mm4

    T150x70 SA 240 304 Tee 150.000 70.000 8.000 8.000 1696.00 35505.49

    Table 3: Frame Section Properties 01 - General, Part 2 of 4

    SectionName I33 I22 AS2 AS3

    mm4 mm4 mm2 mm2

    T150x70 4021750.99

    234725.33 1200.00 466.67

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    Table 3: Frame Section Properties 01 - General, Part 3 of 4

    SectionName S33 S22 Z33 Z22 R33 R22

    mm3 mm3 mm3 mm3 mm mm

    T150x70 41996.41 6706.44 72528.00 12072.00 48.696 11.764

    Table 3: Frame Section Properties 01 - General, Part 4 of 4

    SectionName AMod A2Mod A3Mod JMod I2Mod I3Mod MMod WMod

    T150x70 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

    1.2. Areas

    Table 4: Area Section Properties, Part 1 of 3

    Section Material AreaType Type DrillDOF Thickness BendThick F11Mod

    mm mm

    PLATE 8 SA 240 304 Shell Shell-Thin Yes 8.000 8.000 1.000000

    Table 4: Area Section Properties, Part 2 of 3

    Section F22Mod F12Mod M11Mod M22Mod M12Mod V13Mod V23Mod

    PLATE 8 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

    Table 4: Area Section Properties, Part 3 of 3

    Section MMod WMod

    PLATE 8 1.000000 1.000000

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    3. Model geometry

    This section provides model geometry information, including items such as joint coordinates, joint restraints, and element connectivity.

    Figure 1: 3D model

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    Figure 2: Live load (LL=6.8 kN)

    Figure 3: Equipment Load (EL= 3.8 kN)

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    Page 50

    Figure 4: Combination Load USTL1

    Figure 5: Combination Load USTL2

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    Figure 6: Combination Load USTL3

    Figure 7: Combination Load USTL4

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    Page 52

    Figure 8: Force/stresses diagram

    4. Load patterns

    This section provides loading information as applied to the model. - Definitions

    Table 5: Load Pattern Definitions

    LoadPat DesignType SelfWtMult AutoLoad

    DEAD DEAD 1.000000

    LIVE LOAD LIVE 0.000000

    EQUIPMENT LOAD

    DEAD 1.000000

    5. Load cases

    This section provides load case information.

    Definitions

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    Table 6: Load Case Definitions

    Case Type InitialCond ModalCase BaseCase

    DEAD LinStatic Zero

    MODAL LinModal Zero

    LIVE LOAD LinStatic Zero

    EQUIPMENT LOAD

    LinStatic Zero

    - Static case load assignments

    Table 7: Case - Static 1 - Load Assignments

    Case LoadType LoadName LoadSF

    DEAD Load pattern DEAD 1.000000

    LIVE LOAD Load pattern LIVE LOAD 1.000000

    EQUIPMENT LOAD

    Load pattern EQUIPMENT LOAD

    1.000000

    6. Load combinations

    This section provides load combination information. Table 8: Combination Definitions

    ComboName ComboType CaseName ScaleFactor

    UDSTL1 Linear Add DEAD 1.400000

    UDSTL1 EQUIPMENT LOAD

    1.400000

    UDSTL2 Linear Add DEAD 1.200000

    UDSTL2 LIVE LOAD 1.600000

    UDSTL2 EQUIPMENT LOAD

    1.200000

    UDSTL3 Linear Add DEAD 1.000000

    UDSTL3 EQUIPMENT LOAD

    1.000000

    UDSTL4 Linear Add DEAD 1.000000

    UDSTL4 LIVE LOAD 1.000000

    UDSTL4 EQUIPMENT LOAD

    1.000000

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    7. Design summary

    This section provides the design summary for each type of design, which highlights the controlling demand/capacity ratio and it's associated combination and location in each member. 7.1. Steel design

    Table 9: Steel Design 1 - Summary Data - AISC-LRFD93.

    Frame Location Combo DesignSect DesignType Ratio RatioType

    mm Frame Status ErrMsg

    5

    717.72

    UDSTL2

    T150x70

    Beam

    0.115454

    PMM

    5 No Messages No Messages

    10 0.00 UDSTL2 T150x70 Beam 0.115440 PMM 10 No Messages No Messages

    11 874.55 UDSTL2 T150x70 Beam 0.117853 PMM 11 No Messages No Messages

    12 234.11 UDSTL2 T150x70 Beam 0.115224 PMM 12 No Messages No Messages

    13 0.00 UDSTL2 T150x70 Beam 0.117863 PMM 13 No Messages No Messages

    18 459.22 UDSTL2 T150x70 Beam 0.129925 PMM 18 No Messages No Messages

    19 0.00 UDSTL2 T150x70 Beam 0.115425 PMM 19 No Messages No Messages

    20 717.72 UDSTL2 T150x70 Beam 0.115464 PMM 20 No Messages No Messages

    21 459.22 UDSTL2 T150x70 Beam 0.129934 PMM 21 No Messages No Messages

    22 874.55 UDSTL2 T150x70 Beam 0.117884 PMM 22 No Messages No Messages

    23 234.11 UDSTL2 T150x70 Beam 0.115206 PMM 23 No Messages No Messages

    24 0.00 UDSTL2 T150x70 Beam 0.117812 PMM 24 No Messages No Messages

    7.2 Conclusion:

    As per table 9, ratio between of allowance stress and stress of sap2000 calculated for the structures less than 1. So in the case whole the support for agitator are pass.