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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./mm²
Allowable Stress, Operating 98.794 N./mm²
Allowable Stress, Hydrotest 179.27 N./mm²
Material Density 0.008027 kg./cm³
P Number Thickness 0.0000 mm.
Yield Stress, Operating 147.89 N./mm²
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./cm³
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./cm³
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./mm²
Shell Allowable Stress, Ambient SA 137.90 N./mm²
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./mm²
Jacket Allowable Stress, Ambient S1A 137.90 N./mm²
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./mm²
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./mm² |
---------------------------------------------------------------------------
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)²*((S*E)/(C*Z)) UG-34 (c)(3)
= (8.0000/250.0000))²*((98.79*1.00)/(0.30*1.00))
= 3.372 - 0.285 = 3.087 bars
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (t/d)²*((S*E)/(C*Z)) per UG-34 (c) (3)
= (8.0000/250.0000)²*((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)²)*E)
= (1.00*0.30*1.315)/(((8.0000/250.0000)²)*1.00)
= 38.517 N./mm²
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./mm²
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]:
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= 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)²*((S*E)/(C*Z)) UG-34 (c)(3)
= (8.0000/2400.0000))²*((98.79*1.00)/(0.20*1.00))
= 1.050 bars
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (t/d)²*((S*E)/(C*Z)) per UG-34 (c) (3)
= (8.0000/2400.0000)²*((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)²)*E)
= (1.00*0.20*1.030)/(((8.0000/2400.0000)²)*1.00)
= 96.868 N./mm²
Elements Suitable for Internal Pressure.
PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2012
Page 26
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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
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27
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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./mm² |
---------------------------------------------------------------------------
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 |
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28
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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
Page 29
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29
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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
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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.
Page 31
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31
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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 |
| | cm² |
----------------------------
10| 20| ... |
20| 30| 43558.3 |
30| 40| 212171. |
40| 50| ... |
----------------------------
Total 255728.906 cm²
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 |
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32
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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
Page 33
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
Page 34
BENDLING VESSEL V-410
34
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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./mm²
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./mm²
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
Page 35
BENDLING VESSEL V-410
35
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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*Wtp²*Hgp )
= 0.75*( 3610 *250.000 *400.000 )/( 25.0000 *80.000²*500.000 )
= 33.20 N./mm²
Required Thickness of Top Plate 8.4180 mm.
Bearing Area [Ba]:
= Lpl * Wfb
= 400.000 * 200.000
= 800.00 cm²
Bending Stress in bottom Plate (Unif. Load) Per Bednar p.156 [Spl2]:
= Beta1 * Flug/Ba * Wfb² / Tpl² per Roark & Young 5th Ed.
= 1.199 * 3610.8/800.000 * 200.000²/25.000²
= 33.97 N./mm²
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 )½
= 0.71*340.00*((3610/(400.00*200.00))/98.592)½
= 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
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BENDLING VESSEL V-410
36
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= 2/3 * 147
= 98.59 N./mm²
Gusset Plate Axial Stress ( Force / Gusset Plate Area ) [Sgp]:
= ( Flug/2 )/( Wgp * Tgp )
= ( 3610/2 )/( 150.000 *16.0000 )
= 7.38 N./mm²
Required Thickness of Gussets per AISC 7.9302 mm.
Gusset Plate Allowable Stress [Sga]:
= ( 1-(Klr)²/(2*Cc²))*Fy /( 5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³)
= ( 1-( 125.00 )²/(2 * 156.65² )) * 147/
( 5/3+3*(125.00 )/(8* 156.65 )-( 125.00³)/(8*156.65³)
= 52.99 N./mm²
Maximum Compressive Gusset Plate Stress per Bednar [SgpB]:
= Flug*( 3*Dlug-Wpl )/( Tgp* Wpl² * (Sin(Alph_G))² )
= 3610 *( 3*250.000 -300.000 )/( 16.0000 *300.000²*(Sin(59.04 ))² )
= 15.05 N./mm²
Gusset Plate Allowable Compressive Stress [SgaB]:
= 18000/(1+(1/18000)*( Hgp/Sin(Alph_G)/(0.289*Tgp))² )
= 18000/(1+(1/18000)* (500.000/Sin(59.04 )/(0.289*16.0000 ))² )
= 65.90 N./mm²
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.
Page 37
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37
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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
Page 38
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38
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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)
Page 39
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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./mm² )
---------------|--------------------------------------------------------
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
Page 40
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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
Page 41
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41
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Stresses in the Vessel at the Edge of Reinforcing Pad
------------------------------------------------------------------------
| Stress Values at
Type of | (N./mm² )
---------------|--------------------------------------------------------
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
------------------------------------------------------------------------
Page 42
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WRC 107 Stress Summations:
Vessel Stress Summation at Attachment Junction
------------------------------------------------------------------------
Type of | Stress Values at
Stress Int. | (N./mm² )
---------------|--------------------------------------------------------
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./mm² |
---------------|--------------------------------------------------------
Pm (SUS) | 8.88 98.79 | Passed
Pm+Pl (SUS) | 24.13 148.19 | Passed
Pm+Pl+Q (TOTAL)| 46.41 355.04 | Passed
Page 43
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43
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------------------------------------------------------------------------
WRC 107 Stress Summations:
Vessel Stress Summation at Reinforcing Pad Edge
------------------------------------------------------------------------
Type of | Stress Values at
Stress Int. | (N./mm² )
---------------|--------------------------------------------------------
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./mm² |
---------------|--------------------------------------------------------
Pm (SUS) | 20.65 98.79 | Passed
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Pm+Pl (SUS) | 57.36 148.19 | Passed
Pm+Pl+Q (TOTAL)| 88.98 355.04 | Passed
------------------------------------------------------------------------
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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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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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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.