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khemanthText BoxASME Sec VIII Div.1 2004 Edition,2006 Addenda
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Index
Cover Sheet.............................................................................................................................................................1Index...........................................................................................................................................................................2Applicable standard..........................................................................................................................................4Design Standard...................................................................................................................................................5Materials of construction...........................................................................................................................7Warnings and Errors..........................................................................................................................................8Input Echo...............................................................................................................................................................9XY Coordinate Calculations.......................................................................................................................19Flange Calculations FLANGE.......................................................................................................................20Flange Calculations FLANGE.......................................................................................................................29Internal Pressure Calculations.............................................................................................................34External Pressure Calculations.............................................................................................................38Element and Detail Weights.......................................................................................................................40Nozzle Flange MAWP..........................................................................................................................................44Natural Frequency Calculation................................................................................................................45Forces/Moments Applied to Vessel (Combi........................................................................................46Wind Load Calculation...................................................................................................................................47Earthquake Load Calculation....................................................................................................................51User Force/Moment Shear and Bending.................................................................................................54Wind/Earthquake Shear, Bending.............................................................................................................55Wind Deflection.................................................................................................................................................56Longitudinal Stress Constants................................................................................................................57Longitudinal Allowable Stresses...........................................................................................................58Longitudinal Stresses Due to . . .....................................................................................................59Stress due to Combined Loads..................................................................................................................62Center of Gravity Calculation................................................................................................................69Leg Check, (Operating Case)....................................................................................................................70Nozzle Calcs. C4...............................................................................................................................................74Nozzle Calcs. C5...............................................................................................................................................79Nozzle Calcs. R1...............................................................................................................................................85
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Nozzle Calcs. R2...............................................................................................................................................90Nozzle Calcs. C1...............................................................................................................................................95Nozzle Calcs. C2.............................................................................................................................................101Nozzle Calcs. C3.............................................................................................................................................106Nozzle Schedule...............................................................................................................................................112Nozzle Summary.................................................................................................................................................114Vessel Design Summary.................................................................................................................................117Leg & Lug Analysis Lifting Lug.........................................................................................................120WRC297 Analysis : C1 & C3..................................................................................................................124Vessel Results Summary..................................................................................................................132
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4
Applicablestandard
SL.NO DESCRIPTION
1
ASME BOILER AND PRESSURE VESSEL CODE SECTION VIII DIVISION 1 2004 ED. 2006ADD + PROJECT SPECIFICATION
2
ASME BOILER AND PRESSURE VESSEL CODE SECTION II PART 'D' 2004 EDITION , ADDENDA 2006
3
WIND LOADS CALCULATION ASCE 7-02 40 m/sec , EXPOSURE B , IMPORTANCE FACTOR 1.0
4
EARTH QUAKE CALCULATIONS UBC 1997 , ZONE: 2B ; IMPORTANCE FACTOR 1.25
5 WRC 107 : NOZZLE LOCAL LOAD ANALYSIS FOR NOZZLES ON SPHERICAL HEADS
6 WRC 297 : NOZZLE LOCAL LOAD ANALYSIS FOR NOZZLES ON CYLINDRICAL SHELL
7 SEAMLESS CARBON STEEL PIPE- ASME B 36.10 2000
8
PIPE FLANGES - ASME B 16.5 2003 (1)
9
PIPE FITTINGS ASME B16.9 2003
10
METALLIC GASKETS ASME B16.20 - 1998 (R2004)
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DesigndataS.No DESCRIPTION UNIT VALUES REMARKS
1 Code Of Construction ASME SEC VIII Div 1 EDITION 2004 , ADD 2006
Criticality Rating -
2 SIZE 12 NB x 952 LG
Orientation & Support Type Vertical , Leg Support
3 Design Internal Pressure mmWc (barg)
300 (0.03) UG-21
4 Design External pressure mmWc (barg)
- UG-21
5 Design Temperature (INT/EXT) Deg C 65 / - UG-20
6 Min.Design Metal Temperature Deg C 8 UG-20
7 Test water Temperature Deg C Not less than 17
8 MAWP (Hot & Corroded) MPag 19.65 @ 65 Deg C
UG-98
9 MAP (New & Cold) MPag - UG-98
10
Hydro pressure in corroded condition at site (at top) mmWc
(barg)
390 (0.04) UG-99 (b)
Hydro pressure in un-corroded condition at shop (at top)
- UG-99 (c)
11 Operating Pressure (Max)
mmWc (barg)
ATM
Operating Temperature (Max) Deg C 38
12
Operating Medium WATER
Capacity cu.m 0.065
Liquid Density Kg/cu.m 1000
Vessel is in Lethal / Sour / Hydrogen Service NO / NO / NO
13 Corrosion allowance mm 3.0
14 Joint Efficiency
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Shell 0.85 UW-12
Dish ends 0.85 UW-12
15
Radiography (RT-3)
Shell SPOT UW-11
Head SPOT UW-11
16 H.T. of heads after forming YES UCS-56
PWHT NO UCS-56
17 Impact testing NO UG-20(f) & UCS-66
18 Wind Design ASCE-7 05 (144 Km/Hr.)
19 Seismic Design UBC 1997 , Category-2, Imp Factor 1.25)
20 Special service NO UW-2
21 Insulation NO
22 Fireproofing NO
NOTE :-
1) MAWP MAP OF VESSEL IS GOVERNED BY SHELL.
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MaterialsofconstructionandstressvaluesasperASMESECIIPARTD
RFPADS/ExternalWelded
Stress at Hydrotest temp.
Stress at Design Temp.
Stress Ratio
SA516Gr70
137.9
137.9
1.0
MPa
MPa
SHELLPIPE/NOZZLESPIPES
Stress at Hydrotest temp.
Stress at Design Temp.
Stress Ratio
SA106GrB
117.9
117.9
1.0
MPa
MPa
ENDCAP/PIPEFITTINGSS
Stress at Hydrotest temp.
Stress at Design Temp.
Stress Ratio
SA234GrWPB
117.9
117.9
1.0
MPa
MPa
NOZZLES/BODYFLANGE
Stress at Hydrotest temp.
Stress at Design Temp.
Stress Ratio
SA105
137.9
137.9
1.0
MPa
MPa
STUDBOLTSANDNUTS
Stress at Hydrotest temp.
Stress at Design Temp.
Stress Ratio
SA193GRB7/SA194GR2H
172.38
172.38
1.0
MPa
MPa
PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Warnings and Errors Step: 0 2:21p May 27,2008
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Class From To : Basic Element Checks.
==========================================================================
Class From To: Check of Additional Element Data
==========================================================================
There were no geometry errors or warnings.
PV Elite 2008 1993-2008 by COADE Engineering Software
PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Input Echo Step: 1 2:21p May 27,2008
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PV Elite Vessel Analysis Program: Input Data
Design Internal Pressure (for Hydrotest) 0.03000 bars
Design Internal Temperature 65 C
Type of Hydrotest UG99-b
Hydrotest Position Horizontal
Projection of Nozzle from Vessel Top 203.00 mm.
Projection of Nozzle from Vessel Bottom 0.0000 mm.
Minimum Design Metal Temperature 8 C
Type of Construction Welded
Special Service Air/Water/Steam
Degree of Radiography RT 3
Miscellaneous Weight Percent 5.
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
Use Hydrotest Allowable Unmodified Y
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+EQ+FS+BS
Load Case 3 NP+OW+WI+FW+BW
PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Input Echo Step: 1 2:21p May 27,2008
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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
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+OW
Load Case 17 IP+VF+CW
Load Case 18 C
Load Case 19 C
Load Case 20 C
Wind Design Code ASCE-7 98/02/05/IBC-03/STS-1
Design Wind Speed 40.000 m/sec
Exposure Constant B
Importance Factor 1.
Roughness Factor 1
Base Elevation 0.0000 mm.
Percent Wind for Hydrotest 33.
Use Wind Profile (Y/N) N
Height of Hill or Escarpment H 0.0000 mm.
Distance Upwind of Crest Lh 0.0000 mm.
Distance from Crest to the Vessel x 0.0000 mm.
Height above Local Ground z 0.0000 mm.
Type of Terrain ( Hill, Escarpment ) Flat
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Damping Factor (Beta) for Wind (Ope) 0.0100
Damping Factor (Beta) for Wind (Empty) 0.0000
Damping Factor (Beta) for Wind (Filled) 0.0000
Seismic Design Code UBC 1997
UBC Seismic Zone (1=1,2=2a,3=2b,4=3,5=4) 3
UBC Importance Factor 1.250
UBC Seismic Coefficient Ca 0.360
UBC Seismic Coefficient Cv 0.840
UBC Seismic Coefficient Nv 1.000
UBC Horizontal Force Factor 2.000
Apply Allowables per paragraph 1612.3.2 No
Design Nozzle for Des. Press. + St. Head Y
Consider MAP New and Cold in Noz. Design N
Consider External Loads for Nozzle Des. Y
Consider Code Case 2168 for Nozzle Des. N
Material Database Year Current w/Addenda or Code Year
Complete Listing of Vessel Elements and Details:
Element From Node 10
Element To Node 20
Element Type Elliptical
Description
Distance "FROM" to "TO" 66.000 mm.
Inside Diameter 307.09 mm.
Element Thickness 8.3500 mm.
Internal Corrosion Allowance 3.0000 mm.
Nominal Thickness 10.000 mm.
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External Corrosion Allowance 0.0000 mm.
Design Internal Pressure 0.03000 bars
Design Temperature Internal Pressure 65 C
Design External Pressure 0.0000 bars
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name SA-234 WPB
Allowable Stress, Ambient 117.90 N./mm
Allowable Stress, Operating 117.90 N./mm
Allowable Stress, Hydrotest 153.27 N./mm
Material Density 7750.4 kg/m
P Number Thickness 31.750 mm.
Yield Stress, Operating 227.13 N./mm
UCS-66 Chart Curve Designation B
External Pressure Chart Name CS-2
UNS Number K03006
Product Form smls/wld ftgs
Efficiency, Longitudinal Seam 0.85
Efficiency, Circumferential Seam 0.85
Elliptical Head Factor 2.
Element From Node 10
Detail Type Nozzle
Detail ID C4
Dist. from "FROM" Node / Offset dist 0.0000 mm.
Nozzle Diameter 1. in.
Nozzle Schedule 160
Nozzle Class 150
Layout Angle 0.
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 25.803 N.
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PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Input Echo Step: 1 2:21p May 27,2008
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Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 10
Detail Type Nozzle
Detail ID C5
Dist. from "FROM" Node / Offset dist 100.00 mm.
Nozzle Diameter 1. in.
Nozzle Schedule 160
Nozzle Class 150
Layout Angle 180.
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 24.048 N.
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 10
Detail Type Leg
Detail ID LEGS
Dist. from "FROM" Node / Offset dist 170.00 mm.
Diameter at Leg Centerline 426.46 mm.
Leg Orientation 3
Number of Legs 3
Section Identifier ISA65X65X5
Length of Legs 904.00 mm.
Element From Node 20
Element To Node 30
Element Type Cylinder
Description
Distance "FROM" to "TO" 686.00 mm.
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PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Input Echo Step: 1 2:21p May 27,2008
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Inside Diameter 307.09 mm.
Element Thickness 8.3500 mm.
Internal Corrosion Allowance 3.0000 mm.
Nominal Thickness 8.3500 mm.
External Corrosion Allowance 0.0000 mm.
Design Internal Pressure 0.03000 bars
Design Temperature Internal Pressure 65 C
Design External Pressure 0.0000 bars
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name SA-106 B
Allowable Stress, Ambient 117.90 N./mm
Allowable Stress, Operating 117.90 N./mm
Allowable Stress, Hydrotest 153.27 N./mm
Material Density 7833.4 kg/m
P Number Thickness 31.750 mm.
Yield Stress, Operating 227.13 N./mm
UCS-66 Chart Curve Designation B
External Pressure Chart Name CS-2
UNS Number K03006
Product Form Smls. pipe
Efficiency, Longitudinal Seam 0.85
Efficiency, Circumferential Seam 0.85
Element From Node 20
Detail Type Nozzle
Detail ID R1
Dist. from "FROM" Node / Offset dist 575.00 mm.
Nozzle Diameter 1. in.
Nozzle Schedule 160
Nozzle Class 150
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Layout Angle 0.
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 24.366 N.
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 20
Detail Type Nozzle
Detail ID R2
Dist. from "FROM" Node / Offset dist 100.00 mm.
Nozzle Diameter 1. in.
Nozzle Schedule 160
Nozzle Class 150
Layout Angle 0.
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 24.366 N.
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 30
Element To Node 40
Element Type Flange
Description
Distance "FROM" to "TO" 114.00 mm.
Flange Inside Diameter 304.80 mm.
Element Thickness 32.000 mm.
Internal Corrosion Allowance 3.0000 mm.
Nominal Thickness 8.3500 mm.
External Corrosion Allowance 0.0000 mm.
Design Internal Pressure 0.03000 bars
Design Temperature Internal Pressure 65 C
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PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Input Echo Step: 1 2:21p May 27,2008
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Design External Pressure 0.0000 bars
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name SA-105
Allowable Stress, Ambient 137.90 N./mm
Allowable Stress, Operating 137.90 N./mm
Allowable Stress, Hydrotest 179.26 N./mm
Material Density 7833.4 kg/m
P Number Thickness 31.750 mm.
Yield Stress, Operating 233.35 N./mm
UCS-66 Chart Curve Designation B
External Pressure Chart Name CS-2
UNS Number K03504
Product Form Forgings
Perform Flange Stress Calculation (Y/N) Y
Weight of ANSI B16.5/B16.47 Flange 0.0000 N.
Class of ANSI B16.5/B16.47 Flange None
Grade of ANSI B16.5/B16.47 Flange None
Element From Node 40
Element To Node 50
Element Type Flange
Description
Distance "FROM" to "TO" 31.750 mm.
Flange Inside Diameter 482.60 mm.
Element Thickness 31.750 mm.
Internal Corrosion Allowance 3.0000 mm.
Nominal Thickness 32.000 mm.
External Corrosion Allowance 0.0000 mm.
Design Internal Pressure 0.03000 bars
Design Temperature Internal Pressure 65 C
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Design External Pressure 0.0000 bars
Design Temperature External Pressure 0 C
Effective Diameter Multiplier 1.2
Material Name SA-105
Perform Flange Stress Calculation (Y/N) Y
Weight of ANSI B16.5/B16.47 Flange 0.0000 N.
Class of ANSI B16.5/B16.47 Flange
Grade of ANSI B16.5/B16.47 Flange
Element From Node 40
Detail Type Nozzle
Detail ID C1
Dist. from "FROM" Node / Offset dist 90.000 mm.
Nozzle Diameter 3. in.
Nozzle Schedule XXS
Nozzle Class 150
Layout Angle 180.
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 101.00 N.
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 40
Detail Type Nozzle
Detail ID C2
Dist. from "FROM" Node / Offset dist 115.00 mm.
Nozzle Diameter 0.75 in.
Nozzle Schedule XXS
Nozzle Class 150
Layout Angle 90.
Blind Flange (Y/N) N
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Weight of Nozzle ( Used if > 0 ) 16.449 N.
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 40
Detail Type Nozzle
Detail ID C3
Dist. from "FROM" Node / Offset dist 90.000 mm.
Nozzle Diameter 3. in.
Nozzle Schedule XXS
Nozzle Class 150
Layout Angle 0.
Blind Flange (Y/N) N
Weight of Nozzle ( Used if > 0 ) 16.449 N.
Grade of Attached Flange GR 1.1
Nozzle Matl SA-106 B
Element From Node 40
Detail Type For./Mom.
Detail ID F/M:[1 of 1]
Dist. from "FROM" Node / Offset dist 0.0000 mm.
Force in X Direction 0.0000 N.
Force in Y Direction 0.0000 N.
Force in Z Direction 0.0000 N.
Moment about X Axis 0.0000 N.m.
Moment about Y Axis 0.0000 N.m.
Moment about Z Axis 0.0000 N.m.
Force/Moment Combination Method SRSS
PV Elite 2008 1993-2008 by COADE Engineering Software
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PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- XY Coordinate Calculations Step: 2 2:21p May 27,2008
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XY Coordinate Calculations
| | | | | |
From| To | X (Horiz.)| Y (Vert.) |DX (Horiz.)| DY (Vert.) |
| | mm. | mm. | mm. | mm. |
10| 20| 0.00000 | 66.0000 | 0.00000 | 66.0000 |
20| 30| 0.00000 | 752.000 | 0.00000 | 686.000 |
30| 40| 0.00000 | 866.000 | 0.00000 | 114.000 |
40| 50| 0.00000 | 897.750 | 0.00000 | 31.7500 |
PV Elite 2008 1993-2008 by COADE Engineering Software
PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Flange Calculations FLANGE Flng: 3 2:21p May 27,2008
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Flange Input Data Values Description: FLANGE :
Item: Node 30 to 40
Description of Flange Geometry (Type) Integral Weld Neck
Description of Flange Analysis Partial, Thickness
Design Pressure P 0.03 bars
Design Temperature 65 C
Internal Corrosion Allowance ci 3.0000 mm.
External Corrosion Allowance ce 0.0000 mm.
Use Corrosion Allowance in Thickness Calcs. Yes
Flange Inside Diameter B 307.000 mm.
Flange Outside Diameter A 483.000 mm.
Flange Thickness t 32.0000 mm.
Thickness of Hub at Small End go 8.5000 mm.
Thickness of Hub at Large End g1 29.0000 mm.
Length of Hub h 82.0000 mm.
Flange Material SA-105
Flange Allowable Stress At Temperature Sfo 137.90 N./mm
Flange Allowable Stress At Ambient Sfa 137.90 N./mm
Bolt Material SA-193 B7
Bolt Allowable Stress At Temperature Sb 172.37 N./mm
Bolt Allowable Stress At Ambient Sa 172.37 N./mm
Diameter of Bolt Circle C 432.000 mm.
Nominal Bolt Diameter dB 24.0000 mm.
Type of Threads TEMA Thread Series
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Number of Bolts 12
Flange Face Outside Diameter Fod 381.000 mm.
Flange Face Inside Diameter Fid 307.000 mm.
Flange Facing Sketch 1, Code Sketch 1a
Gasket Outside Diameter Go 381.000 mm.
Gasket Inside Diameter Gi 307.000 mm.
Gasket Factor m 2.0000
Gasket Design Seating Stress y 11.03 N./mm
Column for Gasket Seating 2, Code Column II
Gasket Thickness tg 3.0000 mm.
ASME Code, Section VIII, Division 1, 2007
Hub Small End Required Thickness due to Internal Pressure:
= (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1)
= (0.03*(307.0000/2+3.0000))/(137.90*0.85-0.6*0.03)+Ca
= 3.0040 mm.
Corroded Flange Thickness, tc = T-Fcor 29.000 mm.
Corroded Flange ID, Bcor = B+2*Fcor 313.000 mm.
Corroded Large Hub, g1Cor = g1-Fcor 26.000 mm.
Corroded Small Hub, g0Cor = go-Fcor 5.500 mm.
Code R Dimension, R = ((C-Bcor)/2)-g1cor 33.500 mm.
Gasket Contact Width, N = (Go - Gi) / 2 37.000 mm.
Basic Gasket Width, bo = N / 2 18.500 mm.
Effective Gasket Width, b = sqrt(bo) / 2 10.839 mm.
Gasket Reaction Diameter, G = Go - 2 * b 359.323 mm.
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Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G * Peq
= 0.785 * 359.3228 * 0.030
= 304.200 N.
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P +
= 2 * 10.8386 * 3.1416 * 359.3228 * 2.0000 * 0.03
= 146.814 N.
Hydrostatic End Load at Flange ID [Hd]:
= Pi * Bcor * P / 4
= 3.1416 * 313.0000 *0.0300 / 4
= 230.822 N.
Pressure Force on Flange Face [Ht]:
= H - Hd
= 304 - 230
= 73.377 N.
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 304 + 146 + 0 , 0 )
= 451.014 N.
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 11.03*10.8386*3.141*359.323+0.00*0.0000*0.00
= 134946.344 N.
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
= Maximum of 451 / 172 , 134946 / 172
= 782.931 mm
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Bolting Information for TEMA Imperial Thread Series (Non Mandatory):
-----------------------------------------------------------------------------
Minimum Actual Maximum
-----------------------------------------------------------------------------
Bolt Area, mm 782.931 3243.864
Radial distance bet. hub and bolts 31.750 33.500
Radial distance bet. bolts and the edge 23.812 25.500
Circumferential spacing between bolts 52.400 111.810 114.050
-----------------------------------------------------------------------------
Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
= 3243.864 * 172.37 /(11.03 * 3.14 * (381.000 + 307.00 ) )
= 23.454 mm.
Flange Design Bolt Load, Gasket Seating [W]:
= Sa * ( Am + Ab ) / 2
= 172.37 * ( 782.9315 + 3243.8643 ) / 2
= 347029.97 N.
Gasket Seating Force [HG]:
= Wm1 - H
= 451 - 304
= 146.81 N.
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 432.0000 - 359.3228 ) / 2
= 36.3386 mm.
Distance to Face Pressure Reaction [ht]:
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= ( R + g1 + hg ) / 2
= ( 33.5000 + 26.0000 + 36.3386 ) / 2
= 47.9193 mm.
Distance to End Pressure Reaction [hd]:
= R + ( g1 / 2 )
= 33.5000 + ( 26.0000 / 2.0 )
= 46.5000 mm.
Summary of Moments for Internal Pressure:
Loading Force Distance Bolt Corr Moment
End Pressure, Md 231. 46.5000 1.0000 11. N.m.
Face Pressure, Mt 73. 47.9193 1.0000 4. N.m.
Gasket Load, Mg 147. 36.3386 1.0000 5. N.m.
Gasket Seating, Matm 347030. 36.3386 1.0000 12616. N.m.
Total Moment for Operation, Mop 20. N.m.
Total Moment for Gasket seating, Matm 12616. N.m.
Effective Hub Length, ho = sqrt(Bcor*goCor) 41.491 mm.
Hub Ratio, h/h0 = HL / H0 1.976
Thickness Ratio, g1/g0 = (g1Cor/goCor) 4.727
Flange Factors for Integral Flange:
Factor F per 2-7.2 0.515
Factor V per 2-7.3 0.021
Factor f per 2-7.6 1.000
Factors from Figure 2-7.1 K = 1.543
T = 1.692 U = 5.109
Y = 4.650 Z = 2.448
d = .30353E+06 mm. e = 0.0124 mm.^-1
Stress Factors ALPHA = 1.360
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BETA = 1.480 GAMMA = 0.804
DELTA = 0.080 Lamda = 0.884
Longitudinal Hub Stress, Operating [SHo]:
= ( f * Mop / Bcor ) / ( L * g1 )
= ( 1.0000 *19 / 313.0000 ) / ( 0.8842 *26.0000 )
= 0.10 N./mm
Longitudinal Hub Stress, Seating [SHa]:
= ( f * Matm / Bcor ) / ( L * g1 )
= ( 1.0000 * 12615 / 313.0000 ) / ( 0.8842 * 26.0000 )
= 67.41 N./mm
Radial Flange Stress, Operating [SRo]:
= ( Beta * Mop / Bcor ) / ( L * t )
= ( 1.4801 *19 / 313.0000 ) / ( 0.8842 *29.0000 )
= 0.12 N./mm
Radial Flange Stress, Seating [SRa]:
= ( Beta * Matm/Bcor ) / ( L * t )
= ( 1.4801 *12615 /313.0000 ) / ( 0.8842 *29.0000 )
= 80.20 N./mm
Tangential Flange Stress, Operating [STo]:
= ( Y * Mo / (t * Bcor) ) - Z * SRo
= ( 4.6495 *19 / (29.0000 *313.0000 ) ) - 2.4480 *0
= 0.04 N./mm
Tangential Flange Stress, Seating [STa]:
= ( y * Matm / (t * Bcor) ) - Z * SRa
= ( 4.6495 *12615 / (29.0000 *313.0000 ) ) - 2.4480 *80
= 26.43 N./mm
Average Flange Stress, Operating [SAo]:
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= ( SHo + max( SRo, STo ) ) / 2
= ( 0 + max( 0 , 0 ))/ 2
= 0.11 N./mm
Average Flange Stress, Seating [SAa]:
= ( SHa + max( SRa, STa ) ) / 2
= ( 67 + max( 80 , 26 ))/ 2
= 73.80 N./mm
Bolt Stress, Operating [BSo]:
= ( Wm1 / Ab )
= ( 451 / 3243.8643 )
= 0.14 N./mm
Bolt Stress, Seating [BSa]:
= ( Wm2 / Ab )
= ( 134946 / 3243.8643 )
= 41.60 N./mm
Stress Computation Results: Operating Gasket Seating
Actual Allowed Actual Allowed
Longitudinal Hub 0. 207. 67. 207. N./mm
Radial Flange 0. 138. 80. 138. N./mm
Tangential Flange 0. 138. 26. 138. N./mm
Maximum Average 0. 138. 74. 138. N./mm
Bolting 0. 172. 42. 172. N./mm
Minimum Required Flange Thickness 26.111 mm.
Estimated M.A.W.P. ( Operating ) 30.0 bars
Estimated M.A.W.P. ( Gasket Seating ) 42.2 bars
Estimated Finished Weight of Flange at given Thk. 39.7 kg.
Estimated Unfinished Weight of Forging at given Thk 97.5 kg.
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Flange Rigidity Based on Required Thickness [ASME]:
Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]:
= 52.14 * Ma * Cnv_fac * V / ( Lambda * Eamb * go2 * ho * Ki )
= 52.14 * 12615 * 999.645 * 0.021 / ( 0.801 * 199948 * 5.500 2
* 41.491 * 0.300 )
= 0.230 (should be
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Min Metal Temp. w/o impact per UCS-66 -29 C
Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.00] -104 C
PV Elite 2008 1993-2008 by COADE Engineering Software
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Flange Input Data Values Description: FLANGE :
Item: Node 40 to 50
Description of Flange Geometry (Type) Blind
Description of Flange Analysis Partial, Thickness
Design Pressure P 0.03 bars
Design Temperature 65 C
Internal Corrosion Allowance ci 3.0000 mm.
External Corrosion Allowance ce 0.0000 mm.
Use Corrosion Allowance in Thickness Calcs. Yes
Flange Outside Diameter A 482.600 mm.
Flange Thickness t 31.7500 mm.
Flange Material SA-105
Flange Allowable Stress At Temperature Sfo 137.90 N./mm
Flange Allowable Stress At Ambient Sfa 137.90 N./mm
Bolt Material SA-193 B7
Bolt Allowable Stress At Temperature Sb 172.37 N./mm
Bolt Allowable Stress At Ambient Sa 172.37 N./mm
Diameter of the Load Reaction, Long Span D 0.000 mm.
Diameter of the Load Reaction, Short Span d 0.000 mm.
Perimeter along the Center of the Bolts L 1356.540 mm.
Diameter of Bolt Circle C 431.800 mm.
Nominal Bolt Diameter dB 24.0000 mm.
Type of Threads TEMA Thread Series
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Number of Bolts 12
Flange Face Outside Diameter Fod 381.000 mm.
Flange Face Inside Diameter Fid 304.800 mm.
Flange Facing Sketch 1, Code Sketch 1a
Gasket Outside Diameter Go 381.000 mm.
Gasket Inside Diameter Gi 304.800 mm.
Gasket Factor m 2.0000
Gasket Design Seating Stress y 11.03 N./mm
Column for Gasket Seating 2, Code Column II
Gasket Thickness tg 3.0000 mm.
ASME Code, Section VIII, Division 1, 2007
Gasket Contact Width, N = (Go - Gi) / 2 38.100 mm.
Basic Gasket Width, bo = N / 2 19.050 mm.
Effective Gasket Width, b = sqrt(bo) / 2 10.999 mm.
Gasket Reaction Diameter, G = Go - 2 * b 359.003 mm.
Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G * Peq
= 0.785 * 359.0030 * 0.030
= 303.658 N.
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P +
= 2 * 10.9985 * 3.1416 * 359.0030 * 2.0000 * 0.03
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= 148.848 N.
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 303 + 148 + 0 , 0 )
= 452.506 N.
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 11.03*10.9985*3.141*359.003+0.00*0.0000*0.00
= 136815.703 N.
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
= Maximum of 452 / 172 , 136815 / 172
= 793.777 mm
Bolting Information for TEMA Imperial Thread Series (Non Mandatory):
-----------------------------------------------------------------------------
Minimum Actual Maximum
-----------------------------------------------------------------------------
Bolt Area, mm 793.777 3243.864
Radial distance bet. bolts and the edge 23.812 25.400
Circumferential spacing between bolts 52.400 111.758 113.450
-----------------------------------------------------------------------------
Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
= 3243.864 * 172.37 /(11.03 * 3.14 * (381.000 + 304.80 ) )
= 23.529 mm.
Flange Design Bolt Load, Gasket Seating [W]:
= Sa * ( Am + Ab ) / 2
= 172.37 * ( 793.7771 + 3243.8643 ) / 2
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= 347964.62 N.
Gasket Seating Force [HG]:
= Wm1
= 452.51 N.
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 431.8000 - 359.0030 ) / 2
= 36.3985 mm.
Tangential Flange Stress, Flat Head, Operating [STo]:
= 1.9 * Wm1 * hG * Bcor/(t * G) + C * Z * Peq * G/t
= 1.9 * 452 * 36.3985 * 1.0000 /(28.7500 * 359.0030 ) +
0.30 * 1.0000 * 0.03 * 359.0030 )/28.7500
= 0.25 N./mm
Tangential Flange Stress, Flat Head, Seating [STa]:
= 1.9 * W * hG * Bcor /(t * G)
= 1.9 * 347964 * 36.3985 * 1.000 /(28.7500 * 359.0030 )
= 81.10 N./mm
Bolt Stress, Operating [BSo]:
= ( Wm1 / Ab )
= ( 452 / 3243.8643 )
= 0.14 N./mm
Bolt Stress, Seating [BSa]:
= ( Wm2 / Ab )
= ( 136815 / 3243.8643 )
= 42.18 N./mm
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Stress Computation Results: Operating Gasket Seating
Actual Allowed Actual Allowed
Tangential Flange 0. 138. 81. 138. N./mm
Bolting 0. 172. 42. 172. N./mm
Reqd. Blind Flange Thickness at Center 25.048 mm.
Reqd. Blind Flange Thickness at Gasket 25.048 mm.
Estimated M.A.W.P. ( Operating ) 16.8 bars
Estimated Finished Weight of Flange at given Thk. 45.5 kg.
Estimated Unfinished Weight of Forging at given Thk 45.5 kg.
Minimum Design Metal Temperature Results:
Min Metal Temp. w/o impact per UCS-66 -29 C
Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.00] -104 C
PV Elite 2008 1993-2008 by COADE Engineering Software
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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| 0.030000 | 10.0000 | 3.00000 | 307.090 | 100.215 |
20| 30| 0.030000 | 8.35000 | 3.00000 | 307.090 | 100.215 |
30| 40| 0.030000 | 8.35000 | 3.00000 | 304.800 | 117.211 |
40| 50| 0.030000 | 32.0000 | 3.00000 | 482.600 | 117.211 |
Element Required Thickness and MAWP :
| | Design | M.A.W.P. | M.A.P. | Actual | Required |
From| To | Pressure | Corroded | New & Cold | Thickness | Thickness |
| | bars | bars | bars | mm. | mm. |
10| 20| 0.030000 | 34.1324 | 54.2038 | 8.35000 | 5.38125 |
20| 30| 0.030000 | 33.5609 | 52.7765 | 8.35000 | 5.38125 |
30| 40| 0.030000 | 29.9695 | 58.1736 | 32.0000 | 26.1112 |
40| 50| 0.030000 | 16.8301 | 20.5257 | 31.7500 | 25.0482 |
Minimum 16.830 19.650
MAWP: 0.033 bars, limited by: Nozzle Reinforcment.
Internal Pressure Calculation Results :
ASME Code, Section VIII, Division 1, 2007
Elliptical Head From 10 To 20 SA-234 WPB , UCS-66 Crv. B at 65 C
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Thickness Due to Internal Pressure [Tr]:
= (P*D*K)/(2*S*E-0.2*P) Appendix 1-4(c)
= (0.030*313.0900*3.00)/(2*117.90*0.85-0.2*0.030)
= 0.0047 + 3.0000 = 3.0047 mm.
Note: The thickness required was less than the Code Minimum, therefore
the Code Minimum value of 2.3812 mm. will be used.
Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:
= (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c)
= (2*117.90*0.85*5.3500)/(1.00*313.0900+0.2*5.3500)
= 34.132 bars
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (2*S*E*t)/(K*D+0.2*t) per Appendix 1-4 (c)
= (2*117.90*0.85*8.3500)/(1.00*307.0900+0.2*8.3500)
= 54.204 bars
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(K*D+0.2*t))/(2*E*t)
= (0.030*(1.00*313.0900+0.2*5.3500))/(2*0.85*5.3500)
= 0.104 N./mm
Required Thickness of Straight Flange = 3.005 mm.
Percent Elongation per UCS-79 (75*tnom/Rf)*(1-Rf/Ro) 13.913 %
Min Metal Temp. w/o impact per UCS-66 -29 C
Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.38] -48 C
Cylindrical Shell From 20 To 30 SA-106 B , UCS-66 Crv. B at 65 C
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Thickness Due to Internal Pressure [Tr]:
= (P*R)/(S*E-0.6*P) per UG-27 (c)(1)
= (0.030*156.5450)/(117.90*0.85-0.6*0.030)
= 0.0047 + 3.0000 = 3.0047 mm.
Note: The thickness required was less than the Code Minimum, therefore
the Code Minimum value of 2.3812 mm. will be used.
Max. Allowable Working Pressure at given Thickness, corroded [MAWP]:
= (S*E*t)/(R+0.6*t) per UG-27 (c)(1)
= (117.90*0.85*5.3500)/(156.5450+0.6*5.3500)
= 33.561 bars
Maximum Allowable Pressure, New and Cold [MAPNC]:
= (S*E*t)/(R+0.6*t) per UG-27 (c)(1)
= (117.90*0.85*8.3500)/(153.5450+0.6*8.3500)
= 52.777 bars
Actual stress at given pressure and thickness, corroded [Sact]:
= (P*(R+0.6*t))/(E*t)
= (0.030*(156.5450+0.6*5.3500))/(0.85*5.3500)
= 0.105 N./mm
Percent Elongation per UCS-79 (50*tnom/Rf)*(1-Rf/Ro) 2.647 %
Min Metal Temp. w/o impact per UCS-66 -29 C
Min Metal Temp. at Rqd thickness (UCS 66.1)[rat 0.38] -48 C
MINIMUM METAL DESIGN TEMPERATURE RESULTS :
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Minimum Metal Temp. w/o impact per UCS-66 -29. C
Minimum Metal Temp. at Required thickness -48. C
Note: Heads and Shells Exempted to -20F (-29C) by paragraph UG-20F
Minimum Design Metal Temperature ( Entered by User ) 8. C
Hydrostatic Test Pressure Results:
Pressure per UG99b = 1.3 * M.A.W.P. * Sa/S 0.043 bars
Pressure per UG99b[34] = 1.3 * Design Pres * Sa/S 0.039 bars
Pressure per UG99c = 1.3 * M.A.P. - Head(Hyd) 25.525 bars
Pressure per UG100 = 1.1 * M.A.W.P. * Sa/S 0.036 bars
Horizontal Hydrotest performed in accordance with: UG-99b
Stresses on Elements due to Hydrostatic Test Pressure:
From To Stress Allowable Ratio Pressure
10 20 0.2 153.3 0.001 0.07
20 30 0.2 153.3 0.001 0.07
Elements Suitable for Internal Pressure.
PV Elite 2008 1993-2008 by COADE Engineering Software
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External Pressure Calculation Results :
ASME Code, Section VIII, Division 1, 2007
Elliptical Head From 10 to 20 Ext. Chart: CS-2 at 0 C
Elastic Modulus from Chart: CS-2 at 149 C : 0.19995E+06 N./sq.mm.
Results for Maximum Allowable External Pressure (MAEP):
Tca OD D/t Factor A B
5.350 323.79 60.52 0.0022949 106.74
EMAP = B/(K0*D/t) = 106.7357 /(0.9000 *60.5215 ) = 19.5955 bars
Cylindrical Shell From 20 to 30 Ext. Chart: CS-2 at 0 C
Elastic Modulus from Chart: CS-2 at 149 C : 0.19995E+06 N./sq.mm.
Results for Maximum Allowable External Pressure (MAEP):
Tca OD SLEN D/t L/D Factor A B
5.350 323.79 777.59 60.52 2.4015 0.0011781 90.18
EMAP = (4*B)/(3*(D/t)) = (4*90.1762 )/(3*60.5215 ) = 19.8665 bars
Results for Maximum Stiffened Length (Slen):
Tca OD SLEN D/t L/D Factor A B
5.350 323.79 0.20E+34 60.52 .5000E+02 0.0003003 30.02
EMAP = (4*B)/(3*(D/t)) = (4*30.0234 )/(3*60.5215 ) = 6.6144 bars
External Pressure Calculations
| | Section | Outside | Corroded | Factor | Factor |
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From| To | Length | Diameter | Thickness | A | B |
| | mm. | mm. | mm. | | N./mm |
10| 20| No Calc | 323.790 | 5.35000 | 0.0022949 | 106.736 |
20| 30| 777.591 | 323.790 | 5.35000 | 0.0011781 | 90.1762 |
30| 40| No Calc | 0.00000 | 29.0000 | No Calc | No Calc |
40| 50| No Calc | 0.00000 | 28.7500 | 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| 8.35000 | No Calc | 0.00000 | 19.5955 |
20| 30| 8.35000 | No Calc | 0.00000 | 19.8665 |
30| 40| 32.0000 | 26.1112 | 0.00000 | No Calc |
40| 50| 31.7500 | 25.0482 | 0.00000 | No Calc |
Minimum 19.596
External Pressure Calculations
| | Actual Len.| Allow. Len.| Ring Inertia | Ring Inertia |
From| To | Bet. Stiff.| Bet. Stiff.| Required | Available |
| | mm. | mm. | in**4 | in**4 |
10| 20| No Calc | No Calc | No Calc | No Calc |
20| 30| 777.591 | 1.971E+33 | No Calc | No Calc |
30| 40| No Calc | No Calc | No Calc | No Calc |
40| 50| No Calc | No Calc | No Calc | No Calc |
Elements Suitable for External Pressure.
PV Elite 2008 1993-2008 by COADE Engineering Software
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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. | m | kg. | m | kg. |
10| 20| 14.4226 | 0.0086808 | 10.0958 | 0.0091003 | 0.72113 |
20| 30| 44.4668 | 0.050819 | 28.7617 | 0.052824 | 2.22334 |
30| 40| 39.6996 | 0.0085336 | 37.0904 | 0.0087733 | 1.98498 |
40| 50| 45.8535 | 0.00000 | 45.8535 | 0.00000 | 2.29268 |
---------------------------------------------------------------------------
Total 144 0 121 0 14
Weight of Details
| | Weight of | X Offset, | Y Offset, |
From|Type| Detail | Dtl. Cent. |Dtl. Cent. | Description
| | kg. | mm. | mm. |
10|Nozl| 2.76291 | 0.00000 | 6.39771 | C4
10|Nozl| 2.57501 | 0.00000 | 6.39771 | C5
10|Legs| 20.9802 | 0.00000 | -282.000 | LEGS
20|Nozl| 2.60900 | 166.245 | 575.000 | R1
20|Nozl| 2.60900 | 166.245 | 100.000 | R2
40|Nozl| 10.8151 | 0.00000 | 1080.00 | C1
40|Nozl| 1.76135 | 0.00000 | 1380.00 | C2
40|Nozl| 1.76135 | 0.00000 | 1080.00 | C3
40|Forc| 0.00000 | 0.00000 | 0.00000 | F/M:[1 of 1]
Total Weight of Each Detail Type
Total Weight of Nozzles 24.9
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Total Weight of Legs 21.0
---------------------------------------------------------------
Sum of the Detail Weights 45.9 kg.
Weight Summary
Fabricated Wt. - Bare Weight W/O Removable Internals 197.5 kg.
Shop Test Wt. - Fabricated Weight + Water ( Full ) 265.5 kg.
Shipping Wt. - Fab. Wt + Rem. Intls.+ Shipping App. 197.5 kg.
Erected Wt. - Fab. Wt + Rem. Intls.+ Insul. (etc) 197.5 kg.
Ope. Wt. no Liq - Fab. Wt + Intls. + Details + Wghts. 197.5 kg.
Operating Wt. - Empty Wt. + Operating Liquid (No CA) 197.5 kg.
Field Test Wt. - Empty Weight + Water (Full) 265.5 kg.
Mass of the Upper 1/3 of the Vertical Vessel 113.4 kg.
Outside Surface Areas of Elements
| | Surface |
From| To | Area |
| | mm |
10| 20| 183794. |
20| 30| 697810. |
30| 40| 251786. |
40| 50| 231438. |
-----------------------------
Total 1364828.000 mm
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 |
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| | kg. | kg. | kg. | N.m. | kg. |
10|Legs| 52.7557 | 52.7557 | 75.1017 | 0.00000 | 52.7557 |
Legs| 20| -32.2741 | -32.2741 | -45.9446 | 0.00000 | -32.2741 |
20| 30| 51.9081 | 51.9081 | 102.696 | 8.50981 | 51.9081 |
30| 40| 41.6846 | 41.6846 | 50.2130 | 0.00000 | 41.6846 |
40| 50| 62.4840 | 62.4840 | 62.4840 | 0.00000 | 62.4840 |
Cumulative Vessel Weight
| | Cumulative Ope | Cumulative | Cumulative |
From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. |
| | kg. | kg. | kg. |
10|Legs| -52.7557 | -52.7557 | -75.1017 |
Legs| 20| 123.803 | 123.803 | 169.448 |
20| 30| 156.077 | 156.077 | 215.393 |
30| 40| 104.169 | 104.169 | 112.697 |
40| 50| 62.4840 | 62.4840 | 62.4840 |
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.|
| | N.m. | N.m. | N.m. |
10|Legs| 0.00000 | 0.00000 | 0.00000 |
Legs| 20| 8.50981 | 8.50981 | 8.50981 |
20| 30| 8.50981 | 8.50981 | 8.50981 |
30| 40| 0.00000 | 0.00000 | 0.00000 |
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40| 50| 0.00000 | 0.00000 | 0.00000 |
PV Elite 2008 1993-2008 by COADE Engineering Software
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Nozzle Flange MAWP Results :
Flange Rating Operating Ambient Temperature Class Grade|Group
bars bars C
----------------------------------------------------------------------------
18.806 19.650 65 150 GR 1.1
----------------------------------------------------------------------------
Minimum Rating 18.806 19.650 bars
Note: ANSI Ratings are per ANSI/ASME B16.5 2003 Edition
PV Elite 2008 1993-2008 by COADE Engineering Software
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45
The Natural Frequencies for the vessel have been computed iteratively
by solving a system of matrices. These matrices describe the mass
and the stiffness of the vessel. This is the generalized eigenvalue/
eigenvector problem and is referenced in some mathematical texts.
The Natural Frequency for the Vessel (Empty.) is 33.9529 Hz.
The Natural Frequency for the Vessel (Ope...) is 33.9529 Hz.
PV Elite 2008 1993-2008 by COADE Engineering Software
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Forces/Moments Applied to Vessel (Combined w/Wind Loads)
| | X and Z Dir| X,Z Moment |
From| To | Force Res. | and For Res|
| | N. | N.m. |
10| 20| 0.00000 | 0.00000 |
20| 30| 0.00000 | 0.00000 |
30| 40| 0.00000 | 0.00000 |
40| 50| 0.00000 | 0.00000 |
Forces/Moments Applied to Vessel (Combined w/Seismic Loads)
| | X and Z Dir| X,Z Moment |
From| To | Force Res. | and For Res|
| | N. | N.m. |
10| 20| 0.00000 | 0.00000 |
20| 30| 0.00000 | 0.00000 |
30| 40| 0.00000 | 0.00000 |
40| 50| 0.00000 | 0.00000 |
User Input Forces and Moments:
From Distance ----- Forces --------- ------- Moments ------------
Node From Fx Fy Fz Mx My Mz
40
PV Elite 2008 1993-2008 by COADE Engineering Software
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Wind Analysis Results
Wind Load Results per ASCE-7 98/02/05:
Note: Per Section 1609 of IBC 2003/06 these results are also applicable
for the determination of Wind Loads on structures (1609.1.1).
User Entered Importance Factor is 1.000
Gust Effect Factor (Ope)(G or Gf) 0.800
User entered Beta Value ( Operating Case ) 0.0100
Shape Factor (Cf) 0.528
User Entered Basic Wind Speed 40.0 m/sec
Sample Calculation for the First Element
The ASCE code performs all calculations in Imperial Units
only. The wind pressure is therefore computed in these units.
Value of [Alpha] and [Zg]
Exposure Category = 2 (B) thus from Table C6-2:
Alpha = 7.000 : Zg = 365760.000 mm.
Effective Height [z]
= Centroid Hgt. + Vessel Base Elevation
= 83.336 + 0.000 = 83.336 mm.
= 0.273 ft. Imperial Units
Compute [Kz]
Because z (0.273 ft.) < 15 ft.
= 2.01 * ( 15 / Zg ) 2 / Alpha
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= 2.01 * ( 15 / 1200.000 )2 / 7.000
= 0.575
Type of Hill: No Hill
Directionality Factor for round structures [Kd]:
= 0.95 per [6-6 ASCE-7 98][6-4 ASCE-7 02/05]
As there is No Hill Present: [Kzt]
K1 = 0, K2 = 0, K3 = 0
Topographical Factor [Kzt]
= ( 1 + K1 * K2 * K3 )
= ( 1 + 0.000 * 0.000 * 0.000 )
= 1.0000
Basic Wind Pressure, Imperial Units [qz]:
= 0.00256 * Kz * Kzt * Kd * I * Vr(mph)
= 0.00256 * 0.575 * 1.000 * 0.950 * 1.000 * 89.479
= 11.191 psf [535.811 ] N./m
Force on the first element [F]:
= qz * Gh * Cf * WindArea
= 535.811 * 0.800 * 0.528 * 51620.574
= 11.676 N.
Element Hgt (z) K1 K2 K3 Kz Kzt qz
mm. N./m
---------------------------------------------------------------------------
Node 10 to 20 83.3 0.000 0.000 0.000 0.575 1.000 535.811
Node 20 to 30 485.8 0.000 0.000 0.000 0.575 1.000 535.811
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Node 30 to 40 885.8 0.000 0.000 0.000 0.575 1.000 535.811
Node 40 to 50 958.6 0.000 0.000 0.000 0.575 1.000 535.811
Wind Vibration Calculations
This evaluation is based on work by Kanti Mahajan and Ed Zorilla
Nomenclature
Cf - Correction factor for natural frequency
D - Average internal diameter of vessel mm.
Df - Damping Factor < 0.75 Unstable, > 0.95 Stable
Dr - Average internal diameter of top half of vessel mm.
f - Natural frequency of vibration (Hertz)
f1 - Natural frequency of bare vessel based on a unit value of (D/L)(104)
L - Total height of structure mm.
Lc - Total length of conical section(s) of vessel mm.
tb - Uncorroded plate thickness at bottom of vessel mm.
V30 - Design Wind Speed provided by user m/sec
Vc - Critical wind velocity m/sec
Vw - Maximum wind speed at top of structure m/sec
W - Total corroded weight of structure N.
Ws - Cor. vessel weight excl. weight of parts which do not effect stiff. N.
Z - Maximum amplitude of vibration at top of vessel mm.
Dl - Logarithmic decrement ( taken as 0.03 for Welded Structures )
Vp - Vib. Chance,
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0.000 / 897.750 = 0.000
#2 - ( D / L ) * 104 < 8.0 (English Units)
- ( 1.11 / 2.95 ) * 104 = 1275.874 [Geometry Violation]
Compute the vibration possibility. If Vp > 0.393E-05 no chance. [Vp]:
= W / ( L * Dr)
= 1703 / ( 897.75 * 324.923 )
= 0.000
Since Vp is > 0.393E-05 no further vibration analysis is required !
The Natural Frequency for the Vessel (Ope...) is 33.9529 Hz.
Wind Load Calculation
| | Wind | Wind | Wind | Height | Element |
From| To | Height | Diameter | Area | Factor | Wind Load |
| | mm. | mm. | mm | N./m | N. |
10| 20| 83.3365 | 388.548 | 51620.6 | 535.811 | 11.6758 |
20| 30| 485.772 | 388.548 | 266544. | 535.811 | 60.2884 |
30| 40| 885.773 | 442.560 | 50451.8 | 535.811 | 11.4115 |
40| 50| 958.648 | 655.320 | 20806.4 | 535.811 | 4.70611 |
PV Elite 2008 1993-2008 by COADE Engineering Software
PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Earthquake Load Calculation Step: 12 2:21p May 27,2008
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Note: Loads multiplied by the Scalar multiplier value of 0.7143
Earthquake Analysis Results per UBC 1997
The UBC Zone Factor for the Vessel is ............. 0.2000
The Importance Factor as Specified by the User is . 1.250
The UBC Force Factor as Specified by the User is .. 2.000
The UBC Total Weight (W) for the Vessel is ........ 1731.3 N.
The UBC Total Shear (V) for the Vessel is ......... 389.6 N.
The UBC Top Shear (Ft) for the Vessel is .......... 0.0 N.
The UBC Seismic Coefficient Value Ca is ........... 0.360
The UBC Seismic Coefficient Value Cv is ........... 0.840
Note: The base shear and top load printed above have been modified
by the user defined Earthquake scalar.
Calculation Steps for Computing the design Base Shear (V) per UBC 1997
Computation of V per equation (34-1):
V = 0.7 * Ca * I * W
V = 0.7 * 0.360 * 1.250 * 1731
V = 545.4 N.
Computation of V per equation (30-5):
V = 2.5 * Ca * I * W / R
V = 2.5 * 0.360 * 1.25 * 1731 / 2.000
V = 973.9 N.
The computed base shear is the minimum of V from 34-1 and 30-5.
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Computation of V per equation (34-2), minimum V. V cannot be less than
this value !
V = 0.56 * Ca * I * W
V = 0.56 * 0.360 * 1.250 * 1731
V = 436.3 N.
Total Adjusted Base Shear V:
= V * Scalar Multiplier = 545.4 * 0.7143 = 389.6 N.
Next compute the top load per equation 30-14. The top load is
zero if the period of vibration (T) is less than 0.7 seconds.
Note: This value does not need to exceed 0.25V.
Ft = Min( 0.07 * T * V, 0.25 * V )
Ft = Min( 0.07 * 0.029 * 545 , 0.25 * 545 )
Ft = 0.0 N.
Next Sum the earthquake weights times their heights (wi*hi):
Current Sum = Prev. Sum + Wght 517. * Hght -104.000 = -54.
Current Sum = Prev. Sum + Wght -316. * Hght -19.000 = -48.
Current Sum = Prev. Sum + Wght 509. * Hght 409.000 = 160.
Current Sum = Prev. Sum + Wght 409. * Hght 809.000 = 491.
Current Sum = Prev. Sum + Wght 613. * Hght 881.875 = 1032.
Compute the load at each level based on equation 30-15 and multiply
by the load case scalar. The sum will be the total adjusted shear.
Fx = (( V - Ft ) * wx * hx / ( sum of ( wi * hi ))) * EqFact
Fx = [(545.) * 517. * -104.000 / 1032.]*0.7143 = -20.
Fx = [(545.) * -316. * -19.000 / 1032.]*0.7143 = 2.
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Fx = [(545.) * 509. * 409.000 / 1032.]*0.7143 = 79.
Fx = [(545.) * 409. * 809.000 / 1032.]*0.7143 = 125.
Fx = [(545.) * 613. * 881.875 / 1032.]*0.7143 = 204.
The Natural Frequency for the Vessel (Ope...) is 33.9529 Hz.
Earthquake Load Calculation
| | Earthquake | Earthquake | Element | Element |
From| To | Height | Weight | Ope Load | Emp Load |
| | mm. | N. | N. | N. |
10|Legs| -104.000 | 517.323 | -20.3202 | -20.3202 |
Legs| 20| -19.0000 | -316.480 | 2.27109 | 2.27109 |
20| 30| 409.000 | 509.011 | 78.6293 | 78.6293 |
30| 40| 809.000 | 408.759 | 124.896 | 124.896 |
40| 50| 881.875 | 612.718 | 204.081 | 204.081 |
Top Load 1631.75 0 0
PV Elite 2008 1993-2008 by COADE Engineering Software
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Bending Moments due to user defined forces and moments.
User Force/Moment Shear and Bending
| | Distance to| Cummulative|Cumulative | Wind | Earthquake |
From| To | Support|Shr Wind Cas|Shr Eqk Cas| Bending | Bending |
| | mm. | N. | N. | N.m. | N.m. |
10|Legs| 85.0000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 |
Legs| 20| 52.0000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 |
20| 30| 239.000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 |
30| 40| 639.000 | 0.00000 | 0.00000 | 0.00000 | 0.00000 |
40| 50| 711.875 | 0.00000 | 0.00000 | 0.00000 | 0.00000 |
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The following table is for the Operating Case.
Wind/Earthquake Shear, Bending
| | Distance to| Cummulative|Earthquake | Wind | Earthquake |
From| To | Support| Wind Shear| Shear | Bending | Bending |
| | mm. | N. | N. | N.m. | N.m. |
10|Legs| 85.0000 | -58.0077 | -409.877 | 2.55734 | 1.72792 |
Legs| 20| 52.0000 | 58.0077 | 409.877 | 23.4609 | 242.370 |
20| 30| 239.000 | 76.4060 | 407.606 | 33.0106 | 286.388 |
30| 40| 639.000 | 16.1176 | 328.977 | 1.26217 | 33.6377 |
40| 50| 711.875 | 4.70611 | 204.081 | 0.074740 | 3.24110 |
PV Elite 2008 1993-2008 by COADE Engineering Software
PV Elite 2008 Licensee: MEFCO ENGINEERING PVT. LTD.,. FileName : v-21302 --------------------------------------- Wind Deflection Step: 15 2:21p May 27,2008
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Wind Deflection Calculations:
The following table is for the Operating Case.
Wind Deflection
| | Cumulative | Centroid | Elem. End | Elem. Ang. |
From| To | Wind Shear | Deflection |Deflection | Rotation |
| | N. | mm. | mm. | |
10|Legs| -58.0077 | 0.12485 | 0.12485 | 0.00020716 |
Legs| 20| 58.0077 | 0.12485 | 0.12486 | 0.00020694 |
20| 30| 76.4060 | 0.12489 | 0.12504 | 0.00020763 |
30| 40| 16.1176 | 0.12506 | 0.12509 | 0.00020763 |
40| 50| 4.70611 | 0.12510 | 0.12511 | 0.00020763 |
Critical Wind Velocity for Tower Vibration
| | 1st Crit. | 2nd Crit. |
From| To | Wind Speed | Wind Speed |
| | m/sec | m/sec |
10| 20| 65.7844 | 411.152 |
20| 30| 65.7844 | 411.152 |
30| 40| 74.9290 | 468.306 |
40| 50| 110.951 | 693.444 |
Allowable deflection at the Tower Top (Ope)( 6.000"/100ft. Criteria)
Allowable deflection : 4.489 Actual Deflection : 0.125 mm.
PV Elite 2008 1993-2008 by COADE Engineering Software
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Longitudinal Stress Constants
| | Metal Area | Metal Area |New & Cold | Corroded |
From| To | New & Cold | Corroded |Sect. Mod. | Sect. Mod. |
| | mm | mm | mm. | mm. |
10| 20| 8274.72 | 5352.19 | 636161. | 419166. |
20| 30| 8274.72 | 5352.19 | 636161. | 419166. |
30| 40| 8274.72 | 5352.19 | 636161. | 419166. |
40| 50| 8274.72 | 5352.19 | 636161. | 419166. |
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Longitudinal Allowable Stresses
| | All. Str. | All. Str. | All. Str. | All. Str. |
From| To | Long. Ten. | Hydr. Ten. |Long. Com. | Hyr. Comp. |
| | N./mm | N./mm | N./mm | N./mm |
10|Legs| 120.258 | 156.336 | -140.343 | -182.937 |
Legs| 20| 120.258 | 156.336 | -140.343 | -182.937 |
20| 30| 120.258 | 156.336 | -140.343 | -182.937 |
30| 40| 140.653 | 182.849 | -140.343 | -182.937 |
40| 50| 140.653 | 182.849 | -140.343 | -182.937 |
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Longitudinal Stress Report
Note: Longitudinal Operating and Empty Stresses are computed in the
corroded condition. Stresses due to loads in the hydrostatic test
cases have been computed in the new and cold condition.
Longitudinal Stresses Due to . . .
| | Long. Str. | Long. Str. |Long. Str. |
From| To | Int. Pres. | Ext. Pres. |Hyd. Pres. |
| | N./mm | N./mm | N./mm |
10| 20| 0.043291 | 0.00000 | 0.038588 |
20| 30| 0.043291 | 0.00000 | 0.038588 |
30| 40| 0.00000 | 0.00000 | 0.00000 |
40| 50| 0.00000 | 0.00000 | 0.00000 |
Longitudinal Stresses Due to . . .
| | Wght. Str. | Wght. Str. |Wght. Str. | Wght. Str. | Wght. Str. |
From| To | Empty | Operating |Hydrotest | Emp. Mom. | Opr. Mom. |
| | N./mm | N./mm | N./mm | N./mm | N./mm |
10|Legs| 0.096661 | 0.096661 | 0.00000 | 0.00000 | 0.00000 |
Legs| 20| -0.22684 | -0.22684 | 0.00000 | 0.020295 | 0.020295 |
20| 30| -0.28597 | -0.28597 | 0.00000 | 0.020295 | 0.020295 |
30| 40| -0.19086 | -0.19086 | 0.00000 | 0.00000 | 0.00000 |
40| 50| -0.11449 | -0.11449 | 0.00000 | 0.00000 | 0.00000 |
Longitudinal Stresses Due to . . .
| | Wght. Str. | Bend. Str. |Bend.