v-8304 _r0

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Table of Contents Cover Sheet................................................................. 2 Title Page.................................................................. 3 Warnings and Errors :....................................................... 4 Input Echo :................................................................ 5 XY Coordinate Calculations :............................................... 12 Internal Pressure Calculations :........................................... 13 External Pressure Calculations :........................................... 19 Element and Detail Weights :............................................... 22 Nozzle Flange MAWP :....................................................... 25 Natural Frequency Calculation :............................................ 26 Wind/Earthquake Shear, Bending :........................................... 27 Longitudinal Stress Constants :............................................ 28 Longitudinal Allowable Stresses :.......................................... 29 Longitudinal Stresses Due to . . . :.......................................30 Stress due to Combined Loads :............................................. 32 Center of Gravity Calculation :............................................ 37 Sup. Lug Calcs: Ope :...................................................... 38 Sup. Lug Calcs: Test :..................................................... 45 Nozzle Calcs. : N2......................................................... 54 Nozzle Calcs. : N9......................................................... 57 Nozzle Calcs. : M.......................................................... 60 Nozzle Calcs. : N1......................................................... 63 Nozzle Calcs. : N3......................................................... 66 Nozzle Calcs. : N4......................................................... 69 Nozzle Calcs. : N5......................................................... 72 Nozzle Calcs. : N6......................................................... 75 Nozzle Calcs. : N7......................................................... 78 Nozzle Calcs. : N8......................................................... 81 Nozzle Calcs. : N10........................................................ 84 Nozzle Calcs. : N11........................................................ 87 Nozzle Calcs. : N12........................................................ 90 Nozzle Calcs. : N13........................................................ 93 Nozzle Calcs. : N14........................................................ 96 Nozzle Schedule :.......................................................... 99 Nozzle Summary :.......................................................... 101 Vessel Design Summary :................................................... 112

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Page 1: V-8304 _R0

Table of Contents

Cover Sheet...........................................................................................................................................................2Title Page..............................................................................................................................................................3Warnings and Errors :....................................................................................................................................4Input Echo :.........................................................................................................................................................5XY Coordinate Calculations :.................................................................................................................12Internal Pressure Calculations :........................................................................................................13External Pressure Calculations :........................................................................................................19Element and Detail Weights :.................................................................................................................22Nozzle Flange MAWP :....................................................................................................................................25Natural Frequency Calculation :..........................................................................................................26Wind/Earthquake Shear, Bending :........................................................................................................27Longitudinal Stress Constants :..........................................................................................................28Longitudinal Allowable Stresses :.....................................................................................................29Longitudinal Stresses Due to . . . :..............................................................................................30Stress due to Combined Loads :............................................................................................................32Center of Gravity Calculation :..........................................................................................................37Sup. Lug Calcs: Ope :..................................................................................................................................38Sup. Lug Calcs: Test :...............................................................................................................................45Nozzle Calcs. : N2.........................................................................................................................................54Nozzle Calcs. : N9.........................................................................................................................................57Nozzle Calcs. : M...........................................................................................................................................60Nozzle Calcs. : N1.........................................................................................................................................63Nozzle Calcs. : N3.........................................................................................................................................66Nozzle Calcs. : N4.........................................................................................................................................69Nozzle Calcs. : N5.........................................................................................................................................72Nozzle Calcs. : N6.........................................................................................................................................75Nozzle Calcs. : N7.........................................................................................................................................78Nozzle Calcs. : N8.........................................................................................................................................81Nozzle Calcs. : N10......................................................................................................................................84Nozzle Calcs. : N11......................................................................................................................................87Nozzle Calcs. : N12......................................................................................................................................90Nozzle Calcs. : N13......................................................................................................................................93Nozzle Calcs. : N14......................................................................................................................................96Nozzle Schedule :...........................................................................................................................................99Nozzle Summary :...........................................................................................................................................101Vessel Design Summary :...........................................................................................................................112

Page 2: V-8304 _R0

Cover Page

DESIGN CALCULATION

In Accordance with European Code EN-13445

Analysis Performed by : ZISHAN ENGINEERS (PVT.) LTD.

Job File : D:\LPT\OW-02.03.2013\OW\HDM\08 PED\V-8304-5\RO\V

Date of Analysis : Aug 24,2014

PV Elite 2013, January 2013

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Title Page 3

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Warnings and Errors : Step: 0 5:35p Aug 24,2014

Class From To : Basic Element Checks. ==========================================================================

Class From To: Check of Additional Element Data ==========================================================================

There were no geometry errors or warnings.

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

PV Elite Vessel Analysis Program: Input Data

Design Internal Pressure (for test) 0.5000 bars Design Internal Temperature 100 °C Test Position Vertical Projection of Nozzle from Vessel Top 200.00 mm. Projection of Nozzle from Vessel Bottom 200.00 mm. Minimum Design Metal Temperature -29 °C Miscellaneous Weight Percent 0.0 Use Higher Longitudinal Stresses (Flag) Y Select t for Internal Pressure (Flag) Y Select t for External Pressure (Flag) Y Select t for Axial Stress (Flag) N Consider Vortex Shedding N Perform a Corroded Pressure test N Is this a Heat Exchanger No User Defined Test 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 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 No Seismic

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

Complete Listing of Vessel Elements and Details:

Element From Node 10

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

Element To Node 20 Element Type Torisphe. Description Bottom head Distance "FROM" to "TO" 50.000 mm. Inside Diameter 2450.0 mm. Element Thickness 6.0000 mm. Internal Corrosion Allowance 0.0000 mm. Nominal Thickness 8.0000 mm. External Corrosion Allowance 0.0000 mm. Design Internal Pressure 0.5000 bars Design Temperature Internal Pressure 100 °C Design External Pressure 0.3000 bars Design Temperature External Pressure 100 °C Effective Diameter Multiplier 1.2 Material Name X5CrNi18-10, EN10028-7:2007 Allowable Stress, Ambient 180.01 N./mm^2 Allowable Stress, Operating 150.01 N./mm^2 Material Density 0.007840 kg./cm^3 Efficiency, Longitudinal Seam 0.7 Efficiency, Circumferential Seam 0.7 Tori Head Crown Radius 2450.0 mm. Tori Head Knuckle Radius 245.00 mm.

Element From Node 10 Detail Type Liquid Detail ID LIQ Dist. from "FROM" Node / Offset dist -474.21 mm. Height/Length of Liquid 524.21 mm. Liquid Density 0.0009996 kg./cm^3

Element From Node 10 Detail Type Nozzle Detail ID N2 Dist. from "FROM" Node / Offset dist 0.0000 mm. Nozzle Diameter 4.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 0.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8695 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

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

Element From Node 20 Element To Node 30 Element Type Cylinder Description Shell Distance "FROM" to "TO" 2350.0 mm. Inside Diameter 2450.0 mm. Element Thickness 6.0000 mm. Internal Corrosion Allowance 0.0000 mm. Nominal Thickness 6.0000 mm. External Corrosion Allowance 0.0000 mm. Design Internal Pressure 0.5000 bars

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

Design Temperature Internal Pressure 100 °C Design External Pressure 0.3000 bars Design Temperature External Pressure 100 °C Effective Diameter Multiplier 1.2 Material Name X5CrNi18-10, EN10028-7:2007 Efficiency, Longitudinal Seam 0.7 Efficiency, Circumferential Seam 0.7

Element From Node 20 Detail Type Liquid Detail ID LIQ Dist. from "FROM" Node / Offset dist 0.0000 mm. Height/Length of Liquid 2350.0 mm. Liquid Density 0.0009996 kg./cm^3

Element From Node 20 Detail Type Nozzle Detail ID N9 Dist. from "FROM" Node / Offset dist 280.00 mm. Nozzle Diameter 2.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 0.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8547 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 20 Detail Type Lug Detail ID SUPPORT LUG Dist. from "FROM" Node / Offset dist 1500.0 mm. Number of Lugs 4 Dist. from OD to Lug Cntrline(dlug) 350.00 mm. Height of Gusset Plates (hgp) 450.00 mm. Force Bearing Width (wfb) 200.00 mm. Weight of Lug 13.608 Kgf Lug Start Angle (degrees) 0.0

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

Element From Node 30 Element To Node 40 Element Type Torisphe. Description Top head Distance "FROM" to "TO" 50.000 mm. Inside Diameter 2450.0 mm. Element Thickness 6.0000 mm. Internal Corrosion Allowance 0.0000 mm. Nominal Thickness 8.0000 mm. External Corrosion Allowance 0.0000 mm. Design Internal Pressure 0.5000 bars Design Temperature Internal Pressure 100 °C Design External Pressure 0.3000 bars Design Temperature External Pressure 100 °C Effective Diameter Multiplier 1.2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

Material Name X5CrNi18-10, EN10028-7:2007 Efficiency, Longitudinal Seam 0.7 Efficiency, Circumferential Seam 0.7 Tori Head Crown Radius 2450.0 mm. Tori Head Knuckle Radius 245.00 mm.

Element From Node 30 Detail Type Liquid Detail ID LIQ Dist. from "FROM" Node / Offset dist 0.0000 mm. Height/Length of Liquid 524.21 mm. Liquid Density 0.0009996 kg./cm^3

Element From Node 30 Detail Type Nozzle Detail ID M Dist. from "FROM" Node / Offset dist 800.00 mm. Nozzle Diameter 24.0 in. Nozzle Schedule None Nozzle Class 10 Layout Angle 0.0 Blind Flange (Y/N) Y Weight of Nozzle ( Used if > 0 ) 177.93 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N1 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 3.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 40.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 30.303 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N3 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 2.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 60.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 50.516 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N4 Dist. from "FROM" Node / Offset dist 850.00 mm.

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

Nozzle Diameter 6.0 in. Nozzle Schedule 80S Nozzle Class 10 Layout Angle 90.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8695 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N5 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 2.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 120.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 37.526 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N6 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 1.0 in. Nozzle Schedule 80S Nozzle Class 10 Layout Angle 140.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8547 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N7 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 2.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 160.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 14.424 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N8 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 1.0 in. Nozzle Schedule 80S Nozzle Class 10 Layout Angle 180.0

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 1.7228 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N10 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 1.0 in. Nozzle Schedule 80S Nozzle Class 10 Layout Angle 200.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 1.7228 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N11 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 3.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 220.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8695 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N12 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 1.0 in. Nozzle Schedule 80S Nozzle Class 10 Layout Angle 240.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 8.1104 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Nozzle Detail ID N13 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 2.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 260.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8695 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Input Echo : Step: 1 5:35p Aug 24,2014

Element From Node 30 Detail Type Nozzle Detail ID N14 Dist. from "FROM" Node / Offset dist 850.00 mm. Nozzle Diameter 3.0 in. Nozzle Schedule 40S Nozzle Class 10 Layout Angle 280.0 Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 3.8547 Kgf Grade of Attached Flange 6E0 Nozzle Matl X5CrNi18-10

Element From Node 30 Detail Type Weight Detail ID AGITATOR Dist. from "FROM" Node / Offset dist 0.0000 mm. Miscellaneous Weight 200.00 Kgf Offset from Element Centerline 0.0000 mm.

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------XY Coordinate Calculations : Step: 2 5:35p Aug 24,2014

XY Coordinate Calculations

| | | | | | From| To | X (Horiz.)| Y (Vert.) |DX (Horiz.)| DY (Vert.) | | | mm. | mm. | mm. | mm. | -------------------------------------------------------------- Bottom hea| ... | 50.0000 | ... | 50.0000 | Shell| ... | 2400.00 | ... | 2350.00 | Top head| ... | 2450.00 | ... | 50.0000 |

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Internal Pressure Calculations : Step: 3 5:35p Aug 24,2014

Element Properties:

| | Int. Press | Nominal | Total Corr| Element | Allowable | From| To | + Liq. Hd | Thickness | Allowance | Diameter | Stress(SE)| | | bars | mm. | mm. | mm. | N./mm^2 | --------------------------------------------------------------------------- Bottom hea| 0.8331 | 8.0000 | ... | 2450.0 | 105.01 | Shell| 0.7817 | 6.0000 | ... | 2450.0 | 105.01 | Top head| 0.5514 | 8.0000 | ... | 2450.0 | 105.01 |

Calculation Results:

| | Design | M.A.W.P. | M.A.P. | Minimum | Required | From| To | Pressure | Corroded | New & Cold | Thickness | Thickness | | | bars | bars | bars | mm. | mm. | ---------------------------------------------------------------------------- Bottom hea| 0.50000 | 1.94253 | 2.27564 | 6.00000 | 3.07068 | Shell| 0.50000 | 4.84854 | 6.15621 | 6.00000 | 0.91236 | Top head| 0.50000 | 1.40675 | 1.74397 | 6.00000 | 2.72027 | Minimum 1.407 1.744

MAWP: 1.407 bars, limited by: Top head.

Internal Pressure Calculation Results :

European Std: EN 13445-3: 2009(E) Issue 1 (2009-07)

Torispherical Head From 10 To 20 X5CrNi18-10 at 100 °C

Bottom head

Design Stress at Ambient Temperature = 180.006 N./mm^2

Required thickness = 3.071 mm. Required thickness in the crown = 0.972 mm.

This is not a Korbbogen, Kloepper or Elliptical HeadTreated as a Torispherical Head (Korbbogen if nozzle is outside 80%)

The Material is Austenitic Steel which affects value of fb:

Buckling Strs at ope. fb = Yield/1.5 = 157.029/1.5 = 104.686 N./mm^2 Buckling Strs at amb. fb = Yield/1.5 = 260.009/1.5 = 173.339 N./mm^2Although head is Austenititic Steel, Rp0,20% is used

Geometry factors per EN13445 7.5.3.5: - Design Condition:

Pressure including hydro head P : 0.8331 bars Inside Head Diameter (new) Di : 2450.0000 mm. Head Crown Radius (new) R : 2450.0000 mm. Head Knuckle Radius (new) r : 245.0000 mm. Head Thickness (new) e : 6.0000 mm.

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Internal Pressure Calculations : Step: 3 5:35p Aug 24,2014

Head Corrosion Allowance Internal ci : 0.0000 mm. Head Corrosion Allowance External co : 0.0000 mm. Joint Efficiency Z : 0.7000

Inside Corroded Head Depth [h]: = L - Sqrt( ( L - Di / 2) * ( L + Di / 2 - 2 * r ) ) = 2450.00 -Sqrt((2450.00 -2450.00/2)*(2450.00 +2450.00/2-2*245.00 )) = 474.747 mm.

Y = Min(e/R, 0.04) = Min(3.07068/2450.0000, 0.04) = 0.0012533 Z = Log10(1 / Y) = Log10(1 / 0.001) = 2.9019 X = r / Di = 245.0000 / 2450.0000 = 0.10000 N = 1.006 - 1 / ( 6.2+( 90 * Y )^4) ) = 1.006-1 / (6.2+( 90*0.0013)^4) = 0.84471

Beta06 = N(-0.3635*Z^3 + 2.2124*Z^2 - 3.2937*Z + 1.8873) = 0.845 (-0.363*2.902^3 + 2.2124*2.902^2 - 3.2937*2.902 + 1.8873) = 1.7546

Beta01 = N( -0.1833*Z^3 + 1.0383*Z^2 - 1.2943*Z + 0.837 ) = 0.845 (-.1833*2.902^3 + 2.2124*2.902^2 - 3.2937*2.902 + 1.8873) = 1.1364

Beta = 25.0 * ( ( 0.1 - X1 ) * Beta06 + ( X1 - 0.06 ) * Beta01 = 25 * ( ( 0.1 - 0.100 ) * 1.755 + ( 0.100 - 0.06 ) * 1.136 = 1.1364

Thickness Due to Design Internal Pressure: e = Max(es, ey, eb) - para 7.5.3.2

Required Crown Thickness due to Internal Pressure, see Figure 7.5-3 [es]: = P * R/( 2 * f * z - 0.5 * P ) = 0.833 * 2450.0/( 2 * 1499.993 * 0.70 - 0.5 * 0.833 ) = 0.9722 mm.

ey = Beta*P(0.75*R+0.2*Di)/f =1.14*0.8(0.75*2450.0+0.2*2450.0)/ 1499.9933 = 1.4691 mm. eb = (0.75R+0.2Di)((P/111*fb)*(Di/r)0.825)1/1.5

= (0.75*2450.00+0.2*2450.00) * (0.83/111 *104.69)(2450.00/245.00)0.825)1/1.5

= 3.0707 mm.

Computed Head Thickness per EN13445 - 7.5.3: = Max(es,eb,ey)+c+cext = Max(0.9722,3.0707,1.4691) + 0.0000 + 0.0000 = 3.0707 + 0.0000 +0.0000 = 3.0707 mm.

The head is suitable for the design pressure.

Actual stress at design pressure cannot be computedbecause the thickness for buckling pressure controls.

Computed Maximum Allowable Working Pressure - Design [MAWP]: MAWP - Phydro = 2.2756 - 0.3331 = 1.9425 bars

Computed Maximum Pressure New and Cold [MAPNC]: = 2.276 bars

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Internal Pressure Calculations : Step: 3 5:35p Aug 24,2014

Uncorrected (for liquid) Hydrotest Pressure: = 2.277 bars

The hydrotest pressure is controlled by the buckling stress fb and cannotbe a higher pressure. That is why MAPNC is the same as hydrotest pressure

Elongation of the extreme fiber: For a spun head per EN 13445-4 Para 9.2.1 [F]: Assuming the blank is 20% larger than the head diameter = 100 * ln( 2959.200/( 2450.000 - 2 * 8.000 ) ) = 18.883 %

For a segmented head per EN 13445-4 Para 9.2.5 [F]: = 100 * e/R = 100 * 0.315/48.386 = 0.651 %

If F exceeds 5% PWHT may be required. Please referto EN 13445 Part 4 Table 9.4.1

Required Thickness of Straight Flange = 0.972 mm.

Cylindrical Shell From 20 To 30 X5CrNi18-10 at 100 °C

Shell

Design Stress at Ambient Temperature = 180.006 N./mm^2

Thickness due to internal pressure [e]: = P * Di / ( 2 * f * z - P ) EN13445 Equation: 7.4.2: = 0.78 * 2450.00/( 2 * 150.008 * 0.700 - 0.078 ) + c + cext = 0.9124 + 0.0000 + 0.0000 = 0.9124 mm.

The shell is suitable for the design pressure.

Maximum Working Pressure Hot and Corroded [MAWP]: = ( 2 * f * ecor * z ) / (Di + ecor) - Phead = ( 2 * 150.01 * 6.0000 * 0.700 )/(2450.00 + 6.0000 )-0.28 = 0.485 N./mm^2

Maximum Pressure New and Cold [MAPNC]: = ( 2 * fa * e * z ) / ( D + e ) = ( 2 * 180.01 * 6.00 * 0.700 )/( 2450.00 + 6.00 ) = 0.616 N./mm^2

Stress at Design Pressure [Stres]: = P( Di + ecor ) /(2 * ecor * z) = 0.782 (2450.000 + 6.0000 )/(2 * 6.0000 * 0.700 ) = 22.858 N./mm^2

Uncorrected (for liquid) Hydrotest Pressure per 6.2.2 stress limitation: = ( 2 * Ftest * e * z ) / (Di + e) = ( 2 * 247.63 * 6.00 * 0.700 )/( 2450.00 + 6.00 ) = 0.847 N./mm^2

Elongation of the extreme fiber per EN 13445-4 Para 9.2.2 [F] = 50*Max(e, enom)/Rm = 50*Max(6.000 ,6.000 )/1228.000 = 0.244 %

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Internal Pressure Calculations : Step: 3 5:35p Aug 24,2014

Torispherical Head From 30 To 40 X5CrNi18-10 at 100 °C

Top head

Design Stress at Ambient Temperature = 180.006 N./mm^2

Required thickness = 2.720 mm. Required thickness in the crown = 0.638 mm.

Note: This head has a nozzle located outside the 80% diameter limit! This modifies the value of Beta (Beta_k) per paragraph 7.7.3.

This is not a Korbbogen, Kloepper or Elliptical HeadTreated as a Torispherical Head (Korbbogen if nozzle is outside 80%)

The Material is Austenitic Steel which affects value of fb:

Buckling Strs at ope. fb = Yield/1.5 = 157.029/1.5 = 104.686 N./mm^2 Buckling Strs at amb. fb = Yield/1.5 = 260.009/1.5 = 173.339 N./mm^2Although head is Austenititic Steel, Rp0,20% is used

Geometry factors per EN13445 7.5.3.5: - Design Condition:

Pressure including hydro head P : 0.5465 bars Inside Head Diameter (new) Di : 2450.0000 mm. Head Crown Radius (new) R : 2450.0000 mm. Head Knuckle Radius (new) r : 245.0000 mm. Head Thickness (new) e : 6.0000 mm. Head Corrosion Allowance Internal ci : 0.0000 mm. Head Corrosion Allowance External co : 0.0000 mm. Joint Efficiency Z : 0.7000

The nozzle is outside the 80% limit: Nozzle corroded inside Diameter di : 609.6000 mm.

Inside Corroded Head Depth [h]: = L - Sqrt( ( L - Di / 2) * ( L + Di / 2 - 2 * r ) ) = 2450.00 -Sqrt((2450.00 -2450.00/2)*(2450.00 +2450.00/2-2*245.00 )) = 474.747 mm.

Y = Min(e/R, 0.04) = Min(2.72027/2450.0000, 0.04) = 0.0011103 Z = Log10(1 / Y) = Log10(1 / 0.001) = 2.9546 X = r / Di = 245.0000 / 2450.0000 = 0.10000 N = 1.006 - 1 / ( 6.2+( 90 * Y )^4) ) = 1.006-1 / (6.2+( 90*0.0011)^4) = 0.84471

Beta06 = N(-0.3635*Z^3 + 2.2124*Z^2 - 3.2937*Z + 1.8873) = 0.845 (-0.363*2.955^3 + 2.2124*2.955^2 - 3.2937*2.955 + 1.8873) = 1.7685

Beta01 = N( -0.1833*Z^3 + 1.0383*Z^2 - 1.2943*Z + 0.837 ) = 0.845 (-.1833*2.955^3 + 2.2124*2.955^2 - 3.2937*2.955 + 1.8873) = 1.1396

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Internal Pressure Calculations : Step: 3 5:35p Aug 24,2014

Beta = 25.0 * ( ( 0.1 - X1 ) * Beta06 + ( X1 - 0.06 ) * Beta01 = 25 * ( ( 0.1 - 0.100 ) * 1.768 + ( 0.100 - 0.06 ) * 1.140 = 1.1396

Thickness Due to Design Internal Pressure: e = Max(es, ey, eb) - para 7.5.3.2

Compute from Section 7.7.3 [Beta_k]: V = Log10(1000 * P / S ) = Log10( 1000 * 0.546/150.008 ) = -0.4385

Note: Compute Beta_K using the Korbbogen equations.

A = 0.54 + 0.41 * V - 0.044 * V³ = 0.54 + 0.41 * -0.439 - 0.044 * -0.439³ = 0.3639 B = 7.77 - 4.53 * V + 0.744 * V² = 7.77 - 4.53 * -0.439 + 0.744 * -0.439² = 9.8995 Beta_k = max ( A + B * di/De, 1.0 + 0.5 * B * di/De ) = max ( 0.364 + 9.900 * 609.600/2462.000 , 1.0 + 0.3 * 9.900 * 609.600/2462.000 ) = 2.8151

Thickness Due to Design Internal Pressure: e = Max(es, ey, eb) - para 7.5.3.2

Required Crown Thickness due to Internal Pressure, see Figure 7.5-3 [es]: = P * R/( 2 * f * z - 0.5 * P ) = 0.546 * 2450.0/( 2 * 1499.993 * 0.70 - 0.5 * 0.546 ) = 0.6376 mm.

ey = Beta*Beta_k*P(0.75*R+0.2*Di)/f =2.815*1.140*0.546(0.75*2450.00+0.2*2450.00/ 1499.9933 = 2.7203 mm. eb = (0.75R+0.2Di)((P/111*fb)*(Di/r)0.825)1/1.5

= (0.75*2450.00+0.2*2450.00) * (0.55/111 *104.69)(2450.00/245.00)0.825)1/1.5

= 2.3182 mm.

Computed Head Thickness per EN13445 - 7.5.3: = Max(es,eb,ey)+c+cext = Max(0.6376,2.3182,2.7203) + 0.0000 + 0.0000 = 2.7203 + 0.0000 +0.0000 = 2.7203 mm.

The head is suitable for the design pressure.

Computed Stress at Design Pressure [Stres]: = 56.287 N./mm^2

Computed Maximum Allowable Working Pressure - Design [MAWP]: MAWP - Phydro = 1.4581 - 0.0514 = 1.4067 bars

Computed Maximum Pressure New and Cold [MAPNC]: = 1.744 bars

Uncorrected (for liquid) Hydrotest Pressure: = 2.277 bars

Elongation of the extreme fiber: For a spun head per EN 13445-4 Para 9.2.1 [F]:

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Internal Pressure Calculations : Step: 3 5:35p Aug 24,2014

Assuming the blank is 20% larger than the head diameter = 100 * ln( 2959.200/( 2450.000 - 2 * 8.000 ) ) = 18.883 %

For a segmented head per EN 13445-4 Para 9.2.5 [F]: = 100 * e/R = 100 * 0.315/48.386 = 0.651 %

If F exceeds 5% PWHT may be required. Please referto EN 13445 Part 4 Table 9.4.1

Required Thickness of Straight Flange = 0.638 mm.

Hydrostatic Test Pressure Results:

Note: The Hydrotest Pressure Derivation is an Iterative Process

Limited by: Torisph. Head Bottom headHydrotest pressure is based upon stress (ftest) in the weakest element:

Note: 1.5 / 1.05 = 1.429, The PED requirement is 1.43

Test allowable per Table 6-1 [ftest]: = 270.039 N./mm^2

Test Pressure = Calc Test Press - Liquid Head = 2.277 - 0.333 = 1.943 bars

Stresses on Elements due to Test Pressure:

From To Stress Allowable Ratio ---------------------------------------------------------------------- Bottom head 66.6 270.0 0.247 Shell 65.1 270.0 0.241 Top head 58.3 270.0 0.216 ----------------------------------------------------------------------

Elements Suitable for Internal Pressure.

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------External Pressure Calculations : Step: 4 5:35p Aug 24,2014

External Pressure Calculation Results :

European Std: EN 13445-3: 2009(E) Issue 1 (2009-07)

Torispherical Head From 10 to 20

Bottom head

Determination of the Nominal Elastic Limit per 8.4 [sigmae]: = Rp0,2|T / 1.25 = 100.48/1.25 = 125.605 N./mm^2

Determine the Stress Yield point [Py]: = 2 * f * ea / R = 2 * 125.605 * 6.000/2450.00 = 0.615 N./mm^2

Determine the Elastic Instability Pressure [Pm]: = 1.21 * E * ea² / R² = 1.21 * .19399E+09 * 6.000²/2450.00² = 14.078 N./mm^2

External Allowable Pressure [Pmax]: = (Pr/Py)/1.5 * Py = 0.240 * 6.152 = 1.474 bars

Cylindrical Shell From 20 to 30

Shell

Determination of the Nominal Elastic Limit per 8.4 [sigmae]: = Rp0,2|T / 1.25 = 100.48/1.25 = 125.605 N./mm^2

Determine the Stress Yield point [Py]: = sigmae * ea / R = 125.605 * 6.000/1228.00 = 0.614 N./mm^2

Strain Factor [Z]: = pi * R / L = 3.141 * 1228.000/2829.80 = 1.363

Determine the ratio Pm/Py: = Pm / Py = 0.131/0.614 = 0.214

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------External Pressure Calculations : Step: 4 5:35p Aug 24,2014

From the Curve, determine Pr/Py: = 0.106

Determine the critical Strain [strain]: = 1/(n²-1+Z²)[1/(n²/Z²+1)²+ea²/(12R²(.91))*(n²-1+Z²)²] = 0.0001384

Where n is the expected number of lobes [n]: = 7

Determine the Elastic Instability Pressure [Pm]: = E * ea * strain / R = .19399E+09 * 6.000 * 0.000138/1228.00 = 1.311 bars

External Allowable Pressure [Pmax]: = (Pr/Py)/1.5 * Py = 0.071 * 6.137 = 0.435 bars

Torispherical Head From 30 to 40

Top head

Determination of the Nominal Elastic Limit per 8.4 [sigmae]: = Rp0,2|T / 1.25 = 100.48/1.25 = 125.605 N./mm^2

Determine the Stress Yield point [Py]: = 2 * f * ea / R = 2 * 125.605 * 6.000/2450.00 = 0.615 N./mm^2

Determine the Elastic Instability Pressure [Pm]: = 1.21 * E * ea² / R² = 1.21 * .19399E+09 * 6.000²/2450.00² = 14.078 N./mm^2

External Allowable Pressure [Pmax]: = (Pr/Py)/1.5 * Py = 0.240 * 6.152 = 1.474 bars

External Pressure Calculations

| | Section | Outside | Corroded | Factor | Factor | From| To | Length | Diameter | Thickness | A | B | | | mm. | mm. | mm. | | N./mm^2 | --------------------------------------------------------------------------- 10| 20| No Calc | 2462.00 | 6.00000 | No Calc | No Calc | 20| 30| 2829.80 | 2462.00 | 6.00000 | No Calc | No Calc | 30| 40| No Calc | 2462.00 | 6.00000 | No Calc | No Calc |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------External Pressure Calculations : Step: 4 5:35p Aug 24,2014

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| 6.00000 | 2.52853 | 0.30000 | 1.47426 | 20| 30| 6.00000 | 5.18560 | 0.30000 | 0.43540 | 30| 40| 6.00000 | 2.52853 | 0.30000 | 1.47426 | Minimum 0.435

External Pressure Calculations

| | Actual Len.| Allow. Len.| Ring Inertia | Ring Inertia | From| To | Bet. Stiff.| Bet. Stiff.| Required | Available | | | mm. | mm. | cm**4 | cm**4 | ------------------------------------------------------------------- 10| 20| No Calc | No Calc | No Calc | No Calc | 20| 30| 2829.80 | 4120.69 | No Calc | No Calc | 30| 40| No Calc | No Calc | No Calc | No Calc |

Elements Suitable for External Pressure.

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Element and Detail Weights : Step: 5 5:35p Aug 24,2014

Element and Detail Weights

| | Element | Element | Corroded | Corroded | Extra due | From| To | Metal Wgt. | ID Volume |Metal Wgt. | ID Volume | Misc % | | | kg. | Cm3 | kg. | Cm3 | kg. | --------------------------------------------------------------------------- 10| 20| 400.162 | 1.691E+06 | 400.162 | 1.691E+06 | 40.0162 | 20| 30| 852.949 | 11.08E+06 | 852.949 | 11.08E+06 | 85.2949 | 30| 40| 400.162 | 1.691E+06 | 400.162 | 1.691E+06 | 40.0162 | --------------------------------------------------------------------------- Total 1653 14463567.00 1653 14463567.00 165

Weight of Details

| | Weight of | X Offset, | Y Offset, | From|Type| Detail | Dtl. Cent. |Dtl. Cent. | Description | | kg. | mm. | mm. | ------------------------------------------------- 10|Liqd| 1687.88 | ... | -237.106 | LIQ 10|Nozl| 4.25647 | ... | -474.747 | N2 20|Liqd| 11074.0 | ... | 1175.00 | LIQ 20|Nozl| 4.24019 | 1251.25 | 280.000 | N9 20|Lugs| 59.8752 | ... | 1725.00 | SUPPORT LUG 30|Liqd| 1690.39 | ... | 287.106 | LIQ 30|Nozl| 195.728 | ... | 950.054 | M 30|Nozl| 33.3333 | 546.370 | 627.372 | N1 30|Nozl| 55.5673 | 736.122 | 627.372 | N3 30|Nozl| 4.25647 | 850.000 | 627.372 | N4 30|Nozl| 41.2788 | 736.122 | 627.372 | N5 30|Nozl| 4.24019 | 546.370 | 627.372 | N6 30|Nozl| 15.8667 | 290.717 | 627.372 | N7 30|Nozl| 1.89509 | ... | 627.372 | N8 30|Nozl| 1.89509 | -290.717 | 627.372 | N10 30|Nozl| 4.25647 | -546.370 | 627.372 | N11 30|Nozl| 8.92143 | -736.122 | 627.372 | N12 30|Nozl| 4.25647 | -837.087 | 627.372 | N13 30|Nozl| 4.24019 | -837.087 | 627.372 | N14 30|Wght| 200.000 | ... | ... | AGITATOR

Total Weight of Each Detail Type

Total Weight of Liquid 14452.2 Total Weight of Nozzles 384.2 Total Weight of Lugs 59.9 Total Weight of Weights 200.0 --------------------------------------------------------------- Sum of the Detail Weights 15096.3 kg.

Weight Summation

Fabricated Shop Test Shipping Erected Empty Operating ------------------------------------------------------------------------------ 1818.6 2262.7 1818.6 2262.7 1818.6 2462.7

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... 14454.7 ... ... ... 14452.2 384.2 ... 384.2 ... ... ... 59.9 ... 59.9 ... ... ... ... ... ... ... ... 200.0 ... ... ... ... ... -200.0 ... ... ... ... 384.2 ... ... ... ... ... 59.9 ... ... ... ... ... 200.0 ... ------------------------------------------------------------------------------ 2262.7 16717.4 2262.7 2462.7 2462.7 16914.9 kg.

Miscellaneous Weight Percent: 10.0 %

Note that the above value for the miscellaneous weight percent hasbeen applied to the shells/heads/flange/tubesheets/tubes etc. in theweight calculations for metallic components.

Note: The shipping total has been modified because some items have been specified as being installed in the shop.

Weight Summary

Fabricated Wt. - Bare Weight W/O Removable Internals 2262.7 kg. Shop Test Wt. - Fabricated Weight + Water ( Full ) 16717.4 kg. Shipping Wt. - Fab. Wt + Rem. Intls.+ Shipping App. 2262.7 kg. Erected Wt. - Fab. Wt + Rem. Intls.+ Insul. (etc) 2462.7 kg. Ope. Wt. no Liq - Fab. Wt + Intls. + Details + Wghts. 2462.7 kg. Operating Wt. - Empty Wt + Operating Liq. Uncorroded 16914.9 kg. Field Test Wt. - Empty Weight + Water (Full) 16717.4 kg. Mass of the Upper 1/3 of the Vertical Vessel 6625.2 kg.

Outside Surface Areas of Elements

| | Surface | From| To | Area | | | cm^2 | ---------------------------- 10| 20| 63069.9 | 20| 30| 181763. | 30| 40| 63069.9 | ----------------------------- Total 307902.969 cm^2

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| 444.434 | 2132.31 | 2134.83 | ... | 444.434 | 20|Lugs| 601.586 | 7670.07 | 7670.06 | 3.38658 | 601.586 | Lugs| 30| 340.899 | 4346.37 | 4346.37 | 1.91906 | 340.899 | 30| 40| 1015.91 | 2706.31 | 2506.31 | 116.609 | 1015.91 |

Cumulative Vessel Weight

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Element and Detail Weights : Step: 5 5:35p Aug 24,2014

| | Cumulative Ope | Cumulative | Cumulative | From| To | Wgt. No Liquid | Oper. Wgt. | Hydro. Wgt. | | | kg. | kg. | kg. | ------------------------------------------------------- 10| 20| ... | ... | ... | 20|Lugs| -444.434 | -2132.31 | -2134.83 | Lugs| 30| 1356.81 | 7052.68 | 6852.68 | 30| 40| 1015.91 | 2706.31 | 2506.31 |

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|Lugs| 3.38658 | 3.38658 | 3.38658 | Lugs| 30| 118.528 | 118.528 | 118.528 | 30| 40| 116.609 | 116.609 | 116.609 |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Flange MAWP : Step: 6 5:35p Aug 24,2014

Nozzle Flange MAWP Results :

Nozzle ----- Flange Rating Description Operating Ambient Temperature Class Grade|Group bars bars °C ---------------------------------------------------------------------------- N2 10.0 10.0 100 PN10 6E0 N9 10.0 10.0 100 PN10 6E0 M 10.0 10.0 100 PN10 6E0 N1 10.0 10.0 100 PN10 6E0 N3 10.0 10.0 100 PN10 6E0 N4 10.0 10.0 100 PN10 6E0 N5 10.0 10.0 100 PN10 6E0 N6 10.0 10.0 100 PN10 6E0 N7 10.0 10.0 100 PN10 6E0 N8 10.0 10.0 100 PN10 6E0 N10 10.0 10.0 100 PN10 6E0 N11 10.0 10.0 100 PN10 6E0 N12 10.0 10.0 100 PN10 6E0 N13 10.0 10.0 100 PN10 6E0 N14 10.0 10.0 100 PN10 6E0 ---------------------------------------------------------------------------- Minimum Rating 10.0 10.0 bars

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Natural Frequency Calculation : Step: 7 5:35p Aug 24,2014

The Natural Frequencies for the vessel have been computed iterativelyby solving a system of matrices. These matrices describe the massand 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 184.735 Hz.

The Natural Frequency for the Vessel (Ope...) is 64.2468 Hz.

The Natural Frequency for the Vessel (Filled) is 64.9981 Hz.

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Wind/Earthquake Shear, Bending : Step: 8 5:35p Aug 24,2014

The following table is for the Operating Case.

Wind/Earthquake Shear, Bending

| | Distance to| Cumulative |Earthquake | Wind | Earthquake | From| To | Support| Wind Shear | Shear | Bending | Bending | | | mm. | Kgf | Kgf | Kg-m. | Kg-m. | --------------------------------------------------------------------------- 10| 20| 1727.25 | ... | ... | ... | ... | 20|Lugs| 750.000 | ... | ... | ... | ... | Lugs| 30| 425.000 | ... | ... | ... | ... | 30| 40| 1027.25 | ... | ... | ... | ... |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Longitudinal Stress Constants : Step: 9 5:35p Aug 24,2014

Longitudinal Stress Constants

| | Metal Area | Metal Area |New & Cold | Corroded | From| To | New & Cold | Corroded |Sect. Mod. | Sect. Mod. | | | cm^2 | cm^2 | mm.³ | mm.³ | -------------------------------------------------------------- 10| 20| 462.947 | 462.947 | 28.36E+06 | 28.36E+06 | 20| 30| 462.947 | 462.947 | 28.36E+06 | 28.36E+06 | 30| 40| 462.947 | 462.947 | 28.36E+06 | 28.36E+06 |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Longitudinal Allowable Stresses : Step: 10 5:35p Aug 24,2014

Longitudinal Allowable Stresses

| | | Hydrotest | | Hydrotest | From| To | Tensile | Tensile | Compressive | Compressive | | | N./mm^2 | N./mm^2 | N./mm^2 | N./mm^2 | ------------------------------------------------------------------- 10| 20| 180.010 | 280.811 | -62.0604 | -85.1568 | 20|Lugs| 180.010 | 280.811 | -62.0604 | -85.1568 | Lugs| 30| 180.010 | 280.811 | -62.0604 | -85.1568 | 30| 40| 180.010 | 280.811 | -62.0604 | -85.1568 |

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Longitudinal Stresses Due to . . . Step: 11 5:35p Aug 24,2014

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^2 | N./mm^2 | N./mm^2 | ------------------------------------------------- 10| 20| 5.09199 | -3.08519 | 19.7920 | 20| 30| 5.09199 | -3.08519 | 19.7920 | 30| 40| 5.09199 | -3.08519 | 19.7920 |

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^2 | N./mm^2 | N./mm^2 | N./mm^2 | N./mm^2 | --------------------------------------------------------------------------- 10| 20| ... | ... | ... | ... | ... | 20|Lugs| 0.094147 | 0.45170 | 0.45223 | 0.0011712 | 0.0011712 | Lugs| 30| -0.28742 | -1.49400 | -0.28742 | 0.040992 | 0.040992 | 30| 40| -0.21521 | -0.21521 | -0.21521 | 0.040328 | 0.040328 |

Longitudinal Stresses Due to . . .

| | Wght. Str. | Bend. Str. |Bend. Str. | Bend. Str. | Bend. Str. | From| To | Hyd. Mom. | Oper. Wind |Oper. Equ. | Hyd. Wind | Hyd. Equ. | | | N./mm^2 | N./mm^2 | N./mm^2 | N./mm^2 | N./mm^2 | --------------------------------------------------------------------------- 10| 20| ... | ... | ... | ... | ... | 20|Lugs| 0.0011712 | ... | ... | ... | ... | Lugs| 30| 0.040992 | ... | ... | ... | ... | 30| 40| 0.040328 | ... | ... | ... | ... |

Longitudinal Stresses Due to . . .

| | Long. Str. | Long. Str. |Long. Str. | EarthQuake | From| To | Vortex Ope.| Vortex Emp.|Vortex Tst.| Empty | | | N./mm^2 | N./mm^2 | N./mm^2 | N./mm^2 | -------------------------------------------------------------- 10| 20| ... | ... | ... | ... | 20|Lugs| ... | ... | ... | ... | Lugs| 30| ... | ... | ... | ... | 30| 40| ... | ... | ... | ... |

Longitudinal Stresses Due to . . .

| | Long. Str. | Long. Str. | From| To | Y Forces W | Y ForceS S | | | N./mm^2 | N./mm^2 |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Longitudinal Stresses Due to . . . Step: 11 5:35p Aug 24,2014

------------------------------------- 10| 20| ... | ... | 20|Lugs| ... | ... | Lugs| 30| ... | ... | 30| 40| ... | ... |

Long. Stresses due to User Forces and Moments

| |Wind For/Mom| Eqk For/Mom|Wnd For/Mom| Eqk For/Mom| From| To | Corroded | Corroded | No Corr. | No Corr. | | | N./mm^2 | N./mm^2 | N./mm^2 | N./mm^2 | -------------------------------------------------------------- 10| 20| ... | ... | ... | ... | 20|Lugs| ... | ... | ... | ... | Lugs| 30| ... | ... | ... | ... | 30| 40| ... | ... | ... | ... |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Stress due to Combined Loads : Step: 12 5:35p Aug 24,2014

Stress Combination Load Cases for Vertical Vessels:

Load Case Definition Key

IP = Longitudinal Stress due to Internal Pressure EP = Longitudinal Stress due to External Pressure HP = Longitudinal Stress due to Hydrotest Pressure NP = No Pressure EW = Longitudinal Stress due to Weight (No Liquid) OW = Longitudinal Stress due to Weight (Operating) HW = Longitudinal Stress due to Weight (Hydrotest) WI = Bending Stress due to Wind Moment (Operating) EQ = Bending Stress due to Earthquake Moment (Operating) EE = Bending Stress due to Earthquake Moment (Empty) HI = Bending Stress due to Wind Moment (Hydrotest) HE = Bending Stress due to Earthquake Moment (Hydrotest) WE = Bending Stress due to Wind Moment (Empty) (no CA) WF = Bending Stress due to Wind Moment (Filled) (no CA) CW = Longitudinal Stress due to Weight (Empty) (no CA) VO = Bending Stress due to Vortex Shedding Loads ( Ope ) VE = Bending Stress due to Vortex Shedding Loads ( Emp ) VF = Bending Stress due to Vortex Shedding Loads ( Test No CA. ) FW = Axial Stress due to Vertical Forces for the Wind Case FS = Axial Stress due to Vertical Forces for the Seismic Case BW = Bending Stress due to Lat. Forces for the Wind Case, Corroded BS = Bending Stress due to Lat. Forces for the Seismic Case, Corroded BN = Bending Stress due to Lat. Forces for the Wind Case, UnCorroded BU = Bending Stress due to Lat. Forces for the Seismic Case, UnCorroded

General Notes:

Case types HI and HE are in the Un-Corroded condition.

Case types WE, WF, and CW are in the Un-Corroded condition.

A blank stress and stress ratio indicates that the correspondingstress comprising those components that did not contribute to thattype of stress.

For PD:5500 and EN-13445, computed stress intensities are comparedto the design stress f and the compressive stress is compared to theallowable compressive as Rat 4.

An asterisk (*) in the final column denotes overstress.

Analysis of Load Case 1 : NP+EW+WI+FW+BW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.093 0.095 0.000 0.001 0.001 0.000 0.000 20 0.328 0.328 0.000 0.002 0.002 0.000 0.005

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30 0.256 0.256 0.000 0.001 0.001 0.000 0.004

Analysis of Load Case 2 : NP+EW+EE+FS+BS From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.093 0.095 0.000 0.001 0.001 0.000 0.000 20 0.328 0.328 0.000 0.002 0.002 0.000 0.005 30 0.256 0.256 0.000 0.001 0.001 0.000 0.004

Analysis of Load Case 3 : NP+OW+WI+FW+BW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.451 0.453 0.000 0.003 0.003 0.000 0.000 20 1.535 1.535 0.000 0.009 0.009 0.000 0.025 30 0.256 0.256 0.000 0.001 0.001 0.000 0.004

Analysis of Load Case 4 : NP+OW+EQ+FS+BS From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.451 0.453 0.000 0.003 0.003 0.000 0.000 20 1.535 1.535 0.000 0.009 0.009 0.000 0.025 30 0.256 0.256 0.000 0.001 0.001 0.000 0.004

Analysis of Load Case 5 : NP+HW+HI From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.451 0.453 0.000 0.002 0.002 0.000 0.000 20 0.328 0.328 0.000 0.001 0.001 0.000 0.004 30 0.256 0.256 0.000 0.001 0.001 0.000 0.003

Analysis of Load Case 6 : NP+HW+HE From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.451 0.453 0.000 0.002 0.002 0.000 0.000 20 0.328 0.328 0.000 0.001 0.001 0.000 0.004 30 0.256 0.256 0.000 0.001 0.001 0.000 0.003

Analysis of Load Case 7 : IP+OW+WI+FW+BW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 17.315 5.584 22.897 0.096 0.031 0.153 0.000 20 19.301 3.667 22.885 0.107 0.020 0.153 0.000 30 11.143 4.917 15.979 0.062 0.027 0.107 0.000

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Stress due to Combined Loads : Step: 12 5:35p Aug 24,2014

Analysis of Load Case 8 : IP+OW+EQ+FS+BS From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 17.315 5.584 22.897 0.096 0.031 0.153 0.000 20 19.301 3.667 22.885 0.107 0.020 0.153 0.000 30 11.143 4.917 15.979 0.062 0.027 0.107 0.000

Analysis of Load Case 9 : EP+OW+WI+FW+BW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities [Uchk A-2] ----------- Stress Ratios ----------------------------------------------------------------------- 10 3.085 3.085 0.000 0.017 0.017 0.000 0.050 20 2.635 2.635 0.000 0.70 0.015 0.015 0.000 0.042 20 4.620 4.620 0.000 0.71 0.026 0.026 0.000 0.074 30 3.341 3.341 0.000 0.019 0.019 0.000 0.054

Analysis of Load Case 10 : EP+OW+EQ+FS+BS From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities [Uchk A-2] ----------- Stress Ratios ----------------------------------------------------------------------- 10 3.085 3.085 0.000 0.017 0.017 0.000 0.050 20 2.635 2.635 0.000 0.70 0.015 0.015 0.000 0.042 20 4.620 4.620 0.000 0.71 0.026 0.026 0.000 0.074 30 3.341 3.341 0.000 0.019 0.019 0.000 0.054

Analysis of Load Case 11 : HP+HW+HI From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.792 19.792 0.000 0.070 0.070 0.000 0.000 20 20.243 20.245 0.000 0.072 0.072 0.000 0.000 20 19.464 19.546 0.000 0.069 0.070 0.000 0.000 30 19.536 19.617 0.000 0.070 0.070 0.000 0.000

Analysis of Load Case 12 : HP+HW+HE From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.792 19.792 0.000 0.070 0.070 0.000 0.000 20 20.243 20.245 0.000 0.072 0.072 0.000 0.000 20 19.464 19.546 0.000 0.069 0.070 0.000 0.000 30 19.536 19.617 0.000 0.070 0.070 0.000 0.000

Analysis of Load Case 13 : IP+WE+EW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 17.673 5.226 22.897 0.098 0.029 0.153 0.000 20 18.094 4.873 22.885 0.101 0.027 0.153 0.000 30 11.143 4.917 15.979 0.062 0.027 0.107 0.000

Analysis of Load Case 14 : IP+WF+CW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4

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Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 16.956 5.941 22.897 0.094 0.033 0.153 0.000 20 19.260 3.626 22.885 0.107 0.020 0.153 0.000 30 11.102 4.877 15.979 0.062 0.027 0.107 0.000

Analysis of Load Case 15 : IP+VO+OW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 17.315 5.584 22.897 0.096 0.031 0.153 0.000 20 19.301 3.667 22.885 0.107 0.020 0.153 0.000 30 11.143 4.917 15.979 0.062 0.027 0.107 0.000

Analysis of Load Case 16 : IP+VE+EW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 17.673 5.226 22.897 0.098 0.029 0.153 0.000 20 18.094 4.873 22.885 0.101 0.027 0.153 0.000 30 11.143 4.917 15.979 0.062 0.027 0.107 0.000

Analysis of Load Case 17 : NP+VO+OW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 0.000 0.000 0.000 0.000 0.000 0.000 0.000 20 0.451 0.453 0.000 0.003 0.003 0.000 0.000 20 1.535 1.535 0.000 0.009 0.009 0.000 0.025 30 0.256 0.256 0.000 0.001 0.001 0.000 0.004

Analysis of Load Case 18 : FS+BS+IP+OW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities ------------------- Stress Ratios ----------------------------------------------------------------------- 10 19.268 5.134 24.402 0.107 0.029 0.163 0.000 20 17.315 5.584 22.897 0.096 0.031 0.153 0.000 20 19.301 3.667 22.885 0.107 0.020 0.153 0.000 30 11.143 4.917 15.979 0.062 0.027 0.107 0.000

Analysis of Load Case 19 : FS+BS+EP+OW From f1-f2 f2+0.5p Hoop+.5p Rat 1 Rat 2 Rat 3 Rat 4 Node --------- Stress Intensities [Uchk A-2] ----------- Stress Ratios ----------------------------------------------------------------------- 10 3.085 3.085 0.000 0.017 0.017 0.000 0.050 20 2.635 2.635 0.000 0.70 0.015 0.015 0.000 0.042 20 4.620 4.620 0.000 0.71 0.026 0.026 0.000 0.074 30 3.341 3.341 0.000 0.019 0.019 0.000 0.054

Absolute Maximum of the all of the Stress Ratio's 0.7138

Governing Element: ShellGoverning Load Case 9 : EP+OW+WI+FW+BW

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PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Center of Gravity Calculation : Step: 13 5:35p Aug 24,2014

Shop/Field Installation Options :

Note : The CG is computed from the first Element From Node

Center of Gravity of Liquid 1225.255 mm. Center of Gravity of Nozzles 3123.184 mm. Center of Gravity of Lugs 1775.000 mm. Center of Gravity of Added Weights (Operating) 2400.000 mm. Center of Gravity of Added Weights (Empty) 2400.000 mm.

Center of Gravity of Bare Shell New and Cold 1225.000 mm. Center of Gravity of Bare Shell Corroded 1225.000 mm.

Vessel CG in the Operating Condition 1284.176 mm. Vessel CG in the Fabricated (Shop/Empty) Condition 1629.951 mm. Vessel CG in the Test Condition 1521.537 mm.

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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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 350.0000 mm. Lug Support Force Bearing Width Wfb 200.0000 mm. Lug Material P235GH, EN 10028-2:1992 Lug Yield Stress 190.01 N./mm^2 Radial Width of bottom Support Lug Plate Wpl 500.0000 mm. Effective Force Bearing Length Lpl 400.0000 mm. Thickness of bottom Support Lug Plate Tpl 20.0000 mm. Distance between Gussets Dgp 350.0000 mm. Mean Width of Gusset Plate Wgp 225.0000 mm. Height of Gusset Plate Hgp 450.0000 mm. Thickness of Gusset Plate Tgp 14.0000 mm. Radial Width of Top Bar Plate Wtp 100.0000 mm. Thickness of Top Plate Ttp 20.0000 mm.

Pad Width along Circumference C11P 550.000 mm. Pad Length along Vessel Axis C22P 600.000 mm. Pad Thickness Tpad 6.000 mm.

Bolt Material 42CrMo5-6, EN 10269:1999 Bolt Allowable Stress at Design Temperature 215.01 N./mm^2 Thread Series UNC Bolt Diameter 25.40 mm.

Results for Support Lugs: Description: SUPPORT LUG

Overturning Moment at Support Lug 0. Kg-m. Weight Load at the top of one Lug 4214. Kgf

Force on one Lug, Operating Condition [Flug]: = ( W/Nlug + Mlug/( Rlug * Nlug/2 ) ) = ( 16855/4 + 0/( 1581.00 * 4/2 )) = 4213.76 Kgf

Top Bar Plate Stress per Bednar p.154 [Stpl]: = 0.75*( Flug*Dlug*Lpl )/( Ttp*Wtp²*Hgp ) = 0.75*( 4213 *350.000 *400.000 )/( 20.0000 *100.000²*450.000 ) = 48.21 N./mm^2

Required Thickness of Top Plate 7.6119 mm.

Bearing Area [Ba]: = Lpl * Wfb = 400.000 * 200.000 = 800.00 cm^2

Bending Stress in bottom Plate (Unif. Load) Per Bednar p.156 [Spl2]: = Beta1 * Flug/Ba * Wfb² / Tpl² per Roark & Young 5th Ed. = 1.215 * 4213.8/800.000 * 200.000²/20.000²

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= 62.76 N./mm^2

Bottom Plate Required Thickness (Uniform Load) 14.0777 mm.

Bottom Plate Required Thickness based on ADM S 3/4 [trAD]: = 0.71 * Dgp * (( Flug / ( Lpl * Wfb ))/Spa )½ = 0.71*350.00*((4213/(400.00*200.00))/126.673)½ = 15.869 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 = 2/3 * 190 = 126.67 N./mm^2

Gusset Plate Axial Stress ( Force / Gusset Plate Area ) [Sgp]: = ( Flug/2 )/( Wgp * Tgp ) = ( 4213/2 )/( 225.000 *14.0000 ) = 6.56 N./mm^2

Required Thickness of Gussets per AISC 6.5565 mm.

Gusset Plate Allowable Stress [Sga]: = ( 1-(Klr)²/(2*Cc²))*Fy /( 5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³) = ( 1-( 128.57 )²/(2 * 145.93² )) * 190/ ( 5/3+3*(128.57 )/(8* 145.93 )-( 128.57³)/(8*145.93³) = 60.82 N./mm^2

Maximum Compressive Gusset Plate Stress per Bednar [SgpB]: = Flug*( 3*Dlug-Wpl )/( Tgp* Wpl² * (Sin(Alph_G))² ) = 4213 *( 3*350.000 -500.000 )/( 14.0000 *500.000²*(Sin(39.29 ))² ) = 16.19 N./mm^2

Gusset Plate Allowable Compressive Stress [SgaB]: = 18000/(1+(1/18000)*( Hgp/Sin(Alph_G)/(0.289*Tgp))² ) = 18000/(1+(1/18000)* (450.000/Sin(39.29 )/(0.289*14.0000 ))² ) = 45.73 N./mm^2

Note :There was no uplift. Please choose an appropriate boltsize for this support design.

Input Echo, WRC107/537 Item 1, Description: SUPPORT LUG

Diameter Basis for Vessel Vbasis ID Cylindrical or Spherical Vessel Cylsph Cylindrical Internal Corrosion Allowance Cas 0.0000 mm. Vessel Diameter Dv 2450.000 mm. Vessel Thickness Tv 6.000 mm.

Design Temperature 100.00 °C

Attachment Type Type Rectangular

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Parameter C11 C11 350.00 mm. Parameter C22 C22 450.00 mm.

Thickness of Reinforcing Pad Tpad 6.000 mm. Pad Parameter C11P C11p 550.000 mm. Pad Parameter C22P C22p 600.000 mm.

Design Internal Pressure Dp 0.500 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 4213.8 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 1474.8 Kg-m.

Internal Pressure (SUS) P 0.50 bars Include Pressure Thrust No

Use Interactive Control No 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 4213.8 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML -1474.8 Kg-m. Torsional Moment MT 0.0 Kg-m.

Dimensionless Parameters used : Gamma = 102.58

Dimensionless Loads for Cylindrical Shells at Attachment Junction: ------------------------------------------------------------------- Curves read for 1979 Beta Figure Value Location ------------------------------------------------------------------- N(PHI) / ( P/Rm ) 0.184 4C 11.836 (A,B) N(PHI) / ( P/Rm ) 0.184 3C 5.829 (C,D) M(PHI) / ( P ) 0.155 2C1 0.027 (A,B) M(PHI) / ( P ) 0.155 1C ! 0.067 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.155 3A 3.971 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.162 1A 0.064 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.168 3B 8.723 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.164 1B 0.016 (A,B,C,D)

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N(x) / ( P/Rm ) 0.171 3C 6.506 (A,B) N(x) / ( P/Rm ) 0.171 4C 12.389 (C,D) M(x) / ( P ) 0.173 1C1 0.049 (A,B) M(x) / ( P ) 0.173 2C ! 0.036 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.155 4A 8.624 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.186 2A 0.026 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.168 4B 3.781 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.176 2B 0.019 (A,B,C,D)

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

Stress Concentration Factors Kn = 1.00, Kb = 1.00

Stresses in the Vessel at the Attachment Junction ------------------------------------------------------------------------ | Stress Values at Type of | (N./mm^2 ) ---------------|-------------------------------------------------------- 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 | 49 -49 -49 49 0 0 0 0 | Tot. Circ. Str.| 85.6 -12.4 -85.6 12.4 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 | 16 16 -16 -16 0 0 0 0 Long. Bend. ML | 52 -52 -52 52 0 0 0 0 | Tot. Long. Str.| 69.6 -36.4 -69.6 36.4 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -3 -3 3 3 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -3.8 -3.8 3.8 3.8 ------------------------------------------------------------------------ Str. Int. | 85.62 36.37 85.62 36.37 7.65 7.65 7.65 7.65 ------------------------------------------------------------------------

Dimensionless Parameters used : Gamma = 204.67Dimensionless Loads for Cylindrical Shells at Pad edge: ------------------------------------------------------------------- Curves read for 1979 Beta Figure Value Location ------------------------------------------------------------------- N(PHI) / ( P/Rm ) 0.246 4C 14.558 (A,B)

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N(PHI) / ( P/Rm ) 0.246 3C 3.978 (C,D) M(PHI) / ( P ) 0.231 2C1 0.007 (A,B) M(PHI) / ( P ) 0.231 1C ! 0.068 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.231 3A 4.423 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.236 1A 0.048 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.237 3B 8.848 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.231 1B 0.005 (A,B,C,D)

N(x) / ( P/Rm ) 0.239 3C 4.191 (A,B) N(x) / ( P/Rm ) 0.239 4C 15.025 (C,D) M(x) / ( P ) 0.240 1C1 0.020 (A,B) M(x) / ( P ) 0.240 2C ! 0.037 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.231 4A 16.444 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.258 2A 0.018 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.237 4B 4.052 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.238 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

Stresses in the Vessel at the Edge of Reinforcing Pad ------------------------------------------------------------------------ | Stress Values at Type of | (N./mm^2 ) ---------------|-------------------------------------------------------- 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 | 56 56 -56 -56 0 0 0 0 Circ. Bend. ML | 43 -43 -43 43 0 0 0 0 | Tot. Circ. Str.| 100.1 12.6 -100.1 -12.6 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 | 24 24 -24 -24 0 0 0 0 Long. Bend. ML | 45 -45 -45 45 0 0 0 0 | Tot. Long. Str.| 70.2 -20.4 -70.2 20.4 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -5 -5 5 5 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -5.7 -5.7 5.7 5.7 ------------------------------------------------------------------------ Str. Int. | 100.14 33.05 100.14 33.05 11.48 11.48 11.48 11.48 ------------------------------------------------------------------------

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WRC 107/537 Stress Summations:

Vessel Stress Summation at Attachment Junction ------------------------------------------------------------------------ Type of | Stress Values at Stress Int. | (N./mm^2 ) ---------------|-------------------------------------------------------- Location | Au Al Bu Bl Cu Cl Du Dl ---------------|-------------------------------------------------------- Circ. Pm (SUS) | 5 5 5 5 5 5 5 5 Circ. Pl (SUS) | 36 36 -36 -36 0 0 0 0 Circ. Q (SUS) | 49 -49 -49 49 0 0 0 0 ------------------------------------------------------------------------ Long. Pm (SUS) | 2 2 2 2 2 2 2 2 Long. Pl (SUS) | 16 16 -16 -16 0 0 0 0 Long. Q (SUS) | 52 -52 -52 52 0 0 0 0 ------------------------------------------------------------------------ Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (SUS) | 0 0 0 0 -3 -3 3 3 Shear Q (SUS) | 0 0 0 0 0 0 0 0 ------------------------------------------------------------------------ Pm (SUS) | 5.1 5.1 5.1 5.1 5.1 5.1 5.1 5.1 ------------------------------------------------------------------------ Pm+Pl (SUS) | 41.7 41.7 31.5 31.5 8.1 8.1 8.1 8.1 ------------------------------------------------------------------------ Pm+Pl+Q (Total)| 90.7 33.8 80.5 38.9 8.1 8.1 8.1 8.1 ------------------------------------------------------------------------

------------------------------------------------------------------------ Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm^2 | ---------------|-------------------------------------------------------- Pm (SUS) | 5.13 150.01 | Passed Pm+Pl (SUS) | 41.74 225.01 | Passed Pm+Pl+Q (TOTAL)| 90.70 495.02 | Passed ------------------------------------------------------------------------

WRC 107/537 Stress Summations:

Vessel Stress Summation at Reinforcing Pad Edge ------------------------------------------------------------------------ Type of | Stress Values at Stress Int. | (N./mm^2 ) ---------------|-------------------------------------------------------- Location | Au Al Bu Bl Cu Cl Du Dl ---------------|-------------------------------------------------------- Circ. Pm (SUS) | 10 10 10 10 10 10 10 10 Circ. Pl (SUS) | 56 56 -56 -56 0 0 0 0 Circ. Q (SUS) | 43 -43 -43 43 0 0 0 0 ------------------------------------------------------------------------ Long. Pm (SUS) | 5 5 5 5 5 5 5 5 Long. Pl (SUS) | 24 24 -24 -24 0 0 0 0 Long. Q (SUS) | 45 -45 -45 45 0 0 0 0 ------------------------------------------------------------------------ Shear Pm (SUS) | 0 0 0 0 0 0 0 0

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Shear Pl (SUS) | 0 0 0 0 -5 -5 5 5 Shear Q (SUS) | 0 0 0 0 0 0 0 0 ------------------------------------------------------------------------ Pm (SUS) | 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 ------------------------------------------------------------------------ Pm+Pl (SUS) | 66.6 66.6 46.2 46.2 13.9 14.0 13.9 14.0 ------------------------------------------------------------------------ Pm+Pl+Q (Total)| 110.3 38.2 90.0 27.9 13.9 14.0 13.9 14.0 ------------------------------------------------------------------------

------------------------------------------------------------------------ Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm^2 | ---------------|-------------------------------------------------------- Pm (SUS) | 10.23 150.01 | Passed Pm+Pl (SUS) | 66.62 225.01 | Passed Pm+Pl+Q (TOTAL)| 110.32 495.02 | Passed ------------------------------------------------------------------------

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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Support Lug Calculations: Test 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 350.0000 mm. Lug Support Force Bearing Width Wfb 200.0000 mm. Lug Material P235GH, EN 10028-2:1992 Lug Yield Stress 225.01 N./mm^2 Radial Width of bottom Support Lug Plate Wpl 500.0000 mm. Effective Force Bearing Length Lpl 400.0000 mm. Thickness of bottom Support Lug Plate Tpl 20.0000 mm. Distance between Gussets Dgp 350.0000 mm. Mean Width of Gusset Plate Wgp 225.0000 mm. Height of Gusset Plate Hgp 450.0000 mm. Thickness of Gusset Plate Tgp 14.0000 mm. Radial Width of Top Bar Plate Wtp 100.0000 mm. Thickness of Top Plate Ttp 20.0000 mm.

Pad Width along Circumference C11P 550.000 mm. Pad Length along Vessel Axis C22P 600.000 mm. Pad Thickness Tpad 6.000 mm.

Bolt Material 42CrMo5-6, EN 10269:1999 Bolt Allowable Stress at Design Temperature 215.01 N./mm^2 Thread Series UNC Bolt Diameter 25.40 mm.

Results for Support Lugs: Description: SUPPORT LUG

Overturning Moment at Support Lug 0. Kg-m. Weight Load at the top of one Lug 4164. Kgf

Force on one Lug, Test Condition [Flug]: = ( W/Nlug + Mlug/( Rlug * Nlug/2 ) ) = ( 16657/4 + 0/( 1581.00 * 4/2 )) = 4164.39 Kgf

Top Bar Plate Stress per Bednar p.154 [Stpl]: = 0.75*( Flug*Dlug*Lpl )/( Ttp*Wtp²*Hgp ) = 0.75*( 4164 *350.000 *400.000 )/( 20.0000 *100.000²*450.000 ) = 47.65 N./mm^2

Required Thickness of Top Plate 6.3526 mm.

Bearing Area [Ba]: = Lpl * Wfb = 400.000 * 200.000 = 800.00 cm^2

Bending Stress in bottom Plate (Unif. Load) Per Bednar p.156 [Spl2]: = Beta1 * Flug/Ba * Wfb² / Tpl² per Roark & Young 5th Ed. = 1.215 * 4164.4/800.000 * 200.000²/20.000²

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= 62.03 N./mm^2

Bottom Plate Required Thickness (Uniform Load) 12.8606 mm.

Bottom Plate Required Thickness based on ADM S 3/4 [trAD]: = 0.71 * Dgp * (( Flug / ( Lpl * Wfb ))/Spa )½ = 0.71*350.00*((4164/(400.00*200.00))/150.005)½ = 14.497 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 = 2/3 * 225 = 150.01 N./mm^2

Gusset Plate Axial Stress ( Force / Gusset Plate Area ) [Sgp]: = ( Flug/2 )/( Wgp * Tgp ) = ( 4164/2 )/( 225.000 *14.0000 ) = 6.48 N./mm^2

Required Thickness of Gussets per AISC 6.4894 mm.

Gusset Plate Allowable Stress [Sga]: = ( 1-(Klr)²/(2*Cc²))*Fy /( 5/3+3*(Klr)/(8*Cc)-(Klr³)/(8*Cc³) = ( 1-( 128.57 )²/(2 * 135.39² )) * 225/ ( 5/3+3*(128.57 )/(8* 135.39 )-( 128.57³)/(8*135.39³) = 64.49 N./mm^2

Maximum Compressive Gusset Plate Stress per Bednar [SgpB]: = Flug*( 3*Dlug-Wpl )/( Tgp* Wpl² * (Sin(Alph_G))² ) = 4164 *( 3*350.000 -500.000 )/( 14.0000 *500.000²*(Sin(39.29 ))² ) = 16.00 N./mm^2

Gusset Plate Allowable Compressive Stress [SgaB]: = 18000/(1+(1/18000)*( Hgp/Sin(Alph_G)/(0.289*Tgp))² ) = 18000/(1+(1/18000)* (450.000/Sin(39.29 )/(0.289*14.0000 ))² ) = 45.73 N./mm^2

Note :There was no uplift. Please choose an appropriate boltsize for this support design.

Input Echo, WRC107/537 Item 1, Description: SUPPORT LUG

Diameter Basis for Vessel Vbasis ID Cylindrical or Spherical Vessel Cylsph Cylindrical Internal Corrosion Allowance Cas 0.0000 mm. Vessel Diameter Dv 2450.000 mm. Vessel Thickness Tv 6.000 mm.

Design Temperature 21.11 °C

Attachment Type Type Rectangular

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Parameter C11 C11 350.00 mm. Parameter C22 C22 450.00 mm.

Thickness of Reinforcing Pad Tpad 6.000 mm. Pad Parameter C11P C11p 550.000 mm. Pad Parameter C22P C22p 600.000 mm.

Design Internal Pressure Dp 0.500 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 600.7 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 210.3 Kg-m.

Internal Pressure (SUS) P 0.50 bars Include Pressure Thrust No

Global Force (OCC) Fx 0.0 Kgf Global Force (OCC) Fy 3563.7 Kgf Global Force (OCC) Fz 0.0 Kgf Global Moment (OCC) Mx 0.0 Kg-m. Global Moment (OCC) My 0.0 Kg-m. Global Moment (OCC) Mz 1247.3 Kg-m.

Occasional Internal Pressure (OCC) Pvar 1.58 bars

Use Interactive Control No 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 600.7 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML -210.3 Kg-m. Torsional Moment MT 0.0 Kg-m.

Dimensionless Parameters used : Gamma = 102.58

Dimensionless Loads for Cylindrical Shells at Attachment Junction: -------------------------------------------------------------------

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Curves read for 1979 Beta Figure Value Location ------------------------------------------------------------------- N(PHI) / ( P/Rm ) 0.184 4C 11.836 (A,B) N(PHI) / ( P/Rm ) 0.184 3C 5.829 (C,D) M(PHI) / ( P ) 0.155 2C1 0.027 (A,B) M(PHI) / ( P ) 0.155 1C ! 0.067 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.155 3A 3.971 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.162 1A 0.064 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.168 3B 8.723 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.164 1B 0.016 (A,B,C,D)

N(x) / ( P/Rm ) 0.171 3C 6.506 (A,B) N(x) / ( P/Rm ) 0.171 4C 12.389 (C,D) M(x) / ( P ) 0.173 1C1 0.049 (A,B) M(x) / ( P ) 0.173 2C ! 0.036 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.155 4A 8.624 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.186 2A 0.026 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.168 4B 3.781 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.176 2B 0.019 (A,B,C,D)

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

Stress Concentration Factors Kn = 1.00, Kb = 1.00

Stresses in the Vessel at the Attachment Junction ------------------------------------------------------------------------ | Stress Values at Type of | (N./mm^2 ) ---------------|-------------------------------------------------------- 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 | 5 5 -5 -5 0 0 0 0 Circ. Bend. ML | 6 -6 -6 6 0 0 0 0 | Tot. Circ. Str.| 12.2 -1.8 -12.2 1.8 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 | 2 2 -2 -2 0 0 0 0 Long. Bend. ML | 7 -7 -7 7 0 0 0 0 | Tot. Long. Str.| 9.9 -5.2 -9.9 5.2 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 0 0 0 0 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -0.5 -0.5 0.5 0.5

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------------------------------------------------------------------------ Str. Int. | 12.21 5.18 12.21 5.18 1.09 1.09 1.09 1.09 ------------------------------------------------------------------------

Dimensionless Parameters used : Gamma = 204.67Dimensionless Loads for Cylindrical Shells at Pad edge: ------------------------------------------------------------------- Curves read for 1979 Beta Figure Value Location ------------------------------------------------------------------- N(PHI) / ( P/Rm ) 0.246 4C 14.558 (A,B) N(PHI) / ( P/Rm ) 0.246 3C 3.978 (C,D) M(PHI) / ( P ) 0.231 2C1 0.007 (A,B) M(PHI) / ( P ) 0.231 1C ! 0.068 (C,D) N(PHI) / ( MC/(Rm**2 * Beta) ) 0.231 3A 4.423 (A,B,C,D) M(PHI) / ( MC/(Rm * Beta) ) 0.236 1A 0.048 (A,B,C,D) N(PHI) / ( ML/(Rm**2 * Beta) ) 0.237 3B 8.848 (A,B,C,D) M(PHI) / ( ML/(Rm * Beta) ) 0.231 1B 0.005 (A,B,C,D)

N(x) / ( P/Rm ) 0.239 3C 4.191 (A,B) N(x) / ( P/Rm ) 0.239 4C 15.025 (C,D) M(x) / ( P ) 0.240 1C1 0.020 (A,B) M(x) / ( P ) 0.240 2C ! 0.037 (C,D) N(x) / ( MC/(Rm**2 * Beta) ) 0.231 4A 16.444 (A,B,C,D) M(x) / ( MC/(Rm * Beta) ) 0.258 2A 0.018 (A,B,C,D) N(x) / ( ML/(Rm**2 * Beta) ) 0.237 4B 4.052 (A,B,C,D) M(x) / ( ML/(Rm * Beta) ) 0.238 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

Stresses in the Vessel at the Edge of Reinforcing Pad ------------------------------------------------------------------------ | Stress Values at Type of | (N./mm^2 ) ---------------|-------------------------------------------------------- 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 | 8 8 -8 -8 0 0 0 0 Circ. Bend. ML | 6 -6 -6 6 0 0 0 0 | Tot. Circ. Str.| 14.3 1.8 -14.3 -1.8 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 | 3 3 -3 -3 0 0 0 0 Long. Bend. ML | 6 -6 -6 6 0 0 0 0 |

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Tot. Long. Str.| 10.0 -2.9 -10.0 2.9 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 0 0 0 0 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -0.8 -0.8 0.8 0.8 ------------------------------------------------------------------------ Str. Int. | 14.28 4.71 14.28 4.71 1.64 1.64 1.64 1.64 ------------------------------------------------------------------------

WRC 107 Stress Calculation for OCCasional loads: Radial Load P 0.0 Kgf Circumferential Shear VC 0.0 Kgf Longitudinal Shear VL 3563.7 Kgf Circumferential Moment MC 0.0 Kg-m. Longitudinal Moment ML -1247.3 Kg-m. Torsional Moment MT 0.0 Kg-m.

Dimensionless Parameters used : Gamma = 102.58 Stress Concentration Factors Kn = 1.00, Kb = 1.00

Stresses in the Vessel at the Attachment Junction ------------------------------------------------------------------------ | Stress Values at Type of | (N./mm^2 ) ---------------|-------------------------------------------------------- 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 | 30 30 -30 -30 0 0 0 0 Circ. Bend. ML | 41 -41 -41 41 0 0 0 0 | Tot. Circ. Str.| 72.4 -10.5 -72.4 10.5 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 | 14 14 -14 -14 0 0 0 0 Long. Bend. ML | 44 -44 -44 44 0 0 0 0 | Tot. Long. Str.| 58.8 -30.8 -58.8 30.8 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear VC | 0 0 0 0 0 0 0 0 Shear VL | 0 0 0 0 -3 -3 3 3 Shear MT | 0 0 0 0 0 0 0 0 | Tot. Shear| 0.0 0.0 0.0 0.0 -3.2 -3.2 3.2 3.2 ------------------------------------------------------------------------ Str. Int. | 72.41 30.76 72.41 30.76 6.47 6.47 6.47 6.47 ------------------------------------------------------------------------

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Dimensionless Parameters used : Gamma = 204.67 Stress Concentration Factors Kn = 1.00, Kb = 1.00

Stresses in the Vessel at the Edge of Reinforcing Pad ------------------------------------------------------------------------ | Stress Values at Type of | (N./mm^2 ) ---------------|-------------------------------------------------------- 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 | 47 47 -47 -47 0 0 0 0 Circ. Bend. ML | 37 -37 -37 37 0 0 0 0 | Tot. Circ. Str.| 84.7 10.7 -84.7 -10.7 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 | 21 21 -21 -21 0 0 0 0 Long. Bend. ML | 38 -38 -38 38 0 0 0 0 | Tot. Long. Str.| 59.4 -17.3 -59.4 17.3 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. | 84.69 27.95 84.69 27.95 9.71 9.71 9.71 9.71 ------------------------------------------------------------------------

WRC 107/537 Stress Summations:

Vessel Stress Summation at Attachment Junction ------------------------------------------------------------------------ Type of | Stress Values at Stress Int. | (N./mm^2 ) ---------------|-------------------------------------------------------- Location | Au Al Bu Bl Cu Cl Du Dl ---------------|-------------------------------------------------------- Circ. Pm (SUS) | 5 5 5 5 5 5 5 5 Circ. Pm (OCC) | 16 16 16 16 16 16 16 16 Circ. Pm(TOTAL)| 21.1 21.3 21.1 21.3 21.1 21.3 21.1 21.3 Circ. Pl (SUS) | 5 5 -5 -5 0 0 0 0 Circ. Pl (OCC) | 30 30 -30 -30 0 0 0 0 Circ. Pl(TOTAL)| 36.2 36.2 -36.2 -36.2 0.0 0.0 0.0 0.0 Circ. Q (SUS) | 6 -6 -6 6 0 0 0 0 Circ. Q (OCC) | 41 -41 -41 41 0 0 0 0 Circ. Q (TOTAL)| 48.4 -48.4 -48.4 48.4 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------

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Long. Pm (SUS) | 2 2 2 2 2 2 2 2 Long. Pm (OCC) | 8 8 8 8 8 8 8 8 Long. Pm(TOTAL)| 10.6 10.6 10.6 10.6 10.6 10.6 10.6 10.6 Long. Pl (SUS) | 2 2 -2 -2 0 0 0 0 Long. Pl (OCC) | 14 14 -14 -14 0 0 0 0 Long. Pl(TOTAL)| 16.4 16.4 -16.4 -16.4 0.0 0.0 0.0 0.0 Long. Q (SUS) | 7 -7 -7 7 0 0 0 0 Long. Q (OCC) | 44 -44 -44 44 0 0 0 0 Long. Q (TOTAL)| 52.4 -52.4 -52.4 52.4 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pm (OCC) | 0 0 0 0 0 0 0 0 Shear Pm(TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Shear Pl (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (OCC) | 0 0 0 0 -3 -3 3 3 Shear Pl(TOTAL)| 0.0 0.0 0.0 0.0 -3.8 -3.8 3.8 3.8 Shear Q (SUS) | 0 0 0 0 0 0 0 0 Shear Q (OCC) | 0 0 0 0 0 0 0 0 Shear Q (TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Pm (SUS) | 5.1 5.1 5.1 5.1 5.1 5.1 5.1 5.1 ------------------------------------------------------------------------ Pm (SUS+OCC) | 21.1 21.3 21.1 21.3 21.1 21.3 21.1 21.3 ------------------------------------------------------------------------ Pm+Pl (SUS) | 10.3 10.3 0.3 0.3 5.2 5.2 5.2 5.2 ------------------------------------------------------------------------ Pm+Pl (SUS+OCC)| 57.3 57.5 15.1 14.9 22.3 22.5 22.3 22.5 ------------------------------------------------------------------------ Pm+Pl+Q (Total)| 105.7 34.4 63.5 46.5 22.3 22.5 22.3 22.5 ------------------------------------------------------------------------

------------------------------------------------------------------------ Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm^2 | ---------------|-------------------------------------------------------- Pm (SUS) | 5.13 180.01 | Passed Pm (SUS+OCC) | 21.32 216.01 | Passed Pm+Pl (SUS) | 10.35 270.01 | Passed Pm+Pl (SUS+OCC)| 57.50 324.01 | Passed Pm+Pl+Q (TOTAL)| 105.73 540.02 | Passed ------------------------------------------------------------------------

WRC 107/537 Stress Summations:

Vessel Stress Summation at Reinforcing Pad Edge ------------------------------------------------------------------------ Type of | Stress Values at Stress Int. | (N./mm^2 ) ---------------|-------------------------------------------------------- Location | Au Al Bu Bl Cu Cl Du Dl ---------------|-------------------------------------------------------- Circ. Pm (SUS) | 10 10 10 10 10 10 10 10 Circ. Pm (OCC) | 32 32 32 32 32 32 32 32 Circ. Pm(TOTAL)| 42.3 42.5 42.3 42.5 42.3 42.5 42.3 42.5 Circ. Pl (SUS) | 8 8 -8 -8 0 0 0 0 Circ. Pl (OCC) | 47 47 -47 -47 0 0 0 0

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Circ. Pl(TOTAL)| 55.7 55.7 -55.7 -55.7 0.0 0.0 0.0 0.0 Circ. Q (SUS) | 6 -6 -6 6 0 0 0 0 Circ. Q (OCC) | 37 -37 -37 37 0 0 0 0 Circ. Q (TOTAL)| 43.2 -43.2 -43.2 43.2 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Long. Pm (SUS) | 5 5 5 5 5 5 5 5 Long. Pm (OCC) | 16 16 16 16 16 16 16 16 Long. Pm(TOTAL)| 21.2 21.2 21.2 21.2 21.2 21.2 21.2 21.2 Long. Pl (SUS) | 3 3 -3 -3 0 0 0 0 Long. Pl (OCC) | 21 21 -21 -21 0 0 0 0 Long. Pl(TOTAL)| 24.6 24.6 -24.6 -24.6 0.0 0.0 0.0 0.0 Long. Q (SUS) | 6 -6 -6 6 0 0 0 0 Long. Q (OCC) | 38 -38 -38 38 0 0 0 0 Long. Q (TOTAL)| 44.8 -44.8 -44.8 44.8 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Shear Pm (SUS) | 0 0 0 0 0 0 0 0 Shear Pm (OCC) | 0 0 0 0 0 0 0 0 Shear Pm(TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Shear Pl (SUS) | 0 0 0 0 0 0 0 0 Shear Pl (OCC) | 0 0 0 0 -4 -4 4 4 Shear Pl(TOTAL)| 0.0 0.0 0.0 0.0 -5.7 -5.7 5.7 5.7 Shear Q (SUS) | 0 0 0 0 0 0 0 0 Shear Q (OCC) | 0 0 0 0 0 0 0 0 Shear Q (TOTAL)| 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 ------------------------------------------------------------------------ Pm (SUS) | 10.2 10.2 10.2 10.2 10.2 10.2 10.2 10.2 ------------------------------------------------------------------------ Pm (SUS+OCC) | 42.3 42.5 42.3 42.5 42.3 42.5 42.3 42.5 ------------------------------------------------------------------------ Pm+Pl (SUS) | 18.2 18.3 2.1 2.2 10.3 10.4 10.3 10.4 ------------------------------------------------------------------------ Pm+Pl (SUS+OCC)| 98.1 98.3 13.4 13.2 43.8 43.9 43.8 43.9 ------------------------------------------------------------------------ Pm+Pl+Q (Total)| 141.3 55.0 56.6 41.3 43.8 43.9 43.8 43.9 ------------------------------------------------------------------------

------------------------------------------------------------------------ Type of | Max. S.I. S.I. Allowable | Result Stress Int. | N./mm^2 | ---------------|-------------------------------------------------------- Pm (SUS) | 10.23 180.01 | Passed Pm (SUS+OCC) | 42.54 216.01 | Passed Pm+Pl (SUS) | 18.27 270.01 | Passed Pm+Pl (SUS+OCC)| 98.26 324.01 | Passed Pm+Pl+Q (TOTAL)| 141.30 540.02 | Passed ------------------------------------------------------------------------

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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INPUT VALUES, Nozzle Description: N2 From : 10

Pressure for Reinforcement Calculations P 0.833 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10, EN10028-7:2007, EN10028-7:2007 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 0.0000 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 0.00 deg Diameter 4.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N2

Actual Inside Diameter Used in Calculation 4.026 in. Actual Thickness Used in Calculation 0.237 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.833 * 102.260/( 2 * 127.341 * 1.000 - 0.083 ) + 0.000 = 0.033 mm.

EN13445 Section 9 - Pressure Area Design Method:Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((114.3000 - 6.0198 )*6.0198 , 150.0000 ) = 25.5309 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 25.531 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(0.000/2453.000 )-asin((0.000 -0.5*114.300 )/2453.000 ) = 0.0233 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.023 * 2453.000 = 57.1552 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(0.000 )/2453.000 ) = 0.0000 radians

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +57.155 )/(0.5*6.000 +2450.000 ) + 57.155 *(6.000 +0.000 ) = 2.8019 x 10^3 cm^2

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Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 25.531 )*102.260 *0.5 = 13.0540 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 25.531 * 6.020 + 0.000 * 0.000 = 1.5369 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.833 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.833 ) + (1.537 * (min(150.008 , 127.341 ) - 0.50 * 0.833 ) = 18.5015 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb ) = 0.833 * ( 2801.877 + 13.054 ) = 2.3915 X 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 0.6649 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 156.6649 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N9 Nozl: 17 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N9 From : 20

Pressure for Reinforcement Calculations P 0.754 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10, EN10028-7:2007, EN10028-7:2007 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Diameter of Cylindrical Shell Di 2450.00 mm. Shell Finished (Minimum) Thickness ea 6.0000 mm. Shell Internal Corrosion Allowance c 0.0000 mm. Shell External Corrosion Allowance co 0.0000 mm.

Distance from Bottom/Left Tangent 330.0000 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 0.00 deg Diameter 2.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm. User Defined Nozzle/Shell Centerline Angle 45.0000 deg.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N9

Actual Inside Diameter Used in Calculation 2.067 in. Actual Thickness Used in Calculation 0.154 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.754 * 52.502/( 2 * 127.341 * 1.000 - 0.075 ) + 0.000 = 0.016 mm.

EN13445 Section 9 - Pressure Area Design Method:

Nozzle Angle from vessel normal to surface used 45.000 deg.

Inside Radius per paragraph 9.5-3 [ris]: = ( Di + 2 * cs )/2 = ( 2450.000 + 2 * 0.000 )/2 = 1225.0000 mm.

Credit Distance Along the Nozzle per 9.5-76 [Ibo]: = min( sqrt( ( deb - 2 * cext - eab) * eab), ho ) = min(sqrt((60.325 -2*0.000 -3.912 )*3.912 ),150.000 ) = 14.8549 mm.

Credit Distance Along the Nozzle per 9.5-77 [Ibi]: = min(hi, 0.5*Ibo) = min(0.000 , 05*14.855 ) = 0.0000 mm.

Compute area in the re-pad [Afp]: = Ip * ep = 0.000 * 0.000 = 0.0000 cm^2

Compute triangular area [Ap.psi]: = dib² * tan(Psi)/2 = 52.502² * tan(45.000 ) = 13.7822 cm^2

Calculate the Pressure Area per 9.5-29 [Aps]: Note: do (nozzle O/Dia.) taken as the diameter of the hole in the shell = ris * (Iso + do / 2 ) * ris + do/2 *( eas + eap ) = ris * (121.392 + 60.325/2)*1225.000 + 2.375/2*(6.000 +0.000 ) = 1.8584 x 10^3 cm^2

Slant Angle Area per 9.5-112 [APpsi] = di² * tan(Psi)/2 = 52.502² * tan(45.000 )/2 = 13.7822 cm^2

Pressure Area of Nozzle per using dib and Ibo [Apb]: (This is an inserted nozzle) = Ibo * dib/2 = 14.855 * 52.502/2

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= 3.8995 cm^2

Compute the effective re-pad width [Ip]: = min( max( Dp - 2 * cext - do/cos(Phi), 0 ) / 2, Iso ) ) = min(Max (0.000 -2.0*0.000 -60.325/Cos(45.000 ), 0.0)/2.0, 121.392 ) = 0.0000 mm.

Available Metal Areas per 9.5-78 to 9.5-81 [Afs, Afb, Afp, Afw]: Note: The welds are considered in the corroded condition Afs = (Iso + eab)*eas = (121.392 + 3.912 )*6.000 = 7.2835 cm^2 Afb = Ibo*eb+Ibi*(eb-ci+co)=14.855 *3.912 +0.000 *(3.912 -0.000 +0.000 ) = 0.5811 cm^2 Afp = Ip * eap = 0.544 * 0.000 = 0.0000 cm^2 Afw = (wshell² + wpad² + winside²) / 2 = (10.0000² + 0.0000² + 0.0000²)/2 = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop] fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Force requirement per paragraph 9.5.2.1.1 [Fa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (7.284 + 0.500 ) * (150.008 - 0.5 * 0.754 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.754 ) + (0.581 * (min(150.008 , 127.341 ) - 0.50 * 0.754 ) = 12.6572 x 10^3 Kgf

Force Term per 9.5.2.1.1 [Pa]: = P( Aps + Apb + 0.5 * APpsi ) = 0.754 ( 1858.352 + 3.900 + 0.5*13.782 ) = 1.4377 x 10^3 Kgf

Since Fa >= Pa, Code Requirements are satisfied.

The Drop for this Nozzle is : 0.3714 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 156.3714 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : M Nozl: 18 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: M From : 30

Pressure for Reinforcement Calculations P 0.513 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 800.0000 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN10028-7:2007 Allowable Stress at Temperature fn 150.01 N./mm^2 Allowable Stress At Ambient fna 180.01 N./mm^2

Diameter Basis (for tr calc only) OD Layout Angle 0.00 deg Diameter 24.0000 in.

Size and Thickness Basis Actual Actual Thickness tn 8.0000 mm.

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 6.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Pad Material X5CrNi18-10, EN10028-7:2007 Pad Allowable Stress at Temperature f2 150.01 N./mm^2 Pad Allowable Stress At Ambient f2a 180.01 N./mm^2 Diameter of Pad along vessel surface d2 820.0001 mm. Thickness of Pad e2 6.0000 mm. Weld leg size between Pad and Shell Wp 6.0000 mm. Groove weld depth between Pad and Nozzle Wgpn 6.0000 mm. Reinforcing Pad Width 105.2000 mm. This is a Manway or Access Opening.

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Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration) | | | | | | | | __________/| | ____/|__________\| || \ | || \ | ||________________\|__|

Insert Nozzle With Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: M

Actual Outside Diameter Used in Calculation 24.000 in. Actual Thickness Used in Calculation 0.315 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.513 * 593.600/( 2 * 150.008 * 1.000 - 0.051 ) + 0.000 = 0.102 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

WARNING: Nozzle or Reinforcement Pad is outside Spherical D Limit !

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((609.6000 - 8.0000 )*8.0000 , 150.0000 ) = 69.3743 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 69.374 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm )

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= asin(800.000/2453.000 )-asin((800.000 -0.5*609.600 )/2453.000 ) = 0.1289 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.129 * 2453.000 = 316.2798 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(800.000 )/2453.000 ) = 0.3322 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*593.600²*Tan(0.332 ) = 607.8120 cm^2

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +316.280 )/(0.5*6.000 +2450.000 ) + 316.280 *(6.000 +6.000 ) = 6.0068 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 69.374 )*593.600 *0.5 = 205.9031 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 69.374 * 8.000 + 0.000 * 0.000 = 5.5499 cm^2 Afp = Ip * eap = 105.200 * 6.000 = 6.3120 cm^2 Afw = 0.6800 cm^2

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 150.008 ) = 150.008 N./mm^2 fop = min(fs, fp) = min(150.008 , 150.008 ) = 150.008 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.680 ) * (150.008 - 0.5 * 0.513 ) + (6.312 * (min(150.008 , 150.008 ) - 0.50 * 0.513 ) + (5.550 * (min(150.008 , 150.008 ) - 0.50 * 0.513 ) = 34.9248 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.513 * ( 6006.796 + 205.903 + 0.5*607.812 ) = 3.4098 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 128.5747 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 284.9199 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N1 Nozl: 19 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N1 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 40.00 deg Diameter 3.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N1 Nozl: 19 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N1

Actual Inside Diameter Used in Calculation 3.068 in. Actual Thickness Used in Calculation 0.216 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 77.927/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.016 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((88.9000 - 5.4864 )*5.4864 , 150.0000 ) = 21.3925 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 21.393 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*88.900 )/2453.000 ) = 0.0193 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.019 * 2453.000 = 47.2208 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*77.927²*Tan(0.354 ) = 11.2162 cm^2

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Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +47.221 )/(0.5*6.000 +2450.000 ) + 47.221 *(6.000 +0.000 ) = 2.6797 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 21.393 )*77.927 *0.5 = 8.3353 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 21.393 * 5.486 + 0.000 * 0.000 = 1.1737 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (1.174 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 18.0319 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2679.734 + 8.335 + 0.5*11.216 ) = 1.4143 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 16.8877 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 173.2821 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N3 Nozl: 20 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N3 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 60.00 deg Diameter 2.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N3 Nozl: 20 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N3

Actual Inside Diameter Used in Calculation 2.067 in. Actual Thickness Used in Calculation 0.154 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 52.502/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.011 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((60.3250 - 3.9116 )*3.9116 , 150.0000 ) = 14.8549 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 14.855 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*60.325 )/2453.000 ) = 0.0131 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.013 * 2453.000 = 32.0782 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*52.502²*Tan(0.354 ) = 5.0912 cm^2

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Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +32.078 )/(0.5*6.000 +2450.000 ) + 32.078 *(6.000 +0.000 ) = 2.4936 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 14.855 )*52.502 *0.5 = 3.8995 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 14.855 * 3.912 + 0.000 * 0.000 = 0.5811 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.581 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.2626 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2493.554 + 3.900 + 0.5*5.091 ) = 1.3126 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 11.3518 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 167.7462 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N4 Nozl: 21 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N4 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 90.00 deg Diameter 6.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 80S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

69

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N4 Nozl: 21 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N4

Actual Inside Diameter Used in Calculation 5.761 in. Actual Thickness Used in Calculation 0.432 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 146.329/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.030 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((168.2750 - 10.9728 )*10.9728 , 150.0000 ) = 41.5457 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 41.546 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*168.275 )/2453.000 ) = 0.0363 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.036 * 2453.000 = 89.1163 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*146.329²*Tan(0.354 ) = 39.5486 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N4 Nozl: 21 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +89.116 )/(0.5*6.000 +2450.000 ) + 89.116 *(6.000 +0.000 ) = 3.1948 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 41.546 )*146.329 *0.5 = 30.3968 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 41.546 * 10.973 + 0.000 * 0.000 = 4.5587 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (4.559 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 22.4265 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 3194.839 + 30.397 + 0.5*39.549 ) = 1.7037 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 32.8069 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 189.2013 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N5 Nozl: 22 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N5 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 120.00 deg Diameter 2.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

72

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N5 Nozl: 22 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N5

Actual Inside Diameter Used in Calculation 2.067 in. Actual Thickness Used in Calculation 0.154 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 52.502/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.011 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((60.3250 - 3.9116 )*3.9116 , 150.0000 ) = 14.8549 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 14.855 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*60.325 )/2453.000 ) = 0.0131 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.013 * 2453.000 = 32.0782 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*52.502²*Tan(0.354 ) = 5.0912 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N5 Nozl: 22 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +32.078 )/(0.5*6.000 +2450.000 ) + 32.078 *(6.000 +0.000 ) = 2.4936 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 14.855 )*52.502 *0.5 = 3.8995 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 14.855 * 3.912 + 0.000 * 0.000 = 0.5811 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.581 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.2626 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2493.554 + 3.900 + 0.5*5.091 ) = 1.3126 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 11.3518 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 167.7462 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N6 Nozl: 23 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N6 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 140.00 deg Diameter 1.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 80S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

75

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N6 Nozl: 23 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N6

Actual Inside Diameter Used in Calculation 0.957 in. Actual Thickness Used in Calculation 0.179 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 24.308/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.005 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((33.4010 - 4.5466 )*4.5466 , 150.0000 ) = 11.4538 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 11.454 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*33.401 )/2453.000 ) = 0.0072 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.007 * 2453.000 = 17.7799 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*24.308²*Tan(0.354 ) = 1.0913 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N6 Nozl: 23 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +17.780 )/(0.5*6.000 +2450.000 ) + 17.780 *(6.000 +0.000 ) = 2.3178 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 11.454 )*24.308 *0.5 = 1.3921 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 11.454 * 4.547 + 0.000 * 0.000 = 0.5208 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.521 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.1843 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2317.757 + 1.392 + 0.5*1.091 ) = 1.2179 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 6.2295 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 162.6238 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

77

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N7 Nozl: 24 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N7 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 160.00 deg Diameter 2.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

78

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N7 Nozl: 24 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N7

Actual Inside Diameter Used in Calculation 2.067 in. Actual Thickness Used in Calculation 0.154 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 52.502/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.011 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((60.3250 - 3.9116 )*3.9116 , 150.0000 ) = 14.8549 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 14.855 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*60.325 )/2453.000 ) = 0.0131 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.013 * 2453.000 = 32.0782 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*52.502²*Tan(0.354 ) = 5.0912 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N7 Nozl: 24 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +32.078 )/(0.5*6.000 +2450.000 ) + 32.078 *(6.000 +0.000 ) = 2.4936 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 14.855 )*52.502 *0.5 = 3.8995 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 14.855 * 3.912 + 0.000 * 0.000 = 0.5811 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.581 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.2626 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2493.554 + 3.900 + 0.5*5.091 ) = 1.3126 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 11.3518 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 167.7462 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

80

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N8 Nozl: 25 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N8 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 180.00 deg Diameter 1.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 80S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N8 Nozl: 25 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N8

Actual Inside Diameter Used in Calculation 0.957 in. Actual Thickness Used in Calculation 0.179 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 24.308/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.005 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((33.4010 - 4.5466 )*4.5466 , 150.0000 ) = 11.4538 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 11.454 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*33.401 )/2453.000 ) = 0.0072 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.007 * 2453.000 = 17.7799 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*24.308²*Tan(0.354 ) = 1.0913 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N8 Nozl: 25 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +17.780 )/(0.5*6.000 +2450.000 ) + 17.780 *(6.000 +0.000 ) = 2.3178 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 11.454 )*24.308 *0.5 = 1.3921 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 11.454 * 4.547 + 0.000 * 0.000 = 0.5208 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.521 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.1843 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2317.757 + 1.392 + 0.5*1.091 ) = 1.2179 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 6.2295 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 162.6238 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N10 Nozl: 26 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N10 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 200.00 deg Diameter 1.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 80S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

84

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N10 Nozl: 26 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N10

Actual Inside Diameter Used in Calculation 0.957 in. Actual Thickness Used in Calculation 0.179 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 24.308/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.005 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((33.4010 - 4.5466 )*4.5466 , 150.0000 ) = 11.4538 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 11.454 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*33.401 )/2453.000 ) = 0.0072 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.007 * 2453.000 = 17.7799 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*24.308²*Tan(0.354 ) = 1.0913 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N10 Nozl: 26 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +17.780 )/(0.5*6.000 +2450.000 ) + 17.780 *(6.000 +0.000 ) = 2.3178 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 11.454 )*24.308 *0.5 = 1.3921 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 11.454 * 4.547 + 0.000 * 0.000 = 0.5208 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.521 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.1843 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2317.757 + 1.392 + 0.5*1.091 ) = 1.2179 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 6.2295 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 162.6238 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N11 Nozl: 27 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N11 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 220.00 deg Diameter 3.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

87

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N11 Nozl: 27 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N11

Actual Inside Diameter Used in Calculation 3.068 in. Actual Thickness Used in Calculation 0.216 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 77.927/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.016 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((88.9000 - 5.4864 )*5.4864 , 150.0000 ) = 21.3925 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 21.393 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*88.900 )/2453.000 ) = 0.0193 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.019 * 2453.000 = 47.2208 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*77.927²*Tan(0.354 ) = 11.2162 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N11 Nozl: 27 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +47.221 )/(0.5*6.000 +2450.000 ) + 47.221 *(6.000 +0.000 ) = 2.6797 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 21.393 )*77.927 *0.5 = 8.3353 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 21.393 * 5.486 + 0.000 * 0.000 = 1.1737 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (1.174 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 18.0319 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2679.734 + 8.335 + 0.5*11.216 ) = 1.4143 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 16.8877 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 173.2821 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N12 Nozl: 28 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N12 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 240.00 deg Diameter 1.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 80S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

90

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N12 Nozl: 28 5:35p Aug 24,2014

| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N12

Actual Inside Diameter Used in Calculation 0.957 in. Actual Thickness Used in Calculation 0.179 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 24.308/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.005 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((33.4010 - 4.5466 )*4.5466 , 150.0000 ) = 11.4538 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 11.454 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*33.401 )/2453.000 ) = 0.0072 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.007 * 2453.000 = 17.7799 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*24.308²*Tan(0.354 ) = 1.0913 cm^2

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N12 Nozl: 28 5:35p Aug 24,2014

Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +17.780 )/(0.5*6.000 +2450.000 ) + 17.780 *(6.000 +0.000 ) = 2.3178 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 11.454 )*24.308 *0.5 = 1.3921 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 11.454 * 4.547 + 0.000 * 0.000 = 0.5208 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.521 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.1843 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2317.757 + 1.392 + 0.5*1.091 ) = 1.2179 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 6.2295 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 162.6238 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

92

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PV Elite 2013 FileName : V-8304-V8305_R0 -------------------------------Nozzle Calcs. : N13 Nozl: 29 5:35p Aug 24,2014

INPUT VALUES, Nozzle Description: N13 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 260.00 deg Diameter 2.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N13

Actual Inside Diameter Used in Calculation 2.067 in. Actual Thickness Used in Calculation 0.154 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 52.502/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.011 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((60.3250 - 3.9116 )*3.9116 , 150.0000 ) = 14.8549 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 14.855 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*60.325 )/2453.000 ) = 0.0131 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.013 * 2453.000 = 32.0782 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*52.502²*Tan(0.354 ) = 5.0912 cm^2

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Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +32.078 )/(0.5*6.000 +2450.000 ) + 32.078 *(6.000 +0.000 ) = 2.4936 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 14.855 )*52.502 *0.5 = 3.8995 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 14.855 * 3.912 + 0.000 * 0.000 = 0.5811 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (0.581 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 17.2626 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2493.554 + 3.900 + 0.5*5.091 ) = 1.3126 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 11.3518 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 167.7462 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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INPUT VALUES, Nozzle Description: N14 From : 30

Pressure for Reinforcement Calculations P 0.515 bars Temperature for Internal Pressure Temp 100 °C Design External Pressure Pext 0.30 bars Temperature for External Pressure Tempex 100 °C

Shell Material X5CrNi18-10 Shell Allowable Stress at Temperature f 150.01 N./mm^2 Shell Allowable Stress At Ambient fa 180.01 N./mm^2

Inside Crown Radius of Torispherical Head L 2450.0000 mm. Inside Knuckle Radius of Torispherical Head r 245.0000 mm. Head Finished (Minimum) Thickness ea 6.0000 mm. Head Internal Corrosion Allowance c 0.0000 mm. Head External Corrosion Allowance co 0.0000 mm.

Distance from Head Centerline L1 850.0001 mm.

Type of Element Connected to the Shell : Nozzle

Nozzle Material X5CrNi18-10, EN 10217-7:2005 Allowable Stress at Temperature fn 127.34 N./mm^2 Allowable Stress At Ambient fna 166.67 N./mm^2

Diameter Basis (for tr calc only) ID Layout Angle 280.00 deg Diameter 3.0000 in.

Size and Thickness Basis Nominal Nominal Thickness eb 40S

Flange Material X5CRNI18-10 Flange Type Weld Neck Flange

Corrosion Allowance can 0.0000 mm.

Outside Projection ho 150.0000 mm. Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm. Groove weld depth between Nozzle and Vessel Wgnv 4.0000 mm. Inside Projection h 0.0000 mm. Weld leg size, Inside Element to Shell Wi 0.0000 mm.

Class of attached Flange PN10 Grade of attached Flange 6E0

The Pressure Design option was Design Pressure + static head.

Nozzle Sketch (may not represent actual weld type/configuration)

| | | | | |

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| | ____________/| || \ | || \ | ||____________\|__|

Insert Nozzle No Pad, no Inside projection

Isolated Nozzle Calculation per EN 13445, Description: N14

Actual Inside Diameter Used in Calculation 3.068 in. Actual Thickness Used in Calculation 0.216 in.

Required Thickness of Nozzle Neck due to Internal Pressure: = P * Di / ( 2 * f * z - P ) + c EN-13445 Equation: 7.4.2: = 0.515 * 77.927/( 2 * 127.341 * 1.000 - 0.051 ) + 0.000 = 0.016 mm.

EN13445 Section 9 - Pressure Area Design Method:Note: This Is a Hillside Nozzle (Offset)

Crown Radius per 9.5.1 [ris]: = R + cs = 2450.000 + 0.0000 = 2450.0000 mm.

Outside Crown Diameter per paragraph 9.4.5.3 [De]: = ( ris + eas ) * 2 = ( 2450.000 + 6.000 ) * 2 = 4912.0000 mm.

Credit Distance Along the Shell per 9.5.1 [Iso]: = sqrt((2*ris+eas)*eas) = sqrt(2*2450.000 + 6.000 ) * 6.000 ) = 171.5692 mm.

Credit Distance Along the Nozzle outside per 9.5.7.1 [Ibo]: = min( sqrt( ( de - eab )*eab ), ho ) = min( sqrt((88.9000 - 5.4864 )*5.4864 , 150.0000 ) = 21.3925 mm.

Credit Distance Along the Nozzle per inside 9.5.7.1 [Ibi]: = min(hi, 0.50 * Ibo) = min(0.000 , 0.50 * 21.393 ) = 0.0000 mm.

Mean radius of Head per Figure 9.4-10 [rm]: = ris + eas/2 = 2450.000 + 6.000/2 = 2453.0000 mm.

Angle subtending 'a' in figure 9.5-3 [Alpha]: = asin( Offset / Rm ) - asin( ( Offset - 0.5 * dib) / Rm ) = asin(850.000/2453.000 )-asin((850.000 -0.5*88.900 )/2453.000 ) = 0.0193 radians

The distance as depicted in figure 9.5-3 [a]: = Alpha * rms = 0.019 * 2453.000 = 47.2208 mm.

Angle between nozzle centreling and head centrline [Beta]: = Asin(Offset/rms) = Asin(850.000 )/2453.000 ) = 0.3539 radians

Small triangular area fig 9.5-3 [Ap_psi]: = 0.5*dib²*tab(Beta) = 0.5*77.927²*Tan(0.354 ) = 11.2162 cm^2

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Pressure area inside shell/head per 9.5-56 [Aps]: = 0.5 * ris² * ( Iso + a ) / ( 0.5 * eas + ris ) + a * ( eas + eap ) = 0.5*2450.000 **2*(171.569 +47.221 )/(0.5*6.000 +2450.000 ) + 47.221 *(6.000 +0.000 ) = 2.6797 x 10^3 cm^2

Area in the nozzle [Apb]: = min(ho, Ibo)*dib*0.5 = min(150.000 , 21.393 )*77.927 *0.5 = 8.3353 cm^2

Afs = Iso * eas = 171.569 * 6.000 = 10.2942 cm^2 Afb = Ibo * eab + Ibi * max(eab - cn + cnext, 0 ) = 21.393 * 5.486 + 0.000 * 0.000 = 1.1737 cm^2 Afp = Ip * eap = 0.000 * 0.000 = 0.0000 cm^2 Afw = 0.5000 cm^2

Note: There is No Reinforcement Pad

Calculation per paragraph 9.5.2.1.1 [fob, fop]: fob = min(fs, fb) = min(150.008 , 127.341 ) = 127.341 N./mm^2 fop = min(fs, fp) = min(150.008 , 0.000 ) = 0.000 N./mm^2

Pressure Area Check Term per paragraph 9.5.2.1.1 [Pa]: = (Afs+Afw)*(fs-0.5P)+Afp*(min(fs,fp) - 0.5P) + Afb(min(fs,fb) - 0.5P) = (10.294 + 0.500 ) * (150.008 - 0.5 * 0.515 ) + (0.000 * (min(150.008 , 0.000 ) - 0.50 * 0.515 ) + (1.174 * (min(150.008 , 127.341 ) - 0.50 * 0.515 ) = 18.0319 x 10^3 Kgf

Stress Area term per paragraph 9.5.2.1.1 [Pa]: = P * ( Aps + Apb + .5 * APpsi ) = 0.515 * ( 2679.734 + 8.335 + 0.5*11.216 ) = 1.4143 x 10^3 Kgf

Since Pa >= Fa, Code Requirements are satisfied.

The Drop for this Nozzle is : 16.8877 mm.The Cut Length for this Nozzle is, Drop + Ho + H + T : 173.2821 mm.

For possible nozzle interference - See Nozzle Summary

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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Nozzle Schedule:

Nominal Flange Noz. Wall Re-Pad Cut Description Size Sch/Type O/Dia Thk ODia Thick Length in. Cls in. mm. mm. mm. mm. ------------------------------------------------------------------------------M 24.000 10 WNF 24.000 8.000 820.00 6.000 284.92 N1 3.000 40S WNF 3.500 5.486 - - 173.28 N10 1.000 80S WNF 1.315 4.547 - - 162.62 N11 3.000 40S WNF 3.500 5.486 - - 173.28 N12 1.000 80S WNF 1.315 4.547 - - 162.62 N13 2.000 40S WNF 2.375 3.912 - - 167.75 N14 3.000 40S WNF 3.500 5.486 - - 173.28 N2 4.000 40S WNF 4.500 6.020 - - 156.66 N3 2.000 40S WNF 2.375 3.912 - - 167.75 N4 6.000 80S WNF 6.625 10.973 - - 189.20 N5 2.000 40S WNF 2.375 3.912 - - 167.75 N6 1.000 80S WNF 1.315 4.547 - - 162.62 N7 2.000 40S WNF 2.375 3.912 - - 167.75 N8 1.000 80S WNF 1.315 4.547 - - 162.62 N9 2.000 40S WNF 2.375 3.912 - - 156.37

General Notes for the above table:

The Cut Length is the Outside Projection + Inside Projection + Drop +In Plane Shell Thickness. This value does not include weld gaps,nor does it account for shrinkage.

In the case of Oblique Nozzles, the Outside Diameter mustbe increased. The Re-Pad WIDTH around the nozzle is calculated as follows:Width of Pad = (Pad Outside Dia. (per above) - Nozzle Outside Dia.)/2

For hub nozzles, the thickness and diameter shown are those of the smallerand thinner section.

Nozzle Material and Weld Fillet Leg Size Details: Shl Grve Noz Shl/Pad Pad OD Pad Grve Inside Nozzle Material Weld Weld Weld Weld Weld mm. mm. mm. mm. mm. ------------------------------------------------------------------------------ M X5CrNi18-10, EN10028 6.000 10.000 6.000 6.000 - N1 X5CrNi18-10, EN 1021 4.000 10.000 - - - N10 X5CrNi18-10, EN 1021 4.000 10.000 - - - N11 X5CrNi18-10, EN 1021 4.000 10.000 - - - N12 X5CrNi18-10, EN 1021 4.000 10.000 - - - N13 X5CrNi18-10, EN 1021 4.000 10.000 - - - N14 X5CrNi18-10, EN 1021 4.000 10.000 - - - N2 X5CrNi18-10, EN 1021 4.000 10.000 - - - N3 X5CrNi18-10, EN 1021 4.000 10.000 - - - N4 X5CrNi18-10, EN 1021 4.000 10.000 - - - N5 X5CrNi18-10, EN 1021 4.000 10.000 - - - N6 X5CrNi18-10, EN 1021 4.000 10.000 - - - N7 X5CrNi18-10, EN 1021 4.000 10.000 - - - N8 X5CrNi18-10, EN 1021 4.000 10.000 - - -

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N9 X5CrNi18-10, EN 1021 4.000 10.000 - - -

Note: The Outside projections below do not include the flange thickness.

Nozzle Miscellaneous Data:

Elevation/Distance Layout Projection Installed In Nozzle From Datum Angle Outside Inside Component mm. deg. mm. mm. ---------------------------------------------------------------------------- M 0.00 150.00 0.00 Top head N1 40.00 150.00 0.00 Top head N10 200.00 150.00 0.00 Top head N11 220.00 150.00 0.00 Top head N12 240.00 150.00 0.00 Top head N13 260.00 150.00 0.00 Top head N14 280.00 150.00 0.00 Top head N2 0.00 150.00 0.00 Bottom head N3 60.00 150.00 0.00 Top head N4 90.00 150.00 0.00 Top head N5 120.00 150.00 0.00 Top head N6 140.00 150.00 0.00 Top head N7 160.00 150.00 0.00 Top head N8 180.00 150.00 0.00 Top head N9 330.000 0.00 150.00 0.00 Shell

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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Nozzle Calculation Summary:

Per EN 13445 Section 9:

Description Pressure Area Result --------------------------------------------------------------------------- N2 Pressure Area Passed N9 Pressure Area Passed M Pressure Area Passed N1 Pressure Area Passed N3 Pressure Area Passed N4 Pressure Area Passed N5 Pressure Area Passed N6 Pressure Area Passed N7 Pressure Area Passed N8 Pressure Area Passed N10 Pressure Area Passed N11 Pressure Area Passed N12 Pressure Area Passed N13 Pressure Area Passed N14 Pressure Area Passed ---------------------------------------------------------------------------

Check the Spatial Relationship between the Nozzles

From Node Nozzle Description Y Coordinate, Layout Angle, Mean Radius 10 N2 0.000 0.000 54.140 20 N9 330.000 0.000 28.207 30 M 0.000 0.000 300.800 30 N1 0.000 40.000 41.707 30 N3 0.000 60.000 28.207 30 N4 0.000 90.000 78.651 30 N5 0.000 120.000 28.207 30 N6 0.000 140.000 14.427 30 N7 0.000 160.000 28.207 30 N8 0.000 180.000 14.427 30 N10 0.000 200.000 14.427 30 N11 0.000 220.000 41.707 30 N12 0.000 240.000 14.427 30 N13 0.000 260.000 28.207 30 N14 0.000 280.000 41.707

If any interferences/violations are found, they will be noted below.

Note: Items not derived explicitly will be found in the individual nozzle calculation. These items include such values as Afls etc.

Nozzles M and N1 are a Group per EN 13445 para 9.6.4 ----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm.

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a1 = deb1/2 = 304.8000 and a2 = deb2/2 = 44.4500 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (567.554 + 304.800 + 44.450 )/(171.569 + 171.569 ) = -0.6718 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 567.554 + 304.800 + 44.450 + -0.672 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 567.5541 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 567.554/( 2 * 2450.000 + 0.236 ) = 6.9440 x 10^3 cm^2

Metal area Afb1 = 5.5499 , Afb2 = 1.1737 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (567.554 - 304.800 - 44.450 ) = 13.0982 cm^2 Afw = Afw1 + Afw2 = 0.680 + 0.500 = 1.1800 cm^2 APsil = 607.8120 and APpsi2 = 11.2162 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (13.098 + 1.180 ) * (150.008 - 0.5 * 0.513 ) + 5.550 * (150.008 - 0.5 * 0.513 ) + 1.174 * (127.341 - 0.5 * 0.513 ) + 6.312 * (150.008 - 0.5 * 0.513 ) + 0.000 * (0.000 - 0.5 * 0.513 ) = 41.5017 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.513 *(6944.036 +223.711 + .5*607.812 +10.673 +0.50* 11.216 ) = 3.9180 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N1 and N3 are a Group per EN 13445 para 9.6.4 -----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 44.4500 and a2 = deb2/2 = 30.1625 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 44.450 + 30.163 )/(171.569 + 171.569 ) = 0.9217 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 44.450 + 30.163 + 0.922 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 1.1737 , Afb2 = 0.5811 cm^2 Afls = eas * (Lb - a1 - a2)

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= 6.000 * (295.381 - 44.450 - 30.163 ) = 13.2461 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 11.2162 and APpsi2 = 5.0912 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (13.246 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 1.174 * (127.341 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 24.0656 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +10.673 + .5*11.216 +5.475 +0.50* 5.091 ) = 1.9102 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N3 and N4 are a Group per EN 13445 para 9.6.4 -----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 30.1625 and a2 = deb2/2 = 84.1375 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (440.586 + 30.163 + 84.137 )/(171.569 + 171.569 ) = 0.3829 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 440.586 + 30.163 + 84.137 + 0.383 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 440.5855 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 440.586/( 2 * 2450.000 + 0.236 ) = 5.3906 x 10^3 cm^2

Metal area Afb1 = 0.5811 , Afb2 = 4.5587 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (440.586 - 30.163 - 84.137 ) = 19.5771 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 5.0912 and APpsi2 = 39.5486 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (19.577 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 4.559 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 )

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= 38.1426 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(5390.573 +5.475 + .5*5.091 +34.787 +0.50* 39.549 ) = 2.8631 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N4 and N5 are a Group per EN 13445 para 9.6.4 -----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 84.1375 and a2 = deb2/2 = 30.1625 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (440.586 + 84.137 + 30.163 )/(171.569 + 171.569 ) = 0.3829 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 440.586 + 84.137 + 30.163 + 0.383 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 440.5855 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 440.586/( 2 * 2450.000 + 0.236 ) = 5.3906 x 10^3 cm^2

Metal area Afb1 = 4.5587 , Afb2 = 0.5811 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (440.586 - 84.137 - 30.163 ) = 19.5771 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 39.5486 and APpsi2 = 5.0912 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (19.577 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 4.559 * (127.341 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 38.1426 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(5390.573 +34.787 + .5*39.549 +5.475 +0.50* 5.091 ) = 2.8631 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N5 and N6 are a Group per EN 13445 para 9.6.4 -----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm.

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a1 = deb1/2 = 30.1625 and a2 = deb2/2 = 16.7005 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 30.163 + 16.701 )/(171.569 + 171.569 ) = 1.0026 as k > 1, set k to 1.00 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 30.163 + 16.701 + 1.000 * (171.569 + 171.569 ) = 685.3827 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 0.5811 , Afb2 = 0.5208 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 30.163 - 16.701 ) = 14.9111 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 5.0912 and APpsi2 = 1.0913 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (14.911 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 25.7643 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +5.475 + .5*5.091 +2.121 +0.50* 1.091 ) = 1.9031 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N6 and N7 are a Group per EN 13445 para 9.6.4 -----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 16.7005 and a2 = deb2/2 = 30.1625 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 16.701 + 30.163 )/(171.569 + 171.569 ) = 1.0026 as k > 1, set k to 1.00 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 16.701 + 30.163 + 1.000 * (171.569 + 171.569 ) = 685.3827 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area

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Afb1 = 0.5208 , Afb2 = 0.5811 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 16.701 - 30.163 ) = 14.9111 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 1.0913 and APpsi2 = 5.0912 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (14.911 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 25.7643 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +2.121 + .5*1.091 +5.475 +0.50* 5.091 ) = 1.9031 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N7 and N8 are a Group per EN 13445 para 9.6.4 -----------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 30.1625 and a2 = deb2/2 = 16.7005 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 30.163 + 16.701 )/(171.569 + 171.569 ) = 1.0026 as k > 1, set k to 1.00 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 30.163 + 16.701 + 1.000 * (171.569 + 171.569 ) = 685.3827 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 0.5811 , Afb2 = 0.5208 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 30.163 - 16.701 ) = 14.9111 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 5.0912 and APpsi2 = 1.0913 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (14.911 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 )

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+ 0.521 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 25.7643 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +5.475 + .5*5.091 +2.121 +0.50* 1.091 ) = 1.9031 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N8 and N10 are a Group per EN 13445 para 9.6.4 ------------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 16.7005 and a2 = deb2/2 = 16.7005 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 16.701 + 16.701 )/(171.569 + 171.569 ) = 1.0418 as k > 1, set k to 1.00 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 16.701 + 16.701 + 1.000 * (171.569 + 171.569 ) = 671.9207 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 0.5208 , Afb2 = 0.5208 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 16.701 - 16.701 ) = 15.7188 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 1.0913 and APpsi2 = 1.0913 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (15.719 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 26.9213 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +2.121 + .5*1.091 +2.121 +0.50* 1.091 ) = 1.9003 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N10 and N11 are a Group per EN 13445 para 9.6.4 -------------------------------------------------------

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The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 16.7005 and a2 = deb2/2 = 44.4500 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 16.701 + 44.450 )/(171.569 + 171.569 ) = 0.9610 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 16.701 + 44.450 + 0.961 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 0.5208 , Afb2 = 1.1737 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 16.701 - 44.450 ) = 14.0538 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 1.0913 and APpsi2 = 11.2162 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (14.054 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 1.174 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 25.2226 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +2.121 + .5*1.091 +10.673 +0.50* 11.216 ) = 1.9074 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N11 and N12 are a Group per EN 13445 para 9.6.4 -------------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 44.4500 and a2 = deb2/2 = 16.7005 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 44.450 + 16.701 )/(171.569 + 171.569 ) = 0.9610 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 44.450 + 16.701 + 0.961 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

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Metal area Afb1 = 1.1737 , Afb2 = 0.5208 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 44.450 - 16.701 ) = 14.0538 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 11.2162 and APpsi2 = 1.0913 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (14.054 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 1.174 * (127.341 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 25.2226 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +10.673 + .5*11.216 +2.121 +0.50* 1.091 ) = 1.9074 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N12 and N13 are a Group per EN 13445 para 9.6.4 -------------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 16.7005 and a2 = deb2/2 = 30.1625 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 16.701 + 30.163 )/(171.569 + 171.569 ) = 1.0026 as k > 1, set k to 1.00 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 16.701 + 30.163 + 1.000 * (171.569 + 171.569 ) = 685.3827 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 0.5208 , Afb2 = 0.5811 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 16.701 - 30.163 ) = 14.9111 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 1.0913 and APpsi2 = 5.0912 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p)

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= (14.911 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.521 * (127.341 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 25.7643 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +2.121 + .5*1.091 +5.475 +0.50* 5.091 ) = 1.9031 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately Reinforced

Nozzles N13 and N14 are a Group per EN 13445 para 9.6.4 -------------------------------------------------------

The Nozzles are Installed In a Torispherical Head

ris = (ris1 + ris2)/2 = (2450.000 + 2450.000 )/2 = 2450.0000 mm. a1 = deb1/2 = 30.1625 and a2 = deb2/2 = 44.4500 mm. k = 2 - (Lb + a1 + a2)/(Iso1 + Iso2) = 2 - (295.381 + 30.163 + 44.450 )/(171.569 + 171.569 ) = 0.9217 Lb1 = Lb + a1 + a2 + k * (Iso1 + Iso2) = 295.381 + 30.163 + 44.450 + 0.922 * (171.569 + 171.569 ) = 686.2769 mm. Lb = 295.3812 mm. Apls = 0.25 * (2 * ris)² * Lb / ( 2 * ris + eas ) = 0.25 * (2 * 2450.000 )² * 295.381/( 2 * 2450.000 + 0.236 ) = 3.6140 x 10^3 cm^2

Metal area Afb1 = 0.5811 , Afb2 = 1.1737 cm^2 Afls = eas * (Lb - a1 - a2) = 6.000 * (295.381 - 30.163 - 44.450 ) = 13.2461 cm^2 Afw = Afw1 + Afw2 = 0.500 + 0.500 = 1.0000 cm^2 APsil = 5.0912 and APpsi2 = 11.2162 cm^2

f1 = (Afls + Afw ) * (fs - 0.5 * p) + Afb1 * (fob1 - 0.5 * p) + Afb2 * (fob2 - 0.5 * p) + Afp1 * (fop1 - 0.5 * p) + Afp2 * (fop2 - 0.5 * p) = (13.246 + 1.000 ) * (150.008 - 0.5 * 0.515 ) + 0.581 * (127.341 - 0.5 * 0.515 ) + 1.174 * (127.341 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) + 0.000 * (0.000 - 0.5 * 0.515 ) = 24.0656 x 10^3 Kgf

f2 = P * ( Apls + Apb1 + 0.5 * APpsi1 + Apb2 + 0.5 * APpsi2) = 0.515 *(3613.995 +5.475 + .5*5.091 +10.673 +0.50* 11.216 ) = 1.9102 x 10^3 Kgf

Because f1 > f2: The Group Is Adequately ReinforcedNo interference violations have been detected !

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Please refer to the nozzles treated as isolated openings for more information

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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Design Code: European Std: EN13445-3 2009(E) Issue 1 (2009-07)

Diameter Spec : 2450.000 mm. ID Vessel Design Length, Tangent to Tangent 2450.00 mm.

Distance of Bottom Tangent above Grade 0.00 mm. Specified Datum Line Distance 0.00 mm.

Shell Material X5CrNi18-10, EN10028-7:2007 Lug Material P235GH, EN 10028-2:1992 Nozzle Material X5CrNi18-10, EN 10217-7:2005 Nozzle Material X5CrNi18-10, EN10028-7:2007 Re-Pad Material X5CrNi18-10, EN10028-7:2007

Internal Design Temperature 100 °C Internal Design Pressure 0.500 bars

External Design Temperature 100 °C External Design Pressure 0.300 bars

Maximum Allowable Working Pressure 1.407 bars External Max. Allowable Working Pressure 0.435 bars Hydrostatic Test Pressure 1.943 bars

Wind Design Code No Wind Loads Earthquake Design Code No Seismic

Element Pressures and MAWP: bars

Element Desc | Design Pres. | External | M.A.W.P | Corrosion | + Stat. head | Pressure | | Allowance --------------------------------------------------------------------- Bottom head 0.833 0.300 1.943 0.0000 Shell 0.782 0.300 4.849 0.0000 Top head 0.551 0.300 1.407 0.0000

Liquid Level: 3398.42 mm. Dens.: 0.001 kg./cm^3 Sp. Gr.: 1.000

Element "To" Elev Length Element Thk R e q d T h k Joint Eff Type mm. mm. mm. Int. Ext. Long Circ ----------------------------------------------------------------------- Torisph 50.0 50.0 8.0 3.1 2.5 0.70 0.70 Cylinder 2400.0 2350.0 6.0 0.9 5.2 0.70 0.70 Torisph 2450.0 50.0 8.0 2.7 2.5 0.70 0.70

Element thicknesses are shown as Nominal if specified, otherwise are Minimum

Note: Wind and Earthquake moments include the effects of user defined forces and moments if any exist in the job and were specified to act (compute loads and stresses) during these cases. Also included are moment effects due to eccentric weights if any are present in the input.

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Weights: Fabricated - Bare W/O Removable Internals 2262.7 kg. Shop Test - Fabricated + Water ( Full ) 16717.4 kg. Shipping - Fab. + Rem. Intls.+ Shipping App. 2262.7 kg. Erected - Fab. + Rem. Intls.+ Insul. (etc) 2462.7 kg. Empty - Fab. + Intls. + Details + Wghts. 2462.7 kg. Operating - Empty + Operating Liquid (No CA) 16914.9 kg. Field Test - Empty Weight + Water (Full) 16717.4 kg.

PV Elite is a trademark of Intergraph CADWorx & Analysis Solutions, Inc. 2013

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