M4-228-M4-102-CALC-REV A

8/12/2019 M4-228-M4-102-CALC-REV A

1/64

PLANT REJUVENATION & REVAMP 4 (PRR4)

PROJECT

DOC. NO.:

VD-PRR4-GPP4-STA-CAL-AYFA102-0002DOCUMENT TITLE: DESIGN CALCULATION REQ NO.: AYFA102MSET DOC. NO.: MSET/M4-228/M4-102/DC REVISION: A

SERIAL NO. : M4-228/004 MSET JOB NO: M4-228

CHANGE RECORD

Amendment No. Date ResponsiblePerson

Description Of Change

8/12/2019 M4-228-M4-102-CALC-REV A

2/64

PLANT REJUVENATION & REVAMP 4 (PRR4)

PROJECT

DOC. NO.:

VD-PRR4-GPP4-STA-CAL-AYFA102-0002DOCUMENT TITLE: DESIGN CALCULATION REQ NO.: AYFA102MSET DOC. NO.: MSET/M4-228/M4-102/DC REVISION: A


TABLE OF CONTENT

NO CONTENT PAGE NO.

1 Design Data 5

2 Input Echo 6

3 Nozzle Flange MAWP 11

4 Nozzle Calculation & WRC Calculation 12

5 Nozzle Schedule 64

6 Nozzle Summary 65

7 Vessel Design Summary 66

8/12/2019 M4-228-M4-102-CALC-REV A

3/64

: . .2 2010 2011 & 31.22.20.31 ( 10) :

: : : :

: : 1000 / : . : 3 : 40.3 / : 7 98/02/05 : ( 1997) 1 : : : () : 6402 ( ) ( & ) : 8224 ( ) : 10 : : : 1.0 : 1.0 : .2 2010 2011 , 7, 7.2 ( 1) : : : 3 :

PLANT REJUVENATION & REVAMP 4 (PRR4) PROJECTDOC. NO.:

VD-PRR4-GPP4-STA-CAL-AYFA102-0002

DOCUMENT TITLE: DESIGN DATA REQ NO.: AYFA102

MSET DOC. NO.: MSET/M4-228/M4-102/DC REVISION: A


22

6200540060/20

8/12/2019 M4-228-M4-102-CALC-REV A

4/64

PV Elite 2012 R1 Licensee: MSET ENGINEERING SDN BHD

FileName : M4-228-M4-102-CALC-REV A --------------------------

Input Echo : Step: 1 9:43a Oct 9,2013

PV Elite Vessel Analysis Program: Input Data

Design Internal Pressure (for Hydrotest) 6200.0 kPa

Design Internal Temperature 60 C Type of Hydrotest Hydrostatic

Hydrotest Position Horizontal

Projection of Nozzle from Vessel Top 0.0000 mm

Projection of Nozzle from Vessel Bottom 0.0000 mm

Minimum Design Metal Temperature 20 C

Type of Construction Welded

Special Service None

Miscellaneous Weight Percent 0.0

Use Higher Longitudinal Stresses (Flag) N

Select t for Internal Pressure (Flag) N

Select t for External Pressure (Flag) N

Select t for Axial Stress (Flag) N

Select Location for Stiff. Rings (Flag) N Consider Vortex Shedding N

Perform a Corroded Hydrotest N

Is this a Heat Exchanger No

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

User defined MAWP 0.0000 kPa

User defined MAPnc 0.0000 kPa

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 ASCE-7 93

Basic Wind Speed [V] 112.65 km/hr

Surface Roughness Category C: Open Terrain

Importance Factor 1.0

Type of Surface Moderately Smooth

Base Elevation 0.0000 mm

Percent Wind for Hydrotest 33.0

Using User defined Wind Press. Vs Elev. N

Damping Factor (Beta) for Wind (Ope) 0.0100

Damping Factor (Beta) for Wind (Empty) 0.0000

Damping Factor (Beta) for Wind (Filled) 0.0000

Seismic Design Code UBC 94

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

UBC Importance Factor 1.000

UBC Soil Type S1

UBC Horizontal Force Factor 3.0006

8/12/2019 M4-228-M4-102-CALC-REV A

5/64




UBC Percent Seismic for Hydrotest 0.000

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

Consider MAP New and Cold in Noz. Design N

Consider External Loads for Nozzle Des. Y

Use ASME VIII-1 Appendix 1-9 N

Configuration Directives:

Using Metric Material Databases, ASME II D No

Using ASME VIII-1 Code Case 2695 No

Complete Listing of Vessel Elements and Details:

Element From Node 10

Element To Node 20

Element Type Spherical

Description Left Head Distance "FROM" to "TO" 76.200 mm

Inside Diameter 2400.0 mm

Element Thickness 54.000 mm

Internal Corrosion Allowance 3.0000 mm

Nominal Thickness 54.000 mm

External Corrosion Allowance 0.0000 mm

Design Internal Pressure 6200.0 kPa

Design Temperature Internal Pressure 60 C

Design External Pressure 17.200 kPa

Design Temperature External Pressure 60 C

Effective Diameter Multiplier 1.2

Material Name SA-537

Allowable Stress, Ambient 186.85 MPa Allowable Stress, Operating 186.85 MPa

Allowable Stress, Hydrotest 294.76 MPa

Material Density 0.007750 kg/cm

P Number Thickness 0.0000 mm

Yield Stress, Operating 245.46 MPa

MDMT Curve D

External Pressure Chart Name CS-2

UNS Number K12437

Class / Thickness / Grade 1:: 2 1/2 < t

8/12/2019 M4-228-M4-102-CALC-REV A

6/64





Design Internal Pressure 6200.0 kPa

Design Temperature Internal Pressure 60 C



Effective Diameter Multiplier 1.2 Material Name SA-537

Efficiency, Longitudinal Seam 1.0

Efficiency, Circumferential Seam 1.0


Detail Type Liquid

Detail ID HC

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

Height/Length of Liquid 1590.0 mm

Liquid Density 0.0010000 kg/cm


Detail Type Nozzle Detail ID 45A(Existing)


Nozzle Diameter 76.199997 mm

Nozzle Schedule None

Nozzle Class 600

Layout Angle 50.360199

Blind Flange (Y/N) Y

Weight of Nozzle ( Used if > 0 ) 0.0000 N

Grade of Attached Flange GR 1.1

Nozzle Matl [Normalized] SA-105


Detail Type Nozzle Detail ID 45B(Existing)




Nozzle Class 600







Detail Type Nozzle Detail ID 44B(Existing)




Nozzle Class 600







Detail Type Nozzle Detail ID 44A(Existing)




Nozzle Class 6008

8/12/2019 M4-228-M4-102-CALC-REV A

7/64









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


Element To Node 40

Element Type Spherical

Description Right Head

Distance "FROM" to "TO" 0.0000 mm

Inside Diameter 2400.0 mm

Element Thickness 30.000 mm

Internal Corrosion Allowance 3.0000 mm

Nominal Thickness 34.000 mm


Design Internal Pressure 6200.0 kPa Design Temperature Internal Pressure 60 C



Effective Diameter Multiplier 1.2

Material Name SA-537

Efficiency, Longitudinal Seam 1.0

Efficiency, Circumferential Seam 1.0


Detail Type Liquid

Detail ID HC


Height/Length of Liquid 1590.0 mm Liquid Density 0.001000 kg/cm


Detail Type Nozzle

Detail ID 45A




Nozzle Class 600


Blind Flange (Y/N) N


Grade of Attached Flange GR 1.1 Nozzle Matl SA-105


Detail Type Nozzle

Detail ID 44A




Nozzle Class 600


Blind Flange (Y/N) N


Grade of Attached Flange GR 1.1 Nozzle Matl SA-105


Detail Type Nozzle

Detail ID 44B9

8/12/2019 M4-228-M4-102-CALC-REV A

8/64







Nozzle Class 600


Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 0.0000 N


Nozzle Matl SA-105


Detail Type Nozzle

Detail ID 45B




Nozzle Class 600


Blind Flange (Y/N) N Weight of Nozzle ( Used if > 0 ) 0.0000 N


Nozzle Matl SA-105

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

10

8/12/2019 M4-228-M4-102-CALC-REV A

9/64



Nozzle Flange MAWP : Step: 6 9:43a Oct 9,2013

Nozzle Flange MAWP Results :

Nozzle ----- Flange Rating

Description Operating Ambient Temperature Class Grade|Group

kPa kPa C ----------------------------------------------------------------------------

45A(Existing) 9880.0 10210.0 60 600 GR 1.1

45B(Existing) 9880.0 10210.0 60 600 GR 1.1

44B(Existing) 9880.0 10210.0 60 600 GR 1.1

44A(Existing) 9880.0 10210.0 60 600 GR 1.1

45A 9880.0 10210.0 60 600 GR 1.1

44A 9880.0 10210.0 60 600 GR 1.1

44B 9880.0 10210.0 60 600 GR 1.1

45B 9880.0 10210.0 60 600 GR 1.1

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

Minimum Rating 9880.0 10210.0 kPa

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


11

8/12/2019 M4-228-M4-102-CALC-REV A

10/64



Nozzle Calcs. : 45A(Existing) Nozl: 9 9:43a Oct 9,2013

INPUT VALUES, Nozzle Description: 45A(Existing) From : 20

Pressure for Reinforcement Calculations P 6200.000 kPa

Temperature for Internal Pressure Temp 60 C

Design External Pressure Pext 17.20 kPaTemperature for External Pressure Tempex 60 C

Shell Material SA-537

Shell Allowable Stress at Temperature S 186.85 MPa

Shell Allowable Stress At Ambient Sa 186.85 MPa

Inside Diameter of Cylindrical Shell D 2400.00 mm

Design Length of Section L 6796.2007 mm

Shell Finished (Minimum) Thickness t 54.0000 mm

Shell Internal Corrosion Allowance c 3.0000 mm

Shell External Corrosion Allowance co 0.0000 mm

Distance from Cylinder/Cone Centerline L1 800.0000 mm

Distance from Bottom/Left Tangent 2396.2000 mm

User Entered Minimum Design Metal Temperature 20.00 C

Type of Element Connected to the Shell : Nozzle

Material [Normalized] SA-105

Material UNS Number K03504

Material Specification/Type Forgings

Allowable Stress at Temperature Sn 157.80 MPa

Allowable Stress At Ambient Sna 165.50 MPa

Diameter Basis (for tr calc only) ID

Layout Angle 50.36 deg

Diameter 76.2000 mm.

Size and Thickness Basis Actual

Actual Thickness tn 20.6000 mm

Flange Material [Normalized] SA-105

Flange Type Long Weld Neck

Corrosion Allowance can 3.0000 mm

Outside Projection ho 190.5000 mmWeld leg size between Nozzle and Pad/Shell Wo 10.0000 mm

Groove weld depth between Nozzle and Vessel Wgnv 54.0000 mm

Inside Projection h 0.0000 mm

Weld leg size, Inside Element to Shell Wi 0.0000 mm

Class of attached Flange 600

Grade of attached Flange GR 1.1

The Pressure Design option was Design Pressure + static head.

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

| | | |

| |

| |

____________/| |

| \ | |12

8/12/2019 M4-228-M4-102-CALC-REV A

11/64




| \ | |

|____________\|__|

Insert Nozzle No Pad, no Inside projection

Reinforcement CALCULATION, Description: 45A(Existing)

ASME Code, Section VIII, Division 2, 2010, 2011a, Section 4.5.1 - 4.5.14

Actual Inside Diameter Used in Calculation 76.200 mm.

Actual Thickness Used in Calculation 20.600 mm

Nozzle input data check completed without errors.

Cylindrical Shell Calculation - Section 4.3.3.1

Computed Minimum Required Thickness [t]: = 0.5*D*( exp( P/(S*E) )-1)+ci+co

= 0.5*82.200 *(exp( 6200.000/(157.800 *1.000 ))-1) + 3.000 + 0.000 = 1.6471 + 3.000 + 0.000 = 4.6471 mm Equation 4.3.1

Computed Maximum Allowable Working Pressure [MAWP]: = S * E * Ln( ( 2*t + D ) / D ) - Pliq

= 157.800 * 1.000 * Ln( ( 2*17.600 + 82.200 )/82.200 ) - 0.000

= 56241.645 - 0.000 = 56241.6445 kPa

Nozzle Minimum Thickness per Table 4.5.2Min. required Nozzle Neck Thickness + c : 0.344 in. 8.730 mm

Nozzle Calculations per Section 4.5: Internal Pressure Case:

Nozzle Material Factor [frn]: = min[Sn/S, 1]

= min[157.8/186.9 , 1]

= 0.845

Thickness of Nozzle [tn]: = thickness - corrosion allowance

= 20.600 - 3.000

= 17.600 mm

Shell Diameter to Thickness ratio [D/t]: = Di/t

= 2406.000/51.000

= 47.176 must be less than 400.

Effective Pressure Radius [Reff]: = Di/2 + corrosion allowance

= 2400.000/2 + 3.000

= 1203.000 mm

Effective Length of Vessel Wall [LR]: = min( sqrt( Reff * t ), 2 * Rn )

= min( sqrt( 1203.000 * 51.000 ), 2 * 41.100 )

= 82.200 mm

Thickness Limit Candidate [LH1]:

= min[1.5t,te] + sqrt( Rn * tn ) = min[1.5*51.000 , 0.000 ] + sqrt( 41.100 * 17.600 )

= 26.895 mm

Thickness Limit Candidate [LH2]: = Lpr1

13

8/12/2019 M4-228-M4-102-CALC-REV A

12/64




= 190.500

= 190.500 mm

Thickness Limit Candidate [LH3]: = 8( t + te )

= 8( 51.000 + 0.000 ) = 408.000 mm

Effective Nozzle Wall Length Outside the Vessel [LH]: = min[ LH1, LH2, LH3 ] + t for set-in nozzles

= min[ 26.895 , 190.500 , 408.000 ) + 0.000

= 77.895 mm

Effective Vessel Thickness [teff]: = t + (( A5 * frp ) / LR )

= 51.000+((0.000*1.00)/82.200)

= 51.000 mm

Determine Parameter [Lamda]: = min( 12, ( 2*Rn + tn )/( sqrt( ( Di + teff ) * teff )) )

= min( 12, (2*41.10 + 17.600 )/( sqrt((2406.00 + 51.000 ) * 51.000 )) )

= 0.282

Compute Areas A1-A43 (No Pad) or A1-A5 (With Pad) :

Area Contributed by the Vessel Wall [A1]: = t * LR * max( (Lamda/5)^(0.85), 1 )

= 51.000 * 82.200 * max( (0.282/5)^(0.85), 1 )

= 4192.200 mm

Area Contributed by the Nozzle Outside the Vessel Wall [A2]:

= tn * LH = 17.600 * 77.895

= 1370.958 mm

Area Contributed by the Outside Fillet Weld [A41]: = 0.5 * Leg41^(2)

= 0.5 * 10.000^(2)

= 50.000 mm

The total area contributed by A1 through A43 [AT]: = A1 + frn( A2 + A3 ) + A41 + A42 + A43

= 4192.200+0.845(1370.958+0.000)+50.000+0.000+0.000

= 5399.984 mm

Angle [Theta1]: = cos^(-1)[Dx/Reff]

= cos^(-1)[800.000/1203.000 ]

= 0.843

Angle [Theta2]: = cos^(-1)[(Dx+Rn)/Reff]

= cos^(-1)[(800.000 + 41.100 )/1203.000 ]

= 0.797

Nozzle Radius for Force Calculation [Rxn]: = tn / ln[1 + tn/Rn ]

= 17.600/ln[ 1 + 17.600/41.100 ] = 49.378 mm

Shell Radius for Force Calculation [Rxs]: = teff / ln[ 1 + teff/Reff ]

= 51.000/ln[ 1 + 51.000/1203.000 ]14

8/12/2019 M4-228-M4-102-CALC-REV A

13/64




= 1228.323 mm

Allowable Local Primary Membrane Stress [Sallow]: = 1.5 * S * E

= 1.5 * 186.855 * 1.000

= 280.3 MPa

Determine Force acting on the Nozzle [fN]: = P * Rxn * LH

= 6200.000 * 49.378 * 77.895

= 23846.7 N

Determine Force acting on the Shell [fS]: = P * Rxs * ( LR + tn )

= 6200.000 * 1228.323 * ( 82.200 + 17.600 )

= 760016.4 N

Discontinuity Force from Internal Pressure [fY]:

= P * Rxs * Rnc = 6200.000 * 1228.323 * 41.100

= 312992.7 N

Area Resisting Internal Pressure [Ap]: = ( fS + fY + fN )/P

= ( 760016 + 312992.7 + 23846.7 )/6200.000

= 176917.0 mm

Maximum Allowable Working Pressure Candidate [Pmax1]: = Sallow /( 2 * Ap/AT - Rxs/teff )

= 280.282/( 2 * 176916.984/5399.984 - 1228.323/51.000 )

= 6763.1 kPa

Maximum Allowable Working Pressure Candidate [Pmax2]: = S[t/Rxs]

= 186.855 [51.000/1228.323 ]

= 7757.8 kPa

Maximum Allowable Working Pressure [Pmax]: = min( Pmax1, Pmax2 )

= min( 6763.123 , 7757.755 )

= 6763.123 kPa

Average Primary Membrane Stress [SigmaAvg]: = ( fN + fS + fY ) / AT

= ( 23846.684 + 760016 + 312992.719 )/5399.984 = 203.139 MPa

General Primary Membrane Stress [SigmaCirc]: = P * Rxs / teff

= 6200.000 * 1228.323/51.000

= 149.3 MPa

Maximum Local Primary Membrane Stress [PL]: = max( 2 * SigmaAvg - SigmaCirc, SigmaCirc )

= max( 2 * 203.139 - 149.334 , 149.334 )

= 256.9 MPa

Summary of Nozzle Pressure/Stress Results:Allowed Local Primary Membrane Stress Sallow 280.28 MPa

Local Primary Membrane Stress PL 256.94 MPa

Maximum Allowable Working Pressure Pmax 6763.12 kPa

Strength of Nozzle Attachment Welds per 4.5.1415

8/12/2019 M4-228-M4-102-CALC-REV A

14/64




Discontinuity Force Factor [ky]: = ( Rnc + tn ) / Rnc

= ( 41.100 + 17.600 )/41.100

= 1.428 For set-in Nozzles

Weld Length of Nozzle to Shell Weld for non-radial Nozzles [Ltau]: = pi/2 * sqrt((( Rnc+Tn )^(2) + ( Rn+Tn )^(2) )/2 )

= pi/2 * sqrt((( 41.100 + 17.600 )^(2) + ( 41.100 + 17.600 )^(2) )/2 )

= 92.206 mm

Weld Throat Dimensions, (0.7071*Leg Dimensions) [L41T, L42T, L43T]: = 7.071, 0.000, 0.000, mm

Weld Load Value [fwelds]: = min( fy * ky, 1.5 * Sn( A2 + A3 ), pi/4*P*Rn^2*ky^2 )

= min(312992*1.43,1.5*157.8(1370.958+0.000),pi/4*6200.0*41.10^2*1.43^2)

= 16778.227 N

Weld Stress Value [tau]: = fwelds/(Ltau(0.49*L41T + 0.6*tw1 + 0.49*L43T ) )

= 16778.227/(92.206 (0.49*7.071 + 0.6*51.000 + 0.49*0.000 ) )

= 5.342 < or = to 186.855 Weld Size is OK

Nozzle Calculations per Section 4.5: External Pressure Case:


= cos^(-1)[800.000/1203.000 ]

= 0.843


= cos^(-1)[(800.000 + 41.100 )/1203.000 ]

= 0.797


= 17.600/ln[ 1 + 17.600/41.100 ]

= 49.378 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]

= 1228.323 mm

Allowable Local Primary Membrane Stress [Sallow]: = Shell Fha Value

= 86.986

= 87.0 MPa


= 17.200 * 49.378 * 77.895

= 66.2 N

Determine Force acting on the Shell [fS]:

= P * Rxs * ( LR + tn ) = 17.200 * 1228.323 * ( 82.200 + 17.600 )

= 2108.4 N

Discontinuity Force from External Pressure [fY]: = P * Rxs * Rnc

16

8/12/2019 M4-228-M4-102-CALC-REV A

15/64




= 17.200 * 1228.323 * 41.100

= 868.3 N

Area Resisting External Pressure [Ap]: = ( fS + fY + fN )/P

= ( 2108.4 + 868.3 + 66.2 )/17.200 = 176917.0 mm


= 86.986/( 2 * 176917.016/5399.984 - 1228.323/51.000 )

= 2098.9 kPa

Maximum Allowable Working Pressure Candidate [Pmax2]: = min( Shell Fha, Nozzle Fha ) * [t/Rxs]

= 86.986 [51.000/1228.323 ]

= 3611.4 kPa


= min( 2098.941 , 3611.439 )

= 2098.941 kPa


= ( 66.155 + 2108.433 + 868.302 )/5399.984

= 0.564 MPa


= 17.200 * 1228.323/51.000

= 0.4 MPa


= max( 2 * 0.564 - 0.414 , 0.414 )

= 0.7 MPa



Maximum Allowable External Pressure Pmax 2098.94 kPa

Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:

Nozzle MDMT per 3.7, (Nozzle to Shell/Head Weld), Curve: C ----------------------------------------------------------------------

This element is Post Weld Heat Treated PWHT

Computed Minimum Design Metal Temperature : -104 C

User entered Minimum Design Temperature : 20 C

The curve for this material is curve : C

As the Stress Ratio < 0.241, the MDMT is : -104 C

The computed stress ratio is : 0.089

The computed stress ratio [sr]:

= ( tr * E* ) / ( tnom - ci - cext ) = ( 1.569 * 1.00 )/( 20.600 - 3.000 - 0.000 )

= 0.089

Governing MDMT of all the sub-joints of this Junction : -104 C

17

8/12/2019 M4-228-M4-102-CALC-REV A

16/64




ANSI Flange MDMT including temperature reduction per 3.11:Flange MDMT with Temp reduction -48 C

The Drop for this Nozzle is : 56.1943 mmThe Cut Length for this Nozzle is, Drop + Ho + H + T : 317.9358 mm


18

8/12/2019 M4-228-M4-102-CALC-REV A

17/64



Nozzle Calcs. : 45B(Existing) Nozl: 10 9:43a Oct 9,2013

INPUT VALUES, Nozzle Description: 45B(Existing) From : 20





































| | | |

| |

| |

____________/| |

| \ | |19

8/12/2019 M4-228-M4-102-CALC-REV A

18/64




| \ | |

|____________\|__|


Reinforcement CALCULATION, Description: 45B(Existing)







= 0.5*82.200 *(exp( 6212.270/(157.800 *1.000 ))-1) + 3.000 + 0.000 = 1.6504 + 3.000 + 0.000 = 4.6504 mm Equation 4.3.1


= 157.800 * 1.000 * Ln( ( 2*17.600 + 82.200 )/82.200 ) - 0.000

= 56241.645 - 0.000 = 56241.6445 kPa




= min[157.8/186.9 , 1]

= 0.845


= 20.600 - 3.000

= 17.600 mm


= 2406.000/51.000



= 2400.000/2 + 3.000

= 1203.000 mm


= min( sqrt( 1203.000 * 51.000 ), 2 * 41.100 )

= 82.200 mm



= 26.895 mm


20

8/12/2019 M4-228-M4-102-CALC-REV A

19/64




= 190.500

= 190.500 mm


= 8( 51.000 + 0.000 ) = 408.000 mm


= min[ 26.895 , 190.500 , 408.000 ) + 0.000

= 77.895 mm


= 51.000+((0.000*1.00)/82.200)

= 51.000 mm


= min( 12, (2*41.10 + 17.600 )/( sqrt((2406.00 + 51.000 ) * 51.000 )) )

= 0.282



= 51.000 * 82.200 * max( (0.282/5)^(0.85), 1 )

= 4192.200 mm


= tn * LH = 17.600 * 77.895

= 1370.958 mm


= 0.5 * 10.000^(2)

= 50.000 mm


= 4192.200+0.845(1370.958+0.000)+50.000+0.000+0.000

= 5399.984 mm


= cos^(-1)[900.000/1203.000 ]

= 0.726


= cos^(-1)[(900.000 + 41.100 )/1203.000 ]

= 0.672

Warning : The major/minor diameter axis ratio for this nozzleexceeds the limit of 1.5 given in Division 2. Please

refer to the Code for more details. [AD-501(a)(1)] or [4.5.2.1].


= 17.600/ln[ 1 + 17.600/41.100 ]21

8/12/2019 M4-228-M4-102-CALC-REV A

20/64




= 49.378 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]

= 1228.323 mm


= 1.5 * 186.855 * 1.000

= 280.3 MPa


= 6212.270 * 49.378 * 77.895

= 23893.9 N


= P * Rxs * ( LR + tn ) = 6212.270 * 1228.323 * ( 82.200 + 17.600 )

= 761520.4 N

Discontinuity Force from Internal Pressure [fY]: = P * Rxs * Rnc

= 6212.270 * 1228.323 * 41.100

= 313612.1 N


= ( 761520 + 313612.1 + 23893.9 )/6212.270

= 176917.0 mm


= 280.282/( 2 * 176917.016/5399.984 - 1228.323/51.000 )

= 6763.1 kPa


= 186.855 [51.000/1228.323 ]

= 7757.8 kPa


= min( 6763.122 , 7757.755 ) = 6763.122 kPa


= ( 23893.873 + 761520 + 313612.125 )/5399.984

= 203.541 MPa


= 6212.270 * 1228.323/51.000

= 149.6 MPa


= max( 2 * 203.541 - 149.630 , 149.630 )

= 257.5 MPa

Summary of Nozzle Pressure/Stress Results:22

8/12/2019 M4-228-M4-102-CALC-REV A

21/64




Allowed Local Primary Membrane Stress Sallow 280.28 MPa





= ( 41.100 + 17.600 )/41.100



= pi/2 * sqrt((( 41.100 + 17.600 )^(2) + ( 41.100 + 17.600 )^(2) )/2 )

= 92.206 mm



= min(313612*1.43,1.5*157.8(1370.958+0.000),pi/4*6212.3*41.10^2*1.43^2)

= 16811.428 N


= 16811.428/(92.206 (0.49*7.071 + 0.6*51.000 + 0.49*0.000 ) )




= cos^(-1)[900.000/1203.000 ]

= 0.726


= cos^(-1)[(900.000 + 41.100 )/1203.000 ]

= 0.672

Warning : The major/minor diameter axis ratio for this nozzleexceeds the limit of 1.5 given in Division 2. Pleaserefer to the Code for more details. [AD-501(a)(1)] or [4.5.2.1].


= 17.600/ln[ 1 + 17.600/41.100 ]

= 49.378 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]

= 1228.323 mm

Allowable Local Primary Membrane Stress [Sallow]:

= Shell Fha Value = 86.986

= 87.0 MPa


23

8/12/2019 M4-228-M4-102-CALC-REV A

22/64




= 17.200 * 49.378 * 77.895

= 66.2 N


= 17.200 * 1228.323 * ( 82.200 + 17.600 ) = 2108.4 N


= 17.200 * 1228.323 * 41.100

= 868.3 N


= ( 2108.4 + 868.3 + 66.2 )/17.200

= 176917.0 mm


= 86.986/( 2 * 176917.016/5399.984 - 1228.323/51.000 )

= 2098.9 kPa


= 86.986 [51.000/1228.323 ]

= 3611.4 kPa


= min( 2098.941 , 3611.439 )

= 2098.941 kPa


= ( 66.155 + 2108.433 + 868.302 )/5399.984

= 0.564 MPa


= 17.200 * 1228.323/51.000

= 0.4 MPa

Maximum Local Primary Membrane Stress [PL]:

= max( 2 * SigmaAvg - SigmaCirc, SigmaCirc ) = max( 2 * 0.564 - 0.414 , 0.414 )

= 0.7 MPa






This element is Post Weld Heat Treated PWHTComputed Minimum Design Metal Temperature : -104 C



24

8/12/2019 M4-228-M4-102-CALC-REV A

23/64






The computed stress ratio [sr]: = ( tr * E* ) / ( tnom - ci - cext )

= ( 1.572 * 1.00 )/( 20.600 - 3.000 - 0.000 ) = 0.089





25

8/12/2019 M4-228-M4-102-CALC-REV A

24/64




INPUT VALUES, Nozzle Description: 44B(Existing) From : 20





































| | | |

| |

| |

____________/| |

| \ | |26

8/12/2019 M4-228-M4-102-CALC-REV A

25/64




| \ | |

|____________\|__|


Reinforcement CALCULATION, Description: 44B(Existing)







= 0.5*56.800 *(exp( 6212.270/(157.800 *1.000 ))-1) + 3.000 + 0.000 = 1.1404 + 3.000 + 0.000 = 4.1404 mm Equation 4.3.1


= 157.800 * 1.000 * Ln( ( 2*13.700 + 56.800 )/56.800 ) - 0.000

= 62115.734 - 0.000 = 62115.7344 kPa




= min[157.8/186.9 , 1]

= 0.845


= 16.700 - 3.000

= 13.700 mm


= 2406.000/51.000



= 2400.000/2 + 3.000

= 1203.000 mm


= min( sqrt( 1203.000 * 51.000 ), 2 * 28.400 )

= 56.800 mm



= 19.725 mm


27

8/12/2019 M4-228-M4-102-CALC-REV A

26/64




= 196.850

= 196.850 mm


= 8( 51.000 + 0.000 ) = 408.000 mm


= min[ 19.725 , 196.850 , 408.000 ) + 0.000

= 70.725 mm


= 51.000+((0.000*1.00)/56.800)

= 51.000 mm


= min( 12, (2*28.40 + 13.700 )/( sqrt((2406.00 + 51.000 ) * 51.000 )) )

= 0.199



= 51.000 * 56.800 * max( (0.199/5)^(0.85), 1 )

= 2896.800 mm


= tn * LH = 13.700 * 70.725

= 968.934 mm


= 0.5 * 10.000^(2)

= 50.000 mm


= 2896.800+0.845(968.934+0.000)+50.000+0.000+0.000

= 3765.072 mm


= cos^(-1)[900.000/1203.000 ]

= 0.726


= cos^(-1)[(900.000 + 28.400 )/1203.000 ]

= 0.689

Warning : The major/minor diameter axis ratio for this nozzleexceeds the limit of 1.5 given in Division 2. Please

refer to the Code for more details. [AD-501(a)(1)] or [4.5.2.1].


= 13.700/ln[ 1 + 13.700/28.400 ]28

8/12/2019 M4-228-M4-102-CALC-REV A

27/64




= 34.802 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]

= 1228.323 mm


= 1.5 * 186.855 * 1.000

= 280.3 MPa


= 6212.270 * 34.802 * 70.725

= 15290.2 N


= P * Rxs * ( LR + tn ) = 6212.270 * 1228.323 * ( 56.800 + 13.700 )

= 537947.8 N

Discontinuity Force from Internal Pressure [fY]: = P * Rxs * Rnc

= 6212.270 * 1228.323 * 28.400

= 216705.2 N


= ( 537947 + 216705.2 + 15290.2 )/6212.270

= 123942.5 mm


= 280.282/( 2 * 123942.461/3765.072 - 1228.323/51.000 )

= 6712.4 kPa


= 186.855 [51.000/1228.323 ]

= 7757.8 kPa


= min( 6712.419 , 7757.755 ) = 6712.419 kPa


= ( 15290.192 + 537947 + 216705.203 )/3765.072

= 204.514 MPa


= 6212.270 * 1228.323/51.000

= 149.6 MPa


= max( 2 * 204.514 - 149.630 , 149.630 )

= 259.4 MPa

Summary of Nozzle Pressure/Stress Results:29

8/12/2019 M4-228-M4-102-CALC-REV A

28/64




Allowed Local Primary Membrane Stress Sallow 280.28 MPa





= ( 28.400 + 13.700 )/28.400



= pi/2 * sqrt((( 28.400 + 13.700 )^(2) + ( 28.400 + 13.700 )^(2) )/2 )

= 66.131 mm



= min(216705*1.48,1.5*157.8(968.934+0.000),pi/4*6212.3*28.40^2*1.48^2)

= 8647.541 N


= 8647.541/(66.131 (0.49*7.071 + 0.6*51.000 + 0.49*0.000 ) )




= cos^(-1)[900.000/1203.000 ]

= 0.726


= cos^(-1)[(900.000 + 28.400 )/1203.000 ]

= 0.689

Warning : The major/minor diameter axis ratio for this nozzleexceeds the limit of 1.5 given in Division 2. Pleaserefer to the Code for more details. [AD-501(a)(1)] or [4.5.2.1].


= 13.700/ln[ 1 + 13.700/28.400 ]

= 34.802 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]

= 1228.323 mm

Allowable Local Primary Membrane Stress [Sallow]:

= Shell Fha Value = 86.986

= 87.0 MPa


30

8/12/2019 M4-228-M4-102-CALC-REV A

29/64




= 17.200 * 34.802 * 70.725

= 42.3 N


= 17.200 * 1228.323 * ( 56.800 + 13.700 ) = 1489.4 N


= 17.200 * 1228.323 * 28.400

= 600.0 N


= ( 1489.4 + 600.0 + 42.3 )/17.200

= 123942.5 mm


= 86.986/( 2 * 123942.461/3765.072 - 1228.323/51.000 )

= 2083.2 kPa


= 86.986 [51.000/1228.323 ]

= 3611.4 kPa


= min( 2083.205 , 3611.439 )

= 2083.205 kPa


= ( 42.334 + 1489.424 + 599.995 )/3765.072

= 0.566 MPa


= 17.200 * 1228.323/51.000

= 0.4 MPa

Maximum Local Primary Membrane Stress [PL]:

= max( 2 * SigmaAvg - SigmaCirc, SigmaCirc ) = max( 2 * 0.566 - 0.414 , 0.414 )

= 0.7 MPa






This element is Post Weld Heat Treated PWHTComputed Minimum Design Metal Temperature : -104 C



31

8/12/2019 M4-228-M4-102-CALC-REV A

30/64







= ( 1.086 * 1.00 )/( 16.700 - 3.000 - 0.000 ) = 0.079





32

8/12/2019 M4-228-M4-102-CALC-REV A

31/64




INPUT VALUES, Nozzle Description: 44A(Existing) From : 20





































| | | |

| |

| |

____________/| |

| \ | |33

8/12/2019 M4-228-M4-102-CALC-REV A

32/64




| \ | |

|____________\|__|


Reinforcement CALCULATION, Description: 44A(Existing)







= 0.5*56.800 *(exp( 6200.000/(157.800 *1.000 ))-1) + 3.000 + 0.000 = 1.1381 + 3.000 + 0.000 = 4.1381 mm Equation 4.3.1


= 157.800 * 1.000 * Ln( ( 2*13.700 + 56.800 )/56.800 ) - 0.000

= 62115.734 - 0.000 = 62115.7344 kPa




= min[157.8/186.9 , 1]

= 0.845


= 16.700 - 3.000

= 13.700 mm


= 2406.000/51.000



= 2400.000/2 + 3.000

= 1203.000 mm


= min( sqrt( 1203.000 * 51.000 ), 2 * 28.400 )

= 56.800 mm



= 19.725 mm


34

8/12/2019 M4-228-M4-102-CALC-REV A

33/64




= 196.850

= 196.850 mm


= 8( 51.000 + 0.000 ) = 408.000 mm


= min[ 19.725 , 196.850 , 408.000 ) + 0.000

= 70.725 mm


= 51.000+((0.000*1.00)/56.800)

= 51.000 mm


= min( 12, (2*28.40 + 13.700 )/( sqrt((2406.00 + 51.000 ) * 51.000 )) )

= 0.199



= 51.000 * 56.800 * max( (0.199/5)^(0.85), 1 )

= 2896.800 mm


= tn * LH = 13.700 * 70.725

= 968.934 mm


= 0.5 * 10.000^(2)

= 50.000 mm


= 2896.800+0.845(968.934+0.000)+50.000+0.000+0.000

= 3765.072 mm


= cos^(-1)[800.000/1203.000 ]

= 0.843


= cos^(-1)[(800.000 + 28.400 )/1203.000 ]

= 0.811


= 13.700/ln[ 1 + 13.700/28.400 ] = 34.802 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]35

8/12/2019 M4-228-M4-102-CALC-REV A

34/64




= 1228.323 mm


= 1.5 * 186.855 * 1.000

= 280.3 MPa


= 6200.000 * 34.802 * 70.725

= 15260.0 N


= 6200.000 * 1228.323 * ( 56.800 + 13.700 )

= 536885.3 N


= P * Rxs * Rnc = 6200.000 * 1228.323 * 28.400

= 216277.2 N


= ( 536885 + 216277.2 + 15260.0 )/6200.000

= 123942.5 mm


= 280.282/( 2 * 123942.461/3765.072 - 1228.323/51.000 )

= 6712.4 kPa


= 186.855 [51.000/1228.323 ]

= 7757.8 kPa


= min( 6712.419 , 7757.755 )

= 6712.419 kPa


= ( 15259.994 + 536885 + 216277.219 )/3765.072 = 204.110 MPa


= 6200.000 * 1228.323/51.000

= 149.3 MPa


= max( 2 * 204.110 - 149.334 , 149.334 )

= 258.9 MPa





8/12/2019 M4-228-M4-102-CALC-REV A

35/64





= ( 28.400 + 13.700 )/28.400



= pi/2 * sqrt((( 28.400 + 13.700 )^(2) + ( 28.400 + 13.700 )^(2) )/2 )

= 66.131 mm



= min(216277*1.48,1.5*157.8(968.934+0.000),pi/4*6200.0*28.40^2*1.48^2)

= 8630.462 N


= 8630.462/(66.131 (0.49*7.071 + 0.6*51.000 + 0.49*0.000 ) )




= cos^(-1)[800.000/1203.000 ]

= 0.843


= cos^(-1)[(800.000 + 28.400 )/1203.000 ]

= 0.811


= 13.700/ln[ 1 + 13.700/28.400 ]

= 34.802 mm


= 51.000/ln[ 1 + 51.000/1203.000 ]

= 1228.323 mm


= 86.986

= 87.0 MPa


= 17.200 * 34.802 * 70.725

= 42.3 N


= P * Rxs * ( LR + tn ) = 17.200 * 1228.323 * ( 56.800 + 13.700 )

= 1489.4 N


37

8/12/2019 M4-228-M4-102-CALC-REV A

36/64




= 17.200 * 1228.323 * 28.400

= 600.0 N


= ( 1489.4 + 600.0 + 42.3 )/17.200 = 123942.5 mm


= 86.986/( 2 * 123942.461/3765.072 - 1228.323/51.000 )

= 2083.2 kPa


= 86.986 [51.000/1228.323 ]

= 3611.4 kPa


= min( 2083.205 , 3611.439 )

= 2083.205 kPa


= ( 42.334 + 1489.424 + 599.995 )/3765.072

= 0.566 MPa


= 17.200 * 1228.323/51.000

= 0.4 MPa


= max( 2 * 0.566 - 0.414 , 0.414 )

= 0.7 MPa












The computed stress ratio [sr]:

= ( tr * E* ) / ( tnom - ci - cext ) = ( 1.084 * 1.00 )/( 16.700 - 3.000 - 0.000 )

= 0.079


38

8/12/2019 M4-228-M4-102-CALC-REV A

37/64







39

8/12/2019 M4-228-M4-102-CALC-REV A

38/64



Nozzle Calcs. : 45A Nozl: 13 9:43a Oct 9,2013

INPUT VALUES, Nozzle Description: 45A From : 30







Inside Diameter of Hemispherical Head D 2400.00 mm

Head Finished (Minimum) Thickness t 30.0000 mm

Head Internal Corrosion Allowance c 3.0000 mm

Head External Corrosion Allowance co 0.0000 mm

Distance from Head Centerline L1 894.4270 mm



Material SA-105










Flange Material SA-105



Outside Projection ho 190.5000 mm

Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm


Inside Projection h 0.0000 mmWeld leg size, Inside Element to Shell Wi 0.0000 mm





| |

| |

| |

| | ____________/| |

| \ | |

| \ | |

|____________\|__|

40

8/12/2019 M4-228-M4-102-CALC-REV A

39/64





Reinforcement CALCULATION, Description: 45A







= 0.5*82.200 *(exp( 6200.000/(157.760 *1.000 ))-1) + 3.000 + 0.000

= 1.6475 + 3.000 + 0.000 = 4.6475 mm Equation 4.3.1


= 157.760 * 1.000 * Ln( ( 2*17.600 + 82.200 )/82.200 ) - 0.000

= 56227.305 - 0.000 = 56227.3047 kPa




= min[157.8/186.9 , 1]

= 0.844


= 20.600 - 3.000

= 17.600 mm


= 2406.000/27.000


Effective Pressure Radius [Reff]:

= Di/2 + corrosion allowance = 2400.000/2 + 3.000

= 1203.000 mm


= min( sqrt( 1203.000 * 27.000 ), 2 * 41.100 )

= 82.200 mm

Intermediate value [Cn]: = min( (( t + te )/tn)^0.35, 1 )

= min( (( 27.000 + 0.000 )/17.600 )^0.35, 1 )

= min( 1.162 , 1 )

= 1.000

Intermediate value [Cp]: = 9999999.000

Effective Nozzle Wall Length Outside the Vessel [LH]:41

8/12/2019 M4-228-M4-102-CALC-REV A

40/64




= min( t + te + Fp * sqrt( Rn*tn ), Lpr1 + t )

= min(27.000+0.000+1.000*sqrt(41.100*17.600),190.500+27.000)

= 53.895 mm

Effective Vessel Thickness [teff]:

= t + (( A5 * frp ) / LR ) = 27.000+((0.000*1.00)/82.200)

= 27.000 mm


Area Contributed by the Vessel Wall [A1]: = t * LR

= 27.000 * 82.200

= 2219.400 mm

Area Contributed by the Nozzle Outside the Vessel Wall [A2]: = tn * LH

= 17.600 * 53.895 = 948.558 mm


= 0.5 * 10.000^(2)

= 50.000 mm


= 2219.400+0.844(948.558+0.000)+50.000+0.000+0.000

= 3070.260 mm


= 17.600/ln[ 1 + 17.600/41.100 ]

= 49.378 mm


= 27.000/ln[ 1 + 27.000/1203.000 ]

= 1216.450 mm


= 1.5 * 186.855 * 1.000

= 280.3 MPa


= 6200.000 * 49.378 * 53.895

= 16499.4 N

Determine Force acting on the Shell [fS]: = P * Rxs * ( LR + tn )/2

= 6200.000 * 1216.450 * ( 82.200 + 17.600 )/2

= 376335.2 N


= ( P * Rxs * Rnc )/2 = ( 6200.000 * 1216.450 * 61.459 )/2

= 231755.1 N


42

8/12/2019 M4-228-M4-102-CALC-REV A

41/64




= ( 376335.2 + 231755.1 + 16499.4 )/6200.000

= 100743.0 mm

Maximum Allowable Working Pressure Candidate [Pmax1]: = Sallow /( 2 * Ap/AT - Rxs/(2 * teff ) )

= 280.282/( 2 * 100742.977/3070.260 - 1216.450/(2*27.000 ) ) = 6503.0 kPa

Maximum Allowable Working Pressure Candidate [Pmax2]: = 2 * S * [t/Rxs]

= 2 * 186.855 * [27.000/1216.450 ]

= 8294.3 kPa


= min( 6502.952 , 8294.264 )

= 6502.952 kPa


= ( 16499.385 + 376335.156 + 231755.094 )/3070.260

= 203.449 MPa

General Primary Membrane Stress [SigmaCirc]: = P * Rxs / ( 2 * teff )

= 6200.000 * 1216.450/( 2 * 27.000 )

= 139.7 MPa


= max( 2 * 203.449 - 139.675 , 139.675 )

= 267.2 MPa






= ( 61.459 + 17.600 )/61.459



= pi/2 * sqrt((( 61.459 + 17.600 )^(2) + ( 41.100 + 17.600 )^(2) )/2 )

= 109.371 mm



= min(231755*1.29,1.5*157.8(948.558+0.000),pi/4*6200.0*41.10^2*1.29^2)

= 13610.852 N


= 13610.852/(109.371 (0.49*7.071 + 0.6*27.000 + 0.49*0.000 ) )


43

8/12/2019 M4-228-M4-102-CALC-REV A

42/64






= 17.600/ln[ 1 + 17.600/41.100 ]

= 49.378 mm


= 27.000/ln[ 1 + 27.000/1203.000 ]

= 1216.450 mm


= 89.679

= 89.7 MPa

Determine Force acting on the Nozzle [fN]:

= P * Rxn * LH = 17.200 * 49.378 * 53.895

= 45.8 N


= 17.200 * 1216.450 * ( 82.200 + 17.600 )/2

= 1044.0 N

Discontinuity Force from External Pressure [fY]: = ( P * Rxs * Rnc )/2

= ( 17.200 * 1216.450 * 61.459 )/2

= 642.9 N


= ( 1044.0 + 642.9 + 45.8 )/17.200

= 100743.0 mm


= 89.679/( 2 * 100742.977/3070.260 - 1216.450/(2*27.000 ) )

= 2080.7 kPa

Maximum Allowable Working Pressure Candidate [Pmax2]: = 2 * Fha * [t/Rxs]

= 2 * 89.679 * [27.000/1216.450 ] = 3980.8 kPa


= min( 2080.691 , 3980.762 )

= 2080.691 kPa


= ( 45.772 + 1044.027 + 642.933 )/3070.260

= 0.564 MPa


= 17.200 * 1216.450/( 2 * 27.000 )

= 0.4 MPa

Maximum Local Primary Membrane Stress [PL]:44

8/12/2019 M4-228-M4-102-CALC-REV A

43/64




= max( 2 * SigmaAvg - SigmaCirc, SigmaCirc )

= max( 2 * 0.564 - 0.387 , 0.387 )

= 0.7 MPa

Summary of Nozzle Pressure/Stress Results:

Allowed Local Primary Membrane Stress Sallow 89.68 MPaLocal Primary Membrane Stress PL 0.74 MPa



Nozzle MDMT per 3.7, (Nozzle to Shell/Head Weld), Curve: B ----------------------------------------------------------------------




The curve for this material is curve : B




= ( 1.569 * 1.00 )/( 20.600 - 3.000 - 0.000 )

= 0.089





45

8/12/2019 M4-228-M4-102-CALC-REV A

44/64




INPUT VALUES, Nozzle Description: 44A From : 30







Inside Diameter of Hemispherical Head D 2400.00 mm

Head Finished (Minimum) Thickness t 30.0000 mm

Head Internal Corrosion Allowance c 3.0000 mm

Head External Corrosion Allowance co 0.0000 mm

Distance from Head Centerline L1 894.4270 mm



Material SA-105










Flange Material SA-105



Outside Projection ho 196.8500 mm

Weld leg size between Nozzle and Pad/Shell Wo 10.0000 mm


Inside Projection h 0.0000 mmWeld leg size, Inside Element to Shell Wi 0.0000 mm





| |

| |

| |

| | ____________/| |

| \ | |

| \ | |

|____________\|__|

46

8/12/2019 M4-228-M4-102-CALC-REV A

45/64





Reinforcement CALCULATION, Description: 44A







= 0.5*56.800 *(exp( 6200.000/(157.760 *1.000 ))-1) + 3.000 + 0.000

= 1.1384 + 3.000 + 0.000 = 4.1384 mm Equation 4.3.1


= 157.760 * 1.000 * Ln( ( 2*13.700 + 56.800 )/56.800 ) - 0.000

= 62099.898 - 0.000 = 62099.8984 kPa




= min[157.8/186.9 , 1]

= 0.844


= 16.700 - 3.000

= 13.700 mm


= 2406.000/27.000


Effective Pressure Radius [Reff]:

= Di/2 + corrosion allowance = 2400.000/2 + 3.000

= 1203.000 mm


= min( sqrt( 1203.000 * 27.000 ), 2 * 28.400 )

= 56.800 mm

Intermediate value [Cn]: = min( (( t + te )/tn)^0.35, 1 )

= min( (( 27.000 + 0.000 )/13.700 )^0.35, 1 )

= min( 1.268 , 1 )

= 1.000

Intermediate value [Cp]: = 9999999.000

Effective Nozzle Wall Length Outside the Vessel [LH]:47

8/12/2019 M4-228-M4-102-CALC-REV A

46/64




= min( t + te + Fp * sqrt( Rn*tn ), Lpr1 + t )

= min(27.000+0.000+1.000*sqrt(28.400*13.700),196.850+27.000)

= 46.725 mm

Effective Vessel Thickness [teff]:

= t + (( A5 * frp ) / LR ) = 27.000+((0.000*1.00)/56.800)

= 27.000 mm


Area Contributed by the Vessel Wall [A1]: = t * LR

= 27.000 * 56.800

= 1533.600 mm

Area Contributed by the Nozzle Outside the Vessel Wall [A2]: = tn * LH

= 13.700 * 46.725 = 640.134 mm


= 0.5 * 10.000^(2)

= 50.000 mm


= 1533.600+0.844(640.134+0.000)+50.000+0.000+0.000

= 2124.060 mm


= 13.700/ln[ 1 + 13.700/28.400 ]

= 34.802 mm


= 27.000/ln[ 1 + 27.000/1203.000 ]

= 1216.450 mm


= 1.5 * 186.855 * 1.000

= 280.3 MPa


= 6200.000 * 34.802 * 46.725

= 10081.6 N


= 6200.000 * 1216.450 * ( 56.800 + 13.700 )/2

= 265848.0 N


= ( P * Rxs * Rnc )/2 = ( 6200.000 * 1216.450 * 42.468 )/2

= 160142.2 N


48

8/12/2019 M4-228-M4-102-CALC-REV A

47/64




= ( 265848.0 + 160142.2 + 10081.6 )/6200.000

= 70336.1 mm


= 280.282/( 2 * 70336.062/2124.060 - 1216.450/(2*27.000 ) ) = 6413.2 kPa

Maximum Allowable Working Pressure Candidate [Pmax2]: = 2 * S * [t/Rxs]

= 2 * 186.855 * [27.000/1216.450 ]

= 8294.3 kPa


= min( 6413.237 , 8294.264 )

= 6413.237 kPa


= ( 10081.638 + 265847.969 + 160142.219 )/2124.060

= 205.319 MPa


= 6200.000 * 1216.450/( 2 * 27.000 )

= 139.7 MPa


= max( 2 * 205.319 - 139.675 , 139.675 )

= 271.0 MPa






= ( 42.468 + 13.700 )/42.468



= pi/2 * sqrt((( 42.468 + 13.700 )^(2) + ( 28.400 + 13.700 )^(2) )/2 )

= 77.966 mm



= min(160142*1.32,1.5*157.8(640.134+0.000),pi/4*6200.0*28.40^2*1.32^2)

= 6870.067 N


= 6870.067/(77.966 (0.49*7.071 + 0.6*27.000 + 0.49*0.000 ) )


49

8/12/2019 M4-228-M4-102-CALC-REV A

48/64






= 13.700/ln[ 1 + 13.700/28.400 ]

= 34.802 mm


= 27.000/ln[ 1 + 27.000/1203.000 ]

= 1216.450 mm


= 89.679

= 89.7 MPa

Determine Force acting on the Nozzle [fN]:

= P * Rxn * LH = 17.200 * 34.802 * 46.725

= 28.0 N


= 17.200 * 1216.450 * ( 56.800 + 13.700 )/2

= 737.5 N

Discontinuity Force from External Pressure [fY]: = ( P * Rxs * Rnc )/2

= ( 17.200 * 1216.450 * 42.468 )/2

= 444.3 N


= ( 737.5 + 444.3 + 28.0 )/17.200

= 70336.1 mm


= 89.679/( 2 * 70336.062/2124.060 - 1216.450/(2*27.000 ) )

= 2052.0 kPa

Maximum Allowable Working Pressure Candidate [Pmax2]: = 2 * Fha * [t/Rxs]

= 2 * 89.679 * [27.000/1216.450 ] = 3980.8 kPa


= min( 2051.986 , 3980.762 )

= 2051.986 kPa


= ( 27.968 + 737.514 + 444.265 )/2124.060

= 0.570 MPa


= 17.200 * 1216.450/( 2 * 27.000 )

= 0.4 MPa

Maximum Local Primary Membrane Stress [PL]:50

8/12/2019 M4-228-M4-102-CALC-REV A

49/64




= max( 2 * SigmaAvg - SigmaCirc, SigmaCirc )

= max( 2 * 0.570 - 0.387 , 0.387 )

= 0.8 MPa

Summary of Nozzle Pressure/Stress Results:

Allowed Local Primary Membrane Stress Sallow 89.68 MPaLocal Primary Membrane Stress PL 0.75 MPa



Nozzle MDMT per 3.7, (Nozzle to Shell/Head Weld), Curve: B ----------------------------------------------------------------------




The curve for this material is curve : B




= ( 1.084 * 1.00 )/( 16.700 - 3.000 - 0.000 )

= 0.079





51

Documents

M4-228-M4-102-CALC-REV A