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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
INPUT VALUES, Nozzle Description: Noz N2 From : 20
Pressure for Reinforcement Calculations P 75.000 psig
Temperature for Internal Pressure Temp 250 F
Design External Pressure Pext 15.00 psig
Temperature for External Pressure Tempex 70 F
Shell Material SA-516 70
Shell Allowable Stress at Temperature S 20000.00 psi
Shell Allowable Stress At Ambient Sa 20000.00 psi
Inside Diameter of Cylindrical Shell D 100.7500 in.
Design Length of Section L 317.7916 in.
Shell Finished (Minimum) Thickness t 0.6250 in.
Shell Internal Corrosion Allowance c 0.0625 in.
Shell External Corrosion Allowance co 0.0000 in.
Distance from Bottom/Left Tangent 22.6980 ft.
User Entered Minimum Design Metal Temperature -20.00 F
Type of Element Connected to the Shel l : Nozzle
Material SA-106 B
Material UNS Number K03006
Material Specification/Type Smls. pipe
Allowable Stress at Temperature Sn 17100.00 psi
Allowable Stress At Ambient Sna 17100.00 psi
Diameter Basis (for tr calc only) ID
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Layout Angle 90.00 deg
Diameter 24.0000 in.
Size and Thickness Basis Nominal
Nominal Thickness tn 100
Flange Material SA-105
Flange Type Slip on
Corrosion Allowance can 0.0625 in.
Joint Efficiency of Shell Seam at Nozzle E1 1.00
Joint Efficiency of Nozzle Neck En 1.00
Outside Projection ho 10.0000 in.
Weld leg size between Nozzle and Pad/Shell Wo 0.3750 in.
Groove weld depth between Nozzle and Vessel Wgnv 0.0000 in.
Inside Projection h 1.0000 in.
Weld leg size, Inside Element to Shell Wi 0.5000 in.
ASME Code Weld Type per UW-16 A
Class of attached Flange 150
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)
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
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Insert Nozzle No Pad, with Inside projection
Reinforcement CALCULATION, Description: Noz N2
ASME Code, Section VIII, Division 1, 2010, 2011a, UG-37 to UG-45
Actual Inside Diameter Used in Calculation 20.938 in.
Actual Thickness Used in Calculation 1.531 in.
Note: Post Weld Heat Treating is required for this Nozzle Geometry!
Nozzle input data check completed without errors.
Reqd thk per UG-37(a)of Cylindrical Shell, Tr [Int. Press]
= (P*R)/(S*E-0.6*P) per UG-27 (c)(1)
= (75.00*50.4375)/(20000*1.00-0.6*75.00)
= 0.1896 in.
Reqd thk per UG-37(a)of Nozzle Wall, Trn [Int. Press]
= (P*R)/(S*E-0.6*P) per UG-27 (c)(1)
= (75.00*10.53)/(17100*1.00-0.6*75.00)
= 0.0463 in.
Required Nozzle thickness under External Pressure per UG-28 : 0.0534 in.
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Nozzle Angle Used in Area Calculations 90.00 Degs.
The area available without a pad is Sufficient.
Area Required [A]:
= 0.5( d * tr*F + 2 * tn * tr*F * (1-fr1) ) per UG-37(d) or UG-39
= 0.5(21.0630*0.5256*1+2*1.4685*0.5256*1*(1-0.86))
= 5.647 sq.in.
The area in the shell has not been calculated by user request.
Area Available in Nozzle Projecting Outward [A2]:
= ( 2 * tlnp ) * ( tn - trn ) * fr2
= ( 2 * 1.406 ) * ( 1.4685 - 0.0534 ) * 0.8550
= 3.403 sq.in.
Area Available in Inward Nozzle [A3]:
= 2 * ti * min( h, Tl, 2.5 * ti) * fr2
= 2 * 1.4060 * ( 0.9375 ) * 0.8550
= 2.254 sq.in.
Area Available in Inward Weld + Outward Weld [A41 + A43]:
= Wo * fr2 + ( Wi-can/0.707 ) * fr2
= 0.3750 * 0.8550 + ( 0.4116 ) * 0.8550
= 0.265 sq.in.
UG-45 Minimum Nozzle Neck Thickness Requirement: [Int. Press.]
Wall Thickness for Internal/External pressures ta = 0.1159 in.
Wall Thickness per UG16(b), tr16b = 0.1562 in.
Wall Thickness, shell/head, internal pressure trb1 = 0.2521 in.
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Wall Thickness tb1 = max(trb1, tr16b) = 0.2521 in.
Wall Thickness, shell/head, external pressure trb2 = 0.1003 in.
Wall Thickness tb2 = max(trb2, tr16b) = 0.1562 in.
Wall Thickness per table UG-45 tb3 = 0.3905 in.
Determine Nozzle Thickness candidate [tb]:
= min[ tb3, max( tb1,tb2) ]
= min[ 0.391 , max( 0.252 , 0.156 ) ]
= 0.2521 in.
Minimum Wall Thickness of Nozzle Necks [tUG-45]:
= max( ta, tb )
= max( 0.1159 , 0.2521 )
= 0.2521 in.
Available Nozzle Neck Thickness = 0.875 * 1.531 = 1.340 in. --> OK
Nozzle Junction Minimum Design Metal Temperature (MDMT) Calculations:
MDMT of the Nozzle Neck to Flange Weld, Curve: B
----------------------------------------------------------------------
Govrn. thk, tg = 1.340 , tr = 0.046 , c = 0.0625 in. , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.036 , Temp. Reduction = 140 F
Min Metal Temp. w/o impact per UCS-66 45 F
Min Metal Temp. at Required thickness (UCS 66.1) -95 F
MDMT of Nozzle-Shell/Head Weld for the Nozzle (UCS-66(a)1(b)), Curve: B
----------------------------------------------------------------------
Govrn. thk, tg = 0.625 , tr = 0.190 , c = 0.0625 in. , E* = 1.00
Stress Ratio = tr * (E*)/(tg - c) = 0.337 , Temp. Reduction = 140 F
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Min Metal Temp. w/o impact per UCS-66 6 F
Min Metal Temp. at Required thickness (UCS 66.1) -134 F
Min Metal Temp. w/o impact per UG-20(f) -20 F
Governing MDMT of all the sub-joints of this Junction : -95 F
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
Unadjusted MDMT of ANSI B16.5/47 flanges per UCS-66(c) -20 F
Flange MDMT with Temp reduction per UCS-66(b)(1)(b) -155 F
Flange MDMT with Temp reduction per UCS-66(b)(1)(c) -155 F
Where the Stress Reduction Ratio per UCS-66(b)(1)(b) is :
Design Pressure/Ambient Rating = 75.00/285.00 = 0.263
Note: Using the minimum value from (b)(1)(b) and (b)(1)(c) above
as the calculated nozzle flange MDMT.
Nozzle Calculations per App. 1-10: Internal Pressure Case:
Thickness of Nozzle [tn]:
= thickness - corrosion allowance
= 1.531 - 0.063
= 1.469 in.
Effective Pressure Radius [Reff]:
= Di/2 + corrosion allowance
= 100.750/2 + 0.063
= 50.438 in.
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Effective Length of Vessel Wall [LR]:
= 8 * t
= 8 * 0.562
= 4.500 in.
Thickness Limit Candidate [LH1]:
= t + 0.78 * sqrt( Rn * tn )
= 0.562 + 0.78 * sqrt( 10.531 * 1.469 )
= 3.630 in.
Thickness Limit Candidate [LH2]:
= Lpr1 + T
= 10.000 + 0.562
= 10.562 in.
Thickness Limit Candidate [LH3]:
= 8( t + te )
= 8( 0.562 + 0.000 )
= 4.500 in.
Effective Nozzle Wall Length Outside the Vessel [LH]:
= min[ LH1, LH2, LH3 ]
= min[ 3.630 , 10.562 , 4.500 )
= 3.630 in.
Thickness Limit Candidate, Inside [LI1]:
= 0.78 * sqrt( Rn * tn )
= 0.78 * sqrt( 10.531 * 1.469 )
= 3.067 in.
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Nozzle Projection from the Inside of the Vessel Wall [Lpr2, LI2]:
= LI - c
= 1.000 - 0.063
= 0.938 in.
Thickness Limit Candidate, Inside [LI3]:
= 8 * ( t + te )
= 8 * ( 0.562 + 0.000 )
= 4.500 in.
Effective Nozzle Wall Length Inside the Vessel [LI]:
= min( LI1, LI2, LI3 )
= min( 3.067 , 0.938 , 4.500 )
= 0.938 in.
Effective Vessel Thickness [teff]:
= t
= 0.562 in.
Determine Parameter [Lamda]:
= min( 10, ( Dn + Tn )/( sqrt( ( Di + teff ) * teff )) )
= min( 10, (21.06 + 1.469 )/( sqrt((100.88 + 0.562 ) * 0.562 )) )
= 2.983
Compute Areas A1-A43 (No Pad) or A1-A5 (With Pad) :
Area Contributed by the Vessel Wall [A1]:
= t * LR * max( Lamda/4, 1 )
= 0.562 * 4.500 * max( 2.983/4, 1 )
= 2.531 sq.in.
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
Area Contributed by the Nozzle Outside the Vessel Wall [A2]:
= tn * LH
= 1.469 * 3.630
= 5.331 sq.in.
Area Contributed by the Nozzle Inside the Vessel Wall [A3]:
= ( tn - c ) * L1
= ( 1.469 - 0.063 ) * 0.938
= 1.318 sq.in.
Area Contributed by the Inside Fillet Weld [A43]:
= 0.5 * Leg432
= 0.5 * 0.4122
= 0.085 sq.in.
Area Contributed by the Outside Fillet Weld [A41]:
= 0.5 * Leg412
= 0.5 * 0.3752
= 0.070 sq.in.
The total area contributed by A1 through A43 [AT]:
= A1 + frn( A2 + A3 ) + A41 + A42 + A43
= 2.531+1.000(5.331+1.318)+0.070+0.000+0.085
= 9.335 sq.in.
Allowable Local Primary Membrane Stress [Sallow]:
= 1.5 * S * E
= 1.5 * 20000.000 * 1.000
= 30000.0 psi
Determine Force acting on the Nozzle [fN]:
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
= P * Rn( LH - t )
= 75.000 * 10.531 ( 3.630 - 0.562 )
= 2422.9 lb.
Determine Force acting on the Shell [fS]:
= P * Reff * ( LR + tn )
= 75.000 * 50.438 * ( 4.500 + 1.469 )
= 22577.7 lb.
Discontinuity Force from Internal Pressure [fY]:
= P * Reff * Rnc
= 75.000 * 50.438 * 10.531
= 39838.7 lb.
Area Resisting Internal Pressure [Ap]:
= Rn( LH - t ) + Reff( LR + tn + Rnc )
= 10.531 ( 3.630 - 0.562 ) + 50.438 ( 4.500 + 1.469 + 10.531 )
= 864.5 sq.in.
Maximum Allowable Working Pressure Candidate [Pmax1]:
= Sallow /( 2 * Ap/AT - Rxs/teff )
= 30000.000/( 2 * 864.524/9.335 - 50.438/0.562 )
= 314.0 psig
Maximum Allowable Working Pressure Candidate [Pmax2]:
= S[t/Reff]
= 20000.000 [0.562/50.438 ]
= 223.0 psig
Maximum Allowable Working Pressure [Pmax]:
= min( Pmax1, Pmax2 )
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
= min( 313.953 , 223.048 )
= 223.048 psig
Average Primary Membrane Stress [SigmaAvg]:
= ( fN + fS + fY ) / AT
= ( 2422.859 + 22577.717 + 39838.688 )/9.335
= 6945.844 psi
General Primary Membrane Stress [SigmaCirc]:
= P * Reff / teff
= 75.000 * 50.438/0.562
= 6725.0 psi
Maximum Local Primary Membrane Stress [PL]:
= max( 2 * SigmaAvg - SigmaCirc, SigmaCirc )
= max( 2 * 6945.844 - 6725.000 , 6725.000 )
= 7166.7 psi
Summary of Nozzle Pressure/Stress Results:
Allowed Local Primary Membrane Stress Sallow 30000.00 psi
Local Primary Membrane Stress PL 7166.69 psi
Maximum Allowable Working Pressure Pmax 223.05 psig
Strength of Nozzle Attachment Welds per 1-10 and U-2(g)
Discontinuity Force Factor [ky]:
= ( Rnc + tn ) / Rnc
= ( 10.531 + 1.469 )/10.531
= 1.139 For set-in Nozzles
Weld Length of Nozzle to Shell Weld [Ltau]:
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PV Elite 2012 R1 Licensee: PRESSUREFileName : 102 Horz Tank ---------------------------------Nozzle Calcs. : Noz N2 Nozl: 7 7:42p Oct 5,2012
= pi/2 * ( Rn + tn )
= pi/2 * ( 10.531 + 1.469 )
= 18.850 in.
Weld Throat Dimensions, (0.7071*Leg Dimensions) [L41T, L42T, L43T]:
= 0.265, 0.000, 0.291, in.
Weld Load Value [fwelds]:
= min( fy * ky, 1.5 * Sn( A2 + A3 ), pi/4*P*Rn^2*ky^2 )
= min(39838*1.14,1.5*17100.0(5.331+1.318),pi/4*75.0*10.53^2*1.14^2)
= 8482.301 lb.
Weld Stress Value [tau]:
= fwelds/(Ltau(0.49*L41T + 0.6*tw1 + 0.49*L43T ) )
= 8482.301/(18.850 (0.49*0.265 + 0.6*0.001 + 0.49*0.000 ) )
= 1647.482 < or = to 20000.000 Weld Size is OK
Weld Size Calculations, Description: Noz N2
Intermediate Calc. for nozzle/shell Welds Tmin 0.5625 in.
Intermediate Calc. for Inward Weld TminIns 0.5625 in.
Results Per UW-16.1:
Required Thickness Actual Thickness
Nozzle Weld 0.2500 = Min per Code 0.2651 = 0.7 * Wo in.
Inward Weld 0.2500 = Min per Code 0.2910 = 0.7 * Wi-Can in.
Maximum Allowable Pressure for this Nozzle at this Location:
Converged Max. Allow. Pressure in Operating case 75.000 psig
Note: The MAWP of this junction was limited by the parent Shell/Head.
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