Flange Input Data Values Description: FLANGE :
N1
Description of Flange Geometry (Type) Integral Weld Neck
Design Pressure P 9.73 MPa
Design Temperature 88 °C
Internal Corrosion Allowance ci 3.2000 mm
External Corrosion Allowance ce 0.0000 mm
Use Corrosion Allowance in Thickness Calcs. No
Flange Inside Diameter B 147.000 mm
Flange Outside Diameter A 470.000 mm
Flange Thickness t 63.5000 mm
Thickness of Hub at Small End go 36.0000 mm
Thickness of Hub at Large End g1 75.5000 mm
Length of Hub h 98.5000 mm
Flange Material SA-350 LF2
Flange Material UNS number K03011
Flange Allowable Stress At Temperature Sfo 137.90 MPa
Flange Allowable Stress At Ambient Sfa 137.90 MPa
Bolt Material SA-193 B7
Bolt Allowable Stress At Temperature Sb 172.38 MPa
Bolt Allowable Stress At Ambient Sa 172.38 MPa
Diameter of Bolt Circle C 393.700 mm
Nominal Bolt Diameter a 34.9250 mm
Type of Threads UNC Thread Series
Number of Bolts 12
Flange Face Outside Diameter Fod 281.790 mm
Flange Face Inside Diameter Fid 257.970 mm
Flange Facing Sketch 9, Code Sketch 6
Gasket Outside Diameter Go 281.010 mm
Gasket Inside Diameter Gi 258.750 mm
Gasket Factor m 5.5000
Gasket Design Seating Stress y 124.11 MPa
Column for Gasket Seating 1, Code Column I
Gasket Thickness tg 16.0000 mm
Flange Face Nubbin Width w 11.1300 mm
Axial Force on Flange 80450.00 N
Bending Moment on Flange 28129000.00 N-mm
Flange Class 900
Flange Grade GR 1.1
ASME Code, Section VIII Division 1, 2017
Hub Small End Required Thickness due to Internal Pressure:
= (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1)
= (9.73*(147.0/2+3.2))/(137.9*1.0-0.6*9.73)+Ca
= 8.8511 mm
Hub Small End Hub MAWP:
= (S*E*t)/(R+0.6*t) per UG-27 (c)(1)
= (137.9 * 1.0 * 32.8)/(76.7 + 0.6 * 32.8 )
= 46.930 MPa
Corroded Flange ID, Bcor = B+2*Fcor 153.400 mm
Corroded Large Hub, g1Cor = g1-ci 72.300 mm
Corroded Small Hub, g0Cor = go-ci 32.800 mm
Code R Dimension, R = ((C-Bcor)/2)-g1cor 47.850 mm
Gasket Contact Width, N = (Go - Gi) / 2 11.130 mm
Basic Gasket Width, bo = w / 8 1.391 mm
Effective Gasket Width, b = bo 1.391 mm
Gasket Reaction Diameter, G = (Go + Gi) / 2 269.880 mm
Original Design Pressure for Flange 9.730 MPa
Axial Force Equiv. Pressure (4*max(F,0)/(pi*G^2)) 1.406 MPa
Bending Moment Equiv. Pressure (16*abs(M)/(pi*G^3)) 7.286 MPa
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Final Equivalent Design Pressure 18.422 MPa
Note:
Per ASME NC-3658.1(b), the equivalent pressure is used only
to compute the Hydrostatic End Load H. The original design
pressure is used in the remaining calculations.
Basic Flange and Bolt Loads:
Hydrostatic End Load due to Pressure [H]:
= 0.785 * G² * Peq
= 0.785 * 269.88² * 18.422
= 1053746.125 N
Contact Load on Gasket Surfaces [Hp]:
= 2 * b * Pi * G * m * P
= 2 * 1.3913 * 3.1416 * 269.88 * 5.5 * 9.73
= 126239.234 N
Hydrostatic End Load at Flange ID [Hd]:
= Pi * Bcor² * P / 4
= 3.1416 * 153.4² *9.73/4
= 179811.109 N
Pressure Force on Flange Face [Ht]:
= H - Hd
= 1053746 - 179811
= 873935.062 N
Operating Bolt Load [Wm1]:
= max( H + Hp + H'p, 0 )
= max( 1053746 + 126239 + 0, 0 )
= 1179985.250 N
Gasket Seating Bolt Load [Wm2]:
= y * b * Pi * G + yPart * bPart * lp
= 124.11*1.3913*3.141*269.88+0.0*0.0*0.0
= 146384.672 N
Required Bolt Area [Am]:
= Maximum of Wm1/Sb, Wm2/Sa
= Maximum of 1179985/172, 146385/172
= 6846.037 mm^2
ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]:
= 2a + 6t/(m + 0.5)
= 2 * 34.925 + 6 * 63.5/(5.5 + 0.5)
= 133.350 mm
Actual Circumferential Bolt Spacing [Bs]:
= C * sin( pi / n )
= 393.7 * sin( 3.142/12 )
= 101.897 mm
ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]:
= max( sqrt( Bs/( 2a + t )), 1 )
= max( sqrt( 101.897/( 2 * 34.925 + 63.5 )), 1 )
= 1.0000
Bolting Information for UNC Thread Series (Non Mandatory):
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Minimum Actual Maximum
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Bolt Area, mm^2 6846.037 8159.984
Radial Distance between Hub and Bolts: 47.625 47.850
Radial Distance between Bolts and the Ed 34.925 38.150
Circumferential Spacing between the Bolt 77.800 101.897 133.350
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Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]:
= Ab * Sa/( y * Pi * (Go + Gi) )
= 8159.984 * 172.38/(124.11 * 3.14 * (281.01 + 258.75) )
= 6.684 mm
Flange Design Bolt Load, Gasket Seating [W]:
= Sa * Ab
= 172.38 * 8159.9839
= 1406457.75 N
Gasket Load for the Operating Condition [HG]:
= Wm1 - H
= 1179985 - 1053746
= 126239.17 N
Moment Arm Calculations:
Distance to Gasket Load Reaction [hg]:
= (C - G ) / 2
= ( 393.7 - 269.88 )/2
= 61.9100 mm
Distance to Face Pressure Reaction [ht]:
= ( R + g1 + hg ) / 2
= ( 47.85 + 72.3 + 61.91 )/2
= 91.0300 mm
Distance to End Pressure Reaction [hd]:
= R + ( g1 / 2 )
= 47.85 + ( 72.3/2.0 )
= 84.0000 mm
Summary of Moments for Internal Pressure: (N-mm)
Loading Force | Distance | Bolt Corr | Moment |
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End Pressure, Md 179811. | 84.0000 | 1.0000 | 15110258. |
Face Pressure, Mt 873935. | 91.0300 | 1.0000 | 79586568. |
Gasket Load, Mg 126239. | 61.9100 | 1.0000 | 7818638. |
Gasket Seating, Matm 1406458. | 61.9100 | 1.0000 | 87109128. |
Total Moment for Operation, Mop 102515464. N-mm
Total Moment for Gasket seating, Matm 87109128. N-mm
Note: User choose not to perform Stress Calculations on this Standard Flange.
Pressure rating of the flange will be used to check code compliance.
Estimated Finished Weight of Flange at given Thk. 104.1 kg
Estimated Unfinished Weight of Forging at given Thk 196.5 kg
ANSI Flange MDMT including Temperature reduction per UCS-66.1:
MDMT of ANSI B16.5/47 flange per Matl. Specification -46 °C
Flange MDMT with Temp reduction per UCS-66(i)(2) -48 °C
Flange MDMT with Temp reduction per UCS-66(i)(3) -104 °C
Where the Stress Reduction Ratio per UCS-66(i)(2) is :
Design Pressure/Ambient Rating = 9.73/15.32 = 0.635
Note:
Using the min value from (i)(2) and (i)(3) above as the computed nozzle flange MDMT.
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