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Flange Input Data Values Description: FLANGE :

Channel cover flg Description of Flange Geometry (Type) TEMA Channel Cover Design Pressure P 1.00 MPa Design Temperature 50 C Internal Corrosion Allowance ci 3.0000 mm External Corrosion Allowance ce 0.0000 mm Use Corrosion Allowance in Thickness Calcs. Yes Flange Outside Diameter A 2086.000 mm Flange Thickness t 130.0000 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-320 L7M Bolt Allowable Stress At Temperature Sb 137.90 MPa Bolt Allowable Stress At Ambient Sa 137.90 MPa Diameter of the Load Reaction, Long Span D 0.000 mm Diameter of the Load Reaction, Short Span d 0.000 mm Perimeter along the Center of the Bolts L 6402.566 mm Youngs Modulus for Blind Flange Matl. Sy 199679.50 MPa Allowed Channel Cover Deflection dfAllow 2.5475 mm Diameter of Bolt Circle C 2038.000 mm Nominal Bolt Diameter dB 22.0000 mm Type of Threads TEMA Metric Number of Bolts 116 Flange Face Outside Diameter Fod 2002.000 mm Flange Face Inside Diameter Fid 1894.000 mm Flange Facing Sketch 1, Code Sketch 1a Gasket Outside Diameter Go 2002.000 mm Gasket Inside Diameter Gi 1970.000 mm Gasket Factor m 4.5000 Gasket Design Seating Stress y 25.00 MPa Column for Gasket Seating 2, Code Column II Gasket Thickness tg 3.0000 mm Length of Partition Gasket lp 3499.9998 mm Width of Partition Gasket tp 10.0000 mm Partition Gasket Factor mPart 4.5000 Partition Gasket Design Seating Stress yPart 25.00 MPa

ASME Code, Section VIII, Division 1, 2010, 2011a Gasket Contact Width, N = (Go - Gi) / 2 16.000 mm Basic Gasket Width, bo = N / 2 8.000 mm Effective Gasket Width, b = Cb sqrt(bo) 7.127 mm Gasket Reaction Diameter, G = Go - 2 * b 1987.745 mm

Basic Flange and Bolt Loads:

Hydrostatic End Load due to Pressure [H]: = 0.785 * G * Peq = 0.785 * 1987.7454 * 1.000 = 3102947.500 N

Contact Load on Gasket Surfaces [Hp]: = 2 * b * Pi * G * m * P + 2 * lp * bPart * mPart * P = 2 * 7.1274 * 3.1416 * 1987.7454 * 4.5000 * 1.00 + 2.0 * 3499.9998 * 5.0000 * 4.5000 * 1.0000

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= 558028.438 N

Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 3102947 + 558028 + 0 , 0 ) = 3660976.000 N

Gasket Seating Bolt Load [Wm2]: = y * b * Pi * G + yPart * bPart * lp = 25.00*7.1274*3.141*1987.745+25.00*5.0000*3500.00 = 1550079.000 N

Required Bolt Area [Am]: = Maximum of Wm1/Sb, Wm2/Sa = Maximum of 3660976/137 , 1550079/137 = 26550.309 mm^2

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 22.000 + 6 * 127.000/(4.50 + 0.5) = 196.400 mm

Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 2038.000 * sin( 3.142/116 ) = 55.188 mm

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 55.188/( 2 * 22.000 + 127.000 )), 1 ) = 1.0000

Bolting Information for TEMA Metric Thread Series (Non Mandatory): ----------------------------------------------------------------------------- Minimum Actual Maximum ----------------------------------------------------------------------------- Bolt Area, mm^2 26550.309 31600.605 Radial distance bet. bolts and the edge 25.400 24.000 Circumferential spacing between bolts 53.980 55.188 196.400 -----------------------------------------------------------------------------

Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]: = Ab * Sa/( y * Pi * (Go + Gi) ) = 31600.605 * 137.90/(25.00 * 3.14 * (2002.000 + 1970.00 ) ) = 13.969 mm

Flange Design Bolt Load, Gasket Seating [W]: = Sa * ( Am + Ab ) / 2 = 137.90 * ( 26550.3086 + 31600.6055 )/2 = 4009164.75 N

Gasket Load for the Operating Condition [HG]: = Wm1 = 3660976.00 N

Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 2038.0000 - 1987.7454 )/2 = 25.1273 mm

Tangential Flange Stress, Flat Head (UG-34), Operating [STo]: = 1.9 * Wm1 * hG * Bcor/(t * G) + C * Z * Peq * G/t = 1.9*3660976*25.1273*1.0000/(127.0000*1987.7454)+ 0.30*1.0000*1.00*1987.7454/127.0000 = 78.94 MPa

Tangential Flange Stress, Flat Head (UG-34), Seating [STa]: = 1.9 * W * hG * Bcor / (t * G) = 1.9*4009164*25.1273*1.000/(127.0000*1987.7454) = 5.97 MPa

Bolt Stress, Operating [BSo]: = ( Wm1 / Ab )

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= (3660976/31600.6055) = 115.86 MPa

Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (1550079/31600.6055) = 49.06 MPa Stress Computation Results: Operating Gasket Seating Actual Allowed Actual Allowed Tangential Flange 79. 138. 6. 138. MPa Bolting 116. 138. 49. 138. MPa

TEMA Channel Cover Deflection Calculations: Actual deflection at center per TEMA formula 1.9264 mm Allowed deflection at center of Cover 2.5475 mm Reqd. Blind Flange Thickness at Center 99.090 mm Reqd. Blind Flange Thickness at Gasket 29.426 mm Min. Required Flange Thickness per TEMA 115.703 mm Estimated M.A.W.P. ( Operating ) 1.2 MPa Estimated Finished Weight of Flange at given Thk. 3480.3 kg Estimated Unfinished Weight of Forging at given Thk 3480.3 kg

Minimum Design Metal Temperature Results: Note: This Material was specified as being supplied in the Impact Tested condition (Low Temperature Material). Impact Test Temperature provided per Specification -46 C

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Flange Input Data Values Description: FLANGE :

Channel flg-1 Description of Flange Geometry (Type) Integral Weld Neck Design Pressure P 1.00 MPa Design Temperature 50 C Internal Corrosion Allowance ci 3.0000 mm External Corrosion Allowance ce 0.0000 mm Use Corrosion Allowance in Thickness Calcs. Yes Flange Inside Diameter B 1900.000 mm Flange Outside Diameter A 2086.000 mm Flange Thickness t 44.0000 mm Thickness of Hub at Small End go 25.0000 mm Thickness of Hub at Large End g1 37.0000 mm Length of Hub h 66.0000 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-320 L7M Bolt Allowable Stress At Temperature Sb 137.90 MPa Bolt Allowable Stress At Ambient Sa 137.90 MPa Diameter of Bolt Circle C 2038.000 mm Nominal Bolt Diameter dB 22.0000 mm Type of Threads TEMA Metric Number of Bolts 116 Flange Face Outside Diameter Fod 2005.000 mm Flange Face Inside Diameter Fid 1900.000 mm Flange Facing Sketch 1, Code Sketch 1a Gasket Outside Diameter Go 2002.000 mm Gasket Inside Diameter Gi 1970.000 mm Gasket Factor m 4.5000 Gasket Design Seating Stress y 25.00 MPa Column for Gasket Seating 2, Code Column II Gasket Thickness tg 3.0000 mm Length of Partition Gasket lp 3499.9998 mm Width of Partition Gasket tp 10.0000 mm Partition Gasket Factor mPart 4.5000 Partition Gasket Design Seating Stress yPart 25.00 MPa

ASME Code, Section VIII, Division 1, 2010, 2011a

Hub Small End Required Thickness due to Internal Pressure: = (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1) = (1.00*(1900.0001/2+3.0000))/(137.90*1.00-0.6*1.00)+Ca = 9.9410 mm

Hub Small End Hub MAWP: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (137.90 * 1.00 * 22.0000 )/(953.0001 + 0.6 * 22.0000 ) = 3.140 MPa Corroded Flange Thickness, tc = T-ci 41.000 mm Corroded Flange ID, Bcor = B+2*Fcor 1906.000 mm Corroded Large Hub, g1Cor = g1-ci 34.000 mm Corroded Small Hub, g0Cor = go-ci 22.000 mm Code R Dimension, R = ((C-Bcor)/2)-g1cor 32.000 mm Gasket Contact Width, N = (Go - Gi) / 2 16.000 mm Basic Gasket Width, bo = N / 2 8.000 mm

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Effective Gasket Width, b = Cb sqrt(bo) 7.127 mm Gasket Reaction Diameter, G = Go - 2 * b 1987.745 mm

Basic Flange and Bolt Loads:

Hydrostatic End Load due to Pressure [H]: = 0.785 * G * Peq = 0.785 * 1987.7454 * 1.000 = 3102947.500 N

Contact Load on Gasket Surfaces [Hp]: = 2 * b * Pi * G * m * P + 2 * lp * bPart * mPart * P = 2 * 7.1274 * 3.1416 * 1987.7454 * 4.5000 * 1.00 + 2.0 * 3499.9998 * 5.0000 * 4.5000 * 1.0000 = 558028.438 N

Hydrostatic End Load at Flange ID [Hd]: = Pi * Bcor * P / 4 = 3.1416 * 1906.0001 *1.0000/4 = 2852980.500 N

Pressure Force on Flange Face [Ht]: = H - Hd = 3102947 - 2852980 = 249967.031 N

Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 3102947 + 558028 + 0 , 0 ) = 3660976.000 N

Gasket Seating Bolt Load [Wm2]: = y * b * Pi * G + yPart * bPart * lp = 25.00*7.1274*3.141*1987.745+25.00*5.0000*3500.00 = 1550079.000 N

Required Bolt Area [Am]: = Maximum of Wm1/Sb, Wm2/Sa = Maximum of 3660976/137 , 1550079/137 = 26550.309 mm^2

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 22.000 + 6 * 41.000/(4.50 + 0.5) = 93.200 mm

Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 2038.000 * sin( 3.142/116 ) = 55.188 mm

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 55.188/( 2 * 22.000 + 41.000 )), 1 ) = 1.0000

Bolting Information for TEMA Metric Thread Series (Non Mandatory): ----------------------------------------------------------------------------- Minimum Actual Maximum ----------------------------------------------------------------------------- Bolt Area, mm^2 26550.309 31600.605 Radial distance bet. hub and bolts 33.340 32.000 Radial distance bet. bolts and the edge 25.400 24.000 Circumferential spacing between bolts 53.980 55.188 93.200 -----------------------------------------------------------------------------

Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]: = Ab * Sa/( y * Pi * (Go + Gi) ) = 31600.605 * 137.90/(25.00 * 3.14 * (2002.000 + 1970.00 ) ) = 13.969 mm

Note: Recommended Min. Width for Sheet and Composite Gaskets per table 2-4 : = 38.000 mm[Note: Exceeds actual gasket width, 16.000 ]

Flange Design Bolt Load, Gasket Seating [W]: = Sa * ( Am + Ab ) / 2

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Flg Calc [Int P] : FLANGE Flng: 8 8:14a Oct 14,2013

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= 137.90 * ( 26550.3086 + 31600.6055 )/2 = 4009164.75 N

Gasket Load for the Operating Condition [HG]: = Wm1 - H = 3660976 - 3102947 = 558028.56 N

Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 2038.0000 - 1987.7454 )/2 = 25.1273 mm

Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 31.9999 + 34.0000 + 25.1273 )/2 = 45.5636 mm

Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 31.9999 + ( 34.0000/2.0 ) = 48.9999 mm

Summary of Moments for Internal Pressure: Loading Force Distance Bolt Corr Moment End Pressure, Md 2852980. 48.9999 1.0000 139852560. N-mm Face Pressure, Mt 249967. 45.5636 1.0000 11394026. N-mm Gasket Load, Mg 558029. 25.1273 1.0000 14027459. N-mm Gasket Seating, Matm 4009165. 25.1273 1.0000 100780496. N-mm Total Moment for Operation, Mop 165274048. N-mm Total Moment for Gasket seating, Matm 100780496. N-mm Effective Hub Length, ho = sqrt(Bcor*goCor) 204.773 mm Hub Ratio, h/h0 = HL / H0 0.322 Thickness Ratio, g1/g0 = (g1Cor/goCor) 1.545

Flange Factors for Integral Flange: Factor F per 2-7.2 0.874 Factor V per 2-7.3 0.353 Factor f per 2-7.6 1.156 Factors from Figure 2-7.1 K = 1.094 T = 1.879 U = 23.566 Y = 21.445 Z = 11.111 d = .66149E+07 mm e = 0.0043 mm ^-1 Stress Factors ALPHA = 1.175 BETA = 1.233 GAMMA = 0.625 DELTA = 0.010 Lamda = 0.636

Longitudinal Hub Stress, Operating [SHo]: = ( f * Mop / Bcor ) / ( L * g1 ) = (1.1563*.16527E+09/1906.0001)/(0.6357*34.0000) = 136.40 MPa

Longitudinal Hub Stress, Seating [SHa]: = ( f * Matm / Bcor ) / ( L * g1 ) = (1.1563*.10078E+09/1906.0001)/(0.6357*34.0000) = 83.17 MPa

Radial Flange Stress, Operating [SRo]: = ( Beta * Mop / Bcor ) / ( L * t ) = (1.2334*.16527E+09/1906.0001)/(0.6357*41.0000) = 100.05 MPa

Radial Flange Stress, Seating [SRa]: = ( Beta * Matm/Bcor ) / ( L * t ) = (1.2334*.10078E+09/1906.0001)/(0.6357*41.0000) = 61.01 MPa

Tangential Flange Stress, Operating [STo]: = ( Y * Mo / (t * Bcor) ) - Z * SRo = (21.4452*.16527E+09/(41.0000*1906.0001))-11.1114*100 = -5.86 MPa

Tangential Flange Stress, Seating [STa]:

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= ( y * Matm / (t * Bcor) ) - Z * SRa = (21.4452*.10078E+09/(41.0000*1906.0001))-11.1114*61 = -3.57 MPa

Average Flange Stress, Operating [SAo]: = ( SHo + max( SRo, STo ) ) / 2 = (136+max(100,-5))/2 = 118.23 MPa

Average Flange Stress, Seating [SAa]: = ( SHa + max( SRa, STa ) ) / 2 = (83+max(61,-3))/2 = 72.09 MPa

Bolt Stress, Operating [BSo]: = ( Wm1 / Ab ) = (3660976/31600.6055) = 115.86 MPa

Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (1550079/31600.6055) = 49.06 MPa Stress Computation Results: Operating Gasket Seating Actual Allowed Actual Allowed Longitudinal Hub 136. 207. 83. 207. MPa Radial Flange 100. 138. 61. 138. MPa Tangential Flange -6. 138. -4. 138. MPa Maximum Average 118. 138. 72. 138. MPa Bolting 116. 138. 49. 138. MPa Minimum Required Flange Thickness 38.227 mm Estimated M.A.W.P. ( Operating ) 1.2 MPa Estimated Finished Weight of Flange at given Thk. 297.9 kg Estimated Unfinished Weight of Forging at given Thk 501.8 kg

Flange Rigidity Based on Required Thickness [ASME]:

Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]: = 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go2 * ho * Ki ) = 52.14 * .10078E+09/1.0000 * 1.000 * 0.353/( 0.619 * 202713 * 22.0002 * 204.773 * 0.300 ) = 0.497 (should be

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Flange Input Data Values Description: FLANGE :

channle flg-2 Description of Flange Geometry (Type) Integral Weld Neck Design Pressure P 1.00 MPa Design Temperature 50 C Internal Corrosion Allowance ci 3.0000 mm External Corrosion Allowance ce 0.0000 mm Use Corrosion Allowance in Thickness Calcs. Yes Flange Inside Diameter B 1900.000 mm Flange Outside Diameter A 2086.000 mm Flange Thickness t 44.0000 mm Thickness of Hub at Small End go 25.0000 mm Thickness of Hub at Large End g1 37.0000 mm Length of Hub h 66.0000 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-320 L7M Bolt Allowable Stress At Temperature Sb 137.90 MPa Bolt Allowable Stress At Ambient Sa 137.90 MPa Diameter of Bolt Circle C 2038.000 mm Nominal Bolt Diameter dB 22.0000 mm Type of Threads TEMA Metric Number of Bolts 116 Flange Face Outside Diameter Fod 2005.000 mm Flange Face Inside Diameter Fid 1900.000 mm Flange Facing Sketch 1, Code Sketch 1a Gasket Outside Diameter Go 2002.000 mm Gasket Inside Diameter Gi 1970.000 mm Gasket Factor m 4.2500 Gasket Design Seating Stress y 69.60 MPa Column for Gasket Seating 2, Code Column II Gasket Thickness tg 5.0000 mm Length of Partition Gasket lp 3499.9998 mm Width of Partition Gasket tp 10.0000 mm Partition Gasket Factor mPart 4.2500 Partition Gasket Design Seating Stress yPart 69.60 MPa

ASME Code, Section VIII, Division 1, 2010, 2011a

Hub Small End Required Thickness due to Internal Pressure: = (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1) = (1.00*(1900.0001/2+3.0000))/(137.90*1.00-0.6*1.00)+Ca = 9.9410 mm

Hub Small End Hub MAWP: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (137.90 * 1.00 * 22.0000 )/(953.0001 + 0.6 * 22.0000 ) = 3.140 MPa Corroded Flange Thickness, tc = T-ci 41.000 mm Corroded Flange ID, Bcor = B+2*Fcor 1906.000 mm Corroded Large Hub, g1Cor = g1-ci 34.000 mm Corroded Small Hub, g0Cor = go-ci 22.000 mm Code R Dimension, R = ((C-Bcor)/2)-g1cor 32.000 mm Gasket Contact Width, N = (Go - Gi) / 2 16.000 mm Basic Gasket Width, bo = N / 2 8.000 mm

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Effective Gasket Width, b = Cb sqrt(bo) 7.127 mm Gasket Reaction Diameter, G = Go - 2 * b 1987.745 mm

Basic Flange and Bolt Loads:

Hydrostatic End Load due to Pressure [H]: = 0.785 * G * Peq = 0.785 * 1987.7454 * 1.000 = 3102947.500 N

Contact Load on Gasket Surfaces [Hp]: = 2 * b * Pi * G * m * P + 2 * lp * bPart * mPart * P = 2 * 7.1274 * 3.1416 * 1987.7454 * 4.2500 * 1.00 + 2.0 * 3499.9998 * 5.0000 * 4.2500 * 1.0000 = 527026.875 N

Hydrostatic End Load at Flange ID [Hd]: = Pi * Bcor * P / 4 = 3.1416 * 1906.0001 *1.0000/4 = 2852980.500 N

Pressure Force on Flange Face [Ht]: = H - Hd = 3102947 - 2852980 = 249967.031 N

Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 3102947 + 527026 + 0 , 0 ) = 3629974.500 N

Gasket Seating Bolt Load [Wm2]: = y * b * Pi * G + yPart * bPart * lp = 69.60*7.1274*3.141*1987.745+69.60*5.0000*3500.00 = 4315420.500 N

Required Bolt Area [Am]: = Maximum of Wm1/Sb, Wm2/Sa = Maximum of 3629974/137 , 4315420/137 = 31296.498 mm^2

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 22.000 + 6 * 41.000/(4.25 + 0.5) = 95.789 mm

Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 2038.000 * sin( 3.142/116 ) = 55.188 mm

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 55.188/( 2 * 22.000 + 41.000 )), 1 ) = 1.0000

Bolting Information for TEMA Metric Thread Series (Non Mandatory): ----------------------------------------------------------------------------- Minimum Actual Maximum ----------------------------------------------------------------------------- Bolt Area, mm^2 31296.498 31600.605 Radial distance bet. hub and bolts 33.340 32.000 Radial distance bet. bolts and the edge 25.400 24.000 Circumferential spacing between bolts 53.980 55.188 95.789 -----------------------------------------------------------------------------

Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]: = Ab * Sa/( y * Pi * (Go + Gi) ) = 31600.605 * 137.90/(69.60 * 3.14 * (2002.000 + 1970.00 ) ) = 5.018 mm

Note: Recommended Min. Width for Sheet and Composite Gaskets per table 2-4 : = 38.000 mm[Note: Exceeds actual gasket width, 16.000 ]

Flange Design Bolt Load, Gasket Seating [W]: = Sa * ( Am + Ab ) / 2

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= 137.90 * ( 31296.4980 + 31600.6055 )/2 = 4336386.50 N

Gasket Load for the Operating Condition [HG]: = Wm1 - H = 3629974 - 3102947 = 527026.81 N

Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 2038.0000 - 1987.7454 )/2 = 25.1273 mm

Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 31.9999 + 34.0000 + 25.1273 )/2 = 45.5636 mm

Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 31.9999 + ( 34.0000/2.0 ) = 48.9999 mm

Summary of Moments for Internal Pressure: Loading Force Distance Bolt Corr Moment End Pressure, Md 2852980. 48.9999 1.0000 139852560. N-mm Face Pressure, Mt 249967. 45.5636 1.0000 11394026. N-mm Gasket Load, Mg 527027. 25.1273 1.0000 13248153. N-mm Gasket Seating, Matm 4336386. 25.1273 1.0000 109006048. N-mm Total Moment for Operation, Mop 164494736. N-mm Total Moment for Gasket seating, Matm 109006048. N-mm Effective Hub Length, ho = sqrt(Bcor*goCor) 204.773 mm Hub Ratio, h/h0 = HL / H0 0.322 Thickness Ratio, g1/g0 = (g1Cor/goCor) 1.545

Flange Factors for Integral Flange: Factor F per 2-7.2 0.874 Factor V per 2-7.3 0.353 Factor f per 2-7.6 1.156 Factors from Figure 2-7.1 K = 1.094 T = 1.879 U = 23.566 Y = 21.445 Z = 11.111 d = .66149E+07 mm e = 0.0043 mm ^-1 Stress Factors ALPHA = 1.175 BETA = 1.233 GAMMA = 0.625 DELTA = 0.010 Lamda = 0.636

Longitudinal Hub Stress, Operating [SHo]: = ( f * Mop / Bcor ) / ( L * g1 ) = (1.1563*.16449E+09/1906.0001)/(0.6357*34.0000) = 135.76 MPa

Longitudinal Hub Stress, Seating [SHa]: = ( f * Matm / Bcor ) / ( L * g1 ) = (1.1563*.10901E+09/1906.0001)/(0.6357*34.0000) = 89.96 MPa

Radial Flange Stress, Operating [SRo]: = ( Beta * Mop / Bcor ) / ( L * t ) = (1.2334*.16449E+09/1906.0001)/(0.6357*41.0000) = 99.58 MPa

Radial Flange Stress, Seating [SRa]: = ( Beta * Matm/Bcor ) / ( L * t ) = (1.2334*.10901E+09/1906.0001)/(0.6357*41.0000) = 65.99 MPa

Tangential Flange Stress, Operating [STo]: = ( Y * Mo / (t * Bcor) ) - Z * SRo = (21.4452*.16449E+09/(41.0000*1906.0001))-11.1114*99 = -5.83 MPa

Tangential Flange Stress, Seating [STa]:

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= ( y * Matm / (t * Bcor) ) - Z * SRa = (21.4452*.10901E+09/(41.0000*1906.0001))-11.1114*65 = -3.87 MPa

Average Flange Stress, Operating [SAo]: = ( SHo + max( SRo, STo ) ) / 2 = (135+max(99,-5))/2 = 117.67 MPa

Average Flange Stress, Seating [SAa]: = ( SHa + max( SRa, STa ) ) / 2 = (89+max(65,-3))/2 = 77.98 MPa

Bolt Stress, Operating [BSo]: = ( Wm1 / Ab ) = (3629974/31600.6055) = 114.88 MPa

Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (4315420/31600.6055) = 136.57 MPa Stress Computation Results: Operating Gasket Seating Actual Allowed Actual Allowed Longitudinal Hub 136. 207. 90. 207. MPa Radial Flange 100. 138. 66. 138. MPa Tangential Flange -6. 138. -4. 138. MPa Maximum Average 118. 138. 78. 138. MPa Bolting 115. 138. 137. 138. MPa Minimum Required Flange Thickness 38.075 mm Estimated M.A.W.P. ( Operating ) 1.2 MPa Estimated Finished Weight of Flange at given Thk. 297.9 kg Estimated Unfinished Weight of Forging at given Thk 501.8 kg

Flange Rigidity Based on Required Thickness [ASME]:

Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]: = 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go2 * ho * Ki ) = 52.14 * .10901E+09/1.0000 * 1.000 * 0.353/( 0.618 * 202713 * 22.0002 * 204.773 * 0.300 ) = 0.538 (should be

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Flg Calc [Int P] : FLANGE Flng: 10 8:14a Oct 14,2013

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Flange Input Data Values Description: FLANGE :

Shell flg-1 Description of Flange Geometry (Type) Integral Weld Neck Design Pressure P 0.35 MPa Design Temperature 300 C Internal Corrosion Allowance ci 5.0000 mm External Corrosion Allowance ce 0.0000 mm Use Corrosion Allowance in Thickness Calcs. Yes Flange Inside Diameter B 1900.000 mm Flange Outside Diameter A 2086.000 mm Flange Thickness t 44.0000 mm Thickness of Hub at Small End go 25.0000 mm Thickness of Hub at Large End g1 37.0000 mm Length of Hub h 66.0000 mm Flange Material SA-350 LF2 Flange Material UNS number K03011 Flange Allowable Stress At Temperature Sfo 129.19 MPa Flange Allowable Stress At Ambient Sfa 137.90 MPa Bolt Material SA-320 L7M Bolt Allowable Stress At Temperature Sb 137.90 MPa Bolt Allowable Stress At Ambient Sa 137.90 MPa Diameter of Bolt Circle C 2038.000 mm Nominal Bolt Diameter dB 22.0000 mm Type of Threads TEMA Metric Number of Bolts 116 Flange Face Outside Diameter Fod 2005.000 mm Flange Face Inside Diameter Fid 1900.000 mm Flange Facing Sketch 1, Code Sketch 1a Gasket Outside Diameter Go 2002.000 mm Gasket Inside Diameter Gi 1970.000 mm Gasket Factor m 4.2500 Gasket Design Seating Stress y 69.60 MPa Column for Gasket Seating 2, Code Column II Gasket Thickness tg 5.0000 mm Mating Flange Operating Bolt Load 3629974.50 N Mating Flange Seating Bolt Load 4315420.50 N Mating Flange Design Bolt Load 4336386.50 N

ASME Code, Section VIII, Division 1, 2010, 2011a

Hub Small End Required Thickness due to Internal Pressure: = (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1) = (0.35*(1900.0001/2+5.0000))/(129.19*1.00-0.6*0.35)+Ca = 7.6212 mm

Hub Small End Hub MAWP: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (129.19 * 1.00 * 20.0000 )/(955.0000 + 0.6 * 20.0000 ) = 2.672 MPa Corroded Flange Thickness, tc = T-ci 39.000 mm Corroded Flange ID, Bcor = B+2*Fcor 1910.000 mm Corroded Large Hub, g1Cor = g1-ci 32.000 mm Corroded Small Hub, g0Cor = go-ci 20.000 mm Code R Dimension, R = ((C-Bcor)/2)-g1cor 32.000 mm Gasket Contact Width, N = (Go - Gi) / 2 16.000 mm Basic Gasket Width, bo = N / 2 8.000 mm Effective Gasket Width, b = Cb sqrt(bo) 7.127 mm

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Flg Calc [Int P] : FLANGE Flng: 10 8:14a Oct 14,2013

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Gasket Reaction Diameter, G = Go - 2 * b 1987.745 mm

Basic Flange and Bolt Loads:

Hydrostatic End Load due to Pressure [H]: = 0.785 * G * Peq = 0.785 * 1987.7454 * 0.354 = 1098443.500 N

Contact Load on Gasket Surfaces [Hp]: = 2 * b * Pi * G * m * P = 2 * 7.1274 * 3.1416 * 1987.7454 * 4.2500 * 0.35 = 133914.516 N

Hydrostatic End Load at Flange ID [Hd]: = Pi * Bcor * P / 4 = 3.1416 * 1910.0000 *0.3540/4 = 1014198.625 N

Pressure Force on Flange Face [Ht]: = H - Hd = 1098443 - 1014198 = 84244.844 N

Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1098443 + 133914 + 0 , 0 ) = 1232358.000 N = 3629974.500 N , Mating Flange Load Governs

Gasket Seating Bolt Load [Wm2]: = y * b * Pi * G + yPart * bPart * lp = 69.60*7.1274*3.141*1987.745+0.00*0.0000*0.00 = 3097524.000 N = 4315420.500 N , Mating Flange Load Governs

Required Bolt Area [Am]: = Maximum of Wm1/Sb, Wm2/Sa = Maximum of 3629974/137 , 4315420/137 = 31296.498 mm^2

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 22.000 + 6 * 39.000/(4.25 + 0.5) = 93.263 mm

Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 2038.000 * sin( 3.142/116 ) = 55.188 mm

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 55.188/( 2 * 22.000 + 39.000 )), 1 ) = 1.0000

Bolting Information for TEMA Metric Thread Series (Non Mandatory): ----------------------------------------------------------------------------- Minimum Actual Maximum ----------------------------------------------------------------------------- Bolt Area, mm^2 31296.498 31600.605 Radial distance bet. hub and bolts 33.340 32.000 Radial distance bet. bolts and the edge 25.400 24.000 Circumferential spacing between bolts 53.980 55.188 93.263 -----------------------------------------------------------------------------

Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]: = Ab * Sa/( y * Pi * (Go + Gi) ) = 31600.605 * 137.90/(69.60 * 3.14 * (2002.000 + 1970.00 ) ) = 5.018 mm

Note: Recommended Min. Width for Sheet and Composite Gaskets per table 2-4 : = 38.000 mm[Note: Exceeds actual gasket width, 16.000 ]

Flange Design Bolt Load, Gasket Seating [W]: = Sa * ( Am + Ab ) / 2

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Flg Calc [Int P] : FLANGE Flng: 10 8:14a Oct 14,2013

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= 137.90 * ( 31296.4980 + 31600.6055 )/2 = 4336386.50 N

Gasket Load for the Operating Condition [HG]: = Wm1 - H = 3629974 - 1098443 = 2531530.75 N

Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 2038.0000 - 1987.7454 )/2 = 25.1273 mm

Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 32.0000 + 32.0000 + 25.1273 )/2 = 44.5637 mm

Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 32.0000 + ( 32.0000/2.0 ) = 48.0000 mm

Summary of Moments for Internal Pressure: Loading Force Distance Bolt Corr Moment End Pressure, Md 1014199. 48.0000 1.0000 48701240. N-mm Face Pressure, Mt 84245. 44.5637 1.0000 3755780. N-mm Gasket Load, Mg 2531531. 25.1273 1.0000 63636432. N-mm Gasket Seating, Matm 4336386. 25.1273 1.0000 109006048. N-mm Total Moment for Operation, Mop 116093456. N-mm Total Moment for Gasket seating, Matm 109006048. N-mm Effective Hub Length, ho = sqrt(Bcor*goCor) 195.448 mm Hub Ratio, h/h0 = HL / H0 0.338 Thickness Ratio, g1/g0 = (g1Cor/goCor) 1.600

Flange Factors for Integral Flange: Factor F per 2-7.2 0.870 Factor V per 2-7.3 0.337 Factor f per 2-7.6 1.193 Factors from Figure 2-7.1 K = 1.092 T = 1.880 U = 24.119 Y = 21.949 Z = 11.374 d = .55898E+07 mm e = 0.0045 mm ^-1 Stress Factors ALPHA = 1.174 BETA = 1.231 GAMMA = 0.624 DELTA = 0.011 Lamda = 0.635

Longitudinal Hub Stress, Operating [SHo]: = ( f * Mop / Bcor ) / ( L * g1 ) = (1.1929*.11609E+09/1910.0000)/(0.6348*32.0000) = 111.50 MPa

Longitudinal Hub Stress, Seating [SHa]: = ( f * Matm / Bcor ) / ( L * g1 ) = (1.1929*.10901E+09/1910.0000)/(0.6348*32.0000) = 104.70 MPa

Radial Flange Stress, Operating [SRo]: = ( Beta * Mop / Bcor ) / ( L * t ) = (1.2314*.11609E+09/1910.0000)/(0.6348*39.0000) = 77.49 MPa

Radial Flange Stress, Seating [SRa]: = ( Beta * Matm/Bcor ) / ( L * t ) = (1.2314*.10901E+09/1910.0000)/(0.6348*39.0000) = 72.76 MPa

Tangential Flange Stress, Operating [STo]: = ( Y * Mo / (t * Bcor) ) - Z * SRo = (21.9487*.11609E+09/(39.0000*1910.0000))-11.3743*77 = -4.60 MPa

Tangential Flange Stress, Seating [STa]:

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Flg Calc [Int P] : FLANGE Flng: 10 8:14a Oct 14,2013

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= ( y * Matm / (t * Bcor) ) - Z * SRa = (21.9487*.10901E+09/(39.0000*1910.0000))-11.3743*72 = -4.32 MPa

Average Flange Stress, Operating [SAo]: = ( SHo + max( SRo, STo ) ) / 2 = (111+max(77,-4))/2 = 94.50 MPa

Average Flange Stress, Seating [SAa]: = ( SHa + max( SRa, STa ) ) / 2 = (104+max(72,-4))/2 = 88.73 MPa

Bolt Stress, Operating [BSo]: = ( Wm1 / Ab ) = (3629974/31600.6055) = 114.88 MPa

Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (4315420/31600.6055) = 136.57 MPa Stress Computation Results: Operating Gasket Seating Actual Allowed Actual Allowed Longitudinal Hub 112. 194. 105. 207. MPa Radial Flange 77. 129. 73. 138. MPa Tangential Flange -5. 129. -4. 138. MPa Maximum Average 94. 129. 89. 138. MPa Bolting 115. 138. 137. 138. MPa Minimum Required Flange Thickness 35.204 mm

Note: MAWP Cannot be calculated due to Entered Mating Flange Loads. Estimated Finished Weight of Flange at given Thk. 297.9 kg Estimated Unfinished Weight of Forging at given Thk 501.8 kg

Flange Rigidity Based on Required Thickness [ASME]:

Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]: = 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go2 * ho * Ki ) = 52.14 * .10901E+09/1.0000 * 1.000 * 0.337/( 0.608 * 202713 * 20.0002 * 195.448 * 0.300 ) = 0.663 (should be

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Flg Calc [Int P] : FLANGE Flng: 11 8:14a Oct 14,2013

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Flange Input Data Values Description: FLANGE :

Shell flg-2 Description of Flange Geometry (Type) Integral Weld Neck Design Pressure P 0.35 MPa Design Temperature 300 C Internal Corrosion Allowance ci 5.0000 mm External Corrosion Allowance ce 0.0000 mm Use Corrosion Allowance in Thickness Calcs. Yes Flange Inside Diameter B 1900.000 mm Flange Outside Diameter A 2152.000 mm Flange Thickness t 40.0000 mm Thickness of Hub at Small End go 25.0000 mm Thickness of Hub at Large End g1 37.0000 mm Length of Hub h 66.0000 mm Flange Material SA-350 LF2 Flange Material UNS number K03011 Flange Allowable Stress At Temperature Sfo 129.19 MPa Flange Allowable Stress At Ambient Sfa 137.90 MPa Bolt Material SA-320 L7M Bolt Allowable Stress At Temperature Sb 137.90 MPa Bolt Allowable Stress At Ambient Sa 137.90 MPa Diameter of Bolt Circle C 2104.000 mm Nominal Bolt Diameter dB 22.0000 mm Type of Threads TEMA Metric Number of Bolts 88 Flange Face Outside Diameter Fod 2069.000 mm Flange Face Inside Diameter Fid 1900.000 mm Flange Facing Sketch 1, Code Sketch 1a Gasket Outside Diameter Go 2069.000 mm Gasket Inside Diameter Gi 2037.000 mm Gasket Factor m 4.2500 Gasket Design Seating Stress y 69.60 MPa Column for Gasket Seating 2, Code Column II Gasket Thickness tg 5.0000 mm

ASME Code, Section VIII, Division 1, 2010, 2011a

Hub Small End Required Thickness due to Internal Pressure: = (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1) = (0.35*(1900.0001/2+5.0000))/(129.19*1.00-0.6*0.35)+Ca = 7.6212 mm

Hub Small End Hub MAWP: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (129.19 * 1.00 * 20.0000 )/(955.0000 + 0.6 * 20.0000 ) = 2.672 MPa Corroded Flange Thickness, tc = T-ci 35.000 mm Corroded Flange ID, Bcor = B+2*Fcor 1910.000 mm Corroded Large Hub, g1Cor = g1-ci 32.000 mm Corroded Small Hub, g0Cor = go-ci 20.000 mm Code R Dimension, R = ((C-Bcor)/2)-g1cor 65.000 mm Gasket Contact Width, N = (Go - Gi) / 2 16.000 mm Basic Gasket Width, bo = N / 2 8.000 mm Effective Gasket Width, b = Cb sqrt(bo) 7.127 mm Gasket Reaction Diameter, G = Go - 2 * b 2054.745 mm

Basic Flange and Bolt Loads:

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Flg Calc [Int P] : FLANGE Flng: 11 8:14a Oct 14,2013

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Hydrostatic End Load due to Pressure [H]: = 0.785 * G * Peq = 0.785 * 2054.7454 * 0.354 = 1173740.875 N

Contact Load on Gasket Surfaces [Hp]: = 2 * b * Pi * G * m * P = 2 * 7.1274 * 3.1416 * 2054.7454 * 4.2500 * 0.35 = 138428.297 N

Hydrostatic End Load at Flange ID [Hd]: = Pi * Bcor * P / 4 = 3.1416 * 1910.0000 *0.3540/4 = 1014198.625 N

Pressure Force on Flange Face [Ht]: = H - Hd = 1173740 - 1014198 = 159542.250 N

Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1173740 + 138428 + 0 , 0 ) = 1312169.125 N

Gasket Seating Bolt Load [Wm2]: = y * b * Pi * G + yPart * bPart * lp = 69.60*7.1274*3.141*2054.745+0.00*0.0000*0.00 = 3201930.750 N

Required Bolt Area [Am]: = Maximum of Wm1/Sb, Wm2/Sa = Maximum of 1312169/137 , 3201930/137 = 23221.195 mm^2

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 22.000 + 6 * 35.000/(4.25 + 0.5) = 88.211 mm

Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 2104.000 * sin( 3.142/88 ) = 75.097 mm

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 75.097/( 2 * 22.000 + 35.000 )), 1 ) = 1.0000

Bolting Information for TEMA Metric Thread Series (Non Mandatory): ----------------------------------------------------------------------------- Minimum Actual Maximum ----------------------------------------------------------------------------- Bolt Area, mm^2 23221.195 23972.873 Radial distance bet. hub and bolts 33.340 65.000 Radial distance bet. bolts and the edge 25.400 24.000 Circumferential spacing between bolts 53.980 75.097 88.211 -----------------------------------------------------------------------------

Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]: = Ab * Sa/( y * Pi * (Go + Gi) ) = 23972.873 * 137.90/(69.60 * 3.14 * (2069.000 + 2037.00 ) ) = 3.682 mm

Note: Recommended Min. Width for Sheet and Composite Gaskets per table 2-4 : = 38.000 mm[Note: Exceeds actual gasket width, 16.000 ]

Flange Design Bolt Load, Gasket Seating [W]: = Sa * ( Am + Ab ) / 2 = 137.90 * ( 23221.1953 + 23972.8730 )/2 = 3253754.50 N

Gasket Load for the Operating Condition [HG]: = Wm1 - H = 1312169 - 1173740 = 138428.30 N

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Flg Calc [Int P] : FLANGE Flng: 11 8:14a Oct 14,2013

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Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 2104.0000 - 2054.7454 )/2 = 24.6274 mm

Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 65.0000 + 32.0000 + 24.6274 )/2 = 60.8137 mm

Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 65.0000 + ( 32.0000/2.0 ) = 81.0000 mm

Summary of Moments for Internal Pressure: Loading Force Distance Bolt Corr Moment End Pressure, Md 1014199. 81.0000 1.0000 82183384. N-mm Face Pressure, Mt 159542. 60.8137 1.0000 9706285. N-mm Gasket Load, Mg 138428. 24.6274 1.0000 3410507. N-mm Gasket Seating, Matm 3253754. 24.6274 1.0000 80163912. N-mm Total Moment for Operation, Mop 95300176. N-mm Total Moment for Gasket seating, Matm 80163912. N-mm Effective Hub Length, ho = sqrt(Bcor*goCor) 195.448 mm Hub Ratio, h/h0 = HL / H0 0.338 Thickness Ratio, g1/g0 = (g1Cor/goCor) 1.600

Flange Factors for Integral Flange: Factor F per 2-7.2 0.870 Factor V per 2-7.3 0.337 Factor f per 2-7.6 1.193 Factors from Figure 2-7.1 K = 1.127 T = 1.867 U = 17.900 Y = 16.289 Z = 8.422 d = .41484E+07 mm e = 0.0045 mm ^-1 Stress Factors ALPHA = 1.156 BETA = 1.208 GAMMA = 0.619 DELTA = 0.010 Lamda = 0.629

Longitudinal Hub Stress, Operating [SHo]: = ( f * Mop / Bcor ) / ( L * g1 ) = (1.1929*95300176/1910.0000)/(0.6292*32.0000) = 92.35 MPa

Longitudinal Hub Stress, Seating [SHa]: = ( f * Matm / Bcor ) / ( L * g1 ) = (1.1929*80163912/1910.0000)/(0.6292*32.0000) = 77.68 MPa

Radial Flange Stress, Operating [SRo]: = ( Beta * Mop / Bcor ) / ( L * t ) = (1.2077*95300176/1910.0000)/(0.6292*35.0000) = 78.15 MPa

Radial Flange Stress, Seating [SRa]: = ( Beta * Matm/Bcor ) / ( L * t ) = (1.2077*80163912/1910.0000)/(0.6292*35.0000) = 65.74 MPa

Tangential Flange Stress, Operating [STo]: = ( Y * Mo / (t * Bcor) ) - Z * SRo = (16.2890*95300176/(35.0000*1910.0000))-8.4224*78 = 5.03 MPa

Tangential Flange Stress, Seating [STa]: = ( y * Matm / (t * Bcor) ) - Z * SRa = (16.2890*80163912/(35.0000*1910.0000))-8.4224*65 = 4.23 MPa

Average Flange Stress, Operating [SAo]: = ( SHo + max( SRo, STo ) ) / 2

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Flg Calc [Int P] : FLANGE Flng: 11 8:14a Oct 14,2013

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= (92+max(78,5))/2 = 85.25 MPa

Average Flange Stress, Seating [SAa]: = ( SHa + max( SRa, STa ) ) / 2 = (77+max(65,4))/2 = 71.71 MPa

Bolt Stress, Operating [BSo]: = ( Wm1 / Ab ) = (1312169/23972.8730) = 54.74 MPa

Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (3201930/23972.8730) = 133.58 MPa Stress Computation Results: Operating Gasket Seating Actual Allowed Actual Allowed Longitudinal Hub 92. 194. 78. 207. MPa Radial Flange 78. 129. 66. 138. MPa Tangential Flange 5. 129. 4. 138. MPa Maximum Average 85. 129. 72. 138. MPa Bolting 55. 138. 134. 138. MPa Minimum Required Flange Thickness 32.563 mm Estimated M.A.W.P. ( Operating ) 0.5 MPa Estimated Finished Weight of Flange at given Thk. 348.5 kg Estimated Unfinished Weight of Forging at given Thk 665.9 kg

Flange Rigidity Based on Required Thickness [ASME]:

Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]: = 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go2 * ho * Ki ) = 52.14 * 80163912/1.0244 * 1.000 * 0.337/( 0.606 * 202713 * 20.0002 * 195.448 * 0.300 ) = 0.477 (should be

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Flange Input Data Values Description: FLANGE :

Head cover flg Description of Flange Geometry (Type) Integral Weld Neck Design Pressure P 0.35 MPa Design Temperature 300 C Internal Corrosion Allowance ci 5.0000 mm External Corrosion Allowance ce 0.0000 mm Use Corrosion Allowance in Thickness Calcs. Yes Flange Inside Diameter B 1990.000 mm Flange Outside Diameter A 2152.000 mm Flange Thickness t 100.0000 mm Thickness of Hub at Small End go 15.0000 mm Thickness of Hub at Large End g1 25.0000 mm Length of Hub h 52.0000 mm Flange Material SA-350 LF2 Flange Material UNS number K03011 Flange Allowable Stress At Temperature Sfo 129.19 MPa Flange Allowable Stress At Ambient Sfa 137.90 MPa Bolt Material SA-320 L7M Bolt Allowable Stress At Temperature Sb 137.90 MPa Bolt Allowable Stress At Ambient Sa 137.90 MPa Diameter of Bolt Circle C 2104.000 mm Nominal Bolt Diameter dB 22.0000 mm Type of Threads TEMA Metric Number of Bolts 88 Flange Face Outside Diameter Fod 2072.000 mm Flange Face Inside Diameter Fid 1990.000 mm Flange Facing Sketch 1, Code Sketch 1a Gasket Outside Diameter Go 2069.000 mm Gasket Inside Diameter Gi 2037.000 mm Gasket Factor m 4.2500 Gasket Design Seating Stress y 69.60 MPa Column for Gasket Seating 2, Code Column II Gasket Thickness tg 5.0000 mm

ASME Code, Section VIII, Division 1, 2010, 2011a

Hub Small End Required Thickness due to Internal Pressure: = (P*(D/2+Ca))/(S*E-0.6*P) per UG-27 (c)(1) = (0.35*(1990.0000/2+5.0000))/(129.19*1.00-0.6*0.35)+Ca = 7.7447 mm

Hub Small End Hub MAWP: = (S*E*t)/(R+0.6*t) per UG-27 (c)(1) = (129.19 * 1.00 * 10.0000 )/(1000.0000 + 0.6 * 10.0000 ) = 1.284 MPa Corroded Flange Thickness, tc = T-ci 95.000 mm Corroded Flange ID, Bcor = B+2*Fcor 2000.000 mm Corroded Large Hub, g1Cor = g1-ci 20.000 mm Corroded Small Hub, g0Cor = go-ci 10.000 mm Code R Dimension, R = ((C-Bcor)/2)-g1cor 32.000 mm Gasket Contact Width, N = (Go - Gi) / 2 16.000 mm Basic Gasket Width, bo = N / 2 8.000 mm Effective Gasket Width, b = Cb sqrt(bo) 7.127 mm Gasket Reaction Diameter, G = Go - 2 * b 2054.745 mm

Basic Flange and Bolt Loads:

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Flg Calc [Int P] : FLANGE Flng: 12 8:14a Oct 14,2013

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Hydrostatic End Load due to Pressure [H]: = 0.785 * G * Peq = 0.785 * 2054.7454 * 0.354 = 1173740.875 N

Contact Load on Gasket Surfaces [Hp]: = 2 * b * Pi * G * m * P = 2 * 7.1274 * 3.1416 * 2054.7454 * 4.2500 * 0.35 = 138428.297 N

Hydrostatic End Load at Flange ID [Hd]: = Pi * Bcor * P / 4 = 3.1416 * 2000.0000 *0.3540/4 = 1112029.375 N

Pressure Force on Flange Face [Ht]: = H - Hd = 1173740 - 1112029 = 61711.551 N

Operating Bolt Load [Wm1]: = max( H + Hp + H'p, 0 ) = max( 1173740 + 138428 + 0 , 0 ) = 1312169.125 N

Gasket Seating Bolt Load [Wm2]: = y * b * Pi * G + yPart * bPart * lp = 69.60*7.1274*3.141*2054.745+0.00*0.0000*0.00 = 3201930.750 N

Required Bolt Area [Am]: = Maximum of Wm1/Sb, Wm2/Sa = Maximum of 1312169/137 , 3201930/137 = 23221.195 mm^2

ASME Maximum Circumferential Spacing between Bolts per App. 2 eq. (3) [Bsmax]: = 2a + 6t/(m + 0.5) = 2 * 22.000 + 6 * 95.000/(4.25 + 0.5) = 164.000 mm

Actual Circumferential Bolt Spacing [Bs]: = C * sin( pi / n ) ) = 2104.000 * sin( 3.142/88 ) = 75.097 mm

ASME Moment Multiplier for Bolt Spacing per App. 2 eq. (7) [Bsc]: = max( sqrt( Bs/( 2a + t )), 1 ) = max( sqrt( 75.097/( 2 * 22.000 + 95.000 )), 1 ) = 1.0000

Bolting Information for TEMA Metric Thread Series (Non Mandatory): ----------------------------------------------------------------------------- Minimum Actual Maximum ----------------------------------------------------------------------------- Bolt Area, mm^2 23221.195 23972.873 Radial distance bet. hub and bolts 33.340 32.000 Radial distance bet. bolts and the edge 25.400 24.000 Circumferential spacing between bolts 53.980 75.097 164.000 -----------------------------------------------------------------------------

Min. Gasket Contact Width (Brownell Young) [Not an ASME Calc] [Nmin]: = Ab * Sa/( y * Pi * (Go + Gi) ) = 23972.873 * 137.90/(69.60 * 3.14 * (2069.000 + 2037.00 ) ) = 3.682 mm

Note: Recommended Min. Width for Sheet and Composite Gaskets per table 2-4 : = 38.000 mm[Note: Exceeds actual gasket width, 16.000 ]

Flange Design Bolt Load, Gasket Seating [W]: = Sa * ( Am + Ab ) / 2 = 137.90 * ( 23221.1953 + 23972.8730 )/2 = 3253754.50 N

Gasket Load for the Operating Condition [HG]: = Wm1 - H = 1312169 - 1173740 = 138428.30 N

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Flg Calc [Int P] : FLANGE Flng: 12 8:14a Oct 14,2013

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Moment Arm Calculations: Distance to Gasket Load Reaction [hg]: = (C - G ) / 2 = ( 2104.0000 - 2054.7454 )/2 = 24.6274 mm

Distance to Face Pressure Reaction [ht]: = ( R + g1 + hg ) / 2 = ( 32.0000 + 20.0000 + 24.6274 )/2 = 38.3137 mm

Distance to End Pressure Reaction [hd]: = R + ( g1 / 2 ) = 32.0000 + ( 20.0000/2.0 ) = 42.0000 mm

Summary of Moments for Internal Pressure: Loading Force Distance Bolt Corr Moment End Pressure, Md 1112029. 42.0000 1.0000 46724192. N-mm Face Pressure, Mt 61712. 38.3137 1.0000 2365356. N-mm Gasket Load, Mg 138428. 24.6274 1.0000 3410507. N-mm Gasket Seating, Matm 3253754. 24.6274 1.0000 80163912. N-mm Total Moment for Operation, Mop 52500056. N-mm Total Moment for Gasket seating, Matm 80163912. N-mm Effective Hub Length, ho = sqrt(Bcor*goCor) 141.421 mm Hub Ratio, h/h0 = HL / H0 0.368 Thickness Ratio, g1/g0 = (g1Cor/goCor) 2.000

Flange Factors for Integral Flange: Factor F per 2-7.2 0.855 Factor V per 2-7.3 0.272 Factor f per 2-7.6 1.751 Factors from Figure 2-7.1 K = 1.076 T = 1.886 U = 28.962 Y = 26.355 Z = 13.676 d = .15066E+07 mm e = 0.0060 mm ^-1 Stress Factors ALPHA = 1.575 BETA = 1.766 GAMMA = 0.835 DELTA = 0.569 Lamda = 1.404

Longitudinal Hub Stress, Operating [SHo]: = ( f * Mop / Bcor ) / ( L * g1 ) = (1.7507*52500056/2000.0000)/(1.4041*20.0000) = 81.80 MPa

Longitudinal Hub Stress, Seating [SHa]: = ( f * Matm / Bcor ) / ( L * g1 ) = (1.7507*80163912/2000.0000)/(1.4041*20.0000) = 124.91 MPa

Radial Flange Stress, Operating [SRo]: = ( Beta * Mop / Bcor ) / ( L * t ) = (1.7661*52500056/2000.0000)/(1.4041*95.0000) = 3.66 MPa

Radial Flange Stress, Seating [SRa]: = ( Beta * Matm/Bcor ) / ( L * t ) = (1.7661*80163912/2000.0000)/(1.4041*95.0000) = 5.58 MPa

Tangential Flange Stress, Operating [STo]: = ( Y * Mo / (t * Bcor) ) - Z * SRo = (26.3554*52500056/(95.0000*2000.0000))-13.6762*3 = 26.61 MPa

Tangential Flange Stress, Seating [STa]: = ( y * Matm / (t * Bcor) ) - Z * SRa = (26.3554*80163912/(95.0000*2000.0000))-13.6762*5 = 40.64 MPa

Average Flange Stress, Operating [SAo]: = ( SHo + max( SRo, STo ) ) / 2

PV Elite 2012 Licensee:

FileName : 301E008 -R1 -----------------------------------

Flg Calc [Int P] : FLANGE Flng: 12 8:14a Oct 14,2013

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= (81+max(3,26))/2 = 54.21 MPa

Average Flange Stress, Seating [SAa]: = ( SHa + max( SRa, STa ) ) / 2 = (124+max(5,40))/2 = 82.77 MPa

Bolt Stress, Operating [BSo]: = ( Wm1 / Ab ) = (1312169/23972.8730) = 54.74 MPa

Bolt Stress, Seating [BSa]: = ( Wm2 / Ab ) = (3201930/23972.8730) = 133.58 MPa Stress Computation Results: Operating Gasket Seating Actual Allowed Actual Allowed Longitudinal Hub 82. 194. 125. 207. MPa Radial Flange 4. 129. 6. 138. MPa Tangential Flange 27. 129. 41. 138. MPa Maximum Average 54. 129. 83. 138. MPa Bolting 55. 138. 134. 138. MPa Minimum Required Flange Thickness [Rigidity] 95.936 mm Estimated M.A.W.P. ( Operating ) 0.5 MPa Estimated Finished Weight of Flange at given Thk. 464.3 kg Estimated Unfinished Weight of Forging at given Thk 627.5 kg

Flange Rigidity Based on Required Thickness [ASME]:

Flange Rigidity Index, Seating (rotation check) per APP. 2 [Js]: = 52.14 * Ma / Bsc * Cnv_fac * V / ( Lambda * Eamb * go2 * ho * Ki ) = 52.14 * 80163904/1.0000 * 1.000 * 0.272/( 1.321 * 202713 * 10.0002 * 141.421 * 0.300 ) = 1.000 (should be