sigma circular flange connections accord. to ... · *h 2127* en 1591 only checks the flange ring of...

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SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Order : A_HAND1 No.: Order-001 Drawing : Z_HAND1 No.: Section-001 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.: EN welding-neck flange and blind flange with nubbin Name : Schettki Dep.: Tel.:

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Page 1: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Order : A_HAND1 No.: Order-001 Drawing : Z_HAND1 No.: Section-001 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.: EN welding-neck flange and blind flange with nubbin Name : Schettki Dep.: Tel.:

Page 2: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 1/ 14

Order : A_HAND1 No.: Order-001 Drawing : Z_HAND1 No.: Section-001 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.: EN welding-neck flange and blind flange with nubbin Name : Schettki Dep.: Tel.:

Verification Flange 2 Pos.-No.: blind ============================================================ *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate via a suitable Code (e.g. EN 13445).

Verification : Ext. sleeve - Pos.-No.: Huelse ============================================================ *H 2413* For extension sleeves no proof of stress or stability was led.

Page 3: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 2/ 14

Order : A_HAND1 No.: Order-001 Drawing : Z_HAND1 No.: Section-001 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.: EN welding-neck flange and blind flange with nubbin Name : Schettki Dep.: Tel.:

R e s u l t s: Load conditions ══════════════ ──────────────────────────────────────────────────────────────────────────── Condition:0 (Assembly cond.) Notation: Einbau ──────────────────────────────────────────────────────────────────────────── Temperature T0 (°C) 20.00 * Tightening method with torque wrench * Scatter (single bolt) epsilon (1-)/(1+) 0.16 0.16 Minimum load ratio of bolts PhiB0min 0.70 * Tightening bolting force FB0,specified (kN) 3806.04 Bolt assemby torque acc. to Fo. (B.4) Mt0,sp.(Nm) 1100.00 * Bolt assemby torque max. allowable Mt0,sp.(Nm) 1409.00 Number of assemblies and retightenings NR 10 * ──────────────────────────────────────────────────────────────────────────── Subsequ. condit.:1 (Working cond.) Notation: ──────────────────────────────────────────────────────────────────────────── Fluid pressure internal/external Pi/Po (MPa) 4.00 * 0.00 * Temperature1.Flange TF (°C) 250.00 * 2.Flange TF (°C) 250.00 Bolts / Gaskets TB/TG (°C) 235.00 * 250.00 Washer,sleeve / clamped plate TW/TP (°C) 235.00 Resultent bending moment MA (Nm) 2.00 * Axial additional force FA (kN) 5.00 *

Flange joint summary: ═════════════════════ Flange 1 : Flange type Welding-neck flange ─────────── Flange facing type Nubbin Flange orientation outwards Attached component Cylindrical shell

Flange 2 : Flange type Flat closure ─────────── Flange facing type Nubbin

Connection: Gasket type Non-metallic flat gasket ─────────── Bolts type Bolt with nut Additional clamped components Extension sleeves

Calculation of design stresses accord.: Metallic piping - EN 13480 ───────────────────────────────────────

Page 4: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 3/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

Flange joint summary: ═════════════════════

Component │ Standards │ ─────────────┼─────────────────────────────────────────────────────────────┤ 1.Flange │ Dimension EN 1092-1/11/B/DN 500/PN 40/16Mo3 │ │ Tolerance EN 1092-1 /Cl.1 (01/13) │ 2.Flange │ Dimension EN 1092-1/05/B/DN 500/PN 40/16Mo3 │ │ Tolerance EN 1092-1 /Cl.1 (01/13) │ gasket │ Dimension EN 1514-1/DN 500/PN 40/ │ │ Klinger, Klingersil C-4400 2.0 mm │ Ext.sleeve │ Dimension DIN 2510-7 /F. D (03/90) * │ Bolts │ Dimension EN ISO 4016 / all (03/11) * │

Mean dimensions Pos.-No. │ internal │ external │ act.thick.│ ───────────────────────────────────────┼───────────┼───────────┼───────────┤ 1.Flange p01 (mm)│ 479.60 S │ 755.00 S │ 57.00 S │ Hub Thick end (mm)│ 479.60 │ 562.00 S │ 41.20 S │ thin end (mm)│ 479.60 │ 508.00 S │ 14.20 S │ 2.Flange blind (mm)│ 475.00 S │ 755.00 S │ 57.00 S │ gasket p5 (mm)│ 508.00 S │ 628.00 S │ 2.00 * │ Ext.sleeve Huelse (mm)│ 43.00 S │ 58.50 S │ 40.00 * │

Weight of connection (without att. comp. and gasket) (kg) 389.48

Bolts Pos.-No. P4 number nB 20 S Nominal diameter dBO (mm) 39.00 S Nominal lenght l (mm) 220.00 S Bolt hole flange 1 / flange 2 d5 (mm) 42.00 S 42.00 S Bolt circle diameter d3 (mm) 670.00 S Friction factor for bolting miBn/miBt 0.12 * 0.10

Component │ Material │ Material notation │ Load ratio │ │ number │ │maximum │ (%) │ │ │ │ loadcase│ │ ─────────────┼───────────┼────────────────────────────────┼─────────┼──────┤ 1.Flange │ 1.5415 * │ 16Mo3 │0.568 L1 │ 56.8│ 2.Flange │ 1.5415 * │ 16Mo3 │0.831 L1 │ 83.1│ Ext.sleeve │ 1.5415 * │ 16Mo3 │ - │ - │ Bolts │ 1.1181 * │ C35E │0.781 L0 │ 78.1│ Gasket │ Klinger, Klingersil C-4400 2.0 mm │0.216 L0 │ 21.6│

Leackage rate L (mg/(s*m)) 10E-2 *

Page 5: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 4/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.: ════════════════════════════════════════════════════════════════════════════ R e s u l t s: Assembly condition Einbau ════════════════════════════════════════════════════════════════════════════ Temperature T0 (°C) 20.00 * Number of assemblies and retightenings NR 10 * Tightening method with torque wrench * Scatter (global laod) epsilon (-)/(+) 0.0669 0.0669 Bolts load ratio minimum PhiB0min 0.70 *

Additional external loads ───────────────────────── Resultant additional axial force FR0 (kN)

Gasket force ────────────── Initial value (determ.FG0req) Fo.(1) FG0 (kN) 3551.42 subs. condit. 1 Fo.(51 old)/min. FGDelta/FG0min (kN) 3171.72 751.49 necessary FG0req (kN) 3171.72 maximum (for load limit, rotation) FG0max (kN) 4060.66 allowable (load ratio, allow. rotation) FG0all (kN) 15714.41 designed for subsequ. condit. Fo.(2 new) FG0d (kN) 3551.42

Bolt load ────────────── required FB0req (kN) 3171.72 Nominal used (FB0,specified) FB0nom (kN) 3806.04 - single bolt (kN) 190.30 maximum (to evaluate load limit) FB0max (kN) 4060.66

Tightening bolting force FB0,specified (kN) 3806.04 Bolt assemby torque Mt0,specified (Nm) 1100.00 * - with acc. Fo. (B.6) kB (mm) 5.78

Bolt assemby torque max. allowable Mt0,sp. (Nm) 1409.00 - relevant: Bolts/ Load ratio/ Assemb.

Torque of bolt shank ──────────────────── Nominal torque acc. to Fo. (B.9) Mt.Bnom (Nm) 520.74 Correction factor acc.to section 8.2 cA 1.00

Bolts - Number of bolts nB 20 ───── - required (load ratio) nBreq 15.20

Evenness of gasket compression (EN 1591-1, Ann. A, Edition 2011) - required 1.Flange nBmin 10.65 2.Flange nBmin 11.02 - max.distance 1.Flange pBmax (mm) 197.62 2.Flange pBmax (mm) 191.01

Flexibility of connection YB0/YG0 (10E-4mm/kN) 0.48 1.27 Correction factor (Fo.(123)) cB 1.00

Page 6: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 5/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

R e s u l t s: Assembly condition Einbau ══════════════

Assembly condit. │ Load ratio │Load ratio│ relev.design stress│ ─────────────────────────────┼─────────────┼──────────┼────────────────────┤ 1.Flange (PhiF Fo.(129)) │ PhiF 0.394 │ 39.4 % │ fF (2) 261.16 MPa │ Connect. shell │ - │ - │ fE 261.16 MPa │ 2.Flange (PhiF Fo.(145)) │ PhiF 0.327 │ 32.7 % │ fF (2) 261.16 MPa │ Bolts │ PhiB 0.781 │ 78.1 % │ fB (2) 284.90 MPa │ Bolt nuts │ - │ - │ fN 284.90 MPa │ Gasket (PhiG Formula(128)) │ PhiF 0.216 │ 21.6 % │ - │ Gasket (PhiG refer.to AGe) │ PhiF 0.730 │ 73.0 % │ - │

Factors │ Sign for jM │ Sign jS │ cM**2 │ cM │ kS │ kM │ ───────────┼──────────────┼──────────┼─────────┼─────────┼────────┼────────┤ 1.Flange │ 1 │ 1 │ 1.330 │ 1.153 │ 1 │ 1.000 │

Ratio of radial forces Flange ring │ PSImin│ PSI0 │ PSIopt│ PSImax│ PSIZ │ ───────────────────────────────────┼───────┼───────┼───────┼───────┼───────┤ 1.Flange │-0.482 │ 0.000 │ 1.000 │ 0.482 │ 0.482 │

Flange rotation │ 1.Flange │ 2.Flange │ actual │ allowable │ (degree) │ ThetaF │ ThetaL │ ThetaF │ ThetaL │ Theta │ (absolut) │ ────────────────┼────────┼────────┼────────┼────────┼─────────┼────────────┤ Bolt deflection │ 0.2304 │ - │ 0.2585 │ - │ 0.4889 │ 2.0000 * │ Gasket areas │ 0.2304 │ - │ 0.2585 │ - │ 0.4889 │ 2.0000 * │

Material datas of the gasket ──────────────────────────── Surface pressure actual prior to unloading QA,specif.(MPa) 127.60

Gasket surface pressure minimum required Qmin(L) (MPa) 27.00

Surface pressure Maximum allowable QSmax (MPa) 200.00 actual - relating to AGt (MPa) 43.03 AGe (MPa) 145.90

Modulus of elasticity EG0 (MPa) 6170.15 Gasket thickness at compressive stress eG(QG0) (mm) 1.58 Mean effect. compress. stress Fo.(57) QG0 (MPa) 127.60 (for determination of eG(QG0) at assemby and of EG, PQR in all load conditions)

Flange connection: Resistances ─────────────────────────────── 1.Flange Resistance effective/ necess. WF (Nm) 343091.90 134854.51 2.Flange Resistance effective/ necess. WF (Nm) 413525.00 134854.51 effective/ necess. Wx (Nm) 377853.71 115992.80

Page 7: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 6/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.: ════════════════════════════════════════════════════════════════════════════ R e s u l t s: Subsequent condition 1 Condition type Working condit. ════════════════════════════════════════════════════════════════════════════ Fluid pressure inside/ outside Pi/Po (MPa) 4.00 * 0.00 * Design pressure P (MPa) 4.00 Design pressure - max. allowable Pmax (MPa) 4.47 - relevant: FB0,specified/ FG0 Fo.(1) > FG0req/ Assemb.

Temperat. 1.Flange / 2.Flange TF (°C) 250.00 * 250.00 Bolts / Gasket TB/TG (°C) 235.00 * 250.00 Extension sleeve TW (°C) 235.00 External bending moment MA (Nm) 2.00 * Add. axial force (from bending moment) FA(MA) (kN) 0.01 Additional axial force FA (kN) 5.00 * Resultant additional axial force FR (kN) 5.01 Fluid force axial FQ (kN) 1131.88

Gasket load: Required min. Fo.(104) FGmin (kN) 278.33 ──────────── required Fo.(68 old) FG (kN) 556.52 - max. acc. (E.8 old) (Flange rotation) FGmax (kN) 929.62 allowable (load ratio, allow. rotation) FGall (kN) 3189.75 Bolt load (Formula (122)) FB (kN) 1693.41

Bolts - Number of bolts nB 20 ───── - required (load ratio) nBreq 11.95 Flexibility of the connection YB/YG (10E-4mm/kN) 0.52 1.37 YR/YQ (10E-4mm/kN) 3.83 2.81 Temp.-elonga. (axial) of connect. DeltaU (10E-3mm) -39.75 Correction factor (Fo.(123)) cB 1.00

Working condit. │ Load ratio │Load ratio│ relev.design stress│ ─────────────────────────────┼─────────────┼──────────┼────────────────────┤ 1.Flange (PhiF Fo.(129)) │ PhiF 0.568 │ 56.8 % │ fF (2) 130.00 MPa │ Connect. shell │ - │ - │ fE 130.00 MPa │ 2.Flange (PhiF Fo.(145)) │ PhiF 0.831 │ 83.1 % │ fF (2) 130.00 MPa │ Bolts │ PhiB 0.598 │ 59.8 % │ fB (2) 145.20 MPa │ Bolt nuts │ - │ - │ fN 145.20 MPa │ Gasket │ PhiF 0.030 │ 3.0 % │ - │

Ratio of radial forces Flange ring │ PSImin│ PSI0 │ PSIopt│ PSImax│ PSIZ │ ───────────────────────────────────┼───────┼───────┼───────┼───────┼───────┤ 1.Flange │-0.586 │-0.071 │ 1.000 │ 0.359 │ 0.359 │

Flange rotation │ 1.Flange │ 2.Flange │ actual │ allowable │ (degree) │ ThetaF │ ThetaL │ ThetaF │ ThetaL │ Theta │ (absolut) │ ────────────────┼────────┼────────┼────────┼────────┼─────────┼────────────┤ Bolt deflection │ 0.2274 │ - │ 0.3441 │ - │ 0.5715 │ 1.0000 * │ Gasket areas │ 0.2274 │ - │ 0.3441 │ - │ 0.5715 │ 1.0000 * │

Page 8: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 7/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

R e s u l t s: Subsequent condition 1 ══════════════ Condition type Working condit.

Surface pressure - minimum required at tightness class L QS,min(L) (MPa) 10.00 (in service condition after unloading) - actual QA,specif.(MPa) 127.60 Surface pressure Maximum allowable QSmax (MPa) 200.00 Creep factor at load condition PQR 0.79 Modulus of elasticity EG (MPa) 6467.83 Integral thermal expansion coefficient alfa (10E-6/K) 12.95

1.Flange Resistance effective/ necess. WF (Nm) 160204.10 90882.02 2.Flange Resistance effective/ necess. WF (Nm) 205845.20 170975.01 effective/ necess. Wx (Nm) 188088.71 48372.26

Page 9: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 8/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

════════════════════════════════════════════════════════════════════════════ Results 1.Flange Pos.-No. p01 Des.: Type Welding-neck flange Direct. outwards ════════════════════════════════════════════════════════════════════════════ Dimensions: relevant Given data ──────────── Series Dimens. series standard EN 1092-1 (01/13) * Tolerance condition EN 1092-1 /Cl.1 (01/13) Nominal diameter DN 500.00 * Nom. pressure PN 40.00 * Diameter inside /outside diF/doF (mm) 479.60 S 755.00 S Bolt circle/bolt hole d3 /d5 (mm) 670.00 S 42.00 S

Hub Thick end ────── Diameter inside / outside diH / doH (mm) 479.60 562.00 S Wall thickness actual / w/o allowances eH / erH (mm) 41.20 S 40.20 Corner radius at flange plate rH (mm) 12.00 S Length lH (mm) 63.00 S Mean diameter / min.wall thick.d2 / e2 (mm) 521.80 40.20

Hub thin end ────── Diameter inside / outside diR / doR (mm) 479.60 508.00 S Wall thickness actual / w/o allowances eR / erR (mm) 14.20 S 13.20 Tube hub radius / length rR / lR (mm) 12.00 S 20.00 S Mean diameter / min.wall thick.d1 / e1 (mm) 494.80 13.20

┌────────────────────────────────────────────────────────────────────────────┐ │ Thickness flange plate (maximum) tF 57.00 S mm │ │ effective axial - w/o allowances eF 52.66 mm │ └────────────────────────────────────────────────────────────────────────────┘ Axial thickness (temper. elongation) eFt (mm) 57.00 Addition Tolerance c1F (mm) 2.00 Wear out inside / outside c2iF/c2oF (mm) 1.00 * 0.00 * Weight (kg) 128.78

Lever arms and parameters for elasticity calculation ──────────────────────────────────────────────────── Lever arm hG / hH (mm) 33.21 80.06 hL (mm) 0.00 Lever arm correction hP (mm) 16.45 hS / hT (mm) 21.10 24.64 hQ / hR (mm) 17.23 -3.17 Rotational flexibility modulus ZF (10E-4/mm3) 0.0632 Intermediate working variable gama/theta 0.276 1.174 lambda 0.000 Correction factor cF 0.172

Page 10: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 9/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

Results 1.Flange Pos.-No. p01 Des.: ═══════ Type Welding-neck flange

Effective dimensions 1.Flange ───────────────────── Design diameter d0 / d4 (mm) 481.60 755.00 Mean diameter / width dF / bF (mm) 618.30 110.17 Cross section area max. / effective AF' / AF (cm2) 78.49 71.99 Reduction by facing / Addition AF2 / AF3 (cm2) 2.80 3.70 Add. cross section reduction AF1 (cm2) 0.00 Bolt circle diameter / bolt hole d3e / d5e (mm) 666.65 26.53

Effective dimensions Con.shell ───────────────────── Equivalent mean shell diameter dE (mm) 506.53 Wall thickness eE/eD (mm) 24.93 32.44

════════════════════════════════════════════════════════════════════════════ Results 2.Flange Pos.-No. blind Des.: Type Flat closure ════════════════════════════════════════════════════════════════════════════ Dimensions: relevant Given data ──────────── Series Dimens. series standard EN 1092-1 (01/13) * Tolerance condition EN 1092-1 /Cl.1 (01/13) Nominal diameter DN 500.00 * Nom. pressure PN 40.00 * Diameter inside /outside diF/doF (mm) 475.00 S 755.00 S Bolt circle/bolt hole d3 /d5 (mm) 670.00 S 42.00 S Mean diameter / min.wall thick.d1 / e1 (mm) 57.00

┌────────────────────────────────────────────────────────────────────────────┐ │ Thickness flange plate (maximum) tF 57.00 S mm │ │ effective axial - w/o allowances eF 52.51 mm │ └────────────────────────────────────────────────────────────────────────────┘ Axial thickness (temper. elongation) eFt (mm) 57.00 Addition Tolerance c1F (mm) 2.00 Wear out inside / outside c2iF/c2oF (mm) 1.00 * 0.00 * Weight (kg) 184.30 End part Thickness max. / net eB / e0 (mm) 57.00 S 54.00 Weak cross sectoin wall thck./ diamet. ex / dx (mm) 51.04 612.87

Lever arms and parameters for elasticity calculation ──────────────────────────────────────────────────── Lever arm hG / hH (mm) 33.21 79.33 hL (mm) 0.00 Lever arm correction hP (mm) 6.72 hQ / hR (mm) 45.48 127.00 Rotational flexibility modulus ZF (10E-4/mm3) 0.0709 Ratio of diameters rho 0.00

Page 11: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 10/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

Results 2.Flange Pos.-No. blind Des.: ═══════ Type Flat closure

Effective dimensions 2.Flange ───────────────────── Design diameter d0 / d4 (mm) 508.00 755.00 Mean diameter / width dF / bF (mm) 631.50 96.97 Cross section area max. / effective AF' / AF (cm2) 70.40 64.86 Reduction by facing / Addition AF2 / AF3 (cm2) 2.80 2.74 Add. cross section reduction AF1 (cm2) 0.00 Bolt circle diameter / bolt hole d3e / d5e (mm) 666.65 26.53

Effective dimensions (without attached shell) ───────────────────── Equivalent mean diameter dE (mm) 508.00 Wall thickness eE (mm) 0.00

════════════════════════════════════════════════════════════════════════════ Results Bolts Pos.-No. P4 Des.: Type Bolt with nut ════════════════════════════════════════════════════════════════════════════ Dimensions: relevant Flange 1 / Stand.flange data ──────────── Series Dimens. series standard EN ISO 4016 / all (03/11) * Nominal diameter actual dBO (mm) 39.00 S Length / length without thread l /ls (mm) 220.00 S 117.00 S Clamping length axial lB (mm) 156.00 Diameter effective / Shank dBe/dBs(mm) 35.25 S 38.00 S Cross section area effective AB (cm2) 195.18 Torque plastic (sectional area) IB (mm3) 11466.90 acc.to EN 1591-1:2001+A1:2009+AC:2011, section 3.3 Height of nut eN (mm) 31.20 Mass (without nut) (kg) 3.43

Mean contact diameter - Nut or bolt head dn (mm) 50.70 - at the thread dt (mm) 36.40 Thread pitch pt (mm) 4.00 S Half thread-angle alfaB (Grad) 30.00 Coeffitient formula (B.6) kB (mm) 5.78

Bolts - used nB 20 S Number min. (gasket pressure) nBmin 11.02 necessary (load ratio) nBreq 15.20 maximum possible (assemble) nBmax 25.51 Bolt pitch pB (mm) 105.24 Axial flexibility modulus XB (10E-4/mm) 84.6224

Surface condition smooth and lubricated * Friction factor for bolting miBn/miBt 0.12 * 0.10 Bolt circle diameter actual / effective d3/d3e (mm) 670.00 S 666.65 Bolt hole 1st flange / 2nd flan. d5 (mm) 42.00 S 42.00 S effective / effect. d5e (mm) 26.53 26.53

Page 12: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 11/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

════════════════════════════════════════════════════════════════════════════ Results gasket Pos.-No. p5 Des.: Type Non-metallic flat gasket ════════════════════════════════════════════════════════════════════════════ Main group: EN 1514-1 Non metallic flat gaskets with/without insertions Subgroup : Fibre gaskets Designation of gasket: Klinger, Klingersil C-4400 2.0 mm Leackage rate L (mg/(s*m)) 10E-2 *

Dimensions: relevant Given data ──────────── Series Dimens. series standard EN 1514-1 /F. B (08/97) * Nominal diameter DN 500.00 * Nom. pressure PN 40.00 * Diameter inside / outside diG/doG (mm) 508.00 S 628.00 S Mean diameter dmG (mm) 568.00 Gasket width bGN (mm) 60.00 Gasket thickness eGN (mm) 2.00 * Coefficient of friction miG 0.25

Flange facing surfaces ─────────────────────── Flange 1 Type Nubbin * Nubbin height /diameter f1/d1(mm) 4.00 S 615.00 S

Flange 2 Type Nubbin * Nubbin height /diameter f1/d1(mm) 4.00 S 615.00 S

Theoretical dimensions gasket ────────────────────── Effective diameter internal/ external dG1/dG2 (mm) 508.00 615.00 Mean gasket diameter dGt (mm) 561.50 Width interim (Flange 1) / theoretical bGi/bGt (mm) 14.76 53.50 Thickness axial eGt (mm) 2.00 Cross section area AGt (cm2) 943.74

Effective dimensions gasket ───────────────────── Gasket diameter / width dGe/bGe (mm) 600.24 14.76 Cross section area AGe (cm2) 278.33 Area for axial fluid force FQ AQ (cm2) 2829.70 Axial flexibility modulus acc. eG(QG0) XG (10E-4/mm) 0.5844

Page 13: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 12/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

════════════════════════════════════════════════════════════════════════════ Results Ext.sleeve Pos.-No. Huelse Des.: Type Extension sleeves Placing of gasket At one side, flange 1 ════════════════════════════════════════════════════════════════════════════ Dimensions ────────── Series Dimens. series standard DIN 2510-7 /F. D (03/90) * Diameter internal/ external dW1 /dW2 (mm) 43.00 S 58.50 S Ring width actual / net bW /brW (mm) 7.75 S Ring height actual / net eW /erW (mm) 40.00 * Extreme contact diameter inside/outside dK1 /dK2 (mm) 43.00 50.00 Maximimum outside contact diameter dB4 (mm) 50.75 (between bolt head/nut and washer/sleeve) Contact width bolt side bKB (mm) 3.50 Elasticity factor axial XW (10E-4/mm) 16.7734 Weight (kg) 0.39

════════════════════════════════════════════════════════════════════════════ Material: ════════════════════════════════════════════════════════════════════════════ Material : Id.-No./Data/G.-No.│ 1.5415 / Basis / 3 │ 1.Flange : Refer.Stand./ Rule │ EN / General / SEW │ ────────── Designation │ 16Mo3 │ Production Form │ Forging │ Supply C. / Certif.│ quenched / no │ Quality / Density│ ferrite / 7.86 Mg/m3 │ Elongation at frac.│ 21.00 % │ Ruling Dimens. (mm)│ 85.50 EN 10222-1 (07/02)│ Source Strength values │ EN 10222-2:1999+AC:2000 D (02/00)│ ──────────────────────────────┴───────────────────────────────────────────┘ Material : Id.-No./Data/G.-No.│ 1.5415 / Basis / 3 │ 2.Flange : Refer.Stand./ Rule │ EN / General / SEW │ ────────── Designation │ 16Mo3 │ Production Form │ Forging │ Supply C. / Certif.│ quenched / no │ Quality / Density│ ferrite / 7.86 Mg/m3 │ Elongation at frac.│ 21.00 % │ Ruling Dimens. (mm)│ 85.50 EN 10222-1 (07/02)│ Source Strength values │ EN 10222-2:1999+AC:2000 D (02/00)│ ──────────────────────────────┴───────────────────────────────────────────┘ Material : Id.-No./Data/G.-No.│ 1.1181 / Basis / 2 │ Bolts : Refer.Stand./ Rule │ EN / General / General │ ────────── Designation │ C35E │ Production Form │ Bolts / nuts │ Supply C. / Certif.│ quenched / no │ Quality / Density│ ferrite / 7.85 Mg/m3 │ Elongation at frac.│ 22.00 % │ Source Strength values │ EN 10269:2013 D (10/13)│ ──────────────────────────────┴───────────────────────────────────────────┘

Page 14: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 13/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

════════════════════════════════════════════════════════════════════════════ Material: ════════════════════════════════════════════════════════════════════════════ Material : Id.-No./Data/G.-No.│ 1.5415 / Basis / 3 │ Ext.sleev: Refer.Stand./ Rule │ EN / General / SEW │ ────────── Designation │ 16Mo3 │ Production Form │ Tube / seamless │ Supply C. / Certif.│ normalized / no │ Quality / Density│ ferrite / 7.86 Mg/m3 │ Elongation at frac.│ 20.00 % │ Source Strength values │ EN 10216-2:2013 D (12/13)│ ──────────────────────────────┴───────────────────────────────────────────┘

Page 15: SIGMA Circular flange connections accord. to ... · *H 2127* EN 1591 only checks the flange ring of the blind flange. Additionally the blind flange has to be controled as flat plate

SIGMA Circular flange connections accord. to Ingenieurgesellschaft mbH EN 1591-1, Edition 12/2013 P R O B A D - SIGMA Ingenieurgesellschaft mbH Release : 05.02.05 (12/2017) Date:12.02.2018 11:13:08h Sheet: 14/ 14 Dataset : WEBPAGE_EN_1591_WNF_BLIND No.:

════════════════════════════════════════════════════════════════════════════ Material data: Assembly condition Einbau ════════════════════════════════════════════════════════════════════════════ Material - datas │ parameter│ safety │nom. design│ Assembly condit. │ (MPa) │ factor │stress(MPa)│ ──────────────────────────────────────────┼──────────┼─────────┼───────────┤ 1.Flange 0.2 % yield stress Rp 0.2 / T0│ 275.00 │ 1.05 S │ 261.16 │ 2.Flange 0.2 % yield stress Rp 0.2 / T0│ 275.00 │ 1.05 S │ 261.16 │ Bolts 0.2 % yield stress Rp 0.2 / T0│ 300.00 │ 1.05 S │ 284.90 │

E-modul./T0 1.Flange EF0 (GPa) 212.00 2.Flange EF0 (GPa) 212.00 Bolts EB0 (GPa) 211.00 Extension sleeve EW0 (GPa) 212.00 ════════════════════════════════════════════════════════════════════════════ Material data: Subsequent condition 1 Type of load condition Working condit. ════════════════════════════════════════════════════════════════════════════ Material - datas │ parameter│ safety │nom. design│ Working condit. │ (MPa) │ factor │stress(MPa)│ ──────────────────────────────────────────┼──────────┼─────────┼───────────┤ 1.Flange Tensile strength Rm 20.0 °C │ 440.00 │ 2.40 S │ 183.33 │ 0.2 % yield stress Rp 0.2 / T │ 195.00 │ 1.50 S │ 130.00 │ 2.Flange Tensile strength Rm 20.0 °C │ 440.00 │ 2.40 S │ 183.33 │ 0.2 % yield stress Rp 0.2 / T │ 195.00 │ 1.50 S │ 130.00 │ Bolts Tensile strength Rm 20.0 °C │ 500.00 │ 2.40 S │ 208.33 │ 0.2 % yield stress Rp 0.2 / T │ 217.80 │ 1.50 S │ 145.20 │

physical │ Elasticity factor │ Thermal expansion coefficient│ datas │ E / T (GPa) │ integral alfa / T (10E-6/K) │ ─────────────────┼──────────────────────────┼──────────────────────────────┤ 1.Flange │ 195.50 │ 12.95 │ 2.Flange │ 195.50 │ 12.95 │ Bolts │ 192.50 │ 12.38 │ Extension sleeve │ 196.55 │ 12.88 │

Legend: * = entered value S = Table or standard value Strength value relevant for determination of allowable stress: (1) = Rm/20 (2) = Rp 0.2 (3) = Rp 1.0 (4) = Rm/tc (5) = Rm/T/tc (6) = Rm/100.000/tc (7) = Rm/T/tc extrapolated *** End of results ***