flange #: plant: id code: nomenclature: flange calculation ... · nomenclature:-flange calculation...

11
LJC s.a.r.l. date: 14.05.2014 4 et 6, rue de Bièvre - BP 40046 calculated: - 92163 ANTONY Cedex checked: - FRANCE revision: - flange #: - plant: - ID code: - nomenclature: - Flange calculation according to EN 1591-1:2001 + A1:2009 test condition: 20 °C 44 bar load condition 1: 206 °C 18 bar load condition 2: 210 °C 26 bar bolts: G41400 1Cr-1/5Mo (A193 B7) 16 x M20 (EN ISO 4014) gasket: MPR® GASKET 'SP' PETRO 4,0mm 363 x 323 x 4,5 mm (2 pieces) tightening device: torque wrench = wrench with measuring of torque (only) recommended assembly presetting: 400 Nm 0,229 mm 1988 kN min. required assembly presetting: 245 Nm 0,140 mm 1217 kN max. allowable assembly presetting: 419 Nm 0,239 mm 2080 kN max. load ratio bolts: 0,88 (assembly) max. load ratio flange 1: 0,96 (assembly) max. load ratio flange 2: 0,96 (assembly) max. load ratio gasket: 0,33 (assembly) compliance of min. required gasket stress: 1,00 (assembly) remarks: To model the flange with tube plate as practical as possible, the depth of the recesses has been reduced so that the seals are in the main power circuit. To model the grip length and the thermal expansion of the tube plate correctly, the height of the tube sheet has been taken into account by expansion sleeves. Reducing the clamping length of the changes in the recesses is balanced with the sleeve length. calculated checked checked customer checked third-party division amtec amtec name - - date 14.05.2014 14.05.2014 signature TEMES fl.cal (Ver: 7.01) Page 1 print date: 20.05.2014

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Page 1: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

test condition: 20 °C 44 bar

load condition 1: 206 °C 18 bar

load condition 2: 210 °C 26 bar

bolts: G41400 1Cr-1/5Mo (A193 B7)

16 x M20 (EN ISO 4014)

gasket: MPR® GASKET 'SP' PETRO 4,0mm

363 x 323 x 4,5 mm (2 pieces)

tightening device: torque wrench = wrench with measuring of torque (only)

recommended assembly presetting: 400 Nm 0,229 mm 1988 kN

min. required assembly presetting: 245 Nm 0,140 mm 1217 kN

max. allowable assembly presetting: 419 Nm 0,239 mm 2080 kN

max. load ratio bolts: 0,88 (assembly)

max. load ratio flange 1: 0,96 (assembly)

max. load ratio flange 2: 0,96 (assembly)

max. load ratio gasket: 0,33 (assembly)

compliance of min. required gasket stress: 1,00 (assembly)

remarks:

To model the flange with tube plate as practical as possible, the depth of the recesses has been reduced so that the seals are in the main power circuit. To model the grip length and the thermal expansion of the tube plate correctly, the height of the tube sheet has been taken into account by expansion sleeves. Reducing the clamping length of the changes in the recesses is balanced with the sleeve length.

calculated checked checked customer checked third-party

division amtec amtec

name - -

date 14.05.2014 14.05.2014

signature

TEMESfl.cal

(Ver: 7.01) Page 1 print date: 20.05.2014

Page 2: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

input values

loadsassembly test cond. load cond.1 load cond.2

temperature T 20 20 206 210 °C

internal pressure p 0 4,4 1,8 2,6 MPa

additional forces according EN 1092-1

external axial force FA0 0 174 174 kN

external bending moment MA0 0 0 0 kNm

remarks on loads For all components the same temperature is applied. Covering additional loads according to DIN EN 1092-1 considered.

geometry

flange 1type weld-neck flange

hub conical hub

code -

nominal pressure / nominal size -

blind hole no

outer diameter flange d4440,00 mm

bolt circle diameter d3398,00 mm

inner diameter flange d0303,80 mm

diameter of bolt hole d522,00 mm

thickness of flange ring bF35,00 mm

thickness of wall eS10,00 mm

wall thickness at thick end of hub e218,00 mm

lenght of conical hub lH 32,00 mm

type of raised faces type F - recess

code DIN 2633

nominal pressure / nominal size PN16/DN50

height of raised face f1 0,00 mm

depth of recess f3 3,00 mm

outer diameter raised face d1440,00 mm

outer diameter recess Y 366,00 mm

remarks on flange 1

flange 2type weld-neck flange

hub conical hub

code -

nominal pressure / nominal size -

blind hole no

outer diameter flange d4440,00 mm

bolt circle diameter d3398,00 mm

inner diameter flange d0303,80 mm

diameter of bolt hole d522,00 mm

thickness of flange ring bF35,00 mm

thickness of wall eS10,00 mm

wall thickness at thick end of hub e218,00 mm

lenght of conical hub lH 32,00 mm

type of raised faces type F - recess

TEMESfl.cal

(Ver: 7.01) Page 2 print date: 20.05.2014

Page 3: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

code EN 1092-1 (2008)

nominal pressure / nominal size PN16/DN50

height of raised face f1 0,00 mm

depth of recess f3 3,00 mm

outer diameter raised face d1440,00 mm

outer diameter recess Y 366,00 mm

remarks on flange 2

boltstype of bolts screw

code EN ISO 4014

thread M20

pitch pt2,50 mm

nominal diameter dB020,00 mm

basic pitch diameter dB218,38 mm

effekive diameter dBe17,65 mm

number of bolts nB16 -

clamping length lb 102,00 mm

diameter internal bolt di0,00 mm

remarks on bolts

gasket

type of gasket Metal jacketed gasket with layersquantity of gaskets 2,00

inner diameter inner ring dG0323,00 mm

inner diameter gasket dG1323,00 mm

outer diameter gasket dG2363,00 mm

outer diameter centerring ring dG3363,00 mm

gasket thickness eG4,50 mm

rubber lining 0,00 mm

remarks on gasket

extension sleeveinner diameter di 22,00 mm

outer diameter da 44,00 mm

length h 29,00 mm

remarks on extension sleeve Into account the level of the tube plate by extension sleeves.

materials

material flangematerial name/number AF 42 (C22 1.0402)

code EN 10083-2 (1996-10)

form of manufacture Aciers pour trempe et revenu

austenitic no

cast no

assembly test cond. load cond.1 load cond.2

temperature TF120 20 206 210 °C

strength parameter Rp0,2T245 245 204 202 MPa

strength parameter Rp1,0TMPa

strength parameter RmT440 440 403 401 MPa

TEMESfl.cal

(Ver: 7.01) Page 3 print date: 20.05.2014

Page 4: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

modulus of elasticity EF206000 206000 189490 189150 MPa

thermal expansion coefficientF

1,11E-05 1,11E-05 1,21E-05 1,22E-05 K-1

minimum rupture elongation A 19 %

determination of nominal design stress according to EN 13445

nominal design stress fF 233,3 233,3 136,0 134,7 MPa

covering nominal design stress fE 233,3 233,3 136,0 134,7 MPa

remarks on flange 1

material of boltsmaterial name/number G41400 1Cr-1/5Mo (A193 B7)

code Section II/Part D (06/11)

form of manufacture Aciers pour éléments de fixation d ≤64 mm

austenitic no

cast no

assembly test cond. load cond.1 load cond.2

temperature TB20 20 206 210 °C

strength parameter Rp0,2T724 724 724 648 MPa

strength parameter Rp1,0TMPa

strength parameter RmT862 862 862 862 MPa

modulus of elasticity EB204000 204000 204000 195800 MPa

thermal expansion coefficientB

1,15E-05 1,15E-05 1,15E-05 1,25E-05 K-1

minimum rupture elongation A 14 %

determination of nominal design stress according to Rp0,2/SB

safety coefficient SB1,05 1,05 1,5 1,5 -

nominal design stress fB 689,5 689,5 482,7 432,0 MPa

remarks on bolts

material of extension sleevematerial name/number AF 42 (C22 1.0402)

code EN 10083-2 (1996-10)

form of manufacture Aciers pour trempe et revenu

austenitic no

cast no

assembly test cond. load cond.1 load cond.2

temperature TD20 20 206 210 °C

strength parameter Rp0,2T245 245 204 202 MPa

strength parameter Rp1,0TMPa

strength parameter RmT440 440 403 401 MPa

modulus of elasticity ED206000 206000 189490 189150 MPa

thermal expansion coefficientD

1,11E-05 1,11E-05 1,21E-05 1,22E-05 K-1

minimum rupture elongation A 19 %

determination of nominal design stress according to EN 13445

nominal design stress fD 233,3 233,3 136,0 134,7 MPa

remarks on extension sleeve Expansion sleeves material such as pipe plate.

gasket characteristicsgasket manufacturer LJC

gasket marking MPR® GASKET 'SP' PETRO 4,0mm

material Graphit

scope 40 bar - L 0.01

assembly test cond. load cond.1 load cond.2

temperature TG20 20 206 210 °C

TEMESfl.cal

(Ver: 7.01) Page 4 print date: 20.05.2014

Page 5: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

minimum gasket stress QSMIN86 15 15 15 MPa

max. gasket stress QSMAX300 300 300 300 MPa

modulus of elasticity EG1952 1952 2241 2248 MPa

creep relaxation factor PQR0,99 0,99 0,92 0,92 -

thermal expansion coefficientG

1,00E-05 1,00E-05 1,00E-05 1,00E-05 K-1

numerical constant of a gasket type c10,00 -

remarks on gasket characteristics

tightening device

nomenclature torque wrench = wrench with measuring of torque (only)

scatter of bolt force1+

0,160 -

scatter of bolt force1-

0,160 -

neglection of torsion moment no

number of re-assemblies NR1 -

thread friction coefficientt

0,120 -

friction factor connecting surfacen

0,120 -

remarks on tightening procedure

TEMESfl.cal

(Ver: 7.01) Page 5 print date: 20.05.2014

Page 6: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

calculation results

check of validity

flange 1ratio width/heigth of flange ok

uniformity of gasket stress not ok

flange 2ratio width/heigth of flange ok

uniformity of gasket stress not ok

effective gasket geometry

effective gasket diameter dGe343,00 mm

effective gasket width bGe20,00 mm

effective gasket area AGe21551,33 mm2

flexibilities

axial flexibility modulus of bolts XB2,92E-02 1/mm

rotational flexibility modulus of flange 1 ZF3,16E-05 1/mm3

rotational flexibility modulus of flange 2 ZF3,16E-05 1/mm3

axial flexibility modulus of gasket XG2,09E-04 1/mm

loadsassembly test cond. load cond.1 load cond.2

pressure force FQ0 407 166 240 kN

axial force (addition bending moment) FR+0 0 174 174 kN

axial force (subtraction bending moment) FR-0 0 174 174 kN

axial thermal expansion U 0,000 0,000 -0,008 0,010 mm

axial complianceassembly test cond. load cond.1 load cond.2

axial compliance related to

gasket force YG4,57E-07 4,57E-07 4,61E-07 4,67E-07 mm/N

pressure force YQ4,87E-07 4,87E-07 5,17E-07 5,23E-07 mm/N

resulting additional force YR4,36E-07 4,36E-07 4,62E-07 4,68E-07 mm/N

minimum forcesassembly test cond. load cond.1 load cond.2

minimum gasket force FGreq1843 323 323 323 kN

internal forces in assembly

minimum assembly gasket force FGdel875 kN

required gasket force FG0req1843 kN

required bolt force FB0req1842 kN

gasket force (several assemblies) FG0d875 kN

min. required assembly presetting

minimum assembly bolt force FB0min1217 kN

corresponding bolt elongation lmin0,140 mm

corresponding torque Mmin245 Nm

TEMESfl.cal

(Ver: 7.01) Page 6 print date: 20.05.2014

Page 7: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

max. allowable assembly presetting

max. allowable assembly bolt force FB0max2080 kN

max. allowable bolt elongation lmax0,239 mm

max. allowable torque Mmax419 Nm

definition of assembly bolt force

chosen assembly bolt force FB0nom1988 kN

corresponding bolt elongation lnom0,229 mm

corresponding torque Mnom400 Nm

internal forces in subsequent conditionassembly test cond. load cond.1 load cond.2

gasket force FG2127 433 454 323 kN

bolt force FB2127 840 794 738 kN

gasket stress Q 86 20 21 15 MPa

internal forces in subsequent conditions resulting from FB0nom (only informative)assembly test cond. load cond.1 load cond.2

gasket force FGmin1848 1397 1342 1199 kN

FGnom1988 1535 1468 1324 kN

FGmax2127 1672 1595 1449 kN

bolt force FBmin1848 1804 1682 1613 kN

FBnom1988 1941 1809 1739 kN

FBmax2127 2079 1936 1864 kN

gasket stress Qmin86,0 64,8 62,3 55,6 MPa

Qnom92 71 68 61 MPa

Qmax99 78 74 67 MPa

check of thightness criteriaassembly test cond. load cond.1 load cond.2

compliance of min. required gasket stress Qmin >Qsminok ok ok ok

check of admissibility of the load ratioassembly test cond. load cond.1 load cond.2

boltsallowable load ration

B all1,00 1,00 1,00 1,00

load ratioB

0,88 0,31 0,42 0,44

ok ok ok ok

flange 1allowable load ration

F all1,00 1,00 1,00 1,00

load ratioF

0,96 0,43 0,73 0,71

ok ok ok ok

flange 2allowable load ration

F all1,00 1,00 1,00 1,00

load ratioF

0,96 0,43 0,73 0,71

ok ok ok ok

gasketallowable load ration

G all1,00 1,00 1,00 1,00

TEMESfl.cal

(Ver: 7.01) Page 7 print date: 20.05.2014

Page 8: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

load ratioG

0,33 0,07 0,07 0,05

ok ok ok ok

flange rotation

flange 1 assembly test cond. load cond.1 load cond.2

min. flange rotationFmin

0,42 0,47 0,46 0,46 °

max. flange rotationFmax

0,49 0,54 0,53 0,52 °

flange 2 assembly test cond. load cond.1 load cond.2

min. flange rotationFmin

0,42 0,47 0,46 0,46 °

max. flange rotationFmax

0,49 0,54 0,53 0,52 °

TEMESfl.cal

(Ver: 7.01) Page 8 print date: 20.05.2014

Page 9: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

detailed calculation results

calculation parameters

flange parametersflange 1 flange 2

pitch between bolts pB78,15 78,15 mm

eff. diameter of bolt hole d5e11,67 11,67 mm

eff. bolt circle diameter d3e394,89 394,89 mm

cross-section area of flange ring AF2290,20 2290,20 mm2

cross-section area of loose flange ring AL0,00 0,00 mm2

eff. width of flange ring bF56,43 56,43 mm

eff. diameter of flange ring dF371,90 371,90 mm

eff. thickness of flange ring eF33,63 33,63 mm

equ. wall thickness for flexibility eE13,90 13,90 mm

intermediate variable 1,800 1,800 -

mean diameter shell dE317,70 317,70 mm

lever arm correction hP8,06 8,06 mm

lever arm hG25,95 25,95 mm

lever arm hH38,59 38,59 mm

lever arm hL0,00 0,00 mm

intermediate variable 0,288 0,288 -

intermediate variable 1,087 1,087 -

intermediate variable 0,000 0,000 -

correction factor cF0,191 0,191 -

lever arm correction hS12,29 12,29 mm

lever arm correction hT16,88 16,88 mm

lever arm correction hQ12,56 12,56 mm

lever arm correction hR-1,84 -1,84 mm

correction factor kQ0,850 0,850 -

correction factor kR-0,150 -0,150 -

rotational flexibility modulus of flange ZF3,16E-05 3,16E-05 1/mm3

rotational flexibility modulus of flange ZL0,00E+00 0,00E+00 1/mm3

bolt parameterseff. cross-section area AB

3916,70 mm2

axial flexibility modulus XB2,92E-02 1/mm

gasket parameterstheoretical gasket width bGt

20,00 mm

theoretical mean gasket diameter dGt343,00 mm

theoretical gasket area AGt21551,33 mm2

gasket force for calculation of width FG01987,61 kN

interim gasket width bGi20,00 mm

Effective gasket width bGe20,00 mm

Effective mean gasket diameter dGe343,00 mm

Effective gasket area AGe21551,33 mm2

axial flexibility modulus XG2,09E-04 1/mm

internal forces

loads assembly test cond. load cond.1 load cond.2

axial fluid-pressure force FQ0 407 166 240 kN

axial force (addition bending moment) FR+0 0 174 174 kN

TEMESfl.cal

(Ver: 7.01) Page 9 print date: 20.05.2014

Page 10: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

axial force (subtraction bending moment) FR-0 0 174 174 kN

differential axial expansion U 0,000 0,000 -0,008 0,010 mm

compliance of the joint assembly test cond. load cond.1 load cond.2

axial compliance related to FG YG4,57E-07 4,57E-07 4,61E-07 4,67E-07 mm/N

axial compliance related to FQ YQ4,87E-07 4,87E-07 5,17E-07 5,23E-07 mm/N

axial compliance related to FR YR4,36E-07 4,36E-07 4,62E-07 4,68E-07 mm/N

minimum forces necessary for the gasket assembly test cond. load cond.1 load cond.2

min. gasket force in assembly FG0min1842,64 kN

min. gasket force in sub. conditions FGImin323,27 323,27 323,27 kN

internal forces in assembly condition assembly test cond. load cond.1 load cond.2

min. gasket force for sub. Conditions FGdel874,90 kN

min. gasket force for all conditions FG0req1842,64 kN

min. bolt force for all conditions FB0req1842,33 kN

scatter for global load above nom. value e+0,070 -

scatter for global load above nom. value e-0,070 -

nominal bolt force FB0nom1217,00 kN

check of min. bolt force FB0req ok -

max. bolt force FB0max1302,19 kN

max. gasket force FG0max2080,00 kN

internal forces in subsequent condition assembly test cond. load cond.1 load cond.2

max. gasket force FG0d874,90 kN

accumulation of plastic deformation no -

checking the admissibility of the load ratio

general flange 1 flange 2

reduced max. allowable load ratio 1,00 1,00 -

intermediate variable 1,45 1,45 -

bolts assembly test cond. load cond.1 load cond.2

twisting moment applied to bolt shank Mt, B221,96 Nm

plastic torsion modulus IB 1440,57 mm3

bolt load ratioB

0,88 0,31 0,42 0,44 -

gasket assembly test cond. load cond.1 load cond.2

gasket load ratioG

0,33 0,07 0,07 0,05 -

flange 1 assembly test cond. load cond.1 load cond.2

equ. wall thickness for load limit eD16,56 mm

intermediate variableQ

0 0,180955 0,126989 0,185198 -

intermediate variableR

0 0 0,077425 0,078173 -

intermediate variable cM1,153256 1,135505 1,134236 1,122273 -

correction factor (jS=-1) cS0,785398 0,889574 0,823925 0,855154 -

correction factor (jS=1) cS0,785398 0,676392 0,73513 0,698369 -

intermediate variable jM 1 1 1 1 -

intermediate variable kM1 1 1 1 -

particular valueopt

1 1 1 1 -

particular value0

0 -0,053093 -0,037259 -0,054338 -

particular valuemax

0,425819 0,33902 0,371296 0,341766 -

particular valuemin

-0,425819 -0,502773 -0,469786 -0,492656 -

TEMESfl.cal

(Ver: 7.01) Page 10 print date: 20.05.2014

Page 11: flange #: plant: ID code: nomenclature: Flange calculation ... · nomenclature:-Flange calculation according to EN 1591-1 ... ID code:-nomenclature:-Flange calculation according to

LJC s.a.r.l. date: 14.05.20144 et 6, rue de Bièvre - BP 40046 calculated: -92163 ANTONY Cedex checked: -FRANCE revision: -

flange #: -

plant: -ID code: -

nomenclature: -

Flange calculation according to EN 1591-1:2001 + A1:2009

particular valueZ

0,425819 0,33902 0,371296 0,341766 -

resistance of flange WF5,75E+07 5,47E+07 3,24E+07 3,15E+07 Nmm

flange load ratioF

0,96 0,43 0,73 0,71 -

flange 2 assembly test cond. load cond.1 load cond.2

equ. wall thickness for load limit eD16,56 mm

intermediate variableQ

0 0,180955 0,126989 0,185198 -

intermediate variableR

0 0 0,077425 0,078173 -

intermediate variable cM1,153256 1,135505 1,134236 1,122273 -

correction factor (jS=-1) cS0,785398 0,889574 0,823925 0,855154 -

correction factor (jS=1) cS0,785398 0,676392 0,73513 0,698369 -

intermediate variable jM 1 1 1 1 -

intermediate variable kM1 1 1 1 -

particular valueopt

1 1 1 1 -

particular value0

0 -0,053093 -0,037259 -0,054338 -

particular valuemax

0,425819 0,33902 0,371296 0,341766 -

particular valuemin

-0,425819 -0,502773 -0,469786 -0,492656 -

particular valueZ

0,425819 0,33902 0,371296 0,341766 -

resistance of flange WF5,75E+07 5,47E+07 3,24E+07 3,15E+07 Nmm

flange load ratioF

0,96 0,43 0,73 0,71 -

TEMESfl.cal

(Ver: 7.01) Page 11 print date: 20.05.2014