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: max. allowable assembly presetting: 245 Nm 0,140 mm 1217 kn 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 (Ver: 7.01) Page 1 print date: 20.05.2014
input values loads 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 F A 0 0 174 174 kn external bending moment M A 0 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 1 type weld-neck flange hub conical hub code - minal pressure / minal size - blind hole outer diameter flange d 4 440,00 mm bolt circle diameter d 3 398,00 mm inner diameter flange d 0 303,80 mm diameter of bolt hole d 5 22,00 mm thickness of flange ring b F 35,00 mm thickness of wall e S 10,00 mm wall thickness at thick end of hub e 2 18,00 mm lenght of conical hub l H 32,00 mm type of raised faces type F - recess code DIN 2633 minal pressure / minal size PN16/DN50 height of raised face f 1 0,00 mm depth of recess f 3 3,00 mm outer diameter raised face d 1 440,00 mm outer diameter recess Y 366,00 mm remarks on flange 1 flange 2 type weld-neck flange hub conical hub code - minal pressure / minal size - blind hole outer diameter flange d 4 440,00 mm bolt circle diameter d 3 398,00 mm inner diameter flange d 0 303,80 mm diameter of bolt hole d 5 22,00 mm thickness of flange ring b F 35,00 mm thickness of wall e S 10,00 mm wall thickness at thick end of hub e 2 18,00 mm lenght of conical hub l H 32,00 mm type of raised faces type F - recess (Ver: 7.01) Page 2 print date: 20.05.2014
code EN 1092-1 (2008) minal pressure / minal size PN16/DN50 height of raised face f 1 0,00 mm depth of recess f 3 3,00 mm outer diameter raised face d 1 440,00 mm outer diameter recess Y 366,00 mm remarks on flange 2 bolts type of bolts screw code EN ISO 4014 thread M20 pitch p t 2,50 mm minal diameter d B0 20,00 mm basic pitch diameter d B2 18,38 mm effekive diameter d Be 17,65 mm number of bolts n B 16 - clamping length l b 102,00 mm diameter internal bolt d i 0,00 mm remarks on bolts gasket type of gasket Metal jacketed gasket with layers quantity of gaskets 2,00 inner diameter inner ring d G0 323,00 mm inner diameter gasket d G1 323,00 mm outer diameter gasket d G2 363,00 mm outer diameter centerring ring d G3 363,00 mm gasket thickness e G 4,50 mm rubber lining 0,00 mm remarks on gasket extension sleeve inner 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 flange material name/number AF 42 (C221.0402) code EN 10083-2 (1996-10) form of manufacture Aciers pour trempe et revenu austenitic cast temperature T F1 20 20 206 210 C strength parameter R p0,2t 245 245 204 202 MPa strength parameter R p1,0t MPa strength parameter R mt 440 440 403 401 MPa (Ver: 7.01) Page 3 print date: 20.05.2014
modulus of elasticity E F 206000 206000 189490 189150 MPa thermal expansion coefficient 1,11E-05 1,11E-05 1,21E-05 1,22E-05 F K -1 minimum rupture elongation A 19 % determination of minal design stress according to EN 13445 minal design stress f F 233,3 233,3 136,0 134,7 MPa covering minal design stress f E 233,3 233,3 136,0 134,7 MPa remarks on flange 1 material of bolts material 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 cast temperature T B 20 20 206 210 C strength parameter R p0,2t 724 724 724 648 MPa strength parameter R p1,0t MPa strength parameter R mt 862 862 862 862 MPa modulus of elasticity E B 204000 204000 204000 195800 MPa thermal expansion coefficient 1,15E-05 1,15E-05 1,15E-05 1,25E-05 B K -1 minimum rupture elongation A 14 % determination of minal design stress according to Rp0,2/SB safety coefficient S B 1,05 1,05 1,5 1,5 - minal design stress f B 689,5 689,5 482,7 432,0 MPa remarks on bolts material of extension sleeve material name/number AF 42 (C221.0402) code EN 10083-2 (1996-10) form of manufacture Aciers pour trempe et revenu austenitic cast temperature T D 20 20 206 210 C strength parameter R p0,2t 245 245 204 202 MPa strength parameter R p1,0t MPa strength parameter R mt 440 440 403 401 MPa modulus of elasticity E D 206000 206000 189490 189150 MPa thermal expansion coefficient 1,11E-05 1,11E-05 1,21E-05 1,22E-05 D K -1 minimum rupture elongation A 19 % determination of minal design stress according to EN 13445 minal design stress f D 233,3 233,3 136,0 134,7 MPa remarks on extension sleeve Expansion sleeves material such as pipe plate. gasket characteristics gasket manufacturer LJC gasket marking MPR GASKET 'SP' PETRO 4,0mm material Graphit scope 40 bar - L 0.01 temperature T G 20 20 206 210 C (Ver: 7.01) Page 4 print date: 20.05.2014
minimum gasket stress Q SMIN 86 15 15 15 MPa max. gasket stress Q SMAX 300 300 300 300 MPa modulus of elasticity E G 1952 1952 2241 2248 MPa creep relaxation factor P QR 0,99 0,99 0,92 0,92 - thermal expansion coefficient 1,00E-05 1,00E-05 1,00E-05 1,00E-05 G K -1 numerical constant of a gasket type c 1 0,00 - remarks on gasket characteristics tightening device menclature torque wrench = wrench with measuring of torque (only) scatter of bolt force 0,160-1+ scatter of bolt force 0,160-1- neglection of torsion moment number of re-assemblies N R 1 - thread friction coefficient 0,120 - t friction factor connecting surface 0,120 - n remarks on tightening procedure (Ver: 7.01) Page 5 print date: 20.05.2014
calculation results check of validity flange 1 ratio width/heigth of flange uniformity of gasket stress flange 2 ratio width/heigth of flange uniformity of gasket stress ok t ok ok t ok effective gasket geometry effective gasket diameter d Ge 343,00 mm effective gasket width b Ge 20,00 mm effective gasket area A Ge 21551,33 mm 2 flexibilities axial flexibility modulus of bolts X B 2,92E-02 1/mm rotational flexibility modulus of flange 1 Z F 3,16E-05 1/mm 3 rotational flexibility modulus of flange 2 Z F 3,16E-05 1/mm 3 axial flexibility modulus of gasket X G 2,09E-04 1/mm loads pressure force F Q 0 407 166 240 kn axial force (addition bending moment) F R+ 0 0 174 174 kn axial force (subtraction bending moment) F R- 0 0 174 174 kn axial thermal expansion U 0,000 0,000-0,008 0,010 mm axial compliance axial compliance related to gasket force Y G 4,57E-07 4,57E-07 4,61E-07 4,67E-07 mm/n pressure force Y Q 4,87E-07 4,87E-07 5,17E-07 5,23E-07 mm/n resulting additional force Y R 4,36E-07 4,36E-07 4,62E-07 4,68E-07 mm/n minimum forces minimum gasket force F Greq 1843 323 323 323 kn internal forces in assembly minimum assembly gasket force F Gdel 875 kn required gasket force F G0req 1843 kn required bolt force F B0req 1842 kn gasket force (several assemblies) F G0d 875 kn min. required assembly presetting minimum assembly bolt force F B0min 1217 kn corresponding bolt elongation l min 0,140 mm corresponding torque M min 245 Nm (Ver: 7.01) Page 6 print date: 20.05.2014
max. allowable assembly presetting max. allowable assembly bolt force F B0max 2080 kn max. allowable bolt elongation l max 0,239 mm max. allowable torque M max 419 Nm definition of assembly bolt force chosen assembly bolt force F B0m 1988 kn corresponding bolt elongation l m 0,229 mm corresponding torque M m 400 Nm internal forces in subsequent condition gasket force F G 2127 433 454 323 kn bolt force F B 2127 840 794 738 kn gasket stress Q 86 20 21 15 MPa internal forces in subsequent conditions resulting from FB0m (only informative) gasket force F Gmin 1848 1397 1342 1199 kn F Gm 1988 1535 1468 1324 kn F Gmax 2127 1672 1595 1449 kn bolt force F Bmin 1848 1804 1682 1613 kn F Bm 1988 1941 1809 1739 kn F Bmax 2127 2079 1936 1864 kn gasket stress Q min 86,0 64,8 62,3 55,6 MPa Q m 92 71 68 61 MPa Q max 99 78 74 67 MPa check of thightness criteria compliance of min. required gasket stress Q min >Q smin ok ok ok ok check of admissibility of the load ratio bolts allowable load ration load ratio flange 1 allowable load ration load ratio flange 2 allowable load ration load ratio gasket allowable load ration B all B F all F F all F G all 1,00 1,00 1,00 1,00 0,88 0,31 0,42 0,44 ok ok ok ok 1,00 1,00 1,00 1,00 0,96 0,43 0,73 0,71 ok ok ok ok 1,00 1,00 1,00 1,00 0,96 0,43 0,73 0,71 ok ok ok ok 1,00 1,00 1,00 1,00 (Ver: 7.01) Page 7 print date: 20.05.2014
load ratio flange rotation flange 1 min. flange rotation max. flange rotation flange 2 min. flange rotation max. flange rotation G Fmin Fmax Fmin Fmax 0,33 0,07 0,07 0,05 ok ok ok ok 0,42 0,47 0,46 0,46 0,49 0,54 0,53 0,52 0,42 0,47 0,46 0,46 0,49 0,54 0,53 0,52 (Ver: 7.01) Page 8 print date: 20.05.2014
detailed calculation results calculation parameters flange parameters flange 1 flange 2 pitch between bolts p B 78,15 78,15 mm eff. diameter of bolt hole d 5e 11,67 11,67 mm eff. bolt circle diameter d 3e 394,89 394,89 mm cross-section area of flange ring A F 2290,20 2290,20 mm 2 cross-section area of loose flange ring A L 0,00 0,00 mm 2 eff. width of flange ring b F 56,43 56,43 mm eff. diameter of flange ring d F 371,90 371,90 mm eff. thickness of flange ring e F 33,63 33,63 mm equ. wall thickness for flexibility e E 13,90 13,90 mm intermediate variable 1,800 1,800 - mean diameter shell d E 317,70 317,70 mm lever arm correction h P 8,06 8,06 mm lever arm h G 25,95 25,95 mm lever arm h H 38,59 38,59 mm lever arm h L 0,00 0,00 mm intermediate variable 0,288 0,288 - intermediate variable 1,087 1,087 - intermediate variable 0,000 0,000 - correction factor c F 0,191 0,191 - lever arm correction h S 12,29 12,29 mm lever arm correction h T 16,88 16,88 mm lever arm correction h Q 12,56 12,56 mm lever arm correction h R -1,84-1,84 mm correction factor k Q 0,850 0,850 - correction factor k R -0,150-0,150 - rotational flexibility modulus of flange Z F 3,16E-05 3,16E-05 1/mm 3 rotational flexibility modulus of flange Z L 0,00E+00 0,00E+00 1/mm 3 bolt parameters eff. cross-section area A B 3916,70 mm 2 axial flexibility modulus X B 2,92E-02 1/mm gasket parameters theoretical gasket width b Gt 20,00 mm theoretical mean gasket diameter d Gt 343,00 mm theoretical gasket area A Gt 21551,33 mm 2 gasket force for calculation of width F G0 1987,61 kn interim gasket width b Gi 20,00 mm Effective gasket width b Ge 20,00 mm Effective mean gasket diameter d Ge 343,00 mm Effective gasket area A Ge 21551,33 mm 2 axial flexibility modulus X G 2,09E-04 1/mm internal forces loads axial fluid-pressure force F Q 0 407 166 240 kn axial force (addition bending moment) F R+ 0 0 174 174 kn (Ver: 7.01) Page 9 print date: 20.05.2014
axial force (subtraction bending moment) F R- 0 0 174 174 kn differential axial expansion U 0,000 0,000-0,008 0,010 mm compliance of the joint axial compliance related to FG Y G 4,57E-07 4,57E-07 4,61E-07 4,67E-07 mm/n axial compliance related to FQ Y Q 4,87E-07 4,87E-07 5,17E-07 5,23E-07 mm/n axial compliance related to FR Y R 4,36E-07 4,36E-07 4,62E-07 4,68E-07 mm/n minimum forces necessary for the gasket min. gasket force in assembly F G0min 1842,64 kn min. gasket force in sub. conditions F GImin 323,27 323,27 323,27 kn internal forces in assembly condition min. gasket force for sub. Conditions F Gdel 874,90 kn min. gasket force for all conditions F G0req 1842,64 kn min. bolt force for all conditions F B0req 1842,33 kn scatter for global load above m. value e + 0,070 - scatter for global load above m. value e - 0,070 - minal bolt force F B0m 1217,00 kn check of min. bolt force FB0req ok - max. bolt force F B0max 1302,19 kn max. gasket force F G0max 2080,00 kn internal forces in subsequent condition max. gasket force F G0d 874,90 kn accumulation of plastic deformation - 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 twisting moment applied to bolt shank M t, B 221,96 Nm plastic torsion modulus I B 1440,57 mm 3 bolt load ratio 0,88 0,31 0,42 0,44 - gasket gasket load ratio B G 0,33 0,07 0,07 0,05 - flange 1 equ. wall thickness for load limit e D 16,56 mm intermediate variable 0 0,180955 0,126989 0,185198 - Q intermediate variable 0 0 0,077425 0,078173 - R intermediate variable c M 1,153256 1,135505 1,134236 1,122273 - correction factor (js=-1) c S 0,785398 0,889574 0,823925 0,855154 - correction factor (js=1) c S 0,785398 0,676392 0,73513 0,698369 - intermediate variable j M intermediate variable k M opt 0-0,053093-0,037259-0,054338-0 0,425819 0,33902 0,371296 0,341766 - max -0,425819-0,502773-0,469786-0,492656 - min (Ver: 7.01) Page 10 print date: 20.05.2014
0,425819 0,33902 0,371296 0,341766 - Z resistance of flange W F 5,75E+07 5,47E+07 3,24E+07 3,15E+07 Nmm flange load ratio 0,96 0,43 0,73 0,71 - F flange 2 equ. wall thickness for load limit e D 16,56 mm intermediate variable 0 0,180955 0,126989 0,185198 - Q intermediate variable 0 0 0,077425 0,078173 - R intermediate variable c M 1,153256 1,135505 1,134236 1,122273 - correction factor (js=-1) c S 0,785398 0,889574 0,823925 0,855154 - correction factor (js=1) c S 0,785398 0,676392 0,73513 0,698369 - intermediate variable j M intermediate variable k M opt 0-0,053093-0,037259-0,054338-0 0,425819 0,33902 0,371296 0,341766 - max -0,425819-0,502773-0,469786-0,492656 - min 0,425819 0,33902 0,371296 0,341766 - Z resistance of flange W F 5,75E+07 5,47E+07 3,24E+07 3,15E+07 Nmm flange load ratio 0,96 0,43 0,73 0,71 - F (Ver: 7.01) Page 11 print date: 20.05.2014