ASME Boiler & Pressure Vessel Code Analysis of the Ampere-Class Cryomodule

Transcription

1 JLB-TN SME Biler & Pressure Vessel Cde nalysis f he mpere-class Crymdule 1.0 Inrducin Kaherine Wilsn 6 Ocber 005 T minimize he hazards assciaed wih vacuum and pressure vessels, secin 6151 in he JLab EH&S manual requires dcumenain f all pressure and vacuum vessel s. ppendix 6151-T1, Vessel Design Dcumenain, prvides deail. Required dcumenain fr he f he mpere-class Crymdule helium vessel fllws. The helium vessel was analyzed using he 001 ediin f he SME Biler and Pressure Vessel Cde (BPVC), Secin VIII, Divisin Design The mpere-class Crymdule helium vessel is ed wih six inegral waveguides and a bellws; hese are negleced in he analysis and nly he vessel iself is cnsidered. The lengh f he shell is aken frm ne end he her, which is crrec fr cnical heads and cnservaive fr dished heads. The maximum inernal pressure f 5 am is deermined by runding up frm he pressure which he burs disks are se; he helium vessel wuld nly experience his much pressure in case f a lss f beamline vacuum. The maximum exernal pressure f 3 am was based n he greaes pressure ha he helium vessel culd experience in case f a lss f insulaing vacuum. The end sub and ransiin were n cnsidered in his analysis as he BPVC des n prvide guidance fr nibium r nibium-ianium. 1. ssumpins The fllwing assumpins were made fr he purpses f his analysis. a. I was assumed ha Grade ianium (UNS R50400) wuld be used fr he helium vessel. I is accepable use a differen grade f ianium (ms likely Grade 3, UNS R50550), as lng as he ensile and yield srenghs exceed hse used in his analysis fr Grade ianium. b. The emperaure is assumed be 70º F. Secin UG-0 f he BPVC saes ha he maximum emperaure used in shall n be less han he mean meal emperaure (hrugh he hickness) expeced under perain cndiins fr he par, and he minimum meal emperaure used in shall be he lwes expeced in service. Hwever, as cmplee BPVC daa is n able dwn he peraing emperaure f K, i is n pssible fr he lwes expeced perainal emperaure. In addiin, since mdulus and Page 1 f 16

2 JLB-TN maximum allwable sress increase as emperaure decreases, using a higher emperaure shuld be cnservaive. c. The minimum jin efficiency given in he cde, 0.45, was used hrughu his analysis be cnservaive. jin wih a higher efficiency wuld, f curse, be an accepable subsiue. The efficiency f varius weld jins, per Table UW-1 (p ), assuming n radigraphic examinain, is as fllws: Type f Jin Efficiency Duble-welded bu jins 0.70 Single welded bu jins wih backing srip 0.65 Single welded bu jins wihu backing srip 0.60 Duble full fille lap jin 0.55 Single full fille lap jin wih plug welds 0.50 Single full fille lap jin wihu plug welds 0.45 Crner jins r angle jins N Every weld n he helium vessel mus herefre be a bu jin r a full fille lap jin, as described in he able abve, in rder fr he helium vessel mee he requiremens f he BPVC. d. I is assumed ha he helium supply and reurn nzzles are grade ianium alng heir enire lenghs. 1.3 Specificains and Dimensins The fllwing specificains and dimensins were used in he analysis. Inernal Pressure am (73.5 psi) Exernal Pressure... 3 am (44.1 psi) Maerial.... Grade Tianium Tal lengh inches Ouside Diameer inches Shell Thickness inches Head Thickness inches Weld Cnsrucin... Elecrn Beam, TIG; jin ype as described in 1..c abve Shell Gemery Cylindrical Head Gemery Hemispherical head wih 8.4 in radius Design Temperaure... 70F (300 K) Page f 16

3 JLB-TN Cde nalysis.1 UG-3 Maximum llwable Sress s This secin f he cde gives he maximum uni sress allwed in a given maerial in he pressure vessel. cual hickness f shell 0.5 in r Ouside radius f cylindrical shell 8.44 in The cde saes ha he maximum allwable ensile sress value permied in a given maerial used in a vessel cnsruced under he rules f he BPVC shall be he smaller f he values calculaed by mehds (1) and (), as shwn belw. (1) Frm able 1B (Secin II, par D, page 46) he maximum allwable sress fr he emperaure is given as 1.1 ksi. This is he maximum allwable sress fr Grade welded pipe a º F. The maximum allwable sresses fr her frms f Grade and Grade 3 ianium are higher; herefre, his is cnservaive. () Fr he helium vessel: ( r ) ( 0.5) Using Fig. NFT- (Secin II, par D, page 716.1) and inerplaing, he facr B is fund be abu 17 ksi. Likewise, fr he helium inle nzzle, is 0.00 and B is 19.5 ksi; fr he helium reurn nzzle, is and B is 18 ksi. Therefre he value fr maximum allwable sress (S) be used in his will be 1.1 ksi, as fund in (1) abve.. UG-7 Thickness f Shells Under Inernal Pressure This secin gives he minimum required hickness f he shell,, under inernal pressure. Fr he helium vessel: cual hickness f shell 0.5 in Minimum required hickness R Inside radius 8.19 in P Inernal pressure 73.5 psi P Maximum allwable inernal pressure S Maximum allwable sress value 1.1 ksi Page 3 f 16

4 JLB-TN E Jin efficiency f apprpriae jin 0.45 (c.1) Circumferenial sress P R S E 0.6 P S E P R psi 8.19in 1100 psi psi 1100 psi in 163psi 8.19in in 0.111in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) is larger han he acual pressure. Therefre, he f he vessel mees he BPVC requiremens fr circumferenial sress. (c.) Lngiudinal sress P R S E P S E P R psi 8.19in 1100 psi psi 1100 psi in 337 psi 8.19in in.055in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) is larger han he acual pressure. Therefre, he f he vessel mees he BPVC requiremens fr lngiudinal sress. Fr he helium inle nzzle: cual hickness f shell in Minimum required hickness R Inside radius 0.44 in P Inernal pressure 73.5 psi P Maximum allwable inernal pressure S Maximum allwable sress value 1.1 ksi E Jin efficiency f apprpriae jin 0.45 (c.1) Circumferenial sress Page 4 f 16

5 JLB-TN P R S E 0.6 P S E P R psi 0.44in 0.006in 1100 psi psi 1100 psi in 919 psi 0.44in in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) is larger han he acual pressure. Therefre, he f he helium inle nzzle mees he BPVC requiremens fr circumferenial sress. (c.) Lngiudinal sress P R 73.5psi 0.44in.003in S E P 1100 psi psi S E 1100 psi in P 11psi R in in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) is larger han he acual pressure. Therefre, he f he helium inle nzzle mees he BPVC requiremens fr lngiudinal sress. Fr he helium reurn nzzle: cual hickness f shell in Minimum required hickness R Inside radius.78 in P Inernal pressure 73.5 psi P Maximum allwable inernal pressure S Maximum allwable sress value 1.1 ksi E Jin efficiency f apprpriae jin 0.45 (c.1) Circumferenial sress P R S E 0.6 P S E P R psi.78in in 1100 psi psi 1100 psi in 55psi.78in in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) Page 5 f 16

6 JLB-TN is larger han he acual pressure. Therefre, he f he helium reurn nzzle mees he BPVC requiremens fr circumferenial sress. (c.) Lngiudinal sress P R S E P S E P R psi.78in 1100 psi psi 1100 psi in 535psi.78in in.0019in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) is larger han he acual pressure. Therefre, he f he helium reurn nzzle mees he BPVC requiremens fr lngiudinal sress..3 UG-8 Thickness f Shells and Tubes Under Exernal Pressure This secin regulaes he f cylindrical shells and ubes under exernal pressure, wih r wihu siffening rings, ubes and spherical shells. These equains require ieraing based n an assumed value f. Fr he helium vessel: D Ouside diameer f cylindrical shell in L Tal lengh f shell 51.3 in P Exernal pressure 44.1 psi P Calculaed value f maximum allwable exernal pressure cual hickness f shell 0.5 in Minimum required hickness f cylindrical shell Page 6 f 16

7 JLB-TN (c)(1) L D D 16.87in in.0007 B 5750 P 3 L D P in in 4B ( D ) 3( 16.87in 0.5in) Minimum allwable hickness : 51.3in in D 16.87in in.0004 B B ( D ) 3( 16.87in 0.17in) psi 46.7 psi Based n he assumpin f a 0.5-inch hick shell, P is greaer han he exernal pressure. Therefre, he hickness f he vessel is accepable. fer several ierains, he minimum allwable hickness f he shell was deermined be apprximaely 0.17 inches. Fr he helium inle nzzle: D Ouside diameer f cylindrical shell in L Tal lengh f shell 3.04 in P Exernal pressure 44.1 psi P Calculaed value f maximum allwable exernal pressure cual hickness f shell in Minimum required hickness f cylindrical shell The al lengh f he shell (nzzle) was assumed be he maximum lengh frm he helium vessel he supply header. Page 7 f 16

8 JLB-TN (c)(1) L D D 1.050in in.015 B 19,500 P 3 L D P in in 4B ( D ) 3( 1.050in 0.083in) Minimum allwable hickness : 3.04in in D 1.050in in.0004 B B ( D ) 3( 1.050in 0.01in) 4 19, psi 46.7 psi Based n he assumpin f a inch hick pipe, P is significanly greaer han he exernal pressure. Therefre, he hickness f he vessel is accepable. The minimum allwable hickness f he pipe was deermined be apprximaely 0.01 inches. Fr he helium reurn nzzle: D Ouside diameer f cylindrical shell in L Tal lengh f shell.034 in P Exernal pressure 44.1 psi P Calculaed value f maximum allwable exernal pressure cual hickness f shell in Minimum required hickness f cylindrical shell The al lengh f he shell (pipe) was assumed be he maximum lengh frm he helium vessel he reurn header. Page 8 f 16

9 JLB-TN (c)(1) The values shwn belw are apprximae. The L/D rai is runcaed a 1.0 n his char. The lines fr he L/D and D / rais were exended linearly allw be deermined fr L/D rais belw his value. llwable sresses and hicknesses were acually calculaed fr a L/D rai f 0.5 raher han he crrec value f allw fr any errr in exending he lines. This is cnservaive; fr a given value f D /, increases as L/D decreases, and B increases as increases. Therefre, a lwer L/D rai resuls in a higher allwed sress and pressure. L D D 5.563in in 0.08 B 0,000 P 3 L D P 3.034in in 4B ( D ) 3( 5.563in 0.134in) Minimum allwable hickness :.034in in D 5.563in in B B ( D ) 3( 5.563in 0.053in) 4 0, psi 4.4 psi Based n he assumpin f a inch hick pipe, P is greaer han he exernal pressure. Therefre, he hickness f he vessel is accepable. The minimum allwable hickness f he pipe was deermined be apprximaely inches..4 UG-3 Frmed Heads, and Secins, Pressure n Cncave Side This secin gives he minimum required hickness a he hinnes pin afer frming f heads under pressure n he cncave side. Page 9 f 16

10 JLB-TN cual hickness f shell 0.5 in Minimum required hickness f head afer frming P Inernal pressure 73.5 psi P Calculaed value f maximum allwable inernal pressure S Maximum allwable sress value in ensin 1.1 ksi E Lwes efficiency f any jin in he head 0.45 L Spherical radius 8.4 in (f) hemispherical < L 8.4 P < S E he fllwing equains are valid. P L S E 0. P S E P L psi 8.4in 1100 psi psi 1100 psi in 96 psi 8.4in in.191in The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable inernal pressure (P) is larger han he acual pressure. Therefre, he f he hemispherical secin f he head mees he requiremens fr pressure n he cncave side (inernal pressure)..5 UG-33 Frmed Heads, Pressure n Cnvex Side This secin gives he minimum required hickness a he hinnes pin afer frming f heads under pressure n he cnvex side. R Ouside radius f cylindrical shell 8.44 in P Exernal pressure 44.1 psi P Calculaed value f maximum allwable exernal pressure cual hickness f shell 0.5 in Minimum required hickness f cylindrical shell Page 10 f 16

11 JLB-TN Per paragraph (g), when here is a lap jin in a spherical shell (r hemispherical head) under exernal pressure, he hickness f he shell shall be deermined using P insead f P. (c) Hemispherical heads Wih hickness f 0.5 in : 0.15 ( R / B 17,000 P R B ) 0.15 (8.44 / 0.5) 17, / psi Minimum allwable hickness (assuming a maximum allwable pressure f P, r 88. psi) : 0.15 ( R / ) B 9000 P B R 0.15 (8.44 / 0.08) / psi The calculaed value fr he minimum required hickness () is smaller han he acual hickness value, and he calculaed value fr he maximum allwable pressure (P) is larger han he acual pressure. The minimum allwable hickness f he head was deermined be apprximaely 0.08 in. Therefre, he f he helium reurn nzzle mees he BPVC requiremens..7 UG-37: Reinfrcemen Required fr Openings in Shells and Frmed Heads This secin deermines wheher addiinal reinfrcemens are required fr he nzzle aachmens which are welded he pressure vessel. Fr he helium inle nzzle: Tal crss-secinal area f reinfrcemen required in he plane under cnsiderain Tal area able fr reinfrcemen wih n reinfrcing elemen d Finished diameer f circular pening in Specified vessel wall hickness 0.5 in r Required hickness f seamless shell fr pressure 0.17 in, fr exernal pressure Page 11 f 16

12 JLB-TN n Nzzle wall hickness in rn Required hickness f seamless nzzle wall 0.01 in, fr exernal pressure f r1 Srengh reducin facr S n /S v 1.0 f r S n /S v 1.0 F Crrecin facr 1.0 E 1 Weld facr 1.0 S n llwable sress in nzzle 1.1 ksi S v llwable sress in vessel 1.1 ksi (c) pressure vessel which is subjec eiher inernal pressure r bh inernal and exernal pressure mus mee he requiremens given by he equains belw (Fig. UG- 37.1, page 47). mus be greaer han. Page 1 f 16

13 JLB-TN d r F n r F (1 f r1 ) (1 1) in 1 larger f : d( E1 Fr) n( E1 Fr)( ( ) 0.083( )(1 1.0) 0.084in r ( + n)( E1 Fr) n( E1 Fr)(1 f ) r1 f ) r1 ( )( ) 0.083( )(1 1.0) 0.053in smaller f : 5( n r 5( n rn rn ) f ) f r 5( ) in r n 5( ) in > NO dd reinfrcemen nzzle : smaller f : 5( n r ( n rn rn ) f r 5( ) in )(.5n + e) fr in > NO ( ) ( ) in The helium inle nzzle is n adequaely reinfrced as-is. Page 13 f 16

14 JLB-TN Fr he helium reurn nzzle: Tal crss-secinal area f reinfrcemen required in he plane under cnsiderain Tal area able fr reinfrcemen wih n reinfrcing elemen d Finished diameer f circular pening 5.95 in Specified vessel wall hickness 0.5 in r Required hickness f seamless shell fr pressure 0.17 in, fr exernal pressure n Nzzle wall hickness in rn Required hickness f seamless nzzle wall in, fr exernal pressure f r1 Srengh reducin facr S n /S v 1.0 f r S n /S v 1.0 F Crrecin facr 1.0 E 1 Weld facr 1.0 S n llwable sress in nzzle 1.1 ksi S v llwable sress in vessel 1.1 ksi (c) pressure vessel which is subjec eiher inernal pressure r bh inernal and exernal pressure mus mee he requiremens given by he equains belw (Fig. UG- 37.1, page 47). mus be greaer han. Page 14 f 16

15 JLB-TN d 1 r F larger f : d( E1 Fr) n( E1 Fr)(1 5.95( ) 0.134( )(1 1.0) 0.44in r ( + n)( E1 Fr) n( E1 Fr)(1 n 41 r F (1 f r1 f ) 5.95 ) r1 f ) r (1 1) 0.900in ( )( ) 0.134( )(1 1.0) in smaller f : 5( n r rn 5( n rn ) f ) f r 5( ) in r n 5( ) in 41 ( leg) in in > NO dd reinfrcemen nzzle : smaller f : 5( n r ( n rn rn ) f r )(.5n + e) fr in > NO 5( ) in ( ) ( ) in In rder be adequaely reinfrced, he helium reurn nzzle requires bh gusses and addiinal welding (a fille weld arund he pipe a he inersecin beween he pipe and he OD f he helium vessel). Page 15 f 16

16 JLB-TN Cnclusin The abve analysis verifies ha he mpere-class Crymdule helium vessel mees he requiremens f he BPVC. 4.0 References Hicks, W. R., Renascence Crymdule Helium Vessel Design Dcumenain. Hgan, J., 1998 Crymdule Helium Vessel Design Crieria and Calculains, JLB-TN Page 16 f 16