Md He Tema Asme v0.1

8/9/2019 Md He Tema Asme v0.1

1/31

Program User Guide :

Doc. No. PUG - MDHE - 100

Date 2005. 8. 15.

Revision 0 1

1. Introduction Sheet No. 1 of 1

2. References

The po!a" is #ase$ on the fo%%o&in!' &hich sha%% #e efee$ to fo f(the (n$estan$in!.

Design TEM)' 8th E$.' 1***

)SME Sec. +,,,' Div. 1

Materials )SME Sec. ,, - D

Technicals

Pocess +esse% Desi!n Man(a%' Dennis R. MossDesi!n of Pocess E(ip"ent' $ E$.' /. /. Mahaan

ata%o!(es fo %an!es

3. Future Deelo!ment

Descri!tion Date "ersion Remar#s

Pipe She%% 05. 8. 15. 0.1

No33%e 05. 8. 15. 0.1

Sa$$%e

No33%e E4tena% oa$

The"a% Stess a%c(%ation

She%% E4pansion 6oint%oatin! Hea$

$. Program %rchitecture

Inside the Program

,np(t an$ S(""a7 Sheet

a%c(%ation Sheet fo &hell

a%c(%ation Sheet fo 'hannel

a%c(%ation Sheet fo &hell (...

a%c(%ation Sheet fo 'hannel (...

a%c(%ation Sheet fo 'oer

a%c(%ation Sheet fo Tu)esheet

a%c(%ation Sheet fo &hell Flangea%c(%ation Sheet fo 'hannel Flange

Data Files

Mateia% ,n$e4' %an!e Data' Mo$(%(s of E%asticit7' ...

*. General Information

NTES Naai The"a% En!ineein! Sevices

Mechanical Design of + , - in acc. ith T-M% / %&M-

This !(i$e is inten$e$ to o(t%ine a po!a" fo "echnica% $esi!n of heat e0changers in acco$ance &ith

T-M% an$ %&M-.

6,S 9 82: - 1*81' 압력용기의 구조

프로세스기기구조설계시리즈 6, "열교환기 "

; I& ;

; shell ;

; channel ;

; s(... ;

; c(... ;

; c ;

; ts ;

; s.flg ;; c.flg ;

; materials %&TM ; Stess +a%(es of %&TM < %&M- "ateia%s

; materials common "

; materials I& ; Stess +a%(es of I& "ateia%s

; materials & ; Stess +a%(es of & "ateia%s

Data ae inp(te$ via ce%%s &ith )lue &o$s < n("#es an$ co"#o#o4es.

)ttention sha%% #e pai$ to ce%%s &ith red &o$s < n("#es.

각 Sheet 의하단에나타나는회사명을바꾸!"#에$는 ' 회사명을바꾸기(하!)*.


2/31

Design otes :

Mechanical Design of + , - in acc. ith T-M% / %&M-

Doc. No. DN - MDHE - 100

Date 2005. . 1=.

Revision 0

1. Introduction Sheet No. 1 of 1

These notes ae inten$e$ to he%p $esi!nes fo%%o& no"a% $esi!n pactices' an$ f(the each an opti"("

$esi!n.

2. otes

Flange

The poce$(es ae fo" Ta7%o o!e 9(%%etin No. 502' =th E$.' ; Mo$en %an!e Desi!n ;.

,n !enea%' #o%ts sho(%$ #e (se$ in "(%tip%es of fo(>:?.

o %a!e $ia"ete f%an!es' "an7 s"a%%e #o%ts on a ti!ht #o%t cic%e ae eco""en$e$ to e$(ce the f%an!e

thic@ness.



3/31

o) o. & 4 51 Item o. +- 4 51

Pro6ect &am!le &erice +eat -0changer

D - & I G D % T %

o$e < Stan$a$ TEM) 7R7 < )SME Sec. +,,, Div. 1

T7pe Desi!nation % - &

&hell &ide Tu)e &ide Desi!n Pess. @!


4/31

Doc. No. MD - P+ - 00

+ - % T - A ' + % G - R

M - ' + % I ' % ? D - & I G

o) o. & 4 51

Pro6ect &am!le

'lient -nd User ame

'ontractor -ngineering 'om!an8 ame

Item o. +- 4 51

&erice +eat -0changer

5

:

2

1

0 05. 8. 15. ,ss(e$ fo appova%. S. 6. ee S6

Rev. Date Desciption Pepae$ Revie&e$ )pp

arai Thermal -ngineering &erices

1500-11' Son!(n! Don!' /an!seo G(' 9(san' /oea' C18-2=0 Te%. 82 -51 -82 -1=

Ho"epa!e a4. 82 -51 -82 -1=

E-"ai%

NTES Naai The"a% En!ineein! Se

&&&. an o e.co. $esi!nhani%#oi%e.co.@

http://www.hanilboiler.co.kr/mailto:[email protected]:[email protected]://www.hanilboiler.co.kr/


5/31

e

ove$

5A8

*

vices


6/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Date 05. 8. 15.

Rev. 0

Sheet No. 1 of 1

T a ) l e of ' o n t e n t s

1. Design Data and &ummar8

2. &hell

3.

$.

*.

B.

C.

.

E.

15.



7/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G

Date 05. 8. 15.

1 Revision 0

2 Sheet No. 1 of 4

: Poect &am!le

5 ,te" No. +- 4 51

C Sevice +eat -0changer =

8D - & I G D % T %

*

10 Stan$a$ T-M% %ass 7R7 T7pe % - &

11 o$e %&M- &ec. "III Di. 1

12 & + - ? ? & I D - T U - & I D -

1 Desi!n

Pess(e 10 @!


8/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G

Poect &am!le Doc. No. MD - HE - 100

,te" No. +- 4 51 Sheet No. 0 of 4

Sevice +eat -0changer Revision 0

Pat &hell

o$e 'ircumferential &tress in the ?ogitudinal oint

t P R

O α 10.0 20

O HHH * "" (se$. H"%?U-S E - 0.C P 0.85 - 0.C 10.0

Bhee' t "ini"(" e(ie$ thic@ness of she%% ""

P intena% $esi!n pess(e #g,cm2.g

R insi$e a$i(s of the she%% co(se (n$e consi$eation ""

S "a4i"(" a%%o&a#%e stess va%(e

E oint efficienc7 fo' o the efficienc7 of' appopiate oint in c7%in$ica% o spheica% she%%s

coosion a%%o&ance ""


)SME Sec. +,,, Div. 1 UG42C J c K J 1 K


9/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


,te" No. +- 4 51 Sheet No. 0 of 4


Pat &hell 'oer

o$e 2:1 -lli!soidal +ead; t , ? =L 5.552

t >P R

O α )100

>10.0 20

O .0 ?100

S E - 5.1 P 100 - 1 - 0.1 10.0 100 - 15

HHH * "" (se$.





o&es e cenc7 o an7 on n e ea Q o e" -sp eca ea s' s nc( es ea - o-s e on Q


thic@ness e$(ction ate afte fo"in!

o$e 15 Dished +ead J Toris!herical +ead K; t , ? =L 5.552

t >0.885 P

O α )100

>0.885 10.0 :0C

O .0 ?100

S E - 5.1 P 100 - 1 - 0.1 10.0 100 - 15

HHH * "" (se$.

Bhee' insi$e spheica% o co&n a$i(s ""


)SME Sec. +,,, Div. 1 UG432 J d K

fo &e%$e$ vesse%s' (se the efficienc7 specifie$ in U9412

)SME Sec. +,,, Div. 1 UG432 J e K


10/31

1 Poect &am!le Doc. No. D - BNG - 100

2 ,te" No. +- 4 51 Seivice +eat -0changer Sheet No. 1 of 1

Desciption & + - ? ? F ? % G - I Desi!n es(%t Revision 0

1 D - & I G ' D I T I

: Desi!n Pess(e @!


11/31

1 Poect &am!le Doc. No. D - SG - 100

2 ,te" No. +- 4 51 Seivice +eat -0changer I T7pe oose Sheet No. 1 of 1

Desciption I Desi!n es(%t Revision 0

1 D - & I G ' D I T I

: Desi!n Pess(e @!


12/31




1 D - & I G ' D I T I

: Desi!n Pess(e @! - 9 ? < : "1 P O P O . " O # a -

G

G

G

G π 7

o a. oo a.' 2

D π

D . -

D

D D

T -

D

T .

D O

G

T

T T

o

D O

T

hG

hKG

HG h

;

G

G

G

MG HG h

;

GG O G

0

e

0

!1 !

0h

0 !

02 G

0 !

0 G

G

TH

G"o

o

D

α t e O 1H

T !1β :


13/31

1 Poect &am!le Doc. No. D - RG - 100



1 D - & I G ' D I T I

: Desi!n Pess(e @!


14/31




1 D - & I G ' D I T I

: Desi!n Pess(e @!


15/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


,te" No. +- 4 51 Sheet No. 0 of 4


Pat &hell Flat 'oer; Unsta8ed Flat +ead

o$e 9elded

t $ P < S E O α :0C 10.0 < 1 O .0

HHH 0 "" (se$.

Bhee' a facto $epen$in! (pon the "etho$ of attach"ent of hea$' she%% $i"ensions' an$ othe ite"s as %iste$ in >$?0. " 0. 4 I "in. 0.2 fo I Be%$e$

Bhee' " the atio' t < ts t - e(ie$ thic@ness of sea"%ess channe%

ts - no"ina% thic@ness of channe%

< *

o$e Formed / 9elded

t > $ P < S E O α )

100

> :0C 0.1= 10.0 < 1 O .0 ?

100

100 - 100 - 15

HHH 0 "" (se$.

Bhee' a facto $epen$in! (pon the "etho$ of attach"ent of hea$' she%% $i"ensions' an$ othe ite"s as %iste$ in >$?

0.1= fo I o"e$ V Be%$e$


)SME Sec. +,,, Div. 1 UG43$ J c K J2K


ts

$t

S@etch >a?

t "in.

B.. T..

ts

$t

ts

$t

S@etch >e? S@etch >f?


16/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


,te" No. +- 4 51 Sheet No. 0 of 4

Seivice +eat -0changer Revision 0

Pat 'hannel or onnet

o$e 'ircumferential &tress in the ?ogitudinal oint

t P R

O α 5.0 20

O HHH * "" (se$. H"%?U-S E - 0.C P 0.85 - 0.C 5.0



R insi$e a$i(s of the she% % co(se (n$e consi$eation ""

S "a4i"(" a%%o&a#%e stess va%(e E oint efficienc7 fo' o the efficienc7 of' appopiate oint in c7%in$ica% o spheica% she%%s



)SME Sec. +,,, Div. 1 UG42C J c K J 1 K


17/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


e" o. 4 ee o. o 4


Pat onnet 'oer

o$e 2:1 -lli!soidal +ead; t , ? =L 5.552

t >P R

O α )100

>5.0 20

O ?100

S E - 5.1 P 100 - 1 - 0.1 5.0 100 - 15

HHH * "" (se$.





E %o&est efficienc7 of an7 oint in the hea$Q fo he"i-spheica% hea$s' this inc%($es hea$-to-she%% ointQ


thic@ness e$(ction ate afte fo"in!

o$e 15 Dished +ead J Toris!herical +ead K; t , ? =L 5.552

t >0.885 P

O α )100

>0.885 5.0 :0C

O .0 ?100

S E - 5.1 P 100 - 1 - 0.1 5.0 100 - 15

HHH * "" (se$.

Bhee' insi$e spheica% o co&n a$i(s ""


)SME Sec. +,,, Div. 1 UG432 J d K

fo &e%$e$ vesse%s' (se the efficienc7 specifie$ in U9412

)SME Sec. +,,, Div. 1 UG432 J e K


18/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


,te" No. +- 4 51 Sheet No. 0 of 4


Pat 'hannel 'oer; Unsta8ed Flat +ead

o$e

fo opeatin! con$itions

t $ O $!

0. 5.0 < 1 O 1.* +)UEF < 1 W O :

HHH 5 "" (se$.

fo !as@et seatin!

t 0. 0.0 < 1 O 1.* +)UEF < 1 W O :

HHH 5 "" (se$.

Bhee' t "ini"(" e(ie$ thic@ness of f%at hea$ ""$ $ia"ete "eas(e$ as in$icate$ in i!. UG-: G ""

a facto $epen$in! (pon the "etho$ of attach"ent of hea$' she%% $i"ensions' an$ othe ite"s as %iste$ in >$?

0. fo I 9o%te$' onfine$ Gas@et' S@etch >?

P intena% $esi!n pess(e @! 0.0:5 G

P O 0.5 S9 )# hG ?E t

9

G


19/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


,te" No. +- 4 51 Sheet No. 0 of 4


Pat 'hannel 'oer; Unsta8ed Flat +ead

o$e

t $ P < S E O α 0.25 5.0 < 1 O .0

HHH 5 "" (se$.

Bhee' t "ini"(" e(ie$ thic@ness of f%at hea$ ""

$ $ia"ete "eas(e$ as in$icate$ in i!. UG-: ""

a facto $epen$in! (pon the "etho$ of attach"ent of hea$' she%% $i"ensions' an$ othe ite"s as %iste$ in >$?0.25 fo I 9o%te$ &ith (%% ace Gas@et

P intena% $esi!n pess(e @!$?

0. " 0. 4 I "in. 0.2 fo I Be%$e$

Bhee' " the atio' t < ts t - e(ie$ thic@ness of sea"%ess channe%

ts - no"ina% thic@ness of channe%

< *

o$e Formed / 9elded

t > $ P < S E O α )100

> :0C 0.1= 5.0 < 1 O .0 ?100

100 - 100 - 15

HHH 5 "" (se$.

Bhee' a facto $epen$in! (pon the "etho$ of attach"ent of hea$' she%% $i"ensions' an$ othe ite"s as %iste$ in >$?

0.1= fo I o"e$ V Be%$e$


)SME Sec. +,,, Div. 1 UG43$ J c K J2K olted ith Full Face Gas#et



ts

$t

S@etch >a?

t "in.

B.. T..

ts

$t

ts

$t

S@etch >e? S@etch >f?

$

S@etch >p?

t


20/31

1 Poect &am!le Doc. No. D - BNG - 100

2 ,te" No. +- 4 51 Seivice +eat -0changer Sheet No. 1 of 1

Desciption ' + % - ? F ? % G - I Desi!n es(%t Revision 0

1 D - & I G ' D I T I

: Desi!n Pess(e @!


21/31




1 D - & I G ' D I T I

: Desi!n Pess(e @!


22/31




1 D - & I G ' D I T I

: Desi!n Pess(e @! - 9 ? < : "1 P O P O . " O # a -

G

G

G

G π 7

o a. oo a.' 2

D π

D . -

D

D D

T -

D

T .

D O

G

T

T T

o

D O

T

hG

hKG

HG h

;

G

G

G

MG HG h

;

GG O G

0

e

0

!1 !

0h

0 !

02

G

0 !

0 G

G

TH

G"o

o

D

α t e O 1 HT !

1β :


23/31




1 D - & I G ' D I T I

: Desi!n Pess(e @!


24/31




1 D - & I G ' D I T I

: Desi!n Pess(e @!


25/31

+ - % T - A ' + % G - R :

M - ' + % I ' % ? D - & I G


,te" No. +- 4 51 Sheet No. 0 of 4


Pat Tu)esheet; &tationar8

o$e Tu)esheet Formula 4 ending

t G P

O $!s O $!t :0C 10.0

O O : η S 0.:=C

HHH 2* "" (se$.

Bhee' t Effective t(#esheet thic@ness ""

S o$e a% %o&a#%e stess in tension

P fo fi4e$ t(#esheets @!


26/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Revision 0

Sheet No. 0 of 4

Pat 1

o$e

%&M- &ec. "III; Di. 1

UG 4 $* oOOle ec# Thic#ness

U9 4 1B Minimum Re > ? -

Mateia% o$e I& I&

Mateia% specification & $15 &TPG 3C5 - , *5 % , &ch.1B5

,ntena% $esi!n pess(e P 10 @! E 1 ? tr2 ""

UG 4 1B J ) K Mini"(" thic@ness tr3 ""

J $ K Mini"(" thic@ness of stan$a$ &a%% pipe tr$ ""

tr* ""

trB ""

-J "" HHH "" (se$. -J HHH

&iOe of 9eld Re


27/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Revision 0

Sheet No. 1 of 4

Pat She%% Si$e No33%e J 1

o$e UG 4 3C Reinforcements re E1 t - t ? - 2 tn > E1 t - t ? > 1 - f1 ? o 2 > t O tn ? > E1 t - t ? - 2 tn > E1 t - t ? > 1 - f1 ?

H"%?U- ""2

S"a%%e of

H"%?U- ""2

S"a%%est of 5 t ti f2' 5 ti ti f2 o 2 h ti f2

4 ,% 4 ""2

o(t&a$ no33%e &e%$ H"%?U- ""2

o(te e%e"ent &e%$ >%e!?W2 f:

H"%?U- ""2

in&a$ no33%e &e%$ >%e!?W2 f2

4 ,% 4 ""2

> Dp - $ - 2 tn ? te f:

H"%?U- ""2

HHH H"%?U- HHH % L H"%?U- HH HH


Sten!th e$(ction facto' ≤




I UG 4 $5

%' )ea e(ie$

%1' )ea avai%a#%e in she%%

%2' )ea avai%a#%e in no33%e poectin! o(t&a$

%3' )ea avai%a#%e in in&a$ no33%e

%$1' )ea avai%a#%e in o(t&a$ &e%$

%$2' )ea avai%a#%e in o(te &e%$

%$3' )ea avai%a#%e in in&a$ &e%$

%*' )ea avai%a#%e in e%e"ent

tn Rn

Dp

tn

t

c

hti

$

te

t

I 1 S"a%%e of 2.5 t o 2.5 tn O te

I 2 S"a%%est of h' 2.5 t' o 2.5 ti

a!e of

$ o Rn O tn O t

o no33%e &a%% insete$

a!e of

$ o Rn O tn O t

o no33%e &a%% a#(ttin!

the vesse% &a%%tho(!h the vesse% &a%%

I1

I2


28/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Revision 0

Sheet No. 2 of 4

Pat She%% Si$e No33%e J 1

o$e UG 4 $1 &trength of Reinforcement

' % ? ' U ? % T I

%lloa)le Unit &tresses UG 4 $* J c K / U9 4 1* J c K

i%%et Be%$ Shea &fs 0.:* 4 +)UEF +)UEF

No33%e Ba%% Shea &ns 0.= 4 +)UEF +)UEF

Goove Be%$ Tension &gt 0.=: 4 +)UEF +)UEF

Goove Be%$ Shea &gs 0.C 4 +)UEF +)UEF

&trength of 'onnection -lements I Di"ensions ae in HHH

,nne i%%et Be%$ Shea

JaK π / 2 x Nozzle OD x Wel !e x S#$

π / 2 x 4 4 +)UEF +)UEF HHH +)UEF No33%e Ba%% Shea

J)K X < 2 4 Mean No33%e Dia. 4 tn 4 Sns

π / 2 x 4 4 +)UEF +)UEF +)UEF N

Goove Be%$ Tension

JcK X < 2 4 No33%e D 4 t 4 S!t

π / 2 x 4 4 +)UEF +)UEF +)UEF N

(te i%%et Be%$ Shea

JdK X < 2 4 Pa$ D 4 Be%$ e! 4 Sfs

π / 2 x 4 4 +)UEF +)UEF +)UEF N

Uppe Goove Be%$ Tension

JeK X < 2 4 No33%e D 4 te 4 S!t

π / 2 x 4 4 +)UEF +)UEF +)UEF N

o&e i%%et Be%$ Shea

JfK X < 2 4 No33%e D 4 Be%$ e! 4 Sfs

π / 2 x 4 4 ,% 4 4 +)UEF 4 ,% 4 4 ,% 4 N

?oad to )e carried )8 9elds UG 4 $1 J ) K J 1 K / J 2 K

Be%$ oa$ fo Sten!th Path 1 - 1

9141 > )2 O )5 O ):1 O ):2 ? Sv +)UEF +)UEF N


9242 > )2 O ) O ):1 O ): O 2 tn t f1 ? Sv +)UEF +)UEF N

Be%$ oa$ fo Sten!th Path -

9343 > )2 O ) O )5 O ):1 O ):2 O ): O 2 tn t f1 ? Sv +)UEF +)UEF N

Tota% Be%$ oa$

9 Z ) - )1 O 2 tn f1 > E1 t - t ? [ Sv +)UEF +)UEF N

'hec# &trength Paths UG 4 $1 J ) K J 1 K / J 2 K

Path 141 JdK O J)K +)UEF O +)UEF +)UEF N -J

oa$ fo Path 1-1 +)UEF N

Path 242 JaK O JcK O JeK +)UEF O +)UEF O +)UEF +)UEF N -J


Path 343 JdK O JcK +)UEF O +)UEF +)UEF N -J

oa$ fo Path - +)UEF N

-J HHH HHH


S"a%%e of 9141 o 9

S"a%%e of 9242 o 9

S"a%%e of 9343 o 9


29/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Revision 0

Sheet No. 0 of 4

Pat 3

o$e

%&M- &ec. "III; Di. 1

UG 4 $* oOOle ec# Thic#ness

U9 4 1B Minimum Re


30/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Revision 0

Sheet No. 1 of 4

Pat T(#e Si$e No33%e J 3

o$e UG 4 3C Reinforcements re E1 t - t ? - 2 tn > E1 t - t ? > 1 - f1 ? o 2 > t O tn ? > E1 t - t ? - 2 tn > E1 t - t ? > 1 - f1 ?

H"%?U- ""2

S"a%%e of

H"%?U- ""2

S"a%%est of 5 t ti f2' 5 ti ti f2 o 2 h ti f2

4 ,% 4 ""2

o(t&a$ no33%e &e%$ H"%?U- ""2

o(te e%e"ent &e%$ >%e!?W2 f:

H"%?U- ""2

in&a$ no33%e &e%$ >%e!?W2 f2

4 ,% 4 ""2

> Dp - $ - 2 tn ? te f:

H"%?U- ""2

HHH H"%?U- HHH % L H"%?U- HH HH






I UG 4 $5

%' )ea e(ie$

%1' )ea avai%a#%e in she%%

%2' )ea avai%a#%e in no33%e poectin! o(t&a$

%3' )ea avai%a#%e in in&a$ no33%e

%$1' )ea avai%a#%e in o(t&a$ &e%$

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%$3' )ea avai%a#%e in in&a$ &e%$

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31/31

+ - % T - A ' + % G - R : Doc. No. MD - HE - 100

M - ' + % I ' % ? D - & I G Revision 0

Sheet No. 2 of 4

Pat T(#e Si$e No33%e J 3

o$e UG 4 $1 &trength of Reinforcement

' % ? ' U ? % T I

%lloa)le Unit &tresses UG 4 $* J c K / U9 4 1* J c K

i%%et Be%$ Shea &fs 0.:* 4 +)UEF +)UEF

No33%e Ba%% Shea &ns 0.= 4 +)UEF +)UEF

Goove Be%$ Tension &gt 0.=: 4 +)UEF +)UEF

Goove Be%$ Shea &gs 0.C 4 +)UEF +)UEF

&trength of 'onnection -lements I Di"ensions ae in HHH

,nne i%%et Be%$ Shea

JaK π / 2 x Nozzle OD x Wel !e x S#$

π / 2 x 4 4 +)UEF +)UEF HHH +)UEF No33%e Ba%% Shea

J)K X < 2 4 Mean No33%e Dia. 4 tn 4 Sns

π / 2 x 4 4 +)UEF +)UEF +)UEF N

Goove Be%$ Tension

JcK X < 2 4 No33%e D 4 t 4 S!t

π / 2 x 4 4 +)UEF +)UEF +)UEF N

(te i%%et Be%$ Shea

JdK X < 2 4 Pa$ D 4 Be%$ e! 4 Sfs

π / 2 x 4 4 +)UEF +)UEF +)UEF N

Uppe Goove Be%$ Tension

JeK X < 2 4 No33%e D 4 te 4 S!t

π / 2 x 4 4 +)UEF +)UEF +)UEF N

o&e i%%et Be%$ Shea

JfK X < 2 4 No33%e D 4 Be%$ e! 4 Sfs

π / 2 x 4 4 ,% 4 4 +)UEF 4 ,% 4 4 ,% 4 N

?oad to )e carried )8 9elds UG 4 $1 J ) K J 1 K / J 2 K


9141 > )2 O )5 O ):1 O ):2 ? Sv +)UEF +)UEF N


9242 > )2 O ) O ):1 O ): O 2 tn t f1 ? Sv +)UEF +)UEF N

Be%$ oa$ fo Sten!th Path -

9343 > )2 O ) O )5 O ):1 O ):2 O ): O 2 tn t f1 ? Sv +)UEF +)UEF N

Tota% Be%$ oa$

9 Z ) - )1 O 2 tn f1 > E1 t - t ? [ Sv +)UEF +)UEF N

'hec# &trength Paths UG 4 $1 J ) K J 1 K / J 2 K

Path 141 JdK O J)K +)UEF O +)UEF +)UEF N -J


Path 242 JaK O JcK O JeK +)UEF O +)UEF O +)UEF +)UEF N -J


Path 343 JdK O JcK +)UEF O +)UEF +)UEF N -J

oa$ fo Path - +)UEF N

-J HHH HHH

S"a%%e of 9141 o 9

S"a%%e of 9242 o 9

S"a%%e of 9343 o 9

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