Saddle Calc

A!!ele"ation #a!to" d$e to Wind 5oing condition) [Item No. : V-45001] 1. Wind load : Fw (ASCE 7-05 1) Design data Wind velocity m!ortant "actor

Vo =

94.63 Mile/Hr =

=

1

#$!os%re &ate"ories

D

#$!os%re "actor

'( =

.9*

+%st e""ective "actor

+" =

.,*

-a!e "actor

&" =

.,

Hill  #scar!ment

'(t =

1

0%tside diameter

Do =

4.*4 m

H =

2*.66* m

ti =

.1 m

#m!ty eigt

We =

,6 g

0!erating eigt

Wo =

434933 g

est eigt

Wt =

4932,, g

#""ective lengt icness o" ins%lation

2) &alc%lation a) Velocity Velocity 5Wind) 5Wind) !ress%r !ress%re e 7o = .2*6 8 '( 8 '(t 8 Vo 8  =

21.::9 l;/"t² =

16.34 g/m²

;) #""ective #""ective diameter diameter De = 1.2 8 5Do < 2 8 ti) = 1.2 8 54.*4 < 2 8 .1) =

*.6,, m

c) #""ect #""ective ive area area "l = > 8 De / 4 = > 8 *.6,, *.6,, / 4 = "t = De 8 H = *.6,, *.6,, 8 2*.66* 2*.66* =

4.46, m 14*.9,3 m

e) Wind Wind "or "orce ce ?l = 7o 8 +" 8 &" 8 "l = 16.34 8 .,* 8 ., 8 4.46, = ?t = 7o 8 +" 8 &" 8 "t = 16.34 8 .,* 8 ., 8 14*.9,3 = 3) Wind "orce "actor a) &ross cceleration a$ = ?t / Wo

.2* g

;) @ongit%dinal cceleration ay = ?l / Wo

.1 g

323.9 g 1**6.21 g

42.3 m/s

SA/E F&) S/IIN% SIE

(owin !ondition

5Ae"er to B-tresses in @arge &ylindrical Cress%re Vessels on o -addle -%!!ortsB ;y @.C. ic) [Item No. : V-45001] %E&'E)* IN+, :. ℃

Design Cress%re 5internal)

DCi =

.3* MCa MCa Desig Design n em!er em!ert%r t%re e

Di =

Design Cress%re 5e$ternal)

DCe =

.1 MCa MCa Desig Design n em!er em!ert%r t%re e

De =

1*. ℃

-ell material

-E*16 :

Weigt o" o!erating condition

Wo =

434933. g

-addle material

-E*16 :

Weigt o" em!ty condition

We =

,6. g

-addle constr%ction is

&enter We;

Distance .@ to "i$ed saddle

1 =

3*. mm

-ell lloa;le stress at D.

-as =

13,. MCa itan!e ./ to Slidin addle

A 2

496*. mm

-addle lloa;le stress at MF.

-sd =

1,3.4 MCa De D e!t o" eads

H=

112*. mm

-addle yield stress

-sy =

262. MCa Wear !late ticness

t! =

2. mm

Distance to &o+ "rom dat%m

+=

114,*.6 mm Wear Wear !lat !late e id idt t

W =

**. mm

angent to angent lengt

@=

2*66*. mm Wear Wear !lat !late e cont contact act angle angle

7 =

1,. deg

1:2. mm We; !late ticness

t =

2,. mm

#=

4:6. mm

19. mm Fase !late idt

?=

3*. mm

226.* mm m m Fase !late ticness

t; =

3,. mm

-addle se!aration

@s =

Vessel o%tside diameter diameter

Do =

Vessel 0DED 5corroded condition) condition) tss =

Vessel o%tside mean mean radi%s

Am =

4*4. mm Fase !late lengt

Distance to &o+ "rom "i$ed saddle @s1 =

:996.6 mm G%m;er o" ri;s

n=

itan!e to Co% #"om lidin addle / 2

923.4 mm Ai; ticness

tr =

-addle eigt o" &.0.+ "or staced condition

-addle eigt

= c =

E mm ncor ncor5or 5or -ett -etting ing)) ;olt ;olt si(e si(e 2**. mm ncor ncor5or 5or -ett -etting ing)) ;olt mate materia riall

6. 2,. mm M42

E

-E32* 1

E

-addle contact angle

7=

16,. deg ncor5or -etting) ;olt alloa;le tensile -at =

3,9.2 MCa

-addle idt

F=

3*. mm ncor5or -etting) ;olt alloa;le sear -as =

3,9.2 MCa

nstallation o" -ti""ener ring

yes

-ti""ener ring si(e

1 ncor5or -etting) -etting) ;olts !er saddle

E3*$3*$t3/3

Fase coe""icient o" "riction 5-teel to -teel)

n =

1.

E

m=

.4

E

!!lica;le load load 5as !er B @0D &0MFG0GB &0MFG0G B seet  acceleration d%e to ind calc%lation) &ross acceleration

a$ = $ < a$ = .39

<

.2*

=

0.415

g

@ong. acceleration

ay = y < ay = .1

<

.1

=

0.101

g

Vertical acceleration

a( =

=

0.330

g

β=

1.6:6

rad.

Δ =

3.142

rad.

α =

1.*92

rad.

-addle "actor

.33

E

Gote. Wen te vessel is sti""ened ;y ead 5 A 5 A /Am I .*) .*) or ring ring sti""enerJ sti""enerJ K is taen taen as > 53.141*9) 53.141*9)

CA/C,/AI&N 1. -addle reactions $e to dead load (oe"atin weit : Wo 1) t "i$ed side A" = Wo $ @s2 / @s =

434933 $ 923.4 / 1:2

=

232:24.*6

g

=

22,224,.31

G

434933 $ :996.6 / 1:2

=

222,.4*

g

=

19,29,:.*

G

2) t sliding side As = Wo $ @s1 / @s =

$e to !om6ination load on lidin ide (WIN  WAVE '&I&N 3) &om;ination loadJ V& = a$ $ As =

.41* $ 19,29,:.*

=

,22939.,2 G

V@ = ay $ As =

.11 $ 19,29,:.*

=

22,1.:4 G

Vv = a( $ As =

.33 $ 19,29,:.*

=

6*43,*.,, G

=

6,4J:,., G

WereJ V@  &ross sear acting on sliding saddle V&  @ongit%dinal sear acting on sliding saddleL&ross section Vv  Vertical "orce acting on sliding saddle 4) -addle reactions d%e to eigt < com;ination load E &om;ination longit%dinal reactionJ 1 1 = V@ $ c / @s < Vv =

22,1.:4 $ 2** / 1:2 < 6*43,*.,,

E &om;ination transverse reactionJ t t = V& $ c / 5Am $ sin57/2)) < Vv =

,22939.,2 $ 2** / 5 226.* $ sin 5 16, / 2 )) < 6*43,*.,, =

1J*,:J,32.3 G

=

3J*:J,19., G

 = Weigt on saddle < larger o" t or 1 = 19,29,:.*G < larger o" 1*,:,32.31G or 6,4:,.,2G 2. Moment and sear "orce 1) Ma$im%m ;ending moment M1J at mids!an M1 =  $ @ / 4 $ 5551<2 $ 55Am 2 < H2) / @2)) / 51<554 $ H) / 53 $ @)))) E 554 $ 2) / @)) = 3*:,19.,1$2*66*/4$5551<2$55226.*<112*)/2*66*))/51<54$5112*)/53$2*66*))))E554$496*)/2*66*)) =

433661*29., GEmm

2) Ma$im%m ;ending moment in te !lane o" te saddle M2J M2 =  $ 2 $ 51 E 5551 E 52 / @) < 55Am 2 E H2) / 52 $ 2 $ @))) / 51 < 554 $ H) / 53 $ @)))) = 3*:,19.,1$496*$51E5551E5496*/2*66*)<55226.*E112*)/52$496*$2*66*)))/51<554$112*)/53$2*66*)))) = 3966693444.26 GEmm 3) -ear "orce V =  $ 5@ E 2 $ 2 E H) / 5@ < H) = 3*:,19.,1 $ 52*66* E 2 $ 496* E 112*) / 52*66* < 112*) =

194:3*6.39 G

3. -ection mod%l%s 1) Feteen saddle 1 = > $ Am2 $ tss = > $ 226.* $ 19

=

3*,,,9.3 mm³

2) t saddle 2 2 = π $ Am2 $ tss $ 55 Δ < sinK $ cosK E 52 $ 5sin K)/K)) / 5π $ 5sinK / K) E cosK))

= >$226.*$19$553.142$5sin3.142/3.142)Ecos3.142)) =

3*12:**,.,9 mm³

4. -tress at sell 1) @ongit%dinal ;ending stress ;eteen saddle -1 = M1 / 1 =

433661*29., / 3*,,,9.3 =

-2 = E -1 =

=

14.22

G/mm²

=

E14.22

G/mm²

=

13.1

G/mm²

=

E13.1

G/mm²

2) @ongit%dinal ;ending stress at saddle -3 = M2 / 2 =

3966693444.26 / 3*12:**,.,9 =

-4 = E -3 = 3) &irc%m"erential stress at orn o" saddle 5Wit sti""ener ring) G%m;er o" ringJ

n=

rea o" ringJ

1 ea

r = 26,12.6:1 mm²

-ection mod%l%s o" ringJ ield strengt o" ringJ 5-ame sell material)

s =

2,234: mm³

" =

3*329:: mm³

-yr =

?actorJ '6 =

.2243 5according to a;le 4.1*.1 o" -M# -#& V D2.)

?actorJ ', =

.3:633 5according to a;le 4.1*.1 o" -M# -#& V D2.)

262 G/mm²

3E1) -tress in sell -* = E55', $ ) / 5n $ r))<55'6 $  $ Am) / 5n $ s)) = E55.3:633 $ 3*:,19.,1) / 51 $ 26,12.6:13334)) < 55.2243 $ 3*:,19.,1 $ 226.*) / 51 $ 2,2346.*1*31,4)) =

14.1 G/mm²

3E2) -tress in ring -6 = E55', $ ) / 5n $ r))E55'6 $  $ Am) / 5n $ ")) = E55.3:633 $ 3*:,19.,1) / 51 $ 26,12.6:13334)) E 55.2243 $ 3*:,19.,1 $ 226.*) / 51 $ 3*329::.22314:9)) =

E11.3: G/mm²

4) angential sear stress ?actorJ '4 = 1 / π =

.319

-ts = 5'4 $ V) / 5Am $ tss) = 5.319 $ 194:3*6.39) / 5226.* $ 19)

=

14.4:

G/mm²

*) Aing com!ression in sell over te saddle ?actorJ '9 = 51 < cos5α)) / 5π E α < sin5α) $ cos5α)) = 51 < &0-51.*92)) / 55> E 1.*92 < -G51.*92) 8 &0-51.*92))

=

.6*

=

1,1.44

G/mm²

=

2.:4

G/mm²

=

E*.93

G/mm²

=

41.4,

G/mm²

=

E11.,6

G/mm²

=

34.96

G/mm²

=

E2.1*

G/mm²

=

**.49

G/mm²

=

E11.,6

G/mm²

=

E11.3:

G/mm²

-: = 5'9 $ ) / 5tss $ 5F < 1.*6 $ s7r5Am $ tss))) = 5.6* $ 3*:,19.,1) / 519 $ 53* < 1.*6 $ s7r5226.* $ 19))) 6) @ongit%dinal tension stess d%e to !ress%re -, = 5DCi $ 5Do E 2 $ tss)) / 54 $ tss) = 5.3* $ 54*4 E 2 $ 19)) / 54 $ 19) :) @ongit%dinal com!ression stress d%e to !ress%re -9 = 5EDCe $ 5Do E 2 $ tss)) / 54 $ tss) = 5E.1 $ 54*4 E 2 $ 19)) / 54 $ 19) ,) &irc%m"erential tension stress d%e to !ress%re -1 = 2 $ -1 = 2 $ 2.:4 9) &irc%m"erential com!ression stress d%e to !ress%re -11 = 2 $ -11 = 2 $ E*.93 *. &om;ination o" stress 1) @ongit%dinal tension stress -@ = -, < @arger o" -1 or -3 2) @ongit%dinal com!ression stress -@& = -9 < smaller o" -2 or -4 3) &irc%m"erential tension stress -& = -1 < i" -* is !ositive 4) &irc%m"erential com!ression stress -&& = -11 < i" -* is negative *) -ear stress -- = -6 8. )e$lt -@

=

34.96 G/mm²

9

# $ -as

=

11:.3 G/mm²

→ A!!et

-@&

=

E2.1* G/mm²

9

-ac

=

93., G/mm²

→ A!!et

-&

=

**.49 G/mm²

9

1.2 $ -as

=

16*.6 G/mm²

→ A!!et

-&&

=

E11.,6 G/mm²

9

# $ -as

=

11:.3 G/mm²

→ A!!et

--

=

E11.3: G/mm²

9

., $ -as

=

11.4 G/mm²

→ A!!et

WereJ #N  Ooint e""iciency o" sell

=

.,*

:. -tress in saddle 1) -tress d%e to eigt ?actorJ '1 =

.29424

--1 = 5'1 $ ) / 55Am $ t) / 3) = 5.29424 $ 3*:,19.,1) / 55226.* $ 2,) / 3)

=

49.,

G/mm²

2) -tress at saddle d%e to ori(ontal "orce 2E1) @ongit%dinal direction "orce @ =

346:6*3 mm³

M@ = V@ $ c = 22,1.:4 $ 2**

=

--2 = M@ / @ = *1:1,43: / 346:6*2.91

*1:1,43: =

14:.29

GEmm G/mm²

2E2) &irc%m"erentia direction "orce & =

1132196 mm³

M& = V& $ c = ,22939.,2 $ 2**

=

--3 = M& / 52 $ &) = 29,496*41 / 52 $ 1132196.14)

29,496*41

GEmm

=

1,.*4

G/mm²

=

2.*1

G/mm²

3) -tress at ;ase !late --4  / 5# $ ?) = 3*:,19.,1 / 54:6 $ 3*) 4) Ae7%ired ;ase !late ticness t;r= s7r553 $  $ F) / 54 $ -sd $ #)) = s7r553 $ 3*:,19.,1 $ 3*) / 54 $ 1,3.4 $ 4:6)) =

3*.42 mm

9

t;

=

→ A!!et

3, mm

5 )e$lt --1

=

49., G/mm²

9

2/3 -sd

=

122.2666: G/mm²

→ A!!et

--2

=

14:.29 G/mm²

9

-sd

=

1,3.4 G/mm²

→ A!!et

--3

=

1,.*4 G/mm²

9

-sd

=

1,3.4 G/mm²

→ A!!et

--4

=

2.*1 G/mm²

9

-; = -sd

=

1,3.4 G/mm²

→ A!!et

,. We; !late ;%cling cec 5#scoe !g 2*1) lloa;le com!ressive stress -c is te lesser o" 1,3.4 MCa or 31:.64 MCa -c = 'i $ !i² $ # / 512 $ 51 E .3 ²) $ 5di / t) ²) = 1.2, $ !i $ 522.2, $ 1P) / 512 $ 51 E .3) $ 5:6 / 2,)

=

31:.64 MCa

lloa;le com!ressive load on te saddle ;e = di $ t / 5di $ t < 2 $ tr $ 5F E 2*.4)) $ 2*.4 = :6 $ 2, / 5:6 $ 2, < 2 $ 2, $ 53* E 2*.4 )) $ 2*.4

=

13.:

?; = n $ 55t $ F) < 2 $ ;e $ t) $ -c = 6 $ 552, $ 3*) < 2 $ 13.: $ 2,) $ 1,3.4

=

1162,14: G

-addle loading o" 6*43,*.,, G is I ?; Q -atis"actory

I

ereJ 'i  Clate ;%cling coe""icient #  Mod%li o" #lasticity

=

di  @argest sti""ener ri; s!acing = -addle loading  Vv

22.2, $ 1³ MCa :6. mm =

6*43,*.,, G

SA/E F&) FI;E SIE

(owin !ondition

5Ae"er to B-tresses in @arge &ylindrical Cress%re Vessels on o -addle -%!!ortsB ;y @.C. ic) [Item No. : V-45001] %E&'E)* IN+, :. ℃

Design Cress%re 5internal)

DCi =

.3* MCa Design em!ert%re

Di =

Design Cress%re 5e$ternal)

DCe =

.1 MCa Design em!ert%re

De =

1*. ℃

-ell material

-E*16 :

Weigt o" o!erating condition

Wo =

434933. g

-addle material

-E*16 :

Weigt o" em!ty condition

We =

,6. g

-addle constr%ction is

&enter We;

itan!e ./ to #ied addle

A1 2

3*. mm

-ell lloa;le stress at D.

-as =

13,. MCa Distance .@ to -liding saddle

2 =

496*. mm

-addle lloa;le stress at MF.

-sd =

1,3.4 MCa De!t o" eads

H=

112*. mm

-addle yield stress

-sy =

262. MCa Wear !late ticness

t! =

2. mm

Distance to &o+ "rom dat%m

+=

114,*.6 mm Wear !late idt

W =

**. mm

angent to angent lengt

@=

2*66*. mm Wear !late contact angle

7 =

1,. deg

1:2. mm We; !late ticness

t =

2,. mm

#=

4:6. mm

19. mm Fase !late idt

?=

3*. mm

226.* mm Fase !late ticness

t; =

3,. mm

-addle se!aration

@s =

Vessel o%tside diameter

Do =

4*4. mm Fase !late lengt

Vessel ticness 5&orroded condition) tss =

Vessel o%tside mean radi%s

Am =

itan!e to Co% #"om #ied addle /1 2

:996.6 mm G%m;er o" ri;s

n=

Distance to &o+ "rom sliding saddle @s2 =

923.4 mm Ai; ticness

tr =

-addle eigt o" &.0.+ "or staced condition

-addle eigt

= c =

E mm ncor5or -etting) ;olt si(e 2**.

mm ncor5or -etting) ;olt material

6. 2,. mm M42

E

-E32* 1

E

-addle contact angle

7=

16,. deg ncor5or -etting) ;olt alloa;le tensile -at =

3,9.2 MCa

-addle idt

F=

3*. mm ncor5or -etting) ;olt alloa;le sear -as =

3,9.2 MCa

nstallation o" -ti""ener ring

yes

-ti""ener ring si(e

1 ncor5or -etting) ;olts !er saddle n =

E3*$3*$t3/3

Fase coe""icient o" "riction 5-teel to -teel)

m=

!!lica;le load 5as !er B@0D &0MFG0GB seet  acceleration d%e to ind calc%lation) &ross acceleration

a$ = $ < a$ =

.39

<

.2*

=

0.415

g

@ong. acceleration

ay = y < ay =

.1

<

.1

=

0.101

g

Vertical acceleration

a( =

.33

=

0.330

g

β=

1.6:6

rad.

Δ =

3.142

rad.

α =

1.*92

rad.

-addle "actor

Gote. Wen te vessel is sti""ened ;y ead 5 A1 /Am I .*) or ring sti""enerJ K is taen as > 53.141*9)

E

1.

E

.4

E

CA/C,/AI&N 1. -addle reactions $e to dead load (oe"atin weit : Wo 1) t "i$ed side A" = Wo $ @s2 / @s =

434933 $ 923.4 / 1:2

=

232:24.*6

g

=

22,224,.31

G

434933 $ :996.6 / 1:2

=

222,.4*

g

=

19,29,:.*

G

2) t sliding side As = Wo $ @s1 / @s =

$e to !om6ination load on #ied ide (WIN  WAVE '&I&N 3) &om;ination loadJ V& = a$ $ A" =

.41* $ 22,224,.31

=

94:133.* G

V@ = ay $ A" =

.11 $ 22,224,.31

=

23*:., G

Vv = a( $ A" =

.33 $ 22,224,.31

=

:*3141.9* G

=

:,:J316. G

WereJ V@  &ross sear acting on sliding saddle V&  @ongit%dinal sear acting on sliding saddleL&ross section Vv  Vertical "orce acting on sliding saddle 4) -addle reactions d%e to eigt < com;ination load E &om;ination longit%dinal reactionJ 1 1 = V@ $ c / @s < Vv =

23*:., $ 2** / 1:2 < :*3141.9*

E &om;ination transverse reactionJ t t = V& $ c / 5Am $ sin57/2)) < Vv =

94:133.* $ 2** / 5 226.* $ sin 5 16, / 2 )) < :*3141.9* =

1J,2:J4*,.6 G

=

3J,1J446.1 G

 = Weigt on saddle < larger o" t or 1 = 19,29,:.*G < larger o" 1,2:4*,.62G or :,:31*.9:G 2. Moment and sear "orce 1) Ma$im%m ;ending moment M1J at mids!an M1 =  $ @ / 4 $ 5551<2 $ 55Am 2 < H2) / @2)) / 51<554 $ H) / 53 $ @)))) E 554 $ 1) / @)) = 3,1446.12$2*66*/4$5551<2$55226.*<112*)/2*66*))/51<54$5112*)/53$2*66*))))E554$3*)/2*66*)) = 129344332., GEmm 2) Ma$im%m ;ending moment in te !lane o" te saddle M2J M2 =  $ 1 $ 51 E 5551 E 51 / @) < 55Am 2 E H2) / 52 $ 1 $ @))) / 51 < 554 $ H) / 53 $ @)))) = 3,1446.12$3*$51E5551E53*/2*66*)<55226.*E112*)/52$3*$2*66*)))/51<554$112*)/53$2*66*)))) = 21,*11619*.61 GEmm 3) -ear "orce V =  $ 5@ E 2 $ 1 E H) / 5@ < H) = 3,1446.12 $ 52*66* E 2 $ 3* E 112*) / 52*66* < 112*) =

2494:,2.*: G

3. -ection mod%l%s 1) Feteen saddle 1 = > $ Am2 $ tss = > $ 226.* $ 19

=

3*,,,9.3 mm³

2) t saddle 2 = π $ Am2 $ tss $ 55 Δ < sinK $ cosK E 52 $ 5sin 2 K)/K)) / 5π $ 5sinK / K) E cosK)) = >$226.*$19$553.142$5sin3.142/3.142)Ecos3.142)) =

3*12:**,.,9 mm³

4. -tress at sell 1) @ongit%dinal ;ending stress ;eteen saddle -1 = M1 / 1 =

129344332.:*/3*,,,9.3 =

-2 = E -1 =

=

33.4,

G/mm²

=

E33.4,

G/mm²

=

:.1:

G/mm²

=

E:.1:

G/mm²

2) @ongit%dinal ;ending stress at saddle -3 = M2 / 2 =

21,*11619*.61 / 3*12:**,.,9 =

-4 = E -3 = 3) &irc%m"erential stress at orn o" saddle 5Wit sti""ener ring) G%m;er o" ringJ

n=

rea o" ringJ

1 ea

r = 26,12.6:1 mm²

-ection mod%l%s o" ringJ ield strengt o" ringJ 5-ame sell material)

s =

2,234: mm³

" =

3*329:: mm³

-yr =

?actorJ '6 =

.2243 5according to a;le 4.1*.1 o" -M# -#& V D2.)

?actorJ ', =

.3:633 5according to a;le 4.1*.1 o" -M# -#& V D2.)

262 G/mm²

3E1) -tress in sell -* = E55', $ ) / 5n $ r))<55'6 $  $ Am) / 5n $ s)) = E55.3:633 $ 3,1446.12) / 51 $ 26,12.6:13334)) < 55.2243 $ 3,1446.12 $ 226.*) / 51 $ 2,2346.*1*31,4)) =

14.9* G/mm²

3E2) -tress in ring -6 = E55', $ ) / 5n $ r))E55'6 $  $ Am) / 5n $ ")) = E55.3:633 $ 3,1446.12) / 51 $ 26,12.6:13334)) E 55.2243 $ 3,1446.12 $ 226.*) / 51 $ 3*329::.22314:9)) =

E1,.1: G/mm²

4) angential sear stress ?actorJ '4 = 1 / π =

.319

-ts = 5'4 $ V) / 5Am $ tss) = 5.319 $ 2494:,2.*:) / 5226.* $ 19)

=

1,.*3

G/mm²

*) Aing com!ression in sell over te saddle ?actorJ '9 = 51 < cos5α)) / 5π E α < sin5α) $ cos5α)) = 51 < &0-51.*92)) / 55> E 1.*92 < -G51.*92) 8 &0-51.*92))

=

.6*

=

193.62

G/mm²

=

2.:4

G/mm²

=

E*.93

G/mm²

=

41.4,

G/mm²

=

E11.,6

G/mm²

=

*4.22

G/mm²

=

E39.41

G/mm²

=

*6.43

G/mm²

=

E11.,6

G/mm²

=

E1,.1:

G/mm²

-: = 5'9 $ ) / 5tss $ 5F < 1.*6 $ s7r5Am $ tss))) = 5.6* $ 3,1446.12) / 519 $ 53* < 1.*6 $ s7r5226.* $ 19))) 6) @ongit%dinal tension stess d%e to !ress%re -, = 5DCi $ 5Do E 2 $ tss)) / 54 $ tss) = 5.3* $ 54*4 E 2 $ 19)) / 54 $ 19) :) @ongit%dinal com!ression stress d%e to !ress%re -9 = 5EDCe $ 5Do E 2 $ tss)) / 54 $ tss) = 5E.1 $ 54*4 E 2 $ 19)) / 54 $ 19) ,) &irc%m"erential tension stress d%e to !ress%re -1 = 2 $ -1 = 2 $ 2.:4 9) &irc%m"erential com!ression stress d%e to !ress%re -11 = 2 $ -11 = 2 $ E*.93 *. &om;ination o" stress 1) @ongit%dinal tension stress -@ = -, < @arger o" -1 or -3 2) @ongit%dinal com!ression stress -@& = -9 < smaller o" -2 or -4 3) &irc%m"erential tension stress -& = -1 < i" -* is !ositive 4) &irc%m"erential com!ression stress -&& = -11 < i" -* is negative *) -ear stress -- = -6 8. )e$lt -@

=

*4.22 G/mm²

9

# $ -as

=

11:.3 G/mm²

→ A!!et

-@&

=

E39.41 G/mm²

9

-ac

=

93., G/mm²

→ A!!et

-&

=

*6.43 G/mm²

9

1.2 $ -as

=

16*.6 G/mm²

→ A!!et

-&&

=

E11.,6 G/mm²

9

# $ -as

=

11:.3 G/mm²

→ A!!et

--

=

E1,.1: G/mm²

9

., $ -as

=

11.4 G/mm²

→ A!!et

WereJ #N  Ooint e""iciency o" sell =

.,*

:. -tress in saddle 1) -tress d%e to eigt ?actorJ '1 =

.29424

--1 = 5'1 $ ) / 55Am $ t) / 3) = 5.29424 $ 3,1446.12) / 55226.* $ 2,) / 3)

=

*3.1*

G/mm²

2) -tress at saddle d%e to ori(ontal "orce 2E1) @ongit%dinal direction "orce @ =

346:6*3 mm³

M@ = V@ $ c = 23*:., $ 2**

=

--2 = M@ / @ = *,::93*4 / 346:6*2.91

*,::93*4 =

169.*1

GEmm G/mm²

2E2) &irc%m"erentia direction "orce & =

1132196 mm³

M& = V& $ c = 94:133.* $ 2**

=

--3 = M& / 52 $ &) = 241*1,92::.* / 52 $ 1132196.14)

241*1,92::.*

GEmm

=

21.34

G/mm²

=

2.6,

G/mm²

3) -tress at ;ase !late --4  / 5# $ ?) = 3,1446.12 / 54:6 $ 3*) 4) Ae7%ired ;ase !late ticness t;r= s7r553 $  $ F) / 54 $ -sd $ #)) = s7r553 $ 3,1446.12 $ 3*) / 54 $ 1,3.4 $ 4:6)) =

36.*, mm

9

t;

=

→ A!!et

3, mm

5 )e$lt --1

=

*3.1* G/mm²

9

2/3 -sd

=

122.2666: G/mm²

→ A!!et

--2

=

169.*1 G/mm²

9

-sd

=

1,3.4 G/mm²

→ A!!et

--3

=

21.34 G/mm²

9

-sd

=

1,3.4 G/mm²

→ A!!et

--4

=

2.6, G/mm²

9

-; = -sd

=

1,3.4 G/mm²

→ A!!et

,. We; !late ;%cling cec 5#scoe !g 2*1) lloa;le com!ressive stress -c is te lesser o" 1,3.4 MCa or 31:.64 MCa -c = 'i $ !i ² $ # / 512 $ 51 E .3 ²) $ 5di / t) ²) = 1.2, $ !i $ 522.2, $ 1P) / 512 $ 51 E .3) $ 5:6 / 2,)

=

31:.64 MCa

lloa;le com!ressive load on te saddle ;e = di $ t / 5di $ t < 2 $ tr $ 5F E 2*.4)) $ 2*.4 = :6 $ 2, / 5:6 $ 2, < 2 $ 2, $ 53* E 2*.4 )) $ 2*.4

=

13.:

?; = n $ 55t $ F) < 2 $ ;e $ t) $ -c = 6 $ 552, $ 3*) < 2 $ 13.: $ 2,) $ 1,3.4

=

1162,14: G

-addle loading o" :*3141.9* G is I ?; Q -atis"actory

I

ereJ 'i  Clate ;%cling coe""icient #  Mod%li o" #lasticity

=

di  @argest sti""ener ri; s!acing = -addle loading  Vv

22.2, $ 1³ MCa :6. mm =

:*3141.9* G

,. -tress o" ancor5or setting) ;olt in sliding saddle 5-;1 and -;2) G%m;er o" ;olt in sliding saddle

G=

ncor ;olt area 5Folt si(e)

; =

1 ea 1,2.*, mm² 5 M M42)

1) -tress o" ancor ;olt d %e to ma$. ;ase sear -;1 = 5V / 2 ) / 5; $ G) = 52494:,2.*: / 2) / 51,2.*, $ 1) =

11*.23

G/mm²

9

-as

=

3,9.2 G/mm²

→ A!!et

2) -tress o" ancor ;olt d %e to termal e$!ansion -;2 = 5Vv $ m ) / 5; $ G) = 5:*3141.9* $ .4) / 51,2.*, $ 1) =

2:.,3

G/mm²

9

-as

=

3,9.2 G/mm²

→ A!!et

DOC. NO.: PROGRAM NAME : STIFFENER VERSION

REV. NO.:

: 0.1

PAGE NO.:

/

** SECTION MODULUS CALCULATION OF RIB PLATE AND WEB PLATE ** SADDLE TYPE :

TYPE 1

tr

hl L1 tb

C

y2

y1 BCD L2 (unit ; In) L2 =

3770.00 tb =

28 y1 =

14.00

28 hl =

322 y2 =

189

tr = !

C=

73.29

NR=

6

(unit ; In)

"#R$

##

%

##y

h

h&2

##h&2

I'=bh&312

1

1060.0

14

1477840

9.29

316 371137892

689686.7

2

4096

189

10224144

11.71

13388 72421831

467407472.0

1.09,-09

47430408.7

*+"

1966.0

11701984

%!% "#R$ 1

##

h

h&2

1060

0

2!1

9016

2!2

##h&2 0

12026143666.7

1871

300641 3.16,-10

8904.3

0

1871

300641

0

0.0

2!3

0

1123

1260231

0

0.0

2!4

0

374

140026

0

0.0

2!

0

374

140026

0

0.0

2!6

9016

1123

1260231 1.136,-10

8904.3

0

1871

300641

0

0.0

9016

1871

300641 3.16,-10

0.0

7.449,-10

1202732177.3

*+"

0

I'=bh&312

132608 L1

RDIN#/,

tb hl

748.40 tr

 *+R/ L+ / /, N,+/R#L #I*  C = Σ( ##  % ) Σ ## = Cy = B  2

=

6 73.29

""

188

""

 "",N/ 5 IN,R/I# 

 B

4 3

2

4

I = *+". I' - *+".(##  hl ) =

1.7,-09 ""

Iyy = *+". I' - *+".(##  h1 2) =

2.00,-11 ""4

2 C

L = IC = C = IyyCy =

214168 ""3 3

1084204 ""

1

** SECTION MODULUS CALCULATION OF RIB PLATE AND WEB PLATE ** *#DDL, /%, 

/%, 2

tr

hl

y1

tb

L1 y2 BCD B (unit ; IN)

B=

3770 tb =

28 y1 =

0

L1 =

30

tr =

28 hl =

161 y2 =

94.

NR=

6

!

(unit ; IN)

"#R$

#r

h

h&2

1

1060

0

2

4096

9

*+"

#h&2 0

I'=bh&312 0

689686.7

8930 483090804

11681868.0

483090804

12374844.7

1966.0

%!% "#R$ 1

##

h

h&2

1060

0

2!1

408

2!2

##h&2 0

12026143666.7

1871

300641 3.16,-10

8904.3

408

1123

1260231 1.136,-10

8904.3

2!3

408

374

140026 1.262,-09

8904.3

2!4

408

374

140026 1.262,-09

8904.3

2!

408

1123

1260231 1.136,-10

8904.3

2!6

408

1871

300641 3.16,-10

8904.3

8.837,-10

12029677938.7

*+"

0

I'=bh&312

132608 L1

RDIN#/,

tb hl

748.40 tr

 *+R/ L+ / /, N,+/R#L #I* 

6

C = ((2hl)-tb)2 =



Cy = B  2

=

17.00

""

188.00

""

 "",N/ 5 IN,R/I# 

B

4 3

I = *+". I' - *+".(##  hl 2) =

60683929 ""4

Iyy = *+". I' - *+".(##  h1 2) =

2.13,-11 ""4

2

Cy L = IC = C = IyyCy =

3

346763 ""

113210960 ""3

1

(40=1:RIB!*"00!*/#C$(#B)
1871

8 1871.0 7

1122.60

1122.6 6 374.2 

374.20 374.20 374.2 4 1122.60

1122.6 3 1871.0 2

1871

1871 1122.60 374.20 374.20 1122.60 1871

(40=1:RIB!*"00!*/#C$(#B)

REV. NO.:

: 0.1

PAGE NO.:

/

** SECTION MODULUS CALCULATION OF RIB PLATE AND WEB PLATE ** SADDLE TYPE :

TYPE 1

tr

hl L1 tb

C

y2

y1 BCD L2 (unit ; In) L2 =

3770.00 tb =

28 y1 =

14.00

28 hl =

322 y2 =

189

tr = !

C=

73.29

NR=

6

(unit ; In)

"#R$

##

%

##y

h

h&2

##h&2

I'=bh&312

1

1060.0

14

1477840

9.29

316 371137892

689686.7

2

4096

189

10224144

11.71

13388 72421831

467407472.0

1.09,-09

47430408.7

*+"

1966.0

11701984

%!% "#R$ 1

##

h

h&2

1060

0

2!1

9016

2!2

##h&2 0

12026143666.7

1871

300641 3.16,-10

8904.3

0

1871

300641

0

0.0

2!3

0

1123

1260231

0

0.0

2!4

0

374

140026

0

0.0

2!

0

374

140026

0

0.0

2!6

9016

1123

1260231 1.136,-10

8904.3

0

1871

300641

0

0.0

9016

1871

300641 3.16,-10

0.0

7.449,-10

1202732177.3

*+"

0

I'=bh&312

132608 L1

RDIN#/,

tb hl

748.40 tr

 *+R/ L+ / /, N,+/R#L #I*  C = Σ( ##  % ) Σ ## = Cy = B  2

=

6 73.29

""

188

""

 "",N/ 5 IN,R/I# 

 B

4 3

2

4

I = *+". I' - *+".(##  hl ) =

1.7,-09 ""

Iyy = *+". I' - *+".(##  h1 2) =

2.00,-11 ""4

2 C

L = IC = C = IyyCy =

214168 ""3 3

1084204 ""

1

** SECTION MODULUS CALCULATION OF RIB PLATE AND WEB PLATE ** *#DDL, /%, 

/%, 2

tr

hl

y1

tb

L1 y2 BCD B (unit ; IN)

B=

3770 tb =

28 y1 =

0

L1 =

30

tr =

28 hl =

161 y2 =

94.

NR=

6

!

(unit ; IN)

"#R$

#r

h

h&2

1

1060

0

2

4096

9

*+"

#h&2 0

I'=bh&312 0

689686.7

8930 483090804

11681868.0

483090804

12374844.7

1966.0

%!% "#R$ 1

##

h

h&2

1060

0

2!1

408

2!2

##h&2 0

12026143666.7

1871

300641 3.16,-10

8904.3

408

1123

1260231 1.136,-10

8904.3

2!3

408

374

140026 1.262,-09

8904.3

2!4

408

374

140026 1.262,-09

8904.3

2!

408

1123

1260231 1.136,-10

8904.3

2!6

408

1871

300641 3.16,-10

8904.3

8.837,-10

12029677938.7

*+"

0

I'=bh&312

132608 L1

RDIN#/,

tb hl

748.40 tr

 *+R/ L+ / /, N,+/R#L #I* 

6

C = ((2hl)-tb)2 =



Cy = B  2

=

17.00

""

188.00

""

 "",N/ 5 IN,R/I# 

B

4 3

I = *+". I' - *+".(##  hl 2) =

60683929 ""4

Iyy = *+". I' - *+".(##  h1 2) =

2.13,-11 ""4

2

Cy L = IC = C = IyyCy =

3

346763 ""

113210960 ""3

1

(40=1:RIB!*"00!*/#C$(#B)
1871

8 1871.0 7

1122.60

1122.6 6 374.2 

374.20 374.20 374.2 4 1122.60

1122.6 3 1871.0 2

1871

1871 1122.60 374.20 374.20 1122.60 1871

(40=1:RIB!*"00!*/#C$(#B)
CALCULATION OF STIFFENER RING

 D,*IN D#/# CNDI/IN +/*ID, 5 *,LL

 CRRD,D CNDI/IN D = 4540.00 >>

*,LL /$(CRRD,D)

t =

19.000

>>

L = 0.78*?R.(R>  t1)

L =  =

161.65 19.00

>> >>

24 t4

4 G

 t3 *#DDL, #D

4 

t2

!

t1

1

! 2

1

2!

L

C

L

21 (+NI/ >>) b1 =

!.

t1 =

19

y1 =

9.

b2 =

0.0

t2 =

0

y2 =

19

b3 =

!0

t3 =

!"0

y3 =

19

b4 =

!50

t4 =

!0

y4 =

309 (+NI/  >>)

2

2

h



y

y

h

1

6142.7

9.

83.4

139

1944

1194439.2

184792.0

2 3

0 600

19 19

0 890400

130 10

16886 101

0.0 6604.2

0.0 3686666.7

4

000

309

14000

160

2617

128086271.3

166666.7

*+"

16742.7

248097864.7

3693812.4

24937.4

h

I' = bh312

"#R$

 *,LL / /, N,+/R#L #I*  C = Σ(  @ % )   = !C

Σ 

= =

148.946 170.04

>> >>

 "",N/ 5 IN,R/I#  I #

I( )

+ , -!

$% # I / C # 1916"5.6 

#

!"505990.1 4 $& # I / G #

16'6150."



PROGRAM NAME : STIFFENER

DOC. NO.: REV. NO.:

VERSION

PAGE NO.:

: 0.1

D3!00015!010 /

CALCULATION OF STIFFENER RING

* DESIGN DATA CNDI/IN



(CRRD,D CNDI/IN)

+/*ID, 5 *,LL *,LL /$(CRRD,D)

D = t =

4540 19

"" ""

L = 0.78*?R.(R>  t1)

L

=

161.6

""



=

69

""

2 

 G

!  

! ! 1

C

1 1

2! L

L 21

(unit  "") 9.

b1 =

33.3

t1 =

19

y1 =

b2 =

0

t2 =

!0

y2 =

179

b3 =

50

t3 =

0

y3 =

34

"#R$



y

1

6712.7

2

9600

3 *+"

1000 26812.7

34

2

2

y

h

h

h

9.

63770.4

196

3828

2681187.3

201939.

179

1718400

26

681

63789.3

81920000

3717000 499170.4

149

22172

23281032.4 49619817.0

78700.0 82909439.

 *,LL / /, N,+/R#L #I*  C =

Σ(

@%)

Σ 

 = !C

=

20

""

=

164

""

#

5'9069!5'

MM4

*** MOMENT OF INERTIA *** I #

I( )

+ , -!

$% # I / C #

$& # I / G !"!406.5

(unit  "") I'=bh312

MM

#

5!9''.!

MM


D3!00015!010

REV. NO.:

: 0.1

PAGE NO.:

/

CALCULATION OF STIFFENER RING * DESIGN DATA CNDI/IN +/*ID, 5 *,LL *,LL /$(CRRD,D) L = 0.78*?R.(R>  t1)

 D t L 

(CRRD,D CNDI/IN) ''4 "" 14 "" 56.9 "" 64.0 ""

= = = =

 t2

 2 y2 C

t1

1 y1 L

b1 = b2 =

b2 b1

126.8 1

L

t1 = t2 =

14 50

y1 = y2 =

(unit  "") 7 39 (unit  "")

"#R$ 1 2 *+"

 177.0 60 242.0

y 7 39

y 12424.8 230 37774.8

h 9 23

h2 74 49

= =

16 48

"" ""

#

65159'.'

MM4

h2 13088.4 36601.4 487189.8

 *,LL / /, N,+/R#L #I*  C = Σ(  @ % ) Σ  = !C *** MOMENT OF INERTIA *** I #

I( )

+ , -!

$% # I / C #

$& # I / G 41"!9.6

MM

#

1456.5

MM

I' = bh312 28991.2 13416.7 164407.9

Saddle Calc

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