determinacion-ciclo-termico

7/23/2019 DETERMINACION-CICLO-TERMICO

http://slidepdf.com/reader/full/determinacion-ciclo-termico 1/21

ÍNDICE1. TEMA...........................................................................................................1

2. MARCO TEORICO........................................................................................1

3. CONCLUSIONES..........................................................................................1

4. ANEXOS.......................................................................................................1

1. TEMADETERMINACIÓN DEL CICLO TERMICO DE SODADURA

2. OBJETIVOS

Calcular el ciclo térmico de soldadura de los materiales acero

AISI 100! AISI 10"#! Alumi$io! media$te las tem%eraturas e$&u$ci'$ de los radios co$ sus res%ecti(as )r*+cas.

3. CALCULOS Y RESULTADOS

3.1. Determi$ar el ciclo térmico de soldadura! reali,ar la )ra+cas T-t del %roceso de soldadura resulta$te de reali,ar la si)uie$te u$ta soldada.Datos:Material Acero 10"#Electrodo E011 de 1/

I2 10# A(2 " mm/s To23004Ce2 mm523 56roceso SMA7$20!Acero al car8o$o92"1:2;!1<10=-c%2"!#<10=- ꝭ

Sol!"#$:q

v=nVI

v

1



q

v=

0,8(28)(105)0,004

q

v=588000 s /m

d' =[

q

v

2 ꝭ cp∗( 1

773−¿+

1

1073−¿ )]1

2

d' =[ 588000

2∗4,5 x10−6∗( 1

773−473+

1

1073−473 )]1

2

d'

=0,001807 m

d' =18,07mm

d' >e

18,07mm>6mm Placa fina

T =¿+qv

d (4 πk ꝭ cpt )1

2

∗e−r

2

4αt

D%t%&'"$a!"#$ (% las t%')%&at&as:

3



*"+&a 1. Dia)rama >e- C. >ue$te?

T ,-C T ,-/ 0ONASL @o$$a Com%uesta L 1#03! 1#! @o$a %arcialme$te

&u$didaL 1";B 1 1"B;!B 113!B

@AT*% B!1B 10#!1B) 3B ;; Metal 8ase $o &u$dido

Tala 1. Tem%eraturas de las di&ere$tes ,o$as. >ue$te. 6ro%ia

t(s)

T(°K)

r1 r2 r3 r4 r5

0!00"0""

0!00"01;;

0!00"3#001

0!00"1

0!00;;1

0!001 "B!00 "B!00 "B!00 "B!00 "B!000!00B "B!00 "B!00 "B!00 "B!00 "B!000!00 "B!00 "B!00 "B!00 "B!00 "B!00

B



0!00; "B!00 "B!00 "B!00 "B!00 "B!000!01 "B!00 "B!00 "B!00 "B!00 "B!000!0B "B!00 "B!00 "B!00 "B!00 "B!000!0 "#!## ""!" ";!"3 "B!00 "B!000!0; #1;!0 #1#!;; #00!B# "B!00 "B!00

0!1 #"#!01 #"0! #1!0B "B!00 "B!000!B 1B0"!11 13!00 11B!B "!"0 "B!"0! 1#B!B# 1"1!; 10!B1 #;"!3 #3"!#"0!; 1#!3 1!3 10;!0 1!3 #0!0#

1 11! 1B!0 113!13 33!" 10!0#B 1""!B 1"3!#B 1"!;3 10#!1 ;#1!0 11;"!"" 11;B!; 11;!3 10"3!; ;;!33; 111!B; 111!;" 111#!0B 1010!3; ;#!0

10 10!BB 10!;# 10#!"# ;;"!# ;"!"3B0 B;!0 B!;; B!"; 1;!" 13!B

0 1"!1 1"! 1"!#" 0;!0 0!0;0 !" !"# !B 3!#; 1!30

100 #!1 #!0 #!#3 3!B0 1!11B00 #;0!BB #;0!BB #;0!B1 #;!; #;!"#00 #";! #";! #";! #";!0 #";!B;00 #"0!1 #"0!1 #"0!1 #"0! #"0!"

1000 #B!BB #B!BB #B!BB #B!3B #B!1;B000 #10!1# #10!1# #10!1# #10!1B #10!1B000 ";!B3 ";!B3 ";!B3 ";!B3 ";!B3;000 ";"!"# ";"!"# ";"!"# ";"!"# ";"!"#

Ma< 1#!3 1!3 113!13 10#!1 ;;!33

Tala 2. Tem%eraturas 49 (s tiem%o s a di&ere$tes dista$cias r.>ue$te %ro%ia

t(s)

T(°C)

r1 r2 r3 r4 r5

0!00"0""

0!00"01;;

0!00"3#001

0!00"1

0!00;;1

0!001 300!00 300!00 300!00 300!00 300!000!00B 300!00 300!00 300!00 300!00 300!00

0!00 300!00 300!00 300!00 300!00 300!000!00; 300!00 300!00 300!00 300!00 300!000!01 300!00 300!00 300!00 300!00 300!000!0B 300!00 300!00 300!00 300!00 300!000!0 313!## 311!" 30!"3 300!00 300!000!0; 3"!0 3"3!;; 33!B# 300!00 300!00

0!1 33!01 3! 3"#!0B 300!00 300!00

"



0!B 10B1!11 101"!00 ;10!B 30B!"0 300!"0! 1"0!B# 1"!; 1B;!B1 B31!3 3#1!#"0!; 1#03!3 1";B!3 1"B!0 "0!3 B0!0#

1 1";! 1";0!0 1"B;!13 "";!" BB!0#B 1311!B 130;!#B 11;#!;3 B!1 !0

;31!"" ;30!; ;1!3 ;!; 3B!33; "#!B; ""!;" "3!0B B!3; 03!0

10 1#!BB 1"!;# 13!"# 31!# ;1!"3B0 #!0 ##!;; ##!"; #"!" #B;!B0 ""1!1 ""1! ""1!#" "B!0 "B"!0;0 "1B!" "1B!"# "1B!B "0;!#; "0!30

100 "03!1 "03!0 "03!#3 B;;!B0 B;!11B00 B1!BB B1!BB B1!B1 B1!; B1!"#00 3! 3! 3! 3!0 3!B;00 3!1 3!1 3!1 3! 3!"

1000 3"!BB 3"!BB 3"!BB 3"!3B 3"!1;B000 3B!1# 3B!1# 3B!1# 3B!1B 3B!1B000 33"!B3 33"!B3 33"!B3 33"!B3 33"!B3;000 331!"# 331!"# 331!"# 331!"# 331!"#

Ma< 1#03!3 1";B!3 1"B;!13 B!1 3B!33

Tala 3. Tem%eraturas 4C (s tiem%o s a di&ere$tes dista$cias r.>ue$te %ro%ia

0 0.01 0.1 1 10 100 1000 100000.00

300.00

"00.00

00.00

00.00

1000.00

1300.00

1"00.00100.00

*"+&a 2. Dia)rama T t. *ue$te %ro%ia

#



*"+&a 3. Dia)rama CCT del acero AISI 10"# mo$tado so8re eldia)rama T t. *ue$te %ro%ia.



*"+&a 4. Dia)rama CCT del acero AISI 10"# mo$tado so8re eldia)rama >e- C. *ue$te %ro%ia.

B.3 Determi$ar el ciclo térmico de soldadura! reali,ar los )r*+costem%eratura tiem%o del %roceso de soldadura resulta$te dereali,ar la si)uie$te u$ta soldada

ACERO 100Es%esor2 mmElectrodo 01 1/52 "mm/se) T2 "004C B4>

011

8 Ai 100 - 1"0 2 A 2 130

B.3mm



q

v=n.Vo. I

V =

(0.8)(28)(120)

4∗10−3

=672000

δ F ¿

(

q

2 Pρc

∗

(

1

773−673

+ 1

1073−673

))

1 /2

δ F ¿( 672000

2(4.5∗106)∗( 1

773−673+

1

1073−673 ))1/2

δ F ¿0.030m[1000mm

1m ]=30mm

e>δ F

e=6>δ ' =30

T =T 0+ q /v

d (4 π ∗ K ∗ Pρc∗t )1/2 exp(−r

2

4 αt )



*"+&a 5. Dia)rama >e- C. >ue$te?

;



723→101

x →105

1= x=751.6 ° →1024 ° K

723→101

x→197

2= x=1410.2 ° →1683.2 ° K

723→101

x→206

3= x=1474.6°→1747.6° K

To B 4GH/( 3000 /m

d 0!00 mG "1c% "#0000

0: 0!00000

;1

*ASES T -C T -/ 0ONAS

LIJUIDO,o$a com%uesta

LIJUIDO KAUSTENITA 1""! 1"!

,o$a %arcialme$te&u$dida

AUSTENITA 1"10!3 1B!3 @ATAL>AKAUSTENITA #1! 103" @AT

6ERLITA 3B ;;metal 8ase $o &u$dido

Tala 1. Tem%eraturas de las di&ere$tes ,o$as. >ue$te. 6ro%ia

10



T94G r1 r3 rB r" r#

t s 0!00#B 0!00# 0!01" 0!00 0!000!001 B B - B B0!00B B B B B B

0!00 B B B B B0!00; B B B B B

0!1!3

1#"!BB"

1" BB!BB

113B!010

";"

0!B;;!B#0

#";1B!"3"

BBB BB0!30B

"#30!0

#

0!1#;!3

1;31"#!0;

0B!03

"#1B";!;0

3#10;!"1

##1

0!;11B!3

111"!"#

;B!

31";0!1B

;011333!#0

;

1

1"!3B

B3

1##!

0B

"!"B

01

1#B!3"

0#

13!"0

#"

B111!B

"#10!B

"#!"1

B1B!1

"1#B0!"3

;1

1"0!B;

"B11"#0!B#

"1;!;B

1;#1"B!B3

"#1B;!B

B

;1B"!B

;1B!#

;101"!1

3B"1B!

111B"0!B

B;

101B#B!;B

111B"!"

30#103"!B#

#1BB;!3;

#1#1B1#!;3

11;

B010!

#310#!#

111100"!;

;B"10B!;0

1310;!0B

;""

0;"!;#

"13;"!13

;#;3B!1#

BB;"!11B

333;"#!1

B;1

0;B0!#1

3";B0!33

30;10!11

0#;3;!3

B;3!1

03

100;0B!1"

03;0B!0

B";!0B

1;0B!B1B

31;03!";3

3"

B000!;"

1#B0!;0

0#B0"!03

31B0!#1

130!;1

;B

000!1

30!0

B#;#;!;;3

"";0!;1

B30!"

#;

00 ##!1#13" ##!1"; #"!"1"1# ##!1B#13 ##!0;;1#

1000"!";

B"!";3

0B#"!01B

;B"!"3

;"!"#

"B3

B0001#!"#

3;31#!"##

0311#!B3

#1#!"#B

311#!""

1"

00000!;

3#B00!;

;00!1

;;00!;

B;00!;#

;3

11



10000;!3#

"#;!3#

3";!3"B

03;!3#

;#1;!3#

13

MA1"!3B

B310!B

"#103"!B#

#


0 0.01 0.1 1 10 100 1000 10000

0

300

"00

00

00

1000

1300

1"00100

100

3000

DIA6RAMA T7t

r1

r3

rB

*"+&a 8. Dia)rama T t. >ue$te %ro%ia

T C4C r1 r3 rB r" r#

t s 0!00#B 0!00# 0!01" 0!00 0!000!00

1 "00 "00 - B B0!00

B "00 "00 "00 B B0!00

"00 "00 "00 B B0!00

; "00 "00 "00 B B

0!1"0B!3"#

B""01!BB"

1" "00B!BB1

13B!010"

;"

13



0!B3"!3"0

"0!"3"B

BB "00B0!30B"

#30!0

#

0!1B3B!1

B;1313!0;0

"00!03"

#1B";!;03

#10;!"1#

#1

0!;

1""0!1;

1;

1B"1!"#

;

"00!3

1";0!1B;

01

1333!#0

;

11"#!1"

11B3!0

B"01!"B

011#B!3"0

#13!"0

#"

B1"B!BB

1"0!B"

##1"!"1B

1B!1

"1#B0!"3;

1

11!B#

B111!B#"

10#!;B1

;#1"B!B3

"#1B;!BB

;1111!B0

#110"!#;

"1!13B

B1B!1

11B"0!B

B;

10100!;3#

"10"!"3

0##1!B##

;1BB;!3;#

1#1B1#!;31

1;

B01B!"

1#13!#11

0;B1!;;B

B10B!;01

310;!0B;

""

0"!;#0

;"!13

;##0!1#B

B;"!11B3

33;"#!1B

;1

0#!#0;

3#!333

0B!110

#;3;!3

B;3!1

03

100B0!1""

1B0!0B

"1!0B

1;0B!B1B

31;03!";3

3"

B00#BB!;"1

1#BB!;00

#B#B1!033

1B0!#11

30!;1;

B

00"!1

1"!0B

#;"!;;3"

";0!;1B

30!"#

;

00"3!1#1

1 "3!1";"1!"1"

1###!1B#

13##!0;;1

#1000

"B!";B1

"B!";30B#

"B!01B;B

"!"3;

"!"#"B3

B000

""3!"#3;1

""3!"##031

""3!B3#

1#!"#B31

1#!""1"

000

"3!;3#B

"3!;;

"3!1;;

00!;B;

00!;#;3

100

00

"3B!3#"

#

"3B!3#3

"

"3B!3"B0

3

;!3#;

#1

;!3#1

3

ma<1"#!1"

11"0!B"

##1!B##

;

Tala 8. Tem%eraturas 4C (s tiem%o s a di&ere$tes dista$cias r.>ue$te %ro%ia

1B



0 0.01 0.1 1 10 100 1000 100000

300

"00

00

00

1000

1300

1"00

100

*"+&a 9. Dia)rama CCT del acero AISI 100 mo$tado so8re eldia)rama T t. >ue$te

%ro%ia.

1"



*"+&a . Dia)rama CCT del acero AISI 100 mo$tado so8re eldia)rama >e- C. *ue$te %ro%ia.

3.3 ;a&a $a )la!a (% al'"$"o (% '' %l%!t&o(o (% 1<

ALUMINIOEs%esor 2 mmElectrodo MA7 MI 1/52 "mm/se) T2 304C 3;B 4>

Ai 130 - 1#0 2 A 2 1B#

qv=n .Vo . I

V = (0.705)(22)(135)

4∗10−3 =523462.5

δ F ¿( q

2 Pρc∗( 1

773−293+

1

1073−293 ))1 /2

1#



δ F ¿( 523462.52(2.7∗106)∗( 1

773−293+

1

1073−293 ))1 /2

δ

F ¿0.01806m

[1000mm

1m

]=18mm

e<δ F

e=8<δ ' =18

Tala 1

*%$t%:tt%?//.eldi$)ire.com/Ima)es/I$terior/docume$tli8rarP/alumi$u

mQ30eldi$)Q30Q308ra,i$)Q30alloPs.%d&

To 3;B 4GH/( #3B"3!

# /m

d 0!00 mG 33;c% 30000

1



0: !#0E-

0#

T ,/

4G &1 &2 &3 &4 &5t ,s =>==84 =>==58 =>=184 =>==8 =>==9=>==

1 3;B 3;B - 3;B 3;B=>==

3 3;B 3;B 3;B 3;B 3;B=>==

93;B!0003

;3;B!01

BB 3;B3;B!003B

;3;B!0000

1=>==

?3;B!0130

""3;B!3"

1 3;B3;B!00;

0#3;B!000

1

=>1;;!;B

;#133!B1

3;B!1

B1110!B3B

#""!#;

;

=>3 1300!013;!#;

B;0!0"#1

113"#!31

#11B1!BB;

B

=>910B;!;

3100!1;

0#;!1

B10##!0#

31101#!1

3

=>?;!"#0

;;;!31;

B1!;3##

##;!B""

;;#;!0B3

3

1;#1!03

1;;!;300

B3;!#

#B;0!"#

0;;B#!;

B;

3

0"!10B

0!0B1

"

33!3"

#

0!10

01!"3

19

#!BB"#

#;!;;

#"B!#;33;

#;!B#3

#!#BB

?#B!1";;

13#B!;1;

;##1;!31B

03#B!#"#;

B#B!#0;B

3

1=#3"!;B11

##3#!#

#0;!;

###3#!3;

1#3"!BB"

1"

3="3!;#1

;"3!1133

1"3#!001

"B"3!0#0

3"3!

B3

9=B1!#1#

B3B1!03

3B0!31

B1!#;;

;1B1!#"1

3

=

B#!;

0#

B#!;1

##

B#!13

""

B#!"0

1

B#!"""

1

1==B!1"3#

3B!1B"

3B!"0

#B!1#BB

"3B!13";

;

3==BB#!"0#

;BB#!""

3;BB#!"";

#BBB#!"3

BB#!B3

31

9==B31!0#31

;B31!0#BB

31B31!03#B

B3B31!0#3

"B31!0#13

"3== B1;!3"0; B1;!3"1; B1;!31;0 B1;!3"1" B1;!3"03

1



# 11 01 " 11===

B1!"1B#

B1!"303

B1!"##3# B1!"1

B1!"00B

3===

B0!##33B

B0!##3"1

B0!#";3#"

B0!##3B";

B0!##31

9===

B01!33##

B01!33;1

B01!1"0

B01!33"

B01!333#

1==== B00!"3B1

B00!"3B131

B00!"3303

B00!"3B111

B00!"3B03

MA 1300!0


0 0.01 0.1 1 10 100 1000 100000

300

"00

00

00

1000

1300

1"00

DIA6RAMA T7t

r1

*"+&a ?. Dia)rama T t. >ue$te %ro%ia

T ,C

4C &1 &2 &3 &4 &5t ,s =>==53 =>==58 =>=184 =>==8 =>==9=>==

1 30 30 - 3;B 3;B=>==

3 30 30 30 3;B 3;B=>==

930!0003;

30!01B

B3 303;B!003B

;3;B!0000

1

1



=>==?

30!01303B

30!3"0;; 30

3;B!00;0#

3;B!0001

=>13B!0;"

;;#B!B1

#30!1B

0110!B3B

#""!#;

;

=>3;3!0";3

3;101!#;

11!0"#1

113"#!31

#11B1!BB;

B

=>9!;3;

";!1;0

B0!1

B10##!0#

31101#!1

3

=>?0"!""1B

3!31;

BB""!;3##

##;!B""

;;#;!0B3

3

1!00

1;!;300

BB#!#

#B;0!"#

0;;B#!;

B;

3"B1!0

#3"B#!0B1

"B";!3"

#0!10

01!"3

1

93;#!3

#B3;!;

;30!#;33

;#;!B#

3#!#BB

?3"!1";#

B3"!;1;

;#3"!31B

03#B!#"#;

B#B!#0;B

3

1=3#1!;B0

3#3!#

3B!;

###3#!3;

1#3"!BB"

1"

3=1#"!;#1

3B1##!1133

11#3!001

"B"3!0#0

3"3!

B3

9=10!#1#

110!03

310!31

B1!#;;

;1B1!#"1

3

=103!

;B103!;1

##103!13

""B#!"0

1B#!"""

1

1==;"!1"3#1

";"!1B"

1;B!"0#

01B!1#BB

"3B!13";

;

3==

3!"0#;

#"

3!""3

;1

3!"";#

3

BB#!"3

BB#!B3

31

9=="!0#31

;""!0#BB3

1B"!03#BB

3B31!0#3

"B31!0#13

"3

=="!3"0;

";"!3"1;1

1""!31;00

0B1;!3"1"

"B1;!3"03

11==

="B!"1B#

B"B!"303

0B"B!"##3

"; B1!"1B1!"0

0B3==

=BB!##33

3;BB!##3"1

0#BB!#";3#

"3B0!##3B

";B0!##31

9==

=3!33#

#B3!33;

113!1"0

##B01!33

"B01!33

3#1==

==

3!"3B0;

;

3!"3B13

0

3!"330

3

B00!"3B1

11

B00!"3B0

3

ma<;3!0";3

3;

Tala . Tem%eraturas 4C (s tiem%o s a di&ere$tes dista$cias r.>ue$te %ro%ia

1;



0 0.01 0.1 1 10 100 1000 100000

100

300

B00

"00

#00

00

00

00

;00

1000

ALUMINIO -C

*"+&a 1=. Dia)rama CCT del Alumi$io

4. CONCLUSIONES• Ide$ti+camos las &ases e$ el dia)rama >e- C de los materiales

me$cio$ados.• Determi$amos las tem%eraturas e$ las di&ere$tes &ases.• 6ara (er las &ases se utili,' las tem%eraturas m*<imas de las

ta8las de cada material.

5. ANEXOS

6roceso η

SMA7 0. - 0.#

TA7 ar)'$ 0.33 - 0."

MA7 ar)'$ 0. - 0.#

30



SA7 0.;0 - 0.;;

Tala ?. Ta8la %ara el (alor de $.

Material Calor

es%ec+co(olumétrico

rc p(J m-3 K -1 )

Di&usi(idad

térmica

a m2 s-1 )

Co$ducti(ida

d térmica

k (J m-1 s-1 K -

1 )

Tem%eratura

de &usi'$

(K)

Alumi$io 3. < 10 .#10 <10-#

33;.0 ;BB

Acero al

car8o$o

".#< 10 ;.1 < 10- "1.0 100

Acero ; QNi

B.3 < 10 1.1 < 10-# B#.3 1B

Aceroauste$tico

". < 10 #.B < 10- 3".; 1B

I$co$el00

B.; < 10 ". < 10- 1.B 1B

Aleaci'$de tita$io

B.0 < 10 ;.0 < 10- 3.0 1;3B

Co8re ".0 < 10 ;. < 10-# B".0 1BB

Mo$el "00 "." < 10 .0 < 10- B#.3 1#B

Tala 1=. Ta8la %ara determi$ar el (alor del calor es%eci+co!di&usi(idad P co$ducti(idad de &usi'$.

31

determinacion-ciclo-termico

Documents