taller lineas de fluencia

7/24/2019 Taller Lineas de Fluencia

1/21

TALLER LINEAS DE FLUENCIA

JONATAN CAMILO LPEZ MOLINA - 215321

CRISTHIAN FIGUEROA CORTS - 225388


2/21

- A+&'*"*'$ +r%*('*" ,& 4(o,o , Cro!! $ &" ,(r4'$"*'$ ,r"**'o$! $ & +)$( "$( *"r6"! )$'("r'"!

- D(r4'$"r &"! &7$"! , )$*'" +"r" ,'fr$(! +)$(o! $ &+)$(9

- E!(":&*r &"! &7$"! , *"r6" ,o$, ! o:($,r7"$ &o! 4%;'4o! ) ($7" *","!**'$ ,& +)$( " ="&)"r! ",'*'o$"&4$( ! ,(r4'$ >) &"*"r6" )$'("r'" P " "+&'*"r! $ & (":&ro ,& +)$( ?!**'$ 1-5@ !="&)"r7" *"," B 18 4 , ,'!("$*'" !(o! ="&or! ! r+r!$("$ $&" 6)r" 19


3/21

*"&*)&"$ &o! f"*(or! , ,'!(r':)*'$ +"r" *"," ;(r4o , *","&4$(o "*'$,o

FD= kij

ki

T$'$,o $ *)$(" >) & f"*(or , ,'!(r':)*'$ $ 4+o(r"4'$(o! $o!(% ,$',o ?! +), (o4"r *o4o @9 D !" 4"$r" ! o:('$ &o!'6)'$(

='6"I 1152E 28EI 3225K

+'&"!

I 12KE 28EI 3K288

rigidezsecciones

EI/L

factor dedistribucin

1--2 12K15385 12--1 12K15385 11K58K52--K K2233K58 582188882--3 3225K 3152K3--2 3225K 23521183-- 25K 5211K53-- 3225K 2352118--3 3225K 3152K--8 K2233K58 58218888--5 12K15385 11K58K5


4/21

,'!(r':)*'o$! , Cro!! +"r" *"," *"r6" +)$()"& "+&'*"," *o4o !"+r*'" $ &"! 6)r"! 2359?ANEO@ Do$, ! r"&' &" ,'!(r':)*'$

+"r" )$" *"r6" )$'("r'" "*()"$( " )$" ,'!("$*'" , 18 4 ,& "+o


5/21

K

53

52 2 2

15

2582 1 1

11

2 123

21

-31

13

-21

K3

1518

5K8

-13

-38

25

1238

12

22 1221

38

-1

13

-3

8831

5128

52

-13

-3

2

3K

1

13

23 K1

1

-

2

-1

8

18

2

-2

-21

1358

1KK1

8

1

25 2332

KK

-

131

-K

KK

11

38

-31

-K3

KK

22

3

15

2-

25

-2

2

38

82

-383

-K

-3

5K1

2

-5

-51

55K

1

K

2-

K

1

-5

3

5

3

35

5

5

3

-35

8

-51

8

-K

K5

5

-138

8

-28

1

1KK

1

31-

51K

-5

25

233

25

2

-38

-3

-K

5KK

8

-135

1

-3

2138

2

18

32-

3

-3

53

522

13

5

-23

K

-22

K

-K

-22

1

-1

-K1

K

K

1 3

-

1218

-

1 1 12K 1

-

12

-

13

-

21

-

12K

-

83

-

23 222

3K


6/21

K 1 8 2 8 3

28 5

-

1

-

2 2 1K1 2

-

1K3

-

1

-

28

-

1K1

-

5

-

381 38

2

52-

23

-

3

32

3

-2

3

-2

-3

5

-2

-

1

-

35

3

5-

2K

-

3

322

5

3

-22

8

-2

8

-

-22

5

-8

-53

3K1

3

31

5K -282

-3

3

238

3

-21

-2

-2

-238

-8

-5K

K8

32

58-

28

-

3

32

3

-2

3

-2

K

-

2

-2

-8

5

-5K

8K5

3

33

5-

2

-

3

323

2

3

-23

5

-28

K

-

1

-23

2

-8

2

-5

8K3

3

K1-

25

-

3

321

5

3

-21

8

-2K

5

-3

8

-21

5

-

K

-5

858

35

K3-

225

-

3

31

3

-1

3

-23

5

-3

-1

-K

-5

151

8

3K

K5-

18

-

2

2

1K

2

-1K

2

-1

-2

8

-1K

-5

-3

8

3

53

K-

1

-

2

212

2

-12

K

-15

3

-2

2

-12

-

-2

33

8


7/21

P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ &o! !64$(o! 2-3 < -59

1 2 3 5 K

-9K

-91

9

9

19

Mo,ento en 6

4o4$(o $ K

Mo,ento en "

,",o >) & $),o 2 !'4+r >)," $ >)'&':r'o ! r"&'" )$" &7$" ,'$)$*'" +"r" 2-1 )$" +"r" 2-K < o(r" +"r" 2-3 "& '6)"& >) +"r" &4o4$(o $ K &o! ="&or! , &"! &7$"! !r%$ &"! !)4"(or'"! , &"*o&)4$" *orr!+o$,'$(9


8/21

1 2 3 5 K 8

-5

-

-3

-2

-1

1

Mo,ento "%!

Mo4$(o 2-1

Mo,ento "%6+P"r" 6$r"r & 4%;'4o f*(o &" &7$" , *"r6" 'r" $ &o! !64$(o! 1-2< 3-9P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ &o! !64$(o! 2-3 < -59

3

395

Mo,ento "%6


9/21

1 2 3 5 K 8

-9

-92

929

9K

98

1

192

19

19K

Mo,ento "%$

Mo4$(o 2-3

Mo,ento a L!%"/" de !+P"r" "&&"r &o! ="&or! , &" &7$" $ *"," +)$(o ! r"&'" )$ *or( $ &"4'(", , 1-2 < ! "* >)'&':r'o $ ! +)$(o ($'$,o $ *)$(" &&",o '>)'r,o ,& *or(9P"r" 6$r"r & 4%;'4o f*(o &" &7$" , *"r6" 'r" $ &o! !64$(o! 1-2< 3-9P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ &o! !64$(o! 2-3 < -59

12

Mo,ento a !%"/"


10/21

P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ &o! !64$(o! 1-2 < 3-9

1 2 3 5 K 8

-192

-1

-98

-9K

-9

-92

92

(ortante "i

Cor("$( 2'

(ortante en " a derec.a+&o! ="&or! , &" &7$" !r%$ '6)"&! " &"! r"**'o$! , 2-39P"r" 6$r"r & 4%;'4o f*(o &" &7$" , *"r6" 'r" $ &o! !64$(o! 1-2 2-3 < -59

P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ & !64$(o 3-9

( t t "d


11/21

+"r" "&&"r &o! ="&or! , &" &7$" $ *"," +)$(o ! r"&'" )$ *or( $ &"4'(", , 1-2 < ! "* >)'&':r'o $ ! +)$(o ($'$,o $ *)$(" &

&",o '>)'r,o ,& *or(9 Lo! ="&or! !r%$ &o! *or("$(! $ ! +)$(o9P"r" 6$r"r & 4%;'4o f*(o &" &7$" , *"r6" 'r" $ &o! !64$(o! 1-4'(",12 2-3 < -59P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ &o! !64$(o! 4'(",12-2 < 3-9

1 2 3 5 K 8

-98

-9K

-9

-92

92

9(ortante a !%"/"

Cor("$( " 1-22

(ortante a L"%$/" de "+P"r" "&&"r &o! ="&or! , &" &7$" $ *"," +)$(o ! r"&'" )$ *or( $ &"4'(", , 2-3 < ! "* >)'&':r'o $ ! +)$(o ($'$,o $ *)$(" &


12/21

1 2 3 5 K 8

-9

-92

92

9

9K

98

(ortante a "%$/"

Cor("$( " 2-32

(arga ertica0 en 6+P"r" "&&"r &o! ="&or! , &" &7$" $ *"," +)$(o ! r"&'" &" ="&)"*'$, &"! *"r6"! $ & $),o 2 , 4"$r" >) +or !)4"(or'" , f)r"! $

< ! ,(r4'$" &" *"r6" =r('*"& $ K9P"r" 6$r"r & 4%;'4o f*(o &" &7$" , *"r6" 'r" $ &o! !64$(o! 1-29P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,


13/21

1 2 3 5 K 89

29

9

K9

89

19

129

V6

K

A1ia0 en 6+P"r" "&&"r &o! ="&or! , &" &7$" $ *"," +)$(o ! r"&'" &" ="&)"*'$, &"! *"r6"! $ (o,o & +)$( )$ = ,(r4'$","! &"! *"r6"! $ *","!**'$ ! +ro*, " r"&'"r )$" ="&)"*'$ , (r"$!fr$*'" , *"r6"!+or &o! ,'fr$(! $),o! , &" !(r)*()r" "!(" &&6"r "& $),o 2 ,o$, !,$$ &"! *"r6"! ; < < >) ! (r"$!r$ " &" !**'$ '$*&'$"," K-2*o$!("! *"r6"! ! r"&'" )$ "$%&'!'! +or 4,'o , &" 4"(r' ,(r"$!for4"*'$ >) $o! ,$ &"! *"r6"! *or("$(! < ";'"&! $ &


14/21

1 2 3 5 K 8

-9K

-9

-92

9

92

9

9K

98

19

192

A#IAL 6

AIAL K

eaccin en !+P"r" "&&"r &o! ="&or! , &" &7$" $ *"," +)$(o ! r"&'" &" ="&)"*'$, &"! r"**'o$! $ *"," ,'!(r':)*'$ , Cro!! +"r" &" !**'$ 1-2P"r" 6$r"r & 4%;'4o f*(o &" &7$" , *"r6" 'r" $ &o! !64$(o! ,1-29P"r" 6$r"r & 47$'4o f*(o ?4%;'4o f*(o $6"('=o@ &" &7$" ,*"r6" 'r" $ &o! !64$(o! 2-3 $ ",&"$( $ )$" 4)< 4$or

+ro+or*'$ *o$ r!+*(o " &o! 4%;'4o! f*(o!9

i !


15/21

CONCLUCIONES

M,'"$( &" "+&'*"*'$ ,& 4(o,o , ,'!(r':)*'$ , 4o4$(o! o4(o,o , Cro!! +"r" &"! *"r6"! )$'("r'"! " ,'fr$(! ,'!("$*'"! !&o6r ,(r4'$"r , for4" *&"r" &o! ="&or! , &o! 4o4$(o! $ *","!**'$ &o *)"& +r4'(' 6$r"r +or "$%&'!'! &"! r"**'o$! $ &o!

,'fr$(! "+o


16/21


17/21

ANE#O

%ra&co 2. 'istribucin de (omentos para carga a 1)* m

6%%" !%%" "%%! "%%6 "%%$ $%%" $%%2 $%%3 3%%$ 3%%4 3%%5 5%%3 $%%2 4%%3

!7!!654

635754"!44

447$!25"

347"$5"8

3!75"83!

!267"$5"83

!"7$!25"

34754"!4

487!!654

63!

!7558$86

35

%7!!5844

!2

-1553K

5

-K82

2

2K233

51K

135218

52158KK

2255

135138

-

51K

-

2588

-

1588K

-

311

-

1535

-

3113

-

15885K

-

3518

1212K

23K5

8K132

23851

12K33

K31

238

2

325K

1851

2258

K28

-

23K5

-12153

3

-125

-251

-K15

K

-2513

-125

-

K12

-22

K

-23

8

K5235

13

2K

13KK

23338

1

2235

88K5

125

88K28E-

5

32

-

13

-K522E-5

-KK1E-

5

-132

3

-2

8

-1323

5

-KK13E-5

-31E-

5-8K2E-

5

-18

381E-51522K3E-

5K38E-5

3588E-5

1E-5

1K3E-

5328E-

5K3KE-

512K8E-

5K33KE-

K

3182E-5

-8538E-

K-121E-

5-85383E-

K-2K1E-

K -3118E-

K-K3E-

K-KKE-

K 2253E-

K332E-

K8K358E-

31E-

21KKE-K

-318E-


18/21

23K1282

-

8138KK1

5225K5

2KKK3K

182K-

KK2

-3138

-11133

118K

1523K

-

382381

58

%ra&co +. 'istribucin de (omentos para carga a 2, m

6%%" !%%" "%%! "%%6 "%%$ $%%" $%%2 $%%3 3%%$ 3%%4 3%%5 5%%3 $%%2 4%%3

! 7!!66 754"!8 7$!25 7"$5"8 75"83! 7"$5"8 7$!25 754"!8 7!!66 !

74! %78

-2358K5

-35

1

-5

2

-152

3

-215

5

-1222

5

35

123518

K

2K5853

31

1123K3

31

2K5853

5K131

-118K

-28125

-5K25

-28213

3

-1K2525

-312K

3

-3KK5

-5335

1

-1538

-285

-18

5

-2K

2

28125

1K2

5

1335

2KK

1

58K55

K

2KK1

133

5

23

K

18

52

232

8 -

88

-152

-318

8

-155

K

-81KK

8

-88

3

-355

2-K11

-1185

8

-2353

5

-11K

-52

152

8K21E-

5

825E-5

1K8185

382

1K8185

825E-5

5883KE-

511K

182

1

-3K5E-5

-221E-K

-1888E-5

-35E-5

-5E-5

-255E-5-215KKE-

5-312E-

5-83212E-

5-1K588E-

5-821E-

K

-1KKE-5

221E-

K

185E-5

213E-5

185E-5

52522E-K

15E-

K82E-

K122E-

5

-28885E- -552E- -111E- -555E- -28KE-


19/21

K K K K

5552E-

-253 -8 -51K 5K -1K2 118K1 8K2 181 -158 -23K 531 -

%ra&co 4. 'istribucin de (omentos para carga a +,)* m

6%%" !%%" "%%! "%%6 "%%$ $%%" $%%2 $%%3 3%%$ 3%%4 3%%5 5%%3 $%%2 4%%3

!7!!654

63754"!44

447$!25"

3267"$5"83

!"75"83!!

267"$5"83!

!47$!25"3

26754"!444

47!!6546

35!

!7"!$" %7"6564

-1235

-28811

8

-K5

K

-28811

K

-1235

-32388

2

111

82K282

1K525KK

828821

2KK13

21833K

K15K815

512313K3

12351

53K11

23K8K

11888

-

82K282

-131

1

-

-1515

3

-3K8

-15153

2

-

-1183

-23K8K

-2182

2

K85

8K3

1K13

83K5

151

251

32K55

KK5211

11125815

K525812 125K

K28

-

8K3

-33

-K33

K

-12K

2

-283K

K

-12K2

1

-K33

K

-K23

-125K

-1183

1

31

58K5E-5

11

K1825

3113

155K

1813

2132

3153

12K55E-

5

3KK2

-58K5E- -23E- -KK8E- -81335E- -183 -81335E- -KK8E- -3K828E- -2K55E- -152E-


20/21

5 5 5 5 5 5 5 5 5

25KE-5

11E-K

828E-K

1138E-5213221E-

5

23283E-5

1K1E-5

853E-K

KE-K

2258E-

5

-11E-

K

-KE-K

581

1325

31K38

5-

1533

-2812

-K85

KK3K5K

-288522

K

2532K

351582

-

33828K

125KK3

%ra&co -. 'istribucin de (omentos para carga a 4)* m

6%%" !%%" "%%! "%%6 "%%$ $%%" $%%2 $%%3 3%%$ 3%%4 3%%5 5%%3 $%%2 4%%3

! 7!!66 754"!8 7$!25 7"$5"8 75"83! 7"$5"8 7$!25 754"!8 7!!66 !

725!5"66

"2

%7"$4528

44

-113385

1

-22K5

2

-353

5

-82211K

2

-3K158

1

-218K522

3

1333

12KK

1K28K

822KK

11333

1

33328

KK85K

3131

-38831

1

-

-15818

8

-KK2

3

-252

-212K

-123

5

-12K

-255

-5K33

-231K

2

-132

38

1235

21

82558

21

1235

13K583

K231K

2212

2


21/21

-28

2

-8K88E-5

-1K3

K

-8K

5

-3

8

-221

-3K8

K

-35

3

-118

K

-282

3

-118

K

-

3

8K8E-

523E-5

K183E-5

1383K5

311322

1383K5

K183E-5

32E-

5118

K155K

K1

-32K5E-5 -K18E-K -123KE-5 -K3E-5 -33K53E-5 -1K82E-5 -21111E-5 -2223E-5 -81K33E-5 -1K23KE-5 -81181E-K -31E-5

K182E-

K32351E-

K

K33E-K

82KKE-K

28E-5

82KKE-K

81181E-

K125E-

5

-2212E-K

-K8E-

-835K2E-

-82E-K

-23233E-K

K81E-

-32K

-128

-8K852

8K

2K215

K5185K3

-1

2

-222K

2

-KK33

K3133

32528

3K

-233218K

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