arcos parabólicos biarticulados

7/21/2019 Arcos Parablicos Biarticulados

1/28

Arcos parablicos biarticulados

Luz (m) 30

Flecha (m) 5

Desnivel (m) 0

Perfil IPN 300

I (cm4) 9800

A (cm2) 9!"

# ($%&cm2) 2"00000

' ($%&cm2) 8"0000

ef!*e frma 0

+ ver,ical ($%&m) "000

+ hrizn,al ($%&m) 0

Increm! ,em-era,ura (.) 0 Borrar datos


2/28

Luz 30 Ln%i,u* (m) 32!08"504038

Flecha 5

Desnivel 0

Perfil IPN 300

I (cm4) 9800 N* / z

A (cm2) 9!" 0 0 0 Ln%i,u* (cm)

# ($%&cm2) 2"00000 " 2!442 "!20482 0!54454238 320!8285052

' ($%&cm2) 8"0000 2 5!3" 3!05"455444 0!4489325 320!8343282

ef!Frma 0 3 8!54 4!"08252424 0!33558884 320!8343"4

4 ""!804" 4!30"298 0!20809"09 320!83232"9

5 "5!0044 4!999999589" 0!0080809 320!8339035

"8!204 4!"8039944 10!0""8"8 320!8325"

2"!343 4!"0594"02 10!209043"3 320!82580883

8 24!3"9 3!048208"058 10!335958"" 320!8288

9 2!234 "!58032358 10!448"5322 320!83239

"0 30 0 10!544289 3"9!995282

AA 01"

0!8553493 10!5"805392 0 0!8553493 0!5"80539"8 0

0!5"805392 0!8553493 0 10!5"805392 0!8553493 0

0 0 " 0 0 "

00

45229!"55 0 0 388"!9"9 1384!20558" 12"4!949 3329"!"44 "9"0!35" 12"4!94955

0 48!384"92 ""9939!4""" 2343"4!234 39!20489 "02"09!095 "9"0!350 "2858!955" "02"09!0949

0 ""9939!4"" 255859!4" 0 ""9939!4""" 255859!4" 12"4!9495 "02"09!095 255859!4""3

0"

145229!"55 0 0 1388"!9" 384!20558" 12"4!949 13329"!"44 1"9"0!35" 12"4!94955

0 148!384"92 ""9939!4""" 12343"4!234 139!20489 "02"09!095 1"9"0!350 1"2858!955" "02"09!0949

0 1""9939!4"" "28292839!" 0 1""9939!4""" "28292839!" 2"4!9495 1"02"09!095 "28292839!05

"0

145229!"55 0 0 1388"!9" 384!20558" 2"4!9495 13329"!"44 1"9"0!35" 2"4!949548

0 148!384"92 1""9939!4"" 12343"4!234 139!20489 1"02"09!095 1"9"0!350 1"2858!955" 1"02"09!0949

0 ""9939!4"" "28292839!" 0 ""9939!4""" "28292839!" 12"4!9495 "02"09!095 "28292839!05

""

45229!"55 0 0 388"!9"9 1384!20558" 2"4!9495 3329"!"44 "9"0!35" 2"4!949548

0 48!384"92 1""9939!4"" 2343"4!234 39!20489 1"02"09!095 "9"0!350 "2858!955" 1"02"09!0949

0 1""9939!4"" 255859!4" 0 1""9939!4""" 255859!4" 2"4!9495 1"02"09!095 255859!4""3

AA "12

0!90"349 10!433055003 0 0!90"3498 0!4330550032 0

0!433055003 0!90"349 0 10!433055003 0!90"3498 0

0 0 " 0 0 "

452288!932 0 0 408!5422 13238!33"083 15"9489!8"3 3880!58004 "328!289 15"9489!8"3"

0 4 94824 ""99592 8404 "9585 98 40 3992"9 "08"23 995 "328 2888 9089 3048 "08"23 9958"

Kij

Discretizar


3/28

AA 314

0!98299"88 10!20"924 0 0!98299"88 0!20"924 0

0!20"924 0!98299"88 0 10!20"924 0!98299"88 0

0 0 " 0 0 "

33

452292!335 0 0 4424!22402 1"549!4453""2 124855!084 433"9!"49 90"4!24"" 124855!08432

0 48!""30 ""99"0!894 93"3!22 3"5!830882 ""358!3394 90"4!24""5 254!30249 ""358!3394"2

0 ""99"0!89 255822!0 0 ""99"0!894 255822!0 124855!0843 ""358!339 255822!03"

34

1452292!335 0 0 14424!224 "549!4453""2 124855!084 1433"9!"49 190"4!24"" 124855!08432

0 148!""30 ""99"0!894 193"3!22 13"5!830882 ""358!3394 190"4!24""5 1254!30249 ""358!3394"2

0 1""99"0!89 "2829"3"3!53 0 1""99"0!894 "2829"3"3!53 24855!0843 1""358!339 "2829"3"3!53"5

43

1452292!335 0 0 14424!224 "549!4453""2 24855!0843 1433"9!"49 190"4!24"" 24855!084324

0 148!""30 1""99"0!89 193"3!22 13"5!830882 1""358!339 190"4!24""5 1254!30249 1""358!3394"

0 ""99"0!89 "2829"3"3!53 0 ""99"0!894 "2829"3"3!53 124855!0843 ""358!339 "2829"3"3!53"5

44

452292!335 0 0 4424!22402 1"549!4453""2 24855!0843 433"9!"49 90"4!24"" 24855!084324

0 48!""30 1""99"0!89 93"3!22 3"5!830882 1""358!339 90"4!24""5 254!30249 1""358!3394"

0 1""99"0!89 255822!0 0 1""99"0!894 255822!0 24855!0843 1""358!339 255822!03"

AA 415

0!99494"54 10!0048935 0 0!99494"544 0!00489354 0

0!0048935 0!99494"54 0 10!0048935 0!99494"544 00 0 " 0 0 "

44

452290!0252 0 0 45""5!52" 1529!00325 18480!32505 45003!558 3"39"!""8"3 18480!325049

0 48!0023 ""99598!"9 3"999!039 459!240"5 ""9592!08 3"39"!""8"35 904!40"" ""9592!0803

0 ""99598!" 2558"3"!3 0 ""99598!"9 2558"3"!3 18480!32504 ""9592!08 2558"3"!3"

45

1452290!0252 0 0 145""5!52 529!00325 18480!32505 145003!558 13"39"!""8"3 18480!325049

0 148!0023 ""99598!"9 13"999!03 1459!240"5 ""9592!08 13"39"!""8"35 1904!40"" ""9592!0803

0 1""99598!" "2829058!3 0 1""99598!"9 "2829058!3 8480!32504 1""9592!08 "2829058!358

54

1452290!0252 0 0 145""5!52 529!00325 8480!32504 145003!558 13"39"!""8"3 8480!3250494

0 148!0023 1""99598!" 13"999!03 1459!240"5 1""9592!08 13"39"!""8"35 1904!40"" 1""9592!0804

0 ""99598!" "2829058!3 0 ""99598!"9 "2829058!3 18480!32504 ""9592!08 "2829058!358

55

452290!0252 0 0 45""5!52" 1529!00325 8480!32504 45003!558 3"39"!""8"3 8480!3250494

0 48!0023 1""99598!" 3"999!039 459!240"5 1""9592!08 3"39"!""8"35 904!40"" 1""9592!0804

0 1""99598!" 2558"3"!3 0 1""99598!"9 2558"3"!3 8480!32504 1""9592!08 2558"3"!3"

AA 51

0!994334 0!0""200 0 0!9943338 10!0""200 0

10!0""20" 0!994334 0 0!0""200 0!9943338 0

0 0 " 0 0 "

55

45229"!998 0 0 45""4!492"5 53"!889008 85323!49902 45004"!"98 13"55!348 85323!4990"2

0 48!"00533 ""9909!05 132"9!5253 459!""000 ""950!83 13"55!34 928!3529 ""950!8255

0 ""9909!0 25582435!23 0 ""9909!05 25582435!23 85323!49902 ""950!8 25582435!22

145229"!998 0 0 145""4!4922 153"!889008 85323!49902 145004"!"98 3"55!348 85323!4990"2

0 48 "00533 ""9909 05 32"9 52533 459 ""000 ""950 83 3"55 34 928 3529 ""950 8255


4/28

AA 819

0!90"24834 0!4333023"8 0 0!90"248343 10!4333023"84 0

10!4333023"8 0!90"24834 0 0!4333023"84 0!90"248343 0

0 0 " 0 0 "

88

45229"!853" 0 0 402!4"493 3240!252"0" 5"993!033 38!98 1"305!"03 5"993!0334"

0 48!09340 ""9908!3"34 1"9599!"085 39!2"495 "08""45!3542 1"305!"033 90992!24 "08""45!354"

0 ""9908!3"3 25582353!2 0 ""9908!3"34 25582353!2 5"993!033 "08""45!354 25582353!"4

89

145229"!853" 0 0 1402!4"49 13240!252"0" 5"993!033 138!98 "305!"03 5"993!0334"

0 148!09340 ""9908!3"34 "9599!"0855 139!2"495 "08""45!3542 "305!"033 190992!24 "08""45!354"

0 1""9908!3"3 "2829""!8 0 1""9908!3"34 "2829""!8 15"993!033 1"08""45!354 "2829""!858

98

145229"!853" 0 0 1402!4"49 13240!252"0" 15"993!034 138!98 "305!"03 15"993!0334

0 148!09340 1""9908!3"3 "9599!"0855 139!2"495 1"08""45!354 "305!"033 190992!24 1"08""45!354"

0 ""9908!3"3 "2829""!8 0 ""9908!3"34 "2829""!8 5"993!033 "08""45!354 "2829""!858

99

45229"!853" 0 0 402!4"493 3240!252"0" 15"993!034 38!98 1"305!"03 15"993!0334

0 48!09340 1""9908!3"3 1"9599!"085 39!2"495 1"08""45!354 1"305!"033 90992!24 1"08""45!354"

0 1""9908!3"3 25582353!2 0 1""9908!3"34 25582353!2 15"993!033 1"08""45!354 25582353!"4

AA 91"0

0!8552885 0!5"8"845"8 0 0!855288499 10!5"8"845" 0

10!5"8"845"8 0!8552885 0 0!5"8"845" 0!855288499 00 0 " 0 0 "

99

4535""!883 0 0 3884!58944 390!4492 249!5432 333"!3288 1"949!520 249!54322

0 538!20 "20088!80"2 1235002!838" 44!9"53 "03"530!"8"9 1"949!5209 "2289!3295 "03"530!"8"9"2

0 "20088!80" 25244" 0 "20088!80"2 252440!9 249!5432 "03"530!"82 252440!949

91"0

14535""!883 0 0 13884!5894 1390!4492 249!5432 1333"!3288 "949!520 249!54322

0 1538!20 "20088!80"2 235002!8380 144!9"53 "03"530!"8"9 "949!5209 1"2289!3295 "03"530!"8"9"2

0 1"20088!80" "283235!48 0 1"20088!80"2 "283235!48 1249!5432 1"03"530!"82 "283235!4824

"019

14535""!883 0 0 13884!5894 1390!4492 1249!543 1333"!3288 "949!520 1249!54322

0 1538!20 1"20088!80" 235002!8380 144!9"53 1"03"530!"82 "949!5209 1"2289!3295 1"03"530!"8"9"

0 "20088!80" "283235!48 0 "20088!80"2 "283235!48 249!5432 "03"530!"82 "283235!4824

"01"0

4535""!883 0 0 3884!58944 390!4492 1249!543 333"!3288 1"949!520 1249!54322

0 538!20 1"20088!80" 1235002!838" 44!9"53 1"03"530!"82 1"949!5209 "2289!3295 1"03"530!"8"9"

0 1"20088!80" 25244" 0 1"20088!80"2 252440!9 1249!5432 1"03"530!"82 252440!949


5/28

#nsamla6e *e suma,rices

00

3329"!"44 "9"0!35" 12"4!949

5

145004"!"98 3"55!34 85323!499

"9"0!35" "2858!955" "02"09!095 3"55!34 1928!35285 ""950!8

12"4!949 "02"09!095 255859!4" 185323!499 1""950!83 "2829"2"!

0"

13329"!"44 1"9"0!35" 12"4!949

5

145004"!"98 3"55!34 185323!499

1"9"0!35" 1"2858!955" "02"09!095 3"55!34 1928!35285 1""950!8

2"4!949 1"02"09!095 "28292839!" 85323!49902 ""950!83 "2829"2"!

"0

13329"!"44 1"9"0!35" 2"4!9495

883"82!58028 1"2"88!"392 "359!4808

1"9"0!35" 1"2858!955" 1"02"09!095 1"2"88!"393 33!0"9 123033!229

12"4!949 "02"09!095 "28292839!" "359!4809 123033!229 5"3"02"!2

""

0"8!24 3035!0"39 "0"988!282

1433"40!805 903"0!4029 248982!90

3035!0"39 2"55!2 55"4!9002" 903"0!4029 1239!229"9" ""353!3

"0"988!283 55"4!9002 5"3"38!38 1248982!90 1""353!3 "282939"8

"2

13880!58 1"328!289 15"9489!8"3

1433"40!805 903"0!4029 1248982!90

1"328!289 19089!3048 "08"23!995 903"0!4029 1239!229"9" 1""353!35"9489!8"3 1"08"24 "28290349!48 248982!909 ""353!3 "282939"8

2"

13880!58 1"328!289 5"9489!8"32

83089!45402 12283!949" "4528!"92

1"328!289 19089!3048 1"08"23!99 12283!949 824!95803 1409!"528"

15"9489!8"3 "08"23!99 "28290349!48 "4528!"92" 1409!"5280 5"3"4088!5

22

2898!2"03 3""98!599" "24354!0"583

8

1403948!5935 "38453!5492 3955""!599

3""98!599" "435!2 5"34!24505 "38453!5492 155828!5"2 ""325"!484

"24354!0"58 5"34!245 5"3""453!5 13955""!599 1""325"!483 "28293"2!3

23

140402!303 1"38340!3202 1395"35!55

8

1403948!5935 "38453!5492 13955""!599

1"38340!3202 15539!35" ""3248!24"4 "38453!5492 155828!5"2 1""325"!484

395"35!55 1""3248!24" "282903!34 3955""!599 ""325"!483 "28293"2!3

32

140402!303 1"38340!3202 395"35!549

88

22!233" 13"2"59!"524 "2428"!4835

1"38340!3202 15539!35" 1""3248!24" 13"2"59!"52 "4820!84335 15"42!"2958

1395"35!55 ""3248!24" "282903!34 "2428"!4834 15"42!"2958 5"3"80!3

33

83223!80" 228504!5"4 "459!590

89

138!98 "305!"033 5"993!034

228504!5"4 823"3!0"9 40930!09802 "305!"033 190992!238 "08""45!354

"459!59" 40930!09803 5"3"338"!5 15"993!034 1"08""45!3542 "2829""!9

34

1433"9!"498 190"4!24"" 124855!084

98

138!98 "305!"033 15"993!034

190"4!24"" 1254!30249 ""358!3394 "305!"033 190992!238 1"08""45!354

24855!084 1""358!339 "2829"3"3!53 5"993!033 "08""45!3542 "2829""!9

1433"9!"498 190"4!24"" 24855!0843 02538!9984 13"355!"3"02 "05"83!4803

90"4 24"" 254 30249 ""358 339 3"355 "3" 2"828" 02 49"5 "22


6/28

3329"!"44 "9"0!350 12"4!9495 13329"!"44 1"9"0!350 12"4!9495 0 0 0 0

"9"0!350 "2858!95509 "02"09!095 1"9"0!350 1"2858!95509 "02"09!095 0 0 0 0

12"4!9495 "02"09!095 255859!4" 2"4!9495 1"02"09!095 "28292839!" 0 0 0 0

13329"!"44 1"9"0!350 2"4!9495 0"8!244 3035!0"395 "0"988!282 13880!58004 1"328!2888 15"9489!8"32 0

1"9"0!350 1"2858!95509 1"02"09!095 3035!0"395 2"55!2599 55"4!9002" 1"328!2888 19089!3048" "08"23!995 0

12"4!9495 "02"09!095 "28292839!" "0"988!282 55"4!9002" 5"3"38!38 5"9489!8"32 1"08"23!995 "28290349!48 0

0 0 0 13880!58004 1"328!2888 5"9489!8"32 2898!2"034 3""98!599" "24354!0"583 140402!303

0 0 0 1"328!2888 19089!3048" 1"08"23!995 3""98!599" "435!258 5"34!24505 1"38340!32022

0 0 0 15"9489!8"32 "08"23!995 "28290349!48 "24354!0"583 5"34!24505 5"3""453!5 395"35!549

0 0 0 0 0 0 140402!303 1"38340!32022 395"35!549 83223!800

0 0 0 0 0 0 1"38340!32022 15539!350 1""3248!24"4 228504!5"3

0 0 0 0 0 0 1395"35!549 ""3248!24"4 "282903!34 "459!590

0 0 0 0 0 0 0 0 0 1433"9!"49

0 0 0 0 0 0 0 0 0 190"4!24""5

0 0 0 0 0 0 0 0 0 124855!0843

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0


7/28

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0 0

903"0!4029 248982!909 0 0 0 0 0 0 0 0

1239!229"9" ""353!3 0 0 0 0 0 0 0 0

1""353!3 "282939"!9 0 0 0 0 0 0 0 0

12283!949" "4528!"92" 1403948!59354 "38453!5492 3955""!599 0 0 0 0 0

824!95803 1409!"5280 "38453!5492 155828!5"2 ""325"!483 0 0 0 0 0

1409!"5280 5"3"4088!5" 13955""!599 1""325"!483 "28293"2!29 0 0 0 0 0

"38453!5492 13955""!599 22!233" 13"2"59!"524 "2428"!4834 138!98 "305!"033 5"993!033 0 0

155828!5"2 1""325"!483 13"2"59!"524 "4820!84335 15"42!"2958 "305!"033 190992!238 "08""45!3542 0 0

""325"!483 "28293"2!29 "2428"!4834 15"42!"2958 5"3"80!29 15"993!033 1"08""45!3542 "2829""!8 0 00 0 138!98 "305!"033 15"993!033 02538!9984 13"355!"3"02 "05"83!48035 1333"!3288 "949!5209

0 0 "305!"033 190992!238 1"08""45!3542 13"355!"3"02 2"828"!02 149"5!"2255 "949!5209 1"2289!32952

0 0 5"993!033 "08""45!3542 "2829""!8 "05"83!48035 149"5!"2255 5"385824!8 1249!5432 1"03"530!"8"9

0 0 0 0 0 1333"!3288 "949!5209 1249!5432 333"!3288 1"949!5209

0 0 0 0 0 "949!5209 1"2289!32952 1"03"530!"8"9 1"949!5209 "2289!32952

0 0 0 0 0 249!5432 "03"530!"8"9 "283235!48 1249!5432 1"03"530!"8"9


8/28

Luz 30 N* / z

Flecha 5 0 0 0 Ln%i,u* (cm)

Desnivel 0 " 2!442 "!20482 0!54454238 320!8285052

Perfil IPN 300 2 5!3" 3!05"455444 0!4489325 320!8343282

I (cm4) 9800 3 8!54 4!"08252424 0!33558884 320!8343"4

A (cm2) 9!" 4 ""!804" 4!30"298 0!20809"09 320!83232"9

# ($%&cm2) 2"00000 5 "5!0044 4!999999589" 0!0080809 320!8339035' ($%&cm2) 8"0000 "8!204 4!"8039944 10!0""8"8 320!8325"

ef! Frma 0 2"!343 4!"0594"02 10!209043"3 320!82580883

+ ver ($%&cm) "0 8 24!3"9 3!048208"058 10!335958"" 320!8288

+ hr ($%&cm) 0 9 2!234 "!58032358 10!448"5322 320!83239

Incr!,em- (.) 0 "0 30 0 10!544289 3"9!995282

AA 01"0!8553493 10!5"805392 00!5"80539"8 0!8553493 0

0 0 "

N0 83"!03239" 0 0 0 0 0 7ec,r *e ar%as0 "32!" 0 0 "04!"42524 0 0 N0 0

0 338!"320"4 0 0 338!"320"4 0 0 0 1"04!"42523

N" 83"!03239" 0 0 0 0 0 0 1338!"320"42

" "32!" 0 0 "04!"42524 0 0 N" 0

" 1338!"320" 0 0 1338!"320" 0 0 " 13208!3""9049

AA "12

0!90"3498 10!433055003 0 " 13950!349359

0!4330550032 0!90"3498 0 N2 00 0 " 2 13208!349984

N" 94!9543"22 0 0 0 0 0 2 133!540"005

" "445!95 0 0 "04!"34" 0 0 N3 0

" 3"8!49988 0 0 3"8!49988 0 0 3 13208!33492522

N2 94!9543"22 0 0 0 0 0 3 12924!330302

2 "445!95 0 0 "04!"34" 0 0 N4 1"!42"0855#10"4

2 13"8!4999 0 0 13"8!4999 0 0 4 13208!33"4""28

AA 213

0!944"93489 10!32939"34" 0 4 1"4!32"443

0!32939"340 0!944"93489 0 N5 1"!42"0855#10"4

0 0 " 5 13208!332"04

N2 528 40099 0 0 0 0 0 5 3 045945"

7ec,r *e car%as


9/28

18390!432 0 0 18390!432 0 0


10/28

AA 18

0!9440890433 0!3299059 0

10!3299058 0!9440890433 0

0 0 "

N 1528!89498" 0 0 0 0 0

"5"4!45 0 0 "04!"38943 0 0

8099!0408 0 0 8099!0408 0 0

N8 1528!89498" 0 0 0 0 0

8 "5"4!45 0 0 "04!"38943 0 0

8 18099!04" 0 0 18099!04" 0 0

AA 819

0!90"248343 0!4333023"84 0

10!4333023"8 0!90"248343 0

0 0 "

N8 195!0885 0 0 "!"38#10"3 0 0

8 "445!5 0 0 "04!"33"85 0 0

8 30!303922 0 0 30!303922 0 0

N9 195!0885 0 0 "!"38#10"3 0 0

9 "445!5 0 0 "04!"33"85 0 09 130!30392 0 0 130!30392 0 0

AA 91"0

0!855288499 0!5"8"845" 0

10!5"8"845"8 0!855288499 0

0 0 "

N9 1829!0"39 0 0 "!"38#10"3 0 0

9 "38!3 0 0 "599!848"4" 0 0

9 299!058803 0 0 299!058803 0 0

N"0 1829!0"39 0 0 "!"38#10"3 0 0

"0 "38!3 0 0 "599!848"4" 0 0

"01299!0588 0 0 1299!0588 0 0


11/28

Matriz K255859!4" 2"4!949548 1"02"09!0949 "28292839!0549 0 0 0 0

2"4!9495 0"8!24354 3035!0"39494 "0"988!282588 13880!58003 1"328!28883 15"9489!8"3"593 0

1"02"09!095 3035!0"39494 2"55!25995" 55"4!90020584 1"328!28883 19089!30480 "08"23!995808 0

"28292839!" "0"988!282589 55"4!9002058 5"3"38!35444 5"9489!8"3"59 1"08"23!9958 "28290349!48203 00 13880!58003 1"328!28883 5"9489!8"3"593 2898!2"03403 3""98!5990992 "24354!0"5825935 140402!30303 1"38340!3

0 1"328!28883 19089!30480 1"08"23!995808 3""98!5990992 "435!252 5"34!24504954 1"38340!3202" 15539!35

0 15"9489!8"3" "08"23!9958" "28290349!48203 "24354!0"58259 5"34!2450498 5"3""453!53325 395"35!549 1""3248!

0 0 0 0 140402!30303 1"38340!3202" 395"35!549000" 83223!800"8 228504!5

0 0 0 0 1"38340!3202" 15539!3504 1""3248!24"3855 228504!5"3"8 823"3!0

0 0 0 0 1395"35!549 ""3248!24"38 "282903!34459 "459!5905 40930!098

0 0 0 0 0 0 0 1433"9!"499 190"4!24

0 0 0 0 0 0 0 190"4!24""55 1254!30

0 0 0 0 0 0 0 124855!08432 ""358!3

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 00 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0

Matriz K-12!09"#1008 12!289"9#100 3!5003"#100 !44"3288#1009 12!4458#100 4!5302#100 1"!2953203#1009 12!220924#100 0!000

12!2892#100 0!000328"05 10!000538805 1"!3"29954#100 0!0004008 10!000039038 "!038825895#100 0!0003445"" 10!00053

3!500#100 10!000538805 0!000892809 2!25"28"322#100 10!0009548 0!00""434 1"!85304500#100 10!0005"389 0!0008

44"3# 009 " 3"300# 00 2 25"28"3# 00 9 "83"489# 009 2 03822# 00 3 5034# 00 395939"# 0"0 " 8""335# 00 3 02"59"


12/28

M0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 N"

0 0 0 0 0 0 0 0 "0 0 0 0 0 0 0 0 "

0 0 0 0 0 0 0 0 N2

0 0 0 0 0 0 0 0 2

0 0 0 0 0 0 0 0 2

0 0 0 0 0 0 0 0 N3

0 0 0 0 0 0 0 0 3

0 0 0 0 0 0 0 0 3

0 0 0 0 0 0 0 0 N4

0 0 0 0 0 0 0 0 4

0 0 0 0 0 0 0 0 4

0 0 0 0 0 0 0 0 N5

0 0 0 0 0 0 0 0 5

248982!9092558 0 0 0 0 0 0 0 5

""353!3554 0 0 0 0 0 0 0 N

"282939"!9"3 0 0 0 0 0 0 0

"4528!"920832 1403948!59353 "38453!549"54 3955""!5990"2 0 0 0 0

1409!"5280342" "38453!549"54 155828!5"23 ""325"!4834 0 0 0 0 N

5"3"4088!5"0 13955""!5990" 1""325"!4835 "28293"2!28 0 0 0 0

13955""!5990""9 22!233"28 13"2"59!"5242 "2428"!48343 138!9 "305!"032 5"993!0334" 0

1""325"!483432 13"2"59!"5242 "4820!8433508 15"42!"295804 "305!"032 190992!2385 "08""45!354" 0 N8

"28293"2!28 "2428"!48343 15"42!"295804 5"3"80!2928 15"993!0334 1"08""45!354" "2829""!858 0 80 138!9 "305!"032 15"993!0334 02538!998449 13"355!"3"0"8 "05"83!480348 249!54322 8

0 "305!"032 190992!2385 1"08""45!354" 13"355!"3"0"8 2"828"!0255" 149"5!"2255" "03"530!"8"9"2 N9

0 5"993!0334" "08""45!354" "2829""!858 "05"83!480348 149"5!"2255" 5"385824!823 "283235!4824 9

0 0 0 0 249!54322 "03"530!"8"9"2 "283235!4824 252440!949 9

"0

Despla12!3494525#10"0 1"!95#100 13!0"3559#100 3!"49"20#1009 1"!04""83#100 1"!"3""#100 5!445594#1009 !5543#10090!00000005" 0!00024""83 0!0004495 14!9"9#100 0!000"50999 0!0002"202 18!932992#100 1"!04343#100 0

18!434"389#1008 10!000434529 10!0008388"3 8!0339#100 10!0002""35 10!000440"53 "!493#100 "!"458#100

4 8""90# 0"0 " 4"523# 00 2 55050# 00 2 5399335# 009 8 9024# 00 " 4483# 00 4 9349# 009 5 40009# 009

/1

z"


13/28

Luz 30 #lemen, Ln%i,u* (cm)

Flecha 5 01" 0!54454238 320!8285052

Desnivel 0 "12 0!4489325 320!8343282

213 0!33558884 320!8343"4

Perfil IPN 300 314 0!20809"09 320!83232"9

I (cm4) 9800 415 0!0080809 320!8339035

A (cm2) 9!" 51 10!0""8"8 320!8325"# ($%&cm2) 2"00000 1 10!209043"3 320!82580883

18 10!335958"2 320!8288

+ ver ($%&cm) "0 819 10!448"5322 320!83239

+ hr ($%&cm) 0 91"0 10!544289 3"9!995282

Incr!,em- (.) 0

AA 01"

0 23!"82205 0 123!"82205

1325!0093"5 330!2855344 325!0093"5 1330!2855344

192!322" 23259!5002 13483"3!8"" 458024!"0"5

N 01" 388"!9"9 2343"4!234 0 0 1388"!9"9 12343"4!234 0 0!288""483" 01" 1384!20558" 39!20489 ""9939!4""" 0 384!20558" 139!20488 ""9939!4""" 10!59389505

01" 12"4!9495 "02"09!095 255859!4" 10!002"499 2"4!9495 1"02"09!095 "28292839!" 10!00"289544

N "10 1388"!9"9 12343"4!234 0 0 388"!9"9 2343"4!234 0 0!288""483"

"10 384!20558" 139!20488 1""9939!4"" 0 1384!20558" 39!20489 1""9939!4""" 10!59389505

"10 12"4!9495 "02"09!095 "28292839!" 10!002"499 2"4!9495 1"02"09!095 255859!4" 10!00"289544

AA "12

""5!2058523 2498!39254 1""5!2058523 12498!39254

148"!3"2893 33!8592" 48"!3"2893 133!8592"

1""2233"!20" "0080!488" 195099!08434 "03290!3033

N "12 408!5422 "9585!98 0 0!288""483" 1408!5422 1"9585!98 0 0!30435488"

"12 13238!33"083 40!3992"9 ""99592!8404 10!5938950 3238!33"083 140!39922 ""99592!8404 10!"09935"

"12 15"9489!8"32 "08"23!995 2558099 10!00"28954 5"9489!8"32 1"08"23!99 "28290349!48 0!0002"529"4

N 21" 1408!5422 1"9585!98 0 0!288""483" 408!5422 "9585!98 0 0!30435488"

21" 3238!33"083 140!39922 1""99592!84 10!5938950 13238!33"083 40!3992"9 1""99592!8404 10!"09935"

21" 15"9489!8"32 "08"23!995 "28290349!48 10!00"28954 5"9489!8"32 1"08"23!99 2558098!9 0!0002"529"4

AA 213

"593!02482 834"!35423 1"593!02482 1834"!35423

1585!"504092 55!8"559 585!"504092 155!8"559

1920"!83" 844"9!"082 19548"!8852 9094!49

N 213 42048!3"4 "48980!09"38 0 0!30435488" 142048!3"4 1"48980!09"4 0 0!"958503

213 1243!"3"598 00!35095 ""99593!3"5 10!"09935 243!"3"598 100!3509 ""99593!3"5 10!50924044

213 1395"35!549 ""3248!24"4 2558054!9 0!0002"529"4 395"35!549 1""3248!24" "282903!34 0!00098024

N 3 2 42048 3"4 "48980 09"4 0 0 30435488" 42048 3"4 "48980 09"38 0 0 "958503


14/28

AA 18

848!"3 "288!4""84 1848!"3 1"288!4""84

153!98803 584!02245 53!98803 1584!02245

19450!83003 95"405!404 184"3!25485 924""!9320"

N 18 420"0!2"35 1"49""8!29" 0 10!"8523535 1420"0!2"35 "49""8!29"4 0 10!302954924

18 245!593425 00!308909 ""9944!0 10!592"2243 1245!593425 100!3089" ""9944!0 10!58298598

18 3955""!599 ""325"!483 2558252!58 10!00098285 13955""!599 1""325"!484 "28293"2!29 10!0002"23559

N 81 1420"0!2"35 "49""8!29"4 0 10!"8523535 420"0!2"35 1"49""8!29" 0 10!302954924

81 1245!593425 100!3089" 1""9944!" 10!592"2243 245!593425 00!308909 1""9944!0 10!58298598

81 3955""!599 ""325"!483 "28293"2!29 10!00098285 13955""!599 1""325"!484 2558252!58 10!0002"23559

AA 819

25""!950453 "029!3835"" 125""!950453 1"029!3835""

134!04802 453!8522 34!04802 1453!8522

1"03"9"!34 9528!2892 1"004548!289 """939!5944

N 819 402!4"493 1"9599!"085 0 10!302954925 1402!4"493 "9599!"0855 0 10!284"4288

819 3240!252"0" 39!2"495 ""9908!3"34 10!58298598 13240!252"0" 139!2"49 ""9908!3"34 10!59053982

819 5"993!033 "08""45!3542 25582353!2 10!0002"235 15"993!033 1"08""45!354 "2829""!8 0!00"28825"5

N 918 1402!4"493 "9599!"0855 0 10!302954925 402!4"493 1"9599!"085 0 10!284"4288

918 13240!252"0" 139!2"49 1""9908!3"3 10!58298598 3240!252"0" 39!2"495 1""9908!3"34 10!59053982 918 5"993!033 "08""45!3542 "2829""!8 10!0002"235 15"993!033 1"08""45!354 25582353!2 0!00"28825"5

AA 91"0

25!453" 0 125!453" 0

1333!"389"8 320!35229 333!"389"8 1320!35229

14592!334 3439!25434 122509!4498 9548!5088

N 91"0 3884!58944 1235002!838" 0 10!284"429 13884!58944 235002!8380 0 0

91"0 390!4492 44!9"53 "20088!80"2 10!5905398 1390!4492 144!9"5 "20088!80"2 0

91"0 249!5432 "03"530!"8"9 25244" 0!00"28825"5 1249!5432 1"03"530!"82 "283235!48 0!00203255

N "019 13884!58944 235002!8380 0 10!284"429 3884!58944 1235002!838" 0 0

"019 1390!4492 144!9"5 1"20088!80" 10!5905398 390!4492 44!9"53 1"20088!80"2 0

"019 249!5432 "03"530!"8"9 "283235!48 0!00"28825"5 1249!5432 1"03"530!"82 252440!9 0!00203255

Esfuerzos en las barras

#lemen, i6N* i N* 6

N N Nm:/" (01") 128504!2"459 1"485!3"3 12!#1009 12842!"498" "258!82383" 3342!222033 128504!2"459

2 ("12) 12838!294038 1"338!5"30 3342!222033 125448!903"8 "553!389342 "82!2"9508 12838!294038

3 (213) 12542!8290 1"30!28""5 "82!2"9508 124405!98"3" "23!0"88502 1499!229 12542!8290

4 (314) 12442!2888 1"380!83448 1499!229 1232!9305 "5!8355" 1"2545"!8059 12442!2888

5 (415) 1239!024"35 1"525!4"43"3 1"2545"!8059 123552!0352 "4!8858 1"49429!5522 1239!024"35

(5 ) 23552 02950 "4 99842 "49429 5522 2380 225" "525 20"535 "25399 982 2380 225"0"

A/iles *e cm-


15/28


16/28

esi;n


17/28

Luz 30 #lemen, Ln%i,u* (cm) N ($%) N & Nma/

Flecha 5 01" 0!54454238 320!8285052 128504!2"459 0!99999"035

Desnivel 0 "12 0!4489325 320!8343282 12838!294038 0!94"54849

213 0!33558884 320!8343"4 12542!8290 0!8932908

Perfil IPN 300 314 0!20809"09 320!83232"9 12442!2888 0!85988

I (cm4) 9800 415 0!0080809 320!8339035 1239!024"35 0!83422089

A (cm2) 9!" 51 10!0""8"8 320!8325" 12380!225"0" 0!834230""8# ($%&cm2) 2"00000 1 10!209043"33 320!82580883 124430!030585 0!8505929

18 10!335958"" 320!8288 1254!052855 0!89340558

Nma/ 28504!40"3 819 10!448"53224 320!83239 12842!40489 0!94"9""23"

91"0 10!544288 3"9!995282 128504!40"29 "

AA 01"

0!8553493 10!5"805392 0 0!8553493 0!5"80539"8 0

0!5"805392 0!8553493 0 10!5"805392 0!8553493 0

0 0 " 0 0 "

%00

0 0 0 0 1"8!4994223 1498!"9434 9!"24 1"5!952"8994 1498!"9434

0 3 92!4855"582 0 30!92525"9 823!2 1"5!952"8994" 2!33832334 823!200000004

0 92!4855"58 4""23!"9"8 0 92!4855"582 4""23!"9"8 1498!"9434 823!2 4""23!"9"83

%0"

0 0 0 0 "8!4994223 1498!"9434 19!"24 "5!952"8994 1498!"9434

0 13 92!4855"582 0 130!92525"9 823!2 "5!952"8994" 12!33832334 823!200000004

0 192!4855"58 1"02930!9298 0 192!4855"582 1"02930!9298 498!"9434 1823!2 1"02930!9299

%"0

0 0 0 0 "8!4994223 498!"9434 19!"24 "5!952"8994 498!"9434002

0 13 192!4855"58 0 130!92525"9 1823!2 "5!952"8994" 12!33832334 1823!2

0 92!4855"58 1"02930!9298 0 92!4855"582 1"02930!9298 1498!"9434 823!2 1"02930!9299

%""

0 0 0 0 1"8!4994223 498!"9434 9!"24 1"5!952"8994 498!"9434002

0 3 192!4855"58 0 30!92525"9 1823!2 1"5!952"8994" 2!33832334 1823!2

0 192!4855"58 4""23!"9"8 0 192!4855"582 4""23!"9"8 498!"9434 1823!2 4""23!"9"83

AA "120!90"349 10!433055003 0 0!90"3498 0!4330550032 00!433055003 0!90"349 0 10!433055003 0!90"3498 0

0 0 " 0 0 "

%""

0 0 0 0 1"5!589980""5 14"!8"258 !5"3"8888" 1"4!05230"35 14"!8"25833

0 3 92!504"984 0 32!449229883 8!5 1"4!05230"35 29!2488""" 8!59999999

0 92!504"985 4""39!03"5 0 92!504"984 4""39!03"5 14"!8"2583 8!5 4""39!03"454

%"2

0 0 0 0 "5!589980""5 14"!8"258 1!5"3"8888" "4!05230"35 14"!8"25833

0 13 92!504"984 0 132!449229883 8!5 "4!05230"35 129!2488""" 8!59999999

0 192!504"985 1"02934!9258 0 192!504"984 1"02934!9258 4"!8"2583 18!5 1"02934!9258

%2"

0 0 0 0 "5!589980""5 4"!8"2583 1!5"3"8888" "4!05230"35 4"!8"25833"

0 13 192!504"985 0 132!449229883 18!5 "4!05230"35 129!2488""" 18!5

% (II)

% (I)


18/28

AA 415

0!99494"54 10!0048935 0 0!99494"544 0!00489354 0

0!0048935 0!99494"54 0 10!0048935 0!99494"544 0

0 0 " 0 0 "

%44

0 0 0 0 12!549"42 18!0959834 0!"80"94829 12!54059382 18!095983400

0 3 92!50"88"0 0 35!909895 90!09 12!5405938" 35!8"9805" 90!089999998

0 92!50"88"" 4""3!204 0 92!50"88"0 4""3!204 18!09598340" 90!09 4""3!204"

%450 0 0 0 2!549"42 18!0959834 10!"80"94829 2!54059382 18!0959834000 13 92!50"88"0 0 135!909895 90!09 2!5405938" 135!8"9805" 90!089999998

0 192!50"88"" 1"02934!430" 0 192!50"88"0 1"02934!430" 8!09598340" 190!09 1"02934!430""

%54

0 0 0 0 2!549"42 8!09598340" 10!"80"94829 2!54059382 8!095983400

0 13 192!50"88"" 0 135!909895 190!09 2!5405938" 135!8"9805" 190!089999998

0 92!50"88"" 1"02934!430" 0 92!50"88"0 1"02934!430" 18!09598340" 90!09 1"02934!430""

%55

0 0 0 0 12!549"42 8!09598340" 0!"80"94829 12!54059382 8!095983400

0 3 192!50"88"" 0 35!909895 190!09 12!5405938" 35!8"9805" 190!089999998

0 192!50"88"" 4""3!204 0 192!50"88"0 4""3!204 8!09598340" 190!09 4""3!204"

AA 51

0!994334 0!0""200 0 0!9943338 10!0""200 0

10!0""20" 0!994334 0 0!0""200 0!9943338 00 0 " 0 0 "

%55

0 0 0 0 2!50538544 8!4588399 0!"82"2"0455 2!554053555 8!45883988

0 3 92!498532 0 35!9088240"8 90!0 2!5540535553 35!8"8895 90!059999998

0 92!49853 4""34!"308 0 92!498532 4""34!"308 8!4588399 90!0 4""34!"305

%5

0 0 0 0 12!50538544 8!4588399 10!"82"2"0455 12!554053555 8!45883988

0 13 92!498532 0 135!9088240"8 90!0 12!5540535553 135!8"8895 90!059999998

0 192!49853 1"02933!532 0 192!498532 1"02933!532 18!4588399 190!0 1"02933!53294

%5

0 0 0 0 12!50538544 18!45884 10!"82"2"0455 12!554053555 18!45883988

0 13 192!49853 0 135!9088240"8 190!0 12!5540535553 135!8"8895 190!059999998

0 92!49853 1"02933!532 0 92!498532 1"02933!532 8!4588399 90!0 1"02933!53294

%

0 0 0 0 2!50538544 18!45884 0!"82"2"0455 2!554053555 18!45883988

0 3 192!49853 0 35!9088240"8 190!0 2!5540535553 35!8"8895 190!059999998

0 192!49853 4""34!"308 0 192!498532 4""34!"308 18!4588399 190!0 4""34!"305

AA 1

0!9822554 0!205448 0 0!98225539 10!2054482 0

10!205448 0!9822554 0 0!2054482 0!98225539 0

0 0 " 0 0 "

%

0 0 0 0 !4"084"43 "99!503 "!55092538 !3089"8"4 "99!503"5

0 3 92!44249 0 35!2"""943 94"!52 !3089"8"3 34!4493044 94"!5"9999998

0 92!4425 4"""!9845 0 92!44249 4"""!9845 "99!503 94"!52 4"""!98445

0 0 0 0 1!4"084"43 "99!503 1"!55092538 1!3089"8"4 "99!503"5

0 3 92 44249 0 35 2"""943 94" 52 3089"8"3 34 4493044 94" 5"9999998


19/28

AA 91"0

0!8552885 0!5"8"845"8 0 0!855288499 10!5"8"845" 0

10!5"8"845"8 0!8552885 0 0!5"8"845" 0!855288499 0

0 0 " 0 0 "

%99

0 0 0 0 "8!54423 49!4098204 9!5499 "5!954345 49!4098204"5

0 3 959!908884 0 30!89859 820!98000002 "5!9543453 2!333453 820!9800000"5"

0 959!908885 409522!08453 0 959!908884 409522!08453 49!4098204 820!98 409522!08453"

%91"00 0 0 0 1"8!54423 49!4098204 19!5499 1"5!954345 49!4098204"50 13 959!908884 0 130!89859 820!98000002 1"5!9543453 12!333453 820!9800000"5"

0 1959!908885 1"02380!52"" 0 1959!908884 1"02380!52"" 149!4098204 1820!98 1"02380!52""33

%"019

0 0 0 0 1"8!54423 149!409820 19!5499 1"5!954345 149!40982042

0 13 1959!908885 0 130!89859 1820!98 1"5!9543453 12!333453 1820!9800000"5

0 959!908885 1"02380!52"" 0 959!908884 1"02380!52"" 49!4098204 820!98 1"02380!52""33

%"01"0

0 0 0 0 "8!54423 149!409820 9!5499 "5!954345 149!40982042

0 3 1959!908885 0 30!89859 1820!98 "5!9543453 2!333453 1820!9800000"5

0 1959!908885 409522!08453 0 1959!908884 409522!08453 149!4098204 1820!98 409522!08453"

#nsamla6e *e suma,rices

%00

0!00"0038" 10!00"538 10!05"804932

%5

1"!585#1005 10!00022"34 0!00593385

10!00"538 0!00234 0!085534029 10!00022"3 10!003"045822 0!0832"50"

10!05"804932 0!08553402 42!50554 10!00593385 10!0832"50"02 18!92"959

%0"

10!00"0038" 0!00"538 10!05"804932

%5

1"!585#1005 10!00022"34 10!00593385

0!00"538 10!00234 0!085534029 10!00022"3 10!003"045822 10!0832"50"

0!05"804932 10!08553402 1"0!94"84 0!00593385 0!0832"50"02 18!92"959

%"0

10!00"0038" 0!00"538 0!05"80493"8

%

0!000"5380 0!000822"4 0!0""85403"5

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21/28

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22/28

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26/28

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arcos parabólicos biarticulados

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