Porticos Isostaticos

UNIVERSIDAD TÉCNICA DE MANABÍ FACULTAD DE CIENCIAS MATEMATICES FÍSICAS Y QUÍMICAS PROYECTO DE ESTRUCTURA I

TEMA: PORTICOS ISOSTAT ISOSTATICOS Y ARCOS ARCOS ISOSTA ISOSTATICO TICO AUTOR: JOHAN MANUEL RODRÍGUEZ VÉLEZ

DOCENTE: ING. IVAN ZEVALLOS

SEXTO NIVEL “C” INGENIERÍA CIVIL

MAYO 2015 – SETIEMBRE 2015

TEMA: PORTICOS ISOSTATICOS

INTRODUCCI!N: La carrera de Ingener!a c"# de #a $ac%#&ad de Cenca' Ma&e()&ca'* $!'ca' + ,%!(ca' de #a Un"er'dad T-cnca de Mana! dee e' n%e'&r/ deer de 0/(en&ar e# e'1!r&% n"e'&ga&"/ 2%e n/' da c/(/ re'%#&ad/ #a n"e'&gac3n de 13r&c/' '/'&)&c/' 2%e e' e# re'%#&ad/ de# c/n/c(en&/. A &ra"-' de# &e(1/ en 4/(re c/n '% a0)n de c/n'&r%r ed0car a dea n%e"a' 0/r(a de 4acer e'a' dea' rea#dad 1/r e'&/' (/&"/' c%a#2%er ed0cac3n genera en&/nce' e# c)#c%#/ de #a ('(a #/ 13r&c/' '/n #a e'&r%c&%ra )'ca de c%a#2%er ed0cac3n / e'&r%c&%ra 'ea de ""enda* de &raa5/ 'e(1re c/(en6a de'de #/' 13r&c/'. En e# 1re'en&e 1r/+ec&/ n"e'&gare(/' '/re #/' 13r&c/' ar&c%#ad/'* de&a##are(/' a#g%na' 03r(%#a' + %n e5ercc/* 1er/ ()' n/' cen&rare(/' en #a c/nce1&%a#6ac3n de 2%e '/n #/' 13r&c/'* 13r&c/' '/'&)&c/' 2%e e' #/ 2 'e redac&a en e# 'g%en&e 1r/+ec&/ a#g/ re"e + c/ncre&/. L/' 13r&c/' '/'&)&c/' 0/r(an 1ar&e 0%nda(en&a# de# e'&%d/ de #a (a&era de E'&r%c&%ra I 1ara c/n e##/ c%(1#r c/n #/' &e(a' e'&a#ecd/' 1ara e'&e n"e#.

Estructura I - ingeniería civil

OB"ETIVOS

OB"ETIVO GENERAL •

In"e'&gar acerca de #/' a'1ec&/' genera#e' de #/' P3r&c/'

OB"ETIVOS ESECÍFICOS Indagar #/' c/nce1&/' de P3r&c/'* cen&r)nd/'e e'1eca#(en&e en #/' P3r&c/' I'/'&)&c/'. Ana#6ar acerca de #/' 13r&c/' + 1re'en&ar e5ercc/' de a1#cac3n de arc/' &rar&c%#ad/' en #a' e'&r%c&%ra'. Hacer %n &r!1&c/ acerca de #/' 13r&c/' cen&r)nd/'e en #/' 13r&c/' '/'&)&c/'


MARCO TEORICO !RTICOS E# e#e(en&/ c/n0/r(ad/ 1/r #a c/n5%gac3n de c/#%(na' + "ga'. E# ''&e(a e'&r%c&%ra# de 13r&c/' 1er(&e %na gran #er&ad en #/' e'1ac/'* +a 2%e #a' c/#%(na' e'&)n a'#ada' en 'en&d/ #/ng&%dna#. L/' 13r&c/' 0%nc/nan c/(/ e'&r%c&%ra# 1#ana' +a 2%e #a' acc/ne'* reacc/ne' #%ce' + de0/r(ac/ne' 'e dan en %n ('(/ 1#an/.

!RTICOS ISOST#TICOS Genera#(en&e 'e c/n'&r%+en #/' 13r&c/' r!gd/' c/n %n a#&/ grad/ de nde&er(nac3n e'&)&ca. E# e'&%d/ en e'&e ca1!&%#/ de 13r&c/' r!gd/' de&er(nad/' e' ()' de n&er-' acad-(c/ 2%e 1rac&c/ + 'r"e c/(/ 1re#%d/ 1ara e# c)#c%#/ de #/' 13r&c/' nde&er(nad/'. Para ana#6ar %n 13r&c/ '/'&)&c/* 'e e(1e6a 1/r /&ener #a' c/(1/nen&e' de #a' reacc/ne' 1ar&end/ de #a' ec%ac/ne' de #a e'&)&ca a1#cada' a #a e'&r%c&%ra c/(1#e&a. Hec4/ e'&/* 'e 1%eden de&er(nar #a 0%er6a c/r&an&e* e# (/(en&/ + #a 0%er6a a7a# en c%a#2%er 'ecc3n de# 13r&c/* &/(and/ e# '3#d/ a'#ad/ 'e1arad/ 1/r e'&a 'ecc3n + a1#cand/ #a' ec%ac/ne' de e2%#r/. T/(and/ c/(/ e5e #a' a'c'a' e# e5e cen&ra# de cada arra* 'e 1%eden d%5ar #/' dagra(a' de #a 0%er6a c/r&an&e* e# (/(en&/ 0#ec&/r + #a 0%er6a a7a# 1ara e# 13r&c/ r!gd/. S( e(arg/* e' e# dagra(a de (/(en&/ 0#ec&/r e# 2%e ()' n/' n&ere'a en e# an)#'' de 13r&c/' r!gd/'.

TIOS DE !RTICOS ISOST#TICOS !RTICOS BIAOYADOS ATIRANTADOS La 0g%ra re1re'en&a %na e'&r%c&%ra &1/ 13r&c/ en #a c%a# #/' n/d/' de #/' a1/+/' e'&)n* a '% "e6* %nd/' en&re '! (edan&e %n &ran&e* e#e(en&/ 2%e* 1/r de0nc3n* '/#/ &raa5a a &racc3n. C/n'd-re'e e# ca'/ de %na e'&r%c&%ra c/(/ #a (/'&rada en #a 0g%ra8


Para ana#6ar e'&a e'&r%c&%ra* 'e

re&ra de e##a e# &ran&e

'%'&&%+-nd/#/ 1/r '% e0ec&/ '/re #a ('(a8 e' decr* 1/r d/' 0%er6a' $ g%a#e' + /1%e'&a'. La c/ndc3n /"a de c/(1a&#dad e' 2%e e# (/"(en&/ re#a&"/ en&re #/' n/d/' de a1/+/ 4a de 'er g%a# a# a#arga(en&/ de# &ran&e '/(e&d/ a #a' 0%er6a' $ de &racc3n* a#arga(en&/ UA 2%e e'&) re#ac/nad/ c/n #a 0%er6a ac&%an&e (edan&e #a e71re'3n

Para a1#car e# Te/re(a de Rec1r/cdad 'e c/n'deran d/' e'&ad/'8 %n/ e# e'&ad/ rea# de carga' + /&r/ %n e'&ad/* den/(nad/ 0c&c/* en e# 2%e #a' carga' '/n d/' 0%er6a' %ndad* g%a#e' + /1%e'&a'* ac&%and/ en #/' 1%n&/' A + 9* &a# c/(/ 'e ndca en #a 0g%ra.

APLICACI:N DEL TEOREMA DE RECIPROCIDAD

La c/ndc3n de c/(1a&#dad 2%e an&e' 'e d5/* '%1/nend/ 2%e $ e' de &racc3n* re'%#&a 'er8


Y 1/r &an&/8

C/n #/ c%a#8

N3&e'e 2%e e'&a ;#&(a ec%ac3n c/nd%ce a #a c/nc#%'3n de 2%e* 1ara re'/#"er e# 1r/#e(a* '3#/ e' nece'ar/ re'/#"er e# e'&ad/ II.

!RTICOS ISOST#TICOS TRASLACIONALES C/n'd-re'e %na e'&r%c&%ra c/(/ #a de #a 0g%ra< dad/ 2%e #a' c/acc/ne' e7&erna' '/n = + #/' grad/' de #er&ad e7&ern/' '/n* &a(-n* =* #a e'&r%c&%ra e' '/'&)&ca 'end/* 1/r e##/* '%0cen&e' #a' ec%ac/ne' de #a E'&)&ca 1ara /&ener #a' reacc/ne'. Sn e(arg/* dada '% ge/(e&r!a a'(-&rca + #a' carga' 2%e '/re e##a ac&;an* #a e'&r%c&%ra e' e"den&e(en&e &ra'#ac/na#.

T/(and/ (/(en&/' en D 'e

1%ede /&ener #a reacc3n "er&ca#

en A C/n #/ c%a# #a #e+ de (/(en&/' 0#ec&/re' e' '%(a a#geraca de #a' #e+e' de (/(en&/' 0#ec&/re' deda' a P + a YA.

S #a e'&r%c&%ra e'&%"era

E# (/"(en&/ "er&ca# de A 'er!a8 Estructura I - ingeniería civil

e(1/&rada en D8

>Per/ A n/ 1%ede '%0rr de'1#a6a(en&/' "er&ca#e'?

C/n #/ c%a# Y e# de'1#a6a(en&/ 4/r6/n&a# de A re'%#&a8

AN#LISIS DE !RTICOS ISOST#TICOS C/n''&e en #a de&er(nac3n de #a' reacc/ne' de "!nc%#/ + e# &ra6ad/ de dagra(a' de e'0%er6/' n&ern/'. Se 1%eden a1#car &re' 1r/ced(en&/'8

M$%&'& ()*+&,*-*./%&,

C/n''&e en de&er(nar ana#!&ca(en&e #/' "a#/re' de

e'0%er6/ n&ern/ en 'ecc/ne' c/rre'1/nden&e' a #a' 'ng%#are' de# 13r&c/'.

M$%&'& ()*+&, C/n''&e en #a de'c/(1/'c3n gra0ca de #a' 0%er6a' ac&%an&e' en cada &ra(/ de# 13r&c/ en d/' c/(1/nen&e'* %na c/r&an&e + /&ra n/r(a# a# 1#an/ de #a' 'ecc/ne' de e'&e &ra(/. C/n e'&/' c/(1/nen&e' 'e &ra6an* 1ara cada &ra(/* #/' dagra(a' , + N< %n 0% de #a' c/(1/nen&e' &angenca#e' 1er(&e e# &ra6ad/ de# dagra(a.

M$%&'& *-*./%&, C/n''&e en ca#c%#ar n%(-rca(en&e e# "a#/r de# e'0%er6/ n&ern/ 2%e 'e c/n'dere 1ara %na 'ere de 'ecc/ne' c/n"enc/na#(en&e e#egda'. Se re1re'en&an dc4/' "a#/re' (edan&e /rdenada' c/nec&ada' + 1ara#e#a' a #a' c/rre'1/nden&e' 'ecc/ne'* %nend/ '%' &ra(/' (edan&e' %na c%r"a c/n&n%a* 2%e* re0erda a# e5e n/' da e# dagra(a %'cad/. Re'%#&a c/n"enen&e en #/' &ra(/'* 1/r na&%ra#e6a de #a' carga' n/ '/n de a1#cac3n de /&r/' (-&/d/'


EJEMPLO8


CONCLUSIONES

•

In"e'&ga(/' '/e #/' a'1ec&/' genera#e' de #/' 13r&c/' + 'e 1%d/ c/(1render #/ &an a(1#/ 2%e &an a(1#/ e' e'&e &e(a* 2%e 0/r(a 1ar&e de #/' c/n/c(en&/

•

de &/d/ ngener/ c"#. Se ana#6ar/n acerca de #/' P3r&c/' I'/'&)&c/' + 1ara '% rea#6ac3n 'e dee

•

rea#6ar a+%d)nd/'e c/n #a' ec%ac/ne' de #a e'&)&ca. P/de(/' c/nc#%r 2%e #a rea#6ac3n de e'&e &1/ de &raa5/' e' de "&a#

•

(1/r&anca 1ara re0/r6ar + '%'&en&ar #/' c/n/c(en&/' ad2%rd/' en c#a'e. A# 4acer e# &r!1&c/ de dee %'car + 'er (%c4/ ()' 1rec'/ c/n #a n0/r(ac3n 2%e 'e "a a c/#/car en e# ('(/ n/' 1er(&r) 'er ()' c#ar/ ' c/n/ce(/' ()' a0/nd/ #/ 2%e n"e'&ga(/'.

RECOMENDACIONES

•

Se rec/(enda &ener c%dad/ a# (/(en&/ de 4acer #/' &r!1&c/' 1ara e"&ar 1/ner

•

n0/r(ac3n 2%e n/ 'er) de a+%da 0%&%ra. Rec/(enda(/' 2%e #/' e'&%dan&e' n"e'&g%en en "ar/' #r/' + 1)gna' de n&erne& a 0n de &ener %n rang/ ()' a(1#/ de rec%r'/' a %&#6ar* &enend/ en

•

c%en&a 2%e n/ &/da' #a' 1)gna' '/n @B c/n0a#e'. Rea#6ar c/n &e(1/ #a n"e'&gac3n +a 2%e e'&/ 1er(&r) 2%e 'e a%(en&e e# c/n/c(en&/ de e'&e &e(a + genere 0ac#dad a# (/(en&/ de rea#6ar e'&e 1r/+ec&/.


BIBLIOGRAFÍA: 4&&18e'.'#de'4are.ne&Sa(rA%g%'&/Vda#arc/'@FF Te/r!a E#e(en&a# de E'&r%c&%ra Ya%n Y% H'e4 A1/+/ dd)c&c/ 1ara #a en'ean6a + a1rend6a5e de #a a'gna&%ra de e'&r%c&%ra' I'/'&)&ca'  Denn' T/rrc/ + Ra;# Lend/ Udae&a E'&r%c&%raAn)#'' + D'e/ (-&/d/' c#)'c/' + (a&rca#e'* TOMO @ JacK McC/r(ac + R%d/#0 E. E##ng 4&&18%nca"(@.%nc.ed%.ar1#%gn0#e.141F(/dre'/%rcec/n&en&ESTRUCTURASE NARCO.1d0 4&&18e'.'crd.c/(d/c@=Arc/'Trar&c%#ad/''crd


Porticos Isostaticos

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