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7/17/2019 Diseño y Curvas de Elementos
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Benemérita Universidad Autónoma de Puebla
Facultad de Ingeniería
Maestría en Estructuras
Análisis no lineal
Dr. Ing. Eduardo Ismael Hernández
Diseño Estructural y Graficas M-
Ing. Fausto !osmar Arriaga Mata
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Graficas Momento-ur"atura
#$%M&A' ( ) * DE +.*,+.,M
#& / "ar0, y E012(+cm
F3c4 *,+ 5g6cm*
Fy4 *++ 5g6cm*
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78A9E' 7( y 7* DE +.*,:+.,,m
7(4 0/ con E012*,cm
7*4 *0/ *0, E012*,cm
F3c4 *,+ 5g6cm*
Fy4 *++ 5g6cm*
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ANEXOS:
TRABE SUPERIOR
T2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
DATOS GENERALES
&orma de Diseño 4 AI 1(<-*++,
Estados de !ar"a !onsiderados( = (.M>(.?
* = (.(M>(.(?8>(.('
1 = (.(M>(.(?8-(.('
= (.(M>(.(?8>+.11'
, = (.(M>(.(?8-+.11'
8iesgo sísmico 4 8iesgo 9a@o
#aterialesHormignB fCc 4 *,+.++ g6cm* Acero longitudinalB fy 4 *++.++ g6cm*
7io de concreto 4 &ormal Acero trans"ersalB fyt 4 *++.++ g6cm*
Mdulo de elasticidad ormign 4 (+++.++ g6... Mdulo de elasticidad acero 4 *(+++++.++ g...
Jeso unitario 4 *++.++ g6m1 8ecuKrimiento e:ico 4 &o
DATOS $ RESULTADOS
Estatus 4 9ien
Geometr%a
E&e Pos !olumna An!'o in(erior An!'o su)erior Dist *cm cm m
-------------------------------------------------------------------------------------------------------------------------
( entro ,.++ +.++ +.++
* entro ,.++ +.++ <.++
-------------------------------------------------------------------------------------------------------------------------
Tramo Dist entre e&es #iembro No Se!!ión b ' b+ '( m cm cm cm cm
---------------------------------------------------------------------------------------------------------------------------------------------------------
(-* <.++ / *,.++ ,,.++ -- --
---------------------------------------------------------------------------------------------------------------------------------------------------------
Armadura
8ecuKrimiento liKre 4 *.++ cm
Re(uer,o lon"itudinal
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Gru)o -antidad Di.metro Pos E&e Re(/ 0 Dist0 E&e Re(/ 2 Dist2 Gan!'o0 Gan!'o2m m
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( * 0, Inferior ( -+.*( * +.*( 'i 'i
* * 0/ 'uerior ( -+.*( * +.*( 'i 'i
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Lon"itudes de an!la&e 1 em)alme
Gru)o Di.metro Ld Ld' L/ Em)alme L/ totalcm cm cm m
---------------------------------------------------------------------------------------------------------------------------
( 0, /.++ *.++ <.++ <.<
* 0/ (++.++ *<.++ (1+.++ <.L
---------------------------------------------------------------------------------------------------------------------------
Re(uer,o transversal
Tramo Di.metro -antidad Ramas -erradocm
-------------------------------------------------------------------------------------------------------------------------
(-* 01 1( *,.++ * 'i
-------------------------------------------------------------------------------------------------------------------------
Se)ara!ión ini!ial de estribos
Tramo S ini!ial Sin limcm cm
------------------------------------------------------------
+-( *.,+ */.,+
------------------------------------------------------------
D3SE4O 5LE63ON
Tramo 072 #iembro No 8
Jorcenta@e de redistriKucin de momentos4 Aoyo A = +.++ Aoyo 9 = +.++
uantía geomNtrica má:ima4 ρ ma:su = (.< ρ ma:inf = (.<
'earacin límite entre Karras or fisuracin4 sK lim = 1+./( cm
#omentos (le!tores )ositivos
Esta!ión dcm #u7onOmφ
9#n7onOm Asre: cm* As)rov cm*ρ
;<= sb cm #u>;φ
9#
&o. Dist
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( + ,(.*, +.++ .,( +.++ .++ +.1( (1.+ +.
* (+ ,(.*, +.++ .,( +.++ .++ +.1( (1.+ +.*
1 *+ ,(.*, +./ .,( +.,* .++ +.1( (1.+ +.
1+ ,(.*, 1.+ .,( *.1 .++ +.1( (1.+ +.
, + ,(.*, .L< .,( 1.,+ .++ +.1( (1.+ +.
/ ,+ ,(.*, ,.,( .,( 1.<< .++ +.1( (1.+ +.
/+ ,(.*, .L< .,( 1.,+ .++ +.1( (1.+ +.
< + ,(.*, 1.+ .,( *.1 .++ +.1( (1.+ +.
L <+ ,(.*, +./ .,( +.,* .++ +.1( (1.+ +.(+ L+ ,(.*, +.++ .,( +.++ .++ +.1( (1.+ +.*
(( (++ ,(.*, +.++ .,( +.++ .++ +.1( (1.+ +.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ ,(.*, +.++ .,( +.++ ?/@@ +.1( (1.+ +.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#omentos (le!tores ne"ativos
Esta!ión dcm #u7onOmφ9#n7onOm Asre: cm* As)rov cm*
ρ ;<= sb cm #u>;φ9#
&o. Dist
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( + ,(.(+ -.+ -(+.< .*< ,./< +. (1.1< +.
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* (+ ,(.(+ -*.L -(+.< *.+/ ,./< +. (1.1< +.*
1 *+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
1+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
, + ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
/ ,+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
/+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
< + ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
L <+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
(+ L+ ,(.(+ -*.L -(+.< *.+/ ,./< +. (1.1< +.*
(( (++ ,(.(+ -.+ -(+.< .*< ,./< +. (1.1< +.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ ,(.(+ -.+ -(+.< .*< ,./< +. (1.1< +.-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
TRABE INFERIOR
T0 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
DATOS GENERALES
&orma de Diseño 4 AI 1(<-*++,
Estados de !ar"a !onsiderados( = (.M>(.?
* = (.(M>(.(?8>(.('
1 = (.(M>(.(?8-(.('
= (.(M>(.(?8>+.11'
, = (.(M>(.(?8-+.11'
8iesgo sísmico 4 8iesgo 9a@o
#aterialesHormignB fCc 4 *,+.++ g6cm* Acero longitudinalB fy 4 *++.++ g6cm*
7io de concreto 4 &ormal Acero trans"ersalB fyt 4 *++.++ g6cm*
Mdulo de elasticidad ormign 4 (+++.++ g6... Mdulo de elasticidad acero 4 *(+++++.++ g...
Jeso unitario 4 *++.++ g6m1 8ecuKrimiento e:ico 4 &o
DATOS $ RESULTADOS
Estatus 4 9ien
Geometr%a
E&e Pos !olumna An!'o in(erior An!'o su)erior Dist *cm cm m
-------------------------------------------------------------------------------------------------------------------------
( entro ,.++ ,.++ +.++
* entro ,.++ ,.++ <.++
-------------------------------------------------------------------------------------------------------------------------
Tramo Dist entre e&es #iembro No Se!!ión b ' b+ '( m cm cm cm cm
---------------------------------------------------------------------------------------------------------------------------------------------------------
(-* <.++ 1 *,.++ ,,.++ -- --
---------------------------------------------------------------------------------------------------------------------------------------------------------
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Armadura
8ecuKrimiento liKre 4 *.++ cm
Re(uer,o lon"itudinal
Gru)o -antidad Di.metro Pos E&e Re(/ 0 Dist0 E&e Re(/ 2 Dist2 Gan!'o0 Gan!'o2m m
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( * 0/ Inferior ( -+.*( * +.*( 'i 'i
* * 0/ 'uerior ( -+.*( * +.*( 'i 'i
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Lon"itudes de an!la&e 1 em)alme
Gru)o Di.metro Ld Ld' L/ Em)alme L/ totalcm cm cm m
---------------------------------------------------------------------------------------------------------------------------
( 0/ <.++ *<.++ (++.++ <.L
* 0/ (++.++ *<.++ (1+.++ <.L
---------------------------------------------------------------------------------------------------------------------------
Re(uer,o transversal
Tramo Di.metro -antidad Ramas -erradocm
-------------------------------------------------------------------------------------------------------------------------
(-* 01 1( *,.++ * 'i
-------------------------------------------------------------------------------------------------------------------------
Se)ara!ión ini!ial de estribos
Tramo S ini!ial Sin limcm cm
------------------------------------------------------------
+-( *.,+ */.,+
------------------------------------------------------------
D3SE4O 5LE63ON
Tramo 072 #iembro No
Jorcenta@e de redistriKucin de momentos4 Aoyo A = +.++ Aoyo 9 = +.++
uantía geomNtrica má:ima4 ρ ma:su = (.< ρ ma:inf = (.<'earacin límite entre Karras or fisuracin4 sK lim = 1+./( cm
#omentos (le!tores )ositivos
Esta!ión dcm #u7onOm φ9#n7onOm Asre: cm* As)rov cm* ρ ;<= sb cm #u>;φ9#
&o. Dist
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( + ,(.(+ +.++ (+.< +.++ ,./< +. (1.1< +.
* (+ ,(.(+ +.++ (+.< +.++ ,./< +. (1.1< +.
1 *+ ,(.(+ +.,, (+.< +.1< ,./< +. (1.1< +.
1+ ,(.(+ 1.<* (+.< *./< ,./< +. (1.1< +.
, + ,(.(+ ,.L (+.< .+L ,./< +. (1.1< +.
/ ,+ ,(.(+ /. (+.< .*< ,./< +. (1.1< +.
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/+ ,(.(+ ,.L (+.< .+L ,./< +. (1.1< +.
< + ,(.(+ 1.<* (+.< *./< ,./< +. (1.1< +.
L <+ ,(.(+ +.,, (+.< +.1< ,./< +. (1.1< +.
(+ L+ ,(.(+ +.++ (+.< +.++ ,./< +. (1.1< +.
(( (++ ,(.(+ +.++ (+.< +.++ ,./< +. (1.1< +.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
+ ,(.(+ +.++ (+.< +.++ /8C +. (1.1< +.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
#omentos (le!tores ne"ativos
Esta!ión dcm #u7onOm φ9#n7onOm Asre: cm* As)rov cm* ρ ;<= sb cm #u>;φ9#
&o. Dist
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( + ,(.(+ -L.L( -(+.< ,.1, ,./< +. (1.1< +.
* (+ ,(.(+ -.+1 -(+.< *.<1 ,./< +. (1.1< +.
1 *+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
1+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
, + ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
/ ,+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
/+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
< + ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
L <+ ,(.(+ +.++ -(+.< +.++ ,./< +. (1.1< +.
(+ L+ ,(.(+ -.+1 -(+.< *.<1 ,./< +. (1.1< +.
(( (++ ,(.(+ -L.L( -(+.< ,.1, ,./< +. (1.1< +.
------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ,(.(+ -L.L( -(+.< ,.1, /8C +. (1.1< +.
-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
COLUMNAS
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-0 $ -2 ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
DATOS GENERALES
&orma de Diseño 4 AI 1(<-*++,
Estados de !ar"a !onsiderados en el diseo( 4 (.M>(.?
* 4 (.(M>(.(?8>(.('
1 4 (.(M>(.(?8-(.(' 4 (.(M>(.(?8>+.11'
, 4 (.(M>(.(?8-+.11'
/ 4 (.(M>(.(?
4 M>?8>'
< 4 M>?8-'
L 4 M>?8>+.1'
(+ 4 M>?8-+.1'
8iesgo sísmico 4 8iesgo 9a@o
#aterialesHormignB fCc 4 *,+.++ g6cm* AceroB fy 4 *++.++ g6cm*
7io de concreto 4 &ormal AceroB fyt 4 *++.++ g6cm*
Mdulo de elasticidad 4 (+++.++ g6... 7io de emalmes 4 7angencial
Jeso unitario 4 *++.++ g6m1 uantía mínima adotada 4 +.+(+8ecuKrimiento e:ico 4 &o uantía má:ima adotada 4 +.+<+
Estatus general 4 9ien
DATOS -OLU#NA 0
Geometr%a7io de seccin 4 8ectangular
Josicin de la columna 4 entro
Distancia entre ni"eles 4 1.++ m
Anco K P66 a e@e :Q 4 *,.++ cm
Alto P66 a e@e yQ 4 ,.++ cm
Armadura
$ongitudinal 4 /-0,
8ecuKrimiento liKre 4 *.,+ cm
As ro"ista 4 (*.++ cm*
uantía ro"ista 4 +.+((&Rmero de Karras 66 a la cara : 4 *
on una searacin entre Karras 4 (.L* cm
&Rmero de Karras 66 a la cara y 4 1
on una searacin entre Karras 4 (/./ cm
7rans"ersal 4 * 01 2 (+.++cm
&Rmero de ramas 66 a e@e : 4 1
&Rmero de ramas 66 a e@e y 4 *
'earacin inicial P'iniQ 4 +.++ cm
Par.metros de diseo
Esbelte, E&e 11 E&e **
-------------------------------------------------------
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$ucm 1++.++ 1++.++
(.++ (.++
lu6r (., *1.+L
m +.++ +.++
Jc7on *L.,( L+,./(
'Say 'i 'i
-------------------------------------------------------
Soli!ita!iones
Estado Ubi!a!ión Pu #u** #u11 * 1 -ar"a transversal
7on 7onOm 7onOm 7on 7on :: yy---------------------------------------------------------------------------------------------------------------------------------------------------------------------
( 'uerior -(,.L* -*. +.++ +.++ -(.1, &o &o
Inferior -(.+, (.1+ +.++ +.++ -(.1, &o &o
* 'uerior -(1.1* -.,/ +.++ +.++ (.+< &o &o
Inferior -(.*( -*./+ +.++ +.++ (.+< &o &o
1 'uerior -(+.(/ +./1 +.++ +.++ -1.+( &o &o
Inferior -((.+, . +.++ +.++ -1.+( &o &o
'uerior -(*.*( -*. +.++ +.++ -+.1, &o &o
Inferior -(1.(+ -+.(1 +.++ +.++ -+.1, &o &o
, 'uerior -((.*/ -(.(L +.++ +.++ -(.,< &o &o
Inferior -(*.(, (.LL +.++ +.++ -(.,< &o &o
/ 'uerior -(*.,( -*.(/ +.++ +.++ -(.+/ &o &o
Inferior -(1.+ (.+* +.++ +.++ -(.+/ &o &o
'uerior -(*.(( -.(, +.++ +.++ +.L< &o &o
Inferior -(*.L* -*.1 +.++ +.++ +.L< &o &o< 'uerior -L.*1 +., +.++ +.++ -*. &o &o
Inferior -(+.+ .+/ +.++ +.++ -*. &o &o
L 'uerior -((.(+ -*.L +.++ +.++ -+.1* &o &o
Inferior -((.L( -+.(* +.++ +.++ -+.1* &o &o
(+ 'uerior -(+.* -(.+< +.++ +.++ -(.1 &o &o
Inferior -((.+, (.<( +.++ +.++ -(.1 &o &o
---------------------------------------------------------------------------------------------------------------------------------------------------------------------
RESULTADOS -OLU#NA 0
Estatus de la columna 4 9ien
-om)resión bia*ial
Estado goKernante 4 1
Esfuerzos en Karras 4 fsT+
$ongitud de emalme 4 +.++ cm
'earacin liKre en emalme 4 (1.11 cm
Estado Pos/ Pu #!** #!11 ns** ns11 -m** -m117on 7onOm 7onOm
------------------------------------------------------------------------------------------------------------------------------------------------------
( 'u. -(,.L* -*. +.++ (.++ (.++ +.(+ (.+++
Inf. -(.+, (.1+ +.++ (.++ (.++ +.(+ (.+++
* 'u. -(1.1* -.,/ +.++ (.++ (.++ +.<*< (.+++
Inf. -(.*( -*./+ +.++ (.++ (.++ +.<*< (.+++
1 'u. -(+.(/ +./1 +.++ (.++ (.++ +./,/ (.+++
Inf. -((.+, . +.++ (.++ (.++ +./,/ (.+++
'u. -(*.*( -*. +.++ (.++ (.++ +./(L (.+++Inf. -(1.(+ -+.(1 +.++ (.++ (.++ +./(L (.+++
, 'u. -((.*/ -(.(L +.++ (.++ (.++ +.++ (.+++
Inf. -(*.(, (.LL +.++ (.++ (.++ +.++ (.+++
/ 'u. -(*.,( -*.(/ +.++ (.++ (.++ +.(+ (.+++
Inf. -(1.+ (.+* +.++ (.++ (.++ +.(+ (.+++
'u. -(*.(( -.(, +.++ (.++ (.++ +.<*< (.+++
Inf. -(*.L* -*.1 +.++ (.++ (.++ +.<*< (.+++
< 'u. -L.*1 +., +.++ (.++ (.++ +./,/ (.+++
Inf. -(+.+ .+/ +.++ (.++ (.++ +./,/ (.+++
L 'u. -((.(+ -*.L +.++ (.++ (.++ +./(L (.+++
Inf. -((.L( -+.(* +.++ (.++ (.++ +./(L (.+++
(+ 'u. -(+.* -(.+< +.++ (.++ (.++ +.++ (.+++
Inf. -((.+, (.<( +.++ (.++ (.++ +.++ (.+++
------------------------------------------------------------------------------------------------------------------------------------------------------
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Estado Pos/ φ9#n** φ9#n11 #!>;φ9#n= Pu>;φ9Pn= Asre:>As)rov Rela!ión de resisten!ia7onOm 7onOm
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
( 'u. -((.1, +.++ +.* +.(( +.L +.*
Inf. ((.,1 +.++ +.(( +.(( +.L +.((
* 'u. -(+.L, +.++ +.* +.+L +.L +.*
Inf. -((.+L +.++ +.*1 +.(+ +.L +.*1
1 'u. (+.1 +.++ +.+/ +.+ +.L +.+
Inf. (+.,L +.++ +.* +.+ +.L +.*
'u. -(+.< +.++ +.*, +.+< +.L +.*,
Inf. -(+.L* +.++ +.+( +.+L +.L +.+L
, 'u. -(+./* +.++ +.(( +.+< +.L +.((
Inf. (+. +.++ +.(L +.+< +.L +.(L
/ 'u. -(+.<* +.++ +.*+ +.+< +.L +.*+
Inf. (+.L/ +.++ +.+L +.+L +.L +.+L
'u. -(+./ +.++ +.1L +.+< +.L +.1L
Inf. -(+.<L +.++ +.** +.+L +.L +.**
< 'u. (+.* +.++ +.+/ +.+/ +.L +.+/
Inf. (+.( +.++ +.1L +.+ +.L +.1L
L 'u. -(+./+ +.++ +.* +.+ +.L +.*
Inf. -(+.1 +.++ +.+( +.+< +.L +.+<
(+ 'u. -(+., +.++ +.(+ +.+ +.L +.(+
Inf. (+.,L +.++ +.( +.+ +.L +.(
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
-orte
' adotado 4 (+.++ cm ' calculado 4 ((.*, cm
'ini adotado 4 +.++ cm 'ini calculado 4 ,./1 cm
Dir Estado Pos/ u ! s φ9n u>;φ9n=Gob/ 7on 7on 7on 7on
-----------------------------------------------------------------------------------------------------------------------------------------------* 1 'u. 1.+( L.< *,.1 */.(( +.(*
Inf. 1.+( L.,1 *,.1 */.(, +.(*
1 ( 'u. +.++ L.1 *+.(* **.(+ +.++
Inf. +.++ L.+ *+.(* **.( +.++
-----------------------------------------------------------------------------------------------------------------------------------------------
DATOS -OLU#NA 2
Geometr%a7io de seccin 4 8ectangular
Josicin de la columna 4 entro
Distancia entre ni"eles 4 1.++ m
Anco K P66 a e@e :Q 4 *,.++ cm
Alto P66 a e@e yQ 4 ,.++ cm
Armadura
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$ongitudinal 4 /-0,
8ecuKrimiento liKre 4 *.,+ cm
As ro"ista 4 (*.++ cm*
uantía ro"ista 4 +.+((
&Rmero de Karras 66 a la cara : 4 *
on una searacin entre Karras 4 (.L* cm
&Rmero de Karras 66 a la cara y 4 1
on una searacin entre Karras 4 (/./ cm
7rans"ersal 4 * 01 2 (+.++cm
&Rmero de ramas 66 a e@e : 4 1&Rmero de ramas 66 a e@e y 4 *
'earacin inicial P'iniQ 4 +.++ cm
Par.metros de diseo
Esbelte, E&e 11 E&e **
-------------------------------------------------------
$ucm 1++.++ 1++.++
(.++ (.++
lu6r (., *1.+L
m +.++ +.++
Jc7on *L.,( L+,./(
'Say 'i 'i
-------------------------------------------------------
Soli!ita!iones
Estado Ubi!a!ión Pu #u** #u11 * 1 -ar"a transversal 7on 7onOm 7onOm 7on 7on :: yy
---------------------------------------------------------------------------------------------------------------------------------------------------------------------
( 'uerior -/./( -.1< +.++ +.++ -*.</ &o &o
Inferior -. .*+ +.++ +.++ -*.</ &o &o
* 'uerior -,.< -,.1/ +.++ +.++ -+.</ &o &o
Inferior -/.1 (.* +.++ +.++ -+.</ &o &o
1 'uerior -.* -(.(, +.++ +.++ -1.1/ &o &o
Inferior -,.1( .* +.++ +.++ -1.1/ &o &o
'uerior -,.(( -1.<L +.++ +.++ -(.1 &o &o
Inferior -/.++ *., +.++ +.++ -(.1 &o &o
, 'uerior -.L -*./* +.++ +.++ -*.< &o &o
Inferior -,./< 1.,/ +.++ +.++ -*.< &o &o
/ 'uerior -,.(L -1. +.++ +.++ -*.*, &o &o
Inferior -/.+< 1.1+ +.++ +.++ -*.*, &o &o
'uerior -.L< -.< +.++ +.++ -+.< &o &o
Inferior -,.L (.*L +.++ +.++ -+.< &o &o
< 'uerior -.+* -(.+ +.++ +.++ -1.+, &o &o
Inferior -.<1 .*L +.++ +.++ -1.+, &o &o
L 'uerior -./ -1.,1 +.++ +.++ -(., &o &o
Inferior -,., *.1 +.++ +.++ -(., &o &o
(+ 'uerior -.1/ -*.1< +.++ +.++ -*.*/ &o &o
Inferior -,.( 1.* +.++ +.++ -*.*/ &o &o
---------------------------------------------------------------------------------------------------------------------------------------------------------------------
RESULTADOS -OLU#NA 2
Estatus de la columna 4 9ien
-om)resión bia*ial
Estado goKernante 4 *
Esfuerzos en Karras 4 fsT+
$ongitud de emalme 4 +.++ cm
'earacin liKre en emalme 4 (1.11 cm
Estado Pos/ Pu #!** #!11 ns** ns11 -m** -m117on 7onOm 7onOm
------------------------------------------------------------------------------------------------------------------------------------------------------
( 'u. -/./( -.1< +.++ (.++ (.++ +.++ (.+++
Inf. -. .*+ +.++ (.++ (.++ +.++ (.+++
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* 'u. -,.< -,.1/ +.++ (.++ (.++ +.L (.+++
Inf. -/.1 (.* +.++ (.++ (.++ +.L (.+++
1 'u. -.* -(.(, +.++ (.++ (.++ +.,+1 (.+++
Inf. -,.1( .* +.++ (.++ (.++ +.,+1 (.+++
'u. -,.(( -1.<L +.++ (.++ (.++ +.++ (.+++
Inf. -/.++ *., +.++ (.++ (.++ +.++ (.+++
, 'u. -.L -*./* +.++ (.++ (.++ +.++ (.+++
Inf. -,./< 1.,/ +.++ (.++ (.++ +.++ (.+++
/ 'u. -,.(L -1. +.++ (.++ (.++ +.++ (.+++
Inf. -/.+< 1.1+ +.++ (.++ (.++ +.++ (.+++
'u. -.L< -.< +.++ (.++ (.++ +.L (.+++
Inf. -,.L (.*L +.++ (.++ (.++ +.L (.+++< 'u. -.+* -(.+ +.++ (.++ (.++ +.,+1 (.+++
Inf. -.<1 .*L +.++ (.++ (.++ +.,+1 (.+++
L 'u. -./ -1.,1 +.++ (.++ (.++ +.++ (.+++
Inf. -,., *.1 +.++ (.++ (.++ +.++ (.+++
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-orte
' adotado 4 (+.++ cm ' calculado 4 ((.*, cm
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7/17/2019 Diseño y Curvas de Elementos
http://slidepdf.com/reader/full/diseno-y-curvas-de-elementos 14/15
5e!'a A!tual +*6(+6*+(, ((4 a. m.
Sistema de unidades MNtrico
Nombre del ar!'ivo 4U%sersUIng8a;+++UDes5toU78-*.rcKU
Graficas Momento-ur"atura
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Fy4 *++ 5g6cm*
7/17/2019 Diseño y Curvas de Elementos
http://slidepdf.com/reader/full/diseno-y-curvas-de-elementos 15/15
78A9E' 7( y 7* DE +.*,:+.,,
F3c4 *,+ 5g6cm*
Fy4 *++ 5g6cm*
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