207337255-ALBANILERIA-CONFINADA.xlsx

ANALISIS Y DISEÑO DE UN EDIFICIO DE DE ALBAÑILERIA ALBAÑILERIA ARMADA Y CONFINADA CONFINADA

I.- CARACTERISTICAS DEL EDIFICIO

La figuara corresponde a una planta de un edificio de 3 niveles destinado a uso de vivienda ubicado en Moquegua se pide diseñar los muros en X y Y bao las siguientes condiciones! 10

LAVANDERIA

DORMITORIO 3 DORMITORIO PRINCIPAL SALA SALA

24 BAÑO

HALL

COMEDOR BAÑO

DORMITORIO 1

SALA

1.1 Caracteristicas Geometricas 8e consideraran las siguientes dimensiones en las estructuras@ en cuanto al espesor efectivo se verificara que cumpla con lo dispuesto en la :orma!

"tura libre de "lbañileria #

2.5 m

por estar ubicado en $ona sismica se considerara# t 

h 20



2%0 20

&

12!%

&

0!12%

Predimensionamiento de losas Macizas

' & 12 o 13 cm para luces menores o iguales a 4 mts h = 15 cm para luces menores o iguales a 5.5 mts ' & 20 cm o (ara luces menores o iguales a )!% mts ' losa &

0!1%

1.2 Caracteristicas de los materiales Los materiales que se emplearan en esta construccion de este edificio presentan las siguientes caracteristicas# Concreto: 8egAn reglamento se utili$ara f+c B 1,%-g.cm2 esisten esistencia cia nominal nominal a la compres compresion ion f+c 1,% -g.cm2 -g.cm2 0!1,% 0!1,% ton . cm2

Modul Modulo o de elast elastic icid idad ad #/c #/c

1%000 1%000

-g.c -g.cm m

Acero: /sfu /sfuer$ er$o o de fluen fluenci cia a y & 4200 4200 -g . cm 2 Albañileria: f+m & )% g. cm2 Modu Modulo lo de cort corte e m & 0!45 0!45/m /m

&

/c & 1431 1431!34 !34  g.cm g.cm2 2

4!2 ton.c ton.cm2 m2

/m & m &

32%00 1300 13000 0

g.cm2 g. g. cm

1. Cargas !nitarias

6oncreto armado Losa maci$a 8obrecarga 8obrecarga de "$otea 8obrecarga 8obrecarga de 9ivienda 9ivienda Muros Muros de albañ albañilileri eria a tarra tarrae eada ada 2.- ESTRUCTURACION ESTRUCTURACION

:ive :ivele less & 3 piso pisoss ;!
=>/"L

# L"*? & ":6;?

2!4 to ton. m3 2!4 to ton. m3 7 0!1 ton.m2 0!2% ton.m2 1! 1! tn.m2 tn.m2 7

0!1% &

0!3)0 to ton .m 2

"6/(<"CL/# "6/(<"CL/# L"*? D 45 ":6 2$ M"L? # L"*? B 45 ":6;?

%

$&

Aceptable

%

&

Aceptable

%

$&

Aceptable

2.$ "elaci#n altura ' ancho :

=>/"L # "L
=>/"L # L"*? & ":6;? "6/(<"CL/# "6/(<"CL/# L"*? D 45 ":6 2$ M"L? # L"*? B 45 ":6;?

)*+"!C+!"AC,- ) P/A+A 2.0 ensidad Minima de muros Ls densidad Minima de muros a refor$ar en cada direccion del edificio se obtendra mediante la siguiente e7presion

area . de . corte . delos . muros . reforzados Area Area . de .la . planta .tipica

onde:  = factor de $ona ! = factor de uso * = factor de suelo  = numero de pisos Ap = area de la plnata tipica / = longitud del muro confinado t = espesor efectivo del muro area . de . corte . delos . muros Area . de . la . planta

. reforzados . tipica

M!"-* ) 3 M!"- / m6 t m6 2!4 0!14 0!14 M!"- 3'1 2!4 M!"- 3'2 3!% 0!14 3 0!14 M!"- 3' 1! 0!14 0!14 M!"- 3'$ 1! 1!)% 0!14 0!14 M!"- 3'5 1!)% 2 0!14 M!"- 3'0 1!% 0!14 0!14 M!"- 3'( 1!% 1!4 0!14 0!14 M!"- 3'7 1!4

rea de cort

cm26 0!33 0!33) ) 0!4 0! 0!42 0!2) 0!2)) ) 0!231 0!231 0! 0!2 0!2,3 0!2,3 0!20, 0!20,

L*t= 2.5&



 L * t 

ZUSN

Ap Ap

0!4 1 1!4 3 220 0!14 



L * t Ap



0!030

M!"-* ) 4 M!"- / m6 t m6 %!30 0!14 0!14 M!"- 4'1 %!30 3!,0 0!14 0!14 M!"- 4'2 3!,0 4!0% 0!14 0!14 M!"- 4' 4!0% 4!10 0!14 0!14 M!"- 4'$ 4!10 !00 0!14 0!14 M!"- 4'5 !00 4!40 0!14 0!14 M!"- 4'0 4!40 10!43 3 0!14 0!14 M!"- 4'( 10!4 2!%0 0!14 0!14 M!"- 4'7 2!%0 2!%0 0!% 0!% P/ACA 4'1 2!%0 2!%0 0!% 0!% P/ACA 4'2 2!%0 4!10 0!14 0!14 M!"- 4'8 4!10 4!2% 0!14 0!14 M!"- 4'1& 4!2% 2!00 0 0!14 0!14 M!"- 4'11 4'11 2!0 )!1 0!14 0!14 M!"- 4'12 )!1 1!)0 0!14 0!14 M!"- 4'1 1!)0 S L*t=

cm26 0!,42 0!,42 0!%1 0!%1 0!%), 0!%), 0!%,4 0!%,4 1!12 1!12 0!)1) 0!)1) 1!4) 1!4) 0!3% 0!3% 2!13, 2!13, 2!13, 2!13, 0!%,4 0!%,4 0!% 0!%% % 0!2 0!2 0!) 0!), , 0!22 0!224 4 12.(0

56



(ara X # (ara Y #

0!011 0!0%

B B

0!030 cambiar seccion 0!030 o9

/n los Muros XF1@ XF%@ XF se 6onvertiran a placas por lo tanto se transformara su muro de concreto a albañileria t 

M!"-* ) 3 M!"- / m6 t m6 P/ACA 3'1 2!4 0!%% 3!% 0!14 M!"- 3'1 3! 3 0!14 M!"- 3'2 1! 0!14 0!14 M!"- 3. 1! P/ACA 3'2 1!)% 0!%% 2 0!14 M!"- 3'$ 1!% 0!14 M!"- 3'5 1! P/ACA 3' 1!4 0!%

Ec Em

* t 

M!"-* ) 4 M!"- / m6 t m6 ME*? YF1 %!30 0!14 ME*? YF2 3!,0 0! 0!14 ME*? YF3 4!0% 0! 0!14 ME*? YF4 4!10 4!10 0!14 0!14 ME*? YF% !00 0!14 ME*? YF) 4!40 0! 0!14 ME*? YF, 10!43 0!14 ME*? YF 2!%0 0!14 (L"6" YF1 2!%0 2!%0 0!% 0!% (L"6" (L" 6" YF2 2!%0 2!%0 0!% 0!% ME*? ME*? YF 4!10 4!10 0!14 0!14 ME*? YF10 4!2% 0!14 ME*? ME*? YF11 F11 2!00 2!00 0!14 0!14 ME*? YF12 )!1 0!14 ME*? ME*? YF13 F13 1!)0 1!)0 0!14 0!14

cm26 2!0%1 0! 0!4 0! 0!42 0!2) 0!2)) ) 1!41 0! 0!2 0! 0!2,3 1!2)%

L*t= )!,)

1,! 2 12 $.&7 0.10 2.& .2

0!%%

(ara X # (ara Y #

0!031 0!0%

cm26 %!44 3! 3 ! 4 4! 4!1 4!24 4!24 !14 4! 4!%4 10!%, 2!)4 3!3% 3!3% 3!3% 3!3% 4!24 4!24 4!3 2!14 2!14 )!33 1!,4 1!,4

)%!)2

L*t= )!14

B B

0!030 o9 0!030 o9

P"),M)*,-AM,)+- ) ,GA* Segun el reglamento peruano de concreto armado ( norma E. 060 ) La norma peruana de concreto concreto armado armado indican que las vigas deben de tener un ancho minimo de 0.25 m. para para el caso de que estas formen formen parte de porticos o elementos elementos sismo resistentes de estructuras de concreto armado. armado.

V-1

luces

Vigas principales que soportan el peso de la losa 1!( $!( Dimensiones Dimensiones Dimen. Final 0."#h 0.%#h (L/10  h  h ) ) h

6 %.& &.1 & ".'" ".%

0 .5 5 0 .4 9 0 . 7 0 . 6 0 . 6 0 . 5

0.16 0.15 0.11 0.11 0.11 0.11

0.27 0.25 0.19 0.1! 0.1! 0.1!

0.27 0.25 0.19 0.1! 0.1! 0.1!

0.55 0.49 0.7 0.6 0.6 0.5

0."0 0."0 0.$% 0.$% 0.$0 0.$0 0.$0 0.$0 0.$0 0.$0 0.$0 0.$0

0.60 0.60 0.%0 0.%0 0.&0 0.&0 0.&0 0.&0 0.&0 0.&0 0."% 0."%

V-1 V-$ V-" V-" V-" V-&

".6 0. 0.10 0.16 0.16 0. 0.$0 0.$0 0."% 0."% V - & ".&" 0.1 0.09 0.16 0.16 0.1 0.$0 0.$0 0."% 0."% V - & ".1 0.2! 0.0! 0.14 0.14 0.2! 0.1% 0.1% 0."0 0."0 V - % $.'" 0.27 0.0! 0.1 0.1 0.27 0.1% 0.1% 0."0 0."0 V - % $. 0.25 0.0! 0.1 0.1 0.25 0.1% 0.1% 0.$% 0.$% V - 6 $. 0.25 0.07 0.12 0.12 0.25 0.1% 0.1% 0.$% 0.$% V - 6 $.% 0.2 0.07 0.11 0.11 0.2 0.1% 0.1% 0.$% 0.$% V - 6 $."% 0.21 0.06 0.11 0.11 0.21 0.1% 0.1% 0.$% 0.$% V - 6 $.$% 0.20 0.06 0.10 0.10 0.20 0.1% 0.1% 0.$0 0.$0 V -  $.$ 0.20 0.06 0.10 0.10 0.20 0.1% 0.1% 0.$0 0.$0 V -  $

0.1% 0.$0 0.$0 V -  0.1! 0.05 0.09 0.09 0.1! 0.1%

1.' 0.1! 0.05 0.09 0.09 0.1! 0.1% 0.1% 0.$0 0.$0 V -  1.'" 0.1! 0.05 0.09 0.09 0.1! 0.1% 0.1% 0.$0 0.$0 V -  1." 0.17 0.05 0.0! 0.0! 0.17 0.1% 0.1% 0.$0 0.$0 V -  1.6" 0.15 0.04 0.07 0.07 0.15 0.1% 0.1% 0.1% 0.1% V -  1

0.1% 0.1% 0.1% V -  0.09 0.0 0.05 0.05 0.09 0.1%

1.1% 0.10 0.0 0.05 0.05 0.10 0.1% 0.1% 0.1% 0.1% V - 

. M)+"A- ) CA"GA*

0!14 0!1% 2!% 1! 2!4

t = t losa = h= P especi;ico = P esp. Concreto =

;
)%0 32%000 tn. m 2

1ER NIVEL )lemento

t

h

P/ACA 3'1 M!"- 3'1 M!"- 3'2 M!"- 3. P/ACA 3'2 M!"- 3'$ M!"- 3'5 P/ACA 3' M!"- 4'1 M!"- 4'2 M!"- 4' M!"- 4'$ M!"- 4'5 M!"- 4'0 M!"- 4'( M!"- 4'7 P/ACA 4'1 P/ACA 4'2 M!"- 4'8 M!"- 4'1& M!"- 4'11 M!"- 4'12

0!% 0!14 0!14 0!14 0!% 0!14 0!14 0!% 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!% 0!% 0!14 0!14 0!14 0!14

2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!%

/

2!400 3!%00 3!000 1!00 1!)%0 2!000 1!%0 1!40 %!300 3!,00 4!0%0 4!100 !000 4!400 10!42% 2!%00 2!%00 2!%00 4!100 4!2%0 2!000 )!10

Peso esp.

P)*+-+A/ >o6

1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1!

!23 2!21 1! 1!20 )!3% 1!2) 1!23 %!) 3!34 2!33 2!%% 2!% %!04 2!,, )!%, 1!% !)2 !)2 2!% 2!) 1!2) 3!0

3

4

1!%, !2 1!%0 , !04 0 !0 2 !2%  !0%  !04 0!0 2!33 4!0 4!) 10!0 0 !0 4 !0 )!1% , !3 1 0!0 , !1% 1 0!0  !1% 2 !41

,!%3 ,!3 11!%0 12!43 13!4 14!33 13!, 1!)3 2!)% %!) 2!0% )!0% 4!00 14!, 1)!)4 11!2% 10!3 11!2% 1%!,% 1)!,0 20!, 24!%%

>o 3

>o 4

1 4!4 1 !2 2!4 !43 %!,1 2!4 ! %1!4) 0!2% %!42 10!40 1 2!0 % 0!, 0!21 2)!,) !) ,)!21 )! 1!4, 2)! 10!2, !40

)!%1 1,!4 21!,4 14! %!%% 1!0) 1)!3 10)!0) !% 13!23 %!23 1%!)3 20!1) 40!) 10!2, 1,!,2 10%!0) 10!1 40!) 44!,1 2)!1 %!,4

M!"- 4'1 3 ' 11 3 ' 12 3 ' 1 3 ' 1$ 3 ' 15 3 ' 10 3 ' 1( 3 ' 17 3 ' 18 3 ' 2& 3 ' 21 4 ' 12 A/?), ' 1 A/?), ' 2 A/?), '  A/?), ' $ A/?), ' 5 A/?), ' 0 A/?), ' ( A/?), ' 7 A/?), ' 8 /-*A

0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!1%

SWoX

XCM 

SWo

SWo

CM 

SWo

2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 1! 1! 1! 1 1 1 1 1 1 220

1!)00 1!200 0!)00 0!)00 0!)00 0!)00 0!)00 0!,20 0!30 1!130 1!130 0!)%0 0!,00 1!100 1!000 0!%0 0!,)0 0!%30 1!)10 0!%0 2!1%0 1!0,0 1!000

1!01 0!,) 0!3 0!3 0!3 0!3 0!3 0!4% 0!% 0!,1 0!,1 0!41 0!44 0!%0 0!4% 0!3 0!1 0!13 0!41 0!21 0!%4 0!2, 10%!)0 2&1.1



0!0 0!,% 2!,0 4!4% 2!,0 4!30 4!30 ) !% 4!)1  !44  !44 , !%% 1!% 0!0 0 !0  !% 4 !) % !) 4 !) 0 !% 4 !0 3 !)0 %!00

,!20 3! 3! 3! )!%0 )!%0 ,!%0 10!0 11!%0 14!, 1)!00 1)!00 3! %!% 12!0, 14!2 1,!,3 1!)) 1!3 1!3 22!0 24!12 12!00 >oB3 =

0!0 0!%, 1!02 1!) 1!02 1!)3 1!)3 2! 2!,0 )!,2 )!,2 3!0 0!) 0!04 0!03 3!4% 0!% 0!,) 2!01 0!12 2!21 0!, %2!00 1&0.(8

F0!4,% F0!10%

e@ = e =

11.7$



1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 2 !4 >o =

/7centricidad calculada

5.155



Ky *  XCR SCR SKy X S K! *   S K!

2 )lemento

t

h

/ACA 3'1 M!"- 3'1

0!% 0!14

2!% 2!%

/

2!400 3!%00

Peso esp.

P)*+-+A/ >o6

1! 1!

!23 2!21

3

4

1!%, !2

,!%3 ,!3

>o 3

>o 4

14!4 1!2

)!%1 1,!4

,!2) 3!01 1!%0 1!%0 2!4) 2!4) 2!4 4!%, )!,4 10!%2 11!3 )!%% 1!,% 2!2 %!4 %!%0 3!3 2!4 ,!) 4!0% 12!41 )!%0 12),!20 271.8(

>oB4

M!"- 3'2 M!"- 3. /ACA 3'2 M!"- 3'$ M!"- 3'5 /ACA 3' M!"- 4'1 M!"- 4'2 M!"- 4' M!"- 4'$ M!"- 4'5 M!"- 4'0 M!"- 4'( M!"- 4'7 P/ACA 4'1 P/ACA 4'2 M!"- 4'8 !"- 4'1& !"- 4'11 !"- 4'12 !"- 4'1 3 ' 11 3 ' 12 3 ' 1 3 ' 1$ 3 ' 15 3 ' 10 3 ' 1( 3 ' 17 3 ' 18 3 ' 2& 3 ' 21 4 ' 12 A/?), ' 1 A/?), ' 2 A/?), '  A/?), ' $

0!14 0!14 0!% 0!14 0!14 0!% 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!% 0!% 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14

2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 1! 1! 1! 1

3!000 1!00 1!)%0 2!000 1!%0 1!40 %!300 3!,00 4!0%0 4!100 !000 4!400 10!42% 2!%00 2!%00 2!%00 4!100 4!2%0 2!000 )!10 1!)00 1!200 0!)00 0!)00 0!)00 0!)00 0!)00 0!,20 0!30 1!130 1!130 0!)%0 0!,00 1!100 1!000 0!%0 0!,)0

1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1!

1! 1!20 )!3% 1!2) 1!23 %!) 3!34 2!33 2!%% 2!% %!04 2!,, )!%, 1!% !)2 !)2 2!% 2!) 1!2) 3!0 1!01 0!,) 0!3 0!3 0!3 0!3 0!3 0!4% 0!% 0!,1 0!,1 0!41 0!44 0!%0 0!4% 0!3 0!1

1!%0 , !04 0 !0 2 !2%  !0%  !04 0!0 2!33 4!0 4!) 10!0 0 !0 4 !0 )!1% , !3 1 0!0 , !1% 1 0!0  !1% 2 !41 0!0 0!,% 2!,0 4!4% 2!,0 4!30 4!30 ) !% 4!)1  !44  !44 , !%% 1!% 0!0 0 !0  !% 4 !)

11!%0 12!43 13!4 14!33 13!, 1!)3 2!)% %!) 2!0% )!0% 4!00 14!, 1)!)4 11!2% 10!3 11!2% 1%!,% 1)!,0 20!, 24!%% ,!20 3! 3! 3! )!%0 )!%0 ,!%0 10!0 11!%0 14!, 1)!00 1)!00 3! %!% 12!0, 14!2 1,!,3

2!4 !43 %!,1 2!4 ! %1!4) 0!2% %!42 10!40 12!0 %0!, 0!21 2)!,) !) ,)!21 )! 1!4, 2)! 10!2, !40 0!0 0!%, 1!02 1!) 1!02 1!)3 1!)3 2! 2!,0 )!,2 )!,2 3!0 0!) 0!04 0!03 3!4% 0!%

21!,4 14! %!%% 1!0) 1)!3 10)!0) !% 13!23 %!23 1%!)3 20!1) 40!) 10!2, 1,!,2 10%!0) 10!1 40!) 44!,1 2)!1 %!,4 ,!2) 3!01 1!%0 1!%0 2!4) 2!4) 2!4 4!%, )!,4 10!%2 11!3 )!%% 1!,% 2!2 %!4 %!%0 3!3

A/?), ' 5 A/?), ' 0 A/?), ' ( A/?), ' 7 A/?), ' 8 /-*A

0!14 0!14 0!14 0!14 0!14 0!1%

SWoX XCM   SWo

SWo CM   SWo

1 1 1 1 1 220

0!%30 1!)10 0!%0 2!1%0 1!0,0 1!000

1! 1! 1! 1! 1! 2 !4 >o =

0!13 0!41 0!21 0!%4 0!2, 10%!)0 2&1.1

% !) 4 !) 0 !% 4 !0 3 !)0 %!00

1!)) 0!,) 1!3 2!01 1!3 0!12 22!0 2!21 24!12 0!, 12!00 %2!00 >oB3 = 1&0.(8

2!4 ,!) 4!0% 12!41 )!%0 12),!20 271.8(

%!1%% )@centricidad calculada e@ = F0!4,% e = F0!10%

11!43

3ER NIVEL )lemento

t

h

/ACA 3'1 M!"- 3'1 M!"- 3'2 M!"- 3. /ACA 3'2 M!"- 3'$ M!"- 3'5 /ACA 3' M!"- 4'1 M!"- 4'2 M!"- 4' M!"- 4'$ M!"- 4'5 M!"- 4'0 M!"- 4'( M!"- 4'7 P/ACA 4'1 P/ACA 4'2

0!% 0!14 0!14 0!14 0!% 0!14 0!14 0!% 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!% 0!%

2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!%

/

2!400 3!%00 3!000 1!00 1!)%0 2!000 1!%0 1!40 %!300 3!,00 4!0%0 4!100 !000 4!400 10!42% 2!%00 2!%00 2!%00

Ky S K! *   * X XCR SCR  S K! S Ky

Peso esp.

P)*+-+A/ >o6

1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1!

!23 2!21 1! 1!20 )!3% 1!2) 1!23 %!) 3!34 2!33 2!%% 2!% %!04 2!,, )!%, 1!% !)2 !)2

3

4

1!%, !2 1!%0 , !04 0 !0 2 !2%  !0%  !04 0!0 2!33 4!0 4!) 10!0 0 !0 4 !0 )!1% , !3 1 0!0

,!%3 ,!3 11!%0 12!43 13!4 14!33 13!, 1!)3 2!)% %!) 2!0% )!0% 4!00 14!, 1)!)4 11!2% 10!3 11!2%

>o 3

>o 4

14!4 1!2 2!4 !43 %!,1 2!4 ! %1!4) 0!2% %!42 10!40 12!0 %0!, 0!21 2)!,) !) ,)!21 )!

)!%1 1,!4 21!,4 14! %!%% 1!0) 1)!3 10)!0) !% 13!23 %!23 1%!)3 20!1) 40!) 10!2, 1,!,2 10%!0) 10!1

>oB4

M!"- 4'8 !"- 4'1& !"- 4'11 !"- 4'12 !"- 4'1 3 ' 11 3 ' 12 3 ' 1 3 ' 1$ 3 ' 15 3 ' 10 3 ' 1( 3 ' 17 3 ' 18 3 ' 2& 3 ' 21 4 ' 12 A/?), ' 1 A/?), ' 2 A/?), '  A/?), ' $ A/?), ' 5 A/?), ' 0 A/?), ' ( A/?), ' 7 A/?), ' 8 /-*A

0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!14 0!1%

SWoX XCM   SWo

SWo XCM   SWo

2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 2!% 1! 1! 1! 1 1 1 1 1 1 220

4!100 4!2%0 2!000 )!10 1!)00 1!200 0!)00 0!)00 0!)00 0!)00 0!)00 0!,20 0!30 1!130 1!130 0!)%0 0!,00 1!100 1!000 0!%0 0!,)0 0!%30 1!)10 0!%0 2!1%0 1!0,0 1!000

1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 1! 2 !4 >o =

2!% 2!) 1!2) 3!0 1!01 0!,) 0!3 0!3 0!3 0!3 0!3 0!4% 0!% 0!,1 0!,1 0!41 0!44 0!%0 0!4% 0!3 0!1 0!13 0!41 0!21 0!%4 0!2, 10%!)0 2&1.1

, !1% 1 0!0  !1% 2 !41 0!0 0!,% 2!,0 4!4% 2!,0 4!30 4!30 ) !% 4!)1  !44  !44 , !%% 1!% 0!0 0 !0  !% 4 !) % !) 4 !) 0 !% 4 !0 3 !)0 %!00

1%!,% 1!4, 40!) 1)!,0 2)! 44!,1 20!, 10!2, 2)!1 24!%% !40 %!,4 ,!20 0!0 ,!2) 3! 0!%, 3!01 3! 1!02 1!%0 3! 1!) 1!%0 )!%0 1!02 2!4) )!%0 1!)3 2!4) ,!%0 1!)3 2!4 10!0 2! 4!%, 11!%0 2!,0 )!,4 14!, )!,2 10!%2 1)!00 )!,2 11!3 1)!00 3!0 )!%% 3! 0!) 1!,% %!% 0!04 2!2 12!0, 0!03 %!4 14!2 3!4% %!%0 1,!,3 0!% 3!3 1!)) 0!,) 2!4 1!3 2!01 ,!) 1!3 0!12 4!0% 22!0 2!21 12!41 24!12 0!, )!%0 12!00 %2!00 12),!20 >oB3 = 1&0.(82 271.8(82

%!1%

11!4

e@ = e =

F0!4,% F0!10%

*   CR  S K! S K!

3.1 PESO TOTAL DE LA ESTRUCTUR A

>oB4

P)*- ) CA"GA M!)"+A 1)" ,)/ 201!13 2- ,)/ 201!13 )" ,)/ 201!13 P)*- ) CA"GA ,A ,)/ A")A *C 1)" ,)/ 220 0!2% 2- ,)/ 220 0!2% )" ,)/ 220 0!1

P)*%% %% 22 12

Para edi;icaciones de la categoria C se tomara el 25 de carga DiDa:

1)" ,)/ 2- ,)/ )" ,)/

+,P- ) CA"GA CM C 201!13 %% 201!13 %% 201!13 22 P)*- +-+A/

&.25

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212!12)12

0!)

25

214!,)12 214!,)12 20)!)2)12 00.(75 00(7.5

+ Eg

F =

2!%

)*C",P ,)/)* C,- 3 2 M!"- 4'5 1 M!"- 4'0

3 2 1

*,*M- *))"1,!2 44!, 30!34 1)%!43 3)!%% 3,,!44 ,!, 1!4) 13!1 ,1! 1%! 1)4!02

*,*M- M-)"A!) 22!40 1%!1, 2!,1 1!2, 1!,2

3! )!% ,!4

!,3 3%!4 2!01

M!"- 4'(

M!"- 4'7 P/ACA 4' 1 P/ACA 4' 2 M!"- 4'8 M!"- 4' 1& M!"- 4' 11 M!"- 4' 12 M!"- 4' 1

3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1

24!%1 41!%0 %0!00 2!,1 4!% %!%3 1)!%) 2!04 33!, 1)!%) 2!04 33!, )!4 11!,% 14!1% ,!3) 12!4) 1%!02 1!)4 2!, 3!3% 12!,4 21!% 2)!00 0!% 1!)1 1!4

)1!2, 22)!2 %1)!31 )!, 2%!04 %,!13 41!40 1%2! 34!2 41!40 1%2! 34!2 1,!3% )4!0) 14)!1, 1!40 ),!, 1%%!0 4!10 1%!1) 34!% 31!) 11,!), 2)!4, 2!3 !, 20!0%

12!2% 20!,% 2%!00 1!3) 2!30 2!,, !2 14!02 1)! !2 14!02 1)! 3!4, %!, ,!0 3!) )!23 ,!%1 0!2 1!3 1!), )!3, 10!, 13!00 0!4 0!1 0!,

30!)4 113!1% 2%!1% 3!3 12!%2 2!%, 20!,0 ,)!44 1,4!41 20!,0 ,)!44 1,4!41 !), 32!03 ,3!0 !20 33! ,,!%4 2!0% ,!% 1,!2 1%!3 %!3 134!23 1!1 4!3 10!03

A")A* +",!+A",A* *C = *C = Pe Cº = Pe Alb = '& t= t placa = Pe CH =

0!2% 0!1 0.36 1.8

tn/m2 tn/m3

2!% 0.13 0.85

2!4

m

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*C = *C = Pe = pesor los t= t=

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M!"- 3'1 Col. )@trema Col. )@trema M!"- 3'2

3!4 1!00

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b

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0!1% 0!1%

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C

0!1% 1!0 0!, 0!20 2!00 0!2%

Col. )@trema Col. )@trema M!"- 3. Col. )@trema Col. )@trema M!"- 3'$ Col. )@trema Col. ,nterior Col. )@trema M!"- 3'5 Col. )@trema Col. )@trema M!"- 4'1 Col. )@trema Col. ,nterior Col. )@trema M!"- 4'2 Col. )@trema Col. )@trema M!"- 4' Col. )@trema Col. )@trema M!"- 4'$ Col. )@trema Col. )@trema

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0!4 3!% 1!3

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0!1 1!2 0!)

0!0% 0!% 0!0%

0!1% 0!1% 0!1%

0!1% 1!20 0!34 0!1% 1!20 0!23 0!20 2!00 0!21

0!4 0!32 0!30

0!0) 0!0) 0!14

0!1% 0!1% 0!1%

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1!3 0!32 0!2,

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2!4, 0!14

0!, 0!0%

1!1) 3!,2 3!,

0!1% 0!1% 0!20

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0!42 1!34 1!33

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1!34 0! 1!%2

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1!33 2!) 0! 0!12

0!,4 2!%3 0!12 0!03

14!4, 0!34 4!21 3!4 %!%

0!1% 0!1% 0!1% 0!1% 0!20

0!2 0!2 0!2 0!1% 0!3%

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%!21 0!12 1!%2 1!2) 2!01

0!3 0!03 0!1) 0!10 0!%,

,!4% 14!4, 1!00

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2!%3 1!% 0!14

0!1%

0!1% 1!00 0!12

0!1

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0!1% 1! 0!21 0!40 3!% 1!,2

0!30 2!4

0!11 0!,4

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0!1% 0!20 0!2% 0!30 0!4 0!2% 0!40 0!2%

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0!0% 0!14 0!21 0!31 0!,4 0!2% 0!, 0!23

1!3) 0!0 0!4 3!2 0!0 0!,4 )!, 0!4

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2!%0 2!%0 4!10

4!2%

2!1

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1!% 2!)% 1!, 1!3)

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0!1% 1!32

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#: %n : Ct :

0.90 1.00 7.50 45.00

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Vivienda

Co%e&' para e$t(mar el per(oo preom(nante e !n e()(c(o

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   / +  AN9#LO Elemento 20

8

L 1 /$ 1 /$ 2 /$ .3 L 2 /$ 4 /$ 5 /$ 6 L 3

T



L

0.85 0.14 0.14 0.14 0.85 0.14 0.14 0.14 0.85

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

2.4 3.5 3 1.9 1.65 2 1.95 0.86 1.48

At m2 Alma m2 2.3400 0.9045 0.6810 0.6705 1.7160 0.7950 0.6773 1.4037 1.5886

1.9320 0.4800 0.4050 0.2400 1.3800 0.2550 0.2475 0.8823 1.3156

&

0 m4

%3/30

&'%Em/9;

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1.21 1.88 1.68 2.79 1.24 3.12 2.74 1.59 1.21

1.2198 1.5343 0.8070 0.3797 0.4676 0.4007 0.3792 6.2778 0.4004

4.269825654 3.394599057 6.453944651 13.71696954 11.13843741 12.99808668 13.73505626 0.829643081 13.00782551

3.234989648 13.02083333 15.43209877 26.04166667 4.528985507 24.50980392 25.25252525 7.083758359 4.750684099

40693.88645 19798.44285 14849.64613 8174.324651 20743.67953 8664.843444 8335.987702 5715.779511 18301.08535 145277.6756

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1.57 8.29 1.50 7.04 0.90 2.25 8.05 2.41 9.04

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7.53 7.93 11.50 12.43 13.48 14.33 13.78 24.55 18.63

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S K!

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

AN9#LO Elemento

8

/$ 1 /$ 2 /$ 3 /$ 4 /$ 5 /$ 6 /$ 7 /$ 8 L 1 L 2 /$ 9 /$ 10 /$ 11 /$ 12 /$ 13

T



L>

0.14 0.14 0.14 0.14 0.14 0.14 0.14 0.14 0.85 0.85 0.14 0.14 0.14 0.14 0.14

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

5.3 3.7 4.05 4.1 8 4.4 10.425 2.5 2.5 2.5 4.1 4.25 2 6.12 1.6

At m2 Alma m2 1.1415 0.921 0.8385 0.846 1.6815 1.1415 2.142 0.8565 2.366 2.3 0.981 2.0035 0.531 1.4037 0.471

0.75 0.51 0.5625 0.568 1.155 0.615 1.5195 0.33 2.162 2.3 0.57 0.5925 0.255 0.8823 0.195

&

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1.52 1.81 1.49 1.49 1.46 1.86 1.41 2.60 1.09 1.00 1.72 3.38 2.08 1.59 2.42

3.5755 1.7251 1.7092 1.763 11.8746 2.4369 21.8181 0.6682 1.289 1.1979 2.2178 2.4225 0.2981 6.2778 0.1731

1.456672726 3.019148648 3.047234574 2.954244659 0.438611266 2.137278236 0.238716173 7.794572483 4.040599948 4.347886579 2.348423362 2.1499828 17.47176563 0.829643081 30.08858078

8.333333333 12.25490196 11.11111111 11.00352113 5.411255411 10.16260163 4.11319513 18.93939394 2.890841813 2.717391304 10.96491228 10.54852321 24.50980392 7.083758359 32.05128205

33197.11939 21277.91824 22954.6592 23284.52884 55556.82171 26423.02231 74679.83086 12156.81934 46887.79206 45999.60615 24411.61319 25593.56194 7741.492362 40669.88447 5230.137068 466064.8071

0.08 2.33 4.08 4.68 10.08 0.08 4.08 6.15 7.93 10.08 7.15 10.08 8.15 2.41 0.08

2.65 5.68 2.05 6.05 4.00 14.78 16.64 11.25 10.93 11.25 15.75 16.70 20.78 24.55 7.20 S Ky * X

XCR 

S+"%:$ AN9#LO Elemento 20

8

L 1 /$ 1 /$ 2 /$ .3 L 2 /$ 4 /$ 5 /$ 6

T

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L

0.85 0.14 0.14 0.14 0.85 0.14 0.14 0.14

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

2.4 3.5 3 1.9 1.65 2 1.95 0.86

At m2 Alma m2 2.3400 0.9045 0.6810 0.6705 1.7160 0.7950 0.6773 1.4037

1.9320 0.4800 0.4050 0.2400 1.3800 0.2550 0.2475 0.8823

S Ky

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1.21 1.88 1.68 2.79 1.24 3.12 2.74 1.59

1.2198 1.5343 0.8070 0.3797 0.4676 0.4007 0.3792 6.2778

4.269825654 3.394599057 6.453944651 13.71696954 11.13843741 12.99808668 13.73505626 0.829643081

3.234989648 13.02083333 15.43209877 26.04166667 4.528985507 24.50980392 25.25252525 7.083758359

40693.88645 19798.44285 14849.64613 8174.324651 20743.67953 8664.843444 8335.987702 5715.779511

1.57 8.29 1.50 7.04 0.90 2.25 8.05 2.41

7.53 7.93 11.50 12.43 13.48 14.33 13.78 24.55

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2.5

1.48

1.5886

1.3156

1.21

0.4004 13.00782551 4.750684099 18301.08535 145277.6756

9.04

18.63

S Ky * X

XCR 

AN9#LO Elemento

8

/$ 1 /$ 2 /$ 3 /$ 4 /$ 5 /$ 6 /$ 7 /$ 8 L 1 L 2 /$ 9 /$ 10 /$ 11 /$ 12 /$ 13

T



L>

0.14 0.14 0.14 0.14 0.14 0.14 0.14 0.14 0.85 0.85 0.14 0.14 0.14 0.14 0.14

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

5.3 3.7 4.05 4.1 8 4.4 10.425 2.5 2.5 2.5 4.1 4.25 2 6.12 1.6

At m2 Alma m2 1.1415 0.921 0.8385 0.846 1.6815 1.1415 2.142 0.8565 2.366 2.3 0.981 2.0035 0.531 1.4037 0.471

0.75 0.51 0.5625 0.568 1.155 0.615 1.5195 0.33 2.162 2.3 0.57 0.5925 0.255 0.8823 0.195

&

0 m4

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&'%Em/9;

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

>

1.52 1.81 1.49 1.49 1.46 1.86 1.41 2.60 1.09 1.00 1.72 3.38 2.08 1.59 2.42

3.5755 1.7251 1.7092 1.763 11.8746 2.4369 21.8181 0.6682 1.289 1.1979 2.2178 2.4225 0.2981 6.2778 0.1731

1.456672726 3.019148648 3.047234574 2.954244659 0.438611266 2.137278236 0.238716173 7.794572483 4.040599948 4.347886579 2.348423362 2.1499828 17.47176563 0.829643081 30.08858078

8.333333333 12.25490196 11.11111111 11.00352113 5.411255411 10.16260163 4.11319513 18.93939394 2.890841813 2.717391304 10.96491228 10.54852321 24.50980392 7.083758359 32.05128205

33197.11939 21277.91824 22954.6592 23284.52884 55556.82171 26423.02231 74679.83086 12156.81934 46887.79206 45999.60615 24411.61319 25593.56194 7741.492362 40669.88447 5230.137068 466064.8071

0.08 2.33 4.08 4.68 10.08 0.08 4.08 6.15 7.93 10.08 7.15 10.08 8.15 2.41 0.08

2.65 5.68 2.05 6.05 4.00 14.78 16.64 11.25 10.93 11.25 15.75 16.70 20.78 24.55 7.20

CR 

S K!

20

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T

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L

0.8547812

2.5

2.4

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1.932

& 1.21

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1.2198 4.269825654 3.234989648 40693.88645

*

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#++ AN9#LO Elemento

S Ky

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>

1.57

7.53

8

/$ 1 /$ 2 /$ .3 L 2 /$ 4 /$ 5 /$ 6 L 3

0.14 0.14 0.14 0.8547812 0.14 0.14 0.14 0.8547812

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

3.5 3 1.9 1.65 2 1.95 0.86 1.48

0.9045 0.681 0.6705 1.716 0.795 0.6773 1.4037 1.5886

0.48 0.405 0.24 1.38 0.255 0.2475 0.8823 1.3156

1.88 1.68 2.79 1.24 3.12 2.74 1.59 1.21

1.5343 0.8070 0.3797 0.4676 0.4007 0.3792 6.2778 0.4004

3.394599057 6.453944651 13.71696954 11.13843741 12.99808668 13.73505626 0.829643081 13.00782551

13.02083333 15.43209877 26.04166667 4.528985507 24.50980392 25.25252525 7.083758359 4.750684099

19798.44285 14849.64613 8174.324651 20743.67953 8664.843444 8335.987702 5715.779511 18301.08535 145277.6756

8.29 1.50 7.04 0.90 2.25 8.05 2.41 9.04

7.93 11.50 12.43 13.48 14.33 13.78 24.55 18.63

S Ky * X

XCR 

AN9#LO Elemento

8

/$ 1 /$ 2 /$ 3 /$ 4 /$ 5 /$ 6 /$ 7 /$ 8 L 1 L 2 /$ 9 /$ 10 /$ 11 /$ 12 /$ 13

T



L>

0.14 0.14 0.14 0.14 0.14 0.14 0.14 0.14 0.85 0.85 0.14 0.14 0.14 0.14 0.14

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

5.3 3.7 4.05 4.1 8 4.4 10.425 2.5 2.5 2.5 4.1 4.25 2 6.12 1.6

At m2 Alma m2 1.1415 0.921 0.8385 0.846 1.6815 1.1415 2.142 0.8565 2.366 2.3 0.981 2.0035 0.531 1.4037 0.471

0.75 0.51 0.5625 0.568 1.155 0.615 1.5195 0.33 2.162 2.3 0.57 0.5925 0.255 0.8823 0.195

&

0 m4

%3/30

&'%Em/9;

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1.52 1.81 1.49 1.49 1.46 1.86 1.41 2.60 1.09 1.00 1.72 3.38 2.08 1.59 2.42

3.5755 1.7251 1.7092 1.763 11.8746 2.4369 21.8181 0.6682 1.289 1.1979 2.2178 2.4225 0.2981 6.2778 0.1731

1.456672726 3.019148648 3.047234574 2.954244659 0.438611266 2.137278236 0.238716173 7.794572483 4.040599948 4.347886579 2.348423362 2.1499828 17.47176563 0.829643081 30.08858078

8.333333333 12.25490196 11.11111111 11.00352113 5.411255411 10.16260163 4.11319513 18.93939394 2.890841813 2.717391304 10.96491228 10.54852321 24.50980392 7.083758359 32.05128205

33197.11939 21277.91824 22954.6592 23284.52884 55556.82171 26423.02231 74679.83086 12156.81934 46887.79206 45999.60615 24411.61319 25593.56194 7741.492362 40669.88447 5230.137068 466064.8071

S Ky

 0.08 2.33 4.08 4.68 10.08 0.08 4.08 6.15 7.93 10.08 7.15 10.08 8.15 2.41 0.08

CR 

S K!



> 2.65 5.68 2.05 6.05 4.00 14.78 16.64 11.25 10.93 11.25 15.75 16.70 20.78 24.55 7.20

*

S K!





3 5 4 1 2 3 2 1

de-(i)-ion L 1 /$ 1 /$ 2 /$ .3 L 2 /$ 4 /$ 5 L 3

Lon!. / 2.4 3.5 3 1.9 1.65 2 1.95 1.48

V dieno 86.6113 42.2098 31.6157 17.4214 44.1662 18.4514 17.7686 38.9939 297.238

29; 14; 11; 6; 15; 6; 6; 13; 100;

9 4 5 6 11 8 12 3 2 1 6 7 2 10 1

de-(i)-ion /$ 1 /$ 2 /$ 3 /$ 4 /$ 5 /$ 6 /$ 7 /$ 8 L 1 L 2 /$ 9 /$ 10 /$ 11 /$ 12 /$ 13

Lon!. / 5.30 3.70 4.05 4.10 8.00 4.40 10.43 2.50 2.50 2.50 4.10 4.25 2.00 6.19 1.60

V dieno 21.1532 13.5583 14.6267 14.8369 35.4008 16.8368 47.586 7.74633 29.8769 29.311 15.5551 16.3082 4.93288 25.9149 3.33264 296.977

7.12; 4.57; 4.93; 5.00; 11.92; 5.67; 16.02; 2.61; 10.06; 9.87; 5.24; 5.49; 1.66; 8.73; 1.12; 100.00;

20 L 1 /$ 1 /$ 2 /$ .3 L 2 /$ 4 /$ 5 L 3

%"L$ +lemento /$ 1 /$ 2 /$ 3

0.8547812 0.14 0.14 0.14 0.8547812 0.14 0.14 0.8547812

#

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

< 0.14 0.14 0.14

2.4 3.5 3 1.9 1.65 2 1.95 1.58

L' 2.5 2.5 2.5

5.3 3.7 4.05

2.2596 0.819 0.616 0.6972 0.5642 0.707 0.6174 1.6292

1.785 0.448 0.378 0.224 0.21 0.2366 0.231 1.275

1.26588235 1.828125 1.62962963 3.1125 2.68666667 2.98816568 2.67272727 1.27780392

1.2521 1.3695 0.7099 0.4067 0.2217 0.346 0.3381 0.4655

4.159678407 3.50140056 3.803091152 13.95089286 7.336714091 16.53439153 12.80632735 27.90178571 23.49270786 29.76190476 15.05298651 26.4158918 15.40471261 27.05627706 11.188686 4.901960784

t m2 lma m2   m4 >3,3 .>?+m,"@ 1.036 0.6986 1.48296593 3.1738 1.641040183 8.946464357 0.8316 0.476 1.74705882 1.5215 3.423156972 13.1302521 0.763 0.525 1.45333333 1.516 3.435576077 11.9047619

39863.84987 18305.75041 13614.78622 7983.666536 6102.757751 7837.202577 7654.084433 20198.06937 121560.1672

1.57 8.29 1.5 7.04 0.9 2.25 8.05 9.04

7.53 7.93 11.5 12.43 13.48 14.33 13.78 18.63

'   30696.56299 0.075 2.65 19633.41802 2.325 5.675 21185.97389 4.075 2.05

/$ 4 /$ 5 /$ 6 /$ 7 /$ 8 L 1 L 2 /$ 9 /$ 10 /$ 11 82 /$ 12 /$ 13

0.14 0.14 0.14 0.14 0.14 0.8547812 0.8547812 0.14 0.14 0.14 0.14 0.14

2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5 2.5

4.1 8 4.4 10.425 2.5 2.5 2.5 4.1 4.25 2 6.12 1.6

0.77 1.5316 1.0276 1.9516 0.763 2.3986 2.1165 0.8876 0.9086 0.476 1.295 0.4816

0.532 1.0766 0.5726 1.4154 0.308 2.162 2.1165 0.532 0.553 0.238 0.8402 0.126

1.44736842 1.5642 3.329710608 11.7481203 21554.82456 1.42262679 10.62 0.490426868 5.805313022 51622.20893 1.79462103 2.1508 2.421579567 10.915124 24368.84036 1.37883284 19.7988 0.263063081 4.415712873 69462.61227 2.47727273 0.5838 8.921434281 20.29220779 11124.93948 1.10943571 1.3265 3.92637266 2.890841813 47673.43044 1 1.0935 4.762993446 2.952988424 42120.36854 1.66842105 1.9607 2.656364224 11.7481203 22562.41794 1.64303797 2.1434 2.429939971 11.30198915 23667.46851 2 0.2592 20.0938786 26.2605042 7011.203264 1.54129969 5.8006 0.89789562 7.43870507 38605.3182 3.82222222 0.0985 52.87648054 49.6031746 3171.361179 434460.9486

4.675 10.075 0.075 4.075 6.15 7.925 10.075 7.15 10.075 8.15 2.41 0.075

6.05 4 14.775 16.637 11.25 10.925 11.25 15.75 16.7 20.775 24.55 7.2

? tor$or Acc(ental ?t ?t 60.56 121.12 174.70

25.23 50.46 72.79

S $ Cort' e Tra$lac(on

Cortante e -($e.o

?omento Tor$or

<'>

1

m ton

?t1

?t2

?*<>(@cr;

306425 157002 170771 101607 279625 124167 114870 140322 340949 1735738

296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98

83.1864 40.472 30.3556 16.71 42.4042 17.7127 17.0404 11.6842 37.4111 296.98

60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6

25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23

4681480.22316 2757220.31876 5278396.14364 3365981.06931 9860727.14889 4564940.47918 4114042.63895 6548774.02129 14407227.1105

11.95

<>(@cr;2 <(@>cr;2 6263993.96442 9179608.39431 59801907.2447 80253292.0179 106952164.299 131368753.85 115283387.382 621315741.098 293325887.967

282606904 35107570.34 286432251 63203193.82 320275822 246784676 39865851.21 238708594 22186327.67

(

 = tr

0.016206133 0.062257755 0.015245163 0.023463429 0.023080714 0.012071662 0.02651668 0.007614638 0.045662977

83.20 40.53 30.37 16.73 42.43 17.72 17.07 11.69 37.46 297.21

<'

1

m ton

?t1

?t2

2489.78 49471.2 93540.2 108855 559735 1981.73 304320 74764.4 371586 463446 174543 257855 63093.2 98014.4 392.26 2624088

296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98 296.98

21.15 13.56 14.63 14.84 35.40 16.84 47.59 7.75 29.88 29.31 15.56 16.31 4.93 25.91 3.33 296.98

60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6 60.6

25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23 25.23

?*<(@>cr;

<>(@cr;2 <(@>cr;2

745884.047713 15417215.6384 12011836.8969 3467.18730538 18581587.6069 22249718.0494 19975861.3888 305737.78152 26449409.7414 4613415.30617 593681.355338 145151818.988 60452643.0795 210279975.163 10937347.038 54816265.8543 37717139.452 48659298.0719 21899424.6531 54816265.8543 21129888.1056 177753798.732 12184545.2199 212694061.012 6045958.62578 398111885.14 23588158.4891 621315741.098 117512.479334 4276751.32634

369895675 242982284 162640482 138794685 9202949.032 369895675 162640482 88205115 42463846.5 9202949.032 60401718.37 9202949.032 37846497 238708594 369895675

(

 = tr

0.00193579 0.04943433 0.10050066 0.14360748 1.91435381 0.00115267 0.162106 0.07647351 0.41391394 0.34207581 0.08872307 0.05491081 0.0138682 0.02742732 0.00031406

21.15 13.56 14.63 14.84 35.40 16.84 47.59 7.75 29.88 29.31 15.56 16.31 4.93 25.91 3.33 296.98

5.63

Cort' e Tra$lac(on


?omento Tor$or

<'>

1

m ton

?t1

?t2

?*<>(@>cr;

306425 157002 170771 101607 279625 124167 114870 140322

246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51

69.0507 33.5946 25.1973 13.8704 35.1985 14.7028 14.1448 9.69871

121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1

50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46

9362960.44632 5514440.63753 10556792.2873 6731962.13862 19721454.2978 9129880.95835 8228085.2779 13097548.0426

<>(@>cr;2 <(@cr;2 6263993.96442 9179608.39431 59801907.2447 80253292.0179 106952164.299 131368753.85 115283387.382 621315741.098

282606904 35107570.34 286432251 63203193.82 320275822 246784676 39865851.21 238708594

(

 = tr

0.032412266 0.12451551 0.030490326 0.046926858 0.046161429 0.024143324 0.053033359 0.015229276

69.08 33.72 25.23 13.92 35.24 14.73 14.20 9.71

340949 1735738

246.51

31.0539 246.51

<'

1

m ton

2489.78 49471.2 93540.2 108855 559735 1981.73 304320 74764.4 371586 463446 174543 257855 63093.2 98014.4 392.26 2624088

246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51 246.51

17.56 11.25 12.14 12.32 29.39 13.98 39.50 6.43 24.80 24.33 12.91 13.54 4.09 21.51 2.77 246.51

121.1

50.46

28814454.221 293325887.967 22186327.67 0.091325954

31.15 246.98

11.95

?omento Tor$or ?t1 ?t2 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1 121.1

50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46 50.46

?*<(@>cr;

<>(@cr;2 <(@>cr;2

1168228.01696 15417215.6384 15660211.7681 3467.18730538 46722180.0046 22249718.0494 32398349.3307 305737.78152 224499070.639 4613415.30617 282748.803084 145151818.988 72015452.9628 210279975.163 2632506.49777 54816265.8543 19178194.9297 48659298.0719 16318248.4613 54816265.8543 33491536.3241 177753798.732 61839562.4949 212694061.012 28105937.307 398111885.14 62334441.5751 621315741.098 93982.9799594 4276751.32634

369895675 242982284 162640482 138794685 9202949.032 369895675 162640482 88205115 42463846.5 9202949.032 60401718.37 9202949.032 37846497 238708594 369895675

(

 = tr

0.00303189 0.0644491 0.25270231 0.23291338 16.2487804 0.000548976 0.193112101 0.01840638 0.21046459 0.2548961 0.140628849 0.278685875 0.064469313 0.072479858 0.00025118

17.56 11.25 12.14 12.32 29.39 13.98 39.69 6.43 24.80 24.33 13.05 13.82 4.16 21.58 2.77 247.26

5.63

Cort' e Tra$lac(on


?omento Tor$or

<'>

1

m ton

?t1

?t2

306425

145.58

40.7791

174.7

72.79

?*<>(@>cr;

<>(@>cr;2 <(@cr;2

(

13505215.3836 6263993.96442 282606904 0.046751734

 = tr 40.83

157002 170771 101607 279625 124167 114870 140322 340949 1735738

145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58

19.8399 14.8807 8.19144 20.7871 8.68299 8.35345 5.72775 18.3394 145.58

<'

1

m ton

2489.78 49471.2 93540.2 108855 559735 1981.73 304320 74764.4 371586 463446 174543 257855 63093.2 98014.4 392.26 2624088

145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58 145.58

10.37 6.65 7.17 7.27 17.35 8.25 23.33 3.80 14.65 14.37 7.63 7.99 2.42 12.70 1.63 145.58

174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7

72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79

7954077.02049 15227208.789 9710240.59725 28446396.7883 13169019.5079 11868261.5942 18892016.9348 41562218.7711

9179608.39431 59801907.2447 80253292.0179 106952164.299 131368753.85 115283387.382 621315741.098 293325887.967

35107570.34 286432251 63203193.82 320275822 246784676 39865851.21 238708594 22186327.67

0.179602252 0.04397951 0.067687707 0.066583646 0.034824541 0.076495777 0.02196684 0.131729349

20.02 14.92 8.26 20.85 8.72 8.43 5.75 18.47 146.25

11.95

5.63

?omento Tor$or ?t1 ?t2 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7 174.7

72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79 72.79

?*<(@>cr;

<>(@cr;2 <(@>cr;2

22467496.3674 15417215.6384 9715451.75353 3467.18730538 16538031.3654 22249718.0494 9996077.04219 305737.78152 32140884.1002 4613415.30617 5437857.6904 145151818.988 25490972.8052 210279975.163 617422.798828 54816265.8543 3490573.47158 48659298.0719 2336236.54219 54816265.8543 6756431.12956 177753798.732 8853391.71027 212694061.012 4974263.53706 398111885.14 37307775.6681 621315741.098 1807491.5429 4276751.32634

369895675 242982284 162640482 138794685 9202949.032 369895675 162640482 88205115 42463846.5 9202949.032 60401718.37 9202949.032 37846497 238708594 369895675

( 0.05830974 0.03998363 0.08944785 0.07186231 2.32629101 0.010557973 0.068354986 0.004317 0.03830611 0.03649274 0.028369828 0.039898653 0.01140995 0.043379907 0.00483064

Cortante e -($e.o  = tr 10.37 6.65 7.17 7.27 17.35 8.26 23.40 3.80 14.65 14.37 7.65 8.03 2.43 12.75 1.63 145.78

300175 145165 156570 99237 82265.2 112307 105473 376290

297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334

97.5454 44.7935 33.3149 19.5357 14.9332 19.1774 18.7293 49.4239 297.453

o(t. de #(ala-ion '. V1 Vm ton 2302.24 297.45334 21.0164 45647.7 297.45334 13.442 86332.8 297.45334 14.505

100769 520094 1827.66 283060 68418.4 377812 424363 161321 238450 57141.3 93038.8 237.852

297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334 297.45334

14.7575 35.3431 16.6841 47.5575 7.61668 32.6396 28.8377 15.4473 16.2039 4.80021 26.4311 2.17127 297.453

<=

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2.5

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3 2 1 3 2 1 3 2 1 3 2 1 3 2 1

40.83 69.08 83.20 20.02 33.72 40.53 14.92 25.23 30.37 8.26 13.92 16.73 20.85 35.24 42.43

20.41 34.54 41.60 10.01 16.86 20.27 7.46 12.61 15.19 4.13 6.96 8.37 10.43 17.62 21.21

20.41 14.13 7.06 10.01 6.85 3.41 7.46 5.15 2.57 4.13 2.83 1.41 10.43 7.20 3.59

51.03 137.39 241.39 25.02 67.17 117.84 18.66 50.19 88.15 10.32 27.72 48.64 26.07 70.12 123.16

23.90 40.44 48.70 11.08 18.65 22.40 8.18 13.82 16.64 4.82 8.13 9.77 3.67 6.20

?#RO @4

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3

8.72

4.36

4.36

10.90

7.46

2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2

14.73 17.72 8.43 14.20 17.07 5.75 9.71 11.69 18.47 31.15 37.46 10.37 17.56 21.15 6.65 11.25 13.56 7.17 12.14 14.63 7.27 12.32 14.84 17.35 29.39

7.36 8.86 4.21 7.10 8.53 2.87 4.86 5.85 9.24 15.57 18.73 5.18 8.78 10.58 3.32 5.63 6.78 3.59 6.07 7.31 3.64 6.16 7.42 8.68 14.69

3.00 1.50 4.21 2.88 1.43 2.87 1.98 0.99 9.24 6.34 3.16 5.18 3.59 1.80 3.32 2.30 1.15 3.59 2.49 1.24 3.64 2.52 1.26 8.68 6.02

29.31 51.46 10.54 28.28 49.62 7.19 19.33 33.94 23.09 62.02 108.84 12.96 34.91 61.35 8.31 22.38 39.32 8.96 24.14 42.42 9.09 24.49 43.03 21.69 58.42

4.71 7.96 9.58 4.63 7.79 9.37 12.19 20.54 24.70 5.14 8.71 10.49 3.29 5.57 6.71 3.55 6.01 7.24 3.61 6.12 7.37 8.65 14.65 17.64 4.09

1 3 2 1 3 2 1 3 2

35.40 8.26 13.98 16.84 23.40 39.69 47.59 3.80 6.43

17.70 4.13 6.99 8.42 11.70 19.85 23.79 1.90 3.22

3.01 4.13 2.86 1.43 11.70 8.15 3.95 1.90 1.32

102.67 10.33 27.80 48.85 29.24 78.86 138.34 4.75 12.78

6.92 8.33 11.68 19.74 23.76 1.86 3.16 3.80

PLACA >@1

PLACA >@2

?#RO >@7

?#RO >@16

?#RO >@11

?#RO >@12

?#RO >@13

1 3 2 1 3 2 1

7.75 14.65 24.80 29.88 14.37 24.33 29.31

3.87 7.32 12.40 14.94 7.18 12.17 14.66

0.66 7.32 5.08 2.54 7.18 4.98 2.49

22.47 18.31 49.31 86.65 17.96 48.37 85.01

7.99 13.52 16.29 7.06 11.95 14.40 3.80

3

7.65

3.83

3.83

9.57

6.41

2 1 3 2 1 3 2 1 3 2 1 3 2 1

13.05 15.56 8.03 13.82 16.31 2.43 4.16 4.93 12.75 21.58 25.91 1.63 2.77 3.33

6.53 7.78 4.02 6.91 8.15 1.21 2.08 2.47 6.37 10.79 12.96 0.82 1.38 1.67

2.70 1.25 4.02 2.89 1.25 1.21 0.86 0.39 6.37 4.42 2.17 0.82 0.57 0.28

25.88 45.33 10.04 27.31 47.70 3.04 8.24 14.40 15.93 42.91 75.31 2.04 5.50 9.67

7.72 3.99 6.73 8.10 1.18 1.99 2.40 6.50 10.97 13.20 0.53 0.90 1.08

145.78 247.26 296.98

140.50 237.26 285.52

:+S$% %V+L+S 59.74 220.59 503.19 27.71 102.03 232.36 20.44 75.44 172.03 12.06 44.43 101.23 9.17 33.82

PLACA @1

?#RO @1

?#RO @2

?#RO '3

PLACA @2

3 2 1 3 2 1 3

53.04 89.75 108.10 19.85 33.37 40.09 14.71

132.60 489.58 1116.80 49.64 182.71 416.00 36.77

26.52 44.88 54.05 9.93 16.69 20.04 7.35

66.30 244.79 558.40 24.82 91.35 208.00 18.39

2 1 3 2 1 3 2

24.86 29.93 5.46 9.19 11.05 23.43 39.60

135.70 309.45 13.65 50.27 114.52 58.58 216.15

12.43 14.96 2.73 4.60 5.52 11.72 19.80

67.85 154.72 6.82 25.14 57.26 29.29 108.08

77.12

1

47.67

492.90

23.83

246.45

11.78 43.46 99.09 11.57 42.63 97.10 30.47 112.30 255.90 12.86 47.49 108.34 8.22 30.37 69.30 8.87 32.77 74.78 9.03 33.34 76.08 21.62 79.86 182.20 10.22

3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3 2 1 3

6.13 10.36 12.47 5.81 9.78 11.76 17.85 30.08 36.17 10.35 17.52 21.11 5.82 9.86 11.88 6.80 11.51 13.87 6.94 11.75 14.15 17.92 30.34 36.55 7.79

15.33 56.56 128.95 14.53 53.53 121.91 44.62 164.45 374.71 25.87 95.53 217.95 14.55 53.75 122.64 16.99 62.77 143.20 17.35 64.06 146.17 44.79 165.43 377.44 19.46

3.07 5.18 6.23 2.91 4.89 5.88 8.92 15.04 18.08 5.17 8.76 10.55 2.91 4.93 5.94 3.40 5.76 6.93 3.47 5.87 7.08 8.96 15.17 18.27 3.89

7.67 28.28 64.47 7.27 26.76 60.95 22.31 82.23 187.35 12.93 47.76 108.98 7.28 26.88 61.32 8.50 31.38 71.60 8.67 32.03 73.08 22.40 82.71 188.72 9.73

2 1 3 2 1 3 2 1

13.18 15.88 24.51 41.50 50.00 2.71 4.59 5.53

71.89 164.02 61.27 226.29 516.31 6.78 25.04 57.13

6.59 7.94 12.25 20.75 25.00 1.36 2.30 2.77

35.94 82.01 30.64 113.15 258.15 3.39 12.52 28.57

37.75 86.09 29.21 107.76 245.71 4.66 17.21 39.27

?#RO @4

?#RO @+

PLACA @3

?#RO >@1

?#RO >@2

?#RO >@3

?#RO >@4

?#RO >@+

?#RO >@8

?#RO >@D

?#RO >@5

19.97 73.75 168.26 17.64 65.16 148.66 9.50 35.04 79.87 9.98 36.79 83.85 2.95 10.89 24.83 16.24 59.90 136.58 1.33 4.91 11.19

PLACA >@1

PLACA >@2

?#RO >@7

?#RO >@16

?#RO >@11

?#RO >@12

?#RO >@13

3 2 1 3 2 1 3

16.56 28.04 33.78 16.56 28.04 33.78 6.94

41.40 152.89 348.82 41.40 152.89 348.82 17.35

8.28 14.02 16.89 8.28 14.02 16.89 3.47

20.70 76.44 174.41 20.70 76.44 174.41 8.67

2

11.75

64.06

5.87

32.03

1 3 2 1 3 2 1 3 2 1 3 2 1

14.15 7.36 12.46 15.02 1.64 2.78 3.35 12.74 21.58 26.00 0.95 1.61 1.94

146.17 18.40 67.97 155.08 4.10 15.16 34.59 31.86 117.67 268.47 2.38 8.79 20.05

7.08 3.68 6.23 7.51 0.82 1.39 1.67 6.37 10.79 13.00 0.48 0.81 0.97

73.08 9.20 33.98 77.54 2.05 7.58 17.29 15.93 58.83 134.23 1.19 4.39 10.03

ALBA0LER0A CON"0NA-A

-ATOS

10.01

& Fm G Fm &Hc = & =

650 97 0.175 4.2

tn/m2 tn/m2 tn/cm2 tn/cm2

0.15 2.5

6.85

0.15 2.5



N col!m L= Lm t=

2.00 1.48 1.48 0.15

3.41

0.15

m m m

2.5

N0EL 3 2 1

"( 16'61 8'5+ 3'41

? 2+'62 8D'1D 11D'54

?ETRA-O -E CAR9A -EL ?#RO

N0EL 3 2 1

Pcm

?!ro en  PcG Pm Tn;

PI tn;

5.17 10.33 15.50

0.79 2.77 4.75

5.36 tn 11.02 tn 16.68 tn

5.96 13.10 20.24

1'@ ES"#ER,O ?A0?O   h 2  m   0.2* f ' m* 1     0.15* f ' m Lt   35*t   #m

N0EL 3 2 1

Jm

K

JAm'

K

Jma'

26.83 59.00 91.18

A A A

100.52 100.52 100.52

A A A

97.5 97.5 97.5

6'6+*&Fm recalc!lar recalc!lar recalc!lar

32.5 32.5 32.5

2'@ CONTROL -E A9R0ETA?0ENTO

$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1

Entonce$ : N0EL 3

1,3 0.33

A A

0.55

A A

1 1.00

0.55

0.546213

No nece$ Nece$(t Nece$(t

2 1

0.33 0.33

A A

0.34 0.24

A A

N0EL 3 2 1

e

K

m

6M++*m

9.24 15.57 18.73

A A A

7.11 6.23 7.43

3.91 3.43 4.08

> de lad(illo =

8

N0EL 3 2 1

0.34

0.33

m 7.11 13.34 20.77

B B B

20.02 33.72 40.53

101.79 87.25 75.91

-m

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A

%$0.34 0.33

306.16 309.10 285.89

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

1.00 1.00

A cm2 1 2 2

f 3,4 f 3,4 f 3,4

0.32 0.64 0.64

-m -m -m

allano la Re$($tenc(a al corte

$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

9.24 15.57 18.73

A A A

12.35 16.70 17.89

6.79 9.18 9.84

fs 

fy 2

tn,-m2

re&!ero %or(ontal re&!ero %or(ontal re&!ero %or(ontal

N0EL 3 2 1

Hm

12.35

16.70

17.89

3'@ "ACTOR -E A?PL0"0CAC0ON $ ui  $ e

$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.40

A

N0EL

!(

?!(

3 2 1

18.47 31.15 37.46

50.05 134.35 235.68

1

$e 1

3

2.00

2.00



3

4'@ -0SEO -E CON"0NA?0ENTO

"#ER,A CORTANTE

$c

N0EL

c

3 2 1

3.56 3.11 3.71

TRACC0ON

"

1 ,5 *

ton ton ton

$m * Lm L *  Nc  1 

#c



 #cd

-o(tante de a!(ietami Lon!itud del )an o ma %ume(o de -olumna

)



1 2

#m * *



Vm = Lm = %- =

9.83 21.74 19.84

)



#c

#t





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

0.85 1.12 1.12

Pc

?

"

T

3.83 7.67 11.24

41.16 126.56 226.40

27.81 85.51 152.97

23.98 77.85 141.74



M L

tn tn tn

COL#?NA C @ 2 N0EL

P

Pt

Pc

?

"

T

3 2 1

0.30 0.38 0.38

2.66 2.66 2.66

5.94 9.58 13.15

41.16 126.56 226.40

27.81 85.51 152.97

21.87 75.93 139.82

CO?PRES0ON

C



#c



COL#?NA C @ 1 N0EL C 3 2 1

tn tn tn

) COL#?NA C @ 2 N0EL C

31.64 93.18 164.21

tn tn tn

3 2 1

33.74 95.10 166.13

tn tn tn

-eterm(nac(on el re&!ero Gert(cal A sf



$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

 = t =

eue(o (eCue(ido ) eue(o (eCue(ido )

0.8 1

a(a Gunta in t(atamiento a(a Gunta en Cue e >a'a eliminado la le->ada

COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

6.72 21.81 39.70

Nº ar(lla$ 4

COL#?NA C @ 2 N0EL A$t 3 2 1

A$

6.13 21.27 39.17

1.04

40.74

4

A$&

A$

Nº ar(lla$ 4

1.04

40.21

4

3,8 1,2 1,2

3,8 5,8 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1! 1!2,

4 6

4 6

Area Neta el ($e.o a compre$(on 0.7 0.8 1

o

0.75

C A

n



As

f



Se!uH n e utili-e et(ibo -e((ado o un->o a(a -olumna in mu(o t(anve(ale a(a -olumna -oninada )o( mu(o t(anve(ale n = (ea del nu-leo

A s * f y

0 , 85 * d * f c

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

149.51 370.76 574.08

  rec

L=

t=

A col

13 27 40

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

COL#?NA C @ 2 N0EL An

  rec

3 2 1

157.20 334.00 500.44

14 25 35

-0SEO POR CORTE POR "R0CC0ON

Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

119.57 104.69 124.80

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

COL#?NA C @ 2

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

119.57 104.69 124.80

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

ESTR0BOS AG ando& tn =

1,4 e)eo( del nu-leo

S 1

A( * )y 0 . 3 * tn * f c * ( Ac / An



S1 = S 3



6.56 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

6.25

8.00

10.00

-m

-m

4+ con)(nam ?a cm (ento

N0EL 3 2 1

37.50 37.50 37.50

f 1,4 & 9 I 0D05J 4 I 0D10J ( I 0D20 f 1,4 & 9 I 0D05J 4 I 0D10J ( I 0D20 f 1,4 & 9 I 0D05J 4 I 0D10J ( I 0D20

45.00 45.00 45.00

-0SEO -E 09AS SOLERAS " s



 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

3.56 3.11 3.71

0.94 0.82 0.98

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y

f 1,4 & 1 I 0D05J 4 I 0D10J ( I f 1,4 & 1 I 0D05J 4 I 0D10J ( I f 1,4 & 1 I 0D05J 4 I 0D10J ( I

ar(lla$ 1 er N(Gel 2 er N(Gel 3 er N(Gel 3º 4

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

(ta re&!ero %or(ontal re&!ero %or(ontal re&!ero %or(ontal



e(

3*e(

B B B

66.10 111.50 134.12

198.30 334.51 402.37

B B B

116.77 198.13 237.79

nto dia!onal o( o 0.5L o lo C ea ma'o(D en mu(o de un )an o Lm = L

 Mui

1 2

*$m* h

u)e(io(e& e *

$m $e

( -o(te (i--ion ( t(a--ion

F= - =

Fue(a a xial en la -olumna ext(ema Sumato(ia de a(!a !(vita-ionale

A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4

CORRE90R CORRE90R CORRE90R

A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4


L=

t=

A col

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 336 336 336

An 336 336 336

D25 D25 D25

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<

ALBA0LER0A ALBA0LER0A CON"0NACON"0NA-A A

-ATOS

10.01

& Fm G Fm &Hc = & =

650 81 0.175 4.2


0.15 2.5

6.85

0.15 2.5



N col!m L= Lm t=

2.00 1.65 1.65 0.15

3.41

0.15

m m m

2.5

N0EL 3 2 1

"( 16'61 8'5+ 3'41

? 2+'62 8D'1D 11D'54


N0EL 3 2 1

Pcm


PI tn;

5.17 10.33 15.50

0.79 2.77 4.75

5.36 tn 11.02 tn 16.68 tn

5.96 13.10 20.24

1'@ ES"#ER,O ?A0?O   h 2  m   0.2* f ' m* 1     0.15* f ' m Lt   35*t   #m #m

N0EL 3 2 1

Jm

K

JAm'

K

Jma'

24.07 52.92 81.78

A A A

100.52 100.52 100.52

A A A

97.5 97.5 97.5

6'6+*& Fm recalc!lar recalc!lar recalc!lar

32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1, 1,3 0.33

A A

0.69

A A

1 1.00

0.69

0.687502

No nece$ Nec ece$ e$(t (t Nec ece$ e$(t (t

2 1

0.33 0.33

A A

0.43 0.30

A A

N0EL 3 2 1

e

K

m

6M++*m

10.43 17.62 21.21

A A A

8.12 6.87 7.18

4.47 3.78 3.95

> de lad(illo =

8

N0EL 3 2 1

0.43

0.33

m 8.12 15.00 22.18

B B B

20.02 33.72 40.53

56.37 42.69 35.65

-m

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A

%$0.43 0.33

306.16 309.10 285.89

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

1.00 1.00

A cm2 1 2 2

f 3,4 f 3,4 f 3,4

0.32 0.64 0.64

-m -m -m


$ m  $m  $d  S Ash * fs  =

2.1

N0EL 3 2 1

e

K

Hm

10.43 17.62 21.21

A A A

13.96 18.55 18.85

donde &

fs 

fy 2

tn,-m2

6M++*Hm 7.68 re&!ero %or(ontal 10.20 re&!ero %or(ontal 10.37 re&!ero %or(ontal

N0EL 3 2 1

Hm

13.96

18.55

18.85


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.34

A

N0EL

!(

?!(

3 2 1

20.85 35.24 42.43

50.05 134.35 235.68

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

4.06 3.44 3.59

TRACC0ON

"

1 ,5 *

ton ton ton

$m * Lm L *  Nc  1 

#c



 #cd #cd

-o( -o(tante de a!(iet ietami Lon! Lon!it itu ud del )an )an o ma %ume(o de -olumna

)



1 2

#m * *



Vm = Lm = %- =

9.83 21.74 19.84

)



#c #c

#t





M

M

L

 #t #t

#m #m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

0.85 1.12 1.12

Pc

?

"

T

3.83 7.67 11.24

39.89 125.75 226.71

24.18 76.21 137.40

20.35 68.55 126.16



M L

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.30 0.38 0.38

2.66 2.66 2.66

5.94 9.58 13.15

39.89 125.75 226.71

24.18 76.21 137.40

18.24 66.63 124.25

CO?PRES0ON

C



#c



COL#?NA C @ 1 N0EL C 3 2 1

tn tn tn


28.01 83.88 148.64

tn tn tn

3 2 1

30.11 85.80 150.55

tn tn tn




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

 = t t =

eue(o (eCue(ido ) eu eue( e(o o (eCu (eCue( e(id ido o)

0.8 1

a(a a(a Gu Gunta nta in t(at t(atam amie ient nto o a( a(a Gun Gunta ta en en Cue Cue e >a' >a'a eli elimi mina nado do la le-> le->ad ada a

COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

5.70 19.20 35.34

Nº ar(lla$ 4

COL#?NA C @ 2 N0EL A$t 3 2 1

A$

5.11 18.66 34.80

1.01

36.35

4

A$&

A$

Nº ar(lla$ 4

1.01

35.81

4

3,8 1,2 1,2

3,8 5,8 1,2

Nº ar(lla$ ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$ ar(lla$

A$ 0!,1 1! 1!2,

4 6

4 6

Area Neta el ($e.o a compre$(on compre$(on 0.7 0.8 1

o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c

(e-= (e-= 2 16

20

(e-= (e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

140.81 348.46 537.92

  rec

L=

t=

A col

13 26 38

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00


  rec

3 2 1

150.03 315.63 470.63

13 24 33


Acf 

$c

 *f 0.2 * f c

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

136.55 115.53 120.64

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

COL#?NA C @ 2

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

136.55 115.53 120.64

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00



S 1

A( * )y 0 . 3 * tn * f c * ( Ac / An



S1 = S 3



6.56 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y  0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

6.25

8.00

10.00

-m

-m


N0EL 3 2 1

37.50 37.50 37.50

f 1,4 & 9 I 0D05J 0D05J 4 I 0D10J ( I 0D20 f 1,4 & 9 I 0D05J 0D05J 4 I 0D10J ( I 0D20 f 1,4 & 9 I 0D05J 0D05J 4 I 0D10J ( I 0D20

45.00 45.00 45.00




 v ole(a=

3, 3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

4.06 3.44 3.59

1.07 0.91 0.95

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



 * Acs Acs 0,1* f c

f y


ar(lla$ 1 er N(Gel N(Gel 2 er N(Gel N(Gel 3 er N(Gel N(Gel 3º 4

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<




e(

3*e(

B B B

66.10 111.50 134.12

198.30 334.51 402.37

B B B

116.77 198.13 237.79


 Mui

1 2

*$m* h

u)e(io(e& e *

$m $e


F= - =


A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4


A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4


L=

t=

A col

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 336 336 336

An 336 336 336

D25 D25 D25

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<


-ATOS

10.01

& Fm G Fm &Hc = & =

650 81 0.175 4.2


0.15 2.5

6.85

0.15 2.5



N col!m L= Lm t=

2.00 2.40 2.40 0.15

3.41

0.15

m m m

2.5

N0EL 3 2 1

"( 16'61 8'5+ 3'41

? 2+'62 8D'1D 11D'54


N0EL 3 2 1

Pcm


PI tn;

5.17 10.33 15.50

0.79 2.77 4.75

5.36 tn 11.02 tn 16.68 tn

5.96 13.10 20.24


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

16.54 36.39 56.23

A A A

100.52 100.52 100.52

A A A

97.5 97.5 97.5


32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.96

A A

1 1.00

1.96

1

No nece$ Nece$(t Nece$(t

2 1

0.33 0.33

A A

1.23 0.85

A A

N0EL 3 2 1

e

K

m

6M++*m

20.41 34.54 41.60

A A A

15.81 17.12 16.19

8.70 9.41 8.90

> de lad(illo =

8

N0EL 3 2 1

1.23

0.85

m 15.81 32.93 49.12

B B B

20.02 33.72 40.53

64.06 52.93 44.67

-m

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A

%$1.00 0.85

306.16 309.10 285.89

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

1.00 1.00

A cm2 1 2 2

f 3,4 f 3,4 f 3,4

0.32 0.64 0.64

-m -m -m


$ m  $m  $d  S Ash * fs  =

2.1

N0EL 3 2 1

e

K

Hm

20.41 34.54 41.60

A A A

24.30 34.09 33.17

donde &

fs 

fy 2

tn,-m2

6M++*Hm 13.37 re&!ero %or(ontal 18.75 re&!ero %or(ontal 18.24 re&!ero %or(ontal

N0EL 3 2 1

Hm

24.30

34.09

33.17


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.39

A

N0EL

!(

?!(

3 2 1

40.83 69.08 83.20

50.05 134.35 235.68

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

7.91 8.56 8.10

TRACC0ON

"

1 ,5 *

ton ton ton

$m * Lm L *  Nc  1 

#c



 #cd


)



1 2

#m * *



Vm = Lm = %- =

9.83 21.74 19.84

)



#c

#t





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

0.85 1.12 1.12

Pc

?

"

T

3.83 7.67 11.24

30.28 112.95 215.44

12.62 47.06 89.77

8.79 39.40 78.53



M L

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.30 0.38 0.38

2.66 2.66 2.66

5.94 9.58 13.15

30.28 112.95 215.44

12.62 47.06 89.77

6.68 37.48 76.62

CO?PRES0ON

C



#c



COL#?NA C @ 1 N0EL C 3 2 1

tn tn tn


16.45 54.73 101.01

tn tn tn

3 2 1

18.55 56.65 102.92

tn tn tn




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

 = t =


0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

2.46 11.04 22.00

Nº ar(lla$ 4

COL#?NA C @ 2 N0EL A$t 3 2 1

A$

1.87 10.50 21.46

2.27

24.27

4

A$&

A$

Nº ar(lla$ 4

2.27

23.73

4

3,8 1,2 1,2

3,8 5,8 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1! 1!2,

4 6

4 6


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

113.08 278.54 380.39

  rec

L=

t=

A col

11 21 28

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00


  rec

3 2 1

127.20 258.06 342.19

12 20 25


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

265.77 287.65 272.10

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

COL#?NA C @ 2

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

265.77 287.65 272.10

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00



S 1

A( * )y 0 . 3 * tn * f c * ( Ac / An



S1 = S 3



6.56 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

6.25

8.00

10.00

-m

-m


N0EL 3 2 1

37.50 37.50 37.50


45.00 45.00 45.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

7.91 8.56 8.10

2.09 2.26 2.14

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<




e(

3*e(

B B B

66.10 111.50 134.12

198.30 334.51 402.37

B B B

116.77 198.13 237.79


 Mui

1 2

*$m* h

u)e(io(e& e *

$m $e


F= - =


A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4

O< CORRE90R CORRE90R

A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4

O< CORRE90R CORRE90R

L=

t=

A col

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 336 336 336

An 336 336 336

D25 D25 D25

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<


-ATOS

10.01

& Fm G Fm &Hc = & =

650 81 0.175 4.2


0.15 2.5

6.85

0.15 2.5



N col!m L= Lm t=

2.00 3.50 3.50 0.15

3.41

0.15

m m m

2.5

N0EL 3 2 1

"( 16'61 8'5+ 3'41

? 2+'62 8D'1D 11D'54


N0EL 3 2 1

Pcm


PI tn;

5.17 10.33 15.50

0.79 2.77 4.75

5.36 tn 11.02 tn 16.68 tn

5.96 13.10 20.24


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

11.34 24.95 38.55

A A A

100.52 100.52 100.52

A A A

97.5 97.5 97.5


32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.40

A A

1 1.00

1.40

1

No nece$ No nece$ Nece$(t

2 1

0.33 0.33

A A

0.88 0.60

A A

N0EL 3 2 1

e

K

m

6M++*m

10.01 16.86 20.27

A A A

22.50 21.21 16.64

12.37 11.67 9.15

> de lad(illo =

8

1.00 1.00

0.88

0.60

0.88 0.60

m 22.50 43.71 60.35

B B B

20.02 33.72 40.53

70.74 57.03 45.11

306.16 309.10 285.89

-m

8 1.5 8 1.5

S=

19

-m

m

8 1.5 8

N0EL 3 2 1

N0EL 3 2 1

70.74 154.30 142.38



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A cm2 0!,1 0!,1 0!,1

-m -m -m

A$% 1 1 1

3,8 3,8 3,8


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

10.01 16.86 20.27

A A A

50.06 48.78 44.20

27.53 26.83 24.31

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

22.50

48.78

44.20


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.82

A

N0EL

!(

?!(

3 2 1

20.02 33.72 40.53

50.05 134.35 235.68

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

11.25 10.61 8.32

TRACC0ON

"

1 ,5 *

ton ton ton

$m * Lm L *  Nc  1 

#c



 #cd


)



1 2

#m * *



Vm = Lm = %- =

9.83 21.74 19.84

)



#c

#t





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

0.85 1.12 1.12

Pc

?

"

T

3.83 7.67 11.24

21.93 107.83 214.89

6.27 30.81 61.40

2.43 23.14 50.16



M L

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.30 0.38 0.38

2.66 2.66 2.66

5.94 9.58 13.15

21.93 107.83 214.89

6.27 30.81 61.40

0.33 21.23 48.24

CO?PRES0ON

C



#c



COL#?NA C @ 1 N0EL C 3 2 1

tn tn tn


10.10 38.47 72.63

tn tn tn

3 2 1

12.20 40.39 74.55

tn tn tn




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

 = t =


0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

0.68 6.48 14.05

Nº ar(lla$ 4

COL#?NA C @ 2 N0EL A$t 3 2 1

A$

0.09 5.95 13.51

2.33

16.38

4

A$&

A$

Nº ar(lla$ 4

2.33

15.84

4

3,8 1,2 1,2

3,8 5,8 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1! 1!2,

4 6

4 6


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

97.84 239.55 310.19

  rec

L=

t=

A col

10 19 23

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00


  rec

3 2 1

114.66 225.96 284.46

11 18 22


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

378.08 356.52 279.59

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

COL#?NA C @ 2

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

378.08 356.52 279.59

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00



S 1

A( * )y 0 . 3 * tn * f c * ( Ac / An



S1 = S 3



6.56 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

6.25

8.00

10.00

-m

-m


N0EL 3 2 1

37.50 37.50 37.50


45.00 45.00 45.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

11.25 10.61 8.32

2.98 2.81 2.20

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

CORRE90R

(ta re&!ero %or(ontal (ta re&!ero %or(ontal re&!ero %or(ontal

 

e(

B B B

60.35 101.79 122.43

$ /al /al

> B B B

116.77 198.13 237.79

$ $ $

    

e( 60.35 101.79 122.43

$ $ $


 Mui

1 2

*$m* h

u)e(io(e& e *

$m $e


F= - =


A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4

O< O< O<

A$ 0!,1 1! 1!

A$ total 2!% ,!2 1)!4

O< O< O<

L=

t=

A col

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 336 336 336

An 336 336 336

D25 D25 D25

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<


-ATOS



7.46

& Fm G Fm &Hc = & = Pe Cº = Pe Alb = N col!m L= Lm t=

650 81 0.175 4.2 0.36 1.8 2.00 3.00 3.00 0.15

tn/m2 tn/m2 tn/cm2 tn/cm2 tn/m2 tn/m3

0.15 2.5

5.15

0.15 2.5

2.57

0.15

m m m

2.5

N0EL 3 2 1

"( D'48 +'1+ 2'+D

? 15'88 +6'17 55'1+


N0EL 3 2 1

Pcm


PI tn;

4.11 8.23 12.34

0.62 2.16 3.71

4.27 tn 8.77 tn 13.27 tn

4.73 10.39 16.05


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

10.52 23.09 35.67

A A A

100.52 100.52 100.52

A A A

97.5 97.5 97.5


32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.20

A A

1 1.00

1.20

1

No nece$ No nece$ Nece$(t

2 1

0.33 0.33

A A

0.75 0.52

A A

N0EL 3 2 1

e

K

m

6M++*m

7.46 12.61 15.19

A A A

19.21 15.76 12.47

10.56 8.67 6.86

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

0.75

0.52

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A cm2 0!,1 0!,1 0!,1

-m -m -m

A$% 1 1 1

3,8 3,8 3,8

0.75 0.52

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

7.46 12.61 15.19

A A A

42.83 39.38 36.10

23.56 21.66 19.85

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

19.21

39.38

36.10


$m

M ui  M e

1

$m 1

$ e 1

2

:onde &

$ e 1

A

0.82

A

N0EL

!(

?!(

3 2 1

14.92 25.23 30.37

37.31 100.38 176.31

3

2.00

2



$m 1 $e 1

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

9.60 7.88 6.24

TRACC0ON

"

1 ,5 *



)

L *  Nc



1

#c



 #cd

#t

* L

ton ton ton



#c

$m

)



1 2

#m * *





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

1.34 1.64 1.64

Pc

?

"

T

3.70 6.84 9.67

13.30 80.68 160.72

4.43 26.89 53.57

0.73 20.06 43.90

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.57 0.72 0.72

2.64 2.64 2.64

5.58 8.56 11.39

13.30 80.68 160.72

4.43 26.89 53.57

1.15 18.34 42.19

CO?PRES0ON

"



#c



COL#?NA C @ 1 N0EL C 3 2 1


8.14 33.73 63.24

tn tn tn

3 2 1

10.02 35.45 64.96




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

0.20 5.62 12.30

1.75

14.04

A$&

A$

COL#?NA C @ 2 N0EL A$t 3 2 1

0.32 5.14 11.82

A$

1.75

Nº ar(lla$ -m2 -m2 -m2

4 2

3,8 1,2 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1!2, 1!


13.56

4 2

3,8 1,2 5,8

4 6

4 6


o

0.75

C A

n



As

f



Se!uH n e utili-e et(ibo -e((ado o un->o a(a -olumna in mu(o t(anve(ale a(a -olumna -oninada )o( mu(o t(anve(ale

A s * f y

0 , 85 * d * f c 

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

90.69 212.32 277.57

  rec

L=

t=

A col

10 17 21

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00


  rec

3 2 1

104.95 200.56 254.45

11 17 20


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

322.81 264.84 209.59

B B B

500.00 500.00 500.00

B B B

300 300 300

25 25 25

25.00 25.00 25.00

20.00 20.00 20.00

500.00 500.00 500.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

322.81 264.84 209.59

B B B

400.00 400.00 400.00

B B B

300 300 300

20 20 20

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

ESTR0BOS AG ando&

S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



8'+8 d 4



S3 =

0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

6.25

8.00

10.00

-m

-m


N0EL 3 2 1

37.50 37.50 37.50

45.00 45.00 45.00





 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

9.60 19.69 18.05

2.54 5.21 4.77

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

0.71 1.27 1.98 2.85 5.07

4

0,1* f c* Acs f y



4



0.00 5.08 0.00 0.00 0.00 5.08

0.00 5.08 0.00 0.00 0.00 5.08

2.84 0.00 0.00 0.00 0.00 2.84

O<

CORRE90R

O<

(ta re&!ero %or(ontal (ta re&!ero %or(ontal re&!ero %or(ontal

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

A$ 0!,1 1! 1!

A$ total 2!% ,!2 14!41

O< O< O<

A$ 0!,1 1! 1!

A$ total 2!% ,!2 1%!3

O< O< O<

L=

t=

A col

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

6M1*&c*Ac$/&  2'65 2'65 2'65

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 336 336 336

An 256 256 256

D25 D25 D25

6M1*&c*Ac$/&  1'8D 1'8D 1'8D

O< O< O<


-ATOS



4.13


650 81 0.175 4.2 0.36 1.8 2.00 1.90 1.90 0.15


0.15 2.4

2.83

0.15 2.4

1.41

0.15

m m m

2.4

N0EL 3 2 1

"( 4'13 2'53 1'41

? 16'32 2D'D2 45'84


N0EL 3 2 1

Pcm


PI tn;

1.73 3.46 5.19

0.15 0.52 0.89

1.77 tn 3.59 tn 5.41 tn

1.88 3.98 6.08


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

6.59 13.96 21.32

A A A

102.83 102.83 102.83

A A A

97.5 97.5 97.5


32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

0.76

A A

1 1.00

0.76

0.76

No nece$ No nece$ No nece$

2 1

0.33 0.33

A A

0.48 0.33

A A

N0EL 3 2 1

e

K

m

6M++*m

4.13 6.96 8.37

A A A

9.18 6.33 5.09

5.05 3.48 2.80

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

0.48

0.33

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A cm2 0!,1 0!,1 0!,1

-m -m -m

A$% 1 2 2

3,8 3,8 3,8

0.48 0.33

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

4.13 6.96 8.37

A A A

24.14 21.29 20.06

13.28 11.71 11.03

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

9.18

21.29

20.06


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.61

A

N0EL

!(

?!(

3 2 1

8.26 13.92 16.73

20.65 55.44 97.27

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

4.59 3.17 2.55

TRACC0ON

"

1 ,5 *



)

L *  Nc



1

#c



 #cd

#t

* L

ton ton ton



#c

$m

)



1 2

#m * *





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

1.34 1.64 1.64

Pc

?

"

T

2.28 3.63 4.68

9.63 47.84 91.16

5.07 25.18 47.98

2.79 21.55 43.30

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.57 0.72 0.72

2.64 2.64 2.64

4.15 5.35 6.40

9.63 47.84 91.16

5.07 25.18 47.98

0.92 19.83 41.58

CO?PRES0ON

"



#c



COL#?NA C @ 1 N0EL C 3 2 1


7.35 28.81 52.66

tn tn tn

3 2 1

9.22 30.53 54.38




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

0.78 6.04 12.13

0.71

12.84

A$&

A$

COL#?NA C @ 2 N0EL A$t 3 2 1

0.26 5.56 11.65

A$

0.71


4 4

3,8 1,2 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1!2, 1!2,


12.36

4 4

3,8 1,2 1,2

4 4

4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

61.36 138.89 191.81

  rec

L=

t=

A col

8 13 16

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00


  rec

3 2 1

81.60 141.91 185.60

9 13 16


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

154.26 106.40 85.58

B B B

400.00 400.00 400.00

B B B

300 300 300

20 20 20

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

154.26 106.40 85.58

B B B

400.00 400.00 400.00

B B B

300 300 300

20 20 20

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



+'87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

+'66

8.00

10.00

-m

-m


N0EL 3 2 1

28.00 28.00 28.00

45.00 45.00 45.00





 v ole(a=

3,8 12 mm 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

4.59 3.17 2.55

1.21 0.84 0.67

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.13 1.27 1.98 2.85 5.07



0,1* f c* Acs f y



2.84 0.00 0.00 0.00 0.00 0.00

2.84 0.00 0.00 0.00 0.00 0.00

2.84 0.00 0.00 0.00 0.00 0.00

2.84

2.84

2.84

O<

O<

O<

(ta re&!ero %or(ontal (ta re&!ero %or(ontal (ta re&!ero %or(ontal

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

A$ 0!,1 1! 1!

A$ total 2!% ,!2 12!

O< O< O<

A$ 0!,1 1! 1!

A$ total 2!% ,!2 12!

O< O< O<

L=

t=

A col

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

6M1*&c*Ac$/&  1'8D 1'8D 1'8D

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 256 256 256

An 256 256 256

D25 D25 D25

6M1*&c*Ac$/&  1'8D 1'8D 1'8D

O< O< O<


-ATOS



4.36


650 81 0.175 4.2 0.36 1.8 3.00 2.00 1.1 0.15


0.15 2.4

3.00

0.15 2.4

1.50

0.15

m m m

2.4


N0EL 3 2 1

Pcm


PI tn;

2.05 4.10 6.16

0.22 0.77 1.32

2.11 tn 4.30 tn 6.49 tn

2.27 4.87 7.48

N0EL 3 2 1

"( 4'38 3'66 1'+6

? 16'76 27'31 +1'48

1'@ ES"#ER,O ?A0?O   h 2  m  0.2* f ' m* 1      0.15* f ' m Lt   35*t   #m

N0EL 3 2 1

Jm

K

JAm'

K

Jma'

7.57 16.25 24.92

A A A

102.83 102.83 102.83

A A A

97.5 97.5 97.5


32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me

Entonce$ : N0EL 3 2 1

1,3 0.33 0.33 0.33

A A A A

0.80 0.50 0.34

A A A A

1 1.00 1.00 1.00

0.80

0.50

0.34

0.80 0.50 0.34


N0EL 3 2 1

e

K

m

6M++*m

4.36 7.36 8.86

A A A

10.20 7.09 5.68

5.61 3.90 3.12

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A cm2 0!,1 0!,1 0!,1

-m -m -m

A$% 1 2 2

3,8 3,8 3,8


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

4.36 7.36 8.86

A A A

25.96 22.85 21.43

14.28 12.56 11.79

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

10.20

22.85

21.43


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.64

A

N0EL

!(

?!(

3 2 1

8.72 6.01 3.00

21.79 58.61 102.92

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1



olumna nte(io(

N0EL

c

3 2 1

2.10 1.46 1.17

TRACC0ON

"

N0EL

c

3 2 1

1.40 0.98 0.78

ton ton ton

)





#c

B=

#m * *



0.9 0

1

 1

:onde E =

4

M

m m

L

a(a )io * Lt

o

6 * t

Mui

) 

enton-e &

B=

0.9

Pt

Pc

?

"

T

4.36 4.36 4.36

6.76 8.35 9.65

9.55 50.10 96.11

4.77 25.05 48.06

1.99 16.70 38.40

Pt

Pc

T

1.43 2.80 4.10

10.82 24.62 21.61

Pc

?

"

T

1.62 3.03 4.33

9.55 50.10 96.11

4.77 25.05 48.06

3.16 22.02 43.72

1.26 1.55 1.55

M

 #t

#m

2



L

COL#?NA C @ 1 N0EL P 3 2 1

)

 #cd

#c

#t

ton ton ton



M

tn tn tn

COL#?NA 0NTER0OR N0EL

P

3 2 1

0.29 0.36 0.36

tn tn tn


P

3 2 1

0.48 0.59 0.59

CO?PRES0ON

"

Pt



#c

COL#?NA C @ 1 N0EL C 3 2 1

11.54 33.40 57.71



) COL#?NA 0NTER0OR N0EL C

tn tn tn

3 2 1

4.69 10.91 8.76

-eterm(nac(on el re&!ero Gert(cal $c

tn tn tn

"

COL#?NA C @ 2 N0EL C tn tn tn

3 2 1

6.39 28.08 52.39

L

sf

st

f y *  *f

A s 0.85 0.8 1

A sf





A st



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

0.56 4.68 10.76

0.33

11.09

A$&

A$

COL#?NA 0NTER0OR N0EL A$t 3 2 1

A$

3.03 6.90 6.05

0.22

6.27

COL#?NA C @ 2 N0EL A$t

A$&

A$

3 2 1

0.88 6.17 12.25

0.33

12.58


4

3,8 1,2 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1! 1!2,


4 6 6

3,8 1,2 1,2


4 4

3,8 5,8 1,2

0 4 6

4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

125.97 193.37 252.29

COL#?NA 0NTER0OR N0EL An

  rec

L=

t=

A col

11.87 16.09 19.77

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

  rec

L=

t=

A col

COL#?NA C @ 2 N0EL An 3 2 1

46.44 125.59 197.64

  rec 6.90 11.85 16.35

3 2 1

160.24 367.43 320.27

6.02 18.96 16.02

15.00 15.00 15.00

20.00 20.00 20.00

300.00 300.00 300.00


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

70.75 49.18 39.35

B B B

400.00 400.00 400.00

B B B

300 300 300

20.00 20.00 20.00

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

COL#?NA 0NTER?E-0A

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

47.16 32.79 26.24

B B B

300.00 300.00 300.00

B B B

300 300 300

15.00 15.00 15.00

15.00 15.00 15.00

20.00 20.00 20.00

300.00 300.00 300.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

70.75 49.18 39.35

B B B

400.00 400.00 400.00

B B B

300 300 300

20.00 20.00 20.00

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

ESTR0BOS COL#?NA C @ 1 AG ando&

S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



S3 =

N0EL 3

5.69 d 4



-m



1)

-m

S 2



S2 = S 4

5cm

5.00

0.64

 A( * f y

0,12* tn * f c

8.00

-m

 10cm

S4 =

10.00

-m

-m

4+ con)(nam ?a cm (ento 30.00

45.00

f 1,4 & 9 I 0D05J 4 I 0D10J ( I 0D20

2 1

30.00 30.00

45.00 45.00

f 1,4 & 9 I 0D05J 4 I 0D10J ( I 0D20 f 1,4 & 9 I 0D05J 4 I 0D10J ( I 0D20

ESTR0BOS COL#?NA 0NTER?E-0A AG ando&

S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



4.54 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

5.00

8.00

10.00

-m

-m

L 4+ con)(nam ?a cm (ento

N0EL 3 2 1

22.50 22.50 22.50

45.00 45.00 45.00





 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L

0.9 b 13

> 15

195

N0EL

T$

A$

3 2 1

2.81 1.95 1.56

0.74 0.52 0.41

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.8125 0.8125 0.8125

f 1,4 & 1 I 0D05J 4 I f 1,4 & 1 I 0D05J 4 I f 1,4 & 1 I 0D05J 4 I


2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<


 Mui

1 2

u)e(io(e& e *

tn tn tn

$m $e

*$m* h

A$ 0!,1 1! 1!

A$ total 2!% ,!2 11!

O< O< O<

3,8 5,8 5,8

A$ 0!,1 1! 1!

A$ total 2!% ,!)0 ,!)0

CORRE90R O< O<

1,2 5,8 5,8

A$ 1!2, 1! 1!

A$ total 2!% ,!2 12!

O< O< O<

L=

t=

A col

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

3,8 5,8 5,8

An 256 256 256

An 176 176 176

An 256 256 256

6M1*&c*Ac$/&  1'8D 1'8D 1'8D

O< O< O<

6M1*&c*Ac$/&  1'2+ 1'2+ 1'2+

O< O< O<

6M1*&c*Ac$/&  1'8D 1'8D 1'8D

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



4.21


650 81 0.175 4.2 0.36 1.8 2.00 1.95 1.95 0.15


0.15 2.4

2.88

0.15 2.4

1.43

0.15

m m m

2.4

N0EL 3 2 1

"( 4'21 2'55 1'43

? 16'+4 25'25 47'82


N0EL 3 2 1

Pcm


PI tn;

1.76 3.52 5.27

0.15 0.51 0.88

1.79 tn 3.64 tn 5.49 tn

1.90 4.03 6.16


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

6.51 13.78 21.04

A A A

102.83 102.83 102.83

A A A

97.5 97.5 97.5


32.5 32.5 32.5


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

0.78

A A

1 1.00

0.78

0.78


2 1

0.33 0.33

A A

0.49 0.34

A A

N0EL 3 2 1

e

K

m

6M++*m

4.21 7.10 8.53

A A A

9.65 6.64 5.24

5.31 3.65 2.88

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

0.49

0.34

S=

19

-m



r min

0.0011

B

0.001

r min

$

0.0022

B

0.001

r min

$

0.0022

B

0.001

r min

$

A cm2 0!,1 0!,1 0!,1

-m -m -m

A$% 1 2 2

3,8 3,8 3,8

0.49 0.34

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

4.21 7.10 8.53

A A A

25.01 21.99 20.59

13.76 12.10 11.33

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

9.65

21.99

20.59


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

0.61

A

N0EL

!(

?!(

3 2 1

8.43 14.20 17.07

21.07 56.57 99.24

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

4.83 3.32 2.62

TRACC0ON

"

1 ,5 *



)

L *  Nc



1

#c



 #cd

#t

* L

ton ton ton



#c

$m

)



1 2

#m * *





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

Pc

?

"

T

3.27 4.88 5.94

9.49 48.61 92.95

4.87 24.93 47.67

1.60 20.05 41.73

Pt

Pc

?

"

T

2.86 2.86 2.86

3.81 4.88 5.94

9.49 48.61 92.95

4.87 24.93 47.67

1.05 20.05 41.73

2.31 2.86 2.86

tn tn tn


P

3 2 1

CO?PRES0ON

"



#c



COL#?NA C @ 1 N0EL C 3 2 1


8.13 29.80 53.61

tn tn tn

3 2 1

8.68 29.80 53.61




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

0.45 5.62 11.69

0.73

12.42

A$&

A$

COL#?NA C @ 2 N0EL A$t 3 2 1

0.30 5.62 11.69

A$

0.73


4 4

3,8 1,2 1,2

Nº ar(lla$

A$ 0!,1 1!2, 1!2,

Nº ar(lla$

A$ 0!,1 1!2, 1!2,


12.42

4 4

3,8 1,2 1,2

4 4

4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

82.28 165.14 217.51

  rec

L=

t=

A col

13 22 28

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00


  rec

3 2 1

75.34 133.27 176.52

12 19 24


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

162.23 111.53 88.01

B B B

390.00 390.00 390.00

B B B

195 195 195

30 30 30

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

COL#?NA C @ 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

162.23 111.53 88.01

B B B

325.00 325.00 325.00

B B B

195 195 195

25 25 25

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5'+3 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

D'+6

14.22

10.00

-m

-m


N0EL 3 2 1

43.00 43.00 45.00


45.00 45.00 45.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 15

> 15

225

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

4.83 3.32 2.62

1.28 0.88 0.69

0.9375 0.9375 0.9375

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<


 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

A$ 0!,1 1! 1! 1!

A$ total 2!% ,!2 12!

O< O< O<

A$ 0!,1 1! 1! 1!

A$ total 2!% ,!2 12!

O< O< O<

L=

t=

A col

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

6M1*&c*Ac$/&  1'83 1'83 1'83

O< O< O<

3,8 5,8 5,8

3,8 5,8 5,8

An 234 234 234

An 189 189 189

D25 D25 D25

6M1*&c*Ac$/&  1'3+ 1'3+ 1'3+

O< O< O<


-ATOS



5.18


650 81 0.175 4.2 0.36 1.8 3.00 5.30 3.98 0.13


0.15 2.5

3.59

0.15 2.5

1.80

0.15

m m m

2.5


N0EL 3 2 1

Pcm


PI tn;

4.88 9.76 14.64

0.43 1.50 2.57

4.99 tn 10.13 tn 15.28 tn

5.31 11.26 17.21

N0EL 3 2 1

"( +'15 3'+7 1'56

? 12'78 34'71 81'3+

1'@ ES"#ER,O ?A0?O   h 2  m  0.2* f ' m* 1      0.15* f ' m Lt   35*t   #m #m

N0EL 3 2 1

Jm

K

JAm'

K

Jma'

7.70 16.34 24.97

A A A

90.75 90.75 90.75

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me


1, 1,3 0.33 0.33 0.33

A A A A

2.12 1.33 0.91

A A A A

1 1.00 1.00 1.00

2.12

1.33

0.91

1.00 1.00 0.91

%o ne-e %o ne-e %o ne-e

N0EL 3 2 1

e

K

m

6M++*m

5.18 8.78 10.58

A A A

29.05 30.24 29.01

15.98 16.63 15.96

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1

S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A

%$A cm2 1 1 1

f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

5.18 8.78 10.58

A A A

47.80 48.98 47.76

26.29 26.94 26.27

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

29.05

30.24

29.01


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.74

A

N0EL

!(

?!(

3 2 1

14.22 9.86 4.93

35.55 95.76 168.28

1

$e 1

3

2.74

2.74



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1




N0EL

c

3 2 1

8.18 8.51 8.17

TRACC0ON

"

N0EL

c

3 2 1

5.45 5.68 5.45

ton ton ton

)





#c

B=

#m * *



0.78 0

1

 1

:onde E =

4

M

m m

L


o

6 * t

Mui

) 

enton-e &

B=

0.78

Pt

Pc

?

"

T

3.01 6.07 9.04

72.63 120.23 132.02

13.70 22.68 24.91

10.70 16.62 15.87

Pc

T

3.77 7.02 10.00

9.93 7.24 3.68

Pc

?

"

T

3.91 7.16 10.14

72.63 120.23 132.02

18.25 30.21 33.17

14.34 23.04 23.03

0.35 0.44 0.44

M

#t  #t

#m #m

2



L

COL#?NA C @ 1 N0EL P 3 2 1

)

#cd  #cd

#c #c

#t

ton ton ton



M

tn tn tn


P

Pt

3 2 1

1.12 1.40 1.40

tn tn tn


P

3 2 1

1.26 1.54 1.54

CO?PRES0ON

"

Pt



#c

COL#?NA C @ 1 N0EL C 3 2 1

16.71 28.75 33.95




tn tn tn

3 2 1

3.08 0.11 3.16


tn tn tn

"

COL#?NA C @ 2 N0EL C tn tn tn tn tn

3 2 1

22.16 37.37 43.31

L

sf

st

f y *  *f

A s 0.85 0.8 1



A sf



A st



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

3.00 4.65 4.44

2.29

6.73

A$&

A$


A$

2.78 2.03 1.03

1.53

2.56


A$&

A$

3 2 1

4.02 6.45 6.45

2.29

8.74


6 4

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


4 4 4

3,8 3,8 3,8


6 2 2

3,8 3,8 3,8

4 4

4 6


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

78.85 149.35 142.69

COL#?NA 0NTER0OR N0EL An 3

132.41

  rec

L=

t=

A col

13 21 20

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

  rec

L=

t=

A col

10.71

15.00

13.00

195.00

COL#?NA C @ 2 N0EL An 3 2 1

103.45 183.12 177.91

  rec 15 24 24

2 1

70.80 49.81

3.87 1.53

15.00 15.00

13.00 13.00

195.00 195.00


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

274.99 286.20 274.60

B B B

325.00 325.00 325.00

B B B

195 195 195

25 25 25

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

COL#?NA 0NTER?E-0A

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

183.33 190.80 183.07

B B B

195.00 195.00 195.00

B B B

195 195 195

15 15 15

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

274.99 286.20 274.60

B B B

325.00 325.00 325.00

B B B

195 195 195

25 25 25

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



S3 =

N0EL 3 2

D'71 d 4



-m



1)

-m

S 2



S2 = S 4

5cm

6.25

0.64

 A( * f y

0,12* tn * f c

14.22

-m

 10cm

S4 =

10.00

-m

-m

4+ con)(nam ?a cm (ento 37.50 35.50

45.00 45.00

f 1,4 & 1 I 0D05J 5 I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 5 I 0D075 ( I 0D20

1

37.50

f 1,4 & 1 I 0D05J 5 I 0D075J ( I 0D20

45.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5.87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

3.75

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 20.50

45.00 45.00 45.00

f 1,4 & 3 I 0D05J 4I 0D075J ( I 0D20 f 1,4 & 3 I 0D05J 4 I 0D075J ( I 0D20 f 1,4 & 3 I 0D05J 4 I 0D075J ( I 0D20




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L

0.9 b 13

> 15

195

N0EL

T$

A$

3 2 1

10.91 11.35 10.89

2.89 3.00 2.88

Area

ar(lla$ 1º

ar(lla$ 2º

6

6

0.71 1.27 1.98 2.85 5.07



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.8125 0.8125 0.8125

O< O< O<



4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

O<

O<

O<

ita (eue(o >o(iontal ita (eue(o >o(iontal ita (eue(o >o(iontal

 Mui

1 2

u)e(io(e& e *

tn tn tn

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 4!2 %!0, ,!2

O< O< O<

3,8 5,8 1,2

A$ 0!,1 1! 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 4!2 )!4 !03

O< O< O<

L=

t=

A col

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

An 189 189 189

An 99 99 99

An 189.00 189.00 189.00

6M1*&c*Ac$/&  1'3+ 1'3+ 1'3+

O< O< O<

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

6M1*&c*Ac$/&  1'3+ 1'3+ 1'3+

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



3.32


650 81 0.175 4.2 0.36 1.8 2.00 3.70 3.70 0.13


0.15 2.4

2.30

0.15 2.4

1.15

0.15

m m m

2.4

N0EL 3 2 1

"( 3'32 2'36 1'1+

? 5'31 22'35 37'32


N0EL 3 2 1

Pcm


PI tn;

4.31 8.63 12.94

0.55 1.93 3.31

4.45 tn 9.11 tn 13.77 tn

4.87 10.56 16.25


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

10.12 21.95 33.78

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.48

A A

1 1.00

1.48

1

2 1

0.33 0.33

A A

0.93 0.64

A A

N0EL 3 2 1

e

K

m

6M++*m

3.32 5.63 6.78

A A A

20.50 20.22 15.59

11.28 11.12 8.58

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

0.93

0.64

o nece$(ta re&!ero %or(ontal o nece$(ta re&!ero %or(ontal o nece$(ta re&!ero %or(ontal

S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A$% 1 1 1

0.93 0.64

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

A cm2 f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

3.32 5.63 6.78

A A A

33.59 33.31 28.68

18.47 18.32 15.77

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

20.50

20.22

15.59


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.30

A

N0EL

!(

?!(

3 2 1

7.64 12.94 15.59

19.11 51.47 90.45

1

$e 1

3

2.30

2.30



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

10.25 10.11 7.80

TRACC0ON

"

1 ,5 *



)

L *  Nc

1

)



1 2

#m * *





#c



 #cd

#t

* L

ton ton ton



#c

$m



M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

Pc

?

"

T

4.37 7.70 10.54

51.26 80.41 71.74

13.85 21.73 19.39

9.49 14.04 8.85

Pt

Pc

?

"

T

3.05 3.05 3.05

5.48 8.33 11.17

51.26 80.41 71.74

13.85 21.73 19.39

8.38 13.41 8.22

1.93 2.42 2.42

tn tn tn


P

3 2 1

CO?PRES0ON

"



#c



COL#?NA C @ 1 N0EL C 3 2 1


18.22 29.43 29.93

tn tn tn

3 2 1

19.33 30.06 30.56




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

A$

2.66 3.93 2.48

2.18

4.66


A$&

A$

3 2 1

2.35 3.76 2.30

2.18


4 4

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


4.49

4 4

3,8 3,8 3,8

4 4

0 4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

127.61 218.45 199.44

  rec

L=

t=

A col

18 28 26

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00


  rec

3 2 1

121.78 186.39 171.33

18 25 23


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

344.61 339.86 262.06

B B B

390.00 390.00 390.00

B B B

195 195 195

30 30 30

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

COL#?NA C @ 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

344.61 339.86 262.06

B B B

344.61 339.86 325.00

B B B

195 195 195

27 26 25

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5'+3 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

7.50

14.22

10.00

-m

-m


N0EL 3 2 1

43.00 43.00 45.00

f 1,4 & 1 I 0D05J 5 I 0D075 ( I 0D20 f 1,4 & 1I 0D05J 5 I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 5 I 0D075J ( I 0D20

45.00 45.00 45.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

10.25 10.11 7.80

2.71 2.67 2.06

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y

O< O< O<



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, ,!2

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, ,!2

O< O< O<

L=

t=

A col

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

6M1*&c*Ac$/&  1'83 1'83 1'83

O< O< O<

An 234 234 234

An 234 234 234

D25 D25 D25

6M1*&c*Ac$/&  1'83 1'83 1'83

O< O< O<


-ATOS



3.59


650 81 0.175 4.2 0.36 1.8 2.00 4.05 4.05 0.13


0.15 2.4

2.49

0.15 2.4

1.24

0.15

m m m

2.4

N0EL 3 2 1

"( 3'+7 2'47 1'24

? 5'78 24'14 42'42


N0EL 3 2 1

Pcm


PI tn;

5.28 10.57 15.85

0.76 2.66 4.55

5.47 tn 11.23 tn 16.99 tn

6.04 13.22 20.41


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

11.48 25.12 38.76

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.62

A A

1 1.00

1.62

1

2 1

0.33 0.33

A A

1.02 0.70

A A

N0EL 3 2 1

e

K

m

6M++*m

3.59 6.07 7.31

A A A

22.58 23.91 18.80

12.42 13.15 10.34

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

1.02

0.70


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A$% 1 1 1

1.00 0.70

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

A cm2 f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6'++*Hm

3.59 6.07 7.31

A A A

36.91 38.23 33.12

20.30 21.03 18.22

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

22.58

23.91

18.80


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.57

A

N0EL

!(

?!(

3 2 1

9.21 15.60 18.80

23.03 62.04 109.03

1

$e 1

3

2.57

2.57



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

11.29 11.95 9.40

TRACC0ON

"

1 ,5 *



)

L *  Nc

1

)



1 2

#m * *





#c



 #cd

#t

* L

ton ton ton



#c

$m



M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

4.05 4.89 4.89

Pc

?

"

T

7.07 11.50 15.09

56.46 95.06 86.47

13.94 23.47 21.35

6.87 11.97 6.26

Pc

?

"

T

3.95 7.77 11.36

56.46 95.06 86.47

13.94 23.47 21.35

9.99 15.71 9.99

tn tn tn


P

3 2 1

0.92 1.15 1.15

CO?PRES0ON

"

Pt



#c



COL#?NA C @ 1 N0EL C 3 2 1


21.01 34.97 36.44

tn tn tn

3 2 1

17.89 31.24 32.71




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

A$

1.92 3.35 1.75

2.63

4.39


A$&

A$

3 2 1

2.80 4.40 2.80

2.63


4 2

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


5.43

4 4

3,8 3,8 3,8

4 4

4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

186.26 304.79 287.03

  rec

L=

t=

A col

25 38 36

40.00 40.00 40.00

13.00 13.00 13.00

520.00 520.00 520.00


  rec

3 2 1

118.71 224.13 206.37

17 29 27


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

379.53 401.79 315.89

B B B

520.00 520.00 520.00

B B B

195 195 195

40 40 40

40.00 40.00 40.00

13.00 13.00 13.00

520.00 520.00 520.00

COL#?NA C @ 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

379.53 401.79 315.89

B B B

390.00 401.79 390.00

B B B

195 195 195

30 31 30

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



9.40 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

10.00

14.22

10.00

-m

-m


N0EL 3 2 1

58.00 58.00 60.00

f 1,4 & 1 I 0D05J 7 I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 7 I 0D75J ( I 0D20 f 1,4 & 1 I 0D05J 7I 0D75J ( I 0D20

55.00 55.00 55.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

11.29 11.95 9.40

2.99 3.16 2.49

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

6

6

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y

O< O< O<



4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, )!4

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, ,!2

O< O< O<

L=

t=

A col

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

6M1*&c*Ac$/&  2'1D 2'1D 2'1D

O< O< O<

An 324 324 324

An 279 279 279

D25 D25 D25

6M1*&c*Ac$/&  1'76 1'76 1'76

O< O< O<


-ATOS



3.64


650 81 0.175 4.2 0.36 1.8 2.00 4.10 4.10 0.13


0.15 2.4

2.52

0.15 2.4

1.26

0.15

m m m

2.4

N0EL 3 2 1

"( 3'84 2'+2 1'28

? 7'67 24'47 43'63


N0EL 3 2 1

Pcm


PI tn;

4.79 9.59 14.38

0.61 2.15 3.68

4.95 tn 10.12 tn 15.30 tn

5.41 11.74 18.06


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

10.15 22.02 33.89

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.64

A A

1 1.00

1.64

1

2 1

0.33 0.33

A A

1.03 0.71

A A

N0EL 3 2 1

e

K

m

6M++*m

3.64 6.16 7.42

A A A

22.72 23.92 18.78

12.50 13.15 10.33

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

1.03

0.71


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A$% 1 1 1

1.00 0.71

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

A cm2 f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

3.64 6.16 7.42

A A A

37.23 38.42 33.28

20.47 21.13 18.30

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

22.72

23.92

18.78


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.53

A

N0EL

!(

?!(

3 2 1

9.20 15.59 18.78

23.01 61.98 108.92

1

$e 1

3

2.53

2.53



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

11.36 11.96 9.39

TRACC0ON

"

1 ,5 *



)

L *  Nc

1

)



1 2

#m * *





#c



 #cd

#t

* L

ton ton ton



#c

$m



M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

4.40 5.51 5.51

Pc

?

"

T

7.10 11.38 14.54

4.26 33.28 86.39

1.04 8.12 21.07

8.14 3.26 6.53

Pc

?

"

T

6.77 10.93 14.10

4.26 33.28 86.39

1.04 8.12 21.07

7.81 2.82 6.97

tn tn tn


P

3 2 1

4.07 5.06 5.06

CO?PRES0ON

"

Pt



#c



COL#?NA C @ 1 N0EL C 3 2 1


6.06 19.49 35.61

tn tn tn

3 2 1

5.73 19.05 35.17




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

2.28 0.91 1.83

2.63

4.46

A$&

A$

COL#?NA C @ 2 N0EL A$t 3 2 1

2.19 0.79 1.95

A$

2.63


4 4 8

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


4.58

4 4 8

3,8 3,8 3,8


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

150.97 265.32 274.58

  rec

L=

t=

A col

21 33 35

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00


  rec

3 2 1

143.87 255.73 265.00

20 32 33


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

381.92 401.93 315.58

B B B

455.00 455.00 455.00

B B B

195 195 195

35 35 35

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00

COL#?NA C @ 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

381.92 401.93 315.58

B B B

455.00 455.00 455.00

B B B

195 195 195

35 35 35

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



9.02 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

8.75

14.22

10.00

-m

-m


N0EL 3 2 1

50.50 50.50 52.50

f 1,4 & 1 I 0D05J 7I 0D075J ( I 0D125 f 1,4 & 1 I 0D05J 7 I 0D075J ( I 0D125 f 1,4 & 1 I 0D05J 7 I 0D075 ( I 0D125

60.00 60.00 60.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

11.36 11.96 9.39

3.01 3.16 2.48

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

6

6

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y

O< O< O<



4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% %!,0

O< O< O<

3,8 1,2 5,8

A$ 0!,1 1!2, 1!

A$ total 2!% 2!% %!,0

O< O< O<

L=

t=

A col

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00

6M1*&c*Ac$/&  1'76 1'76 1'76

O< O< O<

An 279 279 279

An 279 279 279

D25 D25 D25

6M1*&c*Ac$/&  1'76 1'76 1'76

O< O< O<


-ATOS



8.68


650 81 0.175 4.2 0.36 1.8 3.00 8.00 4 0.13


0.15 2.5

6.02

0.15 2.5

3.01

0.15

m m m

2.5


N0EL 3 2 1

Pcm


PI tn;

7.61 15.21 22.82

0.71 2.50 4.28

7.79 tn 15.84 tn 23.89 tn

8.32 17.71 27.10

N0EL 3 2 1

"( 5'85 8'62 3'61


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

8.00 17.03 26.06

A A A

90.75 90.75 90.75

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me


1,3 0.33 0.33 0.33

A A A A

3.20 2.01 1.38

A A A A

1 1.00 1.00 1.00

3.20

2.01

1.38

1.00 1.00 1.00

? 21'87 +5'42 162'8D

N0EL 3 2 1

e

K

m

6M++*m

8.68 14.69 17.70

A A A

43.91 45.76 47.61

24.15 25.17 26.19

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A

%$A cm2 1 1 1

f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

8.68 14.69 17.70

A A A

72.21 74.06 75.91

39.71 40.73 41.75

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

43.91

45.76

47.61


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.69

A

N0EL

!(

?!(

3 2 1

23.34 16.18 8.09

58.35 157.16 276.20

1

$e 1

3

2.69

2.69



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1




N0EL

c

3 2 1

8.23 8.58 8.93

TRACC0ON

"

N0EL

c

3 2 1

5.49 5.72 5.95

ton ton ton

)





#c

)

 #cd

#c

#t

#m * *



ton ton ton

1

 1

:onde E =

4

M

M

L

 #t

#m

2




o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

2.79 3.35 3.35

Pc

?

"

T

6.95 12.21 16.90

109.78 181.97 216.68

13.72 22.75 27.09

6.77 10.54 10.18

Pc

T

8.75 14.53 19.22

4.97 0.23 4.34

tn tn tn


P

Pt

3 2 1

4.59 5.68 5.68

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.33 0.40 0.40

3.58 3.58 3.58

8.06 12.83 17.53

109.78 181.97 216.68

27.44 45.49 54.17

19.38 32.66 36.64

CO?PRES0ON

"



#c

COL#?NA C @ 1 N0EL C 3 2 1

20.67 34.95 43.99




tn tn tn

3 2 1

1.89 7.38 11.78


tn tn tn

"


3 2 1

35.51 58.33 71.70

tn tn tn



M L

sf

st

f y *  *f

A s 0.85 0.8 1

A sf





A st



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

1.90 2.95 2.85

2.50

5.35

A$&

A$


1.39 0.06 1.22

1.67

1.67

A$&

A$

COL#?NA C @ 2 N0EL A$t 3 2 1

5.43 9.15 10.26

A$

2.50

12.76


4 6 2

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


4 4 4

3,8 3,8 3,8


4 4

3,8 3,8 3,8

0 4

6 6 8


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

183.16 318.33 344.44

COL#?NA 0NTER0OR N0EL An 3 2

25.09 90.79

  rec

L=

t=

A col

24 39 42

45.00 45.00 45.00

13.00 13.00 13.00

585.00 585.00 585.00

  rec

L=

t=

A col

1 14

15.00 15.00

13.00 13.00

195.00 195.00

COL#?NA C @ 2 N0EL An 3 2 1

193.15 310.99 340.92

  rec 25 39 42

1

84.30

13

15.00

13.00

195.00


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

276.75 288.42 300.09

B B B

585.00 585.00 585.00

B B B

195 195 195

45.00 45.00 45.00

45.00 45.00 45.00

13.00 13.00 13.00

585.00 585.00 585.00

COL#?NA 0NTER?E-0A

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

184.50 192.28 200.06

B B B

195.00 195.00 200.06

B B B

195 195 195

15.00 15.00 15.39

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

276.75 288.42 300.09

B B B

585.00 585.00 585.00

B B B

195 195 195

45.00 45.00 45.00

45.00 45.00 45.00

13.00 13.00 13.00

585.00 585.00 585.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



S3 =

N0EL 3 2 1

9.72 d 4



-m



1)

-m

S 2



S2 = S 4

5cm

11.25

0.64

 A( * f y

0,12* tn * f c

14.22

-m

 10cm

S4 =

10.00

-m

-m

4+ con)(nam ?a cm (ento 65.50 65.50 65.50

65.00 65.00 65.00

f 1,4 & 1 I 0D05J 8 I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 8 I 0D075 ( I 0D20 f 1,4 & 1 I 0D05J 8 I 0D075J ( I 0D20


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5.87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

3.75

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 20.50


45.00 45.00 45.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L

0.9 b 13

> 15

195

N0EL

T$

A$

3 2 1

10.98 11.44 11.90

2.90 3.03 3.15

Area

ar(lla$ 1º

ar(lla$ 2º

6

6

0.71 1.27 1.98 2.85 5.07



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.8125 0.8125 0.8125

O< O< O<



4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 4!2 )!4

O< O< O<

3,8 1,2 5,8

A$ 0!,1 1!2, 1!

A$ total 2!% 2!% 2!%

O< O< O<

1,2 1,2 1,2

A$ 1!2, 1! 1!2, 1! 1!2,

A$ total ,!)0 10!4% 12!

O< O< O<

L=

t=

A col

45.00 45.00 45.00

13.00 13.00 13.00

585.00 585.00 585.00

An 369 369 369

An 99 99 99

An 369.00 369.00 369.00

6M1*&c*Ac$/&  2'44 2'44 2'44

O< O< O<

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

6M1*&c*Ac$/&  2'44 2'44 2'44

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



4.13


650 81 0.175 4.2 0.36 1.8 3.00 4.40 3.5 0.13


0.15 2.5

2.86

0.15 2.5

1.43

0.15

m m m

2.5


N0EL 3 2 1

Pcm


PI tn;

3.86 7.72 11.58

0.30 1.06 1.81

3.93 tn 7.98 tn 12.03 tn

4.16 8.78 13.39

N0EL 3 2 1

"( 4'13 2'58 1'43


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

7.27 15.34 23.41

A A A

90.75 90.75 90.75

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me


1, 1,3 0.33 0.33 0.33

A A A A

1.76 1.11 0.76

A A A A

1 1.00 1.00 1.00

1.76

1.11

0.76

1.00 1.00 0.76

? 16'33 2D'56 45'5+

N0EL 3 2 1

e

K

m

6M++*m

4.13 6.99 8.42

A A A

24.07 25.00 20.33

13.24 13.75 11.18

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A

%$A cm2 1 1 1

f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

4.13 6.99 8.42

A A A

39.63 40.56 35.90

21.80 22.31 19.74

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

24.07

25.00

20.33


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.42

A

N0EL

!(

?!(

3 2 1

9.98 6.90 3.45

24.95 67.15 117.99

1

$e 1

3

2.42

2.42



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1




N0EL

c

3 2 1

7.18 7.46 6.07

TRACC0ON

"

N0EL

c

3 2 1

4.79 4.97 4.04

ton ton ton

)





#c

B=

#m * *



0.78 0

1

 1

:onde E =

4

M

m m

L


o

6 * t

Mui

) 

enton-e &

B=

0.78

Pt

Pc

?

"

T

2.24 4.58 6.89

60.18 99.46 92.57

13.68 22.61 21.04

11.44 18.03 14.15

Pt

Pc

T

2.31 2.31 2.31

4.39 6.70 9.01

9.28 7.51 2.55

Pt

Pc

?

"

T

4.85 7.80 10.10

60.18 99.46 92.57

13.68 22.61 21.04

8.83 14.81 10.93

0.16 0.19 0.19

M

 #t

#m

2



L

COL#?NA C @ 1 N0EL P 3 2 1

)

 #cd

#c

#t

ton ton ton

tn tn tn


P

3 2 1

tn tn tn


P

3 2 1

2.77 3.41 3.41

CO?PRES0ON

"



#c

COL#?NA C @ 1 N0EL C 3 2 1

15.91 27.19 27.93




tn tn tn

3 2 1

2.45 0.40 3.23


tn tn tn

"


3 2 1

18.53 30.40 31.14

tn tn tn



M L

sf

st

f y *  *f

A s 0.85 0.8 1

A sf





A st



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

3.20 5.05 3.96

1.70

5.66

A$&

A$


A$

2.60 2.10 0.71

1.13

1.85


A$&

A$

3 2 1

2.47 4.15 3.06

1.70

4.76


6 2 2

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


4 4 6

3,8 3,8 3,8


4

3,8 3,8 3,8

4 4

0 4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

81.13 153.20 141.03


94.31

  rec

L=

t=

A col

13 21 20

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

  rec

L=

t=

A col

6.48

15.00

13.00

195.00

COL#?NA C @ 2 N0EL An 3 2 1

137.60 222.71 210.54

  rec 19 29 27

2 1

61.13 19.25

2.79 1.86

15.00 15.00

13.00 13.00

195.00 195.00


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

241.35 250.69 203.88

B B B

325.00 325.00 325.00

B B B

195 195 195

25 25 25

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

COL#?NA 0NTER?E-0A

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

160.90 167.13 135.92

B B B

195.00 195.00 195.00

B B B

195 195 195

15 15 15

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

241.35 250.69 203.88

B B B

390.00 390.00 390.00

B B B

195 195 195

30.00 30.00 30.00

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



S3 =

N0EL 3 2

8.53 d 4



-m



1)

-m

S 2



S2 = S 4

5cm

7.50

0.64

 A( * f y

0,12* tn * f c

14.22

-m

 10cm

S4 =

10.00

-m

-m

4+ con)(nam ?a cm (ento 37.50 35.50

45.00 45.00

f 1,4 & 1 I 0D05J 5I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 5 I 0D075 ( I 0D20

1

37.50

f 1,4 & 1 I 0D05J 5 I 0D075J ( I 0D20

45.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5.87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

3.75

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 20.50

45.00 45.00 45.00





 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L

0.9 b 13

> 15

195

N0EL

T$

A$

3 2 1

9.57 9.94 8.09

2.53 2.63 2.14

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.8125 0.8125 0.8125

O< O< O<



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 4!2 )!4 )!4

O< O< O<

3,8 1,2 5,8

A$ 0!,1 1!2, 1!

A$ total 2!% 2!% 4!2

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, %!0,

O< O< O<

L=

t=

A col

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

An 189 189 189

An 99 99 99

An 234.00 234.00 234.00

6M1*&c*Ac$/&  1'3+ 1'3+ 1'3+

O< O< O<

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

6M1*&c*Ac$/&  1'83 1'83 1'83

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



11.70


650 81 0.175 4.2 0.36 1.8 5.00 10.43 5.22 0.13


0.15 2.4

8.15

0.15 2.4

3.95

0.15

m m m

2.4


N0EL 3 2 1

Pcm


PI tn;

12.60 25.21 37.81

1.58 5.54 9.49

13.00 tn 26.59 tn 40.18 tn

14.19 30.74 47.30

N0EL 3 2 1

"( 11'D6 5'1+ 3'7+


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

10.47 22.69 34.90

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me


1,3 0.33 0.33 0.33

A A A A

4.17 2.62 1.79

A A A A

1 1.00 1.00 1.00

4.17

2.62

1.79

1 1 1

? 27'24 D5'58 135'34

N0EL 3 2 1

e

K

m

6M++*m

11.70 19.85 23.79

A A A

57.88 61.00 64.13

31.83 33.55 35.27

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A

%$A cm2 1 1 1

f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

11.70 19.85 23.79

A A A

94.75 97.88 101.00

52.11 53.83 55.55

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

57.88

61.00

64.13


$m

M ui  M e

1

$m 1

$ e 1

2

:onde &

$ e 1

A

2.70

A

N0EL

!(

?!(

3 2 1

31.53 21.96 10.64

78.82 212.56 372.88

3

2.70

2



2.70

$m 1 $e 1



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1




N0EL

c

3 2 1

7.25 7.64 8.03

TRACC0ON

"



B=

0.78 0



m m

)

3 2 1

4.83 5.09 5.35



ton ton ton

#c

)

 #cd

#m * *

 1

:onde E =

3 2 1

2.19 2.82 2.82

P

3 2 1

1.95 2.47 2.47

P

3 2 1

3.14 3.99 3.99

COL#?NA C @ 2

o

Pt

Pc

?

"

T

8.03 16.58 24.86

144.69 242.40 295.92

13.88 23.25 28.39

5.85 6.68 3.53

Pc

T

9.29 18.20 26.48

4.04 4.15 11.71

Pc

T

9.04 17.84 26.12

4.28 3.80 11.36

Pc

T

10.23 19.37 27.65

3.09 5.32 12.88

tn tn tn

Pt

tn tn tn

COL#?NA 0NTER0OR 3 N0EL

* Lt

0.78

Pt

Pt

L

a(a )io

B=

COL#?NA 0NTER0OR 2 N0EL

4

M

6 * t

Mui

) 

COL#?NA 0NTER0OR 1 P

2

M

 #t

#m

enton-e &

0.93 1.20 1.20

N0EL

1



L

COL#?NA C @ 1 N0EL P 3 2 1

c

ton ton ton

#c

#t

N0EL

tn tn tn

tn tn tn



M L

N0EL

P

3 2 1

2.70 3.38 3.38

CO?PRES0ON

Pt

Pc

?

"

T

9.79 18.75 27.03

144.69 242.40 295.92

13.88 23.25 28.39

4.09 4.50 1.36

olumna +xt(ema

C



#c



olumna nte(na

C

)

COL#?NA C @ 1 N0EL C 3 2 1

 #c



$m

* h

2 * L

COL#?NA C @ 2 N0EL C

21.90 39.83 53.24

tn tn tn

3 2 1

COL#?NA 0NTER0OR 1 N0EL C 3 2 1

tn tn tn

2.62 11.17 19.09

23.67 42.00 55.42

tn tn tn

COL#?NA 0NTER0OR 2 N0EL C

tn tn tn

3 2 1

2.38 11.18 19.46

COL#?NA N0EL

tn tn tn

3 2 1




$c f y *  *f

A s 0.85 0.8 1



A sf



A st



1.64 1.87 0.99

A$&

2.25

COL#?NA 0NTER0OR 1 N0EL A$t A$& 3 2 1

1.13 1.16 3.28

1.50


st

"



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A

1.20 1.06 3.18

1.50

A$

3.24


A$

1.50

3,8 3,8 3,8

Nº ar(lla$

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


A$

1.50

6 6 6

A$ 0!,1 0!,1 0!,1

4 4 4

3,8 3,8 3,8


4 4 4

3,8 3,8 3,8


0.87 1.49 3.61

1.50

1.50

A$&

A$

COL#?NA C @ 2 N0EL A$t 3 2 1

1.15 1.26 0.38

A$

2.25

2.63


4 4 4

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


6 6 6

3,8 3,8 3,8


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 16

20

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

206.72 414.01 528.14

  rec

L=

t=

A col

17 30 37

40.00 40.00 40.00

20.00 20.00 20.00

800.00 800.00 800.00

COL#?NA 0NTER0OR 1 N0EL An   rec 3 @D'27 4 2 1

174.02 177.80

15 15

L=

t=

A col

15.00 15.00 15.00

20.00 20.00 20.00

300.00 300.00 300.00

L=

t=

A col

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00

COL#?NA 0NTER0OR 3 N0EL An   rec 3 2 1

13.13 203.64 200.49

5 17 17


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

COL#?NA C @ 2 N0EL An 3 2 1

244.85 460.97 575.10

  rec 19 33 40

COL#?NA 0NTER0OR 2 N0EL An   rec 3 2 1

12.50 170.66 182.17

3 15 15

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

243.53 256.69 269.84

B B B

800.00 800.00 800.00

B B B

300 300 300

40 40 40

40.00 40.00 40.00

20.00 20.00 20.00

800.00 800.00 800.00

COL#?NA 0NTER?E-0A 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

162.36 171.12 179.89

B B B

300.00 300.00 300.00

B B B

300 300 300

15 15 15

15.00 15.00 15.00

20.00 20.00 20.00

300.00 300.00 300.00


N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

162.36 171.12 179.89

B B B

300.00 300.00 300.00

B B B

300 300 300

15.00 15.00 15.00

15.00 15.00 15.00

20.00 20.00 20.00

300.00 300.00 300.00


N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

162.36 171.12 179.89

B B B

400.00 400.00 400.00

B B B

300 300 300

20.00 20.00 20.00

20.00 20.00 20.00

20.00 20.00 20.00

400.00 400.00 400.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

243.53 256.69 269.84

B B B

800.00 800.00 800.00

B B B

300 300 300

40.00 40.00 40.00

40.00 40.00 40.00

20.00 20.00 20.00

800.00 800.00 800.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 =

8.23 d

-m

0.64



1)

-m

S 2



S2 = S 4

 A( * f y

0,12* tn * f c

8.00

 10cm

-m



3

cm

4

S3 =

S4 =

10.00

10.00

-m

-m


N0EL 3 2 1

60.00 60.00 60.00

f 1,4 & 1 I 0D05J 7I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 7I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 7I 0D075J ( I 0D20

60.00 60.00 60.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



4.54 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

5.00

8.00

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 20.50

45.00 45.00 45.00

f 1,4 & 1 I 0D05J 4I 0D10 ( I 0D20 f 1,4 & 1 I 0D05J 4I 0D10J ( I 0D20 f 1,4 & 1 I 0D05J 4 I 0D10J ( I 0D20




 v ole(a=

3,8 1,2 5,8

$m *

Lm

A s

2 L

0.9 b 13

> 15

195

N0EL

T$

A$

3 2 1

14.49 15.27 16.06

3.83 4.04 4.25

Area

ar(lla$ 1º

ar(lla$ 2º

6

6

0.71 1.27 1.98



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.8125 0.8125 0.8125

O< O< O<



4.26 0.00 0.00

4.26 0.00 0.00

4.26 0.00 0.00

3,4 1

2.85 5.07

0.00 0.00 4.26

0.00 0.00 4.26

0.00 0.00 4.26

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

0NTER0OR 3 C 3.57 12.70 20.98

tn tn tn

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 4!2 4!2 4!2

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

3,8 1,2 5,8

A$ 0!,1 1!2, 1!

A$ total 4!2 4!2 4!2

O< O< O<

L=

t=

A col

40.00 40.00 40.00

20.00 20.00 20.00

800.00 800.00 800.00

L=

t=

A col

15.00 15.00 15.00

20.00 20.00 20.00

300.00 300.00 300.00

An 576 576 576

An 176 176 176

An 176 176 176

An 256 256 256

An 576.00 576.00 576.00

6M1*&c*Ac$/&  3'33 3'33 3'33

O< O< O<

6M1*&c*Ac$/&  1'2+ 1'2+ 1'2+

O< O< O<

6M1*&c*Ac$/&  1'2+ 1'2+ 1'2+

O< O< O<

6M1*&c*Ac$/&  1'8D 1'8D 1'8D

O< O< O<

6M1*&c*Ac$/&  3'33 3'33 3'33

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



1.90


650 81 0.175 4.2 0.36 1.8 3.00 2.50 1.5 0.13


0.15 2.5

1.32

0.15 2.5

0.66

0.15

m m m

2.5


N0EL 3 2 1

Pcm


PI tn;

2.24 4.47 6.71

0.18 0.64 1.10

2.28 tn 4.64 tn 6.99 tn

2.42 5.12 7.82

N0EL 3 2 1

"( 1'76 1'32 6'88


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

7.45 15.75 24.05

A A A

90.75 90.75 90.75

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me


1,3 0.33 0.33 0.33

A A A A

1.00 0.63 0.43

A A A A

1 1.00 1.00 1.00

1.00

0.63

0.43

1.00 0.63 0.43

? 4'D+ 12'D5 22'4D

N0EL 3 2 1

e

K

m

6M++*m

1.90 3.22 3.87

A A A

13.69 9.34 7.28

7.53 5.14 4.00

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A

%$A cm2 1 1 1

f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

1.90 3.22 3.87

A A A

22.53 18.18 16.12

12.39 10.00 8.87

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

13.69

9.34

7.28


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

1.88

A

N0EL

!(

?!(

3 2 1

3.80 2.63 1.32

9.49 25.57 44.93

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1




N0EL

c

3 2 1

3.08 2.10 1.64

TRACC0ON

"

N0EL

c

3 2 1

2.05 1.40 1.09

ton ton ton

)





#c

B=

#m * *



0.78 0

1

 1

:onde E =

4

M

m m

L


o

6 * t

Mui

) 

enton-e &

B=

0.78

Pt

Pc

?

"

T

2.48 4.14 5.49

34.22 37.15 35.83

13.69 14.86 14.33

11.21 10.72 8.84

Pc

T

1.74 3.22 4.56

11.95 6.13 2.72

1.27 1.58 1.58

M

 #t

#m

2



L

COL#?NA C @ 1 N0EL P 3 2 1

)

 #cd

#c

#t

ton ton ton

tn tn tn


P

Pt

3 2 1

0.53 0.66 0.66

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

0.41 0.51 0.51

2.49 2.49 2.49

4.12 5.57 6.92

34.22 37.15 35.83

13.69 14.86 14.33

9.57 9.29 7.42

CO?PRES0ON

"



#c

COL#?NA C @ 1 N0EL C 3 2 1

16.16 19.00 19.83




tn tn tn

3 2 1

5.11 1.46 0.92


tn tn tn

"


3 2 1

17.80 20.43 21.25

tn tn tn



M L

sf

st

f y *  *f

A s 0.85 0.8 1



A sf



A st



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

3.14 3.00 2.48

0.46

2.94

A$&

A$


A$

3.35 1.72 0.76

0.31

1.07


A$&

A$

3 2 1

2.68 2.60 2.08

0.46

2.54


6 6 6

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


6 6 6

3,8 3,8 3,8


4 4 4

3,8 3,8 3,8


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

86.37 125.18 137.33


176.07

  rec

L=

t=

A col

14 18 19

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00

  rec

L=

t=

A col

15.56

15.00

13.00

195.00

COL#?NA C @ 2 N0EL An 3 2 1

97.97 125.28 134.99

  rec 15 18 19

2 1

76.33 25.50

4.48 1.17

15.00 15.00

13.00 13.00

195.00 195.00


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

103.52 70.65 55.06

B B B

260.00 260.00 260.00

B B B

195 195 195

20.00 20.00 20.00

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00

COL#?NA 0NTER?E-0A

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

69.01 47.10 36.71

B B B

195.00 195.00 195.00

B B B

195 195 195

15.00 15.00 15.00

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

103.52 70.65 55.06

B B B

260.00 260.00 260.00

B B B

195 195 195

20.00 20.00 20.00

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



S3 =

N0EL 3 2

7.06 d 4



-m



1)

-m

S 2



S2 = S 4

5cm

5.00

0.64

 A( * f y

0,12* tn * f c

14.22

-m

 10cm

S4 =

10.00

-m

-m

4+ con)(nam ?a cm (ento 30.00 28.00

45.00 45.00

f 1,4 & 1 I 0D05J 4 I 0D10J ( I 0D25 f 1,4 & 1 I 0D05J 4I 0D10 ( I 0D25

1

30.00

f 1,4 & 1 I 0D05J 4 I 0D10 J ( I 0D25

45.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5.87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

3.75

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 20.50

45.00 45.00 45.00





 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L

0.9 b 15

> 15

225

N0EL

T$

A$

3 2 1

4.11 2.80 2.18

1.09 0.74 0.58

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.9375 0.9375 0.9375

O< O< O<



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 4!2 4!2 4!2

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 4!2 4!2 4!2

O< O< O<

1,2 1,2 1,2

A$ 1!2, 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

L=

t=

A col

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00

An 144 144 144

An 99 99 99

An 144.00 144.00 144.00

6M1*&c*Ac$/&  1'65 1'65 1'65

O< O< O<

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

6M1*&c*Ac$/&  1'65 1'65 1'65

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



4.02


650 81 0.175 4.2 0.36 1.8 2.00 4.25 4.25 0.13


0.15 2.4

2.89

0.15 2.4

1.25

0.15

m m m

2.4

N0EL 3 2 1

"( 4'62 2'57 1'2+

? 16'64 2D'31 4D'D6


N0EL 3 2 1

Pcm


PI tn;

4.30 8.60 12.89

0.45 1.58 2.70

4.41 tn 8.99 tn 13.57 tn

4.75 10.17 15.59


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

8.59 18.41 28.22

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

1.70

A A

1 1.00

1.70

1

2 1

0.33 0.33

A A

1.07 0.73

A A

N0EL 3 2 1

e

K

m

6M++*m

4.02 6.91 8.15

A A A

23.39 24.44 19.38

12.86 13.44 10.66

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

1.07

0.73


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A$% 1 1 1

1.00 0.73

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

A cm2 f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

4.02 6.91 8.15

A A A

38.42 39.48 34.41

21.13 21.71 18.93

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

23.39

24.44

19.38


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.38

A

N0EL

!(

?!(

3 2 1

9.55 16.42 19.38

23.87 64.91 113.35

1

$e 1

3

2.38

2.38



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

11.70 12.22 9.69

TRACC0ON

"

1 ,5 *



)

L *  Nc

1

)



1 2

#m * *





#c



 #cd

#t

* L

ton ton ton



#c

$m



M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

Pc

?

"

T

2.83 5.64 8.36

58.48 96.65 90.10

13.76 22.74 21.20

10.93 17.10 12.84

Pt

Pc

?

"

T

2.46 2.46 2.46

4.84 7.55 10.26

58.48 96.65 90.10

13.76 22.74 21.20

8.92 15.19 10.94

0.46 0.56 0.56

tn tn tn


P

3 2 1

CO?PRES0ON

"



#c



COL#?NA C @ 1 N0EL C 3 2 1


16.59 28.39 29.56

tn tn tn

3 2 1

18.59 30.29 31.46




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

A$

3.06 4.79 3.60

2.71

6.31


A$&

A$

3 2 1

2.50 4.26 3.06

2.71


6 2

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


5.78

4 2

3,8 3,8 3,8

4 4

4 4


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

94.24 176.53 138.35

  rec

L=

t=

A col

14 24 19

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00


  rec

3 2 1

137.51 217.64 179.47

19 28 24


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

393.12 410.82 325.68

B B B

393.12 410.82 325.68

B B B

195 195 195

30 32 25

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00

COL#?NA C @ 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

393.12 410.82 325.68

B B B

393.12 410.82 390.00

B B B

195 195 195

30 32 30

35.00 35.00 35.00

13.00 13.00 13.00

455.00 455.00 455.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



9.02 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

8.75

14.22

10.00

-m

-m


N0EL 3 2 1

50.50 50.50 50.50

f 1,4 & 1 I 0D05J 7 I 0D075 ( I 0D20 f 1,4 & 1 I 0D05J 7 I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 7 I 0D075J ( I 0D20

55.00 55.00 55.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

11.70 12.22 9.69

3.09 3.23 2.56

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

6

6

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y

O< O< O<



4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

4.26 0.00 0.00 0.00 0.00 4.26

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

1,2 1,2 1,2

A$ 1!2, 1!2, 1!2,

A$ total 4!2 %!0, )!4

O< O< O<

1,2 1,2 1,2

A$ 1!2, 1!2, 1!2,

A$ total 2!% %!0, )!4

O< O< O<

L=

t=

A col

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

6M1*&c*Ac$/&  1'76 1'76 1'76

O< O< O<

An 279 279 279

An 279 279 279

D25 D25 D25

6M1*&c*Ac$/&  1'76 1'76 1'76

O< O< O<


-ATOS



1.21


650 81 0.175 4.2 0.36 1.8 2.00 2.00 2.00 0.13


0.15 2.4

0.86

0.15 2.4

0.39

0.15

m m m

2.4

N0EL 3 2 1

"( 1'21 6'58 6'37

? 3'64 5'24 14'46


N0EL 3 2 1

Pcm


PI tn;

1.80 3.59 5.39

0.15 0.52 0.89

1.83 tn 3.72 tn 5.61 tn

1.95 4.11 6.28


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

7.48 15.82 24.17

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

0.80

A A

1 1.00

0.80

0.8

2 1

0.33 0.33

A A

0.51 0.34

A A

N0EL 3 2 1

e

K

m

6M++*m

1.21 2.08 2.47

A A A

8.85 6.17 4.90

4.87 3.40 2.69

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

0.51

0.34


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A$% 1 1 1

0.51 0.34

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

A cm2 f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

1.21 2.08 2.47

A A A

15.92 13.25 11.97

8.76 7.29 6.58

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

8.85

6.17

4.90


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

1.99

A

N0EL

!(

?!(

3 2 1

2.43 4.16 4.93

6.07 16.47 28.80

1

$e 1

3

2.00

2.00



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

4.42 3.09 2.45

TRACC0ON

"

1 ,5 *



)

L *  Nc



1

#c



 #cd

#t

* L

ton ton ton



#c

$m

)



1 2

#m * *





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

0.13 0.16 0.16

Pc

?

"

T

1.10 2.22 3.30

22.11 24.45 22.93

11.06 12.23 11.46

9.95 10.01 8.16

Pc

?

"

T

2.23 3.59 4.68

22.11 24.45 22.93

11.06 12.23 11.46

8.82 8.63 6.78

tn tn tn


P

3 2 1

1.26 1.54 1.54

CO?PRES0ON

"

Pt



#c



COL#?NA C @ 1 N0EL C 3 2 1


12.16 14.44 14.77

tn tn tn

3 2 1

13.29 15.82 16.14




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

A$

2.79 2.80 2.29

0.69

2.97


A$&

A$

3 2 1

2.47 2.42 1.90

0.69


4 4 6

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


2.59

4 4 4

3,8 3,8 3,8


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

50.37 77.28 75.36

  rec

L=

t=

A col

10 13 12

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


  rec

3 2 1

74.81 107.01 105.09

12 16 16


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

148.67 103.76 82.31

B B B

195.00 195.00 195.00

B B B

195 195 195

15 15 15

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

148.67 103.76 82.31

B B B

260.00 260.00 260.00

B B B

195 195 195

20 20 20

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



7.06 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

5.00

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 22.50

45.00 45.00 45.00





 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 13

> 15

195

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

4.42 3.09 2.45

1.17 0.82 0.65

0.8125 0.8125 0.8125

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y

O< O< O<



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 4!2

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

L=

t=

A col

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

An 99 99 99

An 144 144 144

D25 D25 D25

6M1*&c*Ac$/&  1'65 1'65 1'65

O< O< O<


-ATOS



6.37


650 81 0.175 4.2 0.36 1.8 3.00 6.19 3.26 0.13


0.15 2.4

4.42

0.15 2.4

2.17

0.15

m m m

2.4


N0EL 3 2 1

Pcm


PI tn;

5.33 10.65 15.98

0.40 1.39 2.38

5.42 tn 11.00 tn 16.57 tn

5.72 12.04 18.35

N0EL 3 2 1

"( 8'3D 4'42 2'1D


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

7.11 14.96 22.81

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L 1 Me


1, 1,3 0.33 0.33 0.33

A A A A

2.48 1.56 1.07

A A A A

1 1.00 1.00 1.00

2.48

1.56

1.07

1.00 1.00 1.00

? 1+'73 42'71 D+'31

N0EL 3 2 1

e

K

m

6M++*m

6.37 10.79 12.96

A A A

33.84 35.12 36.40

18.61 19.32 20.02

> de lad(illo =

8

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

N0EL 3 2 1


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A

%$A cm2 1 1 1

f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

6.37 10.79 12.96

A A A

55.73 57.01 58.29

30.65 31.36 32.06

fs 

fy 2

tn,-m2

N0EL 3 2 1

$K $K $K

Hm

33.84

35.12

36.40


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.81

A

N0EL

!(

?!(

3 2 1

17.91 12.41 6.08

44.76 120.56 211.56

1

$e 1

3

2.81

2.81



3


"#ER,A CORTANTE

$c

1 ,5 *



* L

$m

L *  Nc

1




N0EL

c

3 2 1

6.68 6.94 7.19

TRACC0ON

"

N0EL

c

3 2 1

4.46 4.62 4.79

ton ton ton

)





#c

)

 #cd

#c

#t

#m * *



ton ton ton

1

 1

:onde E =

4

M

M

L

 #t

#m

2




o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

Pc

?

"

T

4.40 7.93 11.09

84.59 139.65 167.88

13.67 22.56 27.12

9.27 14.63 16.03

Pc

T

3.81 7.23 10.39

9.31 6.38 3.72

Pt

Pc

?

"

T

1.00 1.00 1.00

3.86 7.01 10.17

84.59 139.65 167.88

13.67 22.56 27.12

9.81 15.55 16.95

1.54 1.91 1.91

tn tn tn


P

Pt

3 2 1

0.94 1.22 1.22

tn tn tn


P

3 2 1

CO?PRES0ON

"



#c

COL#?NA C @ 1 N0EL C 3 2 1

18.06 30.49 38.21




tn tn tn

3 2 1

2.75 0.43 3.33


tn tn tn

"


3 2 1

17.52 29.57 37.29

tn tn tn



M L

sf

st

f y *  *f

A s 0.85 0.8 1

A sf





A st



f y * f

0 ,1 * f c * Ac f y


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

2.60 4.10 4.49

2.01

6.50

A$&

A$


A$

2.61 1.79 1.04

1.34

2.39


A$&

A$

3 2 1

2.75 4.36 4.75

2.01

6.76


4

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


4 4 4

3,8 3,8 3,8


4

3,8 3,8 3,8

4 6

4 6


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

127.79 225.52 235.63


122.55

  rec

L=

t=

A col

18 29 30

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

  rec

L=

t=

A col

9.62

15.00

13.00

195.00

COL#?NA C @ 2 N0EL An 3 2 1

93.44 165.42 174.00

  rec 14 22 23

2 1

56.21 41.77

2.25 0.64

15.00 15.00

13.00 13.00

195.00 195.00


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

224.63 233.14 241.65

B B B

390.00 390.00 390.00

B B B

195 195 195

30.00 30.00 30.00

30.00 30.00 30.00

13.00 13.00 13.00

390.00 390.00 390.00

COL#?NA 0NTER?E-0A

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

149.76 155.43 161.10

B B B

195.00 195.00 195.00

B B B

195 195 195

15 15 15

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

224.63 233.14 241.65

B B B

325.00 325.00 325.00

B B B

195 195 195

25.00 25.00 25.00

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



S3 =

N0EL 3 2

8.53 d 4



-m



1)

-m

S 2



S2 = S 4

5cm

7.50

0.64

 A( * f y

0,12* tn * f c

14.22

-m

 10cm

S4 =

10.00

-m

-m

4+ con)(nam ?a cm (ento 45.00 45.00

45.00 45.00

f 1,4 & 1 I 0D05J 5I 0D075J ( I 0D20 f 1,4 & 1 I 0D05J 5I 0D075 ( I 0D20

1

45.00

f 1,4 & 1 I 0D05J 5 I 0D075J ( I 0D20

45.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5.87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

3'D+

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 20.50

45.00 45.00 45.00

f 1,4 & 1 I 0D05J 4 I 0D10J ( I 0D20 f 1,4 & 1I 0D05J 4 I 0D10 J ( I 0D20 f 1,4 & 1 I 0D05J 4 I 0D10J ( I 0D20




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L

0.9 b 13

> 15

195

N0EL

T$

A$

3 2 1

8.91 9.25 9.59

2.36 2.45 2.54

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



" s f * f y



0,1* f c* Acs f y

-m2

Am(n 4 5mm 2 2 2

6M1*&c*Ac $/& 0.8125 0.8125 0.8125

O< O< O<



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, ,!)0

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% %!0, ,!)0

O< O< O<

L=

t=

A col

25.00 25.00 25.00

13.00 13.00 13.00

325.00 325.00 325.00

An 234 234 234

An 99 99 99

An 189.00 189.00 189.00

6M1*&c*Ac$/&  1'83 1'83 1'83

O< O< O<

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

6M1*&c*Ac$/&  1'3+ 1'3+ 1'3+

O< O< O<

D10J ( I 0D25 D10J ( I 0D25 D10J ( I 0D25


-ATOS



0.82


650 81 0.175 4.2 0.36 1.8 2.00 1.60 1.60 0.13


0.15 2.4

0.57

0.15 2.4

0.28

0.15

m m m

2.4

N0EL 3 2 1

"( 6'52 6'+D 6'25

? 2'64 +'+6 7'8D


N0EL 3 2 1

Pcm


PI tn;

1.23 2.47 3.70

0.06 0.22 0.38

1.25 tn 2.52 tn 3.80 tn

1.30 2.69 4.08


N0EL 3 2 1

Jm

K

JAm'

K

Jma'

6.24 12.93 19.63

A A A

93.83 93.83 93.83

A A A

97.5 97.5 97.5

O< O< O<


$e  0 , 55 * $m $m  0,5 * (m * a * t * * L  0,23 * #' 1 3



a



$e * L Me

1


1,3 0.33

A A

0.64

A A

1 1.00

0.64

0.64

2 1

0.33 0.33

A A

0.40 0.28

A A

N0EL 3 2 1

e

K

m

6M++*m

0.82 1.38 1.67

A A A

5.68 3.97 3.68

3.12 2.18 2.02

> de lad(illo =

8

1.00 1.00

N0EL 3 2 1

0.40

0.33


S=

19

-m



r min

0.0013

B

0.001

r min

$

0.0026

B

0.001

r min

$

0.0026

B

0.001

r min

$

A$% 1 1 1

0.40 0.33

-m

8 1.5 8 1.5 8 1.5 8

N0EL 3 2 1

A cm2 f 1,4 f 1,4 f 1,4

0.32 0.32 0.32

-m -m -m


$ m  $m  $d  S Ash * fs

donde &

 =

2.1

N0EL 3 2 1

e

K

Hm

6M++*Hm

0.82 1.38 1.67

A A A

11.34 9.63 9.34

6.24 5.30 5.14

fs 

fy 2

tn,-m2

N0EL 3 2 1

O O O

Hm

5.68

3.97

3.68


$m

M ui  M e

1

$ e 1

2

:onde & 2  $m

$m 1 $ e 1

A

2.21

A

N0EL

!(

?!(

3 2 1

1.80 3.06 3.68

4.51 12.15 21.36

1

$e 1

3

2.21

2.21



3


"#ER,A CORTANTE

$c

N0EL

c

3 2 1

2.84 1.99 1.84

TRACC0ON

"

1 ,5 *



)

L *  Nc



1

#c



 #cd

#t

* L

ton ton ton



#c

$m

)



1 2

#m * *





M

M

L

 #t

#m

a(a )io 1

:onde E =

4

* Lt

o

6 * t

L

Mui

) 

COL#?NA C @ 1 N0EL P 3 2 1

Pt

0.35 0.44 0.44

Pc

?

"

T

1.00 1.78 2.48

14.20 15.79 16.94

8.87 9.87 10.59

7.87 8.08 8.11

tn tn tn


P

Pt

Pc

?

"

T

3 2 1

1.18 1.45 1.45

2.67 2.67 2.67

4.50 5.46 6.16

14.20 15.79 16.94

8.87 9.87 10.59

4.38 4.41 4.43

CO?PRES0ON

"



#c



COL#?NA C @ 1 N0EL C 3 2 1


9.87 11.65 13.07

tn tn tn

3 2 1

13.37 15.33 16.74




$c f y *  *f

A s 0.85

A



A sf



A st



st



0 ,1 * f c * Ac f y

" f y * f

tn tn tn

tn tn tn



M L

0.8 1


COL#?NA C @ 1 N0EL A$t 3 2 1

A$&

A$

2.21 2.26 2.27

0.52

2.79


A$&

A$

3 2 1

1.23 1.23 1.24

0.52


4 4 4

3,8 3,8 3,8

Nº ar(lla$

A$ 0!,1 0!,1 0!,1

Nº ar(lla$

A$ 0!,1 0!,1 0!,1


1.76

4 4 4

3,8 3,8 3,8


o

0.75

C A

n



As

f




A s * f y

0 , 85 * d * f c 

(e-= 2 9

13

(e-= 2 L

COL#?NA C @ 1 N0EL An 3 2 1

42.90 62.21 61.29

  rec

L=

t=

A col

9 11 11

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00


  rec

3 2 1

118.46 141.70 140.78

17 20 20


Acf 

$c 0.2 * f c *f

 Ac  15t (cm2 )

0.85


Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

95.45 66.73 61.88

B B B

195.00 195.00 195.00

B B B

195 195 195

15 15 15

15.00 15.00 15.00

13.00 13.00 13.00

195.00 195.00 195.00

COL#?NA C @ 1

N0EL

Ac&



Ac&



1+t

%

L

t

Ac

3 2 1

95.45 66.73 61.88

B B B

260.00 260.00 260.00

B B B

195 195 195

20 20 20

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00


S 1



1,4

A( * )y 0 . 3 * tn * f c * ( Ac / An

S1 = S 3



5.87 d 4

S3 =



0.64



-m

S 2

1)



 A( * f y

0,12* tn * f c

S2 =

-m

S 4

5cm

-m

 10cm

S4 =

5.00

14.22

10.00

-m

-m


N0EL 3 2 1

20.50 20.50 22.50


45.00 45.00 45.00




 v ole(a=

3,8 1,2 5,8 3,4 1

$m *

Lm

A s

2 L



" s f * f y

0.9 b 15

> 15

225

-m2

N0EL

T$

A$

6M1*&c*Ac $/&

3 2 1

2.84 1.99 1.84

0.75 0.53 0.49

0.9375 0.9375 0.9375

Area

ar(lla$ 1º

ar(lla$ 2º

4

4

0.71 1.27 1.98 2.85 5.07



0,1* f c* Acs f y



2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

2.84 0.00 0.00 0.00 0.00 2.84

O<

O<

O<

 Mui

1 2

u)e(io(e& e *

$m $e

*$m* h

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

3,8 1,2 1,2

A$ 0!,1 1!2, 1!2,

A$ total 2!% 2!% 2!%

O< O< O<

L=

t=

A col

20.00 20.00 20.00

13.00 13.00 13.00

260.00 260.00 260.00

6M1*&c*Ac$/&  6'51 6'51 6'51

O< O< O<

An 99 99 99

An 144 144 144

D25 D25 D25

6M1*&c*Ac$/&  1'65 1'65 1'65

O< O< O<

,*)I- ) C,M,)+AC,-

8?C*/6=M=/:/# 6"("6=>"> (?*<":
&.15 @ &.5 2& ton  m2

2&&

)/ M)+"A- ) CA"GA*

(/8? >/ L?8"# (/8? >/ 8?C*/6"*"# (/8? >/ 8?C*/6"*"# "G?/ ME*?8# (/8? >/L 8?C*/6=M=/:
.(7 1.(5 &.5 2.&25 &.17 7.1

1

P)*- P"-P,- )/ C,M,)+-:

10I >/L (/8? ("*6="L (! 6=M=/:
1.(0 C

!

P)*- +-+A/:

A

&

2&

20 C

7.1

1.(0 b

 1!,) C 1!24 C

F

V

& & 

A 

#  #pzap 

 =

g

1(0&.& b

#





&.$5

t

!1 =

+ 

&.$$

#  #pzap 

t

C)M)+- ' F-"M,G-:

207337255-ALBANILERIA-CONFINADA.xlsx

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