1° escalonado ..viguetas

8/16/2019 1° ESCALONADO ..VIGUETAS

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UNIVERSIDAD NACIONAL DE JAENINGENIERIA CIVIL

TEMA : ESTRUCTURACION DETECHO

Alumno : CHASQUERO MARTINEZ, Jenry

DOCENTE : ing. OLANO UZMAN !u"nAl#er$o

CURSO : ESTRUCTURAS DE

CONCRETO ARMADO

CICLO : %II

&ECHA : '()*+)'*-.

ESTRUCTURAS DE CONCRETO ARMADO Página

JAEN-PERU


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INDICE

CONTENIDO PAG.

PRESENTACION…………………………………………...……03

OBJETIVOS………………………………………………………04

PREDIMENSIONAMIENTO....……………………………….…05

METRADO DE VIGUETAS………..…….……………………..09

CALCULO DE MOMENTOS..……………..…….……………..18

CALCULO DE ACREO…………….……………..……………..23

CONCLUSIONES………………………….…………….…..….63

RECOMENDACIONES…………….…………………….…..…64



3/80


PRESENTACION

Es !" #$%&'()'* +( *s'&!,'!&(,#-) " *+ *'&(% * ,(&/(s *)

*##,(,#%)*s "( !* /&(,#(s ( *s% )%s%'&%s $%*%s

$&*#*)s#%)(& +%s *+**)'%s *s'&!,'!&(+*s " ,%)%,*& !* ,(&/(s

( ( (,'!(& *) *++(s $(&( (,*& !* +(s *##,(,#%)*s &*s#s'() (

+(s ,(&/(s ( +( !* *s'(& s%*'#( (*s !* *s'(s

,(&/(s !* s* () *'&(% *s') ($+##,((s $%& ,#*&'%s

(,'%&*s $&%$%&,#%)(%s $%& *+ &*/+(*)'% )(,#%)(+ *

*##,(,#%)*s.

(7+(& * #s*% * !)( *s'&!,'!&( *s !) '*( !* $&*'*)*

*s(&&%++(& ,($(,#(*s *) +%s *s'!#()'*s * +( ,(&&*&( *

#)/*)#*&( ,##+ "( !* s%%s )%s%'&%s ( !#*)*s ,%&&*s$%)*

*s'&!,'!&(,#-) " #s*% * !)( *##,(,#-) $(&( *++% '*)*%s

!* *& '%(s +(s ,(&/(s !* *) +( *s'&!,'!&( (,':() " *

!; ()*&( +% (,*) $(&( $%*& ,%+%,(& +( ,()'#(

)*,*s(( * (,*&% *) !)( *'*&#)(( s*,,#-).

Es'* '&(7(


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OBJETIVOS

GENERALES

+%/&(& *+ *'&(% * ,(&/(s * +(s #/!*'(s * !) '*,% $(&( !)(

*##,(,#-) * '&*s )#*+*s.

R*(+#=(& *+ ,+,!+% * %*)'%s *) '%(s +( #/!*'(s *>#s'*)'*s

*) *+ '*,% * +( *##,(,#-) *) *s'!#%.

R*(+#=(& *+ ,+,!+% * (,*&% $(&( ,(( '#$% * #/!*'(.

ESPECIFICOS

R*(+#=(& *+ ,+,!+% * (,*&% " ,%$(&(& "?% *#,(& ,%) +(s

,!()'(s )#(s " >#(s $(&( *'*&#)(& !* +( ,()'#( *

(,*&% *) +( s*,,#-) s*( +( ,%&&*,'(.

R*$&*s*)'(& /&#,(*)'* *#()'* !) $+()% +( ,%+%,(,#-) *+

(,*&% *) ,(( '#$% * #/!*'( (*s ,%) s! &*s$*,'#(s

*#(s.



5/80


REDIMENSIONAMIENTO

REDIMENSIONAMIENTO DE LOSA

USO DEL PROYECTO = VIVIENDA

SOBRECARGA = 250 Kg/m2

ALTURA TOTAL ⇒ h = L

25

L = Luz lib! "l# $#%& luz lib! '! (&'&) l&) *+(i,&) !) ./ $1

h= L25

h=4.55m

25

h=0.182m

h=0.20m



6/80


REDIMENSIONAMIENTO DE /IAS RINCIALES

L = Luz lib! "l# $#%& luz lib! '! (&'&) l&) *+(i,&) !) ./ $1

h= L

11

h=4.38m

11

h=0.398m

h=0.40m

An01o 2e l" %ig"3 4rin0i4"le3

b= L

20 L=anchotributario

E *+(i,& '! !3! 2 - 2

b=2.4m

20

b=0.12m ⇒ S!4 RNE bmin=0.25m

E *+(i,& '! !3! / - /

b=3.55m

20

b=0.18m ⇒ S!4 RNE bmin=0.25m

E *+(i,& '! !3! -



7/80


b=2.5m

20

b=0.13

m⇒

Según RNE bmin=0.25

m

E *+(i,& '! !3! 5 - 5

b=2.68m

20

b=0.13m⇒Según RNE bmin=0.25m

E *+(i,& '! !3! 6 - 6

b=3.03m

20

b=0.15m ⇒ S!4 RNE bmin=0.25m

E *+(i,& '! !3! 7 - 7

b=2.5m

20

b=0.13m ⇒ S!4 RNE bmin=0.25m


P& l& (#(& ,u$*li!'& ,& l#) &$#) '!l RNE l# b#)! '!

(&'#) l#) 8i4#) *i,i*#l!) )!9 '! *.'- m


8/80

0.25 $

0.0 $


L" 3e00i5n 2e l"3 %ig"3 4rin0i4"le3 3er6: *.'- m 7 *.(* m

REDIMENSIONAMIENTO DE /IAS 3e0un2"ri"3

L = Luz lib! "l# $#%& luz lib! '! (&'&) l&) *+(i,&) !) .55 $1

h= L

14

h=4.55m14

h=0.33m

h=0.35m

An01o 2e l" %ig"3 3e0un2"ri"3

b=h

2

E *+(i,& '! !3! A - A

b=0.35m

2

b=0.175m ⇒ S!4 RNE bmin=0.25m



9/80


L" 3e00i5n 2e l"3 %ig"3 4rin0i4"le3 3er6: *.'- m 7 *.8- m

Me$r"2o

METRADO DE LOSA

Vigueta tipo 1

RIMER 9 SEUNDO ISOl&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0.

= 0 Kg/ml

(#bi 0.0 = :00 Kg/ml

W = 1.4 C.M + 1 .7C.V = (-* Kg!"

0"rg" 4un$u"l. muro 0. 2. 0.:5 :00 = 25?.2 kg

AZOTEA

l&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0.

= 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml


P& l& (#(& ,u$*li!'& ,& l#) &$#) '!l RNE l# b#)! '!

(&'#) l#) 8i4#) *i,i*#l!) )!9 '! *.'- m

0.25 $

0./5


10/80


W = 1.4 C.M + 1 .7C.V = '+' Kg!"

SEGUNDO @ TERCER PISO

wu= 259.2

wu= 450

AOTEA

wu= 292

Vigueta tipo 2

RIMER 9 SEUNDO ISO

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml(#bi 0.0 = :00 Kg/ml

W 1 = 1.4 C.M + 1 .7C.V = (-* Kg!"

RIMER 9 SEUNDO ISO

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml(#bi :00 Kg/ml



11/80


12/80


wu= 292

Vigueta tipo 3

RIMER 9 SEUNDO ISO

l&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0. = 0 Kg/ml

(#bi0.0 =

:00 Kg/ml

W = 1.4 C.M + 1 .

7C.V = (-* Kg!" 0"rg" 4un$u"l

. muro 0. 2. 0.:5 :00 = 25?.2 kg

AZOTEA

l&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0.

= 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml

W = 1.4 C.M + 1 .7C.V = '+' Kg!"




13/80


wu= 450

wu= 259.2 wu= 259.2 wu= 259.2

AOTEA

wu= 292

Vigueta tipo

RIMER 9 SEUNDO ISO

l&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0.

= 0 Kg/ml

(#bi0.0 =

:00 Kg/ml

W1 = 1.4 C.M +

1 .7C.V =(-* Kg!"

0"rg" 4un$u"l. muro 0. 2. 0.:5 :00 = 25?.2 kg

l&)# /00 0. = :20 Kg/ml,i!l& ;*i)&

:00 0. = 0 Kg/ml

(#b#


14/80


.% =250 > 0.0=

:00 Kg/ml

W # = 1.4 C.M + 1 .7C.V

=8-;.' Kg!"

AZOTEA

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml

W = 1.4 C.M + 1 .7C.V = '+' Kg!"


wu= 450 wu= 450

wu= 259.2wu= 259.2wu= 259.2

wu= 1357.2

AOTEA

wu= 292

Vigueta tipo !

RIMER 9 SEUNDO ISO

l&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0.

= 0 Kg/ml

(#b#


15/80


.m 200 Kg/ml

.% =250 >0.0 =

:00 Kg/ml

W = 1.4 C.M + 1 .7C.V =

(-* Kg!"

0"rg" 4un$u"l

. muro 0. 2. 0.:5 :00 = 25?.2 kg

AZOTEA

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml

W = 1.4 C.M + 1 .7C.V = '+' Kg!"


wu= 450

wu= 259.2

AOTEA

wu= 292

Vigueta tipo "

RIMER 9 SEUNDO ISOl&)# /00 0. :20 Kg/ml



16/80


=

,i!l& ; *i)& :00 0.

= 0 Kg/ml

(#b#0.0 =

:00 Kg/ml

W = 1.4 C.M + 1 .

7C.V =(-* Kg!"

0"rg" 4un$u"l

. muro 0. 2. 0.:5 :00 = 25?.2 kg

AZOTEA

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml

W = 1.4 C.M + 1 .7C.V = '+' Kg!"


wu= 450

wu= 259.2 wu= 259.2 wu= 259.2

A@OTEA

wu= 292

Vigueta tipo #



17/80


18/80


wu= 292

Vigueta tipo $

RIMER 9 SEUNDO ISO

l&)# /00 0.

= :20 Kg/ml

,i!l& ; *i)& :00 0. = 0 Kg/ml

(#b#0.0 =

:00 Kg/ml

W = 1.4 C.M + 1 .7C.V = (-* Kg!"

AZOTEA

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml

W = 1.4 C.M + 1 .7C.V = '+' Kg!"



19/80


/IUETA TI.O <

wu= 450/IUETATI.O<

wu= 292

Vigueta tipo %

AZOTEA

l&)# /00 0. = :20 Kg/ml,i!l& ; *i)& :00 0. = 0 Kg/ml

.m :60 Kg/ml

.% =:00 > 0.0 = 0 Kg/ml

W = 1.4 C.M + 1 .7C.V = '+' Kg!"

wu= 292

CALCULO DE MOMENTOS EN /IUETAS

/IUETA TIO



20/80


VIGUETA DE : Y 2 NIVEL

VIGUETA DE A@OTEA

/IUETA TIO '


VIGUETA DE A@OTEA

/IUETA TIO 8VIGUETA DE : Y 2 NIVEL



21/80


VIGUETA DE A@OTEA

/IUETA TIO (


VIGUETA DE A@OTEA

/IUETA TIO -



22/80



VIGUETA DE A@OTEA

/IUETA TIO =


VIGUETA DE A@OTEA



23/80


/IUETA TIO ;


VIGUETA DE A@OTEA



24/80


/IUETA TIO <


A@OTEA

/IUETA TIO +

A@OTEA



25/80

0.20 $


CALCULO DE ACERO EN /IUETAS

CALCULO DE >2?

D = h – r -1

2∅

D = 0.20 m – 0.02 m -

1

2 (( 58 )2.54)m

D = $.17 !

D = 17 %!


0.:0 $

0.:0 $

h '

1/2∅


26/80

&ORMULAS A UTILIZAR

a=

f y

∗ As

0.85∗f ´ c∗b

AS= M U

0.9∗f y∗(d−a/2)

DATOS GENERALES

f y=4200 Kg/cm2

f ´ c=210 Kg /cm2

d=17 cm

b=10cm

/IUETA TIO ITr"mo I

: % 2 i8!l

M u=1458.60 Kg. m

!# '! #,!&

2.52 2.75 2.0 2.2 2.2

" ,$ 5.?/ 6.7 6.60 6.6/ 6.6/Cu#(#

= 0.0:6

⍴max =

0.0:5?

cm2


27/80

⍴min =0.000

A3 '.


28/80

M u=731.13 Kg. m

:.26 :.25 :.25

" ,$ 2.?7 2.?/ 2.?/Cu#(#

= 0.007/

⍴max =

0.0:5?

⍴min =0.000

A3 .'- 0m' @ ∅ F

Az&(!#

M u=132.81 Kg .m

A3 ,$2 0.2/ 0.2: 0.2:

" ,$ 0.5 0.? 0.?

= 0.00:2

⍴max =

0.0:5?

⍴min =0.000

A3 *.' 0m'

@ ∅

H

cm2


29/80

ASUMO @ ∅ /

Tr"mo '

! (#$& 2 !l $&$!(& !) $u% *!


30/80

= 0.00:7

⍴max =

0.0:5?

⍴min =0.000

A3 *.'+ 0m' @ ∅ )(?

ASUMO @

∅

/

A4oyo '

: % 2 i8!l

M u=−616.14 Kg. m

A3 ,$2 :.07 :.0 :.0/ :.0/ :.0/

" ,$ 2.5: 2. 2./ 2./ 2./

= 0.006:

⍴max =

0.0:5?

⍴min =

0.000


31/80

A3 .*8 0m' @ ∅ )'?

Az&(!#

M u=−193.80 Kg . m

A3 ,$2 0./ 0./: 0./: 0./: 0./:

" ,$ 0.7? 0.7/ 0.7/ 0.7/ 0.7/

= 0.00:

⍴max =

0.0:5?

⍴min =0.000

A3 *.8( 0m' @ ∅ 8)


32/80

" ,$ :./ :.26 :.25 :.25 :.25

= 0.00/:

⍴max =

0.0:5?

⍴min =0.000

A3 *.-8 0m' @ ∅ 8)


33/80

A4oyo (

: % 2 i8!l

M u=162.56 Kg. m

A3 ,$2 0.2 0.26 0.26 0.26 0.26

" ,$ 0.66 0.6: 0.6: 0.6: 0.6:

= 0.00:5

⍴max =

0.0:5?

⍴min =0.000

A3 *.'= 0m' @ ∅ )(?

ASUMO @ ∅ /

Az&(!#

M u=105.49 Kg. m

A3 ,$2 0.: 0.:7 0.:7 0.:7 0.:7

" ,$ 0./ 0./? 0./? 0./? 0./?


34/80

= 0.00:0

⍴max =

0.0:5?

⍴min =0.000

A3 *.; 0m' @ ∅ )(?

ASUMO @

∅

/

/IUETA TIO 8

Tr"mo

: % 2 i8!l

M u=1022.08 Kg. m

A3 ,$2 :.77 :.: :.2 :.2 :.2

" ,$ .:6 .26 .2 .2 .2

= 0.0:07

⍴max =

0.0:5?


35/80

⍴min =0.000

A3 .


36/80


37/80

⍴min =0.000

A3 *.= 0m' @ ∅ )(?

ASUMO @ ∅ /

Tr"mo (

: % 2 i8!l

M u=245.90 Kg. m

A3 ,$2 0. 0.: 0.:

" C$ :.0 0.?6 0.?6

= 0.002

⍴max =

0.0:5?

⍴min =0.000

A3 *.( 0m' @ ∅ 8)


38/80

= 0.000

⍴max =

0.0:5?

⍴min =0.000

A3 *.8 0m' @ ∅ )(?

ASUMO @

∅

/

Tr"mo -

: % 2 i8!l

M u=259.78 Kg. m

A3 ,$2 0.5 0.2 0.2

" C$ :.06 0.? 0.?

= 0.002

⍴max =

0.0:5?


39/80

⍴min =0.000

A3 *.= 0m' @ ∅ 8)


40/80


41/80

A4oyo 8

: % 2 i8!l

M u= Kg .m

A3 ,$2 0.6: 0.5 0.57 0.57

" ,$ :. :./5 :./5 :./5

= 0.00/

⍴max =

0.0:5?

⍴min =0.000

A3 *.-; 0m' @ ∅ 8)


42/80

= 0.00:6

⍴max =

0.0:5?

⍴min =0.000

A3 *.'; 0m' @ ∅ )(?

ASUMO @

∅

/

A4oyo (

: % 2 i8!l

M u=354.36 Kg. m

A3 ,$2 0.6: 0.5 0.57 0.57

" ,$ :. :./5 :./5 :./5

= 0.00/

⍴max =

0.0:5?


43/80

⍴min =0.000

A3 *.-; 0m' @ ∅ 8)


44/80

: % 2 i8!l

M u=452.84 Kg .m

A3 ,$2 0.7 0.75 0.7 0.7" ,$ :. :.75 :.75 :.75

= 0.00

⍴max = 0.0:5?

⍴min =0.000

A3 *.;( 0m' @ ∅ )'?

Az&(!#

M u=261.34 Kg . m

A3 ,$2 0.5 0.2 0.2

" ,$ :.06 0.?? 0.??

= 0.0025

⍴max =

0.0:5?

⍴min =0.000

A3 *.(' 0m' @ ∅ 8)


45/80

A4oyo=

: % 2 i8!l

M u=162.56 Kg. m

A3 ,$2 0.2 0.26 0.26

" ,$ 0.66 0.6: 0.6:

= 0.00:5

⍴max =

0.0:5?

⍴min =0.000

A3 *.'= 0m' @ ∅ )(?

ASUMO @ ∅ /

Az&(!#

M u=105.48 Kg. m


46/80

A3 ,$2 0.: 0.:7 0.:7

" ,$ 0./ 0./? 0./?

= 0.00:0

⍴max =

0.0:5?

⍴min =

0.000

A3 *.; 0m' @ ∅ )(?

ASUMO @ ∅ /

/IUETA TIO (

Tr"mo

: % 2 i8!l

M u=953.54 Kg . m

A3 ,$2 :.65 :.67 :.6 :.6

" ,$ /. /.? /.?5 /.?5

= 0.00??

⍴max =

0.0:5?


47/80

⍴min =0.000

A3 .=< 0m' @ ∅ -)


48/80

M u=36.93 Kg.m

A3 ,$2 0.06 0.06 0.06

" ,$ 0.:5 0.: 0.:

= 0.000/

⍴max =

0.0:5?

⍴min =0.000

A3 *.*8 0m' @ ASUMO @ ∅ /

Az&(!#

M u=39.06 Kg.m

A3 ,$2 0.07 0.06 0.06

A ,$ 0.:6 0.: 0.:

= 0.000

⍴max =

0.0:5?

⍴min =

0.000

C&$& l# ,u#(# '! l#)!,,i+ !) $!&


49/80


50/80

A ,$ 2.27 2.: 2.:

= 0.005

⍴max =

0.0:5?

⍴min =0.000

A3 *.+8 0m' @ ∅ )'?

/IUETA TIO -

Tr"mo

: % 2 i8!l

M u=341.62 Kg . m

A3 ,$2 0.5? 0.55 0.55

A ,$ :./? :./0 :./0

= 0.00//


51/80

⍴max =

0.0:5?

⍴min =0.000

A3 *.-- 0m' @ ∅ 8)


52/80

: % 2 i8!l

M u=237.85 Kg.m

A3 ,$2 0.: 0./ 0./ 0./" ,$ 0.?7 0.?0 0.? 0.?

= 0.0022

⍴max = 0.0:5?

⍴min =0.000

A3 *.8< 0m' @ ∅ 8)


53/80

ASUMO @ ∅ /

A4oyo

: % 2 i8!l

M u=119.90 Kg . m

A3 ,$2 0.2: 0.:? 0.:? 0.:?

" ,$ 0.? 0.5 0. 0.

= 0.00::

⍴max =

0.0:5?

⍴min =0.000

A3 *.+ 0m' @ ∅ )(?

ASUMO @ ∅ /

Az&(!#

M u=77.80 Kg.m


54/80

A3 ,$2 0.:/ 0.:2 0.:2

" ,$ 0./2 0.2? 0.2?

= 0.0007

⍴max =

0.0:5?

⍴min =

0.000

A3 *.' 0m' @ ASUMO @ ∅ /

A4oyo '

: % 2 i8!l

M u=504.01 Kg .m

A3 ,$2 0.7 0./ 0./

" ,$ 2.05 :.?6 :.?6

= 0.00?

C&$& l# ,u#(# '! l#

)!,,i+ !) $!&


55/80

⍴max =

0.0:5?

⍴min =0.000

A3 *.


56/80

M u=162.56 Kg. m

A3 ,$2 0.2 0.26 0.26

" ,$ 0.66 0.6: 0.6:

= 0.00:5

⍴max =

0.0:5?

⍴min =0.000

A3 *.'= 0m' @ ∅ )(?

ASUMO @ ∅ /

Az&(!#

M u=105.49 Kg. m

A3 ,$2 0.: 0.:7 0.:7

" ,$ 0./ 0./? 0./?

= 0.00:0

⍴max =

0.0:5?

⍴min =

0.000


57/80

A3 *.; 0m' @ ∅ )(?

ASUMO @ ∅ /

/IUETA TIO =Tr"mo

: % 2 i8!l

M u=1016.20 Kg. m

A3 ,$2 :.76 :.0 :.: :.:

" ,$ .:/ .2 .25 .25

= 0.0:06

⍴max =

0.0:5?

⍴min =0.000

A3 .


58/80

M u=505.43 Kg. m

A3 ,$2 0.7 0. 0./ 0./" ,$ 2.06 :.?7 :.?6 :.?6

= 0.00?

⍴max = 0.0:5?

⍴min =0.000

A3 *.


59/80


60/80

: % 2 i8!l

M u=884.44 Kg . m

A3 ,$2 :.5/ :.5 :.5" ,$ /.60 /.62 /.62

= 0.000

⍴max = 0.0:5?

⍴min =0.000

A3 .-( 0m' @ ∅ -)


61/80

A3 *.8* 0m' @ ∅ )(?

ASUMO @ ∅ /

A4oyo '

: % 2 i8!l

M u=1126.87 Kg .m

A3 ,$2 :.?5 2.0/ 2.0 2.0

" ,$ .5 .77 .0 .0

= 0.0:20

⍴max =

0.0:5?

⍴min =0.000

A3 '.*( 0m' @ ∅ 8)(?

Az&(!#

M u=549.97 Kg. m

A3 ,$2 0.?5 0.?2 0.?: 0.?:

" ,$ 2.2 2.:6 2.:5 2.:5


62/80

= 0.005

⍴max =

0.0:5?

⍴min =0.000

A3 *.+ 0m' @ ∅ )'?

A4oyo '

E !l #*&%& 2 !l $&$!(& !) $u% *!


63/80

⍴min =0.000

A3 '.* 0m' @ ∅ 8)(?

Az&(!#

M u=248.63 Kg.m

A3 ,$2 0./ 0.0 0.0

" ,$ :.0: 0.? 0.?

= 0.002/

⍴max =

0.0:5?

⍴min =0.000

A3 *.(* 0m' @ ∅ 8)


64/80

: % 2 i8!l

M u=1022.20 Kg. m

A3 ,$2 :.77 :.: :.2 :.2" ,$ .:6 .26 .2 .2

= 0.0:07

⍴max = 0.0:5?

⍴min =0.000

A3 .


65/80

Tr"mo '

E !l #*&%& 2 !l $&$!(& !) $u% *!


66/80

= 0.00:0

⍴max =

0.0:5?

⍴min =0.000

A3 *.; 0m' @ ∅ )(?

ASUMO @ ∅ /

Tr"mo (

: % 2 i8!l

M u=238.67 Kg .m

,$2 0.: 0./ 0./

,$ 0.?7 0.?0 0.?0

= 0.0022

⍴max =

0.0:5?

⍴

min =0.000


67/80

A3 *.8< 0m' @ ∅ 8)


68/80

A3 ,$2 0.5 0.5 0.5 0.5

" ,$ :./6 :.2 :.27 :.27

= 0.00/2

⍴max =

0.0:5?

⍴min =

0.000

A3 *.-( 0m' @ ∅ 8)


69/80

A4oyo '

: % 2 i8!l

M u=1081.20 Kg. m

= 0.0::

⍴max =

0.0:5?

⍴min =0.000

A3 .+( 0m' @ ∅ -)


70/80

= 0.005/

⍴max =

0.0:5?

⍴min =0.000

A3 *.+ 0m' @ ∅ )'?

A4oyo(

: % 2 i8!l

M u=343.79 Kg. m

A3 ,$2 0.5? 0.56 0.56

" ,$ :.0 :./: :./:

= 0.00//

⍴max =

0.0:5?

⍴min =0.000

A3 *.-= 0m'

@ ∅

8)


71/80

Az&(!#

M u=174.79 Kg. m

A3 ,$2 0./0 0.2 0.2

" ,$ 0.7: 0.65 0.65

= 0.00:6

⍴max =

0.0:5?

⍴min =

0.000

A3 *.'< 0m' @ ∅ )(?

ASUMO @ ∅ /

A4oyo -

: % 2 i8!l

M u=494.08 Kg . m

A3 ,$2 0.5 0.2 0.: 0.:

" ,$ 2.0: :.?2 :.?2 :.?2


72/80

= 0.00

⍴max =

0.0:5?

⍴min =0.000

A3 *.


73/80

/IUETA TIO <Tr"mo

: % 2 i8!l

M u=24.11 Kg .m

A3 ,$2 0.0 0.0 0.0

" ,$ 0.:0 0.0? 0.0?

= 0.0002

⍴max =

0.0:5?

⍴min =0.000

A3 *.(= 0m' @ ∅ 8)


74/80

⍴max =

0.0:5?

⍴min =0.000

A3 *.(= 0m' @ ∅ 8)


75/80

Az&(!#

M u=20.17 Kg .m

A3 ,$2 0.0/ 0.0/ 0.0/" ,$ 0.0 0.07 0.07

= 0.0002

⍴max = 0.0:5?

⍴min =0.000

A3 *.(= 0m' @ ∅ 8)


76/80

= 0.000/

⍴max =

0.0:5?

⍴min =0.000

A3 *.(= 0m' @ ∅ 8)


77/80

/IUETA TIO +

Tr"mo

Az&(!#

M u=306.97 Kg.m

A3 ,$2 0.5/ 0.50 0.? 0.?

" ,$ :.25 :.:7 :.:6 :.:6

= 0.002?

⍴max =

0.0:5?

⍴min =0.000

A3 *.(= 0m' @ ∅ 8)


78/80

CALCULO DE LONITUDES DE ACEROS

EN LA VIGUETA TIPO 1

C%% *s !)( #/!*'( ,%) 2 ($%"%s

P(&( As )*/('#%

L=0.20 (4.55 )=0.91=0.95m

P(&( As $%s#'#%

L=0.14 (4.55 )=0.63=0.65m


79/80

CONCLUSIONES

A+ #)(+#=(& *+ $&*s*)'* #)%&* s* ,%),+!"* +% s#/!#*)'*

S* +%/&- (,*& *+ *'&(% * +(s #/!*'(s * !)( *##,(,#-) *

'&*s )#*+*s +% ,!(+ s*&#& $(&( &*(+#=(& *+ ()+#s#s *s'&!,'!&(+ *+

'*,% * +( *##,(,#-) *s *s'!#%.

s* ( +%/&(% &*(+#=(& +( #*(+#=(,#-) * +%s *+**)'%s

*s'&!,'!&(+*s '(+*s ,%% #/!*'(s $(&( $%*& &*$&*s*)'(& *) *++(

+(s ,(&/(s (,'!()'*s !* s* () ,(+,!+(%.

C%) +( ("!( * !) s%'(&* s* ( *,% *+ ,+,!+% * +%s

%*)'%s $&*s*)'*s *) +%s #s'#)'%s '#$%s * #/!*'(s $(&( +!*/%

(,*& *+ ,+,!+% *+ (,*&% !* )*,*s#'(&( ,(( #/!*'(.

S* ( &*$&*s*)'(% *) *+ $+()% * '*,% +(s *#(s * +%s

(,*&%s " (*s *+ #*'&% * ,(( !)% * *++%s.

D! !)! $&'& )! !#liz## !l ,9l,ul& '! l#)l&4i(u'!) '! (&'&) l&) #,!&)


80/80

RECOMENDACIONES

C%) +( #)(+#( * ,%)'!#& ( +( *

1° escalonado ..viguetas

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