Diseño de Losa Aligerada

LOSAS ALIGERADAS - METRADO DE CARGAS

-

DISEÑO LOSA ALIGERADA UNIDI METRADO DE CARGAS SECCIÓN TÍPICA DE LOSA ALIGERADA

Datos: AT AT = 40 t =5 c H = 17 b = 10

Acero Negativo Negativo Acero de Temperatura

40 cm

f'c = 21 21

5 cm

f= 42

12 cm

!/c = 20 " = 0#$ 0#$ & = 0# 0# (iam# A! = 1#2 recubr# = 2#5

Acero %o!itivo 10 cm

SENTIDO DE LAS VIGUETAS

A

B

C

6

PA ÑO 01

PA Ñ

PAÑO 02

5

PA ÑO 04

PAÑO 05

4

PAÑO

PA Ñ

4


PAÑO 07

3

PA ÑO 08

PAÑO 09

PA Ñ

PA ÑO 11

PAÑO 12

PA Ñ

2

1

A

B

C

PREDIMENSIONAMIENTO DE LOSA ALIGERADA (UNIDIRECCIONAL)

A

B

C

LOSAS ALIGERADAS - METRADO DE CARGAS PREDIMENSIONAMIENTO DE LOSA ALIGERADA (UNIDIRECCIONAL) NOTA: +,-o +,-o !e .a coid coiderad erado o ua ua peue peuea a fraa fraa de 0#40 0#40 m )ac.o )ac.o tribu tributario tario para e- di!eo di!eo de de -a! -a! vigu vigu -a -u3 m! corta perteeciete a- tramo A6 cua -ogitud e! de 2#$0 m#

1. PRIMER NIVEL TRAMO A-B cho tributario

VIGA EJE 1-1

0.40 m

ELEMENTOS P.NITARIO ANC!O TR TRIB. PESO"#$%m& 0.40 m L'() L'() A*+ A*+$, $,) )) ) "!/ "!/17 17 280 280 $%m $%m 112.00 CARGA 0.40 m T)+,+) T)+,+) E+)*,, 210 $%m 84.00 MERTA 0.40 m A))'( 100 $%m 40.00 0.40 m C+,*' R)(' 50 $%m9 20.00 256.00 TOTAL TOT AL CARGA VIVA

ELEMENTOS V++,) S%C

C)$) M,) C)$) V+)

CM CV

P.NITARIO ANC!O TR TRIB. PESO"#$%m& 0.40 m 200 $%m 80.00 TOTAL TOT AL 80.00

256.00 80.00

CARGA LTIMA

: /

494.40 Kg/

2. SEGUNDO NIVEL VIGA EJE 1-1

TRAMO A-B cho tributario

0.40 m

ELEMENTOS P.NITARIO ANC!O TR TRIB. PESO"#$%m& 0.40 m L'() L'() A*+ A*+$, $,) )) ) "!/ "!/17 17 280 280 $%m $%m 112.00 CARGA 0.40 m T)+,+) T)+,+) E+)*,, 210 $%m 84.00 MERTA 0.40 m A))'( 100 $%m 40.00 0.40 m C+,*' R)(' 50 $%m9 20.00 256.00 TOTAL TOT AL CARGA VIVA

C)$) M,) C)$) V+)

ELEMENTOS V++,) S%C

CM CV

P.NITARIO ANC!O TR TRIB. PESO"#$%m& 0.40 m 200 $%m 80.00 80.00 TOTAL TOT AL

256.00 80.00

CARGA LTIMA

: /

494.40 Kg/

3. TERCER NIVEL VIGA EJE 1-1

TRAMO A-B cho tributario

0.40 m

ELEMENTOS P.NITARIO ANC!O TR TRIB. PESO"#$%m& 0.40 m L'() L'() A*+ A*+$, $,) )) ) "!/ "!/17 17 280 280 $%m $%m 112.00 CARGA 0.40 m T)+,+) T)+,+) E+)*,, 0 $%m 0.00 MERTA 0.40 m A))'( 0 $%m 0.00 0.40 m C+,*' R)(' 50 $%m9 20.00 1!2.00 TOTAL TOT AL CARGA

ELEMENTOS

P.NITARIO ANC!O TR TRIB. PESO"#$%m&

LOSAS ALIGERADAS - METRADO DE CARGAS VIVA V++,) S%C 100 $%m

C)$) M,) C)$) V+)

CM CV

132.00 40.00

0.40 m

40.00

TOTAL TOT AL

40.00

CARGA LTIMA

: /

252.80 Kg/


-

ECCIONAL m m m Kg/cm² 0 Kg/cm² Kg/m²

cm )& 1/2''* cm

D

C

6

PAÑO 03

PAÑO 02

5

PAÑO 05

PAÑO 06

4

PAÑO 07

4


-

PAÑO 07

3

PAÑO 09

PAÑO 10

2

PAÑO 12

PAÑO 13

1

C

O DE LOSA CIONAL)

D

C

D

LOSAS ALIGERADAS - METRADO DE CARGAS O DE LOSA CIONAL)

ta! de todo! -o! pao! o -o!a!# +e e-igi,

-

LOSAS ALIGERADAS - MOMENTOS NEGATIVOS ; POSITIVOS "ACI&ING. CIVIL - CONCRETO ARMADO I

MOMENTOS NEGATIVOS  POSITIVO SECCIÓN TÍPICA DE LOSA ALIGERADA

Datos: AT = t= H= b=

Acero Negativo Acero de Temperatura

40 cm

f'c =

5 cm

f=

12 cm

!/c = "= &=


(iam# A! = recubr# =

AN!LISIS ESTRUCTURAL %odemo! efectuar e- a-i!i! e!tructura- por -o! mEtodo! coocido! a !ea de apro9imaci, !uce!iva o m mEtodo de- AF !iempre  cuado cump-a co -a! codicioe! para !u u!o# a*# 8ue e9i!ta do! o m! c-aro! cotiguo!# :9i!te 0; tramo!< Tramo A6 tramo 6  tramo 6(#

CUMPLE

b*# arga! uiforme! repartida!#

CUMPLE

c*# >o! e-emeto! !o pri!mtico!#

CUMPLE

d*# >u3 ?aor/>u3 ?eor @ 1#20

CUMPLE

A





2#$0 m

2#$; m

1."1

;#;$ m

1.1# CUMPLE

e*# ;m B v %rimer Nivem = v = +egudo Nivem = v = Tercer Nivem = v =

COE$ICIENTES ACI

25C Kg/m $0 Kg/m

DDD

;m = 7C$ Kg/m

B

v = $0 Kg/m

25C Kg/m $0 Kg/m

DDD

;m = 7C$ Kg/m

B

v = $0 Kg/m

1;2 Kg/m 40 Kg/m

DDD

;m = ;C Kg/m

B

v = 40 Kg/m

LOSAS ALIGERADAS - MOMENTOS NEGATIVOS ; POSITIVOS "ACI&ING. CIVIL - CONCRETO ARMADO I A





1%2&

1%1"

1%1"

1%11

1%1'

1%11

DIMENSIONES EUIVALENTES 2." *

2.2 *

2." *

3.11 *

2.3 *

3.3 *

C!LCULO DE MOMENTOS NEGATIVOS  POSITIVOS (M + ,-(L/2)%0) PRIMER NIVEL (ato<

,- + &#&.&" %*

MOMENTOS NEGATIVOS EN LOS APOOS MA + M4 + MC + MD +

,-(L/2)%0) ,-(L/2)%0) ,-(L/2)%0) ,-(L/2)%0)

DDD DDD DDD DDD

? A = ? = ? = ?( =

1C1#50 Kgm ;1#77 Kgm 47C#C5 Kgm 2;5#;4 Kgm

MOMENTOS POSITIVOS E MA4 + ,-(L/2)%0) M4C + ,-(L/2)%0) MCD + ,-(L/2)%0)

LOSAS ALIGERADAS - MOMENTOS NEGATIVOS ; POSITIVOS "ACI&ING. CIVIL - CONCRETO ARMADO I SEGUNDO NIVEL ,- + &#&.&" %*

(ato<


,-(L/2)%0) ,-(L/2)%0) ,-(L/2)%0) ,-(L/2)%0)

DDD DDD DDD DDD

? A = ? = ? = ?( =

1C1#50 Kgm ;1#77 Kgm 47C#C5 Kgm 2;5#;4 Kgm


TERCER NIVEL (ato<

,- + 252." %*


,-(L/2)%0) ,-(L/2)%0) ,-(L/2)%0) ,-(L/2)%0)

DDD DDD DDD DDD

? A = ? = ? = ?( =

$2#5$ Kgm 200#;2 Kgm 24;#7; Kgm 120#;4 Kgm



(ACI) 40 cm 5 cm 17 cm 10 cm 210 Kg/cm² 4200 Kg/cm² 200 Kg/m² 0#$5 0# 1#27 cm )& 1/2''* 2#5 cm

atricia- pudiedo tambiE u!ar e-

(

LOSAS ALIGERADAS - MOMENTOS NEGATIVOS ; POSITIVOS "ACI&ING. CIVIL - CONCRETO ARMADO I (

1%2&

3.3 *

LOS APOOS DDD DDD DDD

? A6 = ;52#;7 Kgm ?6 = 247#4$ Kgm ?6( = 51;#47 Kgm



? A6 = ;52#;7 Kgm ?6 = 247#4$ Kgm ?6( = 51;#47 Kgm


? A6 = 1$0#1$ Kgm ?6 = 12C#54 Kgm ?6( = 2C2#55 Kgm

LOSAS ALIGERADAS - C
ING. CIVIL - CONCRETO ARMADO I

C!LCULO DEL !REA DE ACERO SECCIÓN TÍPICA DE LOSA ALIGERADA

Datos: AT = t= H= b=

Acero Negativo Acero de Temperatura

40 cm

f'c =

5 cm

f=

12 cm

!/c = "= &=


(iam# A! = recubr# =

PÓRTICO 11 U067a78s: Mo*80tos: *. U067a78s: Lo06t-7: *

1 A

1 4 2.51

1 C

2"".32& 1".199

1'1.5"&

2&3.925 12'.5&1

3#1.99& 352.392

1'1.5"&

&9'.'52 2&9.&95

3#1.99& 352.392

2#$0 m

PRIMER NIVEL U067a78s: Mo*80tos: *. U067a78s: Lo06t-7: *

&9'.'52 2&9.&95

2#$; m

1 A


1 4

1'1.5"&

1 C

3#1.99&

&9'.'52

352.392

2&9.&95

2#$0 m

2#$; m

I. DETERMINACIÓN DE LOS ACEROS NEGATIVOS  POSITIVOS (EN ONA DE TRACCIÓN) 1.1 As APOO A Mo*80to N8at6;o 80 A* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 0#;4 cm² A! = 0#;2 cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 0#$1 cm

a + ".95 >*

".32 >*

D8s60a>6F0 78@ 7a*8t?o 78@ A>8?o N8at6;o: Teiedo -o !iguiete< As  As*0. Co0s678?a*os:

As + ".&' >*



C-a0ta 78 A>8?o 80 T?a>>6F0: A!

1H3%



As + ".91 >*

(ELEGIDO)


bd

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD

(CON$ORME) (CON$ORME)

 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.2 As APOO 4 Mo*80to N8at6;o 80 A* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 0#$; cm² A! = 0#$0 cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#5 cm

a + 1.# >*

"." >*

D8s60a>6F0 78@ 7a*8t?o 78@ A>8?o N8at6;o: Teiedo -o !iguiete< As  As*0. Co0s678?a*os:

As + "." >*



1H1%2



As + 1.29 >*

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""#2

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD

 = 0#002 M m9 0#015  = 0#002 D m =0#00;;

1.3 As APOO C Mo*80to N8at6;o 80 A

(ELEGIDO)


() MC + &9''5.23 >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

%ara< LaL icia-< a = d/5 A! = 1#01 cm² A! = 0# cm²

As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 2#;$ cm

a + 2.3& >*

".## >*


As + ".## >*



1H1%2



As + 1.29 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""#2

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#002 M m9 0#015  = 0#002 D m =0#00;;

1.& As APOO D Mo*80to N8at6;o 80 A* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

DDD

b =

0#021;


ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$ DDD

mi = 14/f*

DDD



As

mi = 0#00;; 

As

DDD ma9 = 0#015

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

%ara< LaL icia-< a = d/5 A! = 0#50 cm² A! = 0#47 cm²

As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#17 cm

a + 1.1" >*

".&9 >*


As + ".&9 >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.5 As TRAMO A4 Mo*80to Pos6t6;o 80 T?a*o A4: () MA4 + 35239.2& >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

A!  f 0#$5  fIc  b

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

As

+


DDD DDD DDD

a = 2#77 cm a = 1#7C cm

a + 1.'# >*

".92 >*


As + ".92 >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.' As TRAMO 4C Mo*80to Pos6t6;o 80 T?a*o 4C: () M4C + 2&9&9.5" >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD



As

mi = 0#00;; 

As

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 0#52 cm² A! = 0#4 cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

".&# >*


0#021;

DDD ma9 = 0#015

DDD mi = 14/f*

b =

a = 2#77 cm a = 1#2; cm

a + 1.1' >*

As + ".&# >*




1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.9 As TRAMO CD Mo*80to Pos6t6;o 80 T?a*o CD: () MCD + 513&9.&# >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 1#0 cm² A! = 1#0$ cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 2#5C cm

a + 2.5& >*

1." >*


As + 1." >*



C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""#2

1H1%2



As + 1.29 >*

(ELEGIDO)


R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#002 M m9 0#015  = 0#002 D m =0#00;;

II. RESUMEN DEL As = DI!METROS ELEGIDOS As EN LOS APOOS  As + 0#71 cm²  As + 1#27 cm²  As + 1#27 cm²  As + 0#71 cm² A

DDD

1&;/$L

B

DDD

1&1/2L

C

DDD

1&1/2L

D

DDD

1&;/$L

A-B

DDD

1&;/$L

B-C

DDD

1&;/$L

C-D

DDD

1&1/2L

As EN LOS TRAMOS  As + 0#71 cm²  As + 0#71 cm²  As + 1#27 cm²

SEGUNDO NIVEL U067a78s: Mo*80tos: *. U067a78s: Lo06t-7: *

1 A

1 4

1'1.5"&

1 C

3#1.99&

&9'.'52

352.392

2&9.&95

2#$0 m

2#$; m


DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

DDD

b =

0#021;


ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$ DDD

mi = 14/f*

DDD



As

mi = 0#00;; 

As

DDD ma9 = 0#015

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

%ara< LaL icia-< a = d/5 A! = 0#;4 cm² A! = 0#;2 cm²

As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 0#$1 cm

a + ".95 >*

".32 >*


As + ".&' >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;


DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

A!  f 0#$5  fIc  b

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

As

+


DDD DDD DDD

a = 2#77 cm a = 1#5 cm

a + 1.# >*

"." >*


As + "." >*



1H1%2



As + 1.29 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""#2

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#002 M m9 0#015  = 0#002 D m =0#00;;

1.3 As APOO C Mo*80to N8at6;o 80 A* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD



As

mi = 0#00;; 

As

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 1#01 cm² A! = 0# cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

".## >*


0#021;

DDD ma9 = 0#015

DDD mi = 14/f*

b =

a = 2#77 cm a = 2#;$ cm

a + 2.3& >*

As + ".## >*




1H1%2



As + 1.29 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""#2

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#002 M m9 0#015  = 0#002 D m =0#00;;


DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*


As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#17 cm

a + 1.1" >*

".&9 >*


As + ".&9 >*



C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

1H3%



As + ".91 >*

(ELEGIDO)


R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.5 As TRAMO A4 Mo*80to Pos6t6;o 80 T?a*o A4: () MA4 + 35239.2& >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*


As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#7C cm

a + 1.'# >*

".92 >*


As + ".92 >*



1H3%



As + ".91 >*

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD

 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.' As TRAMO 4C Mo*80to Pos6t6;o 80 T?a*o 4C: () M4C + 2&9&9.5" >*


(ELEGIDO)


P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=


As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#2; cm

a + 1.1' >*

".&# >*


As + ".&# >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.9 As TRAMO CD Mo*80to Pos6t6;o 80 T?a*o CD: () MCD + 513&9.&# >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

ma9 = 0#75b

DDD DDD

b

= 0#021;

ma9 = 0#015

DDD

b =

0#021;

DDD ma9 = 0#015



As

DDD


mi = 0#002$ DDD

mi = 14/f*

DDD

mi = 0#00;; 

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

%ara< LaL icia-< a = d/5 A! = 1#0 cm² A! = 1#0$ cm²

As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 2#5C cm

a + 2.5& >*

1." >*


As + 1." >*



1H1%2



As + 1.29 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""#2

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#002 M m9 0#015  = 0#002 D m =0#00;;


DDD

1&;/$L

B

DDD

1&1/2L

C

DDD

1&1/2L

D

DDD

1&;/$L

A-B

DDD

1&;/$L

B-C

DDD

1&;/$L

C-D

DDD

1&1/2L


TERCER NIVEL U067a78s: Mo*80tos: *. U067a78s: Lo06t-7: *

1

1

1

As

A


4

2.51

C

2"".32&

2&3.925

1".199

12'.5&1

2#$0 m

2#$; m


DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 0#1$ cm² A! = 0#1C cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 0#41 cm

a + ".3 >*

".1' >*


As + ".&' >*



C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

1H3%



As + ".91 >*

(ELEGIDO)


R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;


DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*


As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#00 cm

a + ".#3 >*

".&" >*


As + ".&' >*



1H3%



As + ".91 >*

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD

 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.3 As APOO C Mo*80to N8at6;o 80 A*


(ELEGIDO)


P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=


As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 1#22 cm

a + 1.1& >*

".&# >*


As + ".&# >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;


DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

ma9 = 0#75b

DDD DDD

b

= 0#021;

ma9 = 0#015

DDD

b =

0#021;

DDD ma9 = 0#015



As

DDD


mi = 0#002$ DDD

mi = 14/f*

DDD

mi = 0#00;; 

As

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*



a=

%ara< LaL icia-< a = d/5 A! = 0#2C cm² A! = 0#2; cm²

As

+

A!  f 0#$5  fIc  b

DDD DDD DDD

a = 2#77 cm a = 0#C0 cm

a + ".55 >*

".23 >*


As + ".&' >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.5 As TRAMO A4 Mo*80to Pos6t6;o 80 T?a*o A4: () MA4 + 1"19.95 >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD



As

mi = 0#00;; 

As

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! = %ara< LaL icia-<

?u &  f  )d6a/2* a = d/5



a= DDD

0#021;

DDD ma9 = 0#015

DDD mi = 14/f*

b =

A!  f 0#$5  fIc  b a = 2#77 cm

= = =

0#;$ cm² 0#;C cm² 0#;5 cm²

As

+

".35 >*


DDD DDD DDD

a = 0#0 cm a = 0#$4 cm

a + ".3 >*


As + ".&' >*



1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.' As TRAMO 4C Mo*80to Pos6t6;o 80 T?a*o 4C: () M4C + 12'5&."' >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

f)C000Gf*

DDD

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD



As

mi = 0#00;; 

As

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*


As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD

".25 >*


0#021;

DDD ma9 = 0#015

DDD mi = 14/f*

b =

a = 2#77 cm a = 0#C; cm

a + ".5 >*

LOSAS ALIGERADAS - C*




1H3%



As + ".91 >*

(ELEGIDO)

C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

J+

DDD

".""51

R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;

1.9 As TRAMO CD Mo*80to Pos6t6;o 80 T?a*o CD: () MCD + 2'255.35 >* P8?a@t8 88>t6;o 606>6a@ (;a@o?8s as-*67os): d = H 6 )r + φ As /2

DDD

d=

1;#$7 cm

CB@>-@o 78 >-a0tas:

b

=

!1 0#$5f'c)C000*

DDD

f)C000Gf*

b

= 0#021;

ma9 = 0#75b

DDD

ma9 = 0#015

mi = 0#$0))fIcJ0#5*/f*

DDD

mi = 0#002$

DDD

DDD

0#021;



As

mi = 0#00;; 

As

DDD ma9 = 0#015

DDD mi = 14/f*

b =

mi = 0#00;;

CB@>-@o 78 As 606>6a@: A! =

?u &  f  )d6a/2*

%ara< LaL icia-< a = d/5 A! = 0#5C cm² A! = 0#5; cm² A! = 0#52 cm²

As

+



a=

A!  f 0#$5  fIc  b

DDD DDD DDD DDD

a = 2#77 cm a = 1#;1 cm a = 1#24 cm

a + 1.23 >*

".52 >*


As + ".52 >*



C-a0ta 78 A>8?o 80 T?a>>6F0: =

A! bd

DDD

J+

".""51

1H3%



As + ".91 >*

(ELEGIDO)


R8-6s6tos 78 C-a0ta:  M m9  D m

DDD DDD


 = 0#0051 M m9 0#015  = 0#0051 D m =0#00;;


DDD

1&;/$L

B

DDD

1&;/$L

C

DDD

1&;/$L

D

DDD

1&;/$L

A-B

DDD

1&;/$L

B-C

DDD

1&;/$L

C-D

DDD

1&;/$L


40 cm 5 cm 17 cm 10 cm 210 Kg/cm² 4200 Kg/cm² 200 Kg/m² 0#$5 0# 1#27 cm )& 1/2''* 2#5 cm

1 D 12".339 '2.553

235.3&3 13.&95

235.3&3 13.&95

;#;$ m


1 D

235.3&3 13.&95

;#;$ m

BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


>*

0 + ".&'

>*

BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


1 D

235.3&3 13.&95

;#;$ m


>*

0 + ".&'

>*

BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*

BK + 2.21

>*


>*

1


D

12".339 '2.553

;#;$ m

BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*

BK + 2.21

>*


>*

BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


BK + 2.21

>*

0 + ".&'

>*


Diseño de Losa Aligerada

Recommend Documents