prediseños irvin 06-06-15

7/23/2019 Prediseos Irvin 06-06-15

1/44

PREDISEO DE PLACA PLANA EN DOS DIRECCIONESLosa central (panel interior) sin vigas interiores ni abacos:

Para:4200 kgf/cm2

Panel interior con vigas de b

x y2 2 6.06 13

3 3 .0 13

4 4 12.12 1!

! ! 1!.1! 1"

6 6 1#.1# 1

" " 21.21 22

# # 24.24 2!

2".2" 30

10 10 30.30 32

fy$

hmin

x% y: &'ces de las losas en s'direcciones en metros

) /33=_ * +(_


2/44

rde:

#00 cm

cm

cm

cm

cm

cm

cm

cm

cm

cm

s res(ectivas

$


3/44

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa central con vigas peraltaas interiores:

&200 30 30 1"0

300 30 30 2"0

400 40 40 360

!00 40 40 460

600 4! 4! !!!

"00 4! 4! 6!!

#00 !0 !0 "!0

00 !0 !0 #!0

, !! !! 4!

!" Inercia e la viga peraltaa

- b 1"0 .2 3! 2! 20 1! 1! !! , ".! ,,, 4.4 ,,12934

2"0 14.6 40 2! 20 20 20 6! , ,,,,, !.6 ,,20444

360 1.! 40 2! 22 1# 1# 61 , .0 ,,, !.0 ,,20107

460 24. 4! 2! 22 23 23 "1 , ,,,,, 6.1 ,,30111

!!! 30.0 !0 2! 2! 2! 2! "! , ,,,,, 6.3 ,,42317

6!! 3!.4 60 30 2! 3! 3! 100 , ,,,,, #. ,,90288

"!0 40.! "0 3! 30 40 40 11! , ,,,,, , ,, 166536

#!0 4!. #0 40 3! 4! 4! 130 , ,,,,, , ,, 283185

4! !1.1 0 4! 40 !0 !0 14! , ,,,,, , ,, 452484

#" Inercia e la losa nervaa

b 1"0 20 10 30 ! 1! "0 ,, ".!

2"0 20 10 30 ! 1! "0 ,, ".!

360 22 10 30 ! 1" "0 ,, #.!

460 22 10 30 ! 1" "0 ,, #.!

!!! 2! 12 30 # 1" "2 ,, #.!

6!! 2! 12 3! # 1" #2 ,, #.!

"!0 30 1! 3! # 22 #! ,, ,

#!0 3! 1! 3! 10 2! #! ,, ,4! 40 1# 3! 10 30 ## ,, ,

$" Inercia e losa %aci&a e'ivalente

- b 1"0 10 30 ! 1! "0

2"0 10 30 ! 1! "0

360 10 30 ! 1" "0

460 10 30 ! 1" "0

!!! 12 30 # 1" "2

6!! 12 3! # 1" #2"!0 1! 3! # 22 #!

#!0 1! 3! 10 2! #!

" C*lclo e la l& libre (ln)

lc'lo de la l' libre ln+1 2 ln

ln hmin b5 h2 h1 2 1 2 1 7b c

9onde el valor de ; ; seobt'vo (or la ec'aci_ _ +/? +_

$? > _ + A2_

_=_

>$


4/44

4! 1# 3! 10 30 ##

+" Inercia e losa %aci&a e'ivalente

4200 B$

1"0 1"0 1"0 1"0 1"0 1"0 3." 3." 3."2"0 2"0 2"0 2"0 2"0 2"0 3."# 3."# 3."#

360 360 360 360 360 360 2.0 2.0 2.0

460 460 460 460 460 460 2.4! 2.4! 2.4!

!!! !!! !!! !!! !!! !!! 1."4 1."4 1."4

6!! 6!! 6!! 6!! 6!! 6!! 3.4! 3.4! 3.4!

"!0 "!0 "!0 "!0 "!0 "!0 2.#2 2.#2 2.#2

#!0 #!0 #!0 #!0 #!0 #!0 2.66 2.66 2.66

4! 4! 4! 4! 4! 4! 2.32 2.32 2.32

&CD: &osa sin vigas

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa e bore con vigas peraltaas interiores:

" Inercia e la viga peraltaa central

- b 1"0 .2 3! 2! 20 1! 1! !! , ".! ,,, 4.4 ,,12934

2"0 14.6 40 2! 20 20 20 6! , ,,,,, !.6 ,,20444

360 1.! 40 2! 22 1# 1# 61 , .0 ,,, !.0 ,,20107

460 24. 4! 2! 22 23 23 "1 , ,,,,, 6.1 ,,30111

!!! 30.0 !0 2! 2! 2! 2! "! , ,,,,, 6.3 ,,42317

6!! 3!.4 60 30 2! 3! 3! 100 , ,,,,, #. ,,90288

"!0 40.! "0 3! 30 40 40 11! , ,,,,, , ,, 166536

#!0 4!. #0 40 3! 4! 4! 130 , ,,,,, , ,, 283185

4! !1.1 0 4! 40 !0 !0 14! , ,,,,, , ,, 452484

!" Inercia e la viga peraltaa e bore

- b 1"0 .2 3! 2! 1! 20 1! 40 , ,,#"! 300 ,, 1. !.6

2"0 14.6 40 2! 20 20 20 4! , ,,,,,400 ,, 2. ".1

360 1.! 40 2! 22 22 22 4" , ,,,,,4#4 ,, 4.2 #.#

460 24. 4! 2! 22 22 22 4" , ,,,,,4#4 ,, 3.2 ".3!!! 30.0 !0 2! 2! 2! 2! !0 , ,,,,,62! ,, 4.2 #.3

6!! 3!.4 60 30 2! 2! 2! !! , ,,,,,62! ,, 1. !.6

"!0 40.! "0 3! 30 30 30 6! , ,,,,,00 ,, 2." ".3

#!0 4!. #0 40 31 3! 31 "1 , ,,,,, , ,, 2.2 6.3

4! !1.1 0 4! 32 40 32 "" , ,,,,, , ,, 1." !.3


b 1"0 20 10 30 ! 1! "0 ,, ".!

2"0 20 10 30 ! 1! "0 ,, ".!360 22 10 30 ! 1" "0 ,, #.!

460 22 10 30 ! 1" "0 ,, #.!

!!! 2! 12 30 # 1" "2 ,, #.!

fy$ kgf/cmE

&1 &2 &3 &4 &! &6 F1 F2 F3

ln hmin b5 h2 h1 2 1 2 1 7b c

ln hmin b5 h1 h2 1 2 G1 G2 1 2

9onde el valor de ;; seobt'vo (or la ec'aci_ _ +/? +_

>$


5/44

6!! 2! 12 3! # 1" #2 ,, #.!

"!0 30 1! 3! # 22 #! ,, ,

#!0 3! 1! 3! 10 2! #! ,, ,

4! 40 1# 3! 10 30 ## ,, ,


- b

20 10 30 ! 1!20 10 30 ! 1!

22 10 30 ! 1"

22 10 30 ! 1"

2! 12 30 # 1"

2! 12 3! # 1"

30 1! 3! # 22

3! 1! 3! 10 2!

40 1# 3! 10 30


4200 B$

1"0 1"0 1"0 1"0 1"0 6.!6 3." 3." 3."

2"0 2"0 2"0 2"0 2"0 6.4" 3."# 3."# 3."#

360 360 360 360 360 4.33 2.0 2.0 2.0

460 460 460 460 460 4.02 2.4! 2.4! 2.4!

!!! !!! !!! !!! !!! 2.! 1."4 1."4 1."4

6!! 6!! 6!! 6!! 6!! 4.!# 3.4! 3.4! 3.4!

"!0 "!0 "!0 "!0 "!0 3.#4 2.#2 2.#2 2.#2

#!0 #!0 #!0 #!0 #!0 3.!3 2.66 2.66 2.664! 4! 4! 4! 4! 3.03 2.32 2.32 2.32

&CD: &osa sin vigas

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa e es'ina con vigas peraltaas interiores:


- b 1"0 .2 3! 2! 20 1! 1! !! , ".! ,,, 4.4 ,,12934

2"0 14.6 40 2! 20 20 20 6! , ,,,,, !.6 ,,20444360 1.! 40 2! 22 1# 1# 61 , .0 ,,, !.0 ,,20107

460 24. 4! 2! 22 23 23 "1 , ,,,,, 6.1 ,,30111

!!! 30.0 !0 2! 2! 2! 2! "! , ,,,,, 6.3 ,,42317

6!! 3!.4 !! 30 2! 30 30 0 , ,,,,, ". ,,67084

"!0 40.! 60 30 30 30 30 0 , ,,,,, ".! ,,87750


- b

1"0 3! 2! 1! 20 1! 40 , ,,#"! 300 ,, 1. !.6

2"0 1! 40 2! 20 20 20 4! , ,,,,,400 ,, 2. ".1

360 1 40 2! 22 22 22 4" , ,,,,,4#4 ,, 4.2 #.#

460 2! 4! 2! 22 22 22 4" , ,,,,,4#4 ,, 3.2 ".3

b5 h1 h2

fy$ kgf/cmE

&1 &2 &4 &! &6 F1 F2 F3 F4

Dista en (lanta de sistema deentre (isos

ln hmin b5 h2 h1 2 1 2 1 7b c

ln hmin b5 h1 h2 1 2 G1 G2 1 2

$? > _ + A2_

_=_

>$


6/44

!!! 30 !0 2! 2! 2! 2! !0 , ,,,,,62! ,, 4.2 #.3

6!! 3! !! 30 2! 2! 2! !! , ,,,,,62! ,, 2." ".3

"!0 41 60 30 30 30 30 60 , ,,,,,00 ,, !.0 ,


b 1"0 20 10 30 ! 1! "0 ,, ".!2"0 20 10 30 ! 1! "0 ,, ".!

360 22 10 30 ! 1" "0 ,, #.!

460 22 10 30 ! 1" "0 ,, #.!

!!! 2! 12 30 # 1" "2 ,, #.!

6!! 2! 12 30 # 1" "2 ,, #.!

"!0 30 1! 30 10 20 "! ,, ,


- b20 10 30 ! 1!

20 10 30 ! 1!

22 10 30 ! 1"

22 10 30 ! 1"

2! 12 30 # 1"

2! 12 30 # 1"

30 1! 30 10 20


4200 B$

1"0 1"0 200 200 6.!6 6.!6 3.4 3.4 !.02

2"0 2"0 300 300 6.4" 6.4" 3.!# 3.!# !.02

360 360 400 400 4.33 4.33 1.# 1.# 3.16

460 460 !00 !00 4.02 4.02 2.3! 2.3! 3.1

!!! !!! 600 600 2.! 2.! 1.6" 1.6" 2.31

6!! 6!! "00 "00 3.44 3.44 2.26 2.26 2.#!"!0 "!0 #00 #00 2.30 2.30 1.32 1.32 1.#1

&CD: &osa sin vigas


$? > _ + A2_

_=_


7/44

.1

.4

.4

.1

.1

.8

5.1

1.2

7.3

, 3.0 ".0 14041.7

, 3.0 ".0 14041.7

, 3.6 ".4 18668.5

, 3.6 ".4 18668.5

, 3.3 .2 31523.5

, 3.0 .! 32725.6

, 4. ,,, 66926.8

, !.4 ,,,106302.1, ".6 ,,,181692.5

13.40

13.40

14."4

14."4

1".3#

16.#621.14

24.6"

8+ 9onde el valor de ; ;se obt'vo (or laec'aci _ + A2_


8/44

2.1!

1

h

3." 3." .0 aso c+ H3."# 3."# .0 aso c+ H2.0 2.0 .0 aso c+ H2.4! 2.4! 11.2 aso c+ H1."4 1."4 14.0 aso b+ H3.4! 3.4! 16.0 aso c+ H2.#2 2.#2 1#.3 aso c+ H2.66 2.66 20.# aso c+ H2.32 2.32 23.1 aso c+ H

eccin de Vigas (cm

.1

.4

.4

.1

.1

.8

5.1

1.2

7.3

111889.41

175238.10

207973.27

246674.67358072.92

598647.44

###

###

###

, 3.0 ".0 14041.7

, 3.0 ".0 14041.7, 3.6 ".4 18668.5

, 3.6 ".4 18668.5

, 3.3 .2 31523.5

F4 Ffm

8+ 9onde el valor de ; ;se obt'vo (or la

ec'aci


9/44

, 3.0 .! 32725.6

, 4. ,,, 66926.8

, !.4 ,,,106302.1

, ".6 ,,,181692.5

"0 13.40"0 13.40

"0 14."4

"0 14."4

"2 1".3#

#2 16.#6

#! 21.14

#! 24.6"

## 2.1!

1

h4.4 .0 aso c+ H4.4! .0 aso c+ H2.6! .0 aso c+ H2.#! 11.2 aso c+ H2.04 13.6 aso c+ H3."4 16.0 aso c+ H3.0# 1#.3 aso c+ H

2.## 20.# aso c+ H2.!0 23.1 aso c+ H

Variacin de resultados en envolventes

omentos JIomentos K ortantes LorsionesMobot 2013 !6#".61 1616.!" 40!.#2 1014.0#CGP 2000 !60.0! 1!13.36 4"02.#" 1.!6

N Dariaci _ + A2_


10/44

358072.92

493819.25

742500.00

, 3.0 ".0 14041.7, 3.0 ".0 14041.7

, 3.6 ".4 18668.5

, 3.6 ".4 18668.5

, 3.3 .2 31523.5

, 3.3 .2 31523.5

, 4.3 ,,, 64464.3

"0 13.40

"0 13.40

"0 14."4

"0 14."4

"2 1".3#

"2 1".3#

"! 21.""

1

h.0 aso c+ H.0 aso c+ H.0 aso c+ H11.2 aso c+ H13.6 aso c+ H16.0 aso c+ H1#." aso b+ H

2 1 7s cm8+

-equiv


11/44


12/44

(or la ec'aci


13/44


14/44


15/44

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa central con vigas planas interiores:

" Inercia e la viga plana

- b

130 ".0 20 40 20 0 0 40 , 0.0 10.0 0.0 , 26666

200 10.# ,, 40 , , ,,, , , ,,,,,,,, , #NAM

260 14.1 ,, 4! , , ,,, , , ,,,,,,,, , #NAM

330 1".# ,, 4! , , ,,, , , ,,,,,,,, , #NAM

400 21.6 ,, !0 , , ,,, , , ,,,,,,,, , #NAM

460 24. ,, !! , , ,,, , , ,,,,,,,, , #NAM

!30 2#.6 ,, 6! , , ,,, , , ,,,,,,,, , #NAM

!" Inercia e la losa nervaa

b 130 20 10 30 ! 1! "0 , ".!

200 , 10 30 ! ,,, "0 , ,,,

260 , 10 30 ! ,,, "0 , ,,,

330 , 10 30 ! ,,, "0 , ,,,

400 , 12 30 # ,,, "2 , ,,,

460 , 12 30 # ,,, "2 , ,,,

!30 , 1! 30 10 ,,, "! , ,,,

#" Inercia e losa %aci&a e'ivalente

- b20 10 30 ! 1!

,,, 10 30 ! ,,,

,,, 10 30 ! ,,,

,,, 10 30 ! ,,,

,,, 12 30 # ,,,

,,, 12 30 # ,,,

,,, 1! 30 10 ,,,


4200 B$

130 130 130 130 130 130 1.02 1.02 1.02

200 200 200 200 200 200 ,,,,,,,,,

260 260 260 260 260 260 ,,,,,,,,,

330 330 330 330 330 330 ,,,,,,,,,

400 400 400 400 400 400 ,,,,,,,,,

460 460 460 460 460 460 ,,,,,,,,,

!30 !30 !30 !30 !30 !30 ,,,,,,,,,

&CD: &osa sin vigas

ln hmin b5 h2 h1 2 1 2 1 7b cm


$? > _ + A2_

_=_

>$


16/44

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa e bore con vigas planas interiores:

" Inercia e la viga plana central

- b

130 ".0 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

200 10.# 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

260 14.1 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

330 1".# 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

400 21.6 40 !0 40 0 0 !0 , 0.0 20.0 0.0 , 26666

460 24. 4! !! 4! 0 0 !! , 0.0 22.! 0.0 , 41765

!30 2#.6 !0 6! !0 0 0 6! , 0.0 2!.0 0.0 , 67708


- b 130 " 3! 2! 0 3! 0 2! , ,, #"! 0 , 0.0 0.0

200 11 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

260 14 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

330 1# 4! 30 0 4! 0 30 , ,,,,, 0 , 0.0 0.0

400 22 !0 30 0 !0 0 30 , ,,,,, 0 , 0.0 0.0

460 2! !! 30 0 !! 0 30 , ,,,,, 0 , 0.0 0.0

!30 2 60 3! 0 60 0 3! , ,,,,, 0 , 0.0 0.0


b 130 2! 10 30 ! 20 "0 , ,,,

200 2! 10 30 ! 20 "0 , ,,,

260 3! 10 30 ! 30 "0 , ,,,

330 3! 10 30 ! 30 "0 , ,,,

400 40 12 30 # 32 "2 , ,,,

460 4! 12 30 # 3" "2 , ,,,

!30 !0 1! 30 10 40 "! , ,,,


- b2! 10 30 ! 20

2! 10 30 ! 20

3! 10 30 ! 30

3! 10 30 ! 30

40 12 30 # 32

4! 12 30 # 3"

!0 1! 30 10 40

entre (isos


ln hmin b5 h1 h2 1 2 G1 G2 1 2


$? > _ + A2_

_=_

>$


17/44


4200 B$

130 130 200 200 200 3.!3 0.#1 0.#1 0.#1

200 200 300 300 300 3.42 0.!3 0.!3 0.!3

260 260 400 400 400 0. 0.4" 0.4" 0.4"

330 330 !00 !00 !00 1.33 0.3" 0.3" 0.3"

400 400 600 600 600 0.## 0.30 0.30 0.30

460 460 "00 "00 "00 0."2 0.2 0.2 0.2

!30 !30 #00 #00 #00 0.61 0.26 0.26 0.26

&CD: &osa sin vigas

fy$ kgf/cmE

&1 &2 &4 &! &6 F1 F2 F3 F4



18/44



- b

130 ".0 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

200 10.# 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

260 14.1 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

330 1".# 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

400 21.6 40 !0 40 0 0 !0 , 0.0 20.0 0.0 , 26666

460 24. 4! !! 4! 0 0 !! , 0.0 22.! 0.0 , 41765

!30 2#.6 !0 6! !0 0 0 6! , 0.0 2!.0 0.0 , 67708


- b 130 " 3! 2! 0 3! 0 2! , ,, #"! 0 , 0.0 0.0

200 11 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

260 14 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

330 1# 4! 30 0 4! 0 30 , ,,,,, 0 , 0.0 0.0

400 22 !0 30 0 !0 0 30 , ,,,,, 0 , 0.0 0.0

460 2! !! 30 0 !! 0 30 , ,,,,, 0 , 0.0 0.0!30 2 60 3! 0 60 0 3! , ,,,,, 0 , 0.0 0.0


b 130 2! 10 30 ! 20 "0 , ,,,

200 2! 10 30 ! 20 "0 , ,,,

260 3! 10 30 ! 30 "0 , ,,,

330 3! 10 30 ! 30 "0 , ,,,

400 40 12 30 # 32 "2 , ,,,460 4! 12 30 # 3" "2 , ,,,

!30 !0 1! 30 10 40 "! , ,,,


- b2! 10 30 ! 20

2! 10 30 ! 20

3! 10 30 ! 30

3! 10 30 ! 30

40 12 30 # 324! 12 30 # 3"

!0 1! 30 10 40


ln hmin b5 h1 h2 1 2 G1 G2 1 2


$? > _ + A2_

_=_

>$


19/44


4200 B$

130 130 200 200 3.!3 3.!3 0.#1 0.#1 2.1"

200 200 300 300 3.42 3.42 0.!3 0.!3 1.#

260 260 400 400 0. 0. 0.4" 0.4" 0."3

330 330 !00 !00 1.33 1.33 0.3" 0.3" 0.#!

400 400 600 600 0.## 0.## 0.30 0.30 0.!

460 460 "00 "00 0."2 0."2 0.2 0.2 0.!0

!30 !30 #00 #00 0.61 0.61 0.26 0.26 0.43

&CD: &osa sin vigas

fy$ kgf/cmE

&1 &2 &! &6 F1 F2 F3 F4 Ffm



20/44

&.7 200 30 30 130 , 2!

E 300 30 30 , , 2!

E 400 40 40 , , 3!

E !00 40 40 , , 3!

E 600 4! 4! , , 40

E "00 4! 4! , , 4!

E #00 !0 !0 , , !0

&, 3.0 ".0 14041.7 200 30 30 130 "0 2!

, , ,,, #NAME 22! 30 30 , , 2!

, , ,,, #NAME 2!0 30 30 , , 3!

, , ,,, #NAME 2"! 30 30 , , 3!

, , ,,, #NAME 300 30 30 , , 40

, , ,,, #NAME 32! 30 30 , , 4!

, , ,,, #NAME 3!0 30 30 , , !0

3"! 30 30 , ,

400 40 40 , ,

42! 40 40 , ,"0 13.40 4!0 40 40 , ,

"0 ,,, 4"! 40 40 , ,

"0 ,,, !00 40 40 , ,

"0 ,,, !2! 40 40 , ,

"2 ,,, !!0 40 40 , ,

"2 ,,, !"! 40 40 , ,

"! ,,, 600 4! 4! , ,

62! 4! 4! , ,

1 6!0 4! 4! , ,

6"! 4! 4! , ,h "00 4! 4! , ,

1.02 1.02 13.0 aso b+ H "2! 4! 4! , ,,,,,,,,,,, ,, "!0 4! 4! , ,,,,,,,,,,, ,, ""! 4! 4! , ,,,,,,,,,,, ,, #00 !0 !0 , ,,,,,,,,,,, ,, #2! !0 !0 , ,,,,,,,,,,, ,, #!0 !0 !0 , ,,,,,,,,,,, ,, #"! !0 !0 , ,

00 !0 !0 , ,

2! !0 !0 , ,!0 !0 !0 , ,

"! !0 !0 , ,

lc'lo de la l' libre ln+

8+ 9onde el valor de ;;se obt'vo (or la

ec'aci _ + A2_


21/44

, !0 !0 , ,

eccin de Vigas (cm

9onde el valor de ;; se obt'v

.3

.3

.3

.3

.7

.3

.3

89322.92

133333.33

133333.33

227812.50

312500.00

415937.50

630000.00

, 4.! #.0 27282.2

, 4.! #.0 27282.2

, #.1 .4 72700.3

, #.1 .4 72700.3

, #.0 ,,,128000.0

, .# ,,,180656.8

, , ,,,294583.3

"0 16."2

"0 16."2

"0 23.1#

"0 23.1#

"2 2"."3

"2 31.11

"! 36.12

8+ 9onde el valor de ;;se obt'vo (or laec'aci


22/44

1

h1.4 13.0 aso b+ H1.26 13.0 aso b+ H0.60 13.0 aso b+ H0.61 13.0 aso b+ H0.44 13.0 aso b+ H0.40 13." aso b+ H0.3! 1!. aso b+ H

Ffm


23/44

.3

.3

.3

.3

.7

.3

.3

89322.92

133333.33

133333.33

227812.50

312500.00

415937.50630000.00

, 4.! #.0 27282.2

, 4.! #.0 27282.2

, #.1 .4 72700.3

, #.1 .4 72700.3

, #.0 ,,,128000.0, .# ,,,180656.8

, , ,,,294583.3

"0 16."2

"0 16."2

"0 23.1#

"0 23.1#

"2 2"."3"2 31.11

"! 36.12


ec'aci _ + A2_


24/44

1

h.0 aso c+ H13.0 aso b+ H13.0 aso b+ H13.0 aso b+ H13.0 aso b+ H13.! aso b+ H1!." aso b+ H


25/44


26/44

(or la ec'aci


27/44


28/44


29/44


30/44

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa central con vigas planas interiores:

" Inercia e la viga plana

- b

1"0 .2 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

2"0 14.6 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

360 1.! 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

460 24. 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

!!! 30.0 40 !0 40 0 0 !0 , 0.0 20.0 0.0 , 26666

6!! 3!.4 4! !! 4! 0 0 !! , 0.0 22.! 0.0 , 41765

"!0 40.! !0 6! !0 0 0 6! , 0.0 2!.0 0.0 , 67708

!" Inercia e la losa nervaa

b 1"0 2! 10 30 ! 20 "0 , ,,,2"0 2! 10 30 ! 20 "0 , ,,,

360 3! 10 30 ! 30 "0 , ,,,

460 3! 10 30 ! 30 "0 , ,,,

!!! 40 12 30 # 32 "2 , ,,,

6!! 4! 12 30 # 3" "2 , ,,,

"!0 !0 1! 30 10 40 "! , ,,,

#" Inercia e losa %aci&a e'ivalente

- b2! 10 30 ! 20

2! 10 30 ! 20

3! 10 30 ! 30

3! 10 30 ! 30

40 12 30 # 32

4! 12 30 # 3"

!0 1! 30 10 40


4200 B$

1"0 1"0 1"0 1"0 1"0 1"0 0." 0." 0."

2"0 2"0 2"0 2"0 2"0 2"0 0.4 0.4 0.4

360 360 360 360 360 360 0.43 0.43 0.43

460 460 460 460 460 460 0.34 0.34 0.34

!!! !!! !!! !!! !!! !!! 0.2" 0.2" 0.2"

6!! 6!! 6!! 6!! 6!! 6!! 0.2! 0.2! 0.2!

"!0 "!0 "!0 "!0 "!0 "!0 0.23 0.23 0.23

&CD: &osa sin vigas



$? > _ + A2_

_=_

>$


31/44

PREDISEO DE LOSA NERVADA EN DOS DIRECCIONESLosa e bore con vigas planas interiores:

" Inercia e la viga plana central

- b

1"0 .2 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

2"0 14.6 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

360 1.! 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

460 24. 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

!!! 30.0 40 !0 40 0 0 !0 , 0.0 20.0 0.0 , 26666

6!! 3!.4 4! !! 4! 0 0 !! , 0.0 22.! 0.0 , 41765

"!0 40.! !0 6! !0 0 0 6! , 0.0 2!.0 0.0 , 67708


- b

1"0 3! 2! 0 3! 0 2! , ,, #"! 0 , 0.0 0.0

2"0 1! 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

360 1 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

460 2! 4! 30 0 4! 0 30 , ,,,,, 0 , 0.0 0.0

!!! 30 !0 30 0 !0 0 30 , ,,,,, 0 , 0.0 0.0

6!! 3! !! 30 0 !! 0 30 , ,,,,, 0 , 0.0 0.0

"!0 41 60 3! 0 60 0 3! , ,,,,, 0 , 0.0 0.0


b 1"0 2! 10 30 ! 20 "0 , ,,,

2"0 2! 10 30 ! 20 "0 , ,,,

360 3! 10 30 ! 30 "0 , ,,,

460 3! 10 30 ! 30 "0 , ,,,

!!! 40 12 30 # 32 "2 , ,,,

6!! 4! 12 30 # 3" "2 , ,,,

"!0 !0 1! 30 10 40 "! , ,,,


- b2! 10 30 ! 20

2! 10 30 ! 20

3! 10 30 ! 30

3! 10 30 ! 30

40 12 30 # 32

4! 12 30 # 3"

!0 1! 30 10 40

entre (isos

ln hmin b5 h2 h12 1

2 1 7b cm

ln hmin b5 h1 h2 1 2 G1 G2 1 2


$? > _ + A2_

_=_

>$


32/44


4200 B$

1"0 1"0 1"0 1"0 1"0 2."0 0." 0." 0."

2"0 2"0 2"0 2"0 2"0 2.!3 0.4 0.4 0.4

360 360 360 360 360 0."1 0.43 0.43 0.43

460 460 460 460 460 0.! 0.34 0.34 0.34

!!! !!! !!! !!! !!! 0.63 0.2" 0.2" 0.2"

6!! 6!! 6!! 6!! 6!! 0.!1 0.2! 0.2! 0.2!

"!0 "!0 "!0 "!0 "!0 0.43 0.23 0.23 0.23

&CD: &osa sin vigas

fy$ kgf/cmE

&1 &2 &4 &! &6 F1 F2 F3 F4



33/44



- b

1"0 .2 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

2"0 14.6 2! 40 2! 0 0 40 , 0.0 12.! 0.0 , 52083

360 1.! 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

460 24. 3! 4! 3! 0 0 4! , 0.0 1".! 0.0 , 16078

!!! 30.0 40 !0 40 0 0 !0 , 0.0 20.0 0.0 , 26666

6!! 3!.4 4! !! 4! 0 0 !! , 0.0 22.! 0.0 , 41765

"!0 40.! !0 6! !0 0 0 6! , 0.0 2!.0 0.0 , 67708


- b

1"0 3! 2! 0 3! 0 2! , ,, #"! 0 , 0.0 0.0

2"0 1! 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

360 1 40 2! 0 40 0 2! , ,,,,, 0 , 0.0 0.0

460 2! 4! 30 0 4! 0 30 , ,,,,, 0 , 0.0 0.0

!!! 30 !0 30 0 !0 0 30 , ,,,,, 0 , 0.0 0.0

6!! 3! !! 30 0 !! 0 30 , ,,,,, 0 , 0.0 0.0"!0 41 60 3! 0 60 0 3! , ,,,,, 0 , 0.0 0.0


b 1"0 2! 10 30 ! 20 "0 , ,,,

2"0 2! 10 30 ! 20 "0 , ,,,

360 3! 10 30 ! 30 "0 , ,,,

460 3! 10 30 ! 30 "0 , ,,,

!!! 40 12 30 # 32 "2 , ,,,6!! 4! 12 30 # 3" "2 , ,,,

"!0 !0 1! 30 10 40 "! , ,,,


- b2! 10 30 ! 20

2! 10 30 ! 20

3! 10 30 ! 30

3! 10 30 ! 30

40 12 30 # 324! 12 30 # 3"

!0 1! 30 10 40


ln hmin b5 h1 h2 1 2 G1 G2 1 2


$? > _ + A2_

_=_

>$


34/44


4200 B$

1"0 1"0 200 200 2."0 2."0 0."2 0."2 1."1

2"0 2"0 300 300 2.!3 2.!3 0.4" 0.4" 1.!0

360 360 400 400 0."1 0."1 0.41 0.41 0.!6

460 460 !00 !00 0.! 0.! 0.32 0.32 0.64

!!! !!! 600 600 0.63 0.63 0.26 0.26 0.4!

6!! 6!! "00 "00 0.!1 0.!1 0.2! 0.2! 0.3#

"!0 "!0 #00 #00 0.43 0.43 0.22 0.22 0.33

&CD: &osa sin vigas

fy$ kgf/cmE

&1 &2 &! &6 F1 F2 F3 F4 Ffm



35/44

.3

.3

.3

.3

.7

.3

.3

, 4.! #.0 27282.2

, 4.! #.0 27282.2

, #.1 .4 72700.3

, #.1 .4 72700.3

, #.0 ,,,128000.0

, .# ,,,180656.8

, , ,,,294583.3

"0 16."2

"0 16."2

"0 23.1#

"0 23.1#

"2 2"."3

"2 31.11

"! 36.12

1

h0." 0." 13.0 aso b+ H0.4 0.4 13.0 aso b+ H0.43 0.43 13.0 aso b+ H0.34 0.34 13.# aso b+ H0.2" 0.2" 16.# aso b+ H0.2! 0.2! 1. aso b+ H0.23 0.23 22.# aso b+ H


ec'aci _ + A2_


36/44

eccin de Vigas (cm

9onde el valor de ;; se obt'v

.3

.3

.3

.3

.7

.3

.3

89322.92

133333.33

133333.33

227812.50

312500.00

415937.50

630000.00

, 4.! #.0 27282.2

, 4.! #.0 27282.2

, #.1 .4 72700.3

, #.1 .4 72700.3

, #.0 ,,,128000.0

, .# ,,,180656.8

, , ,,,294583.3

"0 16."2

"0 16."2

"0 23.1#

"0 23.1#

"2 2"."3

"2 31.11

"! 36.12

8+9onde el valor de ;;

se obt'vo (or laec'aci


37/44

1

h1.26 13.0 aso b+ H1.00 13.0 aso b+ H0.!0 13.0 aso b+ H0.4 13.! aso b+ H0.36 16.6 aso b+ H0.32 1." aso b+ H0.2# 22." aso b+ H

Ffm


38/44

.3

.3

.3

.3

.7

.3

.3

89322.92

133333.33

133333.33

227812.50

312500.00

415937.50630000.00

, 4.! #.0 27282.2

, 4.! #.0 27282.2

, #.1 .4 72700.3

, #.1 .4 72700.3

, #.0 ,,,128000.0, .# ,,,180656.8

, , ,,,294583.3

"0 16."2

"0 16."2

"0 23.1#

"0 23.1#

"2 2"."3"2 31.11

"! 36.12


ec'aci _ + A2_


39/44

1

h13.0 aso b+ H13.0 aso b+ H13.0 aso b+ H13.2 aso b+ H16.4 aso b+ H1.! aso b+ H22.! aso b+ H


40/44


41/44

(or la ec'aci


42/44


43/44


44/44

prediseños irvin 06-06-15

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