Concreto Armado 1

123456 4

0.20

0.39

0. 58

0. 78

0. 98

1.18

5

0.31

0.61

0. 91

1. 23

1. 53

1.84

6

0.44

0.88

1. 32

1. 77

2. 21

2.65

7

0.60

1.20

1. 80

2. 41

3. 01

3.61

8

0.79

1.57

2. 35

3. 14

3. 93

4.71

9

1.00

2.00

3. 00

4. 00

5. 00

6.00

10 11

1.27 1.56

2.53 3.12

3. 79 4. 68

5. 06 6. 25

6. 33 7. 81

7.59 9.37

14

2.25

4.50

6. 75

9. 00

11. 25

13. 50

18

4.00

8.00

12.00

6. 00

20. 00

24. 00

3

8

3

8

2.35

2. 35

7

8

9

10

11

12

1. 37

1. 57

1.77

1.96

2. 16

2. 36

2. 15

2. 45

2.76

3.07

3. 37

3. 68

3. 09

3. 53

3.98

4.42

4. 86

5. 30

4. 21

4. 81

5.41

6.01

6. 61

7. 22

5. 50

6. 28

7.07

7.85

8. 64

9. 43

7. 00

8. 00

9.00

10. 00

11.00

12.00

8. 86 10.94

10.12 12.50

11. 39 14. 06

12. 66 15. 62

13.92 17.19

15.19 18.75

15.75

18.00

20. 25

22. 50

24.75

27.00

28.00

32.00

36. 00

40. 00

44.00

48.00

SECCION NO FISURADA b

d h 3

8

Datos b

= Es=

10

2900 0000

=h Ec=

r=

25 3604996.533

n=

2 8

=d p=

23 0. 0102

A =s fr=

2. 35 474.34

Calculo dl C! d la scc"on transfor#ada

1=(−1)∗=

16.45

1==

=(1∗1+2∗2)/(1+2)=

=ℎ −=

13.15

Calculo dl C! d la scc"on transfor#ada

2=∗ℎ=

2 11.85

250

2=ℎ/2=

12. 5

fc=

4000

f$=

600 00

%=

5 40000

DA&'( ) =b

10

=h

25

fy =

60000

f=r

7.5∗√=

=r

Es = 29000000

474.34

d=

2

Ec =

23

57000∗√ =3604996.53

As =

n=

8

2.35

fc=

=0.0102 p/(∗) =

Ec = 0.003

SECCION NO FISURADA ! "RI#ER A$RIE%A#IEN%O &I'

Calculo dl C! d la scc"on transfor#ada

(((−1)∗)∗+(∗ℎ)∗(ℎ/2))/((−1)∗+∗ℎ)= _=ℎ−=

11.85

13.15

*nrc"a scc"on trasnfor#ada

_1=−=

_2=ℎ/2−=

9.85

0.65

〖〗 _1= 〖 _1 〗 2∗((−1)∗!)=1596.02

〖〗 _2=(∗ℎ")/2+ 〖 _2 〗 2∗(ℎ∗)= 13126.46

*n =1+2=

14722.48

%o#nto d a+r"ta#"nto

#_=(∗)/=

#_1=#/12000=

589321.6171

49

Esfur,os n l conrto $ acro

$_=(#∗)/=

526.38

$_=(#∗(−))/∗=

Dfor#ac"on dl conrto $ acro

%_=_/&=

0.000109

%_=(∗

_

0.000146 )/(−)=

!"ro

'_1= _/(−)=0.000010 SECCION FISURADA ! #A(I#O #O#EN%O E)AS%ICO

-alors d los para#tros  $ /

=−+√(2 2+2)=

0.3308

*=1−/"=

Esfur,os #a"#os ad#"s"bls

$_=/2= $_==

2000 60000

#_=1/2 _ 2 *=

1556914.5004

#_=2 _*=

2885297.1

0.8897

3154.26

4000

El"/"ndo l #o#nto #"n"#o ntr %c%s

#_ =,(#-#)=

1556914.5004

#_2=#/12000=

130

Esfur,o n l concrto $ acro son

$_=#/(2*)=

32376.17

$_=2#/(2*)=

2000

-r"cando

$_

s"

$_

s"

Dfor#ac"on dl acro $ concrto

)/(−)= %_=$_/&= 0.001116 %_=( _ 0.000552 !"ro

'_2=%_/(−)=0.000073 #O#EN%O NO#INA)

#_=(−0.5/+)=

2949755.25

rofund"dad / nutro

_1=

0 .8 5

=/(0.5 1 )=

4 .8 8

Dfor#ac"on d acro

((−))/ 3=

0.011139

!"ro

'_"=/=

0.000615

#_"=#/12000=

246

3



8

DIA$RA#A #O#EN%O $IRO

0

0

0.000010

49

0.000073

130

0.000615

246

300

250

200

150

100

50

0

0

0 . 0 0 01

0.0002

0.0003

0 . 0 0 04

0.0005

0 .0 0 0 6

0 . 0 00 7

Datos ф=

0.90

As =

0.85

λ=

*.59

$ =

60

=fc

= ( )/(  )= 6.38

%+,- d C/s-

46  4ℎ

caso 

48ℎ

CASO 

=(  (−9) ℎ)/=

4.59

 %n =  (−ℎ/2)+(−)( 4:2;

:#=:∗#=

9396.15

-r"cando Cuana p=

;<=/(9∗)=

0.0214

por

tabla

0.01*65

;9 4=0.75 +0.75= ;9 ,>6=/(9∗)=

9 489 ,>6

0.0293

0.0292

CU#")E

=

10440.1*

3

=b

28

=d

26

b= <

10

h=f

6