Diseño de Cuantia de Armadura

8/18/2019 Diseño de Cuantia de Armadura

1/28

METODO CBH-87

fck 210 kg/cm2 2.5 1.6

fyk 4200 kg/cm2 Es(kg/cm2) 2100000

fcd 140 kg/cm2 Ԑy(‰)= 1.7391


2/28

= 20mm=3/4 3.14

= 25mm=1 4.91


3/28

METODO ACI 2008

21 fy(") 420 25 # cor%

c$"%!" m"@!m"

gitudinal

% ' / " L

"CC'%

c$m? c$m? φ6 1 10 0.22 0.22 3.4 190 4.114 1000

c$m? c$m? φ6 1 9 0.22 0.22 3.4 190 4.114 373.3 746.596c$m? c$m? φ6 1 0.22 0.22 3.4 190 4.114 746.6 1119.9

o c$m? c$m? φ6 1 7 0.22 0.22 3.4 190 4.114 1119.9 1493.2

o c$m? c$m? φ6 1 6 0.22 0.22 3.4 190 4.114 1493.2 166.5

o c$m? c$m? φ6 1 5 0.22 0.22 3.4 190 4.114 166.5 2239.

c$m? c$m? φ6 1 4 0.22 0.22 3.4 190 4.114 2239. 2613.1

c$m? c$m? φ6 1 3 0.22 0.22 3.4 190 4.114 2613.1 296.4

c$m? c$m? φ6 1 2 0.22 0.22 3.4 190 4.114 296.4 3359.7

c$m? c$m? φ6 1 1 0.22 0.22 3.4 190 4.114 3359.7 3733

CALCUL !" LA CA#$A

21 fy(") 420 # cor% 0.65

;E8 Arm"d$r" ?og!%$d!"?

E# (mm)

0.5 0.25 12.5 #16 16 #6

fc'( ")

"(/m3)

φ e s t r i b o

( m m )

e 2 3 φ L m a

4

s e -

d e

e s t r - c m

s 6 3 1 5 φ L m i

naltura

del ilar(m)

C & * # " + '

% ' % ' C ' A L

% ( 7 % )

( " L + )

C A # $ A ! "

C L U & % A

( 7 % )

C & * # " + '

% , ' % A L

( 7 % ) ( " L U )

C & * # -

, ' % A L

* u

m a ( 7 % )

( " L U )

cuantiaminima

cuantiamaima

a

(m)

b(m)

fc'(")

"

(m)

(m)

As m!(cm2)

;?cc!B d"rm"d$r"

As% "r"c.(cm2)

b(cm)

a(m)

a

columna

Nd

Nd

CLminCE>=1/4 CLmax

CLmax

s


4/28


5/28

0.65

Armadura longitudinal

3.333 4φ20+2φ12 4.52 4.4 φ6 1

D2.91 4φ20+2φ13 4.52 4.4 φ6 16.3647 4φ20+2φ14 4.52 4.4 φ6 1

15.647 4φ20+2φ15 4.52 4.4 φ6 1

24.93 4φ20+2φ16 4.52 4.4 φ6 1

34.213 4φ20+2φ18 4.52 4.4 φ6 1

43.495 4φ20+2φ1 4.52 4.4 φ6 1

52.77 4φ20+2φ19 4.52 4.4 φ6 1

62.06 4φ20+2φ20 4.52 4.4 φ6 1

71.343 4φ20+2φ21 4.52 4.4 φ6 1

&'%AL

#: m"@

20 1494.39149.44 -

As areanec-

(cm2) φ e s t r i b o

( m m )

e 2 3 φ L m a

4

s e -

d e

e s t r - c m

s 6 3 1 5 φ L m i

nselecci.n dearmadura

As areanec- #eal

cm2

cuantiaminima

s(cm)


6/28


7/28

b

s>=25cma

EC6)/ CL


8/28


9/28

-*A;>E*EA E A*+A :A*A 8E-8;

L 6

L, 6.5

F= 300 F@ Fy

644.3769 600

*A= 2094.23077 *G= 2094.23077

%o m"@

3403.125

-*A;>E*EA E A*+A; :A*A *EA8E;

F= 300

Ly= 6

Fy= 450

L@= 6.5

F@= 44.61535

L

y

Lx

Lx

qx

L

y

q

y

L y

Lx

L y

q y


10/28

*A= 1575 *G= 1575

%o m"@

2559.375

Lx

qx


11/28

*G= 100

%o m"@= 2700

*A= 100

*G= 1350

%o m"@= 2025

*A= 1350

L

y


12/28


13/28

METODO CBH-87

!'": A ,L";'%PROPIEDADES FISICOS MECANICOS DE LOS MATERIALES

h(cm) 20 Rec.mec.(cm) 2.5 cH 1.5

(cm) 100 fck(kg/cm2) 210 fyk(kg/cm2

d(cm) 17.5 Es(kg/cm2) 2100000C%A%" &"CA%'CA

0.660 0.7220 I3JL= 0.3320 Ԑy(‰)

!'&"%C'%A&'"%Km!= 0.001 3.6 cm2

,

# A % d

1

A 1 3000 0.070 0.106 1767.360

ADG 2 5000 0.117 0.14 31015.040

G 3 70 0.01 0.026 432.560

!'": A C#A%"(cm) 50 rc. c.(cm) 5

(cm) 25 fck(kg/cm2) 210

cH 1.5 fyk(kg/cm2) 4200

d(m) 45 1.15

c$"%!" m!!m" d cor%

20 kg/cm kg/cm

102.261 70

As s%r. 0.2 cm2 c$m?

,#A%


14/28


15/28

&"! AC'!'": A ,L";

(m) 0.2 rc mc(m) 0.025

1.15 (m) 1 fc(") 21 fy(")

4200 f!Q 0.9 R@!o

As m!=2J‰ ..d 4.9 cm2d(m) 0.175

1.7390

,#A%


16/28


17/28

00%

420

A;>J.

) Arm nec A(cm2) "CC'%

0 1-19

0 4-44

9 8-98

%"(m) 0.5 fy(") 420(m) 0.25 fc(") 21

cortante

0.2 104.132 c$m? c$m?

0.2 104.132 c$m? c$m?0.2 104.132 c$m? c$m?

cortante/nGc-/c+Gc-/s

(7%)

eriFcacion acortante c$"%!"

m!!m"searacion

(m)


18/28


19/28


20/28


21/28

METODO CBH-87

fck 210 kg/cm2 2.5 1.6

fyk 5000 kg/cm2 Es(kg/cm2) 2100000

fcd 140 kg/cm2 Ԑy(‰)= 2.0704


22/28

= 20mm=3/4 3.14

= 25mm=1 4.91


23/28

METODO ACI 2008

21 fy(") 500 25 # cor%

c$"%!" m"@!m"

gitudinal

% ' / " L

"CC'%

c$m? c$m? φ6 1 10 0.3 0.3 3.4 00 7.65 1272.26

c$m? c$m? φ6 1 9 0.25 0.25 3.4 00 5.3125 154.6c$m? c$m? φ6 1 0.25 0.25 3.4 00 5.3125 154.6

c$m? c$m? φ6 1 7 0.25 0.25 3.4 00 5.3125 154.6

c$m? c$m? φ6 1 6 0.25 0.25 3.4 00 5.3125 154.6

c$m? c$m? φ6 1 5 0.25 0.25 3.4 00 5.3125 154.6

c$m? c$m? φ6 1 4 0.25 0.25 3.4 00 5.3125 154.6

c$m? c$m? φ6 1 3 0.25 0.25 3.4 00 5.3125 154.6

c$m? o c$m? φ6 1 2 0.25 0.25 3.4 00 5.3125 154.6

c$m? o c$m? φ6 1 1 0.25 0.25 3.4 00 5.3125 154.6

CALCUL !" LA CA#$A

21 fy(") 500 # cor% 0.65

;E8 Arm"d$r" ?og!%$d!"?

E# (mm)

0.5 0.25 12.5 #16 16.0 #6

fc'( ")

"(/m3)

φ e s t r i b o

( m m )

e 2 3 φ L m a

4

s e -

d e

e s t r - c m

s 6 3 1 5 φ L m i

naltura

del ilar(m)

C & * # " + '

% ' % ' C ' A L

% ( 7 % )

( " L + )

C A # $ A ! "

C L U & % A

( 7 % )

C & * # " + '

% , ' % A L

( 7 % ) ( " L U )

C & * # " + '

% , ' % A L

( " L U )

φ * m a

( 7 % )

cuantiaminima

cuantiamaima

a

(m)

b(m)

fc'(")

"

(m)

(m)

As m!(cm2)

;?cc!B d"rm"d$r"

As% "r"c.(cm2)

b(cm)

a(m)

CE>=1/4 CLmax

CLmax

s


24/28


25/28

0.65

Armadura longitudinal

17.425 4φ20+2φ12 4.52 9 φ6 1

3.631 4φ20+2φ13 4.52 6.25 φ6 13.631 4φ20+2φ14 4.52 6.25 φ6 1

3.631 4φ20+2φ15 4.52 6.25 φ6 1

3.631 4φ20+2φ16 4.52 6.25 φ6 1

3.631 4φ20+2φ18 4.52 6.25 φ6 1

3.631 4φ20+2φ1 4.52 6.25 φ6 1

3.631 4φ20+2φ19 4.52 6.25 φ6 1

3.631 4φ20+2φ20 4.52 6.25 φ6 1

3.631 4φ20+2φ21 4.52 6.25 φ6 1

&'%AL

#: m"@

20 1563.405159.424 -

As areanec-

(cm2) φ e s t r i b o

( m m )

e 2 3 φ L m a

4

s e -

d e

e s t r - c m

s 6 3 1 5 φ L m i

nselecci.n dearmadura

As areanec- #eal

cm2

cuantiaminima

s(cm)

b

s>=25cma

EC6)/ CL


26/28


27/28


28/28

Documents

Diseño de Cuantia de Armadura