calculo columnas cortas aci

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HORMIGON: H_25 25 MPa 0.003 ACERO: ADN420 420 MPa Es= 210000 Mpa h = 50 cm s=A's = 18.5 cm² 28.50 cm² b = 50 cm Ast = 45.6 cm² 17.10 cm² d' = 4 cm Ag = 2500 cm² d = 46 cm 1.82% Barras Extre 10 # 6 100 mm Barras Later 6 # 6 100 mm Estribos: # 3 @ 250 mm (@max: 305 mm) 0.85) Armadura Traccionada Armadura Comprimida Hormigon Punto c a fs As.fs f's A's.f's = 0.85 f'c.a. [cm] [cm] [Mpa] [T] [Mpa] [ T ] [ T ] Pn(max) = Padm Pn(adm) = 0,8.Pn(max) = 1 60 51.0 ### -147 -27.2 0.0028 420 77.8 541.88 2 55.4 47.1 ### -106.6 -19.8 0.0028 420 77.8 500.07 3 50.7 43.1 ### -58.89 -10.9 0.0028 420 77.8 458.27 4 46.1 39.2 0.0000 -1.561 -0.3 0.0027 420 77.8 416.47 5 41.5 35.3 0.0003 68.554 12.7 0.0027 420 77.8 374.67 6 36.9 31.3 0.0007 156.28 29.0 0.0027 420 77.8 332.87 7 32.2 27.4 0.0013 269.2 49.9 0.0026 420 77.8 291.06 Pb 27.6 23.5 0.0020 420 77.8 0.0026 420 77.8 249.26 8 24.4 20.8 0.0027 420 77.8 0.0025 420 77.8 220.56 9 21.2 18.1 0.0035 420 77.8 0.0024 420 77.8 191.85 10 18.1 15.4 0.0046 420 77.8 0.0023 420 77.8 163.15 11 14.9 12.7 0.0063 420 77.8 0.0022 420 77.8 134.45 12 11.7 10.0 0.0088 420 77.8 0.0020 414.77 76.8 105.74 13 8.5 7.3 0.0132 420 77.8 0.0016 334.57 62.0 77.04 P=0 5.35 4.5 0.0228 420 77.8 0.0008 159.12 29.5 48.33 14 4.01 3.4 0.0314 420 77.8 0.0000 2.1578 0.4 36.25 15 2.68 2.3 0.0486 420 77.8 ### -311.8 -57.8 24.17 M=0 Tracción Pura CARGAS DE DISEÑO: 150 20 120 10 160 5 50 7 MATERIALES : f'c = ec= fy = GEOMETRIA : AsE= AsL= rt = ARMADURA DE DISEÑO : s1 = s2 = (b1 = es e's Pnmax Nu [t] Mu [tm] b Mn s s2 COLUMNAS CORTAS - ACI 318-05 500 600 463.5 DIAGRAMA DE INTERAC Pn [T]

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Page 1: Calculo Columnas Cortas Aci

HORMIGON: H_25 25 MPa 0.003ACERO: ADN420 420 MPa Es= 210000 Mpa

h = 50 cm As=A's = 18.5 cm² 28.50 cm²

b = 50 cm Ast = 45.6 cm² 17.10 cm²d' = 4 cm Ag = 2500 cm²d = 46 cm 1.82%

Barras Extremas: 10 # 6 100 mm

Barras Laterales: 6 # 6 100 mmEstribos: # 3 @ 250 mm (@max: 305 mm)

0.85) Armadura Traccionada Armadura Comprimida Hormigon

Punto c a fs As.fs f's A's.f's C = 0.85 f'c.a.b Pn[cm] [cm] [Mpa] [T] [Mpa] [ T ] [ T ] [ T ]

Pn(max) = 713.1

Padm Pn(adm) = 0,8.Pn(max) = 570.5

1 60 51.0 -0.0007 -147 -27.2 0.0028 420 77.8 541.88 646.9

2 55.4 47.1 -0.0005 -106.63 -19.8 0.0028 420 77.8 500.07 597.6

3 50.7 43.1 -0.0003 -58.885 -10.9 0.0028 420 77.8 458.27 547.0

4 46.1 39.2 0.0000 -1.5613 -0.3 0.0027 420 77.8 416.47 494.6

5 41.5 35.3 0.0003 68.5537 12.7 0.0027 420 77.8 374.67 439.8

6 36.9 31.3 0.0007 156.279 29.0 0.0027 420 77.8 332.87 381.7

7 32.2 27.4 0.0013 269.202 49.9 0.0026 420 77.8 291.06 319.0

Pb 27.6 23.5 0.0020 420 77.8 0.0026 420 77.8 249.26 249.3

8 24.4 20.8 0.0027 420 77.8 0.0025 420 77.8 220.56 220.6

9 21.2 18.1 0.0035 420 77.8 0.0024 420 77.8 191.85 191.9

10 18.1 15.4 0.0046 420 77.8 0.0023 420 77.8 163.15 163.1

11 14.9 12.7 0.0063 420 77.8 0.0022 420 77.8 134.45 134.4

12 11.7 10.0 0.0088 420 77.8 0.0020 414.769 76.8 105.74 104.8

13 8.5 7.3 0.0132 420 77.8 0.0016 334.572 62.0 77.04 61.2

P=0 5.35 4.5 0.0228 420 77.8 0.0008 159.118 29.5 48.33 0.0

14 4.01 3.4 0.0314 420 77.8 0.0000 2.15785 0.4 36.25 -41.2

15 2.68 2.3 0.0486 420 77.8 -0.0015 -311.76 -57.8 24.17 -111.4

M=0 Tracción Pura -191.5

CARGAS DE DISEÑO:

150 20120 10160 5

50 7

MATERIALES:

→ f'c = ec=→ fy =

GEOMETRIA:

AsE=

AsL=

rt =

ARMADURA DE DISEÑO:

s1 =

s2 =

(b1 =

es e's

Pnmax

Nu [t] Mu [tm]

d'

d

b

Mn

s1

s2

COLUMNAS CORTAS - ACI 318-05

0 5 10 15 20 25 30 35 40 45

-300

-200

-100

0

100

200

300

400

500

600

2

463.5

370.8 3 45

6

7

8

9

1112

1314

1516

17

18

19

-172.4

DIAGRAMA DE INTERACCION

Mn [Tm]

Pn [T]

L6
warning
L7
warning
L8
warning
E11
As=Seccion Armadura Traccionada A's=Seccion Armadura Comprimida
E12
Seccion Total Acero
E13
Seccion total columna
E14
Cuantía Total: rg= Ast / Ag
G19
Separación Máxima entre estribos: (s/ACI 7.10.5.) Será el menor de los sig. Valores: - 16 veces el diámetro de la armadura longitudinal - 48 veces el diámetro de los estribos - La menor dimensión de la columna
E22
Deformación armadura traccionada
F22
Tension Armadura Traccionada
H22
Deformacion Armadura Traccionada
I22
Tension Armadura comprimida
M22
Resistencia última nominal a Compresión
B24
(ACI 10.3.6.2) Pn(max)=0,80 . f . [0,85 f'c . (Ag-Ast) + fy . Ast] donde: f=0,65 por tratarse de falla controlada por compresión
B33
Falla Balanceada ec=0.003 es=fy/Es
C40
Se obtiene despejando c de la ecuación: As. fy = 0,85 f'c . b1 . c . b + A's . eu . Es . (c-d')/c Resolviendo cuadrática ax²+bx+c=0, donde: a: 0,85 f'c . b1 . b b: A's ec . Es - As . fy c: -A's . ec . Es . d'
Page 2: Calculo Columnas Cortas Aci

0 5 10 15 20 25 30 35 40 45

-300

-200

-100

0

100

200

300

400

500

600

2

463.5

370.8 3 45

6

7

8

9

1112

1314

1516

17

18

19

-172.4

DIAGRAMA DE INTERACCION

Mn [Tm]

Pn [T]

Page 3: Calculo Columnas Cortas Aci

0 0

Mn e f[Tm] [cm] [ T ] [Tm]0.0 0.00 0.65 463.5 0.0

0.0 0.00 0.65 370.8 0.0

7.9 0.01 0.65 370.8 5.1

19.5 0.03 0.65 370.8 12.7

29.8 0.05 0.65 355.5 19.4

38.8 0.08 0.65 321.5 25.2

46.6 0.11 0.65 285.9 30.3

53.5 0.14 0.65 248.1 34.8

59.7 0.19 0.65 207.4 38.8

65.8 0.26 0.65 162.0 42.7

64.9 0.29 0.65 143.4 42.2

63.3 0.33 0.65 124.7 41.2

60.9 0.37 0.65 106.0 39.6

57.8 0.43 0.65 87.4 37.6

53.7 0.51 0.65 68.1 34.9

45.8 0.75 0.66 40.1 30.0

33.5 ∞ 0.90 0.0 30.2

24.9 -0.60 0.90 -37.0 22.4

10.0 -0.09 0.90 -100.3 9.0

0.0 0.00 0.90 -172.4 0.0

fPn fMn

d'

h

a

T

C

0.85 f'cec

e's

es

c

Fal

la p

or C

om

pre

sión

Fal

la p

or T

racc

ión

0 5 10 15 20 25 30 35 40 45

-300

-200

-100

0

100

200

300

400

500

600

2

463.5

370.8 3 45

6

7

8

9

1112

1314

1516

17

18

19

-172.4

DIAGRAMA DE INTERACCION

Mn [Tm]

Pn [T]

N22
Resistencia última nominal a Momento
P22
f = 0,65 para: Pn > 0,10 f'c Ag f = 0,90 para: Pn < 0 para 0 < Pn < 0,10 f'c Ag: f se interpola linealmente entre 0,65 y 0,90
Page 4: Calculo Columnas Cortas Aci

0 5 10 15 20 25 30 35 40 45

-300

-200

-100

0

100

200

300

400

500

600

2

463.5

370.8 3 45

6

7

8

9

1112

1314

1516

17

18

19

-172.4

DIAGRAMA DE INTERACCION

Mn [Tm]

Pn [T]