diagrama de interaccion Columna Circular Hueca en concreto armado

DATOS E fy f'c Φ mayor(cm)

2000000 4200 310

Φmenor (cm)

140

d(cm)

185

cb ab espesor corona

0.828571429

200 Compresion Pu

Ø= 0.85

108.8235294

Po= (0.85f'c*Ac)+(As*fy)

90.16806723

Po=

30

d1(cm) = d2(cm) = d3(cm) =

15 26.389 57.5

d4(cm) = d5(cm) = d6(cm) = d7(cm) = d8(cm) = d9(cm) =

100 142.5 173.612 0 0 185

α1 area comp area caso1 0 area caso2 1.472317902 area caso3 0 area caso 4 0

β=

Pn max=

α2

4545. 4545.044 044442 442 Tn 3863. 3863.287 287776 776 Tn

area area(c (cm2 m2)) ycent centro roid id(c (cm) m) 0 0 1.429874177 7419.7787 41.36079697 0 0 0 0 0

area caso3- area traccion 3' a1 0 a2 0  A'c sin comp 0

y' 0 0 0

REFERENCIA DE CALCULO DE AREAS

Ac=

α1 α2 100 PRE CON LA VERTICAL

COLUMNA CIRCULAR HUECA

a

16022.1192

As=

d(pulgadas) 1.125

76.9561984

d(pulgadas) area(cm2) 0

Cc As1 As2 As3

1 2 2

0 0 0

As4 As5 As6 As7 As8 As9

2 2 2 0 0 1

0 0 0 0 0 0

7419.7787 6.4130165 12.826033 12.826033 12.826033 12.826033 12.826033 0 0 6.4130165

Ɛ

0.0025865 0.0022725 0.0014149 0.0002432 0.0009284 0.0017861 0.003 0.003 0.0021

FALLA BALANCEADA f FUERZA 263.5 1955.1117 4200 26.934669 4200 53.869339 2829.7297 36.294207 486.48649 6.2396918 1856.7568 -23.814824 3572.1211 -45.816143 4200 0 4200 0 4200 -26.934669 FALLA BAL

area(cm2)

16022.1225

CENTROIDE PLASTICO yp (cm) =

100

CENTROIDE CONCRETO COMPRIMIDO ycentro (cm)

41.360797

Pnb (Tn) = Mnb (Tn) =

PARA C
a(cm) =

20.71428571

area comp α1 area caso1 0.655313131 area caso2 0 area caso3 0 area caso4 0

dist (cm) Mnto(Tn) 58.639203 1146.4619 85 22.894469 73.611 39.653759 42.5 15.425038 0 0 -42.5 10.1213 -73.612 33.726179 100 0 100 0 -85 22.894469 NCEADA 1981.884 1291.1771

 Ar Cc(cm2) Yc(cm) =

25

α2

0 0

area(cm2) 1721.40009 0 0 0

PUNTO DE FLUENCIA Ɛ f FUERZA dist(cm) 263.5 453.5889231 87.6496916 0.0012 2400 15.39123968 85 0.0001667 333.36 -4.27568638 73.611 0.0039 4200 -53.8693389 42.5 0.009 4200 -53.8693389 0 0.0141 4200 -53.8693389 -42.5 0.0178334 4200 -53.8693389 -73.612 0.003 4200 0 100 0.003 4200 0 100 0.0192 4200 -26.9346694 -85 PUNTO DE FLUENCIA O FALLA TRACCION Pn(Tn) = Mn(Tn.m) =

222.2924515 470.0532371

area caso3- area traccion 3' a1 0 a2 0  A'c sin comp 0

y' 0 0 0

PARA C>Cb 1721.400088 12.35030842

a(cm) =

ycentroid(cm) 12.35030842 0 0 0

area comp area caso1 area caso2 area caso3 area caso 4

Mnto(Tn) 397.5692921 13.08255373 -3.1473755 -22.894469 0 22.89446902 39.65429773 0 0 22.89446902

c(cm) =

CASO DE FALLA  Ar Cc(cm2) Yc(cm) =

175

145 α1

α2

0 0 1.104030988 0

Ɛ

0.002742857 0.002547617 0.002014286 0.001285714 0.000557143 2.37943E-05 0.003 0.003 0.000171429

area(cm2) 0 0 0 0.872573853 10863.197 0

PUNTO DE FALLA f FUERZA(Tn) dist(cm) 263.5 2862.452368 34.246246 4200 26.93466944 85 4200 53.86933887 73.611 4028.571429 51.67059035 42.5 2571.428571 32.98122788 0 1114.285714 14.29186541 -42.5 47.58857143 0.610372591 -73.612 4200 0 100 4200 0 100 342.8571429 -2.198748525 -85 PUNTO DE FALLA o FALLA A COMP Pn(Tn) = Mn(Tn.m) =

3040.611684 1060.136302

area caso3- area traccion 3' a1 7021.68138 a2 1862.75569  A'c sin comp 5158.92569

y' 167.61821 155.17084 172.11263

5000 4500 4000 3500     )    n    T     (    u    P

3000 2500 2000 1500 1000 500 0 0

200

400

600

800

1000

1200

Mu(Ton-m)

CASO FLEXION PURA 10863.197 65.753754 ycentroid(cm) 0 0 65.753754 0

Mnto(Tn.m) 980.28249 22.894469 39.653759 21.960001 0 -6.0740428 -0.4493075 0 0 1.8689362

c(cm) =

a(cm) =

 Ar Cc(cm2) Yc(cm) =

17.748

14.70548571

α2 area comp α1 area caso1 0.549194744 area caso2 0 area caso3 0 area caso 4 0

Ɛ

0.0004645 0.0014606 0.0067194 0.0139033 0.0210872 0.0263462 0.003 0.003 0.0282711

ESION

0 0

1039.569 8.7845692

area(cm2) ycentroid(cm 1039.569 8.7845692 0 0 0 0 0 0

PUNTO DE FALLA f FUERZA(Tn) dist(cm) Mnto(Tn.m) 263.5 273.926438 91.215431 249.86318 929.0060852 5.957731383 85 5.0640717 2921.230561 -37.4677998 73.611 -27.580422 4200 -53.8693389 42.5 -22.894469 4200 -53.8693389 0 0 4200 -53.8693389 -42.5 22.894469 4200 -53.8693389 -73.612 39.654298 4200 0 100 0 4200 0 100 0 4200 -26.9346694 -85 22.894469 PUNTO DE FLEXION PURA Pn(Tn) = Mn(Tn.m) =

0.004344707 289.8955969

area caso3- area traccion 3' a1 0 a2 0  A'c sin comp 0

y' 0 0 0

0

Curva Nominal curva de Diseño

1400

M 0 1060.136302 1291.177122 470.0532371 289.8955969

P 4545.044442 3040.611684 1981.883952 222.2924515 0.004344707

ØM

ØP

0 742.0954115 903.8239857

3181.53111 2128.428179 1387.318766

compresion pura falla a compresion balanceada falla a traccion flexion pura

329.037266 260.9060372

155.604716 0

)