diagrama de interaccion columna circular hueca en concreto armado
Post on 26-Oct-2014
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DATOS
E 2000000
fy 4200
f'c 310 β= 0.828571429Φ mayor(cm) 200
Φmenor (cm) 140 Compresion Purad(cm) 185 Ø= 0.85 Ac=
cb 108.823529 Po= (0.85f'c*Ac)+(As*fy)ab 90.1680672 Po= 4545.044442 Tn
espesor corona 30 Pn max= 3863.287776 Tn
d1(cm) = 15
d2(cm) = 26.389
d3(cm) = 57.5
d4(cm) = 100
d5(cm) = 142.5
d6(cm) = 173.612
d7(cm) = 0
d8(cm) = 0
d9(cm) = 185
area comp α1 α2 area(cm2) ycentroid(cm)area caso1 0 0 0area caso2 1.4723179023 1.42987418 7419.7787 41.36079697area caso3 0 0 0 0area caso 4 0 0 0
area caso3- area traccion 3' y'a1 0 0a2 0 0
A'c sin comp 0 0
REFERENCIA DE CALCULO DE AREAS
α1 α2 100 PRE CON LA VERTICAL
COLUMNA CIRCULAR HUECA
Compresion Pura16022.1192 As= 76.9561984
d(pulgadas)d(pulgadas) FALLA BALANCEADA1.125 0 area(cm2) Ɛ f FUERZA
Cc 7419.7787 263.5 1955.1117As1 1 0 6.4130165 0.0025865 4200 26.934669As2 2 0 12.826033 0.0022725 4200 53.869339As3 2 0 12.826033 0.0014149 2829.7297 36.294207As4 2 0 12.826033 0.0002432 486.48649 6.2396918As5 2 0 12.826033 0.0009284 1856.7568 -23.81482As6 2 0 12.826033 0.0017861 3572.1211 -45.81614As7 0 0 0 0.003 4200 0As8 0 0 0 0.003 4200 0As9 1 0 6.4130165 0.0021 4200 -26.93467
FALLA BALANCEADA
area(cm2) 16022.123 Pnb (Tn) =Mnb (Tn) =
CENTROIDE PLASTICO
yp (cm) = 100
CENTROIDE CONCRETO COMPRIMIDO
ycentro (cm) 41.360797
PARA C<Cb FLUENCIA
c(cm) = 25 Ar Cc(cm2)a(cm) = 20.714285714 Yc(cm) =
area comp α1 α2 area(cm2)
area caso1 0.6553131305 1721.4001area caso2 0 0 0area caso3 0 0 0area caso4 0 0
PUNTO DE FLUENCIAdist (cm) Mnto(Tn) Ɛ f FUERZA dist(cm)58.639203 1146.4619 263.5 453.588923 87.649692
85 22.894469 0.0012 2400 15.3912397 8573.611 39.653759 0.0001667 333.36 -4.2756864 73.611
42.5 15.425038 0.0039 4200 -53.869339 42.50 0 0.009 4200 -53.869339 0
-42.5 10.1213 0.0141 4200 -53.869339 -42.5-73.612 33.726179 0.0178334 4200 -53.869339 -73.612
100 0 0.003 4200 0 100100 0 0.003 4200 0 100-85 22.894469 0.0192 4200 -26.934669 -85
FALLA BALANCEADA PUNTO DE FLUENCIA O FALLA TRACCION
1981.884 Pn(Tn) = 222.2924511291.1771 Mn(Tn.m) = 470.053237
area caso3- area traccion 3' y'a1 0 0a2 0 0
A'c sin comp 0 0
PARA C>Cb CASO DE FALLA
1721.40009 c(cm) = 175 Ar Cc(cm2)12.3503084 a(cm) = 145 Yc(cm) =
ycentroid(cm) area comp α1 α2 area(cm2)
12.3503084 area caso1 0 00 area caso2 0 0 00 area caso3 1.10403099 0.87257385 10863.1970 area caso 4 0 0
PUNTO DE FALLAMnto(Tn) Ɛ f FUERZA(Tn) dist(cm)397.569292 263.5 2862.45237 34.24624613.0825537 0.0027428571 4200 26.9346694 85-3.1473755 0.0025476171 4200 53.8693389 73.611-22.894469 0.0020142857 4028.57143 51.6705903 42.5
0 0.0012857143 2571.42857 32.9812279 022.894469 0.0005571429 1114.28571 14.2918654 -42.5
39.6542977 2.379429E-05 47.5885714 0.61037259 -73.6120 0.003 4200 0 1000 0.003 4200 0 100
22.894469 0.0001714286 342.857143 -2.19874853 -85
PUNTO DE FLUENCIA O FALLA TRACCION PUNTO DE FALLA o FALLA A COMPRESION
Pn(Tn) = 3040.61168Mn(Tn.m) = 1060.1363
area caso3- area traccion 3' y'a1 7021.68138 167.61821a2 1862.75569 155.17084
A'c sin comp 5158.92569 172.11263
0 200 400 600 800 1000 1200 14000
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Curva Nominalcurva de Diseño
Mu(Ton-m)
Pu(T
n)
0 200 400 600 800 1000 1200 14000
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Curva Nominalcurva de Diseño
Mu(Ton-m)
Pu(T
n)
CASO FLEXION PURA
10863.197 c(cm) = 17.748 Ar Cc(cm2) 1039.56965.753754 a(cm) = 14.70548571 Yc(cm) = 8.7845692
ycentroid(cm) area comp α1 α2 area(cm2) ycentroid(cm)
0 area caso1 0.549194744 1039.569 8.78456920 area caso2 0 0 0 0
65.753754 area caso3 0 0 0 00 area caso 4 0 0 0
PUNTO DE FALLAMnto(Tn.m) Ɛ f FUERZA(Tn) dist(cm) Mnto(Tn.m)980.28249 263.5 273.926438 91.215431 249.8631822.894469 0.0004645 929.0060852 5.95773138 85 5.064071739.653759 0.0014606 2921.230561 -37.4678 73.611 -27.5804221.960001 0.0067194 4200 -53.869339 42.5 -22.89447
0 0.0139033 4200 -53.869339 0 0-6.074043 0.0210872 4200 -53.869339 -42.5 22.894469-0.449307 0.0263462 4200 -53.869339 -73.612 39.654298
0 0.003 4200 0 100 00 0.003 4200 0 100 0
1.8689362 0.0282711 4200 -26.934669 -85 22.894469
PUNTO DE FALLA o FALLA A COMPRESION PUNTO DE FLEXION PURA
Pn(Tn) = 0.00434471Mn(Tn.m) = 289.895597
area caso3- area traccion 3' y'a1 0 0a2 0 0
A'c sin comp 0 0
0M P0 4545.04444 compresion pura
1060.136302 3040.61168 falla a compresion 1291.177122 1981.88395 balanceada470.0532371 222.292451 falla a traccion289.8955969 0.00434471 flexion pura
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Curva Nominalcurva de Diseño
Mu(Ton-m)
Pu(T
n)
ØM ØP0 3181.53111
742.0954115 2128.42818903.8239857 1387.31877329.037266 155.604716260.9060372 0
0 200 400 600 800 1000 1200 14000
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Curva Nominalcurva de Diseño
Mu(Ton-m)
Pu(T
n)
ycentroid(cm)
Mnto(Tn.m)
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