UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO FACULTAD DE INGENIERIA ESPECIALIDAD EN GEOTECNIA ALUMNO: MANCERA SANTOS FAUSTINO GRUPO: 0001 ASIGNATURA: CIMENTACIONES II PROFESOR: M.I. GERMAN LOPEZ RINCON TEMA: CÁLCULO DE DIAGRAMA DE MOMENTOS FLEXIONANTES CIMENTACION SEMIFLEXIBLE
Cimentación Semiflexible (Distribución variable)
P=422.5t
P=845t
P=845t
P=845t
P=845t
P=422.5t
0.4m
0.4m
0.4m
0.3m
0.2m 0.4m
0.3m 0.4m
Cimentación sin acción de los resortes
Total de las cargas
Cálculo de una cimentación flexible con pilotes de fricción 2001.0624
Ton
Ancho(B)=
15
Largo(L)=
Peso de la estructura=
Área de contacto(15x30 m)= Prof.de desplante Df= Esf.Efect (σod)=
Presión de poro (Uod)=
2.5
Ton/m2
m
Lado del pilote=
0.4
m
30
m
Radio equivalente=
0.23
m
450
m2
5
m
5.25
Ton/m2
Considerando los parámetros de Cv1,Cv2 y Cv7 según datos de laboratorio
χ=
Muestras Estrato(#) DE (m)
Cv1 Cv1 Cv1 Cv2 Cv2 Cv2 Cv7 Cv7 Cv7
1 2 3 4 5 6 7 8 9
0 2.5 5 8 12 16 20 25 31 36
A
0 2.5 5 8 12 16 20 25 31 36
d(m) ϒ (Ton/m3) Δp (Ton/m2)
0 250 250 300 400 400 400 500 600 500
1.7 1.4 1.25 1.2 1.3 1.25 1.26 1.3 1.65
425 350 375 480 520 500 630 780 825
3
Poz(Ton/ m2)
0 425 775 1150 1630 2150 2650 3280 4060 4885
Uoz (Ton/m2) σi(Ton/m2) mv(Kg/cm2) α(Kg/m3) α(Ton/m3)
0 2.5 5.5 8.33 10 11.78 14 18 24
425 772.5 1144.5 1621.67 2140 2638.22 3266 4042 4861
0.026 0.023 0.022 0.014 0.0125 0.01 0.0022 0.0021 0.002
6.500 5.750 6.600 5.600 5.000 4.000 1.100 1.260 1.000
0.00650 0.00575 0.00660 0.00560 0.00500 0.00400 0.00110 0.00126 0.00100
Iz
Δδji(Ton/m3)
0.88013 0.41908 0.21319 0.12422 0.07575 0.04647
0.00580886 0.00234685 0.00106595 0.00049688 8.3325E-05 5.8552E-05
δji
0.00986041
N0.dovelas=
8 3.750 15.000
Área dovela= Wt= Wt= At= qa=
56.25 5125 2001.0624 450 4.44680533
qa 4.45 4.45 4.45 4.45 4.45 4.45 4.45 4.45
m m
δi 0.06389072 0.07605406 0.0800956 0.08146611 0.08146611 0.0800956 0.07605406 0.06389072 sa
MATRIZ DE ASENTAMIENTOS 0.009860393 0.00276358 0.0009607 0.002763575 0.00986039 0.00276358 0.000960703 0.00276358 0.00986039 0.000404349 0.0009607 0.00276358 0.000189343 0.00040435 0.0009607 9.63684E-05 0.00018934 0.00040435 5.24933E-05 9.6368E-05 0.00018934 3.02399E-05 5.2493E-05 9.6368E-05
0.00040435 0.0009607 0.00276358 0.00986039 0.00276358 0.0009607 0.00040435 0.00018934
0.000189343 0.000404349 0.000960703 0.002763575 0.009860393 0.002763575 0.000960703 0.000404349
9.6368E-05 0.00018934 0.00040435 0.0009607 0.00276358 0.00986039 0.00276358 0.0009607
5.2493E-05 9.6368E-05 0.00018934 0.00040435 0.0009607 0.00276358 0.00986039 0.00276358
0.07537662
3.024E-05 5.2493E-05 9.6368E-05 0.00018934 0.00040435 0.0009607 0.00276358 0.00986039
Ki 3917.82251 3291.24437 3125.17185 3072.59671 3072.59671 3125.17185 3291.24437 3917.82251
MATRIZ INVERSA 110.1193018 -30.2047386 -30.2047386 118.404137 -1.96646687 -29.6654291 -0.894565 -1.72122775 -0.36736104 -0.79405904 -0.18811041 -0.31639201 -0.10641388 -0.16030245 -0.0773015 -0.10641388
sa 0.07537662 0.07537662 0.07537662 0.07537662 0.07537662 0.07537662 0.07537662 0.07537662
-1.96646687 -29.6654291 118.43915 -29.6496361 -1.71502256 -0.7915643 -0.31639201 -0.18811041
-0.894565 -1.72122775 -29.6496361 118.446096 -29.6472793 -1.71502256 -0.79405904 -0.36736104
-0.367361041 -0.79405904 -1.715022559 -29.64727932 118.4460962 -29.64963608 -1.721227747 -0.894565005
-0.18811041 -0.31639201 -0.7915643 -1.71502256 -29.6496361 118.43915 -29.6654291 -1.96646687
reacciones del suelo
momentos
Reacción corregida
Q corregida
5.75231745 4.17854628 4.08138243 4.04447926 4.04447926 4.08138243 4.17854628 5.75231745
323.567856 235.043228 229.577762 227.501958 227.501958 229.577762 235.043228 323.567856
5.67053262 4.11913689 4.02335449 3.986976 3.986976 4.02335449 4.11913689 5.67053262
5.589910597 4.060572167 3.966151572 3.930290302 3.930290302 3.966151572 4.060572167 5.589910597
equilibrio
2031.38161
f.correccion 0.98578228
-0.10641388 -0.16030245 -0.31639201 -0.79405904 -1.72122775 -29.6654291 118.404137 -30.2047386
Momentos corregidos
318.96746 231.70145 226.31369 224.2674 224.2674 226.31369 231.70145 318.96746 2002.5
-0.0773015 -0.10641388 -0.18811041 -0.36736104 -0.894565 -1.96646687 -30.2047386 110.119302
CIMENTACIÓN RIGIDA
85.0579894 61.7870533 60.3503173 59.80464 59.80464 60.3503173 61.7870533 85.0579894
92.5579894 69.2870533 67.8503173 67.30464 67.30464 67.8503173 69.2870533 92.5579894