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DISEÑO DE MUROS EN VOLADIZO
DATOS
Ƴs = 2.10 T/m3Ƴc = 2.40 T/m3
Ø = 32 °fc = 210 Kg/cm2fy = 4200 Kg/cm2
ϭt = 2.88 Kg/cm2S/C = 2.20 T/m2
hp = 4.00 mFSD = 1.5FSV = 2
f = 0.625 > 0.6Usar f = 0.600
Ka = 0.307
ho = 1.048
DIMENSIONAMIENTO DE LA PANTALLA
t 1 = 0.30 m
Mu = 22.12 T.m
Usando : ρ = 0.004
w = 0.08
Ø = 0.9b = 100
d = 40.00 cm
➱ t 2 = 45.00 cm Usar t2= 0.45 md = 0.40 m
VERIFICACION POR CORTE
Vud = 11.9064 T
Ø = 0.85 Vud/Ø = 14.01 T
Vc = 30.72 T >Vud/Ø OK !
Si hay traslape en la base Vce = 20.48 T >Vud/Ø OK !
Como el Angulo del talud = 0°
f=tg φ
Ka=tg2(45− φ2 )
hO=SCγ S
Mu=1 .8⋅[Ka⋅γ S⋅hP36 +Ka⋅γ S⋅hO⋅hP2
2 ]ω=ρ⋅
fyfc
d=√ Muφ⋅b⋅fc⋅ω⋅(1−0 .59⋅ω)
t2=d+5cm
V ud=1 .8⋅[Ka⋅γ S⋅(hP−d )2
2+Ka⋅γ S⋅hO⋅(hP−d )]
Vc=0 .53⋅√ fc⋅b⋅dVce=
23Vc
B1
t2
t1
B
hzhp
B2
ht
DIMENSIONAMIENTO DE LA ZAPATA
hz = 0.50 mUsamos hz= 0.50 m
h = 4.50 m
Ƴm = 2.00 T/m3 B1 ≥ 1.81 m
B1 = 1.89 m Usamos B1= 2.50 m
B2 ≥ 0.26 m
B2 mín = 0.50 m Usamos B2= 0.50 m
➱ B = 3.00 m
VERIFICACION DE ESTABILIDAD
AREA P.E. PESO x P.x 9.57 T
A1 1.20 2.40 2.88 0.80 2.30A2 0.30 2.40 0.72 0.60 0.43A3 1.50 2.40 3.60 1.50 5.40 16.64 T.mA4 8.20 2.10 17.22 1.98 34.01
N = 24.42 42.15
FSD = 1.53 > 1.5 OK !
FSV = 2.53 > 2 OK !
PRESIONES SOBRE EL TERRENO
Xo = 1.04 m
e = 0.46 m
B/6 = 0.50 m > e OK !
q1 = 15.56 T/m2 < σt OK !
q2 = 0.72 T/m2
EA =
MA =
MR =
Vce=23Vc
hZ=t2+5⋅cm
h=hP+hZ
B1h
≥FSDKa⋅γ S2⋅f⋅γm
B2h
≥ f3⋅FSVFSD
−B12⋅h
B2mín=hZ
B=B1+B2
E A=Ka⋅γ S⋅hO⋅h+Ka⋅γ S⋅h2
2
M A=Ka⋅γ S⋅hO⋅h2
2+Ka⋅γ S⋅
h3
6
FSD=f⋅NE A
FSV=M R
M A
Xo=MR−M A
N
e=B2
−Xo
qalignl ¿ 1 ¿2 ¿=NB [1±6⋅eB ]¿
E1
E2
S/C
A4A1
A2
A3
DISEÑO
DISEÑO DE LA PANTALLA
b = 100 cmd = 40 cm
t1 = 30 cmt2 = 45 cmfc = 210 Kg/cm2fy = 4200 Kg/cm2Ø = 0.9
Asmín = 5.40 cm2
Asmín = 8.10 cm2
# fierro @Mu = 22.12 T.m As = 15.32 cm2 4 0.08 m
Corte de 1 fierro alterno# fierro
4 0.125 ➱ ρ' = 0.0013
ρmín = 0.0018
REFUERZO HORIZONTAL
Arriba # fierro @As = 6.00 cm2
2/3As = 4 cm2 4 0.32 m1/3As = 2 cm2 3 0.36 m
IntermedioAs = 7.50 cm2
2/3As = 5 cm2 4 0.25 m1/3As = 2.5 cm2 3 0.29 m
AbajoAs = 9.00 cm2
2/3As = 6 cm2 4 0.21 m1/3As = 3 cm2 3 0.24 m
S usado
Asmín=0 .0018⋅b⋅t1
Asmín=0 .0018⋅b⋅t2
As=0.002⋅b⋅t
DISEÑO DE LA ZAPATA
Ws = 8.40 T/m q1 = 15.56 T/m
Wz = 1.20 T/m q2 = 0.72 T/m
ZAPATA ANTERIOR
Wu = 26.93 T/m
Mu = 3.37 T.m# fierro @
As = 2.24 cm2 4 0.57 md = 41.00 cm
As mín= 7.38 cm2 4 0.17 m
ZAPATA POSTERIOR
q = 10.139 T/m q' = 10.86 T/m
Wu = 14.4 T/m
Mu = 16.58 T.m# fierro @
As = 11.04 cm2 4 0.11 m
Refuerzo Transversal# fierro @
Astemp = 9.00 cm2 4 0.14 m
Wu=1 .8⋅q1−Wz⋅0 .9
Mu=Wu⋅L2
2
Asmín=0 .0018⋅b⋅d
Wu=(Ws+Wz )⋅1.5
Mu=(Wu−q2⋅1.5 )⋅L2
2−q '⋅1 .5⋅L
2
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