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Hoja1 MUROS DE CONTENCION Datos ∅ = 0º ca= 1.00 cp= 0.00 tg= 0.00 H= 4.55 m ∅ = 30º ca= 0.33 cp= 3.00 tg= 0.58 γs= 1920.00 k/m3 ∅ = 90º ca= 0.00 cp= 0.00 σs= 1.50 k/cm3 ∅= 30º β= 0 S= 2000.00 k/m2 μsc= 0.50 0.20 m f´c= 250 k/cm2 Fy= 4200 k/cm2 γw= 0.00 k/m3 6 γc= 2400 k/cm2 1 7 1.25 m 4.10 m 2 0.60 m 5 0.40 m 3 0.45 m 4 0.60 m 0.20 m 1.35 m 1.65 m Altura/10= 0.455 > 0.40 m Ok Largo= 0.7 x H= 3.185 > 3.00 m Ok Largo/3 1.00 Fuerza Brazo ME L*h*γ material Centro*Eje Caso= 1=> β= 0 1 1968 1.350 2656.8 Caso= 2=> β≠ 0 2 984 1.517 1492.4 Caso= 3=> S= 2000 k/m2 β= 0 CASO 3 3 3240 1.500 4860 Caso= 4=> 4 432 1.550 669.6 5 1440 0.625 900 6 787.2 1.583 1246.4 7 9840 2.633 25912 Total 18691.2 37737.2 Caso= 1=> β= 0 Fh h Y=h/3 Mv=Fh*Y Mv Ca*γ*s*h Ca= Fh= (Ca*γs*(h/2))= Y=h/3= Mv= Fh*Y= fs=ME/Mv= >2 Ok a= (ME-(fh*Y))/Fv= CASO 1 Rv=Fh= CASO 1 CASO 2 CASO 2 a>L/3 a=L/3 a<L/3 qmax qmax qmin=(Rv/L^2)*(6a-2L) qmax=2*Rv/L q=2*Rv/3*a qmax=(Rv/L^2)*(4L-6a) qmin=0 Fp=(Cp*γs*h)/2 μss=tg∅= Fpta=((q+qss)/2)*L*μss*B= FT=(qss/2)*L*μss*B= Fresist=Fp+Fpta+Ft= Fs=(Fresist/FH)> 1,5 Fuerza Brazo ME 0.40 m L*h*γ material Centro*Eje 0.80 m 0.20 m fs=ME/Mc= >2 a= (ME-(fh*Y))/Fv= Rv=Fh= qmin=(Rv/L^2)*(6a-2L) qmax=2*Rv/L q=2*Rv/3*a qmax=(Rv/L^2)*(4L-6a) qmin=0 Fpta=((q+qss)/2)*L*μss*B= FT=(qss/2)*L*μss*B= Fresist=Fp+Fpta+Ft= Fs=(Fresist/FH)> 1,5 Caso= 2=> β≠ 0 F Fh Fv Y=h/3 Ca= Fh= (Ca*γs*(h/2))= Y=h/3= Mv= Fh*Y= fs=ME/Mv= >2 a= (ME-(fh*Y))/Fv= Rv=Fh= CASO 1 CASO 2 CASO 2 a>L/3 a=L/3 a<L/3 qmax qmax qmin=(Rv/L^2)*(6a-2L) qmax=2*Rv/L q=2*Rv/3*a qmax=(Rv/L^2)*(4L-6a) qmin=0 Fp=(Cp*γs*h´)/2 μss=tg∅= Fpta=((q+qss)/2)*L*μss*B= FT=(qss/2)*L*μss*B= Fresist=Fp+Fpta+Ft= Fs=(Fresist/FH)> 1,5 Fuerza Brazo ME 0.40 m L*h*γ material Centro*Eje 0.80 m 0.20 m fs=ME/Mc= >2 Ok a= (ME-(fh*Y))/Fv= CASO 1 Rv=Fh= qmin=(Rv/L^2)*(6a-2L) qmax=2*Rv/L q=2*Rv/3*a qmax=(Rv/L^2)*(4L-6a) qmin=0 0 Fpta=((q+qss)/2)*L*μss*B= FT=(qss/2)*L*μss*B= Fresist=Fp+Fpta+Ft= Fs=(Fresist/FH)> 1,5 Ok Caso= 3=> S= 2000 k/m2 β= 0 CASO 3 h´ FH h Y Ca*γ*s*h h´=S/γs= 1.042 Ca= 0.33 Fh= (Ca*γs*(h+2*h´)*h)/2= 9561.552 Y=(h^2+(3*h*h´))/(3*(h+2*h´))= 1.755 Mv= Fh*Y= 16778.962 fs=ME/Mv= 2.249 >2 Ok a= (ME-(fh*Y))/Fv= 1.12 CASO 1 Rv=Fh= 18691.2 CASO 1 CASO 2 CASO 2 a>L/3 a=L/3 a<L/3 qmax qmax qmin=(Rv/L^2)*(6a-2L) 1.511 qmax=2*Rv/L q=2*Rv/3*a qmax=(Rv/L^2)*(4L-6a) 10.949 qmin=0 Fp=(Cp*γs*h´)/2 3000 μss=tg∅= 0.577 Fpta=((q+qss)/2)*L*μss*B= 108745.609738365 FT=(qss/2)*L*μss*B= 20324.9007225 Fresist=Fp+Fpta+Ft= 132070.510460865 Fs=(Fresist/FH)> 1,5 13.8126645612 Ok Fuerza Brazo ME 0.40 m L*h*γ material Centro*Eje 0.80 m 576 1.55 892.8 18835.2 37960.4 0.20 m fs=ME/Mc= >2 a= (ME-(fh*Y))/Fv= Rv=Fh= qmin=(Rv/L^2)*(6a-2L) qmax=2*Rv/L q=2*Rv/3*a qmax=(Rv/L^2)*(4L-6a) qmin=0 Fpta=((q+qss)/2)*L*μss*B= FT=(qss/2)*L*μss*B= Fresist=Fp+Fpta+Ft= Fs=(Fresist/FH)> 1,5 Caso= 4=> h0 Ca*(γw+γs)*ho Ca*γ*s*ho NF SI(A8=0;(SI(F8=0;C57;SI((H34=0);(SI(A8>0;C112;(SI(F8>0,(SI(A8=0,C170,"")),"")));"")));"") SI(A8=0,(SI(F8=0,"CASO 1","")),"") + hw SI((H34=0),(SI(A8>0,"CASO 2","")),"") SI(F8>0,(SI(A8=0,"CASO 3","")),"") Ca*(γw+γs)*h γw*h h=ho+hw MURO As sup 0.20 m FH= 18,691.200 h= 40.0 cm Designacion Φ en pulg Φ en cm Area en cm2 Y= 1.755 h= 20.0 cm 3 ⅜" 0.95 0.71 Mu= 45920.005 B= 100.0 cm 4 ⅟₂" 1.27 1.27 recub inf= 7.5 cm 5 ⅝" 1.59 1.98 R= 0.193 recub sup= 5.0 cm 6 ₃⁄₄" 1.93 2.85 q= 0.222 0.40 m Mu 7 ⅞" 2.22 3.88 As min= 10.833 cm As inf 8 ₁" 2.54 5.07 As= 43.002 cm 11 ₁⅜" 3.58 10.07 Φ en pulg Φ en cm Area en cm2 Area de As= 25.87 cm ⅞" 2.22 3.88 N° barras= 7 Barras ⅞" 1 Φ ⅞" L1 @ 30 1 Φ ⅞" L2 @ 30 a= 2.556 Tu= 54320 Φ Mn= 15263.7538 Φ Mn= 5486.1538 0 5486.1538 0.325 Max= 0.325 0.266 L= 4.975 4.10 m 3.062 L= 3.937 2.74 m 4.10 m 45920.005 15263.7538 0.45 m 0.60 m As h= Altura de 40 cm 7.2 Φ en pulg Φ en cm Area en cm2 As h= 8 Barras ⅟₂" As v= Altura de 40 cm 4.8 ⅟₂" 1.27 1.27 As v= 8 Barras ⅟₂" As h= Altura de 20 cm 3.6 As v= Altura de 20 cm 2.4 PUNTA Mu= 6830.797 R= 0.022 0.45 m q= 0.022 As min= 12.500 cm 135 As= 49.617 cm Φ en pulg Φ en cm Area en cm2 Area de As= 6.35 cm ⅟₂" 1.27 1.27 N° barras= 5 Barras ⅟₂" TALON Pu= 16768.08 Mu= 10468.0291666667 0.45 m R= 0.033 q= 0.034 1.25 m As min= 12.500 cm As= 7.534 cm Φ en pulg Φ en cm Area en cm2 Area de As= 8.47 cm ⅟₂" 1.27 1.27 N° barras= 7 Barras ⅟₂" As temp Muro 5.85 N° barras= 5 Barras ⅟₂" 2.25 N° barras= 2 Barras ⅟₂" Talon=Pta= 6.75 N° barras= 5 Barras ⅟₂" fY= 25 Chequeo Vc= 8.380 Muro Vu= 9.472 < 8.380 No, Rediseñar-Muro Punta Vu= 0.843 < 8.380 OK Talon Vu= 4.417 < 8.380 OK FH Y h´ mailto:L1@30mailto:L1@30 Hoja2 Hoja3
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