EVALUACION DEL NIDO DE CICLONES D-108' X 10' - IAlimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-)20 850 37.96 9.49 9.49 90.51 43.54 10.89 10.89 89.12 0.75 0.19 0.19 99.8135 500 78.12 19.53 29.02 70.98 89.26 22.32 33.20 66.80 7.87 1.97 2.16 97.8550 300 51.00 12.75 41.77 58.23 63.66 15.92 49.12 50.89 12.51 3.13 5.28 94.7270 212 52.60 13.15 54.92 45.08 61.69 15.42 64.54 35.46 23.20 5.80 11.08 88.92100 150 47.84 11.96 66.88 33.12 51.84 12.96 77.50 22.50 32.06 8.02 19.10 80.90140 105 26.00 6.50 73.38 26.62 27.46 6.87 84.36 15.64 33.36 8.34 27.44 72.56200 75 17.64 4.41 77.79 22.21 15.13 3.78 88.15 11.86 30.88 7.72 35.16 64.84270 53 9.56 2.39 80.18 19.82 7.00 1.75 89.90 10.11 23.35 5.84 41.00 59.01325 45 4.12 1.03 81.21 18.79 2.57 0.64 90.54 9.46 12.10 3.03 44.02 55.98400 37 2.68 0.67 81.88 18.12 1.50 0.38 90.91 9.09 8.90 2.23 46.25 53.76-400 72.48 18.12 100 0 36.35 9.09 100.00 0 215.02 53.76 100 0400 100 400 100 400 100CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )TABLADE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA20 850 850.00 9.49 0.19 10.89 6.67 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r )Sk35 500 651.92 19.53 1.97 22.32 6.31 20 850.00 9.23 0.23 11.10 0.045250 300 387.30 12.75 3.13 15.92 3.04 35 651.92 19.11 2.04 22.66 0.072770 212 252.19 13.15 5.80 15.42 3.23 50 387.30 13.31 3.03 15.45 -0.0966100 150 178.33 11.96 8.02 12.96 3.95 70 252.19 13.51 5.74 15.13 -0.0617140 105 125.50 6.50 8.34 6.87 -5.04 100 178.33 12.05 8.00 12.89 -0.0148200 75 88.74 4.41 7.72 3.78 5.27 140 125.50 6.86 8.28 6.57 -0.0623270 53 63.05 2.39 5.84 1.75 5.39 200 88.74 4.44 7.71 3.76 -0.0052325 45 48.84 1.03 3.03 0.64 5.15 270 63.05 2.43 5.83 1.72 -0.0065400 37 40.80 0.67 2.23 0.38 5.27 325 48.84 1.04 3.02 0.63 -0.0023-400 0 18.50 18.12 53.76 9.09 3.95 400 40.80 0.68 2.22 0.36 -0.0024100 100 100 -400 18.50 17.34 53.89 9.73 0.1339suma 100 46.11 100 0Del grafico obtenemos el valor de Jr minimo:Jr min = 2.455CC = D/R = r= 4.8000 2 4 6 8 10 12050100150200250300350D/F = 0.828R/F = 0.172CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE % PesoMALLA ABERTURAABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2(alim - under) x ( over - under)20 850 0.00 9.49 0.19 10.89 6.67 -1.40 -10.70 114.44 14.9235 500 651.92 19.53 1.97 22.32 6.31 -2.79 -20.35 414.02 56.6750 300 387.30 12.75 3.13 15.92 3.04 -3.17 -12.79 163.52 40.4770 212 252.19 13.15 5.80 15.42 3.23 -2.27 -9.62 92.59 21.87100 150 178.33 11.96 8.02 12.96 3.95 -1.00 -4.95 24.45 4.95140 105 125.50 6.50 8.34 6.87 -5.04 -0.37 1.48 2.18 -0.54200 75 88.74 4.41 7.72 3.78 5.27 0.63 3.94 15.50 2.47270 53 63.05 2.39 5.84 1.75 5.39 0.64 4.09 16.71 2.62325 45 48.84 1.03 3.03 0.64 5.15 0.39 2.38 5.68 0.92400 37 40.80 0.67 2.23 0.38 5.27 0.30 1.85 3.42 0.55-400 18.12 53.76 9.09 3.95 9.03 44.67 1995.19 403.46100.00 100.00 100.00 2847.69 548.35AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r(malla)i Alim over under Alfa= 0.19850 0.00 0.66 0.39 0.39 -0.08 -0.32500 651.92 1.13 0.67 0.67 -0.13 -0.54 F =1 U = 0.8074300 387.30 -0.70 -0.42 -0.42 0.08 0.34 O = 0.1926212 252.19 -0.42 -0.25 -0.25 0.05 0.20212 252.19 -0.05 -0.03 -0.03 0.01 0.02 U / O=4.19150 178.33 -0.65 -0.38 -0.38 0.07 0.31105 125.50 -0.13 -0.08 -0.08 0.01 0.0675 88.74 -0.15 -0.09 -0.09 0.02 0.07 r = f -alfa *o- (1-alfa )*u53 63.05 -0.07 -0.04 -0.04 0.01 0.03 h =3.1845 48.84 -0.06 -0.04 -0.04 0.01 0.0337 40.80 0.43 0.26 0.26 -0.05 -0.21ANALISIS DE MALLA CORREGIDAABERTURAABERTURA Alimento Rebose Descarga CC = D/R0 2 4 6 8 10 12050100150200250300350850 0.00 9.10 0.26 11.20 4.19500 651.92 18.86 2.10 22.86 4.19300 387.30 13.17 3.05 15.58 4.19212 252.19 13.40 5.75 15.22 4.19212 252.19 11.99 8.01 12.94 4.19150 178.33 6.88 8.27 6.55 4.19105 125.50 4.49 7.71 3.72 4.1975 88.74 2.48 5.82 1.68 4.1953 63.05 1.07 3.02 0.61 4.1945 48.84 0.71 2.22 0.35 4.1937 40.80 17.86 53.80 9.29 4.19CURVA DE PARTICION CORREGIDADATOS: LOS % DE SOLIDOS%SF=70.73 AGUA EN LA DESCARGA=P%SR = 46.20 AGUA EN EL ALIMENTO P= 0.5192%SD = 79.39ECUACION DE LA CURVA DE PARTICION CORREGIDA :TABLA DE PARTICION CORREGIDA Y XMALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)20 850.00 99.57 99.10 0.43 96.03 0.67 2.9335 651.92 98.16 96.17 1.84 93.87 0.51 2.8150 387.30 96.07 91.83 3.93 87.79 0.40 2.5970 252.19 92.68 84.77 7.32 81.07 0.27 2.40100 178.33 88.55 76.19 11.45 74.80 0.16 2.25140 125.50 79.20 56.74 20.80 67.96 -0.08 2.10200 88.74 70.04 37.69 29.96 61.03 -0.33 1.95270 63.05 58.59 13.88 41.41 54.27 -0.83 1.80325 48.84 50.06 -3.86 49.94 49.37 0.00 1.69400 40.80 43.97 -16.52 56.03 46.06 0.00 1.61-400 18.50 46.43 -11.41 53.57 33.05 0.00 1.27Log(ln(1/(1-ED(x)c))mDdxE]]]

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.| 506931 . 0 exp 100 100( )( ) x Log mdLogyLn Logm*6931 . 01 150+]]]]

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+ mdLog am bbx a y506931 . 01.00 1.50 2.00 2.50 3.00 3.50-1.00-0.80-0.60-0.40-0.200.000.200.400.600.80f(x) = 0.54x - 1.09R = 0.48LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]Del grafico obtenemos los sgtes datos:m=b 0.545a= -1.087d50 corr =50.4811.00 1.50 2.00 2.50 3.00 3.50-1.00-0.80-0.60-0.40-0.200.000.200.400.600.80f(x) = 0.54x - 1.09R = 0.48LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]10.00 100.00 1000.00-20-100102030405060708090100CURVA DE PARTICIONColumn FColumn GColumn IABERTURAED(X)30 50 70 90 110 130 150 170 190 210 230 250 270 2900102030405060708090100CURVA TROMPColumn FColumn HaberturaED(x)d50 = 49.00d50Corr = 50.48d50Calc = 67.75EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGAMALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 9.23 90.77 9.23 0.23 99.77 0.23 11.10 88.90 11.1035 652 19.11 71.66 28.34 2.04 97.73 2.27 22.66 66.23 33.7750 387 13.31 58.35 41.65 3.03 94.70 5.30 15.45 50.78 49.2270 252 13.51 44.85 55.15 5.74 88.96 11.04 15.13 35.66 64.34100 178 12.05 32.80 67.20 8.00 80.96 19.04 12.89 22.77 77.23140 125 6.86 25.94 74.06 8.28 72.68 27.32 6.57 16.20 83.80200 89 4.44 21.50 78.50 7.71 64.97 35.03 3.76 12.44 87.56270 63 2.43 19.07 80.93 5.83 59.13 40.87 1.72 10.72 89.28325 49 1.04 18.03 81.97 3.02 56.11 43.89 0.63 10.09 89.91400 41 0.68 17.34 82.66 2.22 53.89 46.11 0.36 9.73 90.27-400 19 17.34 0.00 100.00 53.89 0.00 100.00 9.73 0.00 100.00100.00 100.0030 50 70 90 110 130 150 170 190 210 230 250 270 2900102030405060708090100CURVA TROMPColumn FColumn HaberturaED(x)30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.0010.0020.0030.0040.0050.0060.0070.0080.0090.00100.00Curvas de G - G - SColumn FColumn IColumn Labertura%Acum. Pasante d50 = 49.00 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.537fF(d50) = 18.03 n2 = 0.908fD(d50) = 10.09 n=48.71fR(d50) = 56.1130 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.0010.0020.0030.0040.0050.0060.0070.0080.0090.00100.00Curvas de G - G - SColumn FColumn IColumn Labertura%Acum. PasanteEVALUACION DEL NIDO DE CICLONES D-108' X 10' - IIAlimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-)20 850 37.96 9.49 9.49 90.51 54.59 13.65 13.65 86.35 1.06 0.27 0.27 99.7435 500 78.12 19.53 29.02 70.98 92.83 23.21 36.86 63.15 9.74 2.44 2.70 97.3050 300 51.00 12.75 41.77 58.23 60.94 15.24 52.09 47.91 13.19 3.30 6.00 94.0070 212 52.60 13.15 54.92 45.08 60.13 15.03 67.12 32.88 24.19 6.05 12.05 87.96100 150 47.84 11.96 66.88 33.12 48.27 12.07 79.19 20.81 32.24 8.06 20.11 79.90140 105 26.00 6.50 73.38 26.62 25.04 6.26 85.45 14.55 32.01 8.00 28.11 71.89200 75 17.64 4.41 77.79 22.21 13.76 3.44 88.89 11.11 31.08 7.77 35.88 64.12270 53 9.56 2.39 80.18 19.82 6.68 1.67 90.56 9.44 22.55 5.64 41.52 58.49325 45 4.12 1.03 81.21 18.79 2.41 0.60 91.16 8.84 12.03 3.01 44.52 55.48400 37 2.68 0.67 81.88 18.12 1.37 0.34 91.51 8.50 9.12 2.28 46.80 53.20-400 72.48 18.12 100 0 33.98 8.50 100.00 0 212.79 53.20 100 0400 100 400 100 400 100CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )TABLADE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA20 850 850.00 9.49 0.27 13.65 2.22 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r )Sk35 500 651.92 19.53 2.44 23.21 4.65 20 850.00 10.13 0.12 13.16 -0.148050 300 387.30 12.75 3.30 15.24 3.80 35 651.92 18.83 2.60 23.75 0.163270 212 252.19 13.15 6.05 15.03 3.77 50 387.30 12.57 3.34 15.37 0.0412100 150 178.33 11.96 8.06 12.07 36.28 70 252.19 13.02 6.08 15.13 0.0293140 105 125.50 6.50 8.00 6.26 6.26 100 178.33 11.46 8.18 12.45 0.1167200 75 88.74 4.41 7.77 3.44 3.46 140 125.50 6.60 7.98 6.18 -0.0234270 53 63.05 2.39 5.64 1.67 4.51 200 88.74 4.43 7.76 3.42 -0.0052325 45 48.84 1.03 3.01 0.60 4.63 270 63.05 2.51 5.61 1.58 -0.0287400 37 40.80 0.67 2.28 0.34 4.92 325 48.84 1.11 2.99 0.54 -0.0187-400 0 18.50 18.12 53.20 8.50 3.64 400 40.80 0.74 2.26 0.29 -0.0174100 100 100 -400 18.50 18.59 53.09 8.13 -0.1091suma 100 46.91 100 0Del grafico obtenemos el valor de Jr minimo:Jr min = 2.390CC = D/R = r= 3.30D/F = 0.7670 2 4 6 8 10 12050100150200250300350R/F = 0.233CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE% PesoMALLA ABERTURAABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2(alim - under) x ( over - under)20 850 0.00 9.49 0.27 13.65 2.22 -4.16 -13.38 179.09 55.63835 500 651.92 19.53 2.44 23.21 4.65 -3.68 -20.77 431.50 76.39150 300 387.30 12.75 3.30 15.24 3.80 -2.49 -11.94 142.50 29.66570 212 252.19 13.15 6.05 15.03 3.77 -1.88 -8.99 80.73 16.914100 150 178.33 11.96 8.06 12.07 36.28 -0.11 -4.01 16.06 0.431140 105 125.50 6.50 8.00 6.26 6.26 0.24 1.74 3.04 0.418200 75 88.74 4.41 7.77 3.44 3.46 0.97 4.33 18.75 4.200270 53 63.05 2.39 5.64 1.67 4.51 0.72 3.97 15.74 2.857325 45 48.84 1.03 3.01 0.60 4.63 0.43 2.41 5.78 1.028400 37 40.80 0.67 2.28 0.34 4.92 0.33 1.94 3.75 0.635-400 18.12 53.20 8.50 3.64 9.63 44.70 1998.31 430.262100.00 100.00 100.00 2895.26 618.438AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r(malla)i Alim over under Alfa= 0.2136850 0.00 -1.30 -0.78 -0.78 0.17 0.61500 651.92 0.76 0.46 0.46 -0.10 -0.36 F =1 U = 0.7864300 387.30 0.06 0.04 0.04 -0.01 -0.03 O = 0.2136212 252.19 0.04 0.02 0.02 0.00 -0.02212 252.19 0.75 0.45 0.45 -0.10 -0.35 U / O=3.6816150 178.33 -0.13 -0.08 -0.08 0.02 0.06105 125.50 0.05 0.03 0.03 -0.01 -0.0275 88.74 -0.13 -0.08 -0.08 0.02 0.06 r = f -alfa *o- (1-alfa )*u53 63.05 -0.09 -0.05 -0.05 0.01 0.04 h =1.6645 48.84 -0.09 -0.05 -0.05 0.01 0.0437 40.80 0.08 0.05 0.05 -0.01 -0.04ANALISIS DE MALLA CORREGIDAABERTURAABERTURA Alimento Rebose Descarga CC = D/R850 0.00 10.27 0.10 13.03 3.680 2 4 6 8 10 12050100150200250300350500 651.92 19.07 2.53 23.57 3.68300 387.30 12.71 3.31 15.27 3.68212 252.19 13.13 6.05 15.05 3.68212 252.19 11.51 8.16 12.42 3.68150 178.33 6.58 7.99 6.20 3.68105 125.50 4.38 7.78 3.46 3.6875 88.74 2.47 5.62 1.61 3.6853 63.05 1.08 3.00 0.56 3.6845 48.84 0.72 2.27 0.30 3.6837 40.80 18.07 53.21 8.53 3.68CURVA DE PARTICION CORREGIDADATOS: LOS % DE SOLIDOS%SF=70.73 AGUA EN LA DESCARGA=P%SR = 48.14 AGUA EN EL ALIMENTO P= 0.4891%SD = 79.13ECUACION DE LA CURVA DE PARTICION CORREGIDA :TABLA DE PARTICION CORREGIDA Y XMALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)20 850.00 99.73 99.57 0.27 95.64 0.74 2.9335 651.92 96.79 94.86 3.21 93.40 0.47 2.8150 387.30 93.82 90.10 6.18 87.22 0.36 2.5970 252.19 89.15 82.61 10.85 80.52 0.24 2.40100 178.33 83.40 73.41 16.60 74.31 0.12 2.25140 125.50 71.89 54.95 28.11 67.58 -0.10 2.10200 88.74 59.26 34.72 40.74 60.77 -0.37 1.95270 63.05 48.10 16.84 51.90 54.13 -0.73 1.80325 48.84 37.39 -0.32 62.61 49.34 0.00 1.69400 40.80 29.36 -13.18 70.64 46.08 0.00 1.61-400 18.50 33.58 -6.42 66.42 33.28 0.00 1.27Log(ln(1/(1-ED(x)c))mDdxE]]]

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.| 506931 . 0 exp 100 100( )( ) x Log mdLogyLn Logm*6931 . 01 150+]]]]

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+ mdLog am bbx a y506931 . 01.00 1.50 2.00 2.50 3.00 3.50-1.00-0.80-0.60-0.40-0.200.000.200.400.600.801.00f(x) = 0.53x - 1.07R = 0.49LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]Del grafico obtenemos los sgtes datos:m = b = 0.535a = -1.071d50 corr =50.6191.00 1.50 2.00 2.50 3.00 3.50-1.00-0.80-0.60-0.40-0.200.000.200.400.600.801.00f(x) = 0.53x - 1.07R = 0.49LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]10 100 1000-20-100102030405060708090100CURVA DE PARTICIONColumn FColumn GColumn IABERTURAED(X)30 50 70 90 110 130 150 170 190 210 230 250 270 290102030405060708090CURVA TROMPColumn HColumn FaberturaED(x)d50 = 67.00d50Corr = 50.62d50Calc = 67.47EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGAMALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 10.13 89.87 10.13 0.12 99.88 0.12 13.16 86.84 13.1635 652 18.83 71.05 28.95 2.60 97.28 2.72 23.75 63.09 36.9150 387 12.57 58.47 41.53 3.34 93.95 6.05 15.37 47.72 52.2870 252 13.02 45.45 54.55 6.08 87.87 12.13 15.13 32.59 67.41100 178 11.46 33.99 66.01 8.18 79.69 20.31 12.45 20.14 79.86140 125 6.60 27.39 72.61 7.98 71.71 28.29 6.18 13.96 86.04200 89 4.43 22.96 77.04 7.76 63.95 36.05 3.42 10.54 89.46270 63 2.51 20.44 79.56 5.61 58.34 41.66 1.58 8.96 91.04325 49 1.11 19.33 80.67 2.99 55.35 44.65 0.54 8.42 91.58400 41 0.74 18.59 81.41 2.26 53.09 46.91 0.29 8.13 91.87-400 19 18.59 0.00 100.00 53.09 0.00 100.00 8.13 0.00 100.00100.00 100.00 100.0030 50 70 90 110 130 150 170 190 210 230 250 270 290102030405060708090CURVA TROMPColumn HColumn FaberturaED(x)30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000102030405060708090100Curvas de G - G - SColumn FColumn LColumn Iabertura%Acum. Pasanted50 = 67.00 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.667fF(d50) = 20.9 n2 = 0.881fD(d50) = 9.20 n=58.72fR(d50) = 59.930 35 40 45 50 55 60 65 70 75 80 85 90 95 1000102030405060708090100Curvas de G - G - SColumn FColumn LColumn Iabertura%Acum. PasanteEVALUACION DEL NIDO DE CICLONES D-108' X 10' - IIIAlimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+)20 850 37.96 9.49 9.49 90.51 48.26 12.07 12.07 87.94 0.90 0.23 0.2335 500 78.12 19.53 29.02 70.98 90.77 22.69 34.76 65.24 9.29 2.32 2.5550 300 51.00 12.75 41.77 58.23 60.38 15.10 49.85 50.15 14.45 3.61 6.1670 212 52.60 13.15 54.92 45.08 61.39 15.35 65.20 34.80 32.92 8.23 14.39100 150 47.84 11.96 66.88 33.12 51.24 12.81 78.01 21.99 39.60 9.90 24.29140 105 26.00 6.50 73.38 26.62 26.23 6.56 84.57 15.43 36.89 9.22 33.51200 75 17.64 4.41 77.79 22.21 14.27 3.57 88.14 11.87 28.38 7.10 40.61270 53 9.56 2.39 80.18 19.82 7.16 1.79 89.93 10.08 17.79 4.45 45.06325 45 4.12 1.03 81.21 18.79 2.36 0.59 90.52 9.49 15.17 3.79 48.85400 37 2.68 0.67 81.88 18.12 1.34 0.34 90.85 9.15 9.17 2.29 51.14-400 72.48 18.12 100 0 36.60 9.15 100.00 0 195.44 48.86 100400 100 400 100 400 100CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )TABLADE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA20 850 850.00 9.49 0.23 12.07 3.60 MALLA ABERTURA fF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r ) 35 500 651.92 19.53 2.32 22.69 5.44 20 850.00 9.38 0.25 12.1550 300 387.30 12.75 3.61 15.10 3.90 35 651.92 18.57 2.55 23.4370 212 252.19 13.15 8.23 15.35 2.24 50 387.30 12.55 3.66 15.25100 150 150.00 11.96 9.90 12.81 2.42 70 252.19 13.48 8.15 15.09140 105 125.50 6.50 9.22 6.56 -47.35 100 150.00 12.07 9.88 12.73200 75 88.74 4.41 7.10 3.57 3.19 140 125.50 6.91 9.13 6.24270 53 63.05 2.39 4.45 1.79 3.43 200 88.74 4.40 7.10 3.58325 45 48.84 1.03 3.79 0.59 6.28 270 63.05 2.40 4.44 1.78400 37 40.80 0.67 2.29 0.34 4.84 325 48.84 1.22 3.75 0.45-400 0 18.50 18.12 48.86 9.15 3.43 400 40.80 0.74 2.28 0.28100 100 100 -400 18.50 18.28 48.82 9.03suma 100 51.18 100Del grafico obtenemos el valor de Jr minimo:Jr min = 2.178CC = D/R = r= 3.3000 2 4 6 8 10 12050100150200250300350D/F = 0.767R/F = 0.233CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE% PesoMALLA ABERTURAABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2 (alim - under) x ( over - under)20 850 0.00 9.49 0.23 12.07 3.60 -2.58 -11.84 140.19 30.4935 500 651.92 19.53 2.32 22.69 5.44 -3.16 -20.37 414.94 64.4250 300 387.30 12.75 3.61 15.10 3.90 -2.35 -11.48 131.85 26.9370 212 252.19 13.15 8.23 15.35 2.24 -2.20 -7.12 50.66 15.64100 150 178.33 11.96 9.90 12.81 2.42 -0.85 -2.91 8.47 2.47140 105 125.50 6.50 9.22 6.56 -47.35 -0.06 2.67 7.10 -0.15200 75 88.74 4.41 7.10 3.57 3.19 0.84 3.53 12.44 2.97270 53 63.05 2.39 4.45 1.79 3.43 0.60 2.66 7.06 1.6325 45 48.84 1.03 3.79 0.59 6.28 0.44 3.20 10.26 1.41400 37 40.80 0.67 2.29 0.34 4.84 0.34 1.96 3.83 0.66-400 18.12 48.86 9.15 3.43 8.97 39.71 1576.88 356.2100.00 100.00 100.00 2363.68 502.63AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r(malla)i Alim over under Alfa= 0.2126850 0.00 -0.06 -0.03 -0.03 0.01 0.03500 651.92 1.17 0.70 0.70 -0.15 -0.55 F =1 U =300 387.30 0.10 0.06 0.06 -0.01 -0.05 O =212 252.19 -0.68 -0.41 -0.41 0.09 0.32212 252.19 -0.23 -0.14 -0.14 0.03 0.11 U / O=3.7027150 178.33 -0.62 -0.37 -0.37 0.08 0.30105 125.50 0.09 0.06 0.06 -0.01 -0.0475 88.74 0.03 0.02 0.02 0.00 -0.02 r = f -alfa *o- (1-alfa )*u53 63.05 -0.24 -0.14 -0.14 0.03 0.11 h =1.6745 48.84 -0.08 -0.05 -0.05 0.01 0.0437 40.80 0.53 0.32 0.32 -0.07 -0.25ANALISIS DE MALLA CORREGIDAABERTURA ABERTURA Alimento Rebose Descarga CC = D/R0 2 4 6 8 10 12050100150200250300350850 0.00 9.52 0.22 12.04 3.70500 651.92 18.83 2.47 23.25 3.70300 387.30 12.69 3.62 15.14 3.70212 252.19 13.56 8.14 15.02 3.70212 252.19 12.10 9.87 12.70 3.70150 178.33 6.87 9.14 6.26 3.70105 125.50 4.35 7.11 3.61 3.7075 88.74 2.37 4.45 1.81 3.7053 63.05 1.17 3.76 0.48 3.7045 48.84 0.72 2.28 0.30 3.7037 40.80 17.80 48.93 9.40 3.70CURVA DE PARTICION CORREGIDADATOS: LOS % DE SOLIDOS%SF=70.73 AGUA EN LA DESCARGA=P%SR = 49.08 AGUA EN EL ALIMENTO P= 0.4930%SD = 79.00ECUACION DE LA CURVA DE PARTICION CORREGIDA :TABLA DE PARTICION CORREGIDA Y XMALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)20 850.00 99.38 98.78 0.62 91.25 0.64 2.9335 651.92 96.81 93.71 3.19 88.22 0.44 2.8150 387.30 93.22 86.63 6.78 80.91 0.30 2.5970 252.19 85.93 72.26 14.07 73.84 0.11 2.40100 150.00 80.97 62.46 19.03 64.62 -0.01 2.18140 125.50 69.29 39.44 30.71 61.40 -0.30 2.10200 88.74 62.45 25.95 37.55 55.19 -0.52 1.95270 63.05 56.95 15.09 43.05 49.27 -0.79 1.80325 48.84 28.26 -41.48 71.74 45.05 0.00 1.69400 40.80 28.79 -40.44 71.21 42.19 0.00 1.61-400 18.50 37.89 -22.49 62.11 31.04 0.00 1.27Log(ln(1/(1-ED(x)c))mDdxE]]]

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.| 506931 . 0 exp 100 100( )( ) x Log mdLogyLn Logm*6931 . 01 150+]]]]

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+ mdLog am bbx a y506931 . 01.00 1.50 2.00 2.50 3.00 3.50-1.00-0.80-0.60-0.40-0.200.000.200.400.600.80f(x) = 0.49x - 1.05R = 0.39LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]Del grafico obtenemos los sgtes datos:m=b 0.491a= -1.053d50 corr =65.8001.00 1.50 2.00 2.50 3.00 3.50-1.00-0.80-0.60-0.40-0.200.000.200.400.600.80f(x) = 0.49x - 1.05R = 0.39LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]10.00 100.00 1000.00-50-40-30-20-100102030405060708090100CURVA DE PARTICIONColumn FColumn GColumn IABERTURAED(X)30 50 70 90 110 130 150 170 190 210 230 250 270 2900102030405060708090100CURVA TROMPColumn FColumn HaberturaED(x)d50 = 58.10d50Corr = 65.80d50Calc = 62.09EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGAMALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 9.38 90.62 9.38 0.25 99.75 0.25 12.15 87.85 12.1535 652 18.57 72.05 27.95 2.55 97.20 2.80 23.43 64.42 35.5850 387 12.55 59.50 40.50 3.66 93.55 6.45 15.25 49.18 50.8270 252 13.48 46.02 53.98 8.15 85.39 14.61 15.09 34.08 65.92100 150 12.07 33.95 66.05 9.88 75.52 24.48 12.73 21.35 78.65140 125 6.91 27.04 72.96 9.13 66.39 33.61 6.24 15.11 84.89200 89 4.40 22.64 77.36 7.10 59.29 40.71 3.58 11.53 88.47270 63 2.40 20.24 79.76 4.44 54.85 45.15 1.78 9.75 90.25325 49 1.22 19.02 80.98 3.75 51.10 48.90 0.45 9.31 90.69400 41 0.74 18.28 81.72 2.28 48.82 51.18 0.28 9.03 90.97-400 19 18.28 0.00 100.00 48.82 0.00 100.00 9.03 0.00 100.00100.00 100.0030 50 70 90 110 130 150 170 190 210 230 250 270 2900102030405060708090100CURVA TROMPColumn FColumn HaberturaED(x)d50 = 58.10 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.631fF(d50) = 20.00 n2 = 0.873fD(d50) = 9.00 n= 55.12fR(d50) = 54.3030 35 40 45 50 55 60 65 70 75 80 85 90 95 1000102030405060708090100Curvas de G - G - SColumn FColumn LColumn Iabertura%Acum. PasanteEVALUACION DEL NIDO DE CICLONES D-108' X 10' - IIIRebose (o)F(X) (-)99.7897.4593.8485.6175.7166.4959.3954.9551.1548.860CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )TABLA CORREGIDASk0.02530.22290.0461-0.0768-0.0245-0.09590.0031-0.0026-0.0431-0.0170-0.03750CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE(alim - under) x ( over - under)30.4964.4226.9315.642.47-0.152.971.61.410.66356.2502.630.78740.2126r = f -alfa *o- (1-alfa )*u1.67CURVA DE PARTICION CORREGIDAEVALUACION DEL NIDO DE CICLONES D-108' X 8'Alimento (F) Descarga (U) Rebose (o)Abertura Malla Peso %Peso G (X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-) Peso %Peso G(X) (+) F(X) (-)20 850 13.00 3.25 3.25 96.75 35.99 9.00 9.00 91.00 0.25 0.06 0.06 99.9435 500 38.69 9.67 12.92 87.08 59.21 14.80 23.80 76.20 1.99 0.50 0.56 99.4450 300 40.55 10.14 23.06 76.94 47.15 11.79 35.59 64.41 3.43 0.86 1.42 98.5870 212 57.52 14.38 37.44 62.56 62.73 15.68 51.27 48.73 13.35 3.34 4.76 95.25100 150 73.53 18.38 55.82 44.18 70.82 17.71 68.98 31.03 25.97 6.49 11.25 88.75140 105 55.06 13.77 69.59 30.41 48.89 12.22 81.20 18.80 31.95 7.99 19.24 80.77200 75 34.68 8.67 78.26 21.74 27.53 6.88 88.08 11.92 33.15 8.29 27.52 72.48270 53 15.31 3.83 82.09 17.92 11.33 2.83 90.91 9.09 25.63 6.41 33.93 66.07325 45 5.13 1.28 83.37 16.63 3.59 0.90 91.81 8.19 12.60 3.15 37.08 62.92400 37 3.81 0.95 84.32 15.68 2.54 0.64 92.45 7.56 10.78 2.70 39.78 60.23-400 62.72 15.68 100 0 30.22 7.56 100.00 0 240.90 60.23 100 0400 100 400 100 400 100CORRECCION DEL ANALISIS GRANULOMETRICO ( METODO DE LOS MINIMOS CUADRADOS )TABLADE DATOSMALLA ABERTURA ABERTURA fF(x) fR(x) fD(x) CC = D/R TABLA CORREGIDA20 850 850.00 3.25 0.06 9.00 0.55 MALLA ABERTURAfF(x)+Sk(-r-1) fR(x)+ Sk fD(x)+Sk* ( r )Sk35 500 651.92 9.67 0.50 14.80 1.79 20 850.00 5.73 -0.35 6.93 -0.409450 300 387.30 10.14 0.86 11.79 5.62 35 651.92 11.28 0.23 13.46 -0.265170 212 252.19 14.38 3.34 15.68 8.48 50 387.30 10.05 0.87 11.86 0.0150100 150 178.33 18.38 6.49 17.71 -17.55 70 252.19 13.95 3.41 16.04 0.0708140 105 125.50 13.77 7.99 12.22 -3.75 100 178.33 16.91 6.74 18.93 0.2426200 75 88.74 8.67 8.29 6.88 -0.21 140 125.50 12.46 8.20 13.31 0.2150270 53 63.05 3.83 6.41 2.83 2.59 200 88.74 7.77 8.44 7.64 0.1491325 45 48.84 1.28 3.15 0.90 4.85 270 63.05 3.59 6.45 3.03 0.0387400 37 40.80 0.95 2.70 0.64 5.49 325 48.84 1.28 3.15 0.90 0.0012-400 0 18.50 15.68 60.23 7.56 5.48 400 40.80 0.97 2.69 0.62 -0.0022100 100 100 -400 18.50 16.02 60.17 7.27 -0.0557suma 100 39.83 100 0Del grafico obtenemos el valor de Jr minimo:Jr min = 23.671CC = D/R = r= 5.050D/F = 0.8350 2 4 6 8 10 12050100150200250300350R/F = 0.165CALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE% PesoMALLA ABERTURAABERTURA Alimento OVER UNDER PCC Alim - under over - under (over - under)2 (alim - under) x ( over - under)20 850 0.00 9.49 0.06 9.00 -19.14 0.49 -8.94 79.83 -4.435 500 651.92 19.53 0.50 14.80 -4.03 4.73 -14.31 204.63 -67.6350 300 387.30 12.75 0.86 11.79 -12.36 0.96 -10.93 119.46 -10.5270 212 252.19 13.15 3.34 15.68 3.87 -2.53 -12.35 152.40 31.26100 150 178.33 11.96 6.49 17.71 0.95 -5.75 -11.21 125.72 64.42140 105 125.50 6.50 7.99 12.22 -0.26 -5.72 -4.24 17.94 24.23200 75 88.74 4.41 8.29 6.88 -1.57 -2.47 1.41 1.97 -3.47270 53 63.05 2.39 6.41 2.83 -9.08 -0.44 3.58 12.78 -1.58325 45 48.84 1.03 3.15 0.90 16.00 0.13 2.25 5.07 0.3400 37 40.80 0.67 2.70 0.64 57.86 0.04 2.06 4.24 0.07-400 18.12 60.23 7.56 3.99 10.57 52.67 2774.13 556.46100.00 100.00 100.00 3498.19 589.14AJUSTE DE DATOS POR MULTIPLICADORES DE LAGRANGEMALLA ABERTURA r(malla)i Alim over under Alfa= 0.1684850 0.00 2.00 1.16 1.16 -0.20 -0.97500 651.92 7.14 4.15 4.15 -0.70 -3.45 F =1 U = 0.8316300 387.30 2.80 1.63 1.63 -0.27 -1.36 O = 0.1684212 252.19 -0.45 -0.26 -0.26 0.04 0.22212 252.19 -3.86 -2.24 -2.24 0.38 1.86 U / O=4.9378150 178.33 -5.01 -2.91 -2.91 0.49 2.42105 125.50 -2.71 -1.58 -1.58 0.27 1.3175 88.74 -1.04 -0.61 -0.61 0.10 0.51 r = f -alfa *o- (1-alfa )*u53 63.05 -0.25 -0.14 -0.14 0.02 0.12 h =1.7245 48.84 -0.31 -0.18 -0.18 0.03 0.1537 40.80 1.69 0.99 0.99 -0.17 -0.82ANALISIS DE MALLA CORREGIDAABERTURAABERTURA Alimento Rebose Descarga CC = D/R850 0.00 8.33 0.26 9.96 4.94500 651.92 15.38 1.20 18.25 4.94300 387.30 11.12 1.13 13.14 4.94212 252.19 13.41 3.29 15.46 4.940 2 4 6 8 10 12050100150200250300350212 252.19 14.20 6.11 15.84 4.94150 178.33 9.41 7.50 9.80 4.94105 125.50 5.99 8.02 5.57 4.9475 88.74 3.00 6.31 2.33 4.9453 63.05 1.17 3.13 0.78 4.9445 48.84 0.85 2.66 0.48 4.9437 40.80 17.13 60.39 8.37 4.94CURVA DE PARTICION CORREGIDADATOS: LOS % DE SOLIDOS%SF=46.40 AGUA EN LA DESCARGA=P%SR = 25.90 AGUA EN EL ALIMENTO P= 0.2605%SD = 73.50ECUACION DE LA CURVA DE PARTICION CORREGIDA :TABLA DE PARTICION CORREGIDA Y XMALLA ABERTURA ED(x) ED(x)C ER(x) ED(x)calc Log(X)20 850.00 101.00 101.35 0.00 100.00 #NUM! 2.9335 651.92 99.66 99.54 0.34 100.00 0.73 2.8150 387.30 98.56 98.06 1.44 99.73 0.60 2.5970 252.19 95.96 94.54 4.04 97.47 0.46 2.40100 178.33 93.42 91.10 6.58 91.83 0.38 2.25140 125.50 89.12 85.29 10.88 81.69 0.28 2.10200 88.74 82.05 75.72 17.95 68.56 0.15 1.95270 63.05 70.35 59.90 29.65 54.74 -0.04 1.80325 48.84 59.15 44.76 40.85 44.99 -0.23 1.69400 40.80 53.92 37.68 46.08 38.73 -0.33 1.61-400 18.50 37.91 16.03 62.09 18.47 -0.76 1.27Log(ln(1/(1-ED(x)c))mDdxE]]]

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.| 506931 . 0 exp 100 100( )( ) x Log mdLogyLn Logm*6931 . 01 150+]]]]

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+ mdLog am bbx a y506931 . 01.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00-1.00-0.80-0.60-0.40-0.200.000.200.400.600.801.00f(x) = 0.95x - 1.82R = 0.96LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]Del grafico obtenemos los sgtes datos:m=b 0.951a= -1.821d50 corr =55.8541.00 1.20 1.40 1.60 1.80 2.00 2.20 2.40 2.60 2.80 3.00-1.00-0.80-0.60-0.40-0.200.000.200.400.600.801.00f(x) = 0.95x - 1.82R = 0.96LINEALIZACION DE LA CURVA DE PARTICION CORREGIDALog(x)Log[Ln(1/(1-ED(x)c))]10.00 100.00 1000.00102030405060708090100110CURVA DE PARTICIONColumn FColumn IColumn GABERTURAED(X)10 30 50 70 90 110 130 150 170 190 210 230 250 270 2900102030405060708090100CURVA TROMPColumn FColumn HaberturaED(x)d50 = 35.20d50Corr = 55.84d50Calc = 72.38EFICIENCIA DE LA CLASIFICACION :ALIMENTO REBOSE DESCARGAMALLA ABERTURA %PESO %ACUM ( - ) %ACUM.( + ) %PESO %ACUM (-) %ACUM.(+) %PESO %ACUM (-) %ACUM(+)20 850 5.73 94.27 5.73 -0.35 100.35 -0.35 6.93 93.07 6.9335 652 11.28 83.00 17.00 0.23 100.11 -0.11 13.46 79.61 20.3950 387 10.05 72.95 27.05 0.87 99.24 0.76 11.86 67.74 32.2670 252 13.95 59.00 41.00 3.41 95.83 4.17 16.04 51.70 48.30100 178 16.91 42.08 57.92 6.74 89.10 10.90 18.93 32.77 67.23140 125 12.46 29.62 70.38 8.20 80.90 19.10 13.31 19.46 80.54200 89 7.77 21.85 78.15 8.44 72.46 27.54 7.64 11.83 88.17270 63 3.59 18.26 81.74 6.45 66.01 33.99 3.03 8.80 91.20325 49 1.28 16.98 83.02 3.15 62.86 37.14 0.90 7.90 92.10400 41 0.97 16.02 83.98 2.69 60.17 39.83 0.62 7.27 92.73-400 19 16.02 0.00 100.00 60.17 0.00 100.00 7.27 0.00 100.00100.00 100.0010 30 50 70 90 110 130 150 170 190 210 230 250 270 2900102030405060708090100CURVA TROMPColumn FColumn HaberturaED(x)30 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.0010.0020.0030.0040.0050.0060.0070.0080.0090.00100.00Curvas de G - G - SColumn FColumn LColumn Iabertura%Acum. Pasanted50 = 35.20 EFICIENCIA :Del grafico G:G:S obtenemos : n1 = 0.618fF(d50) = 12.30 n2 = 0.899fD(d50) = 5.50 n=55.6fR(d50) = 46.0030 35 40 45 50 55 60 65 70 75 80 85 90 95 1000.0010.0020.0030.0040.0050.0060.0070.0080.0090.00100.00Curvas de G - G - SColumn FColumn LColumn Iabertura%Acum. PasanteCALCULO DE LA CARGA CIRCULANTE POR EL METODO DE LAGRANGE