PROBLEMA 1En la siuiente figura se muestra el circuito de molienda en circuito cerrado y en la tabla los analisis granulometricos del alimento y los productos de zaranda bibratoria .si se proesa 200TMSH de mineral polimetalico calcula:

1 El % de carga circulante q retoma a la chancadora2 El analisis granulometrico del alimento fresco3 Radio reduccion de la chancadora

SOLUCION:%PESO %PESO %PESO CORREGIDO

MALLA ABERTURA D(d) U(u) O(o) RCC RCC6" 152400 42.8 1.2 55.7 3.224806 3.094" 101600 15.3 6.6 18.2 3 3.092" 50800 9.5 9.4 9.2 -0.33333 3.091" 25400 5.7 10.2 4.2 3 3.09 O=(309*200)/100

3/4" 11051 6.1 12.4 4.1 3.15 3.09

HALLANDO EL %DE CARA CIRCULANTEBALANCE DE MATERIA

F=U* En el cedazo

D=O+URCC=O/F=O/URCC=(d-u)/(o-d)

D

HALLANDO EL ANALISIS GRANULOMETRICO DEL ALIMENTO FRESCO

MALLA ALIMENTO FRESCO DESCARGA UPESO TM %PESO %AC(+) %AC(-) PESOTM %PESO %AC(+) %AC(-) PESO TM

6" 5.878 2.939 2.939 97.061 350.104 42.8 42.8 57.2 2.44'' 12.678 6.339 9.278 90.722 125.154 15.3 58.1 41.9 13.22'' 20.854 10.427 19.705 80.295 77.71 9.5 67.6 32.4 18.81'' 20.67 10.335 30.04 69.96 46.626 5.7 73.3 26.7 20.4

3/4'' 24.56 12.28 42.32 57.68 49.898 6.1 79.4 20.6 24.8_3/4'' 115.36 57.68 100 0 168.508 20.6 100 0 120.4TOTAL 200 100 818 100 200

F=U=200D=U+OD=200+O

O=(309*200)/100O=618

F

O(OVERSIZE)

U(UNDERSIZE)

HALLANDO RADIO REDUCCIONFUNCION MATEMATICA GATES-GAUDIN SCHUMANN

O%PESO %AC(+) %AC(-) PESO TM %PESO %AC(+) %AC(-)

1.2 1.2 98.8 344.23 55.7 55.7 44.3 MALLA6.6 7.8 92.2 112.48 18.2 73.9 26.1 6"9.4 17.2 82.8 56.86 9.2 83.1 16.9 4''

10.2 27.4 72.6 25.96 4.2 87.3 12.7 2''12.4 39.8 60.2 25.34 4.1 91.4 8.6 1''60.2 100 0 53.15 8.6 100 0 3/4''100 618.00 100 TOTAL

FUNCION MATEMATICA ROSIN RAMLER

MALLA6"4''2''1''

3/4''TOTAL

RCC=

HALLANDO RADIO REDUCCIONFUNCION MATEMATICA GATES-GAUDIN SCHUMANN

X Y X YABERTURA %AC(-) LOG(X) LOG(Y) X*Y X^2

152400 98.800 5.1829850 1.9947569 10.3387953 26.8633332101600 92.200 5.0068937 1.9647309 9.8371989 25.068984650800 82.800 4.7058637 1.9180303 9.0259894 22.145153325400 72.600 4.4048337 1.8609366 8.1971164 19.402560111051 60.200 4.0434016 1.7795965 7.1956233 16.3490963

23.3439777 9.5180513 44.5947231 109.8291274

a=(F*G-D*J)/(C*F-E) 1.03251541906327m=(C*J)-(D*J)/(C*F-E) 0.18657806643994 46345.4411833K=10^((A-2)/-m) 153,254.8891595

FUNCION MATEMATICA ROSIN RAMLER

X Y X YABERTURA %AC(+) LOG(X) LOG(ln(100/y)) X*Y X^2

152400 2.939 5.1829850 0.547418 2.8372586 26.8633332101600 9.278 5.0068937 0.376125 1.8832176 25.068984650800 19.705 4.7058637 0.210666 0.9913638 22.145153325400 30.040 4.4048337 0.080136 0.3529848 19.402560111051 42.320 4.0434016 -0.065547 -0.2650320 16.3490963

23.3439777 1.148797 5.7997928 109.8291274

a=(F*G-D*J)/(C*F-E) -2.19268796593784m=(C*J)-(D*J)/(C*F-E) 0.518859186393934 P80=x= 934.334450373K=10^((A-2)/-m) 16,825.9225260

F80/P80= 49.6026248

F80=X=

Y=100(X/K)^m

Y=100e^-((X/K)^m)

FORMA RAPIDA(APROXIMADO)FUNCION MATEMATICA GATES-GAUDIN SCHUMANNDespejando x y k tenemos

CONSTANTES PARA LOS CALCULOS

Y^2 5.0000000 N = C= 5 m=log(Yi/Yj)/log(Xi/Xj)3.9790553 23.3439777 SX = D= 23.344 k=((100/Yi)^(1/m))*Xi3.8601676 544.941294053488 (SX)^2= E= 544.942

3.6788404 109.8291274 SX^2 = F= 109.829

3.4630851 9.5180513 SY = G= 9.518 MALLA3.1669637 90.5933008232481 (SY)^2= H= 90,592 6"

18.1481120 18.1481120 SY^2 = I= 18.14844.5947231 SXY = J= 44.595 3/4''

m=k=

FUNCION MATEMATICA ROSIN RAMLER Despejando x y k tenemos

CONSTANTES PARA LOS CALCULOS

Y^2 5.0000000 N = C= 5 m=(log((log(Yi/100))/log(Yj/100)))/log(Xi/Xj)0.2996663 23.3439777 SX = D= 23.344 k=((-Xi^m)*loge)/log(Yi/100))^(1/m)0.1414700 544.941294053488 (SX)^2= E= 544.942

0.0443800 109.8291274 SX^2 = F= 109.829

0.0064217 1.1487974 SY = G= 9.518 MALLA0.0042964 1.3197355535302 (SY)^2= H= 90,592 6"0.4962344 0.4962344 SY^2 = I= 18.148

5.7997928 SXY = J= 44.595 3/4''

m=k=

RCC=

Y=100(X/K)^m

Y=100e^-((X/K)^m)

FORMA RAPIDA(APROXIMADO)FUNCION MATEMATICA GATES-GAUDIN SCHUMANNDespejando x y k tenemos

m=log(Yi/Yj)/log(Xi/Xj)k=((100/Yi)^(1/m))*Xi o° k=((100/Yj)^(1/m))*Xj

FABERTURA % ac(-)

152400 98.8(Xi) (Yi)

11051 60.2(Xj) (Yj)

0.18880623882162463.00054

49828.392

FUNCION MATEMATICA ROSIN RAMLER Despejando x y k tenemos

m=(log((log(Yi/100))/log(Yj/100)))/log(Xi/Xj)k=((-Xi^m)*loge)/log(Yi/100))^(1/m)

FABERTURA %AC(+)

152400 2.939(Xi) (Yi)

11051 42.32(Xj) (Yj)

0.5378848770314602.02567

P80=x= 898.14081

F80/P80= 55.479488

F80=X=

Y=100(X/K)^m

Y=100e^((X/K)^m)