DATOS ORIGINALESUNIVERSIDAD NACIONALDEL CENTRO DEL PERFacultad de Ingeniera Metalrgica y de MaterialesAsignatura: Preparacin Mecnica de MineralesIV Semestre 2011 -ITEMA: BALANCE EN CEDAZOS O HARNEROS - CIRCUITO DE CHANCADO

PROBLEMA: Del muestreo realizado a una zaranda 6`x 16 se han obtenido los datos que se resumen enla tabla siguiente:Tamao de Partcula% PESOMallasMicronesAlimentoOversizeUndersize8"2032002.94.302.0716"1524007.911.702.0794"10160015.322.702.0683 1/2"889006.1902.1033"762004.97.401.9602 1/2"635004.97.401.9602"508007.411.102.0001 1/2"381007.41102.0561"254008.312.402.0243/4"190502.531.52.0001/2"127003.3010.12.0613/8"9525309.22.0671/4"63503.90122.0776M34005015.12.0208M24002.6082.07710M17002.507.62.04020M8504.1012.62.073 -20M7.90.1242.064TMS/hora?2880?Calcular:a) El coeficiente de Carga circulanteb) El D80 del alimento, oversize y undersizec) Grafico de Gaudin Schuman del alimento, oversize y undersize, en un solo grficod) El % de carga circulantee) Las TMS/hora del alimento y undersize del cedazo

DATOS CAMBIADOSUNIVERSIDAD NACIONALDEL CENTRO DEL PERFacultad de Ingeniera Metalrgica y de MaterialesAsignatura: Preparacin Mecnica de MineralesIV Semestre 2011 -ITEMA: BALANCE EN CEDAZOS O HARNEROS - CIRCUITO DE CHANCADO

PROBLEMA: Del muestreo realizado a una zaranda 6`x 16 se han obtenido los datos que se resumen enla tabla siguiente:Tamao de Partcula% PESOMallasMicronesAlimentoOversizeUndersize18"2032003.14.302.5832.9402.63626"1524007.911.702.0797.911.702.07934"10160014.822.701.87314.922.701.91043 1/2"889006.1902.1036.2902.21453"762004.97.401.9604.97.401.96062 1/2"635004.77.401.7414.77.501.67972"508007.411.501.8057.411.501.80581 1/2"381007.61102.2357.61102.23591"254008.31202.2438.31202.243103/4"190502.52.81.53.3332.52.81.43.667111/2"127003.3010.12.0613.309.71.939123/8"9525309.62.2003.009.32.100131/4"63503.9012.72.2563.9012.32.154146M34005015.12.0205.0014.61.920158M24002.608.52.2692.608.22.1541610M17002.508.52.4002.508.22.2801720M8504.1012.62.0734.2012.21.90518 -20M7.90.1252.1928.00.124.12.038TMS/hora?2880?99.899.7100.0

Calcular:a) El coeficiente de Carga circulanteb) El D80 del alimento, oversize y undersizec) Grafico de Gaudin Schuman del alimento, oversize y undersize, en un solo grficod) El % de carga circulantee) Las TMS/hora del alimento y undersize del cedazo

UNIVERSIDAD NACIONALDEL CENTRO DEL PERFacultad de Ingeniera Metalrgica y de Materiales

PROCESAMIENTO DE MINERALESAsignatura: Preparacin Mecnica de MineralesIV Semestre 2011 -ITEMA: BALANCE EN CEDAZOS O HARNEROS VIBRATORIOS - CIRCUITO DE CHANCADO

PROBLEMA: Del muestreo realizado a una zaranda 6`x 16 se han obtenido los datos que se resumen en la tabla.El valor de los datos del problema se encuentran sombreados

Tamao de Partcula% PESO - EXPERIMENTALMallasMicronesAOzUz18"2032002271852.94026"152400175976811.9034"1016001244341522.7043 1/2"88900950386.29053"76200823054.97.4062 1/2"63500695614.77.5072"50800567967.411.6081 1/2"38100439947.611091"25400311098.3120103/4"19050219972.52.81.4111/2"12700155543.309.7123/8"952510999309.3131/4"635077773.9012.3146M340046475014.6158M240028572.608.21610M170020202.508.21720M85012024.2012.218 -20M109280.124.1Total100100100TMS/hora2880

Calcular:a) El coeficiente de Carga circulanteb) El D80 del alimento, oversize y undersizec) Grafico de Gaudin Schuman del alimento, oversize y undersize, en un solo grficod) El % de carga circulantee) Las TMS/hora del alimento y undersize del cedazof) Graficar la Curva Tromp de Eficiencia del cedazoSOLUCIONAjuste de datos mediante Mnimos cuadradosTamao de Partcula% PESO - EXPERIMENTAL% PESO - CORREGIDOPeso, %Eficiencia TamizadoMallasMicronesAlimentoOversizeUndersize r=(u-a)/(a-o)AlimentoOversizeUndersize r=(u-a)/(a-o)OversizeOversizeUndersize8"2032002271852.9402.6362.74.00.02.01966.910006"152400175976811.902.0518.011.90.02.01966.910004"1016001244341522.701.94815.222.7-0.02.01966.9100-03 1/2"88900950386.2902.2146.09.00.02.01966.910003"76200823054.97.401.9604.97.4-0.02.01966.9100-02 1/2"63500695614.77.501.6795.07.5-0.02.01966.9100-02"50800567967.411.601.7627.711.5-0.02.01966.9100-01 1/2"38100439947.61102.2357.411.00.02.01966.910001"25400311098.31202.2438.112.00.02.01966.910003/4"19050219972.52.81.43.6672.42.81.42.01966.980201/2"12700155543.309.71.9393.20.09.72.01966.901003/8"952510999309.32.1003.1-0.09.32.01966.9-01001/4"635077773.9012.32.1544.1-0.012.32.01966.9-01006M340046475014.61.9204.90.014.62.01966.901008M240028572.608.22.1542.7-0.08.22.01966.9-010010M170020202.508.22.2802.7-0.08.22.01966.9010020M85012024.2012.21.9054.10.012.22.01966.90100 -20M109280.124.12.0388.00.124.12.01966.9199Total1001001002.160100100100TMS/hora2880

a) Coeficiente de Carga circulante: Experimental =2.160 Corregido =2.019

b) El D80 del Alimento, Oversize y UndersizeTamao de Partcula% Peso Retenido% Peso PasanteD80, micronesMallasMicronesAlimentoOversizeUndersizeAlimentoOversizeUndersizeAOzUz8"2032002271852.74.00.097.396.0100.00006"1524001759768.011.90.089.384.1100.012112314330504"10160012443415.222.7-0.074.261.4100.00003 1/2"88900950386.09.00.068.152.4100.00003"76200823054.97.4-0.063.245.0100.00002 1/2"63500695615.07.5-0.058.237.5100.00002"50800567967.711.5-0.050.526.0100.00001 1/2"38100439947.411.00.043.114.9100.00001"25400311098.112.00.035.12.9100.00003/4"19050219972.42.81.432.70.198.60001/2"12700155543.20.09.729.50.188.90096683/8"9525109993.1-0.09.326.40.179.60001/4"635077774.1-0.012.322.40.167.30006M340046474.90.014.617.50.152.70008M240028572.7-0.08.214.80.144.500010M170020202.7-0.08.212.10.136.300020M85012024.10.012.28.00.124.1000 -20M10928.00.124.10.00.00.0000Total100100100100100100

c) Grafico de Gaudin Schumann

AlimentoOversizeUndersize20320097.396.0100.015240089.384.1100.010160074.261.4100.08890068.152.4100.07620063.245.0100.06350058.237.5100.05080050.526.0100.03810043.114.9100.02540035.12.9100.01905032.70.198.61270029.50.188.9952526.40.179.6635022.40.167.3340017.50.152.7240014.80.144.5170012.10.136.38508.00.124.1

d) Calcular el porcentaje de Carga circulante

% Cc = Coeficiente de Carga circulante x 100Coeficiente de Carga circulante "r" =2.019Carga circulante =202%

e) Balance de Materia en el Cedazo r = Oz / Uz A =Uz +Oz3.019 =1 +2.019100 =33.1 +66.9Base de clculo: Flujo del Oversize =2880TMS/hrFlujo del Alimento al cedazo = 2880 / 0.669 =4305TMS/hrFlujo de Undersize del cedazo = 4305 - 2880 =1425TMS/hrBALANCE DE MATERIA:4305 TMS/hr2880 TMS/hr1425 TMS/hrCurva de Eficiencia:Eficiencia TamizadoOversizeUndersize22718510001759761000124434100-095038100082305100-069561100-056796100-043994100031109100021997802015554010010999-01007777-0100464701002857-0100202001001202010092199

MCPREGUNTA 2VALORES AJUSTADOS r = 0 2,01611.98517.943-0.028AJUSTE MATEMTICO DE DATOS DE ANLISIS GRANULOMTRICO DE LOS PRODUCTOS DE UN CYCLNJk = (( F * ( 1 + R ) - O - U * R ) ^ 2 ) / ( 1 + R + R ^ 2 )11.98417.8440.171Datos: Escribir en la celda Q7, el valor de R que hace mnimo a Jr34.0243.9214.061) ANLISIS GRANULOMTRICO DE OPERACIN DEL CYCLN19.78312.64534.172FUORJrrQSKFcUcOcr 22.2287.64751.624DATOS DE ANLISIS DE MALLAVALORES OBSERVADOSCoef. CcValores de r AsumidosValores calculados de JrPTIMOCONSTANTES PARA EL AJUSTEVALORES AJUSTADOSRecalculado10099.99999.999TamaoPESO RETENIDO EN GRAMOSPORCENTAJES EN PESO( F - O )r-1r-2r-32.0182.0192.022 * ( 1 + r +( F*Q - O -K*( -Q ) + FK * R + UK + O(F-O)/(U-F)MALLASAlimentoArenasReboseAlimentoArenasRebose( U - F )2.0182.0192.020.85910668120.85905912050.85909413552.019Q = 1 + rr ^ 2 )U * R ) / S r = 1,93200.000.000.000.000.000.00ERROR:#DIV/0!2.0182.0192.020002.0193.01914.19072200.00.00.0ERROR:#DIV/0!11.87218.0180.01190.000.000.000.000.000.00ERROR:#DIV/0!2.0182.0192.020002.0193.01914.19072200.00.00.0ERROR:#DIV/0!11.87317.9150.212182.904.000.002.904.000.002.6362.0182.0192.020.06525400530.0649969480.0647405782.0193.01914.1907220.04785521132.84.10.02.01933.83244.04514.123178.0011.900.008.0011.900.002.0512.0182.0192.020.00237620170.00223396810.00209621992.0193.01914.1907220.0088719948.011.90.02.01919.91712.55434.1281615.0022.700.0015.0022.700.001.9482.0182.0192.020.04091349850.04206180490.04322517042.0193.01914.190722-0.038496984215.122.6-0.02.01922.5057.46751.528156.209.000.006.209.000.002.2142.0182.0192.020.04260174290.04213883410.04167877872.0193.01914.1907220.03853221846.19.10.02.01999.99999.999100.001144.907.400.004.907.400.001.9602.0182.0192.020.00296530880.0030662640.00316883562.0193.01914.190722-0.01039411534.97.4-0.02.01913 + 144.707.500.004.707.500.001.6792.0182.0192.020.12739335470.12805412440.12871612872.0193.01914.190722-0.06717064854.97.4-0.12.019PREGUNTA 112-14 + 207.4011.600.007.4011.600.001.7622.0182.0192.020.16316819370.16432821950.16549152162.0193.01914.190722-0.07609197057.611.4-0.12.019% P. ret.% Ac Pasante% P ret.11-20 + 287.6011.000.007.6011.000.002.2352.0182.0192.020.07698173450.07622066870.07546391752.0193.01914.1907220.05182259237.411.10.12.01911.988.1821810-28 + 358.3012.000.008.3012.000.002.2432.0182.0192.020.09795822590.09702143270.09608979782.0193.01914.1907220.05846777928.112.10.12.01912.275.964.317.79-35 + 482.502.801.402.502.801.403.6672.0182.0192.020.03450183090.03443552630.03436933132.0193.01914.1907220.03483261812.42.91.42.0191857.938.425.98-48 + 653.300.009.703.300.009.701.9392.0182.0192.020.00949016720.00972625490.00996507242.0193.01914.1907220.01851209543.20.09.72.01915.94220.318.17-65 + 1003.000.009.303.000.009.302.1002.0182.0192.020.00853501190.00832219810.0081122192.0193.01914.190722-0.01712386453.1-0.09.32.01911.530.512.28.16-100 + 1503.900.0012.303.900.0012.302.1542.0182.0192.020.03958747720.03897910340.03837586612.0193.01914.190722-0.03705942524.0-0.112.32.0198.5227.84.45-150 + 2005.000.0014.6005.000.0014.601.9202.0182.0192.020.03386305050.03453312660.0352092842.0193.01914.1907220.03488194614.90.114.62.019227.84-200 + 2702.600.008.200.102.600.008.202.1542.0182.0192.020.01759443430.0173240460.01705594052.0193.01914.190722-0.02470628342.7-0.08.22.0191001003-270 + 3252.500.008.2014.102.500.008.202.2802.0182.0192.020.06050851840.0600048750.05950368992.0193.01914.190722-0.04598074712.6-0.18.22.0192-325 + 4004.200.0012.2034.104.200.0012.201.9052.0182.0192.020.0319019780.03244486640.03299194412.0193.01914.1907220.03381082374.10.112.22.0191-4008.000.1024.1051.708.000.1024.102.0382.0182.0192.020.00351194670.00316685930.002839842.0193.01914.190722-0.01056323988.00.124.12.019Total100.00100.00100.00100.00100.00100.002.1600.85910668120.85905912050.8590941355100.00100.00100.00TMSPH59.209Jk = (( F * ( 1 + R ) - O - U * R ) ^ 2 ) / ( 1 + R + R ^ 2 )Q = R + 1Fc = K * ( -Q ) + F% de Slidos70.98981.5261.62k = Fraccin determinadaS = 2 * ( 1 + R + R ^ 2 )Uc = K * R + UGravedad especfica3.563.63.52Jr = Sumatoria de Jk de todas las fraccionesK = ( F * Q - O - U * R ) / SOc = K + OU =2.019paraO =1F =O +U783.019 =1 +2.019100 =33.1 +66.9Carga circulante = U / O = 201.9%

AJUSTE MATEMTICO DE DATOS DE ANLISIS GRANULOMTRICO DE LOS PRODUCTOS DE UN CYCLNJk = (( F * ( 1 + R ) - O - U * R ) ^ 2 ) / ( 1 + R + R ^ 2 )Datos: Escribir en la celda Q7, el valor de R que hace mnimo a Jr1) ANLISIS GRANULOMTRICO DE OPERACIN DEL CYCLNFUORJrrQSKFcUcOcr DATOS DE ANLISIS DE MALLAVALORES OBSERVADOSCoef. CcValores de r AsumidosValores calculados de JrPTIMOCONSTANTES PARA EL AJUSTEVALORES AJUSTADOSRecalculadoTamaoPESO RETENIDO EN GRAMOSPORCENTAJES EN PESO( F - O )r-1r-2r-32.0182.0192.022 * ( 1 + r +( F*Q - O -K*( -Q ) + FK * R + UK + O(F-O)/(U-F)MALLASAlimentoArenasReboseAlimentoArenasRebose( U - F )2.0182.0192.020.10996488640.10993071850.10997913932.019Q = 1 + rr ^ 2 )U * R ) / S200.000.000.000.000.000.00ERROR:#DIV/0!2.0182.0192.020002.0193.01914.19072200.00.00.0ERROR:#DIV/0!190.000.000.000.000.000.00ERROR:#DIV/0!2.0182.0192.020002.0193.01914.19072200.00.00.0ERROR:#DIV/0!182.764.000.002.764.000.002.2142.0182.0192.020.00840883080.00831742660.00822658612.0193.01914.1907220.01711895482.74.00.02.019177.9711.900.007.9711.900.002.0302.0182.0192.020.00033813630.00028587290.00023802692.0193.01914.1907220.00317372468.011.90.02.0191615.1222.700.0015.1222.700.001.9932.0182.0192.020.00497638340.00538249850.00580423592.0193.01914.190722-0.013771292915.222.7-0.02.019156.089.000.006.089.000.002.0862.0182.0192.020.00555829370.00539235570.00522904722.0193.01914.1907220.0137838976.09.00.02.019144.937.400.004.937.400.001.9982.0182.0192.020.00035677540.00039237880.00042964812.0193.01914.190722-0.00371822394.97.4-0.02.01913 + 144.907.500.004.907.500.001.8882.0182.0192.020.01614941380.01638662760.01662540022.0193.01914.190722-0.02402854915.07.5-0.02.01912-14 + 207.6311.600.007.6311.600.001.9222.0182.0192.020.02061306580.02102849360.0214477662.0193.01914.190722-0.02721991967.711.5-0.02.01911-20 + 287.4411.000.007.4411.000.002.0932.0182.0192.020.01002630690.00975368590.00948501182.0193.01914.1907220.01853818197.411.00.02.01910-28 + 358.1212.000.008.1212.000.002.0962.0182.0192.020.01275096930.01241548520.01208470662.0193.01914.1907220.02091532448.112.00.02.0199-35 + 482.392.801.402.392.801.402.4552.0182.0192.020.00442995280.00440659090.00438330722.0193.01914.1907220.01246046142.42.81.42.0198-48 + 653.240.009.703.240.009.701.9902.0182.0192.020.00116100860.0012446340.00133110482.0193.01914.1907220.00662221973.20.09.72.0197-65 + 1003.050.009.303.050.009.302.0472.0182.0192.020.00114185910.00106496190.00099079672.0193.01914.190722-0.00612561633.1-0.09.32.0196-100 + 1504.010.0012.304.010.0012.302.0662.0182.0192.020.00520672370.00498801620.00477415132.0193.01914.190722-0.01325704364.1-0.012.32.0195-150 + 2004.890.0014.6004.890.0014.601.9832.0182.0192.020.00418111930.00441908050.00466345112.0193.01914.1907220.01247810724.90.014.62.0194-200 + 2702.670.008.200.102.670.008.202.0662.0182.0192.020.00231409940.00221689610.0021218452.0193.01914.190722-0.00883802912.7-0.08.22.0193-270 + 3252.640.008.2014.102.640.008.202.1072.0182.0192.020.00785878660.00767860890.00750064612.0193.01914.190722-0.01644841412.7-0.08.22.0192-325 + 4004.100.0012.2034.104.100.0012.201.9772.0182.0192.020.00395877380.00415185330.00434938792.0193.01914.1907220.01209494114.10.012.22.0191-4008.030.1024.1051.708.030.1024.102.0262.0182.0192.020.00053438770.00040525160.00029402022.0193.01914.190722-0.00377872388.00.124.12.019Total100.00100.00100.00100.00100.00100.002.0580.10996488640.10993071850.1099791393100.00100.00100.00TMSPH59.209Jk = (( F * ( 1 + R ) - O - U * R ) ^ 2 ) / ( 1 + R + R ^ 2 )Q = R + 1Fc = K * ( -Q ) + F% de Slidos70.98981.5261.62k = Fraccin determinadaS = 2 * ( 1 + R + R ^ 2 )Uc = K * R + UGravedad especfica3.563.63.52Jr = Sumatoria de Jk de todas las fraccionesK = ( F * Q - O - U * R ) / SOc = K + OU =2.019paraO =1F =O +U783.019 =1 +2.019100 =33.1 +66.9Carga circulante = U / O = 201.9%

123102.2600.87422.5401.9001.4971TCNICA DE AJUSTE MEDIANTE MNIMOS CUADRADOS1.9900.89472.0000.87432.0100.8625TamaoDATOS OBSERVADOSJk = (( F * ( 1 + R ) - O - U * R ) ^ 2 ) / ( 1 + R + R ^ 2 )2.0190.8591de Partcula% Peso Retenidor1.91.921.941.961.9822.022.042.0180.8591MallasAlimentoArenasReboseJr JrJrJrJrJrJrJr2.0000.8743-150 + 20011.918.00.21.9180.0018586790.0000220.0026790.0096350.0207070.03571428570.05448763450.07686291942.0000.8743-200 + 27012.217.71.51.9450.00960061440.0029670.0001340.0009410.0052320.01285714290.02367472260.03754721172.0100.8625-270 + 32533.944.014.11.9600.05715821810.0251970.0063300.0000020.0056810.02285714290.05103994140.08976005332.0200.8591-325 + 40020.012.534.11.8800.00345622120.0136230.0302080.0529290.0815170.11571428570.15527294240.19995556542.0200.8591-40022.07.850.11.9790.1926881720.1057910.0454540.0105600.0000370.01285714290.04803335020.10461897362.0190.8591Total1001001001.9370.26476190480.1476000.0848050.0740670.1131740.2000000.3325090.508742.1001.11452.0100.86252.0200.8591ALGORITMOJr2.0300.86391) Hallar el valor de "r" que hace mnimo a "Jr"1.90.264762.0210.8592Se inicia con el valor promedio calculado de "r" 1.920.1476002.0200.85911.940.0848051.960.0740671.980.11317420.2000002.020.3325092.040.508745

DESARROLLO MCrJr1.881.7421.891.6141.91.4971.911.3901.921.2941.931.2081.941.1321.951.0661.961.0091.970.9621.980.9241.990.89520.8742.010.8622.020.8592.030.8642.040.8772.050.8982.060.9262.070.9622.081.0062.091.0572.11.1142.111.1792.121.2512.131.3292.141.4142.151.5052.161.6022.171.706Jr1.91.49705069121.990.894688997320.874285714320.874285714320.87428571432.010.86248109962.010.86248109962.010.86248109962.0180.85910668122.0190.85905912052.0190.85905912052.020.85909413552.020.85909413552.020.85909413552.020.85909413552.0210.85921155072.030.86394747512.11.1144873502