• Author / Uploaded
• EDUARD MIGUEL CHAVEZ AREDO

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DATOS EXPERIMENTALES R [g] L [mm] 0 4.72 2.21 3.338 8.25 2.36 21.67 1.669 17.45 1.403 15.4 1.18 13.57 0.992 11.87 0.834 4.2 0.59 1.95 0.417 0.95 0.295 0.71 0.209 0.51 0.148 0.36 0.104 0.26 0.074 0.65 0 100.01 R [g] n L [mm] Dm [mm] xi xa xc

Dm 4.029 2.849 2.0145 1.536 1.2915 1.086 0.913 0.712 0.5035 0.356 0.252 0.1785 0.126 0.089 0.037

masa de granos retenidos Número de Tamiz Luz de la malla Diámetro medio fracción másica retenida fracción másica acumulada fracción másica de cernido

xi 0.0000 0.0221 0.0825 0.2167 0.1745 0.1540 0.1357 0.1187 0.0420 0.0195 0.0095 0.0071 0.0051 0.0036 0.0026 0.0065

xa 0.0000 0.0221 0.1046 0.3213 0.4958 0.6497 0.7854 0.9041 0.9461 0.9656 0.9751 0.9822 0.9873 0.9909 0.9935 1.0000

xc 1.0000 0.9779 0.8954 0.6787 0.5042 0.3503 0.2146 0.0959 0.0539 0.0344 0.0249 0.0178 0.0127 0.0091 0.0065 0.0000

1.0221

1.2000 1.0000 0.8000 0.6000 0.4000 0.2000 0.0000

0

0.5

1

1.5

2

xa

2.5

3

xc

3.5

4

4.5

5

DATOS EXPERIMENTALES

R [g] 0 2.21 8.25 21.67 17.45 15.4 13.57 11.87 4.2 1.95 0.95 0.71 0.51 0.36 0.26 0.65 100.01

L [mm] 4.72 3.338 2.36 1.669 1.403 1.18 0.992 0.834 0.59 0.417 0.295 0.209 0.148 0.104 0.074 0

R [g] n L [mm] Dm[mm]

masa de granos retenidos Número de Tamiz Luz de la malla

Xi

fracción másica retenida

Xa

fracción másica acumulada

Xc

fracción másica de cernido

Diámetro medio

Dm[mm]

Xi

Xa

Xc

4.029 2.849 2.0145 1.536 1.2915 1.086 0.913 0.712 0.5035 0.356 0.252 0.1785 0.126 0.089 0.037

0.00000 0.02210 0.08249 0.21668 0.17448 0.15398 0.13569 0.11869 0.04200 0.01950 0.00950 0.00710 0.00510 0.00360 0.00260 0.00650

0.00000 0.02210 0.10459 0.32127 0.49575 0.64974 0.78542 0.90411 0.94611 0.96560 0.97510 0.98220 0.98730 0.99090 0.99350 1.00000

1.00000 0.97790 0.89541 0.67873 0.50425 0.35026 0.21458 0.09589 0.05389 0.03440 0.02490 0.01780 0.01270 0.00910 0.00650 0.00000

1.20000

ccion masica

1.00000 0.80000 0.60000

Xi Xc

R% 0.00% 2.21% 8.25% 21.67% 17.45% 15.40% 13.57% 11.87% 4.20% 1.95% 0.95% 0.71% 0.51% 0.36% 0.26% 0.65%

0.80000 0.60000

Xi Xc Xa

0.40000 0.20000 0.00000

0

0.5

1

1.5

2

2.5

3

3.5

4

4.5

Diametro medio (Dm)

grafica 1. Fracción masica vs diametro medio

R% 25.00%

fraccion masica porcentual

Fraccion masica

1.00000

20.00% 15.00% 10.00% 5.00% 0.00%

0

0.5

1

1.5

2

2.5

3

3.5

4

Luz de malla (mm)

grafica 2. Fracción masica porcentual vs luz de malla

4.5

5

masa de granos retenidos úmero de Tamiz uz de la malla

iámetro medio

acción másica retenida

acción másica acumulada

acción másica de cernido

Ra 0 2.21 10.46 32.13 49.58 64.98 78.55 90.42 94.62 96.57 97.52 98.23 98.74 99.1 99.36 100.01

log(ln(M/Ra)) log(L) 0 0.673942 0.58118452475 0.52348633 0.35366848791 0.372912 0.0551794921 0.22245634 -0.15385925911 0.14705767 -0.36533066427 0.07188201 -0.61702025857 -0.00348833 -0.9965192223 -0.07883395 -1.25647995982 -0.22914799 -1.45590655625 -0.37986395 -1.5983807158 -0.53017798 -1.74572961932 -0.67985371 -1.89346750967 -0.82973828 -2.0390186605 -0.98296666 -2.1857149178 -1.13076828

ꓒR/ꓒL -3.8751615E-05 -0.0053139746 -0.1625823097 -1.7141319251 -4.1422995111 -8.5357426094 -15.441505075 -24.990868263 -50.130449933 -77.214499714 -98.470927676 -109.96593368 -111.88505494 -106.37726658 -96.747823582

Curva de d 0 -20 -40

R2 Pendiente intercepto

0.92220635 1.60607727 -0.58448086

n L0

1.60607727

L max

0.23580806

dR/dL

QUE PASA% 100.00% 97.79% 89.54% 67.87% 50.42% 35.03% 21.46% 9.59% 5.39% 3.44% 2.49% 1.78% 1.27% 0.91% 0.65%

-60 -80 -100 -120

0.43259524

Linealizacion de la ecuacion Rosin, Rammler y Sperling Log(Ln(M/Ra))

1

-1.5

0.5 f(x) = 1.60607727076312 x − 0.584480856649417 R² = 0.922206351820977 0 -1 -0.5 0

0.5

1

0

0.5

1

1.5

Linealizacion de la ecuacion Rosin, Rammler y Sperling Log(Ln(M/Ra))

1

-1.5

0.5 f(x) = 1.60607727076312 x − 0.584480856649417 R² = 0.922206351820977 0 -1 -0.5 0

0.5

1

-0.5 -1 -1.5 -2

grafica 3. exuacion -2.5

Log (L)

grafica 3. Grafica de linelizacion correlacion Rosin, Rammler y Sperling

Curva de distribucion de grano 0

0

0.5

1

1.5

2

2.5

3

20

40

60

80

00

20

Luz de malla (mm)

3.5

4

4.5

5

L [mm]

700 320 280 130 110

L [m] 0.7 0.32 0.28 0.13 0.11 TOTAL

R [g] 39.8 24.7 10.5 5.4 8.4 12.19

R c/T 39.4% 24.5% 10.4% 5.3% 8.3% 12.1%

C c/T 60.6% 36.1% 25.7% 20.4% 12.1%

Ra

log(ln(M/Ra)) 39.8 -0.0310 64.5 -0.3484 75 -0.5265 80.4 -0.6421 88.8 -0.8906 100.99

100.99

lo 0.0000 -0.1000 -0.2000

f(x) = 0.960569290 R² = 0.9352990670

-0.3000 -0.4000 -0.5000 -0.6000 -0.7000 -0.8000 -0.9000

-1.0000 2.0000 2.1000 2.2000 2.3000 2

L0 [mm] n intersección

0.00126 0.96057 -2.78399

log(L) 2.8451 2.5051 2.4472 2.1139 2.0414

log(L) f(x) = 0.96056929074876 x − 2.7839897569408 R² = 0.935299067059429

00 2.1000 2.2000 2.3000 2.4000 2.5000 2.6000 2.7000 2.8000 2.9000