Granulometria Total y Dm
4
MEMORIA DE CÁLCULO PRZ INGENIEROS S.A.C. Página: 1 de 4 Especialidad: GEOTECNIA Descripción del Trabajo: Granulometria Total Fecha: July del 2022 DESARROLLO REFERENCIA 1. GRANULOMETRIA SUPERFICIAL GRANULOMETRIA SUPERFICIAL Forma Elipsoide Forma Esfera Área Parcial (%) (%) Acum a (cm) b (cm) r (cm) Ap (cm2) 40 4.00 8.00 100.53 0.284 4.00 9.00 113.10 0.320 4.00 7.00 87.96 0.249 4.00 8.00 100.53 0.284 4.00 9.00 113.10 0.320 4.00 9.00 113.10 0.320 4.00 10.00 125.66 0.355 4.00 5.00 62.83 0.178 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 7.00 87.96 0.249 4.00 6.00 75.40 0.213 4.00 7.00 87.96 0.249 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 5.00 62.83 0.178 4.00 5.00 62.83 0.178 4.00 6.00 75.40 0.213 4.00 6.00 75.40 0.213 4.00 5.00 62.83 0.178 4.00 6.00 75.40 0.213 4.00 50.27 0.142 4.00 5.00 62.83 0.178 4.00 50.27 0.142 4.00 5.00 62.83 0.178 4.00 6.00 75.40 0.213 6.745 50 5.00 8.00 125.66 0.355 5.00 6.00 94.25 0.266 5.00 8.00 125.66 0.355 5.00 7.00 109.96 0.311 5.00 6.00 94.25 0.266 5.00 9.00 141.37 0.399 5.00 8.00 125.66 0.355 5.00 9.00 141.37 0.399 5.00 10.00 157.08 0.444 5.00 9.00 141.37 0.399 5.00 7.00 109.96 0.311 5.00 8.00 125.66 0.355 5.00 7.00 109.96 0.311 5.00 7.00 109.96 0.311 5.00 6.00 94.25 0.266 5.00 6.00 94.25 0.266 5.00 6.00 94.25 0.266 5.00 7.00 109.96 0.311 5.00 8.00 125.66 0.355 5.00 78.54 0.222 5.00 7.00 109.96 0.311 5.00 7.00 109.96 0.311 5.00 78.54 0.222 5.00 78.54 0.222 5.00 6.00 94.25 0.266 7.855 60 6.00 9.00 169.65 0.479 6.00 9.00 169.65 0.479 6.00 12.00 226.19 0.639 6.00 15.00 282.74 0.799 6.00 9.00 169.65 0.479 6.00 8.00 150.80 0.426 6.00 9.00 169.65 0.479 6.00 10.00 188.50 0.533 6.00 10.00 188.50 0.533 6.00 13.00 245.04 0.692 6.00 9.00 169.65 0.479 6.00 7.00 131.95 0.373 6.00 9.00 169.65 0.479 6.00 7.00 131.95 0.373 6.00 113.10 0.320 6.00 7.00 131.95 0.373 6.00 7.00 131.95 0.373 MEMORIA DE CÁLCULO PRZ INGENIEROS S.A.C. Página: 2 de 4 Especialidad: GEOTECNIA Descripción del Trabajo: Granulometria Total Fecha: July del 2022 DESARROLLO REFERENCIA GRANULOMETRIA SUPERFICIAL Forma Elipsoide Forma Esfera Área Parcial (%) (%) Acum a (cm) b (cm) r (cm) Ap (cm2) 6.00 7.00 131.95 0.373 6.00 9.00 169.65 0.479 Diametro (mm) Diametro (mm)
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Granulometria Total y Dm
Transcript of Granulometria Total y Dm
MEMORIA DE CÁLCULO
PRZ INGENIEROS S.A.C.
Página: 1 de 4
Especialidad:
GEOTECNIA
Descripción del Trabajo: Granulometria Total Fecha: April del 2023
DESARROLLO REFERENCIA
1. GRANULOMETRIA SUPERFICIAL
GRANULOMETRIA SUPERFICIALForma Elipsoide Forma Esfera Área Parcial
(%) (%) Acuma (cm) b (cm) r (cm) Ap (cm2)
40
4.00 8.00 100.53 0.2844.00 9.00 113.10 0.3204.00 7.00 87.96 0.2494.00 8.00 100.53 0.2844.00 9.00 113.10 0.3204.00 9.00 113.10 0.3204.00 10.00 125.66 0.3554.00 5.00 62.83 0.1784.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 7.00 87.96 0.2494.00 6.00 75.40 0.2134.00 7.00 87.96 0.2494.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 5.00 62.83 0.1784.00 5.00 62.83 0.1784.00 6.00 75.40 0.2134.00 6.00 75.40 0.2134.00 5.00 62.83 0.1784.00 6.00 75.40 0.213
4.00 50.27 0.1424.00 5.00 62.83 0.178
4.00 50.27 0.1424.00 5.00 62.83 0.1784.00 6.00 75.40 0.213 6.745
50
5.00 8.00 125.66 0.3555.00 6.00 94.25 0.2665.00 8.00 125.66 0.3555.00 7.00 109.96 0.3115.00 6.00 94.25 0.2665.00 9.00 141.37 0.3995.00 8.00 125.66 0.3555.00 9.00 141.37 0.3995.00 10.00 157.08 0.4445.00 9.00 141.37 0.3995.00 7.00 109.96 0.3115.00 8.00 125.66 0.3555.00 7.00 109.96 0.3115.00 7.00 109.96 0.3115.00 6.00 94.25 0.2665.00 6.00 94.25 0.2665.00 6.00 94.25 0.2665.00 7.00 109.96 0.3115.00 8.00 125.66 0.355
5.00 78.54 0.2225.00 7.00 109.96 0.3115.00 7.00 109.96 0.311
5.00 78.54 0.222
5.00 78.54 0.2225.00 6.00 94.25 0.266 7.855
60
6.00 9.00 169.65 0.4796.00 9.00 169.65 0.4796.00 12.00 226.19 0.6396.00 15.00 282.74 0.7996.00 9.00 169.65 0.4796.00 8.00 150.80 0.4266.00 9.00 169.65 0.4796.00 10.00 188.50 0.5336.00 10.00 188.50 0.5336.00 13.00 245.04 0.6926.00 9.00 169.65 0.4796.00 7.00 131.95 0.3736.00 9.00 169.65 0.4796.00 7.00 131.95 0.373
6.00 113.10 0.3206.00 7.00 131.95 0.3736.00 7.00 131.95 0.373
MEMORIA DE CÁLCULO
PRZ INGENIEROS S.A.C.
INFORME DE INGENIERIA DE DESVIO DEL CAUCE DEL RIO HUALLAGAPARA LA REALIZACION DE OBRAS DE BOCATOMA
Diametro (mm)
MEMORIA DE CÁLCULOPágina: 2 de 4
Especialidad:
GEOTECNIA
Descripción del Trabajo: Granulometria Total Fecha: April del 2023
DESARROLLO REFERENCIA
GRANULOMETRIA SUPERFICIALForma Elipsoide Forma Esfera Área Parcial
(%) (%) Acuma (cm) b (cm) r (cm) Ap (cm2)
6.00 7.00 131.95 0.3736.00 9.00 169.65 0.4796.00 8.00 150.80 0.426 9.586
70
7.00 12.00 263.89 0.7467.00 10.00 219.91 0.6217.00 13.00 285.88 0.8087.00 8.00 175.93 0.4977.00 9.00 197.92 0.5597.00 15.00 329.87 0.9327.00 12.00 263.89 0.7467.00 9.00 197.92 0.5597.00 9.00 197.92 0.5597.00 21.00 461.81 1.3057.00 12.00 263.89 0.7467.00 8.00 175.93 0.4977.00 10.00 219.91 0.6217.00 8.00 175.93 0.4977.00 9.00 197.92 0.5597.00 9.00 197.92 0.5597.00 10.00 219.91 0.6217.00 11.00 241.90 0.6837.00 9.00 197.92 0.5597.00 8.00 175.93 0.497
7.00 153.94 0.435
7.00 153.94 0.4357.00 10.00 219.91 0.6217.00 8.00 175.93 0.4977.00 10.00 219.91 0.6217.00 10.00 219.91 0.6217.00 11.00 241.90 0.6837.00 8.00 175.93 0.497
7.00 153.94 0.4357.00 11.00 241.90 0.6837.00 9.00 197.92 0.559 19.260
80
8.00 13.00 326.73 0.9238.00 12.00 301.59 0.8528.00 12.00 301.59 0.8528.00 14.00 351.86 0.9948.00 10.00 251.33 0.7108.00 13.00 326.73 0.9238.00 13.00 326.73 0.9238.00 10.00 251.33 0.7108.00 11.00 276.46 0.7818.00 12.00 301.59 0.8528.00 7.00 175.93 0.4978.00 9.00 226.19 0.6398.00 5.00 125.66 0.3558.00 10.00 251.33 0.710 10.722
90
9.00 14.00 395.84 1.1189.00 10.00 282.74 0.799
9.00 254.47 0.7199.00 12.00 339.29 0.9599.00 12.00 339.29 0.9599.00 11.00 311.02 0.8799.00 14.00 395.84 1.1189.00 10.00 282.74 0.7999.00 11.00 311.02 0.8799.00 15.00 424.12 1.1989.00 4.00 113.10 0.320 9.745
100
10.00 12.00 376.99 1.06510.00 13.00 408.41 1.15410.00 12.00 376.99 1.06510.00 16.00 502.65 1.42010.00 14.00 439.82 1.24310.00 15.00 471.24 1.33110.00 13.00 408.41 1.15410.00 12.00 376.99 1.06510.00 12.00 376.99 1.065
10.00 314.16 0.88810.00 13.00 408.41 1.154 12.603
11011.00 380.13 1.074
11.00 6.00 207.35 0.58611.00 18.00 622.04 1.757 3.417
INFORME DE INGENIERIA DE DESVIO DEL CAUCE DEL RIO HUALLAGAPARA LA REALIZACION DE OBRAS DE BOCATOMA
Diametro (mm)
MEMORIA DE CÁLCULO
PRZ INGENIEROS S.A.C.
Página: 3 de 4
Especialidad:
GEOTECNIA
Descripción del Trabajo: Granulometria Total Fecha: April del 2023
DESARROLLO REFERENCIA
GRANULOMETRIA SUPERFICIALForma Elipsoide Forma Esfera Área Parcial
(%) (%) Acuma (cm) b (cm) r (cm) Ap (cm2)
120
12.00 13.00 490.09 1.38512.00 16.00 603.19 1.70412.00 18.00 678.58 1.91712.00 15.00 565.49 1.59812.00 14.00 527.79 1.491 8.094
130
13.00 23.00 939.34 2.65413.00 15.00 612.61 1.73113.00 19.00 775.97 2.192 6.577
140 14.00 22.00 967.61 2.734 2.734
150 15.00 20.00 942.48 2.663 2.663
Area Total 35396.32
2. CURVA GRANULOMETRICA SUPERFICIAL
(%) Retenido Di^x fi*Di^x f'i*100 f'i Acum (%) Ac. pasa
150 0.00 0.00 100.00 0.007 0.00 0.00 0.00 0.00 100.00140 2.66 2.66 97.34 0.007 0.02 0.01 1.23 1.23 98.77130 2.73 5.40 94.60 0.008 0.02 0.01 1.36 2.58 97.42120 6.58 11.97 88.03 0.008 0.05 0.04 3.53 6.11 93.89110 8.09 20.07 79.93 0.009 0.07 0.05 4.74 10.86 89.14100 3.42 23.48 76.52 0.010 0.03 0.02 2.20 13.06 86.9490 12.60 36.09 63.91 0.011 0.14 0.09 9.03 22.08 77.9280 9.75 45.83 54.17 0.013 0.12 0.08 7.85 29.94 70.0670 10.72 56.55 43.45 0.014 0.15 0.10 9.87 39.81 60.1960 19.26 75.81 24.19 0.017 0.32 0.21 20.69 60.50 39.5050 9.59 85.40 14.60 0.020 0.19 0.12 12.36 72.85 27.1540 7.85 93.25 6.75 0.025 0.20 0.13 12.66 85.51 14.4930 6.75 100.00 0.00 0.033 0.22 0.14 14.49 100.00 0.00∑ 100.00 ∑ 1.55
MEMORIA DE CÁLCULO
PRZ INGENIEROS S.A.C.
INFORME DE INGENIERIA DE DESVIO DEL CAUCE DEL RIO HUALLAGAPARA LA REALIZACION DE OBRAS DE BOCATOMA
Diametro (mm)
Diametro (mm)
(%) Retenido Acum.
(%) Acum. que pasa
fi*Di^x/∑(fi*Di^x)
1010010000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
GRANULOMETRIA SUPERFICIAL
Diámetro (mm)
% A
cum
ulad
o qu
e pa
sa
MEMORIA DE CÁLCULOPágina: 4 de 4
Especialidad:
GEOTECNIA
Descripción del Trabajo: Granulometria Total Fecha: April del 2023
DESARROLLO REFERENCIA
3. GRANULOMETRIA TOTAL Y DIAMETRO MEDIO
pi di*pi
150.000 100.00 1.23 183.87140.000 98.77 1.36 189.74130.000 97.42 3.53 459.21120.000 93.89 4.74 569.13110.000 89.14 2.20 242.26100.000 86.94 9.03 902.5590.000 77.92 7.85 706.6180.000 70.06 9.87 789.7470.000 60.19 20.69 1448.2160.000 Interpolacion 39.50 11.71 702.5250.800 100 0.278 27.80 0.44 22.1738.100 98.43 27.36 0.63 23.8325.400 96.18 26.73 1.01 25.7019.050 92.54 25.72 2.50 47.669.525 83.54 23.22 3.30 31.404.760 71.68 19.92 4.56 21.702.000 55.28 15.37 6.78 13.560.840 30.88 8.58 5.39 4.530.426 11.49 3.19 1.89 0.810.250 4.69 1.30 0.72 0.180.149 2.09 0.58 0.31 0.050.074 0.97 0.27 0.27 0.02
∑ 100.00 6385.43
El diámetro medio es:
Dm = 64 mm
INFORME DE INGENIERIA DE DESVIO DEL CAUCE DEL RIO HUALLAGAPARA LA REALIZACION DE OBRAS DE BOCATOMA
Diametro di (mm)
(%) Acum. Que pasa
Factor de reducción
(%) Final Acum. Pasa
𝐷𝑚=(∑▒〖 (𝑑_𝑖 𝑝_𝑖)〗 )/(∑▒𝑝_𝑖 )
0.0100.1001.00010.000100.0001000.0000.00
10.00
20.00
30.00
40.00
50.00
60.00
70.00
80.00
90.00
100.00
GRANULOMETRIA TOTAL
Diámetro (mm)
% A
cum
ulad
o qu
e pa
sa
