forestal, Tabla para cubicar madera, maderas, cubicación

116,558 views 48 slides Oct 28, 2014
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TABLA PARA CUBICAR MADERA
(ROLLIZA – ASERRADA)

De acuerdo a las normas legales peruanas

Contenido

Pagina
Introducción

Introducción

El objetivo principal de esta tabla de cubicar madera, es ofrecer a las
personas dedicadas al aprovechamiento, transporte, transformación,
y comercialización de la madera, un instrumento impreso de rápido
acceso, que contiene información sobre el procedimiento de medición
y cubicación de madera rolliza y aserrada, la tabla de cubicación con
información relacionada al diámetro, longitud y volumen de las trozas
y piezas de madera de acuerdo a lo que establece las normas legales
del Perú.

Esta información es muy importante al momento de realizar el llenado
de las Listas de Trozas y/o Cuartones, para el trámite de la Guía de
Transporte Forestal, que exige la Ley Forestal y de Fauna Silvestre de
nuestro país, para el transporte, transformación y comercialización de
la madera.

Si bien el proceso de medición y cubicación es tediosa y en la cual se
deben tener los cuidados que este amerita, para poder tener la
información real de la madera, la tabla de cubicación nos permite
reducir el proceso y tener la información de cubicación de la madera
de una manera más rápida.

1
CUBICACION DE MADERA

Cubicación de Madera
(Medición de Volúmenes de Madera)
Para la presente tabla, la cubicación de madera corresponde a la
cuantificación del volumen de la madera en trozas y madera
aserrada, utilizando las fórmulas establecidas y/o recomendadas
por las normas legales de nuestro país.

Para el cálculo de los volúmenes de la madera, debemos de
comprender, que se utilizan fórmulas matemáticas muy
distintas, para hallar el volumen de madera rolliza o en trozas,
qué para el cálculo del volumen de las piezas de madera
aserrada.

Mediante el procedimiento de la cubicación de la troza y/o pieza
aserrada, se hallara el volumen de la madera, la misma que
puede ser en metros cúbicos de madera rolliza o aserrada, ó su
conversión a pies tablares.

La conversión a pies tablares, si bien es una unidad de medida
inglesa, esta se realiza, porque la comercialización de la madera
en nuestro país se realiza en la unidad de pie tablar.

2
MADERA ROLLIZA

(Resolución Ministerial N°033 – 97-AG)
RESOLUCION QUE APRUEBA LA TABLA OFICIAL DE
CUBICACION DE MADERA ROLLIZA DE APLICACIÓN
EN LA SELVA DEL PERÚ
(Vigente a marzo del 2013)

Madera rolliza (r):
Madera en su estado natural, con o sin corteza, entera o en
troza. (Reglamento de la Ley Forestal y de Fauna Silvestre, Articulo 3
Definiciones).












Troza:
Madera seccionada del tronco de un árbol.

Diámetro de la Troza:




Dm DM

Diámetro promedio de la Troza (Dẋ):
Es igual a la suma del diámetro mayor, más el diámetro menor,
dividido entre dos, las medidas deben ser en metros.




??????ẋ=
????????????+??????�
�

Longitud de la Troza:
Es la distancia de entre los cortes transversales de la Troza,
debe ser en metros.





Dm DM
L
Para el cálculo del volumen de madera rolliza de las trozas en el
presente manual, todas las unidades de medidas deben estar en
metros.

Fórmula Utilizada para Calcular el Volumen de la Troza:
Para el cálculo del volumen de madera en trozas, se aplica la
fórmula de SMALIAN.

??????????????????�????????????= ?????? ??????
(??????ẋ)2
4
????????????
V troza = Volumen de troza.
π = 3.1416 (constante).
Dẋ
2
= Diámetro promedio al cuadrado (metros).
L = Longitud (metros).


Calculamos: Calculamos el volumen de la troza.





1° Hallamos el diámetro promedio de la troza:
??????ẋ=
0.70+0.62
2
= �.????????????
2° Hallamos el Volumen de la Troza
??????????????????�????????????=3.1416 ??????
(0.66)2
4
??????3= 1.026 m
3

0.62 0.70
3.00

3° Convertimos el volumen de la troza a pies tablares.
V pt = 1.026 X 220 = 225.72
Por lo tanto:
Una troza de madera rolliza que tiene diámetro promedio igual a 0.66
metros y una longitud de 3 metros, nos dará un volumen de 1.026 metros
cúbicos, equivalente a 225.72 pies tablares.

Coeficiente de Rendimiento del volumen de la troza:
El coeficiente de rendimiento de madera aserrada por cada
metro cubico de madera rollizo, que se viene utilizando a nivel
nacional para todas las especies forestales maderables es de
52% (por cada metro cubico de madera rolliza se obtiene 220 pt
de madera aserrada). Citada en la Resolución Jefatural N°014 – 2005
– INRENA y Resolución Jefatural N°032-2008-INRENA.

Entonces, considerando lo enunciado:
- 1 m
3
de madera rolliza, rinde 0.52 m
3
de madera
aserrada.
- 1m
3
de madera rolliza es equivalente a 220 pt., de
madera aserrada.
- 1m
3
de madera aserrada es equivalente a 1.92 m
3
de
madera rolliza.
- 1m3 de madera aserrada es equivalente a 424 pt.

Longitud de troza en metros

Tabla de Cubicación de Madera Rolliza
(Resolución Ministerial N°033-97-AG)

Según el Art. 1° de la Resolución Ministerial N°033 –97–AG, la
tabla de cubicación de madera rolliza es aplicable a todas las
especies maderables de la región selva del Perú.
Para el uso de la tabla, se debe de considerar lo siguiente:
1. El cálculo procede con el diámetro promedio de la troza (Dẋ),
en metros.
2. La Longitud de la troza (L) debe estar en metros.
3. Todas las medidas deben encontrarse con redondeo simple,
no deben encontrarse en decimales.
4. El volumen de la troza esta expresada en metros cúbicos
rollizo.
5. Para calcular el volumen a pies tablares, se debe multiplicar
por 220.








Diámetro de la troza
0.40
3
0.37
Volumen en metros cúbicos rollizo

Diametro0.500.600.700.800.901.001.21.30
0.21 0.0170.0210.0240.0280.0310.0350.0420.045
0.22 0.0190.0230.0270.0300.0340.0380.0460.049
0.23 0.0210.0250.0290.0330.0370.0420.0500.054
0.24 0.0230.0270.0320.0360.0410.0450.0540.059
0.25 0.0250.0290.0340.0390.0440.0490.0590.064
0.26 0.0270.0320.0370.0420.0480.0530.0640.069
0.27 0.0290.0340.0400.0460.0520.0570.0690.074
0.28 0.0310.0370.0430.0490.0550.0620.0740.080
0.29 0.0330.0400.0460.0530.0590.0660.0790.086
0.30 0.0350.0420.0490.0570.0640.0710.0850.092
0.31 0.0380.0450.0530.0600.0680.0750.0910.098
0.32 0.0400.0480.0560.0640.0720.0800.0970.105
0.33 0.0430.0510.0600.0680.0770.0860.1030.111
0.34 0.0450.0540.0640.0730.0820.0910.1090.118
0.35 0.0480.0580.0670.0770.0870.0960.1150.125
0.36 0.0510.0610.0710.0810.0920.1020.1220.132
0.37 0.0540.0650.0750.0860.0970.1080.1290.140
0.38 0.0570.0680.0790.0910.1020.1130.1360.147
0.39 0.0600.0720.0840.0960.1080.1190.1430.155
0.40 0.0630.0750.0880.1010.1130.1260.1510.163
0.41 0.0660.0790.0920.1060.1190.1320.1580.172
0.42 0.0690.0830.0970.1110.1250.1390.1660.180
0.43 0.0730.0870.1020.1160.1310.1450.1740.189
0.44 0.0760.0910.1060.1220.1370.1520.1820.198
0.45 0.0800.0950.1110.1270.1430.1590.1910.207
0.46 0.0830.1000.1160.1330.1500.1660.1990.216
0.47 0.0870.1040.1210.1390.1560.1730.2080.226
0.48 0.0900.1090.1270.1450.1630.1810.2170.235
0.49 0.0940.1130.1320.1510.1700.1890.2260.245
0.50 0.0980.1180.1370.1570.1770.1960.2360.255
Longitud Longitud Diámetro
0.50 a 1.30 0.21 a 0.50

Diametro0.500.600.700.800.901.001.201.30
0.510.1020.1230.1430.1630.1840.2040.2450.266
0.520.1060.1270.1490.1700.1910.2120.2550.276
0.530.1100.1320.1540.1760.1990.2210.2650.287
0.540.1150.1370.1600.1830.2060.2290.2750.298
0.550.1190.1430.1660.1900.2140.2380.2850.309
0.560.1230.1480.1720.1970.2220.2460.2960.320
0.570.1280.1530.1790.2040.2300.2550.3060.332
0.580.1320.1590.1850.2110.2380.2640.3170.343
0.590.1370.1640.1910.2190.2460.2730.3280.355
0.600.1410.1700.1980.2260.2540.2830.3390.368
0.610.1460.1750.2050.2340.2630.2920.3510.380
0.620.1510.1810.2110.2420.2720.3020.3620.392
0.630.1560.1870.2180.2490.2810.3120.3740.405
0.640.1610.1930.2250.2570.2900.3220.3860.418
0.650.1660.1990.2320.2650.2990.3320.3980.431
0.660.1710.2050.2390.2740.3080.3420.4110.445
0.670.1760.2120.2470.2820.3170.3530.4230.458
0.680.1820.2180.2540.2910.3270.3630.4360.472
0.690.1870.2240.2620.2990.3370.3740.4490.486
0.700.1920.2310.2690.3080.3460.3850.4620.500
0.710.1980.2380.2770.3170.3560.3960.4750.515
0.720.2040.2440.2850.3260.3660.4070.4890.529
0.730.2090.2510.2930.3350.3770.4190.5020.544
0.740.2150.2580.3010.3440.3870.4300.5160.559
0.750.2210.2650.3090.3530.3980.4420.5300.574
0.760.2270.2720.3180.3630.4080.4540.5440.590
0.770.2330.2790.3260.3730.4190.4660.5590.605
0.780.2390.2870.3340.3820.4300.4780.5730.621
0.790.2450.2940.3430.3920.4410.4900.5880.637
0.800.2510.3020.3520.4020.4520.5030.6030.653
Longitud Longitud Diámetro
0.50 a 1.30 0.51 a 0.80

Diametro0.500.600.700.800.901.001.201.30
0.810.2580.3090.3610.4120.4640.5150.6180.670
0.820.2640.3170.3700.4220.4750.5280.6340.687
0.830.2710.3250.3790.4330.4870.5410.6490.703
0.840.2770.3330.3880.4430.4990.5540.6650.720
0.850.2840.3400.3970.4540.5110.5670.6810.738
0.860.2900.3490.4070.4650.5230.5810.6970.755
0.870.2970.3570.4160.4760.5350.5940.7130.773
0.880.3040.3650.4260.4870.5470.6080.7300.791
0.890.3110.3730.4350.4980.5600.6220.7470.809
0.900.3180.3820.4450.5090.5730.6360.7630.827
0.910.3250.3900.4550.5200.5850.6500.7800.846
0.920.3320.3990.4650.5320.5980.6650.7980.864
0.930.3400.4080.4760.5430.6110.6790.8150.883
0.940.3470.4160.4860.5550.6250.6940.8330.902
0.950.3540.4250.4960.5670.6380.7090.8510.921
0.960.3620.4340.5070.5790.6510.7240.8690.941
0.970.3690.4430.5170.5910.6650.7390.8870.961
0.980.3770.4530.5280.6030.6790.7540.9050.981
0.990.3850.4620.5390.6160.6930.7700.9241.001
1.000.3930.4710.5500.6280.7070.7850.9421.021
1.010.4010.4810.5610.6410.7210.8010.9611.042
1.020.4090.4900.5720.6540.7350.8170.9811.062
1.030.4170.5000.5830.6670.7500.8331.0001.083
1.040.4250.5100.5950.6800.7650.8491.0191.104
1.050.4330.5200.6060.6930.7790.8661.0391.126
1.060.4410.5290.6180.7060.7940.8821.0591.147
1.070.4500.5400.6290.7190.8090.8991.0791.169
1.080.4580.5500.6410.7330.8240.9161.0991.191
1.090.4670.5600.6530.7470.8400.9331.1201.213
1.100.4750.5700.6650.7600.8550.9501.1401.235
Longitud Longitud Diámetro
0.81 a 1.10 0.81 a 1.10

Diametro0.500.600.700.800.901.001.201.30
1.110.4840.5810.6770.7740.8710.9681.1611.258
1.120.4930.5910.6900.7880.8870.9851.1821.281
1.130.5010.6020.7020.8020.9031.0031.2031.304
1.140.5100.6120.7140.8170.9191.0211.2251.327
1.150.5190.6230.7270.8310.9351.0391.2461.350
1.160.5280.6340.7400.8450.9511.0571.2681.374
1.170.5380.6450.7530.8600.9681.0751.2901.398
1.180.5470.6560.7660.8750.9841.0941.3121.422
1.190.5560.6670.7790.8901.0011.1121.3351.446
1.200.5650.6790.7920.9051.0181.1311.3571.470
1.210.5750.6900.8050.9201.0351.1501.3801.495
1.220.5840.7010.8180.9351.0521.1691.4031.520
1.230.5940.7130.8320.9511.0691.1881.4261.545
1.240.6040.7250.8450.9661.0871.2081.4491.570
1.250.6140.7360.8590.9821.1041.2271.4731.595
1.260.6230.7480.8730.9981.1221.2471.4961.621
1.270.6330.7600.8871.0131.1401.2671.5201.647
1.280.6430.7720.9011.0291.1581.2871.5441.673
1.290.6530.7840.9151.0461.1761.3071.5681.699
1.300.6640.7960.9291.0621.1951.3271.5931.726
1.310.6740.8090.9431.0781.2131.3481.6171.752
1.320.6840.8210.9581.0951.2321.3681.6421.779
1.330.6950.8340.9731.1111.2501.3891.6671.806
1.340.7050.8460.9871.1281.2691.4101.6921.833
1.350.7160.8591.0021.1451.2881.4311.7181.861
1.360.7260.8721.0171.1621.3071.4531.7431.888
1.370.7370.8841.0321.1791.3271.4741.7691.916
1.380.7480.8971.0471.1971.3461.4961.7951.944
1.390.7590.9101.0621.2141.3661.5171.8211.973
1.400.7700.9241.0781.2321.3851.5391.8472.001
Longitud Longitud Diámetro
0.50 a 1.30 1.11 a 1.40

Diametro0.500.600.700.800.901.001.201.30
1.41 0.7810.9371.0931.2491.4051.5611.8742.030
1.42 0.7920.9501.1091.2671.4251.5841.9002.059
1.43 0.8030.9641.1241.2851.4451.6061.9272.088
1.44 0.8140.9771.1401.3031.4661.6291.9542.117
1.45 0.8260.9911.1561.3211.4861.6511.9822.147
1.46 0.8371.0041.1721.3391.5071.6742.0092.176
1.47 0.8491.0181.1881.3581.5271.6972.0372.206
1.48 0.8601.0321.2041.3761.5481.7202.0642.236
1.49 0.8721.0461.2211.3951.5691.7442.0922.267
1.50 0.8841.0601.2371.4141.5901.7672.1212.297
1.51 0.8951.0741.2541.4331.6121.7912.1492.328
1.52 0.9071.0891.2701.4521.6331.8152.1782.359
1.53 0.9191.1031.2871.4711.6551.8392.2062.390
1.54 0.9311.1181.3041.4901.6761.8632.2352.421
1.55 0.9431.1321.3211.5101.6981.8872.2642.453
1.56 0.9561.1471.3381.5291.7201.9112.2942.485
1.57 0.9681.1621.3551.5491.7421.9362.3232.517
1.58 0.9801.1761.3721.5691.7651.9612.3532.549
1.59 0.9931.1911.3901.5881.7871.9862.3832.581
1.60 1.0051.2061.4071.6081.8102.0112.4132.614
1.61 1.0181.2221.4251.6291.8322.0362.4432.647
1.62 1.0311.2371.4431.6491.8552.0612.4732.680
1.63 1.0431.2521.4611.6691.8782.0872.5042.713
1.64 1.0561.2671.4791.6901.9012.1122.5352.746
1.65 1.0691.2831.4971.7111.9242.1382.5662.780
1.66 1.0821.2991.5151.7311.9482.1642.5972.814
1.67 1.0951.3141.5331.7521.9712.1902.6282.848
1.68 1.1081.3301.5521.7731.9952.2172.6602.882
1.69 1.1221.3461.5701.7952.0192.2432.6922.916
1.70 1.1351.3621.5891.8162.0432.2702.7242.951
Longitud




















Longitud Diámetro
0.50 a 1.30 1.41 a 1.70

Diametro0.500.600.700.800.901.001.201.30
1.71 1.1481.3781.6081.8372.0672.2972.7562.986
1.72 1.1621.3941.6261.8592.0912.3242.7883.021
1.73 1.1751.4101.6451.8802.1162.3512.8213.056
1.74 1.1891.4271.6651.9022.1402.3782.8533.091
1.75 1.2031.4431.6841.9242.1652.4052.8863.127
1.76 1.2161.4601.7031.9462.1902.4332.9193.163
1.77 1.2301.4761.7221.9682.2152.4612.9533.199
1.78 1.2441.4931.7421.9912.2402.4882.9863.235
1.79 1.2581.5101.7622.0132.2652.5173.0203.271
1.80 1.2721.5271.7812.0362.2902.5453.0543.308
1.81 1.2871.5441.8012.0582.3162.5733.0883.345
1.82 1.3011.5611.8212.0812.3412.6023.1223.382
1.83 1.3151.5781.8412.1042.3672.6303.1563.419
1.84 1.3301.5951.8612.1272.3932.6593.1913.457
1.85 1.3441.6131.8822.1502.4192.6883.2263.494
1.86 1.3591.6301.9022.1742.4452.7173.2613.532
1.87 1.3731.6481.9232.1972.4722.7463.2963.570
1.88 1.3881.6661.9432.2212.4982.7763.3313.609
1.89 1.4031.6831.9642.2442.5252.8063.3673.647
1.90 1.4181.7011.9852.2682.5522.8353.4023.686
1.91 1.4331.7192.0062.2922.5792.8653.4383.725
1.92 1.4481.7372.0272.3162.6062.8953.4743.764
1.93 1.4631.7552.0482.3402.6332.9263.5113.803
1.94 1.4781.7742.0692.3652.6602.9563.5473.843
1.95 1.4931.7922.0912.3892.6882.9863.5843.882
1.96 1.5091.8102.1122.4142.7153.0173.6213.922
1.97 1.5241.8292.1342.4382.7433.0483.6583.962
1.98 1.5401.8472.1552.4632.7713.0793.6954.003
1.99 1.5551.8662.1772.4882.7993.1103.7324.043
2.00 1.5711.8852.1992.5132.8273.1423.7704.084
Longitud




















Longitud Diámetro
0.50 a 1.30 1.71 a 2.00

Diametro1.401.501.601.701.801.902.002.10
0.210.0480.0520.0550.0590.0620.0660.0690.073
0.220.0530.0570.0610.0650.0680.0720.0760.080
0.230.0580.0620.0660.0710.0750.0790.0830.087
0.240.0630.0680.0720.0770.0810.0860.0900.095
0.250.0690.0740.0790.0830.0880.0930.0980.103
0.260.0740.0800.0850.0900.0960.1010.1060.111
0.270.0800.0860.0920.0970.1030.1090.1150.120
0.280.0860.0920.0990.1050.1110.1170.1230.129
0.290.0920.0990.1060.1120.1190.1250.1320.139
0.300.0990.1060.1130.1200.1270.1340.1410.148
0.310.1060.1130.1210.1280.1360.1430.1510.159
0.320.1130.1210.1290.1370.1450.1530.1610.169
0.330.1200.1280.1370.1450.1540.1630.1710.180
0.340.1270.1360.1450.1540.1630.1730.1820.191
0.350.1350.1440.1540.1640.1730.1830.1920.202
0.360.1430.1530.1630.1730.1830.1930.2040.214
0.370.1510.1610.1720.1830.1940.2040.2150.226
0.380.1590.1700.1810.1930.2040.2150.2270.238
0.390.1670.1790.1910.2030.2150.2270.2390.251
0.400.1760.1880.2010.2140.2260.2390.2510.264
0.410.1850.1980.2110.2240.2380.2510.2640.277
0.420.1940.2080.2220.2360.2490.2630.2770.291
0.430.2030.2180.2320.2470.2610.2760.2900.305
0.440.2130.2280.2430.2580.2740.2890.3040.319
0.450.2230.2390.2540.2700.2860.3020.3180.334
0.460.2330.2490.2660.2830.2990.3160.3320.349
0.470.2430.2600.2780.2950.3120.3300.3470.364
0.480.2530.2710.2900.3080.3260.3440.3620.380
0.490.2640.2830.3020.3210.3390.3580.3770.396
0.500.2750.2950.3140.3340.3530.3730.3930.412
Longitud




















Longitud Diámetro
1.40 a 2.10 0.21 a 0.50

Diametro1.401.501.601.701.801.902.002.10
0.510.2860.3060.3270.3470.3680.3880.4090.429
0.520.2970.3190.3400.3610.3820.4040.4250.446
0.530.3090.3310.3530.3750.3970.4190.4410.463
0.540.3210.3440.3660.3890.4120.4350.4580.481
0.550.3330.3560.3800.4040.4280.4510.4750.499
0.560.3450.3690.3940.4190.4430.4680.4930.517
0.570.3570.3830.4080.4340.4590.4850.5100.536
0.580.3700.3960.4230.4490.4760.5020.5280.555
0.590.3830.4100.4370.4650.4920.5190.5470.574
0.600.3960.4240.4520.4810.5090.5370.5650.594
0.610.4090.4380.4680.4970.5260.5550.5840.614
0.620.4230.4530.4830.5130.5430.5740.6040.634
0.630.4360.4680.4990.5300.5610.5920.6230.655
0.640.4500.4830.5150.5470.5790.6110.6430.676
0.650.4650.4980.5310.5640.5970.6300.6640.697
0.660.4790.5130.5470.5820.6160.6500.6840.718
0.670.4940.5290.5640.5990.6350.6700.7050.740
0.680.5080.5450.5810.6170.6540.6900.7260.763
0.690.5240.5610.5980.6360.6730.7100.7480.785
0.700.5390.5770.6160.6540.6930.7310.7700.808
0.710.5540.5940.6330.6730.7130.7520.7920.831
0.720.5700.6110.6510.6920.7330.7740.8140.855
0.730.5860.6280.6700.7120.7530.7950.8370.879
0.740.6020.6450.6880.7310.7740.8170.8600.903
0.750.6190.6630.7070.7510.7950.8390.8840.928
0.760.6350.6800.7260.7710.8170.8620.9070.953
0.770.6520.6980.7450.7920.8380.8850.9310.978
0.780.6690.7170.7650.8120.8600.9080.9561.003
0.790.6860.7350.7840.8330.8820.9310.9801.029
0.800.7040.7540.8040.8550.9050.9551.0051.056
Longitud




















Longitud Diámetro
1.40 a 2.10 0.51 a 0.80

Longitud Diámetro
1.40 a 2.10 0.81 a 1.10 Diametro1.401.501.601.701.801.902.002.10
0.810.7210.7730.8240.8760.9280.9791.0311.082
0.820.7390.7920.8450.8980.9511.0031.0561.109
0.830.7570.8120.8660.9200.9741.0281.0821.136
0.840.7760.8310.8870.9420.9981.0531.1081.164
0.850.7940.8510.9080.9651.0211.0781.1351.192
0.860.8130.8710.9290.9871.0461.1041.1621.220
0.870.8320.8920.9511.0111.0701.1291.1891.248
0.880.8510.9120.9731.0341.0951.1561.2161.277
0.890.8710.9330.9951.0581.1201.1821.2441.306
0.900.8910.9541.0181.0811.1451.2091.2721.336
0.910.9110.9761.0411.1061.1711.2361.3011.366
0.920.9310.9971.0641.1301.1971.2631.3301.396
0.930.9511.0191.0871.1551.2231.2911.3591.427
0.940.9721.0411.1101.1801.2491.3191.3881.457
0.950.9921.0631.1341.2051.2761.3471.4181.489
0.961.0131.0861.1581.2311.3031.3751.4481.520
0.971.0351.1081.1821.2561.3301.4041.4781.552
0.981.0561.1311.2071.2821.3581.4331.5091.584
0.991.0781.1551.2321.3091.3861.4631.5401.617
1.001.1001.1781.2571.3351.4141.4921.5711.649
1.011.1221.2021.2821.3621.4421.5221.6021.682
1.021.1441.2261.3071.3891.4711.5531.6341.716
1.031.1671.2501.3331.4161.5001.5831.6661.750
1.041.1891.2741.3591.4441.5291.6141.6991.784
1.051.2121.2991.3851.4721.5591.6451.7321.818
1.061.2351.3241.4121.5001.5881.6771.7651.853
1.071.2591.3491.4391.5291.6191.7081.7981.888
1.081.2831.3741.4661.5571.6491.7411.8321.924
1.091.3061.4001.4931.5861.6801.7731.8661.960
1.101.3301.4261.5211.6161.7111.8061.9011.996
Longitud

Longitud Diámetro
1.40 a 2.10 1.11 a 1.40


















Diametro1.401.501.601.701.801.902.002.10
1.111.3551.4521.5481.6451.7421.8391.9352.032
1.121.3791.4781.5761.6751.7731.8721.9702.069
1.131.4041.5041.6051.7051.8051.9052.0062.106
1.141.4291.5311.6331.7351.8371.9392.0412.143
1.151.4541.5581.6621.7661.8701.9742.0772.181
1.161.4801.5851.6911.7971.9022.0082.1142.219
1.171.5051.6131.7201.8281.9352.0432.1502.258
1.181.5311.6401.7501.8591.9682.0782.1872.297
1.191.5571.6681.7801.8912.0022.1132.2242.336
1.201.5831.6961.8101.9232.0362.1492.2622.375
1.211.6101.7251.8401.9552.0702.1852.3002.415
1.221.6371.7531.8701.9872.1042.2212.3382.455
1.231.6641.7821.9012.0202.1392.2582.3762.495
1.241.6911.8111.9322.0532.1742.2942.4152.536
1.251.7181.8411.9642.0862.2092.3322.4542.577
1.261.7461.8701.9952.1202.2442.3692.4942.618
1.271.7731.9002.0272.1542.2802.4072.5342.660
1.281.8021.9302.0592.1882.3162.4452.5742.702
1.291.8301.9602.0912.2222.3532.4832.6142.745
1.301.8581.9912.1242.2562.3892.5222.6552.787
1.311.8872.0222.1572.2912.4262.5612.6962.830
1.321.9162.0532.1902.3262.4632.6002.7372.874
1.331.9452.0842.2232.3622.5012.6402.7792.918
1.341.9742.1152.2562.3972.5382.6802.8212.962
1.352.0042.1472.2902.4332.5772.7202.8633.006
1.362.0342.1792.3242.4702.6152.7602.9053.051
1.372.0642.2112.3592.5062.6532.8012.9483.096
1.382.0942.2442.3932.5432.6922.8422.9913.141
1.392.1242.2762.4282.5802.7312.8833.0353.187
1.402.1552.3092.4632.6172.7712.9253.0793.233
Longitud

Diametro1.401.501.601.701.801.902.002.10
1.41 2.1862.3422.4982.6542.8112.9673.1233.279
1.42 2.2172.3762.5342.6922.8513.0093.1673.326
1.43 2.2482.4092.5702.7302.8913.0523.2123.373
1.44 2.2802.4432.6062.7692.9313.0943.2573.420
1.45 2.3122.4772.6422.8072.9723.1373.3033.468
1.46 2.3442.5112.6792.8463.0133.1813.3483.516
1.47 2.3762.5462.7152.8853.0553.2253.3943.564
1.48 2.4082.5812.7532.9253.0973.2693.4413.613
1.49 2.4412.6152.7902.9643.1393.3133.4873.662
1.50 2.4742.6512.8273.0043.1813.3583.5343.711
1.51 2.5072.6862.8653.0443.2233.4033.5823.761
1.52 2.5402.7222.9033.0853.2663.4483.6293.811
1.53 2.5742.7582.9423.1263.3093.4933.6773.861
1.54 2.6082.7942.9803.1673.3533.5393.7253.912
1.55 2.6422.8303.0193.2083.3963.5853.7743.963
1.56 2.6762.8673.0583.2493.4403.6323.8234.014
1.57 2.7102.9043.0973.2913.4853.6783.8724.065
1.58 2.7452.9413.1373.3333.5293.7253.9214.117
1.59 2.7802.9783.1773.3753.5743.7733.9714.170
1.60 2.8153.0163.2173.4183.6193.8204.0214.222
1.61 2.8503.0543.2573.4613.6653.8684.0724.275
1.62 2.8863.0923.2983.5043.7103.9164.1224.329
1.63 2.9213.1303.3393.5473.7563.9654.1734.382
1.64 2.9573.1693.3803.5913.8024.0144.2254.436
1.65 2.9943.2073.4213.6353.8494.0634.2774.490
1.66 3.0303.2463.4633.6793.8964.1124.3284.545
1.67 3.0673.2863.5053.7243.9434.1624.3814.600
1.68 3.1033.3253.5473.7683.9904.2124.4334.655
1.69 3.1403.3653.5893.8134.0384.2624.4864.711
1.70 3.1783.4053.6323.8594.0864.3134.5404.767
Longitud Longitud Diámetro
1.40 a 2.10 1.41 a 1.70

Diametro1.401.501.601.701.801.902.002.10
1.71 3.2153.4453.6753.9044.1344.3644.5934.823
1.72 3.2533.4853.7183.9504.1824.4154.6474.879
1.73 3.2913.5263.7613.9964.2314.4664.7014.936
1.74 3.3293.5673.8054.0424.2804.5184.7564.994
1.75 3.3673.6083.8484.0894.3304.5704.8115.051
1.76 3.4063.6493.8934.1364.3794.6224.8665.109
1.77 3.4453.6913.9374.1834.4294.6754.9215.167
1.78 3.4843.7333.9824.2304.4794.7284.9775.226
1.79 3.5233.7754.0264.2784.5304.7815.0335.285
1.80 3.5633.8174.0724.3264.5804.8355.0895.344
1.81 3.6023.8604.1174.3744.6314.8895.1465.403
1.82 3.6423.9024.1624.4234.6834.9435.2035.463
1.83 3.6823.9454.2084.4714.7344.9975.2605.523
1.84 3.7233.9894.2544.5204.7865.0525.3185.584
1.85 3.7634.0324.3014.5704.8385.1075.3765.645
1.86 3.8044.0764.3474.6194.8915.1635.4345.706
1.87 3.8454.1204.3944.6694.9445.2185.4935.768
1.88 3.8864.1644.4414.7194.9975.2745.5525.829
1.89 3.9284.2084.4894.7695.0505.3315.6115.892
1.90 3.9694.2534.5364.8205.1045.3875.6715.954
1.91 4.0114.2984.5844.8715.1575.4445.7306.017
1.92 4.0534.3434.6324.9225.2125.5015.7916.080
1.93 4.0964.3884.6814.9735.2665.5595.8516.144
1.94 4.1384.4344.7295.0255.3215.6165.9126.207
1.95 4.1814.4804.7785.0775.3765.6745.9736.272
1.96 4.2244.5264.8285.1295.4315.7336.0346.336
1.97 4.2674.5724.8775.1825.4875.7916.0966.401
1.98 4.3114.6194.9275.2345.5425.8506.1586.466
1.99 4.3544.6654.9765.2875.5985.9096.2216.532
2.00 4.3984.7125.0275.3415.6555.9696.2836.597
Longitud Longitud Diámetro
1.40 a 2.10 1.71 a 2.00

Diametro2.202.302.402.502.602.702.802.90
0.210.0760.0800.0830.0870.0900.0940.0970.100
0.220.0840.0870.0910.0950.0990.1030.1060.110
0.230.0910.0960.1000.1040.1080.1120.1160.120
0.240.1000.1040.1090.1130.1180.1220.1270.131
0.250.1080.1130.1180.1230.1280.1330.1370.142
0.260.1170.1220.1270.1330.1380.1430.1490.154
0.270.1260.1320.1370.1430.1490.1550.1600.166
0.280.1350.1420.1480.1540.1600.1660.1720.179
0.290.1450.1520.1590.1650.1720.1780.1850.192
0.300.1560.1630.1700.1770.1840.1910.1980.205
0.310.1660.1740.1810.1890.1960.2040.2110.219
0.320.1770.1850.1930.2010.2090.2170.2250.233
0.330.1880.1970.2050.2140.2220.2310.2390.248
0.340.2000.2090.2180.2270.2360.2450.2540.263
0.350.2120.2210.2310.2410.2500.2600.2690.279
0.360.2240.2340.2440.2540.2650.2750.2850.295
0.370.2370.2470.2580.2690.2800.2900.3010.312
0.380.2500.2610.2720.2840.2950.3060.3180.329
0.390.2630.2750.2870.2990.3110.3230.3340.346
0.400.2760.2890.3020.3140.3270.3390.3520.364
0.410.2900.3040.3170.3300.3430.3560.3700.383
0.420.3050.3190.3330.3460.3600.3740.3880.402
0.430.3190.3340.3490.3630.3780.3920.4070.421
0.440.3350.3500.3650.3800.3950.4110.4260.441
0.450.3500.3660.3820.3980.4140.4290.4450.461
0.460.3660.3820.3990.4150.4320.4490.4650.482
0.470.3820.3990.4160.4340.4510.4680.4860.503
0.480.3980.4160.4340.4520.4700.4890.5070.525
0.490.4150.4340.4530.4710.4900.5090.5280.547
0.500.4320.4520.4710.4910.5110.5300.5500.569
Longitud Longitud Diámetro
2.20 a 2.90 0.21 a 0.50

Diametro2.202.302.402.502.602.702.802.90
0.510.4490.4700.4900.5110.5310.5520.5720.592
0.520.4670.4880.5100.5310.5520.5730.5950.616
0.530.4850.5070.5290.5520.5740.5960.6180.640
0.540.5040.5270.5500.5730.5950.6180.6410.664
0.550.5230.5460.5700.5940.6180.6410.6650.689
0.560.5420.5660.5910.6160.6400.6650.6900.714
0.570.5610.5870.6120.6380.6630.6890.7140.740
0.580.5810.6080.6340.6610.6870.7130.7400.766
0.590.6010.6290.6560.6830.7110.7380.7660.793
0.600.6220.6500.6790.7070.7350.7630.7920.820
0.610.6430.6720.7010.7310.7600.7890.8180.848
0.620.6640.6940.7250.7550.7850.8150.8450.876
0.630.6860.7170.7480.7790.8100.8420.8730.904
0.640.7080.7400.7720.8040.8360.8690.9010.933
0.650.7300.7630.7960.8300.8630.8960.9290.962
0.660.7530.7870.8210.8550.8900.9240.9580.992
0.670.7760.8110.8460.8810.9170.9520.9871.022
0.680.7990.8350.8720.9080.9440.9811.0171.053
0.690.8230.8600.8970.9350.9721.0101.0471.084
0.700.8470.8850.9240.9621.0011.0391.0781.116
0.710.8710.9110.9500.9901.0291.0691.1091.148
0.720.8960.9360.9771.0181.0591.0991.1401.181
0.730.9210.9631.0041.0461.0881.1301.1721.214
0.740.9460.9891.0321.0751.1181.1611.2041.247
0.750.9721.0161.0601.1041.1491.1931.2371.281
0.760.9981.0431.0891.1341.1791.2251.2701.316
0.771.0241.0711.1181.1641.2111.2571.3041.350
0.781.0511.0991.1471.1951.2421.2901.3381.386
0.791.0781.1271.1761.2251.2741.3231.3721.421
0.801.1061.1561.2061.2571.3071.3571.4071.458
Longitud Longitud Diámetro
2.20 a 2.90 0.51 a 0.80

Diametro2.202.302.402.502.602.702.802.90
0.811.1341.1851.2371.2881.3401.3911.4431.494
0.821.1621.2151.2671.3201.3731.4261.4791.531
0.831.1901.2441.2991.3531.4071.4611.5151.569
0.841.2191.2751.3301.3851.4411.4961.5521.607
0.851.2481.3051.3621.4191.4751.5321.5891.646
0.861.2781.3361.3941.4521.5101.5681.6261.685
0.871.3081.3671.4271.4861.5461.6051.6651.724
0.881.3381.3991.4601.5211.5811.6421.7031.764
0.891.3691.4311.4931.5551.6171.6801.7421.804
0.901.4001.4631.5271.5901.6541.7181.7811.845
0.911.4311.4961.5611.6261.6911.7561.8211.886
0.921.4621.5291.5951.6621.7281.7951.8611.928
0.931.4941.5621.6301.6981.7661.8341.9021.970
0.941.5271.5961.6661.7351.8041.8741.9432.013
0.951.5591.6301.7011.7721.8431.9141.9852.056
0.961.5921.6651.7371.8101.8821.9542.0272.099
0.971.6261.7001.7741.8471.9211.9952.0692.143
0.981.6591.7351.8101.8861.9612.0372.1122.187
0.991.6931.7701.8471.9242.0012.0782.1552.232
1.001.7281.8061.8851.9632.0422.1212.1992.278
1.011.7631.8431.9232.0032.0832.1632.2432.323
1.021.7981.8791.9612.0432.1252.2062.2882.370
1.031.8331.9162.0002.0832.1662.2502.3332.416
1.041.8691.9542.0392.1242.2092.2942.3792.464
1.051.9051.9922.0782.1652.2512.3382.4252.511
1.061.9412.0302.1182.2062.2942.3832.4712.559
1.071.9782.0682.1582.2482.3382.4282.5182.608
1.082.0152.1072.1992.2902.3822.4732.5652.657
1.092.0532.1462.2402.3332.4262.5192.6132.706
1.102.0912.1862.2812.3762.4712.5662.6612.756
Longitud Longitud Diámetro
2.20 a 2.90 0.81 a 1.10

Diametro2.202.302.402.502.602.702.802.90
1.112.1292.2262.3222.4192.5162.6132.7102.806
1.122.1672.2662.3642.4632.5622.6602.7592.857
1.132.2062.3072.4072.5072.6072.7082.8082.908
1.142.2462.3482.4502.5522.6542.7562.8582.960
1.152.2852.3892.4932.5972.7012.8042.9083.012
1.162.3252.4312.5362.6422.7482.8532.9593.065
1.172.3652.4732.5802.6882.7952.9033.0103.118
1.182.4062.5152.6252.7342.8432.9533.0623.171
1.192.4472.5582.6692.7812.8923.0033.1143.225
1.202.4882.6012.7142.8272.9413.0543.1673.280
1.212.5302.6452.7602.8752.9903.1053.2203.335
1.222.5722.6892.8062.9223.0393.1563.2733.390
1.232.6142.7332.8522.9713.0893.2083.3273.446
1.242.6572.7782.8983.0193.1403.2613.3813.502
1.252.7002.8232.9453.0683.1913.3133.4363.559
1.262.7432.8682.9933.1173.2423.3673.4913.616
1.272.7872.9143.0403.1673.2943.4203.5473.674
1.282.8312.9603.0883.2173.3463.4743.6033.732
1.292.8753.0063.1373.2673.3983.5293.6603.790
1.302.9203.0533.1863.3183.4513.5843.7173.849
1.312.9653.1003.2353.3703.5043.6393.7743.909
1.323.0113.1483.2843.4213.5583.6953.8323.969
1.333.0563.1953.3343.4733.6123.7513.8904.029
1.343.1033.2443.3853.5263.6673.8083.9494.090
1.353.1493.2923.4353.5783.7223.8654.0084.151
1.363.1963.3413.4863.6323.7773.9224.0674.213
1.373.2433.3903.5383.6853.8333.9804.1284.275
1.383.2913.4403.5903.7393.8894.0384.1884.338
1.393.3383.4903.6423.7943.9454.0974.2494.401
1.403.3873.5413.6953.8484.0024.1564.3104.464
Longitud Longitud Diámetro
2.20 a 2.90 1.11 a 1.40

Diametro2.202.302.402.502.602.702.802.90
1.41 3.4353.5913.7473.9044.0604.2164.3724.528
1.42 3.4843.6423.8013.9594.1184.2764.4344.593
1.43 3.5333.6943.8554.0154.1764.3364.4974.658
1.44 3.5833.7463.9094.0724.2344.3974.5604.723
1.45 3.6333.7983.9634.1284.2934.4594.6244.789
1.46 3.6833.8514.0184.1854.3534.5204.6884.855
1.47 3.7343.9034.0734.2434.4134.5824.7524.922
1.48 3.7853.9574.1294.3014.4734.6454.8174.989
1.49 3.8364.0104.1854.3594.5344.7084.8825.057
1.50 3.8884.0644.2414.4184.5954.7714.9485.125
1.51 3.9404.1194.2984.4774.6564.8355.0145.193
1.52 3.9924.1744.3554.5364.7184.8995.0815.262
1.53 4.0454.2294.4134.5964.7804.9645.1485.332
1.54 4.0984.2844.4704.6574.8435.0295.2155.402
1.55 4.1514.3404.5294.7174.9065.0955.2835.472
1.56 4.2054.3964.5874.7784.9705.1615.3525.543
1.57 4.2594.4534.6464.8405.0335.2275.4215.614
1.58 4.3134.5104.7064.9025.0985.2945.4905.686
1.59 4.3684.5674.7654.9645.1625.3615.5605.758
1.60 4.4234.6244.8255.0275.2285.4295.6305.831
1.61 4.4794.6824.8865.0905.2935.4975.7005.904
1.62 4.5354.7414.9475.1535.3595.5655.7715.977
1.63 4.5914.7995.0085.2175.4255.6345.8436.052
1.64 4.6474.8595.0705.2815.4925.7045.9156.126
1.65 4.7044.9185.1325.3465.5595.7735.9876.201
1.66 4.7614.9785.1945.4115.6275.8436.0606.276
1.67 4.8195.0385.2575.4765.6955.9146.1336.352
1.68 4.8775.0985.3205.5425.7635.9856.2076.428
1.69 4.9355.1595.3845.6085.8326.0576.2816.505
1.70 4.9945.2215.4485.6755.9016.1286.3556.582
Longitud Longitud Diámetro
2.20 a 2.90 1.41 a 1.70

Diametro2.202.302.402.502.602.702.802.90
1.71 5.0525.2825.5125.7415.9716.2016.4306.660
1.72 5.1125.3445.5765.8096.0416.2746.5066.738
1.73 5.1715.4065.6415.8776.1126.3476.5826.817
1.74 5.2315.4695.7075.9456.1826.4206.6586.896
1.75 5.2925.5325.7736.0136.2546.4946.7356.975
1.76 5.3525.5965.8396.0826.3256.5696.8127.055
1.77 5.4135.6595.9056.1516.3986.6446.8907.136
1.78 5.4755.7235.9726.2216.4706.7196.9687.217
1.79 5.5365.7886.0406.2916.5436.7957.0467.298
1.80 5.5985.8536.1076.3626.6166.8717.1257.380
1.81 5.6615.9186.1756.4336.6906.9477.2057.462
1.82 5.7235.9846.2446.5046.7647.0247.2847.545
1.83 5.7866.0506.3136.5766.8397.1027.3657.628
1.84 5.8506.1166.3826.6486.9147.1797.4457.711
1.85 5.9146.1826.4516.7206.9897.2587.5267.795
1.86 5.9786.2496.5216.7937.0657.3367.6087.880
1.87 6.0426.3176.5926.8667.1417.4157.6907.965
1.88 6.1076.3856.6626.9407.2177.4957.7738.050
1.89 6.1726.4536.7337.0147.2947.5757.8558.136
1.90 6.2386.5216.8057.0887.3727.6557.9398.222
1.91 6.3036.5906.8777.1637.4507.7368.0238.309
1.92 6.3706.6596.9497.2387.5287.8178.1078.396
1.93 6.4366.7297.0217.3147.6067.8998.1928.484
1.94 6.5036.7997.0947.3907.6857.9818.2778.572
1.95 6.5706.8697.1687.4667.7658.0648.3628.661
1.96 6.6386.9407.2417.5437.8458.1468.4488.750
1.97 6.7067.0117.3157.6207.9258.2308.5358.839
1.98 6.7747.0827.3907.6988.0068.3148.6218.929
1.99 6.8437.1547.4657.7768.0878.3988.7099.020
2.00 6.9127.2267.5407.8548.1688.4828.7969.111
Longitud Longitud Diámetro
2.20 a 2.90 1.71 a 2.00

Diametro3.003.103.203.303.403.503.603.70
0.210.1040.1070.1110.1140.1180.1210.1250.128
0.220.1140.1180.1220.1250.1290.1330.1370.141
0.230.1250.1290.1330.1370.1410.1450.1500.154
0.240.1360.1400.1450.1490.1540.1580.1630.167
0.250.1470.1520.1570.1620.1670.1720.1770.182
0.260.1590.1650.1700.1750.1810.1860.1910.196
0.270.1720.1770.1830.1890.1950.2000.2060.212
0.280.1850.1910.1970.2030.2090.2160.2220.228
0.290.1980.2050.2110.2180.2250.2310.2380.244
0.300.2120.2190.2260.2330.2400.2470.2540.262
0.310.2260.2340.2420.2490.2570.2640.2720.279
0.320.2410.2490.2570.2650.2730.2810.2900.298
0.330.2570.2650.2740.2820.2910.2990.3080.316
0.340.2720.2810.2910.3000.3090.3180.3270.336
0.350.2890.2980.3080.3170.3270.3370.3460.356
0.360.3050.3160.3260.3360.3460.3560.3660.377
0.370.3230.3330.3440.3550.3660.3760.3870.398
0.380.3400.3520.3630.3740.3860.3970.4080.420
0.390.3580.3700.3820.3940.4060.4180.4300.442
0.400.3770.3900.4020.4150.4270.4400.4520.465
0.410.3960.4090.4220.4360.4490.4620.4750.488
0.420.4160.4290.4430.4570.4710.4850.4990.513
0.430.4360.4500.4650.4790.4940.5080.5230.537
0.440.4560.4710.4870.5020.5170.5320.5470.563
0.450.4770.4930.5090.5250.5410.5570.5730.588
0.460.4990.5150.5320.5480.5650.5820.5980.615
0.470.5200.5380.5550.5730.5900.6070.6250.642
0.480.5430.5610.5790.5970.6150.6330.6510.670
0.490.5660.5850.6030.6220.6410.6600.6790.698
0.500.5890.6090.6280.6480.6680.6870.7070.726
Longitud Longitud Diámetro
3.00 a 3.70 0.21 a 0.50

Diametro3.003.103.203.303.403.503.603.70
0.510.6130.6330.6540.6740.6950.7150.7350.756
0.520.6370.6580.6800.7010.7220.7430.7650.786
0.530.6620.6840.7060.7280.7500.7720.7940.816
0.540.6870.7100.7330.7560.7790.8020.8240.847
0.550.7130.7370.7600.7840.8080.8320.8550.879
0.560.7390.7640.7880.8130.8370.8620.8870.911
0.570.7660.7910.8170.8420.8680.8930.9190.944
0.580.7930.8190.8450.8720.8980.9250.9510.978
0.590.8200.8480.8750.9020.9300.9570.9841.012
0.600.8480.8770.9050.9330.9610.9901.0181.046
0.610.8770.9060.9350.9640.9941.0231.0521.081
0.620.9060.9360.9660.9961.0261.0571.0871.117
0.630.9350.9660.9981.0291.0601.0911.1221.153
0.640.9650.9971.0291.0621.0941.1261.1581.190
0.650.9951.0291.0621.0951.1281.1611.1951.228
0.661.0261.0611.0951.1291.1631.1971.2321.266
0.671.0581.0931.1281.1631.1991.2341.2691.304
0.681.0901.1261.1621.1981.2351.2711.3071.344
0.691.1221.1591.1971.2341.2711.3091.3461.384
0.701.1551.1931.2321.2701.3081.3471.3851.424
0.711.1881.2271.2671.3071.3461.3861.4251.465
0.721.2211.2621.3031.3441.3841.4251.4661.506
0.731.2561.2971.3391.3811.4231.4651.5071.549
0.741.2901.3331.3761.4191.4621.5051.5481.591
0.751.3251.3701.4141.4581.5021.5461.5901.635
0.761.3611.4061.4521.4971.5421.5881.6331.678
0.771.3971.4441.4901.5371.5831.6301.6761.723
0.781.4341.4811.5291.5771.6251.6721.7201.768
0.791.4711.5201.5691.6181.6671.7161.7651.814
0.801.5081.5581.6081.6591.7091.7591.8101.860
Longitud Longitud Diámetro
3.00 a 3.70 0.51 a 0.80

Diametro3.003.103.203.303.403.503.603.70
0.811.5461.5971.6491.7001.7521.8041.8551.907
0.821.5841.6371.6901.7431.7961.8481.9011.954
0.831.6231.6771.7311.7861.8401.8941.9482.002
0.841.6631.7181.7731.8291.8841.9401.9952.050
0.851.7021.7591.8161.8731.9291.9862.0432.100
0.861.7431.8011.8591.9171.9752.0332.0912.149
0.871.7831.8431.9021.9622.0212.0812.1402.200
0.881.8251.8851.9462.0072.0682.1292.1902.250
0.891.8661.9291.9912.0532.1152.1772.2402.302
0.901.9091.9722.0362.0992.1632.2272.2902.354
0.911.9512.0162.0812.1462.2112.2762.3412.406
0.921.9942.0612.1272.1942.2602.3272.3932.460
0.932.0382.1062.1742.2422.3102.3782.4452.513
0.942.0822.1512.2212.2902.3602.4292.4982.568
0.952.1262.1972.2682.3392.4102.4812.5522.623
0.962.1712.2442.3162.3892.4612.5332.6062.678
0.972.2172.2912.3652.4392.5132.5862.6602.734
0.982.2632.3382.4142.4892.5652.6402.7152.791
0.992.3092.3862.4632.5402.6172.6942.7712.848
1.002.3562.4352.5132.5922.6702.7492.8272.906
1.012.4042.4842.5642.6442.7242.8042.8842.964
1.022.4512.5332.6152.6972.7782.8602.9423.023
1.032.5002.5832.6662.7502.8332.9163.0003.083
1.042.5482.6332.7182.8032.8882.9733.0583.143
1.052.5982.6842.7712.8572.9443.0313.1173.204
1.062.6472.7362.8242.9123.0003.0893.1773.265
1.072.6982.7882.8772.9673.0573.1473.2373.327
1.082.7482.8402.9313.0233.1153.2063.2983.390
1.092.7992.8932.9863.0793.1733.2663.3593.453
1.102.8512.9463.0413.1363.2313.3263.4213.516
Longitud Longitud Diámetro
3.00 a 3.70 0.81 a 1.10

Diametro3.003.103.203.303.403.503.603.70
1.112.9033.0003.0973.1933.2903.3873.4843.580
1.122.9563.0543.1533.2513.3503.4483.5473.645
1.133.0093.1093.2093.3093.4103.5103.6103.711
1.143.0623.1643.2663.3683.4703.5723.6753.777
1.153.1163.2203.3243.4283.5323.6353.7393.843
1.163.1713.2763.3823.4883.5933.6993.8053.910
1.173.2253.3333.4403.5483.6553.7633.8703.978
1.183.2813.3903.4993.6093.7183.8283.9374.046
1.193.3373.4483.5593.6703.7813.8934.0044.115
1.203.3933.5063.6193.7323.8453.9584.0724.185
1.213.4503.5653.6803.7953.9104.0254.1404.255
1.223.5073.6243.7413.8583.9754.0914.2084.325
1.233.5653.6843.8023.9214.0404.1594.2784.396
1.243.6233.7443.8643.9854.1064.2274.3474.468
1.253.6823.8043.9274.0504.1724.2954.4184.541
1.263.7413.8653.9904.1154.2394.3644.4894.614
1.273.8003.9274.0544.1804.3074.4344.5604.687
1.283.8603.9894.1184.2464.3754.5044.6324.761
1.293.9214.0524.1824.3134.4444.5744.7054.836
1.303.9824.1154.2474.3804.5134.6464.7784.911
1.314.0434.1784.3134.4484.5834.7174.8524.987
1.324.1054.2424.3794.5164.6534.7904.9275.063
1.334.1684.3074.4464.5854.7244.8635.0015.140
1.344.2314.3724.5134.6544.7954.9365.0775.218
1.354.2944.4374.5804.7244.8675.0105.1535.296
1.364.3584.5034.6494.7944.9395.0845.2305.375
1.374.4224.5704.7174.8655.0125.1595.3075.454
1.384.4874.6374.7864.9365.0855.2355.3855.534
1.394.5524.7044.8565.0085.1595.3115.4635.615
1.404.6184.7724.9265.0805.2345.3885.5425.696
Longitud Longitud Diámetro
3.00 a 3.70 1.11 a 1.40

Diametro3.003.103.203.303.403.503.603.70
1.41 4.6844.8414.9975.1535.3095.4655.6215.777
1.42 4.7514.9095.0685.2265.3855.5435.7015.860
1.43 4.8184.9795.1395.3005.4615.6215.7825.942
1.44 4.8865.0495.2125.3745.5375.7005.8636.026
1.45 4.9545.1195.2845.4495.6145.7805.9456.110
1.46 5.0225.1905.3575.5255.6925.8606.0276.194
1.47 5.0925.2615.4315.6015.7705.9406.1106.280
1.48 5.1615.3335.5055.6775.8496.0216.1936.365
1.49 5.2315.4055.5805.7545.9286.1036.2776.452
1.50 5.3015.4785.6555.8326.0086.1856.3626.538
1.51 5.3725.5515.7315.9106.0896.2686.4476.626
1.52 5.4445.6255.8075.9886.1706.3516.5336.714
1.53 5.5165.6995.8836.0676.2516.4356.6196.803
1.54 5.5885.7745.9606.1476.3336.5196.7066.892
1.55 5.6615.8496.0386.2276.4166.6046.7936.982
1.56 5.7345.9256.1166.3076.4996.6906.8817.072
1.57 5.8086.0016.1956.3896.5826.7766.9697.163
1.58 5.8826.0786.2746.4706.6666.8627.0587.254
1.59 5.9576.1556.3546.5526.7516.9497.1487.347
1.60 6.0326.2336.4346.6356.8367.0377.2387.439
1.61 6.1086.3116.5156.7186.9227.1257.3297.533
1.62 6.1846.3906.5966.8027.0087.2147.4207.626
1.63 6.2606.4696.6786.8867.0957.3047.5127.721
1.64 6.3376.5486.7606.9717.1827.3937.6057.816
1.65 6.4156.6296.8427.0567.2707.4847.6987.912
1.66 6.4936.7096.9267.1427.3587.5757.7918.008
1.67 6.5716.7907.0097.2287.4477.6667.8858.104
1.68 6.6506.8727.0937.3157.5377.7587.9808.202
1.69 6.7306.9547.1787.4027.6277.8518.0758.300
1.70 6.8097.0367.2637.4907.7177.9448.1718.398
Longitud Longitud Diámetro
3.00 a 3.70 1.41 a 1.70

Diametro3.003.103.203.303.403.503.603.70
1.71 6.8907.1197.3497.5797.8088.0388.2688.497
1.72 6.9717.2037.4357.6687.9008.1328.3658.597
1.73 7.0527.2877.5227.7577.9928.2278.4628.697
1.74 7.1347.3717.6097.8478.0858.3238.5608.798
1.75 7.2167.4567.6977.9378.1788.4198.6598.900
1.76 7.2997.5427.7858.0288.2728.5158.7589.002
1.77 7.3827.6287.8748.1208.3668.6128.8589.104
1.78 7.4657.7147.9638.2128.4618.7108.9589.207
1.79 7.5507.8018.0538.3048.5568.8089.0599.311
1.80 7.6347.8898.1438.3978.6528.9069.1619.415
1.81 7.7197.9768.2348.4918.7489.0069.2639.520
1.82 7.8058.0658.3258.5858.8459.1059.3669.626
1.83 7.8918.1548.4178.6808.9439.2069.4699.732
1.84 7.9778.2438.5098.7759.0419.3079.5739.838
1.85 8.0648.3338.6028.8719.1399.4089.6779.946
1.86 8.1528.4238.6958.9679.2389.5109.78210.054
1.87 8.2398.5148.7899.0639.3389.6139.88710.162
1.88 8.3288.6058.8839.1619.4389.7169.99310.271
1.89 8.4178.6978.9789.2589.5399.81910.10010.380
1.90 8.5068.7899.0739.3569.6409.92410.20710.491
1.91 8.5968.8829.1699.4559.74210.02810.31510.601
1.92 8.6868.9759.2659.5549.84410.13410.42310.713
1.93 8.7779.0699.3629.6549.94710.23910.53210.824
1.94 8.8689.1639.4599.75510.05010.34610.64110.937
1.95 8.9599.2589.5579.85510.15410.45310.75111.050
1.96 9.0529.3539.6559.95710.25810.56010.86211.164
1.97 9.1449.4499.75410.05910.36310.66810.97311.278
1.98 9.2379.5459.85310.16110.46910.77711.08511.393
1.99 9.3319.6429.95310.26410.57510.88611.19711.508
2.00 9.4259.73910.05310.36710.68110.99611.31011.624
Longitud Longitud Diámetro
3.00 a 3.70 1.71 a 2.00

MADERA ASERRADA

Madera aserrada:

Madera escuadrada por caras y cantos por aserrío con equipos
mecánicos (sierra circular, de cinta u otras) o manuales (sierra
hiladora).
Producto obtenido del aserrío longitudinal de las trozas, las
piezas de madera presentan, diferentes formas (cuadrada,
rectangular), sus denominaciones en el mercado nacional se
caracterizan por el Espesor, Ancho y Largo de la pieza.



Tabla Listón Bloques
Medición de madera aserrada:
La medición corresponde a la toma de medidas de la pieza de madera,
midiendo en el orden de espesor, ancho y largo, lo que nos dará como
resultado el volumen (pies tablares o metros cúbicos aserrados).




Espesor:
Es la parte con menor dimensión de la pieza escuadrada.
A
E

Ancho :
Se considera a la parte con mayor dimensión de la pieza escuadrada.

Largo :
Parte con mayor dimensión de la pieza de madera.

Calculo de Volumen de Madera Aserrada:
Aquí debemos resaltar que en nuestro país, la comercialización de la
madera aserrada se da en pies tablares, por lo cual procederemos a la
cubicación de las piezas con la formula siguiente:

????????????(�??????)=
??????"x a"x �´
��

Va (pt) = Volumen de la pieza de madera aserrada en pies tablares.
e = Espesor en pulgadas.
a = Ancho en pulgadas.
l = Longitud en pies.
12 = valor constantes.

Representación de un pie tablar de madera aserrada



1”

1 pt = 1” Espesor X 1´Ancho X 1´Largo.
1 pie tablar

1pt
1 pie lineal =
1 pulgada =

Representación de un metro cubico de madera aserrada, en relación a
un pie tablar de madera.









1 m3 (a) = 424 pt.

Equivalencias importantes

0.3048 metros.
30.48 centímetros
12 pulgadas
0.3048 metros.
2.54 centímetros.
0.0254 metros
1 m3
1m
1m

Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
2 2 7 2
2 3 7 4
3 3 7 5
3 4 7 7
4 4 7 9
3 5 7 9
4 5 7 12
5 5 7 15
3 6 7 11
4 6 7 14
5 6 7 18 Espesor Ancho LargoCantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
2 2 8 3
2 3 8 4
3 3 8 6
3 4 8 8
4 4 8 11
3 5 8 10
4 5 8 13
5 5 8 17
3 6 8 12
4 6 8 16
5 6 8 20


















Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 7 a 8
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
2 a 5 2 a 6 8
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 7 a 8
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
2 a 5 2 a 6 7

Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
2 2 9 3
2 3 9 5
3 3 9 7
3 4 9 9
4 4 9 12
3 5 9 11
4 5 9 15
5 5 9 19
3 6 9 14
4 6 9 18
5 6 9 23 Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
2 2 10 3
2 3 10 5
3 3 10 8
3 4 10 10
4 4 10 13
3 5 10 13
4 5 10 17
5 5 10 21
3 6 10 15
4 6 10 20
5 6 10 25


















Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 7 a 8
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
2 a 5 2 a 6 10
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
2 a 5 2 a 6 9

Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
1 2 7 1
1 3 7 2
1 4 7 2
1 5 7 3
1 6 7 4
1 7 7 4
1 8 7 5
1 9 7 5
1 10 7 6
1 11 7 6
1 12 7 7 Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
1 2 8 1
1 3 8 2
1 4 8 3
1 5 8 3
1 6 8 4
1 7 8 5
1 8 8 5
1 9 8 6
1 10 8 7
1 11 8 7
1 12 8 8


















Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 7 a 8
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 8
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 7

Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
1 2 9 2
1 3 9 2
1 4 9 3
1 5 9 4
1 6 9 5
1 7 9 5
1 8 9 6
1 9 9 7
1 10 9 8
1 11 9 8
1 12 9 9 Espesor Ancho Largo Cantidad
(Pulg.)(Pulg.) (pt.) (Pt.)
1 2 10 2
1 3 10 3
1 4 10 3
1 5 10 4
1 6 10 5
1 7 10 6
1 8 10 7
1 9 10 8
1 10 10 8
1 11 10 9
1 12 10 10

















Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 9
Espesor (Pulg.) Ancho (Pulg.) Largo (Pies)
1 2 a 12 10

Otras anotaciones importantes:
Productos Maderables Aserrados

Según Resolución Jefatural N°230-2004-INRENA (Lista de Especies Forestales Maderables y de
la Lista de Productos Forestales Maderables)

--------------------------------------<> -----------------------------------
Nombre del
Producto
Descripción/Características/Observaciones


Madera comercial
Madera con medidas de:
1” de espesor a más.
6” de ancho a más.
6´ de largo a más.
Con una tolerancia máxima de 20% en ancho
de 4 -5”.

Madera
largo-angosta
Madera con medidas de:
1” de espesor a más.
5” de ancho.
6´ de largo a más.
Incluye madera de albura o paquetería.


Madera corta
Madera con medidas de:
1” de espesor a más.
1” de ancho a más.
5´ de largo.
Incluye madera de albura o paquetería.
Madera de
espesor < 1”
Tablas, tablillas y similares de dimensiones
variables en ancho y largo, pero con espesor
igual o inferior a 1” pero superior a 6 mm.
Paquetería Madera de recuperación empaquetada de
diferentes dimensiones.

Paquetería larga
Madera de recuperación empaquetada,
generalmente de 2-6” x 2-6” x 6´ o más de
largo.

Paquetería corta
Madera de recuperación empaquetada,
generalmente de 2-6” x 2-6” x 5´ o menos de
largo.

Información
:
fredtueros
@hotmail.com

In Información
:
fredtueros
@hotmail.com








Oxapampa – Perú
2013
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