Round timber point table 6 meters. Seminar “Efficient pellet production.” Determining the volume of a log using a computer measuring fork
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When is the preparation made? round timber, first of all, they try to accurately calculate its cubic capacity.
The measurement is made in the upper cut, where the diameter will be slightly smaller. When measuring trunks that have a cross-section other than round, they try to take measurements along the narrowest cross-section, passing through the center of the annual rings of the wood.
This technique is used because it allows you to most accurately estimate how much edged lumber, which has the greatest value in woodworking, will be produced from one log. Obviously, they will be cut based on the diameter of the top cut.
For the same reason, the ridged part of the trunk, where the difference between the larger and smaller cut diameters is large, is preferred to be discarded and not used in the preparation. In any case, the sawmill will accept timber from the top cut.
When determining the length, measurements are made with an accuracy of 10 cm, and the length is rounded down. Such precision is achieved due to the fact that when felling logs, two cuts are usually made - one higher, the other lower. First they do the bottom one, then the top one - on the other side. falls in the direction where the top of his head leans. The cuts are made so that the bottom one is on the side where the trunk should fall.
In this case, the upper cut is made from the other side, standing in the direction opposite to the most likely fall. When subsequently sawing the cane, they usually use a saw to make one cut, but often a cutting error is allowed - it can go slightly obliquely, which is why there is such a large error.
Calculation according to cubic meter
In accordance with it, you can determine the volume of each log by taking measurements and selecting the value from the table. In the table, the diameter of the trunk is in increments of 1-2 cm, and the length is in increments of 10 cm. Of course, using the entire cubature table is not entirely convenient.
This table provides data for the most common top cut diameters and lengths. Usually it is necessary to calculate the volume for logs up to 6 meters long. It is logs of this length that fit into most standard bodies of ordinary ones, not specialized ones like timber trucks or timber trailers for tractors; it is precisely in sizes up to 6 meters that logs are bucked.
Naturally, when timber is delivered to a sawmill, there is no talk of any “approximate” calculations, and it is necessary to apply the full GOST in the final calculation - after all, this is both sawmills and money for foresters who love accurate calculations.
Calculation by formula
V=πd²l/4, where d is the diameter of the trunk in the upper cut, l is the length of the log, π = 3.14 - for our calculations, greater accuracy of this constant is not needed.
This is convenient when you don’t have GOST at hand, but only have it. With large volumes of work, even from three or four machines, counting in this way will take a lot of time, in addition, this technique is not standardized and is not used as an argument in financial disputes.
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When industrially harvesting roundwood, it is quite difficult to determine its cubic capacity. To accurately calculate the volume of each log, you can use the formula for the volume of a truncated cone, which takes into account the main diameters of both cuts and the length of the log itself.
Round timber is very convenient and practical for building houses, bathhouses and other residential and non-residential premises.
In fact, like this in a complicated way The cubic size of round timber is not calculated. It is accepted all over the world to be considered more in a fast way. Special tables are used for this.
How to calculate the cubic capacity of a single tree without additional measurements?
Just a few years ago, to calculate the volume of a single tree, they used the product of the arithmetic average of the area of the cuts and the length of the tree. Using a meter (reminiscent of an ordinary caliper), the diameter of the tree in its middle part was determined. Then it was multiplied by 3 to obtain the cross-sectional area.
Next, the resulting number was multiplied by the length of the workpiece, and a volumetric result was obtained. This method of calculation is inaccurate, since the thickness of the bark is not taken into account. The number Pi was taken with a large deviation from the real one, and the formula in its distorted form gave large errors.
The formula itself looks like this: the diameter of a rounded log is divided by 2 and squared, then multiplied by Pi and the length of the log.
Even if you measure the thickness of the bark and take this into account to determine the diameter of the tree, deviations from real indicators will be inaccurate, although with a smaller error. More accurate calculations showed that actual deviations in cubic capacity calculations round log with primitive measurements they have a certain dependence on the parameters of the tree, which was taken into account when compiling the corresponding tables to determine the volumetric parameter. Let's try to figure out how to calculate the cubic capacity of the forest. For this you will need:
- roulette;
- corresponding calculation tables, where there is a finite cubic capacity.
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Peculiarities .
How much does a cube of board weigh?Technology for calculating the volume of a single log
First, you need to use a tape measure to measure the length of the tree and its diameter at the top of the cut (excluding the bark). After this, let’s look at the tabular parameters: at the intersection of the line indicating the length of the tree and the column indicating the corresponding diameter, we find the volume of the measured body. Everything is simple and reliable.
Such calculations also cannot be called absolutely accurate, since the features in which the forest was grown and the shape of the trunk are not taken into account. But with large volumes of workpieces, it is customary not to pay attention to such trifles.
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Calculation of cubic capacity of stored timber
For industrial volumes of round logs, other techniques and tabular data are used. In essence, a round forest in a stored state has the shape rectangular parallelepiped. Calculations of its volume are familiar to everyone from school. But this method cannot be used, since the size of the voids between the logs will not be taken into account. By the way, they also directly depend on the diameter of the logs, which can be calculated mathematically.
Through numerous calculations, the coefficient was determined, with the help of which a special table was compiled. It works similarly to the previously described table, with the only difference being that the volume of the mentioned parallelepiped and the average thickness of the upper cut are taken into account. The cubic capacity of the forest can be calculated with great accuracy.
But one cannot hope for good accuracy of calculations when stacking forest products inaccurately. This procedure is not used when storing timber in a warehouse, since in this case the volume that round timber occupies directly in the warehouse is estimated.
It is very easy to calculate the cubic capacity after preliminary weighing of the forest.
Next, you need to calculate the volume by dividing the mass of the forest by the density, which corresponds to the type of wood. This calculation also cannot be considered ideal, since the forest has a deviation in density at different degrees of maturity. Special role The moisture content of the wood can also play a role here.
16.06.2014 17:04
After all the ideas for implementing the construction of a house have been worked out and the final option for building a house from rounded logs has been selected, the question arises how much such a house will cost you. To determine cost of building a log house from rounded logs, you need to know how many cubes of logs are in this log house. In this article we will try to explain in detail how to calculate the cubic capacity for the construction of rounded logs.
Calculation of cubic capacity of rounded logs
The simplest way to calculate is using the formula - πr². H
Π — 3,14
r² — radius of a rounded log squared
N - length of rounded log
Substitute the data into the formula:
3.14 *(0.11 m)²* 6m= 0.228 m3
So, we got how many cubes are in one rounded log with a diameter of 220 mm. Next, you need to calculate the number of logs in your house and multiply the resulting amount by the cubic capacity of one log (0.228 m3). You can easily count the number of logs in a wall, but initially you need to determine for yourself how high the floor will be.
How to calculate forest cubic capacity
It is also necessary to add 7% to the resulting height by shrinkage , if the log has natural moisture.
For example, the height of the first floor is 2.9 meters. The height of one log is 220 mm minus the lunar groove will be 190.5 mm. Next, we divide the floor height of 2.9 m by the thickness of the log without a groove - 0.19 m, having previously converted all the numbers into meters.
2.9: 0.19 = 15.26 pieces. We got required amount logs with a diameter of 220 mm in order to build a floor 2.9 meters high. You must not forget to add 7% for shrinkage of the house. In total you will get 16 crowns. Now, to find out the full volume of the floor of a 6x6 house, 16 crowns high, you need to perform the following calculation:
16 (crowns) * 4 (walls) * 0.228 (volume of one log) = 14.6 m3 of logs. Now, to find out the cost of a rounded log for the entire log house, you need to multiply the number of cubes obtained by the price of the log for one cube. The cost of one meter of cubic rounded log can be found Here.
To perform calculations for other log diameters, we offer you a number of pre-calculated tables, using which you will certainly find answers to your questions.
Article prepared by the company ASK Egida, which performs construction of houses from logs and provides wide range of construction services in the suburban housing construction market.
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- How to calculate the cubic capacity of a single tree without additional measurements?
- Technology for calculating the volume of a single log
- Calculation of cubic capacity of stored timber
- How to calculate cubic capacity without using tables?
When industrially harvesting roundwood, it is quite difficult to determine its cubic capacity. To accurately calculate the volume of each log, you can use the formula for the volume of a truncated cone, which takes into account the main diameters of both cuts and the length of the log itself.
Round timber is very convenient and practical for building houses, bathhouses and other residential and non-residential premises.
In fact, the cubic size of round timber is not calculated in such a complex way. It is accepted all over the world to count it in a faster way. Special tables are used for this.
How to calculate the cubic capacity of a single tree without additional measurements?
Cubic meter of wood and folding cubic meter round forest.
Just a few years ago, to calculate the volume of a single tree, they used the product of the arithmetic average of the area of the cuts and the length of the tree. Using a meter (reminiscent of an ordinary caliper), the diameter of the tree in its middle part was determined. Then it was multiplied by 3 to obtain the cross-sectional area.
Next, the resulting number was multiplied by the length of the workpiece, and a volumetric result was obtained. This method of calculation is inaccurate, since the thickness of the bark is not taken into account. The number Pi was taken with a large deviation from the real one, and the formula in its distorted form gave large errors.
The formula itself looks like this: the diameter of a rounded log is divided by 2 and squared, then multiplied by Pi and the length of the log.
Even if you measure the thickness of the bark and take this into account to determine the diameter of the tree, deviations from real indicators will be inaccurate, although with a smaller error. More accurate calculations showed that the actual deviations in the calculations of the cubic capacity of a round log during primitive measurements have a certain dependence on the parameters of the tree, which was taken into account when compiling the corresponding tables to determine the volumetric parameter. Let's try to figure out how to calculate the cubic capacity of the forest. For this you will need:
- roulette;
- corresponding calculation tables, where there is a finite cubic capacity.
Technology for calculating the volume of a single log
First, you need to use a tape measure to measure the length of the tree and its diameter at the top of the cut (excluding the bark). After this, let’s look at the tabular parameters: at the intersection of the line indicating the length of the tree and the column indicating the corresponding diameter, we find the volume of the measured body. Everything is simple and reliable.
Such calculations also cannot be called absolutely accurate, since the features in which the forest was grown and the shape of the trunk are not taken into account. But with large volumes of workpieces, it is customary not to pay attention to such trifles.
Calculation of cubic capacity of stored timber
For industrial volumes of round logs, other techniques and tabular data are used. In essence, a round forest in a stored state has the shape of a rectangular parallelepiped. Calculations of its volume are familiar to everyone from school. But this method cannot be used, since the size of the voids between the logs will not be taken into account. By the way, they also directly depend on the diameter of the logs, which can be calculated mathematically.
Through numerous calculations, the coefficient was determined, with the help of which a special table was compiled. It works similarly to the previously described table, with the only difference being that the volume of the mentioned parallelepiped and the average thickness of the upper cut are taken into account. The cubic capacity of the forest can be calculated with great accuracy.
Types of lumber and their volume.
But one cannot hope for good accuracy of calculations when stacking forest products inaccurately. This procedure is not used when storing timber in a warehouse, since in this case the volume that round timber occupies directly in the warehouse is estimated.
It is very easy to calculate the cubic capacity after preliminary weighing of the forest.
Round timber cubator table GOST
How to calculate cubic capacity without using tables?
There may be a misconception that in the forest industry it is impossible to correctly and accurately calculate the cubic capacity of round timber. But this is incorrect, since only primary methods for calculating the volume of round timber were considered here. In reality (especially when the forestry industry is in the capable hands of specialists) the process is much more complex.
Later, coefficients and special formulas are applied. This work is difficult, but this is the only way to calculate the cubic capacity of round timber with fairly high accuracy.
For many builders, the topic of calculating the number of logs in a cube is familiar. But for an unprepared person this may seem not only very distant, but also incomprehensible. And very often disagreements arise between the builders themselves, as well as between the builders and the customer, about how many logs there should be in a cube.
To deal with this problem, we usually use mathematical method, which in a few minutes can give a clear answer about how many logs are needed for a certain number of cubic meters.
Typically in construction wooden buildings rounded logs are used. But this material may differ in size, that is, in length and diameter. The unit of measurement is usually centimeters. There are one million centimeters in one cubic meter. Thus, first you need to decide on the size of the logs.
In order to measure the size of the logs, you will need a regular centimeter tape measure. All logs, as a rule, should initially be the same size, and later, depending on the project, they are sawn into the necessary elements.
So, by measuring the size of a log using a tape measure, we obtain the length and diameter in centimeters. For example, let's try to calculate how many logs are needed for one cubic meter, if the logs are six meters long and their diameter is eighteen centimeters.
To calculate, you will need the following formula:
Volume = Pi * Radius * Radius * Length.
six meters in in this case equals six hundred centimeters. Pi is always 3.14. We get the radius by dividing the diameter by two. Thus, our formula acquires next view: Volume = 3.14 * (18:2) * (18:2) * 600 = 3.14 * 9 * 9 * 600 = 152604 centimeters. To convert to cubic meters, divide the resulting number by one million: 152604: 1000000 = 0.1526. This result tells us that one log of this size will occupy only a little over 0.15 cubic meters.
Now you need to figure out how many logs are in a meter. This is our main task. To do this, we divide one cubic meter by the result of our calculations - 0.1526. It turns out: Quantity = 1: 0.1526 = 6.55 logs. It turns out that for one cubic meter we need to take about seven logs of a given size.
If we consider logs of larger diameter, for example, twenty-four centimeters, then the calculation results will be different:
Volume = 3.14 * 12 * 12 * 600 = 271296 cubic centimeters = 0.2713 cubic meters.
This means that in one cubic meter there will be: 1: 0.2713 = 3.69 logs. In this case, there will be fewer logs in one cubic meter.
To calculate the number of logs per cubic meter, it is used simple formula, which allows you to calculate the result in a matter of minutes. For calculations, of course, it is better to arm yourself with a tape measure and a calculator.
When implementing construction work for the construction of a residential building, a specialist must perform big number various tasks, some of which are: compilation and calculation estimated cost before the final finishing of the premises of a residential building. It is mandatory to calculate the required amount of various building materials, which is quite difficult to do. Therefore, such knowledge - how many boards are in a cube - has a very important for a specialist who is engaged in the construction of a residential building and wants to complete the work as efficiently and quickly as possible.
Buying club: existing types of boards
To calculate exactly how many board pieces are in a cube, you will need to know not only what exactly a board cube means, but it is worth understanding important point that exist different kinds boards and what is possible to purchase on modern market for performing various construction works. It should be noted that the cube of almost all materials, regardless of the type of material, is calculated in the same way, that is, according to one specific method. The types of boards have no influence on the calculation of the cubic capacity of this building material.
Non-grooved types of lumber are: timber, various edged boards, as well as unedged boards (they are an exception when calculating cubic capacity, because this process occurs a little differently). Tongue-and-groove types (which have special grooves for making joints) include: modern lining, blockhouse, flooring material, as well as imitation of natural timber. When you choose a tongue-and-groove type of building material for purchase, then you will need to pay attention to the fact that when making calculations, only the working width of the board without a tenon is used. If we talk about a blockhouse (imitation log), then when calculating the cubic capacity, only the thickness at its highest point is taken.
How many boards are in 1 cube: performing the calculation
Any person, even from his school days, understands how cubic capacity is calculated. For this procedure, it is necessary to calculate quantities such as: length, width and height. A similar principle is used to calculate the cubic capacity of 1 board. When performing such calculations, it is recommended to convert all available values into meters. The cubic capacity of 1 board, which has a cross-section of 150x20 mm. and a length of 6 m, is calculated as follows: 0.15 multiplied by 0.02 and 6, so that the cubic capacity of this board will be 0.018 cubic meters.
Let's apply the volume formula V= L*h*b (where L is length, h is height, b is width).
L= 6.0; h= 0.02; b= 0.15.
Thus, V= 6.0*0.02*0.15 = 0.018 m3.
To determine how many boards are in one cube: divide 1 m3 by cubic capacity (the volume of one board).
1 m 3 / V = N pcs.
1 m 3 / 0.018 m 3 = 55.55 pcs.
Thus, the number of boards in one cube is 55.5 pieces.
Finding out the cost of a certain type of board when the values of its volume is known is quite easy: 0.018 multiplied by the price of 1 cubic meter. When 1 cube of a certain type of board costs, for example, 5,500 rubles, then the cost will be 99 rubles. At this moment of calculation, there is some trick of sellers and managers in construction stores, because the cubic capacity of the material is rounded to some integer values.
Such rounding can lead to such a moment that the price of 1 board (when 1 cube costs 5500) will be completely different values. In addition to all this, it should be noted that various boards for construction, which have a nominal length of 6 meters, the actual length is 6.1 - 6.2 m, which is not taken into account when selling this building material. This also applies to the purchase of a significant number of boards. This can be seen quite clearly if we use a 150x20 mm board as an example. The number of boards in a cube is a value of 55.5 pcs. But, in a cube they count 55 pieces, which when performing the calculation will have a value of 0.99 cubic meters. In fact, it follows from this that the overpayment for 1 cubic meter of this popular building material can amount to 1% of the real price. For example, 5500 instead of 4995 rubles.
To calculate the cubic capacity for a continuous type of board, slightly different methods are used. When we are talking about buying 1 board, then measuring its thickness, as well as the total length, is carried out in the same way as when choosing edged building material. In this case, the average width is taken for calculations - between great value and small.
For example, when the width of the board at one end is 25 cm, and at the other 20, then the average value will be approximately 22 centimeters. When it is necessary to calculate the volume of a significant number of similar boards for construction, then you will need to lay them out so that the wide one does not differ from the narrow one, more than 10 cm. The main length of this material in the laid out stack should be approximately the same. After this, using a regular tape measure, an accurate measurement is made of the height of the entire existing stack of boards, and the width is measured (approximately in the very middle). The result obtained will then need to be multiplied by special coefficient, ranging from 0.07 to 0.09, directly dependent on the existing air gap.
How many boards are in 1 cube: special tables
To calculate the exact number of boards of a certain width and length in 1 cubic meter, various tables are used. Below are several such specialized tables, which indicate the cubic capacity of the common and in demand types of this material today. Calculate the volume of various boards having various sizes, for example, material for constructing a fence on your site, you have the opportunity to independently use the existing formula, which is presented above.
Table of the amount of edged boards in 1 cubic meter
| Board size | Volume of 1st board (m 3) | Number of boards in 1m 3 (pcs.) | Number of square meters in 1m2 |
|---|---|---|---|
| Twenty | |||
| Board 20x100x6000 | 0.012 m 3 | 83 pcs. | 50 m2 |
| Board 20x120x6000 | 0.0144 m 3 | 69 pcs. | 50 m2 |
| Board 20x150x6000 | 0.018 m 3 | 55 pcs. | 50 m2 |
| Board 20x180x6000 | 0.0216 m 3 | 46 pcs. | 50 m2 |
| Board 20x200x6000 | 0.024 m 3 | 41 pcs. | 50 m2 |
| Board 20x250x6000 | 0.03 m 3 | 33 pcs. | 50 m2 |
| Twenty-five | |||
| Board 25x100x6000 | 0.015 m 3 | 67 pcs. | 40 m2 |
| Board 25x120x6000 | 0.018 m 3 | 55 pcs. | 40 m2 |
| Board 25x150x6000 | 0.0225 m 3 | 44 pcs. | 40 m2 |
| Board 25x180x6000 | 0.027 m 3 | 37 pcs. | 40 m2 |
| Board 25x200x6000 | 0.03 m 3 | 33 pcs. | 40 m2 |
| Board 25x250x6000 | 0.0375 m 3 | 26 pcs. | 40 m2 |
| Thirty | |||
| Board 30x100x6000 | 0.018 m 3 | 55 pcs. | 33 m2 |
| Board 30x120x6000 | 0.0216 m 3 | 46 pcs. | 33 m2 |
| Board 30x150x6000 | 0.027 m 3 | 37 pcs. | 33 m2 |
| Board 30x180x6000 | 0.0324 m 3 | 30 pcs. | 33 m2 |
| Board 30x200x6000 | 0.036 m 3 | 27 pcs. | 33 m2 |
| Board 30x250x6000 | 0.045 m 3 | 22 pcs. | 33 m2 |
| Thirty-two | |||
| Board 32x100x6000 | 0.0192 m 3 | 52 pcs. | 31 m2 |
| Board 32x120x6000 | 0.023 m 3 | 43 pcs. | 31 m2 |
| Board 32x150x6000 | 0.0288 m 3 | 34 pcs. | 31 m2 |
| Board 32x180x6000 | 0.0346 m 3 | 28 pcs. | 31 m2 |
| Board 32x200x6000 | 0.0384 m 3 | 26 pcs. | 31 m2 |
| Board 32x250x6000 | 0.048 m 3 | 20 pcs. | 31 m2 |
| Sorokovka | |||
| Board 40x100x6000 | 0.024 m 3 | 41 pcs. | 25 m2 |
| Board 40x120x6000 | 0.0288 m 3 | 34 pcs. | 25 m2 |
| Board 40x150x6000 | 0.036 m 3 | 27 pcs. | 25 m2 |
| Board 40x180x6000 | 0.0432 m 3 | 23 pcs. | 25 m2 |
| Board 40x200x6000 | 0.048 m 3 | 20 pcs. | 25 m2 |
| Board 40x250x6000 | 0.06 m 3 | 16 pcs. | 25 m2 |
| Fifty | |||
| Board 50x100x6000 | 0.03 m 3 | 33 pcs. | 20 m2 |
| Board 50x120x6000 | 0.036 m 3 | 27 pcs. | 20 m2 |
| Board 50x150x6000 | 0.045 m 3 | 22 pcs. | 20 m2 |
| Board 50x180x6000 | 0.054 m 3 | 18 pcs. | 20 m2 |
| Board 50x200x6000 | 0.06 m 3 | 16 pcs. | 20 m2 |
| Board 50x250x6000 | 0.075 m 3 | 13 pcs. | 20 m2 |
Table of the amount of timber in 1 cubic meter
| Beam size | Volume of 1st piece (m³) | Quantity of timber in 1m³ (pcs.) |
|---|---|---|
| 100×100×6000 | 0.06 m 3 | 16 pcs. |
| 100×150×6000 | 0.09 m 3 | 11 pcs. |
| 150×150×6000 | 0.135 m 3 | 7 pcs. |
| 100×180×6000 | 0.108 m 3 | 9 pcs. |
| 150×180×6000 | 0.162 m 3 | 6 pcs. |
| 180×180×6000 | 0.1944 m 3 | 5 pieces. |
| 100×200×6000 | 0.12 m 3 | 8 pcs. |
| 150×200×6000 | 0.18 m 3 | 5.5 pcs. |
| 180×200×6000 | 0.216 m 3 | 4.5 pcs. |
| 200×200×6000 | 0.24 m 3 | 4 things. |
| 250×200×6000 | 0.3 m 3 | 3 pcs. |
Table of the amount of unedged boards in 1 cubic meter