Ratio of weight and pipe length. Weight of steel pipe: calculation methods
If you have to supply cold water to your house, it is very important to timely calculate the weight of the pipes, which will become an additional load on the foundation.
1 Why do you need to calculate the weight of a pipe?
You have decided to start laying pipes, and you know exactly how many meters you will need. It would seem that everything, you can go shopping by attaching a roof rack to the roof of your car, or by hiring a truck with an open body.
And this is where the need to have an accurate calculation of the weight of a steel profile pipe comes up; an online calculator at the point of purchase without knowledge of the formulas is unlikely to help you.
After all, you need to know how many linear meters of pipe of a certain diameter can be loaded into your passenger car, which has a load capacity limit.
Everyone has their own reasons for determining the mass of one pipe or an entire batch. For example, it is necessary to resolve the issue of laying communications and the carrying capacity of the vehicle. But mainly this is required to verify the correctness of monetary calculations.
The specificity of pipe products is that their cost is more “tied” not to the length of the products, but to their weight, and the price mainly depends on the raw material component, that is, on the amount of metal per 1 running meter, so the weight of the pipe can be calculated in diameter and wall thickness - they are the most important indicators in this case.
How to find out the weight of a pipe
According to tables posted in specialized directories or on thematic sites. In many of them, the calculated weight of 1 linear meter is indicated in the right column. pipes for each sample, depending on its and its wall thickness.
Using an online calculator. If you have a PC and Internet access at hand, then it is enough to enter the initial data (wall thickness, outer diameter) into the appropriate “windows”, and the result is ready.
According to the formula. It is given in GOST No. 8732 of 1978 and is common for any pipes, therefore, the mass data obtained as a result of calculations will be approximate. However, they do not exceed the error limits and can be operated with.
M = 0.02466 x S x (Dн – S)
- M – weight 1 lm. pipes.
- S – wall thickness.
- Dн – diameter (outer).
There is another formula that is used less often, but it gives, firstly, in some cases a more accurate result, and secondly, it is applicable for any type of product - steel, copper, cast iron pipes.
On a note!
When calculating using formula No. 1, the correction factor is indicated based on the fact that the steel density is taken as average, equal to 7850 kg/m³. Therefore, when determining the mass of pipes made of other materials, the error can be significant.
The basis is the ratio known from school - M (weight 1 lm) = p (density) x V (volume).
What to take into account - since for further calculations it is enough to find out the mass of 1 linear meter. pipe, then the volume in this case is equal to its cross-sectional area. This can be seen from the formula – V = S x L (and length = 1).
It is not difficult to determine the cross-sectional area (again, remembering your native school). There are 2 methods:
- find the areas of the outer and inner circle (S = π/4 x D2), and then determine the difference in the obtained values;
- modify this formula by substituting into it the values of diameters (external and internal) - S = π/4 x (D2н – D2в).
Note
- It is customary to indicate the linear parameters of products: cross-section and thickness – in “mm”, length – in “m”. Using one formula or another to calculate the weight of a pipe, it is necessary to convert all the initial values into one dimension. If the density is in “kg/m3”, then the diameters and thicknesses must also be expressed in “m”.
- Real deviations of the pipe wall thickness from the value specified in GOST can be significant (up to ±8%), and this is not a violation. If you need to know the weight of a pipe with maximum accuracy, then it is better to measure this value yourself, and not be guided by data from the accompanying documentation. With a large length of samples (and their number), the difference in the indicated mass of the batch and the actual mass can be significant. Consequently, in real value too.
- To find out the mass of a pipe made of a particular material more accurately, you should determine its specific gravity (density). These data are reflected in GOST No. 1050 of 1988 (steel), 1412 of 1985 (gray cast iron) and a number of other standards. It is easy to find the required documents by typing the required query into the search bar.
The weight of rolled metal is an important characteristic that plays a big role in the acquisition, transportation and calculation of structures. The calculator allows you to quickly determine the theoretical mass of pipes.
1 Why is it necessary to determine the weight of profile pipes?
Profile are pipes that, unlike conventional water pipes, have a non-circular cross-section. The most common and in demand are profile pipe products with rectangular and square sections. It is usually used for the manufacture of various types of metal structures and their elements in the construction industry and various production areas.
First of all, data on the weight of a profile product is required for calculations that are made during the design and development of metal structures, as well as for filling out various technical and accounting documentation.
It is necessary to know the weight of rolled products when buying and selling them, since all payment calculations are made, as a rule, per kilograms (tons) and only with rare exceptions per linear meters or pieces.
Determining how much the transported consignment weighs is necessary to select the method of transportation and means of delivery of the products.
In addition, in the rolled metal and building materials market there are unscrupulous sellers (or suppliers and manufacturers) who are trying to fraudulently profit from the consumer. They may offer substandard, defective, profile pipe products that do not comply with the stipulated standards and GOST standards, which are externally indistinguishable from high-quality ones.
For example, there are often cases of attempts to sell Chinese-made products in which the declared (technologically regulated) wall dimensions (thickness) are present only at the edges, where, in fact, they check for compliance with the standard size. But in fact, a pipe 100x100x5 mm in the middle may have other parameters - 100x100x4 mm.
This way, metal is saved during the production process, and as a result of the sale, a “body kit” may occur - if the sale occurs by the piece or by linear meters. The buyer will receive low-quality metal products that are not worth the money spent and can lead to serious negative consequences.
Such a “shortage” is easy to identify if you know the weight that a pipe of a given size should have.
2 Methods for determining the weight of a profile pipe
All existing methods for determining the weight of rolled metal without weighing it allow one to obtain a theoretical value based on the existing dimensional characteristics (diameter, width, height, thickness, length). Only weighing will show the exact mass. There are the following methods for determining theoretical mass:
- using tables for a given type of metal;
- using the profile pipe calculator;
- by calculation using a mathematical formula.
In all cases, to determine the weight, the theoretical value of the density of the metal used is used (for steel 7850 kg/m 3), as well as the standard dimensions of the product provided for by the GOST technical specifications.
But there are many different steel alloys and their actual density always, even slightly, differs from the theoretical value. The actual dimensions and shape of a metal product may also not coincide with the tabulated ones within the tolerances regulated by GOST. Therefore, the mass determined by these methods is theoretical.
The tables indicate the weight of 1 linear meter of profile pipe products (in kilograms) for each standard size and the number of meters in 1 ton of product. To determine the total weight of a batch of rolled metal, it is necessary to multiply the weight of 1 m.p. for the total length of the entire volume of pipes (in meters).
The fastest way to find out the mass of profile products is using an online calculator. Manually using formulas is the slowest and least reliable, since in this method there are more opportunities to make any mistakes than in the first two (you can use the formula incorrectly or make a mistake when selecting and entering data).
3 Calculation of a profile pipe using an online calculator
Special calculators available on the Internet allow you to quickly calculate the mass of a profile pipe. All that is required for this is to enter the rolled metal parameters into the appropriate fields of the calculator:
- side lengths (height and width) of the profile;
- wall thickness;
- pipe length.
Then you need to indicate the grade of steel (alloy) from which the profile product is made and press the enter button. The result will be the theoretical weight of the pipe.
Moreover, the calculators do not calculate the mass of 1 meter of profile products, but immediately substitute standardized tabular values in accordance with the product number.
This is a fundamental difference from calculations using a formula, where this parameter is determined independently. Thanks to this, the calculation on the calculator is more accurate.
The calculator can be used to make calculations for pipes made of the following types of metals:
- cast iron;
- become;
- copper;
- bronze;
- aluminum;
- brass;
- titanium;
- magnesium;
- other alloys.
Also determine the length of the pipe by its weight (the number of meters per 1 kg or ton of product).
4 Calculation of the weight of a profile pipe using the formula
The calculation of a profile pipe using the formula is based on calculating the volume of metal of the walls of a piece of product 1 m long. When this value is multiplied by the density of the alloy used for the manufacture of rolled products, the theoretical weight of 1 m of pipe is obtained. By multiplying this weight by the total length of the product, its mass is determined. The formula for calculating 1 m of profile pipe products is as follows: 26.376 * 200 = 5275.2 kg
The theoretical weight of 1 m obtained by the formula differs from the table value taken from GOST - 24.18 kg. This discrepancy is due to the fact that the proposed calculation formula does not take into account the external and internal roundings at the corners of the profile of a real pipe. The calculations were carried out for a product of regular geometric shape (with right angles), but such products are not actually produced.
And the theoretical values for the GOST tables were calculated taking into account the actual geometry of the profile of pipe products, so they are more accurate. Since the formulas used in these calculations are much more complex than those given above and require much more time for calculations, we do not present them. In conditions where the Internet and reference books are not at hand, a simplified quick calculation will be enough to determine the approximate weight of the pipe.
It is better to find out the exact mass by weighing the product.
Source: https://heatylab.com/the-ratio-of-the-weight-and-length-of-the-pipe-weight-of-steel-pipe-calculation-methods/
Steel pipe weight calculator: calculate the weight of steel pipes
Previously, in order to determine the weight of a steel pipe, it was necessary to use the formula (D - T) * T * 0.025, where:
- D – outer diameter of the product;
- T – wall thickness of the selected sample;
- 0.025 – coefficient – a constant value adopted for all products with a circular cross-section.
Now the task has been significantly simplified and simple and convenient programs for counting have been created. In particular, on our website there is an online steel pipe weight calculator, thanks to which you can easily find out how much a linear meter weighs for each specific position. You can also clarify the number of meters per ton and other data necessary for a potential buyer.
Steel pipe weight table
If you need to determine the weight of 1 meter of steel pipe without calculations, the table will help you do this much faster than if you try to quickly calculate using the formula yourself. It lists all standard sizes produced by the domestic industry.
However, you should always keep in mind that the mass you get is theoretical and not exact. Table formulas and online programs work on certain constants, such as the parameters of St20 steel according to GOST. If the grade of steel used in the manufacture of the product differs in parameters, then the weight of the steel pipe can only be calculated approximately.
Profile steel pipe weight table
For square products, the formula is (W - T) * T * 0.0316, where “W” is the side size in millimeters. If you need the specific gravity of a steel pipe, the table will allow you to complete this task quickly and efficiently. Of course, maximum accuracy will be achieved if the dimensions were strictly observed during manufacturing. They are regulated by the requirements of GOST 8639-82, as well as technical requirements according to GOST 13663-86.
How is the mass of a steel pipe with a rectangular cross-section determined? If you have neither tables nor a calculator at hand, a simple and convenient formula will help you (A1 + A2 – 2t) * t * 0.0158. A1, A2 – sides of the pipe in mm., T – thickness, the numbers by which all this is multiplied – the coefficient adopted for profile products of this type.
However, the table of weights for steel pipes is much more convenient, because allows you to get average values quickly. At the same time, experts claim that the error in any such calculation can reach 12% of the actual mass, both up and down.
Source: http://RDMetall.ru/kalkulyator-vesa-truby/
How to calculate the mass of a pipe formula
Any metal rolling technology has one of the main characteristics such as specific gravity. For a steel pipe one meter long, the mass can be calculated regardless of the type of cross section using the appropriate calculation formulas or tables.
What is the specific gravity of the pipe?
An indicator such as the specific gravity of a steel pipe has a numerical value of the weight of one linear meter of this product. This indicator is very convenient because, regardless of the volume of steel products, it makes it possible to quickly calculate its total mass. To do this, you simply need to measure or know in meters the length of the total number of the proposed or existing batch of pipes. Data on the sizes of steel pipes will also be needed:
- side lengths - for profile pipes (rectangular, square);
- outer diameter for round pipe products;
- steel grade (for more accurate calculations);
- product wall thickness.
This information can be found in the accompanying documents for rolled metal or measured with your own hands. Each pipe size has its own specific specific gravity. This value can be determined in one of the possible ways and after multiplying by the total length of the rolled pipe, the required total weight of the pipe (one or the total amount of this metal product) is obtained.
Why do you need to know specific gravity?
The total weight of steel pipes is important and necessary quantitative information in any area where this product is used.
At a plant that produces pipes, it is necessary to know how much raw material is needed to fulfill an order to produce a batch of a certain product. In this case, it is impossible to do without information about the total weight of the delivery of the finished pipeline to the consumer.
Financial reporting, accounting, road transport, warehouse and other documents reflect the movement and accounting of metal products in kilograms and tons.
You need to know the weight of the rolled pipe in order to choose the option of transporting it to your destination and select the necessary type of transport. This indicator is used during purchase and sale, as well as during financial settlements for pipe products.
The weight of steel pipes is an integral indicator of calculations of strength, reliability, and weight of manufactured metal structures and is included in the relevant technical documentation.
And in any case it can be quickly determined by knowing the general dimensional data and the length of the rolled product used, using the corresponding specific gravity of one linear meter of pipe.
Methods for calculating specific gravity
The weight of any pipe will depend on the specific density of the composition from which the pipe is made and its geometric parameters:
- length;
- height, width or diameter;
- wall thickness.
Therefore, it is indicated as a mass of volume (in sq. m.) of a profile or cylindrical shape, filled with homogeneous steel with the required density (in kg/m. cu.). The length of the pipe when determining its specific gravity is one meter. For rolled steel pipes, in any calculations, the density of the composition from which it is made is always taken as 7850 kg/m. cube To determine the weight of one meter of steel pipe (specific gravity), choose one of the following methods:
- according to calculation formulas;
- using tables where the required data is indicated for standard sizes of rolled pipes.
In any case, the data obtained are only theoretical calculations. This is due to the following reasons:
- when making calculations, it is often necessary to round the calculated values;
- in the calculations, the shape of the pipe is assumed to be geometrically correct, that is, metal deposits at the welding joint, roundings in the corners (for rolled profiles), reduction or excess of dimensions relative to standard ones within the permissible limits of GOST are not taken into account;
- The density of different steel grades differs from 7850 kg/m. cube and for many alloys the difference is quite significant when determining the weight of a large number of pipe products.
With the help of special tables, the maximum approximate theoretical indicator of the specific gravity of pipe products is determined , since in their compilation complex mathematical formulas were used that took into account the production technology and geometry of the products as much as possible. To use this calculation option, first, using the available data on the pipe, its type is determined. Then they find in the reference literature a table corresponding to this rolled metal product or GOST for this assortment.
So, for example, for square steel profiled pipes you need to use GOST 8639-82, and for round straight-seam pipes - GOST 10704-91. The next step in determining the specific gravity: using the available indicators on the size of the pipe, find the required value in the table. In the case when the measured product dimensions or wall thickness do not correspond to some table value, then the specific gravity indicator is selected for the standard dimensions that are closest in value.
The good thing about the tabular version of the calculation is that it does not require any calculations , which eliminates the possibility of making a mathematical error when making calculations. But this method requires the availability of special literature. The most universal option is to use mathematical formulas. This method can be used in any conditions, even, so to speak, “in the field,” far from the opportunities and benefits of civilization.
Determining the specific gravity of a pipe using formulas
As mentioned above, the calculation is based on determining the volume of raw materials consumed to produce one meter of rolled pipe. Then this value must be multiplied by the density of the composition (in the case of steel by 7850 kg/m3). The required volume is determined in this way:
- Calculate the volume of a part of a pipe one meter long based on its external dimensions. Why determine the cross-sectional area of the pipe, which is multiplied by the length, in our case by 1 meter.
- Calculate the volume of the hollow part of a pipe 1 meter long. Why do we first determine the dimensions of the cavity (for a round product, the internal diameter is calculated by subtracting double the wall thickness from the external diameter, and for profile pipes, the height and width of the internal diameter are determined by subtracting double the thickness from the external dimensions). Afterwards, based on the results obtained, a calculation similar to that indicated in the first paragraph is made.
- At the end, the second result is subtracted from the first result, this is the volume of the pipe.
All calculations are made only after converting the initial indicators into kilograms and meters. The volume of round and cylindrical pipe sections is determined using the following formula:
V = RxRx3.14xL, where:
- V – volume;
- R – radius;
- L – length.
Another simple formula, but for round steel pipes:
Weight =3.14x(D – T)xTxLxP, where:
- D – outer diameter;
- T – wall thickness;
- L – length;
- P – steel density.
There are two more formulas, but for steel profile pipes. The original data must be converted into millimeters , the answer will be in kilograms. Formula – for a square pipe:
Specific gravity = (A–T)xTx0.0316
For rectangular pipes:
Specific gravity = (A+B–2xT)xTx0.0158
That is, to determine the exact weight of the material, you can use special tables , which indicate the weight of the pipes, taking into account the cross-section, diameter and other indicators. If you don’t have this table at hand, you can always use a special calculator, where to calculate the required values you only need to enter the necessary data, such as wall thickness and type of section of the structure. Everyone chooses how to determine specific gravity.
- Vitaly Danilovich Orlov
Source: http://ooo-asteko.ru/kak-rasschitat-massu-truby-formula/
Pipe calculator to calculate pipe weight online
Before purchasing pipe materials, you need to calculate their weight. This is due to several reasons. Firstly, according to this indicator, the sale of rolled pipe assortment is carried out.
Secondly, the information obtained makes it possible to calculate the mass of the structure being created. We suggest calculating the weight of the pipe using our pipe calculator. You can calculate the weight of a pipe of round, rectangular and square cross-section.
Pipe weight calculation online
The online pipe calculator allows you to perform calculations for a linear meter of products. Based on these data, you can obtain the approximate weight of a batch of pipes, and this is very important when searching for a mode of transport for their transportation. You don’t have to use a calculator, but calculate everything manually using special formulas.
But, it is easier and faster to use the first option for these actions. The operating principle of the online pipe calculator is based on mathematical calculation, and all that is required from the operator is to enter some initial data. As a result, the calculator makes the necessary calculations with high accuracy.
Online mass calculation
The products of steel pipe-rolling materials in construction stores occupy a significant place on the shelves, which means that in comparison with competitors, they have more advantages. But its severity is considered a disadvantage. And the significance of this parameter can be fully felt at all stages, from transportation to pipeline laying.
There are special formulas that help you find all the necessary quantities. But it is not necessary to perform these complex calculations, because there is an online calculator on the Internet that makes it possible to easily find the mass of any type of rolled steel pipe.
The pipe calculator for calculating the weight of a pipe online works according to the formula m = ro / 7850 * 0.0157 * S * (P – 2.86 * S) * L. The density of the material in these calculations is taken to be the characteristics of carbon steel - this is 7850 kg/m3.
Next, enter the profile dimensions:
- the width of the section and its height (for a round pipe, indicate the volume);
- wall thickness and length (by default the length is taken as one meter).
Theoretical indicators for profile types are found in the same way as for square ones. The variety of pipe material assortment is displayed on the main page of the calculator.
Calculation of the mass of round products
The data for a round pipe can be determined by using a simple formula:
P = π*(D - Sst)*Sst*T. In it, D is the external volume; Sst – shows the wall thickness; T is density.
By substituting the required values into the formula, you can determine how much one linear meter of pipe assortment with a circular cross-section weighs. And how much the entire steel product weighs can be calculated if the resulting value is multiplied by the number of meters.
No matter how simple the manual formulas are, a pipe calculator for calculating the weight of a round pipe is much more convenient to use. It is very important to consider that the final result directly depends on the grade of steel and the method of its production.
For example, the weight of a seamless workpiece will differ from an electric-welded workpiece of similar dimensions.
And this is understandable, because for the manufacture of different types of steel pipes, steel with a certain composition is taken. In each specific case, the density of the material is individual, and this significantly changes the weight of the final product.
Online calculation system
The universal online pipe calculator makes it possible to quickly calculate the necessary parameters for a pipe range of specific brands. Using these metal calculators, it is easy to determine data not only for steel, but also for brass, aluminum, copper, titanium, etc. The list of assortment that such a metal calculator includes for calculations is not only pipes, but sheet blanks, beams, angles and much more.
The universal informer is very similar to the big one. But, its compact dimensions allow it to be installed on the left or right side of the resource panel. You can also make the metal calculator a separate page. When you need to perform calculations for a pipe range using an online calculator - informer, you need to enter the thickness and length of the product, and to set the length indicators, enter the mass and thickness of the product.
Metal calculators - informers operate online. And there is no fee for using them. To find the parameters of a specific type of pipe rolling materials you need:
- Enter the name of the desired metal and its grade at the top.
- Click on the button with the image of rolled steel, the data for which you need to determine.
- In the margins, indicate the corresponding dimensions in mm.
It is worth noting that calculations based on the density of the material are a significant element in the calculations, and to a large extent they depend on the temperature of the material. For example, the density of steel changes significantly at different temperatures. Most often, calculators for the main part of metal types use the specific gravity and density level of metals at a temperature of 20 degrees.
IMPORTANT! In reality, pipe products are produced with minor deviations from the desired geometric shape. When purchasing large quantities of steel goods, this leads to significant deviations in weight indicators.
This must be taken into account after the calculations have been carried out. The work in this case is carried out on the basis of exact geometric dimensions, so the actual figure of the result will differ.
The new version of the informer calculator (v.2) deserves special attention. Its advantages:
- Four varieties (classic, special, special panel, designer exclusive).
- It is now possible to select and customize a custom design (width, background shade, background shade and button size, and other parameters).
- The calculator's status is monitored by an automatic diagnostic system.
- When compared with analogues, in this case the accuracy of calculations is the highest.
- Calculations are carried out without the need to reload the page.
- You can calculate data for all main types of pipe products.
- You can calculate the mass based on the length and dimensions of the rolled pipe assortment, or you can find their length based on a given weight.
- By default, the calculator is self-configuring. For example, if the website has more than one section describing individual types of rolled pipe assortment, then on each of them you can install a metal calculator - an informer with the desired type of rolled product by default.
Comparing a pipe calculator for calculating the weight of a pipe and other programs that perform this calculation, it can be noted that the first option has much more advantages. The online calculator is constantly updated with new grades of steel and non-ferrous metals. New functions are also regularly added, which increases the accuracy and convenience of the calculations performed.
Source: https://trubanet.ru/onlajjn-kalkulyatory/trubnyjj-kalkulyator-dlya-rascheta-vesa-truby-onlajjn.html
Calculate the mass of pipes - Construction site
Water supply, heating, sewer, chimney, casing, copper, steel, plastic, metal-plastic, narrow, wide - pipes for various purposes from various materials surround us everywhere.
The need to lay new communications or replace old ones arises both during the construction of a house and during ongoing repairs.
When drawing up a project for the upcoming work, it would not hurt to arm yourself with a calculator to calculate the weight of the pipe, its mass, volume and other parameters.
Why do you need to calculate pipe parameters?
Preliminary calculation of pipe parameters is necessary in many cases. For example, for proper communication of the pipeline with other elements of the system. When working with pipes, designers and installers use indicators such as:
- pipeline permeability;
- heat loss;
- amount of insulation;
- amount of material for corrosion protection;
- roughness of the inner surface of the pipe, etc.
As a result, it is possible to determine the exact number of pipes required for a particular system, as well as their optimal characteristics. Correct calculations eliminate unnecessary costs for purchasing and transporting material and allow the substances in the pipeline to move at a given speed for the most efficient use of the system.
This table provides some useful information about the characteristics of different types of pipes that will help you select the appropriate designs needed to create a pipeline
In heating systems, the diameter of the pipes significantly depends on the permissible speed. An example of this kind of calculation is presented in the video:
Calculations of various pipe parameters
In order to correctly calculate the main parameters of pipes, the following indicators should be determined:
- the material from which the pipe is made;
- type of pipe section;
- internal and external diameter;
- Wall thickness;
- pipe length, etc.
Some of the data can be obtained simply by measuring the structure. A lot of useful information is contained in certification documents, as well as in various reference books and GOSTs.
How to find out the diameter and volume of a pipe?
Some calculation formulas are familiar to every schoolchild. For example, if you need to determine the diameter of a specific pipe, you should measure its circumference. To do this, you can use a measuring tape that seamstresses use. Alternatively, wrap the pipe with another suitable tape and then measure the resulting length using a ruler.
Next, we use the formula for circumference:
L=πD, where:
- L is the circumference of a circle;
- π is a constant number “pi”, equal to approximately 3.14;
- D is the diameter of the circle's circumference.
It is enough to carry out a simple transformation to calculate the outer diameter of the pipe using this formula:
D=L/π.
By measuring the thickness of the pipe walls, it is also easy to calculate the internal diameter of the circle. To do this, subtract twice the pipe wall thickness from the outer diameter of the pipe.
Calculation of pipe cross-section
To calculate the cross-section of the pipe, you need to calculate the area of the circle. This takes into account the difference between the outer diameter of the pipe and the thickness of its walls, in other words, the inner diameter of the pipe.
This figure clearly shows indicators such as the outer diameter of the pipe and the thickness of its wall. The difference between the outer diameter and thickness allows you to calculate the inner diameter of the pipe
The formula for the area of a circle looks like this:
Source: https://1olestnice.ru/santexnika/rasschitat-massy-tryb/
Pipeline parts weight
The online calculator allows you to quickly calculate the weight of a pipeline of any shape and size. The structure can be made of cast iron, steel, zinc, titanium or any other metal, as well as any alloy. It is enough to determine the material from which the pipe is made and enter the main characteristics in the selected fields, after which you can find out the exact weight of the structure. With the help of an online calculator, there is no need for lengthy calculations, and the design will go much faster.
Transition weight
Every pipeline installation project is designed to withstand some degree of wear and tear. It is not enough to simply lay pipes of any shape and size in order to ensure high-quality operation of the system.
Each type of work requires careful selection of the type of metal from which the pipe will be created, as well as the size and weight of the structure itself.
In order not to miscalculate in your calculations and determine the exact weight of the future pipeline, it is possible to use a special calculator.
In order to correctly calculate the weight of the part, you will need to enter the following data:
- the appearance of the pipe, which can be either round or have any other shape;
- the material from which the pipe is made. Most often, pipes are made of steel, cast iron or aluminum, but it can also be another metal or alloy;
- part length in meters;
- pipe diameter, which is especially important for round products;
- wall thickness in millimeters.
By determining the exact weight of the pipeline parts, you will be able to find out not only the weight of the entire structure, but also of any individual section, so that you can correctly calculate the required support. Independent calculations often lead to the fact that the support cannot withstand the load placed on it, which is why the entire pipeline becomes unusable. With an online calculator, such problems will never happen, because we will help you determine the exact weight of the parts in just a few seconds.
Source: http://uraltm08.ru/stati/ves-detalej-truboprovoda.html
How to calculate the weight of a profile pipe
Profile pipe is a popular type of rolled metal used for the construction of metal structures, in furniture production, for laying electrical cables, and for the manufacture of production equipment and machinery. When designing any structure or mechanism, it is necessary to know all the parameters of the elements used, including their mass.
What characteristics of profile pipes affect the weight?
The most popular varieties of these metal products are products with rectangular and square profiles.
Dimensions
These are the determining factors, and they include: the width and height of the cross section, wall thickness. The corners of profile products can be clear straight or rounded. Roundness has a slight effect on the weight of a linear meter, especially in the case of small-sized products. The range of square and rectangular steel pipes intended for the creation of metal structures is determined by GOST R 54157-2010.
Density of steel
The average steel density for calculations is taken to be 7850 kg/m3. But, depending on the carbon content, this value changes: the higher the percentage of carbon in the alloy, the smaller the mass of the metal.
Table of densities of different steel grades
Name | Stamps | Density, kg/m3 |
Corrosion resistant steels | 12Х18Н10Т, 08Х18Н10Т | 7900 |
Structural carbon steels of ordinary quality | St3 ps/sp | 7870 |
Structural carbon quality steels | 10, 20, 30, 40 | 7850 |
Tool steels | X12MF | 7700 |
Low alloy steels | 09G2S, 30HGSA | 7850 |
Spring steel | 65G | 7850 |
Tool die steels | 5ХНМ | 7800 |
Calculation of the weight of a profile steel pipe using formulas
To determine the mass of a linear meter, we use the formula M=V*p , where:
M – mass of 1 m, kg;
V – volume of material, m3;
p – steel density, kg/m3.
V = (A+B)*s, where:
A – section width, m;
B – section height, m;
Source: https://www.navigator-beton.ru/articles/kak-rasschitat-ves-profilnoj-truby.html
The value of the specific gravity of steel pipes and calculation methods
Today it is impossible to imagine our planet without steel. These include main pipelines, heating, water, gas, everything that a modern person needs for a comfortable life. Steel products are widely used in the automotive industry, aircraft manufacturing, and agriculture.
Steel pipes
The theoretical weight of rolled metal plays a big role, because without these indicators, enterprises will not be able to calculate the cost of production and its carrying capacity.
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Classification of steel alloys according to product range
According to regulatory documents according to GOST, steel products are classified into two types:
- Seamless;
- Electric welded (straight seam).
Seamless products are produced from steel sheet by rolling on a special machine and then given the required shape. Straight seam ones are made by folding and welding two pieces of steel sheet.
The widespread use of electric-welded pipes indicates quality and reliability. A variety of furniture with a metal frame and various products for children are made from this material.
Based on their cross-sectional shape, the following types of pipes are distinguished:
- Square;
- Round;
- Rectangular;
- Oval.
Types of steel pipes
Steel profile products come in rectangular and square sections, different sizes, as well as weight per linear meter. This material is made by deforming a sheet of metal with further welding of the longitudinal joint. This gives the shape of a square or rectangular pipe.
Galvanized profiles are also produced using this technology. Having anti-corrosion properties, this method significantly increases the service life of rolled products. Square galvanized pipes are used to make playgrounds, bus stops, billboards and much more. Rectangular pipes are used as parts for automobiles, agricultural machinery, etc.
According to GOST, the following parameters of profile products are determined:
- Technical;
- Geometric.
Geometric characteristics are size, length and wall thickness. When determining the mass of a product, wall thickness is very important. To calculate the weight of 1 linear meter of steel pipe, the rolled metal table indicates the theoretical weight of a linear meter.
According to GOST standards, a round steel pipe is a water and gas pipeline (WGP).
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Features of water and gas pipeline structures (WGP)
Steel water and gas pipeline structures (WGP) are the type of material that no construction or utility company can do without.
The advantage of VGP products is their high strength and low cost. Water and gas pipeline structures (WGP) are made from carbon steel. When manufacturing VGP, all quality standards are observed in accordance with GOST.
Steel water and gas pipes
VGP is used to supply water and gas. According to regulatory documents they are divided into:
- Galvanized;
- Non-galvanized.
Having a galvanized surface, VGP structures rust much less frequently than non-galvanized ones, which significantly extends their service life. Galvanized products are very easy to install, as they are easy to cut and weld. Galvanized VGP pipes do not differ at all in parameters from conventional ones; the size of the product determines its diameter.
A very important characteristic of a steel pipe is its thickness. It determines the strength and load that the pipeline can withstand. Consequently, the weight of a steel product will depend on its thickness. When installing VGP structures can be connected by welding or using threads.
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Determination of the specific gravity of steel products
Steel is an alloy of iron, cast iron and carbon. carbon in the alloy is at least 2%. Depending on its use, steel can be strong or hard.
Strong steels are used to build bridges and ship construction. Tools for various purposes are made from solid steel, because it can be given the desired shape by casting, rolling or pressing.
VGP pipes
To determine which steel alloy needs to be taken for the manufacture of products, its specific gravity is calculated.
Specific gravity is the ratio of the mass (P) of a homogeneous body to the volume of the metal (V). The formula used to calculate specific gravity is:
The formula for calculating metal is calculated by dividing the mass of the material in dry form by its volume in a dense state. From this it follows that the specific gravity of a metal consists of the weight of a unit volume of an unconditionally dense material.
The specific gravity of a metal and its density have the same relationship as the weight and mass of a body. Calculation of the mass of steel products is necessary when transporting them, as well as to calculate the carrying capacity of vehicles.
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Theoretical indicators of rolled metal
When preparing financial estimates, the weight of a linear meter of pipe is indicated as a weight measurement. Theoretical mass is used in the manufacture of metal structures to calculate the weight of products by size.
To do this, use theoretical mass indicators from the reference book, which provides a table with which you can calculate how much various structures and metal products weigh.
The table presents data on theoretical indicators of metal: sheets, pipes, beams, reinforcement, etc.
The table is good for its simplicity, but you need to know the parameters and steel range. And if the source data is unknown, then the table is not suitable, and you need to look for other methods of calculation.
Rolled metal
You can calculate the mass of a metal based on its length or area. This calculation can be made by studying the range of products.
Our country has a very large assortment of metal, so manufacturers need a table of indicators in order to find out how much a product weighs.
An alternative calculation is to calculate the indicators on a calculator. In a special program you need to enter the diameter and wall thickness of the pipe. Further calculations are not very different from those where a table is used.
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Flaring of steel VGP pipes
Interesting on the topic:
Source: http://VseOTrubax.com/materialy/stalnye/znachenie-udelnogo-vesa-stalnyx-trub-i-sposoby-vychisleniya.html
Steel pipe weight calculator and calculation theory
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Pipes, both round and profile, are sold at retail by the meter. However, when calculating future building structures, as well as when hiring a carrier, it is necessary to know the exact weight of the product. The steel pipe calculator calculates the weight of a pipe based on theoretical principles and allows you to calculate the mass of all existing types of pipes made from different grades of steel.
Round steel pipes
Purpose of the calculator
In order to find out the exact mass of a product, you need to calculate its volume, find out the grade of steel, then use GOST tables to determine its density. This is not an easy task, and its solution takes a lot of time. To save the builder from having to rummage through technical literature on his own, an online calculator was created.
Steel pipe weight calculator
This calculator takes into account all the elements that affect the determination of mass, so inaccuracies in calculations are minimized. When counting manually, the same data will be used as in the calculator on the site, but the time will be spent ten times more. At the same time, manual counting is fraught with technical errors, while automation does not have this drawback.
Principles and elements of calculation
Determining the weight of steel pipes using a calculator is based on the data contained in GOST standards. The programmers included the possibility of calculations depending on the following parameters:
- pipe cross-sectional shape – round, square or rectangular;
- outer diameter (for a round pipe) or side length (for a profile pipe);
- wall thickness, which is determined in accordance with the technical data sheet of the product;
- steel grade;
- product length in meters.
Section of steel pipes
Formulas
From a physics course we know that the mass of an object is equal to its volume multiplied by the density of the material from which it is made. The volume is equal to the cross-sectional area multiplied by the height of the product. In the case of pipes, their length is taken as the height of the product. When making calculations, the greatest difficulty is the calculation of the cross-sectional area, since it has a complex geometric configuration.
The calculator calculates the weight of a square steel pipe using the following formula:
M = (Ro / 7850) * 0.0157 * s * (A * 2 – 2.86 * s) * L , where
- Ro – specific gravity;
- 7850 – density, kilogram per cubic meter (in this example, carbon steel is considered);
- 0,0157 – constant value;
- s – product wall thickness;
- A – side length;
- 2,86 – a constant value calculated based on the radius of rounding of the corners;
- L – pipe length.
A rectangular pipe is calculated as follows:
M = (Ro / 7850) * 0.0157 * s * (A + B – 2.86 * s) * L , where
A and B are the lengths of the sides.
The calculator calculates the weight of a round steel pipe using an algorithm described by the following formula:
M = π * Ro * s * (D – s) * L , where
π is a constant value, equal to 3.14, used when calculating the area of a circle.
Where to get the source data?
GOSTs contain information on the range and parameters of all standard types of pipes. In addition to dimensions, the calculations include a parameter such as steel density.
Density of steel of various grades
The letter designations in the steel grade indicate one or another impurity. Chemical elements that are added to steel have the following designations:
Designations of elements in alloys
Tolerances for calculations
Any inaccuracies that will be made when calculating the mass of pipes will be within the tolerances provided for by GOSTs. These inaccuracies will be higher for substandard products, and the mass of pipes of the highest quality will be calculated with maximum accuracy.
Profile steel pipe
The scatter is explained by the peculiarities of production. Pipes that meet quality requirements have constant wall thickness and perfect welds. The so-called substandard has flaws, which, however, allow the pipes to be used in construction, not necessarily for their intended purpose. These flaws affect the mass, which is reflected in the form of inaccuracies in the calculations.
calculation of the weight of round and profile pipes
Source: https://HomeMyHome.ru/ves-truby-stalnojj-kalkulyator-rascheta-i-formuly.html
Weight of a steel pipe: how to calculate correctly | Heating water supply boiler room, heat, water
- 1 Why is this necessary?
- 1.1 Calculation of metal structures
- 1.2 Calculation of the number of pipes during purchase
- 2 Remember geometry
- 2.1 Calculation of the mass of a round pipe
- 2.2 Calculation of the mass of a square pipe
- 2.3 Calculation of the mass of a rectangular pipe
- 3 Using formulas
- 3.1 Round pipe
- 3.2 Square pipe
- 3.3 Rectangular pipe
- 4 We climb into standards
- 5 Conclusions
In this article we will try to understand in what cases it is necessary to calculate the mass of a pipe and how this is done.
These pipes are not measured with a tape measure. They are weighed
Calculation of metal structures
Before you start manufacturing any metal structure, you need to perform a strength calculation.
- If we are talking about a pipeline, you need to know how often you need to install supports so that the pipe does not sag. Moreover, the mass of the pipeline is not only the weight of the transported liquid, but also the mass of the steel pipes of which it consists.
Calculation of the strength of a metal structure must also take into account its own weight
- When we talk about the load-bearing frame of an office building, sports complex or exhibition hall, we again need to calculate the weight of the structure. After all, not only the people in the building will put pressure on the foundation and supports with their weight. In fact, the weight of the steel frame of a building made of sandwich panels makes up most of the total mass of the building along with all its contents.
Please note: a channel or I-beam is used as a basis for floors, much more often than pipes (usually square or profile). They provide greater strength at the same specific weight.
Calculation of the number of pipes when purchasing
Suppose you have drawn up a pipeline or metal structure project and calculated that you need to purchase 1200 meters of pipe with a wall thickness of 4 millimeters and an outer diameter of 100 millimeters.
However, a surprise awaits you at the metal warehouse: wholesale batches of pipes are sold not by meters, but by tonnage. If so, the only way out is to recalculate the number of pipes you need from meters to tons.
This device weighs large diameter pipes individually
Calculation of the mass of a round pipe
As an example, let’s calculate the mass of those same thousand two hundred meters of pipe with a diameter of 100 mm and walls 4 mm thick.
In total, taking into account errors, cutting waste and other absurdities, it makes sense for us to purchase 12 tons of the treasured pipe.
Let us give you a hint: the thicker the pipe wall and the smaller its diameter, the greater the error this formula gives
Calculation of the mass of a square pipe
Here the calculation algorithm is slightly different.
But just a little.
Let's calculate the mass of the same 1200 meters of pipe with the same wall thickness of 4 mm and a wall size of 100 mm.
At the same time, we will understand how the mass of a round and square pipe relates to such similar sizes.
Of course, no one bothers you to simply measure the length of the pipe and their number in the package and ask to load a certain number of packages. But they will still be weighed
Calculation of the mass of a rectangular pipe
And here the difference is small:
Walk like this: let's calculate what the mass of a rectangular steel pipe 18 kilometers long, 180x145 millimeters in size and with twenty-millimeter walls will be.
Such a monster is actually produced and used as a load-bearing element where high bending strength is needed.
Large profile pipes are often used in complex load-bearing structures. Here, inaccuracies in calculations can be fatal. Fortunately, the safety margin was not canceled
Large profile pipes are often used in complex load-bearing structures. Here, inaccuracies in calculations can be fatal. Fortunately, the safety margin was not canceled.
We use formulas
Of course, this is not the only way to calculate. Metallurgists have special formulas that allow them to calculate with minimal time the mass of steel pipes with given dimensions.
Please note: our geometric method is somewhat cumbersome, but it is much more universal than specialized formulas.
Substitute the density of, say, polyethylene or aluminum instead of the density of steel - and you will be able to calculate the mass of pipes made from these materials.
Round pipe
The formula in its case looks like:
(D - T) * T * 0.025
Where D is the outer diameter in millimeters (note, in millimeters!), and T is the wall thickness.
It looks like we have a great opportunity to compare different calculation methods. Let's take the round pipe from our previous example:
1200*(100-4)*4*0.025=11520 kg. As you can see, there is a difference with the first method, but it is very small (of course, as a percentage of the total mass).
Slightly different results
Square pipe
For a square pipe, the mass of a linear meter in kilograms is calculated using a different formula:
(W - T) * T * 0.0316
T is still the wall thickness of the square pipe, and W is the width of its side. Both values are in millimeters.
And again, let's calculate the weight of a meter of pipe from our previous example in order to compare the results of the two formulas:
1200*(100-4)*4*0,0316=14561,28.
There is again a difference with the previous calculation method and again it is small.
However, a little more
Rectangular pipe
For rectangular pipes there is also a formula:
(Sh1 + Sh2 - 2T) * T * 0.0158,
Where Ш1 and Ш2 are the sides of the pipe, and T is the thickness of its wall.
Let's take our pipe 180*145*20 mm with a length of 18 kilometers:
18000*(180+145-2*20)*20*0.0158=1621080 kg or 1621.08 tons.
Last time we got 1836.9 tons. The difference becomes significant enough to pose the question: which formula is lying?
Something doesn't add up
We climb into standards
Frankly, there is a way to avoid any complex calculations in principle. The fact is that the weight of a linear meter of pipe is specified in the assortment table, which, in turn, is part of the standard for each type of pipe.
Thus, steel rectangular pipes are produced in accordance with GOST 8645-68. The treasured pipe measuring 180x145x20 millimeters is located at the very end of the table (it is in the appendix to the article), in the “special sizes” section. And what do we see there?
A linear meter of pipe weighs 84.1 kg. Accordingly, 18 kilometers of pipe will have a mass of 18000 * 84.1 = 1513800 kg, or 1513.8 tons.
There is a discrepancy with both results. We tear out the hair on our bodies and bang our heads against the wall in despair.
He also calculated the mass of the pipe in different ways
conclusions
There are actually several of them.
- Different calculation methods give quite a noticeable scatter of results. If, when calculating the strength of metal structures, the safety margin in any case exceeds the deviation from the calculated weight, then when purchasing a large number of pipes, there is a real chance of making an error up or down, which will lead to a re-purchase or budget overrun;
- When purchasing pipes, it is wiser to rely on figures from GOST. Exclusively because in a controversial situation your position will be more reasoned: if, according to GOST, there should be 100 meters in a ton of pipe, but it turned out to be 110, it means that the pipe manufacturer has deviated from the standards for the sake of economy.
- If purchasing an additional pipe is not a big problem, it is better to focus on the minimum of the calculated values. Just for reasons of economy.
Good luck!
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- own emergency service;
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Qualitatively according to the contract, guarantee:
Weight of steel pipe: how to calculate correctly
- installation of a heating system;
- installation of autonomous water supply;
- boiler equipment maintenance;
- repair, replacement and restoration of the pipeline.
Source: https://resant.ru/massa-stalnoy-trubyi-kak-pravilno-rasschitat.html
How to calculate the mass of a pipe
Water supply, heating, sewer, chimney, casing, copper, steel, plastic, metal-plastic, narrow, wide - pipes for various purposes from various materials surround us everywhere. The need to lay new communications or replace old ones arises both during the construction of a house and during ongoing repairs. When drawing up a project for the upcoming work, it would not hurt to arm yourself with a calculator to calculate the weight of the pipe, its mass, volume and other parameters.
How to calculate the volume of a pipe?
This diagram clearly shows the use of data such as the cross-sectional radius of the pipe and its length to determine the volume of the pipe
Calculating the volume of a specific pipe section is also not difficult. To do this, you must first find the circumference of the pipe based on its outer diameter using the formula given above:
In this case, D is the outer diameter of the pipe, and R is the outer radius, i.e. half the diameter. After this, the resulting value must be multiplied by the length of the pipe section, obtaining the volume, which is expressed in cubic meters. The formula for calculating pipe volume may look like this:
- V—pipe volume, cubic meters. m.
- S—external section area, sq.m.;
- H is the length of the pipe section, m.
Let's say there is a pipe with an outer diameter of 50 cm and a length of 2 meters. First, all units of measurement must be agreed upon. D=50 cm=0.5 m. Substitute this value into the formula for the area of a circle:
Now you can calculate the volume:
Source: https://moy-instrument.ru/masteru/kak-vychislit-massu-truby.html
Pipe calculation: how to calculate the weight, mass and volume of a pipe - Engineer's Advice
Author Oksana Knopa Date Jan 31, 2016
In such a situation, use the following indicators:
When applying the above indicators, the exact number of tubes and their technical characteristics are determined.
Carrying out a preliminary calculation of pipeline products eliminates the costs associated with the purchase and movement of these building materials.
As a result, the various media contained in the stainless steel (water, gas, air) move at a pre-calculated speed, resulting in increased efficiency of the system.
Below is a table of steel pipes that shows their main characteristics. Knowing the specific dimensions of steel pipes, you can choose the optimal design that is needed for the construction of the pipeline.
Characteristics of different types of pipes, with the help of which it will be easy to choose the appropriate design
Calculations of various pipe parameters
In order to make the correct calculation of the required stainless steel indicators, you must use the following parameters:
- type of material - what the pipeline product is made of;
- type of stainless steel section;
- pipe wall thickness indicators;
- stainless steel length, etc.
Using the above information, you can calculate the volume of the pipe, and then calculate the mass of the pipe, or vice versa.
Some information can be obtained by measuring the stainless steel structure itself.
Also, certain information (dimensions of metal pipes, etc.) can be found in various certificates, reference tables and GOSTs.
How to find out diameters and volumes
If you need to determine the diameter of a steel pipe, you need to calculate its circumference.
In this case, you can use the tape that seamstresses use.
You can also wrap the stainless steel with any tape, and then use a ruler to measure the diameter of the pipe.
Then you need to use the formula to calculate the circumference:
L=πD, where:
D—circle diameter;
π - 3.14.
It's worth a little effort to find the diameter of a circle:
D=L/π.
The inner diameter is the difference between the outer diameter and the thickness of the pipe
After calculating the thickness of the pipe walls, it is necessary to find the internal diameter of the stainless steel. In this case, it is necessary to subtract twice the thickness of the pipe walls from the outer diameter of the stainless steel.
How to calculate the volume of water in a tube
A similar question may arise, for example, when designing a future heating system.
The volume of water in the pipe is equal to the product of the volume of water per 1 m of pipeline product and the length of the stainless steel.
Section calculation
In order to determine the cross-section of a steel pipe, it is necessary to calculate the area of the circle. When making such a calculation, it is necessary to take into account the difference that arises between the diameter (cross member) of the pipeline product and the thickness of its walls.
The inner diameter of the tube can be found by subtracting the thickness of the stainless steel from the size of the outer cross member.
The area of a circle can be found using the following formula:
Source: https://sovingener.ru/raschet-truby-kak-rasschitat-ves-massu-i-obem-truby.html
Steel pipe weight: calculator to help the builder
Steel pipes are used in many areas of construction. With their help, they make a foundation, create fences, lay a water supply system, and build various sheds. In this case, the mass of the pipe is as important as its strength.
After all, the load on the soil or foundation, as well as the price of pipes and the cost of their delivery, depend on the mass. A steel pipe calculator will help you find out the weight more accurately than just estimating by eye.
Our development will provide data on the mass of any type of pipe, so you can more accurately carry out other calculations.
Steel pipes
What is a calculator for?
All pipelines that comply with GOST standards adopted in Russia are manufactured using certain grades of steel. At the same time, the outer and inner diameters, wall thickness and other characteristics are strictly regulated.
To determine the mass of a pipe, you need to use calculations to find out the volume of metal that was used in its manufacture, then multiply this parameter by the specific gravity of the steel and the length of the pipe. As a result of complex calculations, which can take up to one hour, you will obtain the mass of a pipe of a certain length.
A steel pipe calculator will help you determine the weight much faster.
Square pipe
Formulas and theory for calculating pipe mass
To correctly calculate the mass of the pipe, you will need to know the following parameters:
- section type;
- internal diameter;
- Nar-ny diameter;
- wall thickness;
- steel grade.
It is recommended to take these parameters from the documentation for the pipes, or measure them yourself, for example, using a caliper. All pipes are divided into three main types - round, square and rectangular. Each type of pipe uses its own calculation method. The calculator determines the weight of a steel pipe based on internal algorithms and various tables, but you will have to calculate the mass manually, just like in school, resorting to many formulas.
Rectangular profile pipe
Determination of the mass of a round pipe
To calculate the weight of a round pipe, you need to determine the area of the ring, which is formed by the outer and inner diameters. To do this, use the following formulas:
S = (D² – d²)
S = π(R² – r²)
S = 2 πŕK
The symbols in these formulas mean:
S – ring area;
π – the number “Pi” accepted in geometry (3.14);
D – outer diameter;
d – internal diameter;
R – outside radius of the pipe;
r – internal radius of the pipe;
ŕ – average radius of the pipe;
K – wall thickness.
Any of the formulas gives the same result, so everyone chooses the one that they like best for some reason. Then it multiplies by the length of the pipeline and the specific gravity of the desired steel grade. Naturally, the calculator determines the weight of a round steel pipe in a different way. The ratios of the outer and inner diameters of any steel pipes are recorded in a table and the calculator simply takes the desired value and performs the calculations.
Calipers
Determining the weight of square and rectangular pipes
To calculate the mass of these pipes, the external and internal cross-sectional area (section) is determined. Next, the internal area is subtracted from the external one and the resulting value is multiplied by the length of the pipe and the specific gravity of the steel.
Such calculations are much simpler than determining the mass of round pipes, but they also require time and attention. Therefore, the calculator determines the weight of a square steel pipe much faster and easier.
Just enter the required values and it will perform all the calculations on its own.
Calculating the mass of the pipe (video)
Source: https://aquatic-home.ru/ves-truby-stalnoj-kalkulyator.html