How to calculate the roof area of ​​a house. How to calculate the roof area: ways for different types of roofs Correctly calculate the square of the roof

Properly selected and mounted roof will withstand any weather vagaries and will last for decades. What will be the roof of a country house, and what materials it will consist of, is determined at the design stage. It is better to entrust the technical nuances of design to professionals. Before making the final choice, the future owner needs to get an idea about the features of various types of roofs and (not least) about the amount that the chosen design and roofing material will cost. At this stage, a roofing calculator will help you calculate the material for a gable roof, or any other - this is a quick way to get a detailed answer.

The calculator will help you estimate the cost of a roof in the early stages of planning Source colourbox.com

Online roof calculator

To find out the approximate cost of a roof, of various types, use the following calculator:

Calculation parameters for roofs and roofing material

Before calculating the roof of the house, the calculator will request certain data. One of them is the type of roof. There are two criteria by which you can determine the type of roof: the angle of the roof and the number of slopes (planes). If the angle of inclination of the roof is zero, the roof is called flat, if it is greater than zero - pitched. Pitched structures, in turn, are divided into types, depending on the number of slopes. In private low-rise construction, several types of roofs are common, including:

Shed. It looks rather modest, but the simplest constructively and the least expensive in construction. It is a plane supported by walls of different heights. A shed roof can be seen on a garage, shed, or modern high-tech project. Such constructions are described by a small number of parameters and are calculated on all online calculators.

Common forms of pitched structures Source remokna.in.ua

Gable (gable). The most common, classic version with two rectangular inclined planes connected by a ridge and a centuries-old history. The vertical triangular planes between the slopes are called gables (tongs). In modern private construction, the symmetry of the slopes is an optional condition. They can have a different slope and vary in size (broken lines), which opens up great opportunities in the design of roof structures. A gable roof is ideal for an attic. For calculations on the online calculator, parameters such as the length and width of the slopes, the length of the overhangs and the height of the structure are used.

Hip (four-slope). The main slopes are called hips and look like trapeziums, and the pediments are located not vertically, but at an angle, turning into slopes. The hip system is much more difficult to design and install than the previous ones, but this is offset by increased structural stability. In addition, the hip roof allows you to raise the ceiling for the attic, making it much more comfortable. The calculation of the hip roof on the online calculator has certain subtleties (the base can be square or rectangular) and includes the angle of inclination of the slopes.

Multi-forceps. A complex structure consisting of several tongs (gable elements). The calculation of such a roof is a job for an experienced architect. There are online calculators that calculate the roof area of ​​a three-gable roof, but they give a very approximate calculation result.

The complexity of the rafter system of a multi-gable roof excludes independent planning. Source yandex.ru

Attic. The slope consists of two elements: the lower, steeper, and the upper, gentle. This design allows you to increase the useful area of ​​\u200b\u200bthe room, but in order to calculate it on an online calculator, you will need at least a preliminary drawing and understanding of the structure of the truss system.

Types of roofing materials

The issue of roofing material is also decided at the design stage. His choice is influenced not only by the preferences of the designer, but also by more real factors, including the amount of precipitation and the strength of the wind in the region. The online calculator makes it possible to find out not only the quantity, but also the cost of the selected material. A roof calculator is usually set up to calculate the following materials:

Decking.

metal tile.

Soft (roll) roof.

Rebate coating(steel, aluminum or copper).

Roof tiles. Ceramic (piece), flexible (soft), cement-sand, composite.

Slate(mainly for outbuildings).

Calculator for calculating metal tiles (works with several types of roofs) Source amvita.ru

The main elements of the roof structure

The roof of a country cottage is not only a decorative detail and a visiting card of the building, but also a complex engineering system. It includes a variety of building details, the main of which are the following:

Mauerlat. A beam that fits over load-bearing walls. It is a support for the truss system and transfers the load from the roof to the building.

rafters. Bars or boards located at an angle, the basis of the system. The online calculator allows you to calculate some parameters of the truss system.

Auxiliary elements. Racks, beams, girders and puffs serve to fix the rafters and strengthen the structure.

Skate. The upper edge of the roof, the intersection of the slopes.

crate. Lattice structure on which the roofing material is attached. For some types of roofing, continuous flooring is required. The lathing parameters on the online calculator are calculated quite well, especially for a roof of a simple design.

The main structural elements of the truss system Source kafmt.ru

On our site you can find contacts of construction companies that offer the service of designing country houses. You can directly communicate with representatives by visiting the exhibition of houses "Low-Rise Country".

What is calculated on the online calculator: types and possibilities

Even with ready-made drawings in hand, the future owner will not always find time for their careful study and painstaking calculations on paper. Among all the ways to solve the question of how to calculate the roof of a house, an online calculator will be the best option. There are two types of calculators that perform a certain type of calculation:

Standard Roof Calculator

The most common type, which allows you to get the basic parameters, from the angle of inclination of the rafters to the permissible load on the roof. In the calculation of roofing material, as a rule, there are all popular options (all kinds of tiles, slate, ondulin and other materials). Widely presented are calculators for calculating a single and gable and hip roof; there are services for calculating a hipped roof or attic. The online gable or shed roof calculator is designed for simple tasks; more advanced calculation programs must be downloaded and installed on your computer.

Fragment of an online hip roof calculator Source citymang.ru

Construction Calculator

For calculations, complex calculation algorithms are used, as a result, you can get not only tables of numbers, but also a set of detailed drawings, as well as 3D visualization. In a construction calculator, as a rule, you can calculate any type of roof. In addition to the main parameters, you can find out how much lumber is needed, choose the best insulation and vapor barrier. The drawings will show the layout of the truss system and the battens and will allow you to control the correct angle of inclination and the location of the rafters.

The device of an online calculator for calculating a gable roof

The gable roof truss calculator is an easy-to-use tool that allows you to perform basic structural calculations. The interface of any service has a convenient and intuitive look and looks like a set of empty fields with explanations. For the convenience of visitors, schematic images of various types of roofs with parameters applied to them are placed next to the page.

Before starting calculations, you should familiarize yourself with the designation of the fields. Source stankotec.ru

The user needs to enter the desired value (size) in each field or select an option from the available ones. When filling out, you should pay attention to the dimension - parameters can be entered in cm or mm. After filling in the fields, you press the calculation key and get the desired result in the form of the following data:

Number of roofing materials. The calculator will allow you to calculate the amount of metal tiles (or other material) for a country house with a gable, hip or other roof.

Calculation of the truss system and roof gable. According to the given wall width and height to the ridge, the service will help determine the length of the rafters and the area of ​​the roof gable.

To calculate the material for the roof of the house, the "gable" program will require you to enter the following values:

Roof dimensions. There are separate fields for entering height, width (on each side) and overhang.

Rafter dimensions. Sets the width and thickness, as well as the distance between the rafters and the distance to the edge of the roof.

Video description

About the calculation of the roof on the construction calculator in the following video:

Lathing parameters. Enter the width and thickness of the boards, the distance between them.

Roofing material parameters. If a roofing sheet is selected, set the height, width and overlap of the sheet.

The result of the calculation will be the following parameters:

Roof size. The height and width of the canvas, the total area.

rafters. Number and length of rafters. The volume of the required material (in cubic meters) is also calculated.

crate. The calculation shows the number of rows of boards, the length of each part and the volume of the boards of the crate.

Roofing material. The area of ​​\u200b\u200bhydro and vapor barrier is calculated. So, if roofing material or glassine is chosen as the roofing material, the calculator shows the required number of rolls (based on the size of the roll), taking into account the overlap.

roofing material. The calculator determines not only the coverage area, but also the weight and the required amount of the selected material.

Calculator for calculating the main elements of a gable roof Source stankotec.ru

Calculation of additional parameters

Many online services calculate additional, no less useful values:

Roof slope. The calculator will determine not only the optimal angle value, but also tell you if it is suitable for the selected roofing material. By changing the height of the lift or the width of the base, it is possible to achieve full compliance with the angle of the material.

Calculation of wind and snow load. For some areas, this load may be the determining factor for choosing the type of roof. You will need to enter additional information into the calculator: construction region, type of terrain, height to the ridge of the building, type of wood for the rafters.

Chimney calculation. For safe operation, it is necessary to determine the height of the chimney relative to the roof ridge. Incorrect design can affect the stable operation of heating devices and lead to unplanned financial expenses (if alteration is required).

When calculating the chimney, the presence of obstacles near housing is taken into account Source stroim-dom.radiomoon.ru

Limitations in using the online calculator

Roofing calculators offered by Internet resources are an affordable and very fast way to get the necessary information. But like any mechanisms designed for the mass user, such calculators tend to use generalized methods of calculation. Worst of all, the calculation process is hidden from the person who turned to the calculator; it is very difficult to double-check the output information.

The calculator for calculating the roof of a house may contain some (permissible) parameter variations, which, nevertheless, will affect the final result. Among the possible results, which may contain inaccurate (approximate) values, there are:

Determining the total amount of roofing material

The building material is never butt-to-joint, so the surface area of ​​the roof and the area of ​​coverage will always be different. When calculating, the roofing area is standardly increased by 15% - this provides a margin for overlap formation.

Video description

About calculating a gable roof with a free calculator in the following video:

If the roof has a complex structure, the calculation also becomes more complicated, since an experienced designer simultaneously solves the additional problem of minimizing waste. For such purposes, different algorithms are used (with different cumulative errors and with different results), which one is embedded in the calculator is known only to its developers.

It is believed that the calculator helps to save on the purchase of building materials. But when installing a complex-shaped roof, in this case it often turns out that extra (often expensive) materials were purchased. The reverse situation, when there is not enough material and you have to pay for an unplanned purchase and delivery, is no less annoying.

Determination of the slope for the roof

Building codes prescribe minimum slope ratings for each roofing material. They are calculated taking into account the slope of the roof and additional indicators (wind and snow load). Specialists perform calculations in accordance with the norms of SNiP "Loads and Impacts" and additional design standards. It is not possible to check what indicators the roofing calculator uses in its work.

Some calculators take into account additional parameters (the presence of skylights and gutter systems) Source stankotec.ru

Roof calculation: how to avoid mistakes

Calculations can be done in one of the following ways:

Calculate the roof manually. If you have basic knowledge of geometry, you can make preliminary calculations manually. To do this, it is enough to stock up on paper, a pencil, an ordinary calculator, and remember that any roof is a set of simple shapes (rectangles and triangles), the calculation of the area of ​​\u200b\u200bwhich is described by the simplest formulas from the school course. The method does not work well if the calculations become more complicated. They take a lot of time and increase the risk of error.

Calculate the roof online. It should be borne in mind that the values ​​​​are always averaged; your planned home may require a custom solution.

Check the calculation of the roof with a calculator manually. Online roofing calculators are a convenient way to model a roof structure and find out the required amount of building materials. The calculation of simple structures is easy enough to check, but if you do not have a specialized education, confusion with coefficients and percentages is inevitable. Differing results will cause lengthy rechecks and error checking, as well as distrust of the calculator's abilities (or your own).

Checking the results of the calculation will require time and care. Source transsib6.ru

Professional calculation of the roof. For preliminary calculations in order to determine the materials and construction of the roof, this method is clearly not suitable. But when ordering a turnkey house, the construction company will prepare a full-fledged project, which will indicate all the calculations for the calculations and the estimate. In addition, specialists can make preliminary calculations for you even at the stage of discussing the project.

Conclusion

An online roofing calculator is considered to be a good tool for determining the main parameters of a future roof. But professional builders recommend using it only for a rough estimate of the quantity and cost of building materials. Also, the calculator can become an indispensable tool for comparing the costs of various technologies.

Building a house is a very responsible and expensive project, and one of the most difficult and costly stages is the construction of a roof. Correct calculation of its area can significantly reduce the cost of its construction. In this regard, it is necessary to clearly understand the procedure and methodology for calculating the area of ​​\u200b\u200bthe roof. The first step is to determine the type of roof for which the calculation will be performed. Anyone who is looking for an answer to the question of how to calculate a hipped roof will benefit from our article.

Today, the following types of roofs are distinguished, which differ in their design:

• lean-to;
• gable;
• four-slope;
• half hip;
• attic type;
• hipped roof;
• 4-pitched spire-shaped.

Regardless of the type of roof, when purchasing building materials, the correctness of the calculations made is crucial. Given the trend towards ever-increasing prices for all building materials, accurately determining the area of ​​​​the roof will be an effective way to save money. And the calculation method itself is not so complicated, it requires attentiveness, knowledge of the school geometry course, knowledge of the geometric parameters of the building and the ridge, as well as the correct names of the roof construction elements.

Hip roof area

The most popular roof option today is a four-slope, which involves the presence of 4 slopes located at an angle to the base. To calculate the area of ​​\u200b\u200ba hipped roof, we need:

• calculate this value for each slope;
• add together the resulting values.

It is very important to check the results of your calculations several times, otherwise you may end up with a surplus or shortage of building material.

In most cases, all construction and design companies have as their input the projection of the roof, that is, the area of ​​\u200b\u200bthe base under it. Before starting the calculation work, we will divide the projection zone into simple constituent figures: trapezoids, triangles, rectangles and squares. The formula for calculating the area of ​​each of these figures is well known to every student, so it will take a little time to get the result using a calculator. Taking into account that each projection element is at an angle, its area should be multiplied by the accepted cosine of the slope angle. After adding up all the results obtained, we get the area of ​​\u200b\u200ba hipped roof. As can be seen from the description, calculating this value will not cause any particular difficulties for people with an average level of knowledge of the school geometry course. For this reason, many builders assign the functions of performing such important tasks to their production workers: foremen, technical supervision workers and other engineering and technical workers.

One of the important conditions is the calculation of the cornice overhang, and not the edge of the building, otherwise the result will be incorrect.

The area of ​​\u200b\u200ba hipped roof is calculated in compliance with the following rules:

• it is necessary to take into account the area of ​​the following elements: ventilation ducts, chimneys, attic and its windows;
• the length of the slope is measured from the bottom of the ridge to the top of the eaves;
• for parapets, overhangs and firewalls, add 5% of the length;
• in order to calculate the required consumption of building material, you need to know the type of roofing, since each of them has its own consumption rates;
• when covered with shingles or rolled materials, the length of the slopes will decrease by at least seventy centimeters.

You should be aware that rolled materials are the most economical option for covering a roof with a complex shape. They fit perfectly on almost any surface, their installation does not cause difficulties and takes place in the shortest possible time.

Calculation of roofing materials

The purchase of roofing materials is accompanied by significant financial expenses, the optimization of which can save huge amounts of money. For this reason, when calculating the area of ​​​​a 4-pitched roof for the purchase of roofing material, the following features must be taken into account:

Using a simple method of carrying out calculations according to the above formulas, you can get a reliable result, which, with a competent approach, is converted into money saved on the purchase of building and roofing materials.

How to calculate the area of ​​\u200b\u200ba hipped roof. Calculation of the amount of material for a hipped roof. Required formulas for calculating the area

How to calculate roof area? Calculation of the roof area of ​​a hipped roof

Before proceeding with the construction of the roof, be sure to draw up an appropriate project. This will save you money and avoid unnecessary rework. To calculate the required amount of material, it is necessary to conditionally break the roof into simple geometric shapes. Next is the area of ​​each element. The results obtained are added up. Let's look at how to calculate the area of ​​\u200b\u200ba roof of one kind or another, in more detail.

Roof measurement rules

First of all, you need to determine the angle of inclination of the slope. It is its value, as well as the width of the pediment and the length of the slope, in most cases that are the main values ​​​​used in the formulas for calculating the required amount of roofing material and elements of the truss system. If the latter has already been erected, additional measurements should be taken. This will allow you to more accurately determine the amount of the required roofing material, vapor and waterproofing film, as well as insulation.

First, let's figure out how to take measurements of the roof. The rules for the work in this case are as follows:

• The length of the slope is measured from the highest point on the ridge to the lowest point on the overhang of the eaves.
• Horizontal measurements are taken not along the facade, but along the eaves of the roof itself.
• The correctness of the measurement of the slopes is checked by making a measurement diagonally.
• Record the results on paper with a roofing scheme drawn on it in advance.

How to find out the area of ​​\u200b\u200ba shed roof

• K \u003d √A 2 + B 2, where A is the width of the span, B is the height of the rack under the rafters. To the result K, add the length of the overhang and get the length of the rafter T.
• C \u003d T x M, where C is the roof area, M is the length of the slope eaves.

If the height of the rack is not known, the length of the rafter is often found a little differently: the width of the span is multiplied by the cosine of the angle and the length of the overhang is added.

Gable roof area

The question of how to calculate the area of ​​\u200b\u200ba gable roof is also not particularly difficult. The area of ​​\u200b\u200ba gable roof is exactly the same as that of a shed roof. The formulas used are the same. The only difference is that the area of ​​\u200b\u200bthe slope must be multiplied by 2. Sometimes the gables of such a roof are also sheathed with roofing material. In this case, the calculation is carried out according to the formula for finding the area of ​​a triangle:

• C \u003d 1/2 H x A, where H is the height of the roof, A is the width of the span.

There is another answer to the question of how to calculate the area of ​​\u200b\u200ba gable roof. If the height of the roof is not initially known, calculations can be made from the slope of the slope. In this case, the formula for the area of ​​a triangle will look like this:

• C \u003d 1/2 A x B x sine a, where A is the span width, B is the length of the rafter, and is the angle of inclination of the slope.

The area of ​​the broken gable roof

The gable broken roof consists of four planes. First you need to calculate their area. To do this, we first find the length of the layered or hanging rafters (K = √A 2 + B 2). Next, the rectangle area formula is used, that is, the result obtained is multiplied by the length of the cornice or run, respectively. At the final stage, we add up all the received numbers.

How to find the area of ​​\u200b\u200ba hipped roof

The most difficult thing is to calculate the area of ​​\u200b\u200bthe roof of a hipped roof. The calculation method primarily depends on the design features of the truss system. First, let's deal with the calculations of the hipped roof. It consists of four triangles of the same area. It is this design that is used most often. Therefore, in this case, we use the same formulas that we used to calculate the area of ​​\u200b\u200bthe pediment of a gable roof.

The calculation of the roof area of ​​a four-pitched hip roof is carried out taking into account the fact that it consists of two triangles and two trapezoids. The area of ​​triangles is found by the formula:

• C \u003d 1 / 2 H x A, where H is the height of the triangle, A is the length of the crossbar. The result is multiplied by 2.

• C \u003d (A + B) x H: 2, where A is the length of the upper run, B is the length of the lower run, H is the height of the roof.

Thus, we multiply the result by 2 and add the area of ​​\u200b\u200btwo triangles to it.

The nuances of calculating sheet roofing material

How to calculate the area of ​​\u200b\u200bthe roof, we found out. Next, we will figure out how to find out the amount of roofing material you need. Of course, in order to find out the number of sheets needed to cover the roof, you need to know their length and width. In addition, the calculation should take into account the length of the overhangs of the cornices, as well as the width of the horizontal and vertical overlaps. Usually they are 15-25 cm. The area of ​​​​the pipe and ventilation outlets in the case of using sheet materials is not deducted from the total area. In addition to the roof area, in this case it will be necessary to find out the required number of ridge elements and valleys. The calculation of rolled soft material is carried out according to the same rules. The only thing in this case is to take into account the width of the overlap on the ridge and in the valleys.

How to correctly calculate the required amount of piece roofing material

When calculating the amount of ceramic tiles required to cover the roof, its length and width should be taken into account. Useful width is specified by the manufacturer. The useful length is calculated taking into account the overlap, which can be different at different angles of the roof. First you will need to calculate how many tiles will be needed to cover 1 m 2 of the roof. The result is multiplied by the area of ​​the roof.

Sometimes roofs are covered with such interesting material as wooden tiles. The calculation in this case is carried out in the same way as for the usual one. However, the elements of this roofing material are most often stacked in three layers. Thus, the result obtained should be additionally multiplied by 3.

Calculation of waterproofing material

The waterproofing film is mounted on the roof in strips with an overlap of 10 cm. This must be taken into account when calculating. The overlaps on the eaves and gable overhangs will have to be 15 cm. It should also be borne in mind that the film is almost always laid with an indent of 30 cm from the ridge. This place is closed with a special insulating tape. Among other things, the waterproofing film must be applied in the area of ​​the valleys and pipes.

Finally, we will give a couple of useful tips on how to calculate the roof area and the amount of material. After completing all the necessary calculations, be sure to add 10% to the result. The fact is that losses during roof sheathing work are inevitable. Almost all roofing materials are sold in batches. And this means that it will be impossible to pick up additional sheets of exactly the same shade as those already used for coating. If the roof has a complex configuration, the margin should be increased to at least 13%, since the number of trimmings in this case increases. Especially a lot of waste remains when sheathing gables and triangular slopes. In the event that there are many such elements in the roof structure, more than 13% of the material should be purchased additionally.

Thus, you now know how to calculate the roof area correctly. The work is quite complex and requires precision. However, it is quite possible to do it yourself. Especially if the roof has a not too complicated design. The same applies to the calculation of roofing material.

In order to determine the amount of roofing material needed, you should know how to calculate the area of ​​\u200b\u200bthe roof. This procedure is rather complicated and requires precision. The calculations use formulas for finding the area of ​​simple geometric shapes.

How to calculate the area of ​​\u200b\u200ba hipped roof - rules and sequence

Four-pitched roof of the house

Four-pitched roofs are the most popular option in modern private construction. Often, developers have a question: how to calculate the area of ​​\u200b\u200ba hipped roof. This is necessary to determine the amount of roofing material, waterproofing and insulation.

Today, you can make a calculation using computer programs designed for any type of roof. This has its advantages: high accuracy, the possibility of choosing various design options, and convenience. However, some builders prefer to rely on their own wits rather than spending money on something they can do themselves.

Before proceeding with the calculation of the roof area, a detailed plan should be drawn up, where all dimensions will be applied. Not a single element of the roof should be missed. In addition, already at the stage of designing a house, one should decide on the choice of roofing material, since the slope of the roof depends on this. The sharper the angle of inclination, the longer the roof slope. And that means more material consumption. In addition, each roofing material is individual. For example, profiled metal sheets require much more overlap during installation than, say, natural shingles.

Having an accurate calculation of the roof area of ​​​​the house, you can choose the most profitable roofing material, as well as insulation, steam and waterproofing.

Four-pitched roofs may differ in shape:

• directly four-sided;
• half hip;
• hip;
• four-slope gable.

The roof areas are most simply calculated, the slopes of which are regular trapezoids and triangles and do not have any kinks on the slopes.

However, in modern construction, hip roofs are increasingly being erected, with many slopes, the surface of which can consist not only of triangles and trapezoids, but also rhombuses, rectangles and other geometric shapes.

That is why, before you start calculating a four-pitched roof, it is advisable to refresh your knowledge in the course of school geometry.

Self-calculation of the area of ​​\u200b\u200ba hipped roof

As mentioned earlier, first of all, a complete roof plan is drawn up. If there is no house project or the rafter system has already been installed, then the roof plan will have to be drawn up according to the existing frame. All you need is a tape measure and a corner. With this tool, all roof lines are measured, from the ridge to the floors. If the roof is multi-level and consists of different heights, then the drawing must reflect where what height is. It is also desirable to draw up a roof plan in projection. This will help to present the picture most clearly. However, it is only necessary to make a roof projection if you have drawing skills.

Having drawn up a detailed drawing, it will not be difficult to decompose the roof into separate geometric constituent elements. This is necessary for more accurate calculations.

Remember that the dimensions of the roof cannot be limited only to its perimeter. It is also necessary to add the length of the roof overhangs where it is supposed.

Rules to be followed when calculating a four-pitched roof:

1. It is necessary to break the drawing into separate geometric shapes. Put each of them on a separate drawing. Transfer all dimensions.

The simpler the figures are, and the more parameters you know, the easier it will be to calculate.

• The length of one slope is determined by measuring the distance from the extreme line of the eaves to the ridge.
• Each roof slope is calculated as follows: the area of ​​\u200b\u200bthe figure is multiplied by the cosine of the angle at which this roofing element is located.
• If any slope is an irregular rectangle, it must be divided into regular geometric shapes. And also to calculate each separately.
• After the calculations of each element separately, the obtained digital values ​​are summed up.

Calculation of the hip roof area

For example, let's take a calculation of the roof of a four-pitched roof.

Suppose that our four-pitched roof consists of the following elements: two regular trapezoids and two isosceles triangles. The roof slopes are at an angle of 30°. The cosine of this angle is 0.87.

Trapezoidal slopes have the following parameters: one side is 10 m, the other is 7 m, the height is 3 m.

Triangular slopes: two sides of 3.34 m, one side of 7 m. The height of the triangle is 4.8 m.

Let's start with the calculations.

The area of ​​a trapezoid is found as follows: sum the length of the horizontal sides, divide by 2, multiply by the height. That is, in our case: S \u003d (10 + 7) / 2 x 3 \u003d 25.5.

Do not forget that the resulting number must be multiplied by the cosine of the angle, in our case by 0.87. As a result, the area of ​​\u200b\u200bthe trapezoid slope is 22.185. We round up, up to 22.5 meters.

The final step is the summation of all areas: S = 22.5 × 2 + 14.7 × 2 = 74.4. Round up to 75.

Thus, the area of ​​\u200b\u200ba hipped roof, in our case, will be equal to 75 m².

During the calculation, various small elements, such as dormer windows, ventilation ducts, chimneys, parapets or skylights, are not subtracted from the total area. Since their area is small, they do not entail special financial costs. In addition, it is quite possible to make a mistake in the calculation.

Calculation of roofing and other materials

After the calculation of the four-pitched roof has been carried out, and the total area has been calculated, you can begin to calculate the required footage of roofing material. It is an erroneous opinion that the area of ​​​​the drawing of the roof and the area of ​​\u200b\u200bthe required material are the same. The bottom line is that all elements of the roofing material must be laid in an overlap. In addition, each roofing material has its own technical indicators of the amount of overlap. Accordingly, the cost of materials increases significantly.

When calculating the required amount of roofing material for a multi-level roof, it is advisable to seek help from a computer program. It will make calculations faster and more reliable.

But you can do the calculation of the required material for a simple roof yourself. This does not pose any particular difficulty.

Let's give an example of calculating the amount of slate for our hipped roof, the area of ​​which we calculated earlier.

To do this, we need to make a proportion:

X - 15%, where S - roof area, X - margin equal to 15%.

After X is calculated, the resulting number must be added to the area S. As a result, the area of ​​\u200b\u200bthe required amount of material will be obtained.

Thus, in our case, the proportion will look like this:

X = 15 x 75 / 100 = 11.25. round up to 11.5.

11.5 + 75 = 86.25 (m?) - the area of ​​\u200b\u200bthe required roofing material.

Calculation of roofing materials

In addition, when calculating the required material, it should be remembered that there will always be waste, they may need up to 20% of the material. That is, again, you should make a proportion, where X is now the expense. The result obtained is added to the area.

When erecting a complex roof, a stock of material should be taken not 15%, but not less than 20%.

The calculation of soft roofs is carried out according to the same formulas as the calculation of slate. Consumption depends on the type of roofing material and the technology of its installation. The areas of valleys and ridges are considered and ordered separately, since they are measured not in square meters, but in running meters.

The length of the roofing sheets, determined by the height of the slope, is calculated by the size of the roof of the house. As a rule, metal tiles are produced up to 8 meters long. In this case, the thickness of the sheets is from 0.2 to 0.4 cm. As a result, long metal sheets bend very strongly. This can complicate the transportation process, as the sheets may break on the way. Therefore, when ordering a metal tile, take into account the area of ​​the roof, roofing sheets, choose the most appropriate size. Also follow to take into account the qualifications of workers who will be engaged in laying the roof. Thus, with a roof area of ​​up to 150 m? it is recommended to purchase roofing sheets up to 2 m long. with a roof area of ​​up to 250 m? roofing sheets up to 4 m long are preferred, with a roof area of ​​​​more than 250 m? get sheets with a length of more than 6 m. Metal sheets with a length of more than 6 meters are difficult to lay, as they bend very strongly. For their installation, you need to hire experienced roofers.

When transporting long roofing sheets, the process of loading, transporting and storing the material should be controlled.

Since on complex roofs material consumption is high. It is preferable to purchase piece material. Piece material is soft roofing, for example, flexible bituminous tiles. Thus, waste is minimized due to the small size of the elements. But with a competent calculation and a responsible approach, the installation of the roof can be carried out in such a way that high costs can be avoided.

Please note that soft roofs require the organization of a continuous sheathing, as well as additional installation costs. At the same time, the prices for these types of coatings are much higher.

Thus, the calculation of a hipped roof allows you to timely calculate the upcoming costs for the purchase of roofing material, insulation and waterproofing.

How to calculate the area of ​​\u200b\u200ba hipped roof without the involvement of third-party specialists? What are the main parameters you need to know in order to calculate the roof of a hipped roof, gable? An example of the calculation is in our article.

This question arises before laying the roofing of the house.

The answer to it depends on the form and its complexity.

Before you start calculating the quadrature of the roof, you need to find out exactly what shape it has.

If it is complex with jagged edges, it is always possible to divide it into several simple shapes and calculate them (area).

What shape is the roof most often: rectangular, square, trapezoidal, triangular, parallelogram shape.

In addition, the more different shapes of slopes on the roof, the more difficult it is to calculate its area. But this fact should not stop.

The main advantage of any roof is that its area can be calculated by breaking it into simple shapes. Let's consider in more detail.

What are the roofs:

• Flat or flat. They have a minimum slope angle, no more than two or three percent of the horizon.
• pitched. They have an angle of ten percent or more (relative to the horizontal plane or horizon level).

The latter, in turn, are divided into single-slope and multi-slope (one-, two-, and so on). A fairly common option for building a roof is the so-called gable, that is, a gable ordinary roof.

It has two absolutely identical sides, having the shape of rectangles, in which one side is a long edge running parallel to a long wall, and the other is a segment located at an angle.

To calculate its area, you need to multiply the length by the width, and also by two, since there are two slopes. When carrying out calculations with more complex forms, you will have to divide them into simple ones, calculate each of them and add (sum).

To make it correct and accurate, you must first draw a layout of the roof elements with dimensions expressed in one system of units applied to this plan. If a plan has been preserved after construction, you can consult it or use it for calculations.

To determine how much roofing material is needed for hydro, noise, vapor barrier of a house, it is necessary to calculate the roof area. For simple single-pitched or double-pitched roofs, it is enough to know only two measurements, and for complex shapes, you will have to divide the plane into several simple geometric shapes.

Important points to consider before making calculations

• It is necessary to divide a non-rectangular into parts of a complex configuration to simplify further calculations. These parts can be triangles, squares, rectangles, and so on.
• To calculate the amount of building material that will cover the roof, it is important to take into account the quality of the coating.
• The area of ​​​​a pitched roof for the purchase of soft, galvanized, slate material can be calculated by the formula. S = (Width of eaves x 2 + Length of house) x (Width of eaves x 2 + Width of house) / cos (Angle of inclination).

If the width of one slope (the segment from the corner of the roof to the ridge) and its length are known for a gable roof, the simplest formula is used to determine the area of ​​\u200b\u200bthe rectangle. Namely: S = A x B. Here A is the length, B is the width. The resulting value is multiplied by two, since there are exactly two slopes.

When dividing a complex-shaped roof into several simpler figures and further carrying out calculations, the area of ​​\u200b\u200ba right-angled triangle may be useful: S \u003d 1/2 x A x B. Here the letters A and B indicate the legs, that is, those sides of this geometric figure that are adjacent to the straight corner of the triangle.

To calculate the area of ​​​​an isosceles trapezoid (if one of the roof slopes has a regular trapezoidal shape with sides of the same length), in addition to the width of the slope, you need to know the length of the base of the trapezoid (usually this is the length of the house or a little more) and its height h (perpendicularly drawn segment, connecting the top of the ridge and the base of the trapezoid slope): S = (a + b) / 2 x h.

When dividing the entire roof into different geometric shapes, it is necessary to arm yourself not only with a tape measure, but also with formulas for calculating the area of ​​a triangle, rectangle, trapezoid and parallelogram.

The procedure and rules for performing calculations

The first step that will allow you to calculate the area of ​​\u200b\u200bthe roof will be the preparation of tools and materials. Among them are: a detailed plan of the roof of the house (if necessary, in different projections) indicating all lengths to the nearest centimeter (or as accurately as possible), tape measure (if you need to double-check the measurements on the plan or add a few more), calculator, paper, pen .

It is necessary to decide in what way individual elements, the lengths of the roof or other parts of the house and the distances between them will be measured. This item is not needed if there is confidence in the accuracy of the numbers indicated in the plan.

Otherwise, it is necessary to take measurements with one of the following: while on the roof, standing on the ground, or from the attic. For a more accurate result, even such complex and non-formatted elements as a roof window, a ledge, a wide ridge, a change in the angle of inclination, and an asymmetric edge must be taken into account.

For a part of the roof with a slope of nine degrees, the smallest multiplier is applied - 1.1. The coefficient for a "steep" slope of 560 will be 1.8. Accordingly, on average, an increase of every ten degrees leads to an increase in this coefficient by 0.15.

That is, there is an increase of fifteen percent for each increase in the angle by ten degrees.

This follows from the following considerations: the difference between the maximum and minimum of the slope is 56-9=470. So in tens of degrees there will be a value of 4.7. The difference between the coefficient changes will be as follows: 1.8-1.1=0.7. Now, when dividing one value by another, we get the answer to the question posed above: 0.7 / 4.7 \u003d 0.15.

In order to find out the length of one of the slopes of a symmetrical gable roof, it is not necessary to climb up or into the attic. It is necessary to measure the width of the house, or rather the length of the lower base of that isosceles triangle that both slopes form, the so-called end, and find out the slope of the slope.

You can do this like this: Roof slope width = Roof width / 2 / cos (Angle of inclination), that is, you need to divide one second of the width of the house by the cosine of the angle of inclination.

For example, if we consider a roof with a slope of thirty degrees, the formula would look like this: the width of the roof slope from the ridge to the edge \u003d 5 m / 2 / cos (300) \u003d 5 / 2 / 0.866 \u003d 2.89 m. Now, multiplying this number by the length of the house (the length of the roof), the calculator will get each of the two parts of the roof.

So for a roof eight and a half meters long, the area will be 8.5 x 2.89 x 2 = 24.6 x 2 = 29.2 square meters.

At the end of the calculations, it is necessary to take into account a certain stock of material, if we are talking about calculating the amount of material needed for the roof of the roof. Usually add about ten percent, multiplying by 1.1. Thus, the final number will be 29.2 x 1.1 = 32.12 sq.m.

These manipulations are easy to do for an ordinary classic gable structure. Suppose each part of such a roof has the shape of a regular, even rectangle, and its area, as indicated above, is equal to the product of the lengths of its two adjacent sides (adjacent sides are those that touch each other at the ends, forming a right angle, as in the case for a rectangle ).

So, you need to multiply the length by the length of the rafter. Suppose the measurements of the building are as follows: eight and a half and six and a half meters (8.5 m and 6.5 m).

Rafter (rafter leg length) - four whole and two tenths of a m (4.2 m). You will also need the size of the cornice overhang and the front overhang (for this example, these values ​​\u200b\u200bare six tenths of a meter (0.6 m) each.

The area of ​​​​one (and each) slope will be equal to: the length of the house (DD = 8.5 m), plus the front overhang (FS = 0.6 m), plus the cornice overhang (KS = 0.6 m), multiply by the sum of the length of the rafter (DS = 4.2 m) and cornice overhang (RS = 0.6 m).

It turns out: Area \u003d (DD + FS + KS) x (DS + KS) \u003d (8.5 m + 0.6 m + 0.6 m) x (4.2 m + 0.6 m) \u003d 9.7 x 4.8 = 46.56 square meters. And for both roof slopes 46.56 x 2 = 93.12 sq. m.

For a pitched roof with a rafter leg length of 7.66 m (DS = 7.66 m), a length of eight point and two meters (DD = 8.2 m), overhangs of fifty-five hundredths of a meter (KS = 0 .55 m and FS = 0.55 m) the calculation will look like this.

Roof area \u003d (DD + FS + KS) x (DS + KS) \u003d (8.2 + 0.55 + 0.55) x (7.66 + 0.55) \u003d 9.3 x 8.21 \u003d 76 .35 square meters. Note that in this case this number, obtained by simple calculations, is not multiplied by two, since there is only one slope at the roof.

The next option is a little more difficult than the previous two. This is a hipped roof. It has in its design four isosceles triangles or two triangles and two trapezoids. In the first particular case, you need to calculate the area of ​​​​one slope and multiply by four (square house).

To carry out such calculations, it is worth knowing the height of the triangular part of the roof. This is a segment drawn from the top to the bottom right perpendicular. In the case of a triangle with equal sides, as in this example, this will cut the base (bottom side) in half.

So, if the length of the house (which is equal to its width, since it is a square) is equal to seven whole and two tenths of a meter, and the canopy will occupy four tenths of a meter, then the base of the calculated triangle is 7.2 + 0.4 = 7.6 m.

If its height is unknown and difficult to measure, you can find it using the Pythagorean theorem on a right triangle.

The fact is that this imaginary line divides each of the four sides of the roof into two figures that are equal in shape and area. These are right triangles. One of the legs is the indicated height, and the second is half of the lower segment, that is, 7.6 / 2 \u003d 3.8 m.

If the length of the rafter (the hypotenuse of a right triangle or the longest side) is 4.5 m, then the height is equal to the square root of the difference: (4.5 x 4.5) - (3.8 x 3.8) = 20.25 x 14.44 \u003d 292.41 (the sum of the squares of the legs is equal to the square of the hypotenuse).

The roof, along with the foundation and walls, is one of the main structural elements of the structure, protecting the interior of the building from precipitation, waterlogging, temperature extremes, wind loads and other influences. At the same time, the roofing system is the most bulky structure in the house, difficult to erect, since it consists of a huge number of individual components and connections. For most novice craftsmen, construction turns into continuous test, which has no end in sight - it is necessary to draw up a project, carry out many calculations, draw diagrams, make elements and, ultimately, assemble everything into a single structure.

The online construction calculator for calculating the roof from the KALC.PRO service allows you to facilitate the process of erecting a roof structure at the stage of preparatory work, providing a detailed report with the parameters of individual elements and quantity of lumber for their manufacture, providing detailed drawings truss system and battens, as well as visualizing the resulting structure in the form 3D models for later evaluation. In addition, our program takes into account all additional structural elements of the roof, including mauerlat, vapor barrier, insulation, counter-battens, OSB sheets. In the near future, it is planned to introduce accounting for wind and snow loads.

The 3D roof constructor is simple, convenient and does not require special skills to use - you will need to measure the dimensions of the building, select the type of roof (hard, soft) and indicate the characteristics of the materials used. If invalid values ​​are entered, the program will stop the calculation and indicate the cell where the error was made. Also on the tab of each calculator there is a detailed text instruction describing all the fields and symbols, which are duplicated in the corresponding images for clarity.

Save time and money using a professional roof calculation on the KALC.PRO website - we have been counting roofs for more than 5 years and have helped to implement over 1000 different projects!

Why are our tools better?

Close cooperation with roof manufacturers

Highest detail drawings and 3D models

Final report with a list of required materials

Ready estimate for the manufacture of the structure by the contractor

Technical support helps when working with the calculator

Positive feedback and a large number of completed projects

You can calculate the roof on any site and this is a fact, but you must be aware that, unlike other resources, our project has a long history, positive reviews, operational technical support and regularly updates the algorithms of work, eliminating the occurrence of errors. Feedback from users is established and works flawlessly, any visitor can ask a question, and KALC.PRO will try to answer it.

In addition, we would like to highlight the following:

• Constructor functionality. Our tools provide ample opportunities for designing a structure - you can set the characteristics of any element, and in case of entering invalid values, the program stop calculation and will indicate in which field the error was made.
• Cooperation with professionals. Service KALC.PRO actively cooperates with manufacturers and designers of roofing systems, so only with us you can find such detailed study separate nodal connections.
• Ready estimate. Upon completion of the calculation, the user receives not only a standard report with the parameters of structural elements and a set of drawings, but also detailed estimate with the amount of materials needed for manufacturing.
• Graphics. The main advantage of our service is high-quality detailed graphics, which is as close as possible to the standards of technical documentation. We also provide free interactive 3D model , with which you can evaluate the advantages / disadvantages of the chosen design.
• . If you are having difficulty using the calculator or have questions regarding the resulting calculation, we will look into the situation and we will try to answer for any constructive questions 24/7.
• Personal Area. Also on our website there is a convenient personal account in which the results of the calculation of the roof or any other structure are saved - you never lose your project, and you can also download the download at any time, regardless of the time of the operation.

In the comments to each calculator and on the "Reviews" page, you can read the messages of real people who use our tools. Check for yourself what users write about us.

Constructor features

The KALC.PRO service is a universal assistant for beginners and professional craftsmen, with which you can make a really reliable and safe design. However, it must be understood that the program performs roof calculations based on the entered data and does not take into account their correctness, except in exceptional cases when the structure is guaranteed to be unstable. When building a roof (especially for the first time), we recommend paying attention to the following regulatory documents: SNiP 2.01.07-85 (SP 20.13330.2010) "Loads and Impacts", SNiP II-26-76 (SP 17.13330.2017) " Roofs”, TSN 31-308-97 “Roofs. Technical requirements and acceptance rules. Moscow region”, SP 31-101-97 “Design and construction of roofs”.

At present, we provide the calculation of the following roof structures:

• the roof is shed;
• gable roof (two-slope, gable);
• four-slope roof (hip);
• hipped roof (hipped).

Among the main features of the constructor, it is necessary to highlight (- only on KALC.PRO):

Our professional roofing calculators are used by many professionals - if you want to use them commercially, you can remove our watermark and upload your logo.

The result of the calculation of the roof

After entering all the initial parameters, you will receive a comprehensive report that contains a ready-made estimate for the manufacture of the structure with a detailed calculation of lumber and roofing, a set of drawings of all roof elements in various projections and an adaptive 3D model. Also, the roof area will be automatically calculated and an indicator of the angle of inclination of the slope, rafters will be available. Unlike other services, we disclose each element of the structure in detail and do not generalize the parameters so that you can use our results as a guide. guides to action.

Roof drawings with dimensions

Drawings are an integral element of the design documentation of any structure, since they represent a kind of "working card" for installation work. Many professionals prefer to make a roof plan with their own hands in specialized programs such as AutoCAD, ArchiCAD, etc., however, for a novice master, independent development without proper work experience usually ends without even starting, or ends very badly. It must be remembered that any accidental mistake can lead to unforeseen expenses and disruption of the structure of the entire structure.

Using the KALC.PRO online roof calculator, you eliminate errors in the calculations, since the graphics are based on the actually entered parameters, the correctness of which can be double-checked on an interactive 3D model. Depending on the roof structure, we provide a different number of drawings - complex systems are described in more detail. For example, when calculating a bulky hip roof, the kit contains 12 design drawings with a detailed description of the truss system (in different projections), its elements, lathing, saw cuts and laying of roofing materials.

When creating the roof calculator, we made every possible effort to ensure that the subsequent assembly of the structure and the layout of individual elements, in particular, was as fast and comfortable as possible.

3D model

Architectural visualization allows you to visually evaluate the planned structure in real proportions, make sure that the project is completed with high quality and without errors. However, spatial modeling is a painstaking and technically complex process that cannot be performed without special skills, and for professional designers, such services cost quite a lot of money.

However, when you perform a roof calculation on our site, you get a FREE, responsive, dimensionally accurate 3D model that you can interact with and download in OBJ format to later load into your editing software.

How to calculate the roof on the online calculator?

To calculate the roof on the online calculator, you must correctly fill in all the available fields and click the "Calculate" button. We recommend taking measurements as accurately as possible and rechecking the entered values ​​​​several times in order to avoid problems when assembling the structure in the future, since a large number of elements may have to be re-manufactured.

Recall that our calculators have built-in functionality in order to perform:

• calculation of the truss system;
• lumber calculation;
• calculation of metal tiles;
• calculation of the roof area;
• calculation of the angle of inclination of the roof.

You do not need to look for other tools on the Internet or bother with manual calculations.

Detailed step-by-step text instructions with graphic annotations for each tool are provided on the tabs of the corresponding calculator in the Help section. We also suggest watching a short overview video of the gable design calculation, which demonstrates the main features of the roof calculator.

• The area of ​​any classical roof can be calculated using the formulas for the area of ​​a rectangle, triangle, parallelogram, trapezoid: S = a×b, S = (a×h)/2, S = a×h, S = (a+b) × h/ 2, where a, b are the lengths of the sides, h is the height.
• The optimal roof slope for a full-fledged attic is 45 °.
• The angle of inclination of the roof directly depends on the climatic conditions of the region: in snowy areas there should be steep roofs, in windy areas - gently sloping.
• The angle of inclination of the roof depends on the roofing material: a rigid roof requires a steeper slope.
• The angle of inclination of the roof affects the final cost of the structure: a steep roof is more expensive than a flat one.
• The height of the roof is derived from the formula for the height of an isosceles triangle: H \u003d a × sin α, where H is the height directed to the base, a is the side (the length of the rafter leg along the slope), α is the angle at the base (applicable for gable roofs).
• The optimal value of the cornice overhang of the roof is in the range of 50-100 cm, but not less than the width of the blind area.
• The optimal value of the gable overhang of the roof should be in the range of 40-60 cm.
• The calculation of the roof must be made based on a load of at least 200 kg / m 2.
• It is recommended to equip the roof with through ventilation holes from the cornice overhang to the very ridge.
• All fixing materials (especially external) must be galvanized or made of stainless steel.
• All wood must be treated with flame retardants, antiseptics and antifungal agents.
• The wood moisture index for all structural elements should not exceed 18-22%.
• It is recommended to use wood of at least class 2, and for load-bearing elements - only class 1.
• The ideal roofing pie is in order from the inside out: vapor barrier, insulation, waterproofing (membrane), counter-lattice, crate, tile (or other material).

Mauerlat

• The optimal size of a bar for a Mauerlat is 150x150 mm, sometimes it is used - 50x150 mm.
• It is recommended to fasten the Mauerlat to the armored belt using studs. However, the beam must be insulated so that it does not come into direct contact with the concrete.
• The pitch of the studs for fastening the Mauerlat should not exceed 150 cm.

rafters

• The depth of the cut should not exceed 1/3 of the width of the board (optimally 1/4).
• The recommended board width and thickness for most designs is 150-180mm and 50-60mm, respectively. The cross section of the board is selected depending on the frequency of the pitch of the rafters and the potential load on the roof.
• The distance between the rafters should not be less than 60 cm and more than 120 cm.
• All connections are recommended to be fixed in two different ways.
• To increase the reliability of the bolted connection, it is recommended to use metal plates and corners.
• With a span width of more than 10 m, the mandatory installation of additional supporting structures (rails, struts, racks) is required.

crate

• The recommended board for the lathing is 25x100 mm, in case of heavy roofs - 40x150 mm.
• For hard roofing materials, it is recommended to install a dense sparse crate, for soft ones - with a wider pitch, since OSB sheets will be installed on top.
• The step of the crate is selected for each material individually and is specified by the manufacturer. On average, for a soft roof - 1-10 cm, ceramic tiles - 30-35 cm, metal tiles - 30-40 cm, corrugated board - 30-65 cm.

Insulation and warming

• It is recommended to buy roll insulation, since the slab is difficult to fix (especially alone) and it crumbles more.
• The recommended thickness of thermal insulation is 15 cm, the minimum is 10 cm.
• It is recommended to lay the vapor barrier with an overlap (10-20 cm) followed by gluing the joints.
• Waterproofing is best laid in two layers.
• Permissible deflection of waterproofing is not more than 15 mm.

The online roof calculation calculator from KALC.PRO is the most effective way to obtain project documentation for the manufacture of a reliable roof truss system and other structures.

Before starting the calculations, you need to understand that the roof and the roof are not identical concepts. By “roof”, we mean the entire system that stands on the Mauerlat: rafters, lathing and counter-lattice, all kinds of insulation and, finally, roofing material, that is, the “roof” itself. The online roof calculator with drawings allows you to get data for both the roof and the roof - in a format convenient for you.

The finished calculation of the truss system and metal tiles on the roof (as well as other types of roofing) can be saved both in the form of simple numbers by the number of building materials, and in the form of drawings and 3D models. You can save the result on the PC or mobile device from which you entered the data, as well as send it by e-mail to yourself or to the specialist who designed your facility. By the way, before purchasing, it is recommended to consult with him or with a professional estimator: the online calculator for calculating the roof with roof drawings is designed for standard initial data - your object may have features that the service does not take into account.

Using the service, you can make calculations:

• single-pitched, gable, four-pitched, including hip roofs;
• any of the listed types of roofs, taking into account the attic;
• any of the listed types of roofs, given the different angle of inclination;
• roof area.

All data is entered in centimeters - for example, the length of the roof along the ridge, which will be 12 meters, must be indicated as 12,000 centimeters; The service also gives results in centimeters.

If necessary, checkboxes can be ticked under the main data to take into account additional materials: mauerlat, counter-battens, waterproofing and insulation. The service takes into account the most used types and brands of materials.