A classic roof with its two slopes and end gables rarely suits a modern developer. More and more often country cottages decorated with a hip roof - spectacular, but more difficult to manufacture.

In our article we will deal in detail with this important issue how to calculate rafter system hip roof. The data obtained will help to optimally use building materials and will significantly simplify the installation process itself.

What is a hip roof

The hip structure is complex hipped roof shaped like a trapezoid. There are slopes (hips) at the end of the roof; outwardly their shape resembles a triangle. In total, the roof has 4 slopes - 2 side and 2 end, and 4 ribs (they are also called diagonal rafters).

The roof truss structure is based on complex frame. The central rafters, due to the nature of their design, create extra load. In addition, the rafters must withstand snow and wind loads(in areas with frequent snowfalls this is doubly true).

During installation, the structure is labor-intensive, but outwardly it looks more advantageous than a conventional gable roof. To finish this type of roof, you can use any roofing material. When choosing a coating, it is important to consider the features climate zone where construction will take place.

About the calculator

To calculate a hip roof, you can use several methods: manually or using special construction programs (calculators). For manual calculation you will need good knowledge in algebra and geometry. The formula for calculating a hip roof consists of the sum of the areas of 2 triangles (hips) and 2 trapezoidal side slopes. Square hip rays is calculated using the well-known isosceles triangle formula. The area of ​​a trapezoid is more complex and is subtracted using the formula presented in the figure below.

The calculator database contains information about the most popular types of roofing materials - metal, ceramic, cement-sand, bitumen shingles and other coatings. To get the result, the user must note the required roofing material, the dimensions of the roof base, the length of the overhangs, the planned pitch of the rafters, the type and parameters of the wood for the sheathing and mark the region of construction. Next, the system will provide a complete calculation of the hip roof of the house according to the selected parameters.

Important: the calculator will prepare a report taking into account data from the meteorological service of the development area, which will be taken into account average speed and wind strength, precipitation intensity.

Calculation results - explanations

The online calculator report includes the following items:

Roof. The calculator, according to the specified conditions, will recommend the angle of inclination of the side and hip rafters. This value directly depends on the selected development area. The calculator will also determine the approximate weight roofing material And required quantity roofing felt (indicated in rolls);

Rafters. The length of the side, diagonal and hip rafters will be given.

Important: the size of the side rafters is calculated taking into account the overhang!

The required number of side and hip rafters required for the entire roof.

Important: this value does not include diagonal rafters (+4 pcs.)

Lathing. The Hip Roof Calculator will determine how many rows of sheathing are needed for a given roof area and will also determine the number of sheathing boards (each 6m long).

Important: the program takes everything into account important points: length and width of the roof, size gable overhangs and roofing eaves on all sides and the angle of inclination of the hips.

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Hip roofs belong to the category complex structures. Like anyone architectural element, they have their strengths and weaknesses. In some regions of our country, such species are traditionally given preference; they are the most common.

It is impossible to make a correct calculation without understanding the subject itself. Each element plays very important role, any mistakes are extremely negative impact on general indicators strength and stability of the system. Even small miscalculations can cause emergency situations. What parts does a hip roof consist of?

Table. Components of a hip roof

Roof element	Brief description and purpose
	The longest and most loaded elements of the rafter system. They are installed at the corners of the slopes, and the spouts rest on them. As a rule, they are made of paired rafters, due to this the load-bearing capacity is increased.
	No different from rafter legs ordinary pitched roofs, most often these are boards 50x150 mm.
	The hips are formed, the top rests on the slanted rafters, the heel is on the mauerlat. In order to reduce the load on the diagonal rafters, additional supports are installed. Depending on the specific features of the roof, the roofers can rest on a truss, corner struts, etc.

When choosing a hip roof, you need to know about its advantages and disadvantages.

Design advantages:

• during construction there is no need to take into account the direction of the prevailing winds, the roof has completely identical windage parameters on all sides;
• The roof is rigid and can withstand significant snow and wind loads. The use of special elements makes it possible to cover houses with a large area;
• has no pediments, which somewhat facilitates and reduces the volume of masonry work.

Flaws:

• requires a lot of lumber, this increases the estimated cost of the structure;
• technological complexity. The process of erecting a hip roof has many individual nuances; such work can only be performed by very qualified builders;
• a large amount of unproductive waste of roofing materials. This is especially true metal roofs– pieces cut off at angles have to be thrown away.

General algorithm for the functioning of the calculator

There are many different calculators on the Internet, but they all work in the same way and use the same formulas. None of them can change the mathematical principles of calculations; the program includes generally accepted norms and formulas. At the output, users receive the parameters and number of rafters, including those located diagonally. Calculate the length of the ridge and the volume of lumber for. If desired, you can calculate the number of roofing materials depending on their type, the footage of waterproofing materials, etc. The user must enter the initial data one by one, and the recommended dimensions should be used.

What formulas does the calculator use? Let's list just a few of them.

The complex design of a hip roof requires accurate calculations during its design process. Correct calculations will ensure reliability, durability and long service life roofing structure. You can quickly and competently calculate a hip roof using a calculator. Such an online program will help you reliably draw up a complete roofing diagram, taking into account all the necessary parameters.

The hip roof is hipped design. Its sides are made in the shape of a trapezoid, and the end slopes have a triangular structure. All parts of the device are located at the same angle to the base.

To carry out correct design calculations hip roof All its main components should be taken into account:

1. The top is a ridge. The device is a beam that is fixed at the highest point of the horizontal plane of the roof. It is slightly smaller than the total length of the building and serves to connect the elements of the rafter system.
2. Central rafters. Such load-bearing elements of the roof structure are placed along the height and length of the slopes, as well as the ridge.
3. Corner rafters. Such bars are located at an angle. Their installation starts from the ridge and ends at the edge of the building.
4. Hips. Such inclined elements are connected on one side to the ridge, and on the other to the corner rafters.
5. Mauerlat. This element allows you to connect the rafter system to the walls of the building. This connection is carried out along the entire perimeter of the building.
6. Overhangs. Typically, this protective structure is an elongated part of the rafter legs. Hip roofs are characterized by eaves overhangs, which allow you to protect the walls of the house from moisture.
7. Lathing. Such a device is necessary to secure the roofing material, as well as the waterproofing layer and insulation. The lathing can be sparse or continuous. Its type depends on the type of roofing.

At online payments roof covering is taken into account. The material can be in the form of rolls, individual modules or sheets.

Hip roofs do not have gables. Their main advantage is the rigidity of the entire structure and good streamlining of the coating. But to design this type reliable roof quite difficult without large quantity waste material. Therefore, the best assistant when drawing up a roof construction plan is a calculator, which, when entering all the data, will provide reliable calculations of the hip roof with a drawing.

Online calculator

To perform the calculation using the provided calculator, you only need to reliably enter the parameters of the hip roof. Online program quickly and accurately calculate the number of all necessary elements rafter system, their length, as well as the dimensions of the ridge.

The main determining indicators for calculating a hip roof are: the width and length of the building, its height and roof slope. The dimensions of the overhang are also taken into account. When choosing the width of the rafters, the loads are taken into account facing material roofs, as well as pressure air flow wind and snow masses.

Lathing

The correct choice of sheathing material affects the strength properties of the hip roof. The best option For a roof of this type, a board 3 centimeters thick and 10 centimeters wide is considered. The parameters may vary upward depending on the characteristics of the materials used to cover the structure.

The pitch of the sheathing is carried out in the range from 20 to 70 centimeters. For metal tiles, a distance between boards of 35 centimeters is maintained; slate requires a greater distance - from 50 to 70 centimeters. The length of the lumber is 6 meters.

When laying soft roof used continuous lathing. Its construction consists of plywood or OSB sheets. The material is laid in this design with a gap of no more than one centimeter.

More reliable lathing parameters can be clarified with the manufacturers of the material selected for roofing. Using a calculator to calculate a hip roof, you can determine the required volume of wood for the entire rafter system.

Warm roofing material

An insulated roof is a fairly simple way to keep your home warm. This type of roofing structure allows you to use the attic as a living space. Used for laying the cake various materials in this order:

• vapor barrier coating – metallized three-layer film;
• insulation – mineral wool made of basalt fiber with a thickness of at least 10 centimeters;
• waterproofing – a film material that protects the insulation from moisture;
• counter-lattice - a structure at least 3 centimeters thick made of wooden blocks, providing a ventilation gap.

If used as thermal insulation polystyrene foam boards, then the installation of a water vapor barrier need not be carried out. Waterproofing material and the insulation is laid on the roof only in a continuous layer. All joints must be sealed with special tape.

The program will allow you to easily obtain all the necessary design parameters for this type of roof. You do not need deep knowledge of how to calculate a hip roof; the algorithm developed by our designers will do this for you. It takes into account all the nuances that may arise during the design and construction of a roof.

The hip roof calculation calculator will allow you to competently plan the process of purchasing and consuming building materials, and resolve all issues related to the reliability of the rafter system and the roof structure as a whole.

Specifics of the program

In our online calculator a calculation is provided for the rafter system of a hip roof, which has equal angles between the base of the roof and the side and end slopes. It is proposed to fill certain fields with initial sizes:

• Linear characteristics of the house - length, width, walls;
• Roof parameters - width and length of the base, desired height, length of overhangs;
• Data for calculating hip roof rafters and sheathing - width, thickness, and pitch;
• OSB sheet parameters - only for soft type of roofing;
• Roofing sheets and information on vapor barriers - overlap size, etc.

Explanations of hip roof calculation results

1. Calculation of the hip roof truss system with a detailed drawing of the entire structure in general (with symbols) and final data:

• Dimensions of all hip roof rafters individually (sloping, diagonal, etc.);
• Calculation of lathing and counter-lattice;
• Calculation of the Mauerlat with a detailed final drawing;
• Calculation of the hip roof area.

The total volume of wood for rafters and sheathing (volume of lumber);

Drawings of all types of rafter legs separately;

Layout of rafters on future roof with a mark for each type;

Drawings of the finished roof truss system from different sides;

Of course, an interactive 3D model of a hip roof for clarity.

The lengths of side and hip rafters in the results and drawings are indicated taking into account overhangs.

Now you don’t need to think about how to calculate the area of ​​a hip roof to purchase the necessary building materials; all the necessary information is available on our website calculator. Bookmark it and share it with friends to useful tool was always at hand.

Calculating a hip roof online will save time and money on purchasing the necessary building materials, and get a detailed list of the sizes of the main components and elements for arranging the roof of your home.

Using a calculator for calculating a hip roof, you can determine the angle of inclination, the amount of sheathing and calculate the rafter system. You will also be given detailed information about the required volume building materials. Perform an online calculation of the hip roof of a house.

Specify roofing material:

Select a material from the list -- Slate (corrugated asbestos cement sheets): Medium profile (11 kg/m2) Slate (corrugated asbestos cement sheets): Reinforced profile (13 kg/m2) Corrugated cellulose-bitumen sheets (6 kg/m2) Bitumen (soft , flexible) tiles (15 kg/m2) Galvanized sheet (6.5 kg/m2) Sheet steel (8 kg/m2) Ceramic tiles(50 kg/m2) Cement-sand tiles (70 kg/m2) Metal tiles, corrugated sheets (5 kg/m2) Keramoplast (5.5 kg/m2) Seam roofing (6 kg/m2) Polymer-sand tiles (25 kg/m2) m2) Ondulin (Euro slate) (4 kg/m2) Composite tiles(7 kg/m2) Natural slate (40 kg/m2) Specify the weight of 1 square meter of coating (? kg/m2)

kg/m2

Enter roof parameters:

Base width A (cm)

Base Length B (cm)

Roof angle α (deg)

Length of side overhangs C (cm)

Length of end overhangs D (cm)

Rafters:

Rafter pitch (cm)

Type of wood for rafters (cm)

Lathing calculation:

Sheathing board width (cm)

Sheathing board thickness (cm)

Distance between sheathing boards
(cm)

Snow load calculation:

Select your region using the map below

1 (80/56 kg/m2) 2 (120/84 kg/m2) 3 (180/126 kg/m2) 4 (240/168 kg/m2) 5 (320/224 kg/m2) 6 ​​(400/280 kg/m2) 7 (480/336 kg/m2) 8 (560/392 kg/m2)

Wind load calculation:

Ia I II III IV V VI VII

Height to the ridge of the building

5 m from 5 m to 10 m from 10 m

Terrain type

Open area Closed area Urban areas

Calculation results

The tilt angle is suitable for of this material.

It is advisable to increase the angle of inclination for this material!

It is advisable to reduce the angle of inclination for this material!

Lifting height: 0 cm

Ridge beam length: 0 cm

Roof surface area: 0 m.

Approximate weight of roofing material: 0 kg.

Number of rolls insulating material with 10% overlap (1×15 m): 0 rolls.

Rafters:

Load on the rafter system: 0 kg/m2.

Side rafter length: 0 cm

Length of diagonal rafters: 0 cm

Number of hip rafters: 0 pcs.

Reduce the pitch of the rafters!

Number of side rafters: 0 pcs.

Lathing:

Number of rows of sheathing (for the entire roof): 0 rows.

Uniform distance between sheathing boards: 0 cm

Number of sheathing boards with a standard length of 6 meters: 0 pcs.

Volume of sheathing boards: 0 m3.

Approximate weight of sheathing boards: 0 kg.

About the calculator

An online calculator for a hip roof will help you calculate its parameters: volume of roofing and insulating materials, sheathing, strength of the rafter system, correct angle of inclination roof slopes. The calculator database contains information about most roofing materials. These are metal tiles, bitumen, ceramic and cement-sand tiles, bitumen and asbestos-cement slate, ondulin and other materials. Therefore, by using this calculator you can more accurately calculate the structure and decide on future construction. This calculator considers classic version hip roof with equal slopes and equal angles slopes in relation to the base of the roof.

Before constructing a hip roof, familiarize yourself with regulatory documents, such as SNiP 2.08.01-89 “RESIDENTIAL BUILDINGS”.

A hip roof is a unique version of a gable roof, but in profile it has the shape of a trapezoid. At the ends of the hip roof there are slopes shaped like triangles (the so-called hips). The roof has a total of 4 slopes (two side and two end) and 4 ribs (so-called diagonal rafters).

This design, although more complex than usual gable roofs, but has its advantages, and the hip roof looks great.

There are also half-hip roofs, in which the hip slopes are shorter and do not reach the eaves.

To finish a hip roof, you can use all kinds of roofing materials. When choosing them, you should take into account the climate of your region and pay attention to the performance characteristics of the materials.

When filling out the fields of the calculator, you can find out additional information, located under the sign.

If you have any questions or suggestions for this calculator, you can write to us using the comment form at the bottom of the page. We'd love to hear your opinion.

Additional information about the calculation results

Roof angle

Here you will see a message indicating whether the specified roof angle complies with roofing material standards. If the angle does not match, you will be advised to change it.

Lifting height

The height of the roof from its base to the ridge (overhangs are not taken into account).

Ridge beam length

The ridge beam will have a given length between the hips.

Roof surface area

The area of ​​the entire surface, including existing overhangs. This parameter will help you calculate necessary materials for construction.

Approximate weight of roofing material

The total mass of the selected roofing material required for a roof of a given size.

Number of rolls of insulating material

The required amount of insulating material. The quantity indicated is in rolls, based on the standard - 15 meters long, 1 meter wide. The calculation also took into account an overlap of 10%.

Load on the rafter system

The maximum weight exerted on the rafter system. The wind and snow loads of the selected region, the angle of the roof, as well as the weight of the entire structure are taken into account.

Side rafter length

Estimated length of rafters taking into account overhangs.

Length of diagonal (sloping) rafters

The length of each of the four diagonal rafters (ribs).

Number of side and hip rafters

The total number of rafters for the side and hip slopes, not counting the four diagonal rafters.

Minimum section of rafters / Weight of rafters / Volume of beams

1. The first column shows the cross-sections of the rafters according to GOST 24454-80 Lumber coniferous species . Here are the sections that can be used when building a hip roof with given parameters. The starting point for calculations is the total load on the structure. After which the corresponding section of the rafters is determined, presented in this table.
2. The second column indicates the total weight of the rafters, which would be obtained if they were used to construct the entire roof.
3. The third column indicates the total volume of rafters in cubic meters. This indicator may be useful to you when calculating the cost.

Number of rows of sheathing

The number of rows of sheathing that will be needed for the entire roof with the given parameters. Be sure to check the required number of rows of sheathing for the selected roofing material; you can do this from roofing material sellers.

Uniform distance between sheathing boards

To evenly space the sheathing, use the step shown here. It will provide the necessary strength to the roof and save material.

Volume of sheathing boards

Volume of boards per sheathing (for the entire roof). This value will help you when calculating the cost of lumber.