How To Calculate A Pediment? Calculation Of The Area Of the Triangle Of The Pediment. How To Calculate The Height Of The Roof Gable? How To Calculate The Amount Of Material?

2024 Author: Beatrice Philips | [email protected]. Last modified: 2023-12-16 05:33

The roof is of great practical importance, since this element of the building is designed to protect the house from the effects of precipitation, gusty winds, sunlight and accumulation of snow. The most important aspect in the construction of a house is the correct calculation of the height of the gable roof. Technical characteristics, aesthetic component and architectural features of the future coating depend on this parameter.

Height calculation

For self-calculations, it is recommended to use special mathematical formulas. The development of a house plan requires the manufacture of a drawing, for which you need to measure the values / u200b / u200bof the values.

The proportion of the roof structure is primarily determined by its ridge, which is a horizontal edge, which is formed at the junction of the tops of the inclined planes . An incorrectly calculated ridge height can lead to problems in the operation of the structure and a violation of the architectural parameters. It is important to strictly follow the technical regulations in order to avoid future leaks in the roof and its premature wear.

A gable roof is most often made in the form of an equilateral triangle, but there are houses with asymmetric gable roofs, which have different areas of the slopes. But at the same time, the angle of inclination of both parts of the structure is equal.

The presence of an attic also affects the height of the ridge . Distinguish between attic and non-attic residential buildings. You can calculate this value for reasons of safety of movement in the operated attic. The height of the roofs of a non-residential attic is considered from the floor to the top of the roof at the junction of the slopes.

If the attic is planned to be used as a living space, its height is calculated with a margin of 30-40 m from the height of the tallest tenant. When using the attic as a warehouse, the aisle should be between 60 cm in height and 120 m in width. For example, for arranging a mansard roof, a height of more than 2.5 m is required.

The angle of inclination of the planes is determined by a value that is in direct proportion to the type of roofing, climate and other factors . So, in the presence of heavy snowfall, the optimal value is the slope angle of at least 45 ° C, which prevents the retention of massive precipitation on the surface, so as not to create an additional load on the supporting structure of the roof. In the presence of a strong wind, it is preferable to build a slope with a gentle slope of no more than 20 ° C.

For small-sized roofing elements, a high roof is more suitable . It is worth noting that the value of the optimal angle of inclination is indicated on the packaging of the roofing material. It should also be borne in mind that an increase in the angle of inclination entails an increase in the load on the supporting structure, increasing the cost of purchasing material for roofing, rafters and frame elements.

You can use online math calculators to calculate roof heights. You will also have to remember the school lessons of trigonometry. You can imagine that the roof consists of two right-angled triangles attached to each other. The slope plays the role of the hypotenuse, the height of the roof is the first leg (a), the width of the house, divided in half, is the second leg (b). It turns out the formula: a = b * tga . Thus, the height of the ridge can be calculated.

How do I calculate the area?

The subsequent comfort of living in a dwelling depends on the quality of the work on the roofing. To correctly calculate the roof area, you need to take into account the type and shape of the roofing material, as well as the design features of the dwelling. Accurate calculations make it possible to make the roof structure reliable and durable, to determine the amount of cash investments.

For this, various materials can be used, for example, slate, corrugated board or metal, as well as additional components. It is customary to lay the roofing sheets with an overlap. Therefore, on each side of the roof, it will take about 10-15% for a longitudinal overlap.

You can calculate the roof area by making the necessary measurements. In this case, the following factors should be taken into account:

• area in terms of the angle of inclination and the geometric structure of the roof;
• the presence of hatches and other elements on the roof that will not be covered with roofing;
• the selected thermal insulation, the type of insulation and cladding.

Determining the roof area involves calculating the height, slope and volume of building materials. By correctly calculating the quadrature, you can save on buying a roof and transporting materials. However, roofing materials should be purchased with a small margin in order to avoid their shortage during installation or if errors in installation are made. With a complex roof configuration with several slopes, you will have to calculate the parameters of the geometric shapes.

The area is calculated using the formula, depending on the shape of the slope:

• trapezoidal: (A + B) * H / 2;
• rectangular: A * B;
• parallelogram: A * H;
• equilateral triangle: (A * H) / 2.

Where A is the width of the roof, B is the length of the roof, H is the height of the triangle.

For simplicity of calculations, it is recommended to divide complex geometric shapes into simple elements, and then find the total area of the obtained values in square meters.

To measure the area of the pediment triangle, you need to measure the length of the end wall and divide it in half . The resulting value is multiplied by the tg of the angle formed between the slope and the base of the roof.

The triangular slope is the most common geometric configuration for households . The broken roof type has a more complex structure. Its construction is hampered by the construction of the rafter system and the required calculations.

It is necessary to calculate the amount of roofing material, based on its dimensions and dimensions of the coating, and also take into account the bearing capacity of the rafters and the weight of the loading elements on the roof.

Determination of the amount of material

Builders and home owners who have planned to build a house or carry out a major overhaul of a dwelling may be interested in this parameter. To calculate the number of roofing sheets and accessories, you can turn to the services of professionals or do your own calculations.

First you need to consider the strength of the supporting structure. This characteristic is influenced by natural factors, namely wind and snow load. Other influencing factors include:

• home ownership area - affects the initial amount of building materials;
• the number of slopes - the rafter system becomes more complicated with an increase in the number of slopes;
• the value of the angle of inclination - the wider the angle, the more roofing materials;
• the presence of a chimney, ventilation pipes and dormers;
• the amount of Mauerlat (strapping bar).

For example, when using shingles, it is necessary to divide the area of the slopes by the coverage area, which is contained in one pack. When purchasing tiles, the required number of packs is determined by the length of the ridge and downstream cornices.

The stock should contain 3-5% of roofing materials . Waterproofing film in rolls should also be purchased with a 13% overlap margin. The number of bunches is calculated according to the formula: 4 pieces per slab at an angle of less than 45 ° C, 6 pieces at an angle of more than 45 ° C.

The gable and cornice planks are 2 m high as standard. 10 cm should be left on the overlap. You need to find out the length of overhangs and abutments, the principles of installing profiled sheets on castle floors in order to effectively calculate the number of additional elements and fasteners. To completely seal the roof, self-tapping screws are best used, inserted into the fastening holes.

Before carrying out roofing work with the help of corrugated board, the overall and useful width of the sheets, the height and thickness of the material should be measured . To cover the roof with metal tiles, you will also need to consider the height of the step and the waves.