What is the building angle formula? In short, this formula refers to the calculation procedure for angling a building. It’s because building construction should be made with corners in such a way.
Then, why should buildings be made at angles, and how do you calculate it so that the construction is efficient? Let's take a look at the discussion about the benefits of knowing the building angle formula and how to calculate the angle below!
Why Should Buildings Be at Right Angles?
So, why should buildings be made at angles? Constructing buildings with angles is not entirely related to aesthetics, but there is a specific purpose. The purposes of making building angles are as follows:
- Helping to minimize the impact of earthquakes because the forces can be evenly distributed throughout the building.
- The building becomes more stable and robust because it has additional support points in its structure.
- Making the room layout plan inside the house more efficient.
However, not everything is always perfect. Therefore, calculations with the building angle formula are expected to reduce the risk of errors.
Nonetheless, if there are still calculation errors, you can use the following techniques to make the house look square:
- Use small floor tiles to draw the viewer's focus to the joints between the tiles.
- Use mosaic or random tiles to distract the view from the asymmetry of the corners.
- Create a diagonal tile pattern, such as wood herringbone parquet, because perpendicular ones can be distracting.
- Utilize custom cabinets that appear flat from the front to accommodate the room's slope at the back.
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Building Angle Formula
After understanding its benefits, you can use the building angle formula to calculate the construction needs.
The building angle formula uses the Pythagorean theorem. The theorem may sound familiar because you have been taught about it in a math class at school.
It is known that the building angle formula, derived from the Pythagorean theorem, illustrates the relationship between the sides of a triangle with a 90-degree angle. In this triangle, two straight sides form a 90-degree angle, and one other side that is slanted in front of the angle.
To make it easier to digest, let's first look at the building angle formula with the Pythagorean theorem.
C² = A² + B²
Explanation:
C = Hypotenuse
A & B = Straight lines forming a 90-degree angle
Based on that building angle formula, the sum of the squares of the two sides forming the angle is equal to the square of the hypotenuse. Therefore, the hypotenuse has the longest length among the three sides.
To understand how to use it, refer to the example of applying the building angle formula with the Pythagorean theorem below.
For example, there is information on the side lengths of the corners of the building as follows:
A = 1.2 m
B = 1.6 m
Thus, the length of the hypotenuse required to form a 90-degree angle is as follows:
= √(1.2² + 1.6²) = √(1.44 + 2.56) = √4 = 2 m
Therefore, the required length of the hypotenuse is 2 m.
As a note, the building angle formula using this theorem actually follows a ratio pattern known as the Pythagorean triple.
Simply put, this pattern is composed of multiples of 3:4:5. For example, the sides can measure 6:8:10, 9:12:15, 12:16:20, and so on, to create an angle.
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How to Angle a Building
After understanding the building angle formula, you need to know how to angle its foundation. Usually, this is done by a surveyor whose job is to determine the location and position of the foundation, including angling the building.
In addition to using the building angle formula, a surveyor usually has their own method of angling the foundation. Here are three of the most commonly applied methods for angling a building:
1. How to Angle a Building with a Tape Measure
First, there is a method for manually angling a building using a tape measure. It is known that this is the most commonly used method by surveyors.
However, using a tape measure can only be used for constructing small to medium buildings, such as 2 to 3-story houses. The steps to angle a building with a tape measure are as follows:
- First, prepare a tape measure and a marker or other tool to mark each corner of the room.
- Then, make a point at the spot that will serve as the corner and mark it.
- Next, draw a line according to the length of the side perpendicular to the ground or foundation.
- After that, measure the line from the corner to the right according to the required length and mark it.
- Then, connect the marks to check whether the length and angles match the triple Pythagorean pattern.
- Once confirmed and possibly adjusted, you will now have the correct angle for the building needed.
As a note, you can use a set square to ensure the angles of the building are 90 degrees. Simply, place the ruler at the corner to check if the room is already angled.
2. How to Angle a Building with a String
Next, there is a method for angling a building using a string, which also utilizes the Pythagorean theorem. To use this easily obtainable tool, you can follow these instructions:
- First, mark the desired corner with a tack and tie the string to it.
- Then, like you do with a measuring tape, pull the string upward as needed and mark it with a tack.
- Next, from the corner, pull another string to the side as needed and mark it with a tack again.
- Then, pull the third string between the tacks to measure whether the length and angles match the Pythagorean triple pattern.
- If so, ensure the angle is correct again, and you are ready to design the building structure.
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3. How to Angle a Building with a Theodolite
Finally, you can use a theodolite to angle a building. It should be noted that a theodolite is a tool used to determine angle points, including vertical and horizontal distances between foundation points.
Unlike the previous two methods, this tool is used by builders who undertake large-scale projects. Here is how to angle a building with a theodolite.
- First, set up the theodolite at a reference point that will be used for the 90-degree angle.
- Then, make sure the angle measurement is correct on the display and rotate the telescope 90 degrees to the right.
- After that, ask someone else to mark the building using a target rod.
That concludes the information about the building angle formula and its application. By applying it, you can construct a sturdier building.
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