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How to Calculate the Slope of the Stair

How to Calculate the Slope of the Stair

How to Calculate the Slope of the Stair

Staircase is an important component of the building providing access to different floors and roof of building. It is consists of the flight of steps (stairs) and 1 or more intermediate landing slabs between the floor levels. Different types of the staircases can be made by arranging stairs & landing slabs. How to Calculate the Slope of the Stair

To begin with, it is essential to comprehend the meaning of slope. In this context, slope refers to the angle that a staircase forms with the horizontal reference line. This provides a basic definition of the slope of the staircase. The formula for calculating the slope is the ratio of the vertical rise to the horizontal run.

How to Calculate the Slope of the Stair

So , now the question is the how can we determine same angle which the staircase is making with horizontal reference line?

I will explain this with an example. Let’s say we know the rise an run value;

rise is 6″ and run is 12

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Therefore when we use the formula above, our answer will be tan a = 0.5″{tan a= Six /12}
Further we calculate the value of the tan a in our scientific calculator, we get the value as 26.56505118 degree

{ a= tan -1 (0.5″)}.

How to find the slope of staircase

Now, if the rise and run of the stairs are unknown?

In this case we have to take the few measurements .If u measure the horizontal distance from the edge of staircase and other from the perpendicular distance, we can get the rise and run value by using the measuring tape.

Run and Rise

Now this is the right angle triangle, so using rise over run ratio, we can find an angle of the staircase.


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