to find the slope of the staircase
We use two methods for finding the slope of the staircase
method 1
tan α = Rise /Run
Assume Rise and Run = 6″ and 12″
(Run = Tread )
tan α = 6/12
tan α = 0.5
α = tan -1 0.5
α = 26.565 degree ( θ = 26.565 )
method 2
tan α = Total rise / Total run
Total rise = horizontal distance
Total run = staircase height ( stringer height )
Assume Rise, Run and Height = 6″, 12″ and 10′
number of steps = Height / Rise
= 10/0.5
( 6″ is 0.5′ ) Basic unit conversions in civil engineering
= 20 steps
Horizontal distance = steps x run
= 20 x 12″
= 240″ ( 20′ )
( total run = 20′, total rise = 10′ ) & ( number of treads = number of steps – 1 )
tan α = 10/20
tan α = 0.5
α = tan -1 0.5
α = 26.565 degree ( θ = 26.565 )
summary
In this assumed data, the slope of the staircase is 26.565 degrees. Most of the cases the average slope is 25° to 30°.
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