Eg:
The slope distance between the two points measures 265m. The difference in the elevation between the two points is 8m. Determine the horizontal length by using the slope correction formula.
To find:
The horizontal distance = D =?
Calculation:
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Correction for slope
Cs = - [ h² ÷ 2L]
Where,
L = measured distance between two points = 265m.
h = Vertical difference in elevation between two points = 8m.
Cs = [8² ÷ (2 х 265) ]
= [ 64 ÷ 530]
= 0.1207m.
The horizontal distance between two points
D = [ Measured distance - slope correction]
= [ 265m - 0.1207m.]
= 264.879m.
Note:
1. The slope correction is always negative as the horizontal distance will be shorter than the measured slope distance.
2. The correction is applied when there is a difference in elevation between the two points.
To know:
The slope correction formula is derived by applying Pythagoras theorem in the equation.
Let us find the horizontal distance by the Pythagoras theorem.
L² = [D² + h²]
265² = [D² + 8²]
D² = [265² - 8²]
D² = 70,161
D = √ 70,161
= 264.879m. ✔
To understand A to Z of surveying, click here.
Thank you for going through these calculation steps❤. Have a good day 😄.
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