Slope Correction for Slopes Greater than 10 Percent Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3))
Cs = ((h^2)/(2*Ul))+(h^4/(8*Ul^3))
This formula uses 3 Variables
Variables Used
Slope Correction - (Measured in Meter) - The Slope correction to be subtracted from slope distance.
Elevation Difference - (Measured in Meter) - The elevation difference at ends of measured length.
Unsupported Length - (Measured in Meter) - Unsupported Length is the length between the support.
STEP 1: Convert Input(s) to Base Unit
Elevation Difference: 13 Meter --> 13 Meter No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cs = ((h^2)/(2*Ul))+(h^4/(8*Ul^3)) --> ((13^2)/(2*9))+(13^4/(8*9^3))
Evaluating ... ...
Cs = 14.2861796982167
STEP 3: Convert Result to Output's Unit
14.2861796982167 Meter --> No Conversion Required
FINAL ANSWER
14.2861796982167 14.28618 Meter <-- Slope Correction
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
Ishita Goyal has created this Calculator and 500+ more calculators!
Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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5 Slope Corrections Calculators

Slope Correction for Slopes Greater than 10 Percent
Go Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3))
Horizontal Distance in Slope Measurements
Go Horizontal Distance = Slope Distance*cos(Vertical Angle)
Horizontal offset given Slope Correction for Slopes of 10 Percent or Less
Go Difference in Elevation = (2*Unsupported Length*Slope Correction)^(1/2)
Slope Correction for Slopes of 10 Percent or Less
Go Slope Correction = Difference in Elevation^2/(2*Unsupported Length)
Slope Distance given Slope Correction for Slopes of 10 Percent or Less
Go Slope Correction = Elevation Difference^2/(2*Unsupported Length)

Slope Correction for Slopes Greater than 10 Percent Formula

Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3))
Cs = ((h^2)/(2*Ul))+(h^4/(8*Ul^3))

Can Slope Corrections be Negative in Surveying?

Yes, slope corrections can be negative in surveying. This happens when the slope is downhill and the measured distance is shorter than the horizontal distance.

What is Slope and Slope Corrections?

The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope corrections in surveying refer to adjustments made to measured horizontal distances to account for the slope of the ground.

How to Calculate Slope Correction for Slopes Greater than 10 Percent?

Slope Correction for Slopes Greater than 10 Percent calculator uses Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3)) to calculate the Slope Correction, The Slope Correction for Slopes Greater than 10 Percent formula is defined as the length of slope from the bottom to the top of the slope and is larger than both the vertical and horizontal distance. Slope Correction is denoted by Cs symbol.

How to calculate Slope Correction for Slopes Greater than 10 Percent using this online calculator? To use this online calculator for Slope Correction for Slopes Greater than 10 Percent, enter Elevation Difference (h) & Unsupported Length (Ul) and hit the calculate button. Here is how the Slope Correction for Slopes Greater than 10 Percent calculation can be explained with given input values -> 14.28618 = ((13^2)/(2*9))+(13^4/(8*9^3)).

FAQ

What is Slope Correction for Slopes Greater than 10 Percent?
The Slope Correction for Slopes Greater than 10 Percent formula is defined as the length of slope from the bottom to the top of the slope and is larger than both the vertical and horizontal distance and is represented as Cs = ((h^2)/(2*Ul))+(h^4/(8*Ul^3)) or Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3)). The elevation difference at ends of measured length & Unsupported Length is the length between the support.
How to calculate Slope Correction for Slopes Greater than 10 Percent?
The Slope Correction for Slopes Greater than 10 Percent formula is defined as the length of slope from the bottom to the top of the slope and is larger than both the vertical and horizontal distance is calculated using Slope Correction = ((Elevation Difference^2)/(2*Unsupported Length))+(Elevation Difference^4/(8*Unsupported Length^3)). To calculate Slope Correction for Slopes Greater than 10 Percent, you need Elevation Difference (h) & Unsupported Length (Ul). With our tool, you need to enter the respective value for Elevation Difference & Unsupported Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Slope Correction?
In this formula, Slope Correction uses Elevation Difference & Unsupported Length. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Slope Correction = Difference in Elevation^2/(2*Unsupported Length)
  • Slope Correction = Elevation Difference^2/(2*Unsupported Length)
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