Slope Correction for Slopes of 10 Percent or Less Calculator

✖Difference in elevation at ends of measured length.ⓘ Difference in Elevation [ΔH]			+10% -10%
✖Unsupported Length is the length between the support.ⓘ Unsupported Length [U_l]			+10% -10%

✖The Slope correction to be subtracted from slope distance.ⓘ Slope Correction for Slopes of 10 Percent or Less [Cs]

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Formula

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Slope Correction for Slopes of 10 Percent or Less

Formula

`"Cs" = "ΔH"^2/(2*"U"_{"l"})`

Example

`"12.5m"=("15m")^2/(2*"9m")`

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Slope Correction for Slopes of 10 Percent or Less Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope Correction = Difference in Elevation^2/(2*Unsupported Length)
Cs = ΔH^2/(2*U_l)
This formula uses 3 Variables

Variables Used

Slope Correction - (Measured in Meter) - The Slope correction to be subtracted from slope distance.
Difference in Elevation - (Measured in Meter) - Difference in elevation 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

Difference in Elevation: 15 Meter --> 15 Meter No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Cs = ΔH^2/(2*U_l) --> 15^2/(2*9)

Evaluating ... ...

Cs = 12.5

STEP 3: Convert Result to Output's Unit

12.5 Meter --> No Conversion Required

FINAL ANSWER

12.5 Meter <-- Slope Correction

(Calculation completed in 00.004 seconds)

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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

Chandana P Dev has verified this Calculator and 1700+ more calculators!

< 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 of 10 Percent or Less Formula

Slope Correction = Difference in Elevation^2/(2*Unsupported Length)
Cs = ΔH^2/(2*U_l)

What is the Effect of neglecting Slope Corrections in Surveying?

Neglecting slope corrections in surveying can result in errors in the measured distances and consequently affect the accuracy of the survey. These errors can compound over long distances or on steep slopes.

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 of 10 Percent or Less?

Slope Correction for Slopes of 10 Percent or Less calculator uses Slope Correction = Difference in Elevation^2/(2*Unsupported Length) to calculate the Slope Correction, The Slope Correction for Slopes of 10 Percent or Less formula is defined as the correction which is applied to a distance measured on a slope in order to reduce it to a horizontal distance, between the vertical lines through its endpoints. Slope Correction is denoted by Cs symbol.

How to calculate Slope Correction for Slopes of 10 Percent or Less using this online calculator? To use this online calculator for Slope Correction for Slopes of 10 Percent or Less, enter Difference in Elevation (ΔH) & Unsupported Length (U_l) and hit the calculate button. Here is how the Slope Correction for Slopes of 10 Percent or Less calculation can be explained with given input values -> 12.5 = 15^2/(2*9).

FAQ

What is Slope Correction for Slopes of 10 Percent or Less?

How to calculate Slope Correction for Slopes of 10 Percent or Less?

The Slope Correction for Slopes of 10 Percent or Less formula is defined as the correction which is applied to a distance measured on a slope in order to reduce it to a horizontal distance, between the vertical lines through its endpoints is calculated using Slope Correction = Difference in Elevation^2/(2*Unsupported Length). To calculate Slope Correction for Slopes of 10 Percent or Less, you need Difference in Elevation (ΔH) & Unsupported Length (U_l). With our tool, you need to enter the respective value for Difference in Elevation & 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 Difference in Elevation & Unsupported Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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