Difference in Elevation between Two Points using Barometric Levelling Calculator

✖Height of point A is the vertical distance of the instrument placed on point A.ⓘ Height of point A [h_i]			+10% -10%
✖Height of point B is the vertical distance of the instrument placed on point B.ⓘ Height of point B [h_t]			+10% -10%
✖Temperature at lower ground level is the temperature measured at lower elevation.ⓘ Temperature at Lower Ground Level [T₁]			+10% -10%
✖Temperature at higher level is the temperature measured at a greater elevation.ⓘ Temperature at Higher level [T₂]			+10% -10%

✖Distance between points is the actual distance from one point to the other.ⓘ Difference in Elevation between Two Points using Barometric Levelling [D_p]

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Formula

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Difference in Elevation between Two Points using Barometric Levelling

Formula

`"D"_{"p"} = 18336.6*(log10("h"_{"i"})-log10("h"_{"t"}))*(1+("T"_{"1"}+"T"_{"2"})/500)`

Example

`"2058.222m"=18336.6*(log10("22m")-log10("19.5m"))*(1+("8°C"+"17°C")/500)`

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Difference in Elevation between Two Points using Barometric Levelling Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500)
D_p = 18336.6*(log10(h_i)-log10(h_t))*(1+(T₁+T₂)/500)
This formula uses 1 Functions, 5 Variables

Functions Used

log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)

Variables Used

Distance between Points - (Measured in Meter) - Distance between points is the actual distance from one point to the other.
Height of point A - (Measured in Meter) - Height of point A is the vertical distance of the instrument placed on point A.
Height of point B - (Measured in Meter) - Height of point B is the vertical distance of the instrument placed on point B.
Temperature at Lower Ground Level - (Measured in Kelvin) - Temperature at lower ground level is the temperature measured at lower elevation.
Temperature at Higher level - (Measured in Kelvin) - Temperature at higher level is the temperature measured at a greater elevation.

STEP 1: Convert Input(s) to Base Unit

Height of point A: 22 Meter --> 22 Meter No Conversion Required
Height of point B: 19.5 Meter --> 19.5 Meter No Conversion Required
Temperature at Lower Ground Level: 8 Celsius --> 281.15 Kelvin (Check conversion here)
Temperature at Higher level: 17 Celsius --> 290.15 Kelvin (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_p = 18336.6*(log10(h_i)-log10(h_t))*(1+(T₁+T₂)/500) --> 18336.6*(log10(22)-log10(19.5))*(1+(281.15+290.15)/500)

Evaluating ... ...

D_p = 2058.22242892625

STEP 3: Convert Result to Output's Unit

2058.22242892625 Meter --> No Conversion Required

FINAL ANSWER

2058.22242892625 ≈ 2058.222 Meter <-- Distance between Points

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 17 Levelling Calculators

Difference in Elevation between Two Points using Barometric Levelling

Go Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500)

Difference in Elevation between Ground Points in short lines under Trigonometric levelling

Go Elevation Difference = Distance between Points*sin(Measured Angle)+Height of point A-Height of point B

Distance between Two points under Curvature and Refraction

Go Distance between Two Points = (2*Earth Radius in km*Error due to Curvature+(Error due to Curvature^2))^(1/2)

Distance for small errors under Curvature and Refraction

Go Distance between Two Points = sqrt(2*Earth Radius in km*Error due to Curvature)

Angle of Dip for Compass Surveying

Go Dip Angle = Distance between Two Points/Earth Radius in km*(180/pi)

Error Due to Curvature Effect

Go Error due to Curvature = Distance between Two Points^2/(2*Earth Radius in km)

Distance to Visible Horizon

Go Distance between Two Points = sqrt(Height of Observer/0.0673)

Permissible Closing Error for Rough Levelling

Go Closing Error = 100*sqrt(Distance between Two Points)

Permissible Closing Error for Ordinary Levelling

Go Closing Error = 24*sqrt(Distance between Two Points)

Permissible Closing Error for Accurate Levelling

Go Closing Error = 12*sqrt(Distance between Two Points)

Permissible Closing Error for Precise Levelling

Go Closing Error = 4*sqrt(Distance between Two Points)

Reduced Level given Height of Instrument

Go Reduced Level = Height of Instrument-Back Sight

Back Sight given Height of Instrument

Go Back Sight = Height of Instrument-Reduced Level

Height of Instrument

Go Height of Instrument = Reduced Level+Back Sight

Correction on Refraction Error

Go Refraction Correction = 0.0112*Distance between Two Points^2

Height of Observer

Go Height of Observer = 0.0673*Distance between Two Points^2

Combined Error Due to Curvature and Refraction

Go Combined Error = 0.0673*Distance between Two Points^2

Difference in Elevation between Two Points using Barometric Levelling Formula

What is Barometric Levelling?

The instrument used for measuring pressure is called a barometer. The modified form of a barometer used to find relative elevations of points on the surface of the earth is called altimeter. It is simple in operation but very sensitive to changes in atmospheric pressures. The method used to measure elevations with an altimeter is known as single base method. Two altimeters are required. One altimeter along with a thermometer is placed at a point of known elevation called control point, where the readings are taken at regular intervals. The other altimeter called roving altimeter is taken to the points whose elevations are desired. Readings of the roving altimeter taken at the desired points are adjusted later in accordance with changes in temperature and the like observed at the control point.

What is the Principle of Barometric Levelling?

The principle used in barometric levelling is that the elevation of a point is inversely proportional to the weight of the air column above the observer. However, the relationship between pressure and elevation is not constant as air is compressible. Sudden changes in temperature, humidity, and weather conditions due to storms also affect pressure.

How to Calculate Difference in Elevation between Two Points using Barometric Levelling?

Difference in Elevation between Two Points using Barometric Levelling calculator uses Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500) to calculate the Distance between Points, The Difference in Elevation between Two Points using Barometric Levelling is defined when the surveying ground is somewhere in mountainous or hilly area. Distance between Points is denoted by D_p symbol.

How to calculate Difference in Elevation between Two Points using Barometric Levelling using this online calculator? To use this online calculator for Difference in Elevation between Two Points using Barometric Levelling, enter Height of point A (h_i), Height of point B (h_t), Temperature at Lower Ground Level (T₁) & Temperature at Higher level (T₂) and hit the calculate button. Here is how the Difference in Elevation between Two Points using Barometric Levelling calculation can be explained with given input values -> 2058.222 = 18336.6*(log10(22)-log10(19.5))*(1+(281.15+290.15)/500).

FAQ

What is Difference in Elevation between Two Points using Barometric Levelling?

The Difference in Elevation between Two Points using Barometric Levelling is defined when the surveying ground is somewhere in mountainous or hilly area and is represented as D_p = 18336.6*(log10(h_i)-log10(h_t))*(1+(T₁+T₂)/500) or Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500). Height of point A is the vertical distance of the instrument placed on point A, Height of point B is the vertical distance of the instrument placed on point B, Temperature at lower ground level is the temperature measured at lower elevation & Temperature at higher level is the temperature measured at a greater elevation.

How to calculate Difference in Elevation between Two Points using Barometric Levelling?

The Difference in Elevation between Two Points using Barometric Levelling is defined when the surveying ground is somewhere in mountainous or hilly area is calculated using Distance between Points = 18336.6*(log10(Height of point A)-log10(Height of point B))*(1+(Temperature at Lower Ground Level+Temperature at Higher level)/500). To calculate Difference in Elevation between Two Points using Barometric Levelling, you need Height of point A (h_i), Height of point B (h_t), Temperature at Lower Ground Level (T₁) & Temperature at Higher level (T₂). With our tool, you need to enter the respective value for Height of point A, Height of point B, Temperature at Lower Ground Level & Temperature at Higher level and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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