Sag Correction between Points of Support Calculator

✖Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements.ⓘ Weight of Tape per Unit Length [W]			+10% -10%
✖Unsupported Length is the length between the support.ⓘ Unsupported Length [U_l]			+10% -10%
✖Pull on Tape is the tension or pull applied to the tape in newtons (N).ⓘ Pull on Tape [P]			+10% -10%

✖Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.ⓘ Sag Correction between Points of Support [C_s]

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Formula

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Sag Correction between Points of Support

Formula

`"C"_{"s"} = -("W"^2)*("U"_{"l"}^3)/(24*"P"^2)`

Example

`"-12.014952m"=-(("3kg/m")^2)*(("9m")^3)/(24*("4.77N")^2)`

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Sag Correction between Points of Support Solution

STEP 0: Pre-Calculation Summary

Formula Used

Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)
C_s = -(W^2)*(U_l^3)/(24*P^2)
This formula uses 4 Variables

Variables Used

Sag Correction - (Measured in Meter) - Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.
Weight of Tape per Unit Length - (Measured in Kilogram per Meter) - Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements.
Unsupported Length - (Measured in Meter) - Unsupported Length is the length between the support.
Pull on Tape - (Measured in Newton) - Pull on Tape is the tension or pull applied to the tape in newtons (N).

STEP 1: Convert Input(s) to Base Unit

Weight of Tape per Unit Length: 3 Kilogram per Meter --> 3 Kilogram per Meter No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required
Pull on Tape: 4.77 Newton --> 4.77 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C_s = -(W^2)*(U_l^3)/(24*P^2) --> -(3^2)*(9^3)/(24*4.77^2)

Evaluating ... ...

C_s = -12.0149519401922

STEP 3: Convert Result to Output's Unit

-12.0149519401922 Meter --> No Conversion Required

FINAL ANSWER

-12.0149519401922 ≈ -12.014952 Meter <-- Sag Correction

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 5 Temperature Corrections Calculators

Temperature Corrections for Incorrect Tape Length

Go Length Correction due to Temperature = ((Actual Tape Length-Nominal Tape Length)*Unsupported Length)/(Nominal Tape Length)

Tape Weight per foot for Sag Correction between Points of Support

Go Weight of Tape per Unit Length = -sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3))

Pull-on Tape given Sag Correction between Points of Support

Go Pull on Tape = sqrt((-Weight of Tape per Unit Length^2*Unsupported Length^3)/(24*Sag Correction))

Unsupported Tape Length given Sag Correction between Points of Support

Go Unsupported Length = ((-24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3)

Sag Correction between Points of Support

Go Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)

Sag Correction between Points of Support Formula

Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)
C_s = -(W^2)*(U_l^3)/(24*P^2)

What is Sag Correction?

A tape correction applied to the apparent length of a level base line to counteract the sag in measuring tape (i.e., the difference between the horizontal distance between supports and the length measured along the curve.) The correction due to sag must be calculated separately for each unsupported stretch separately. Hence the correction is taken to be negative.

How does the Temperature Correction Affect the Accuracy of Surveying measurements?

Temperature correction can significantly affect the accuracy of surveying measurements. Without temperature correction, the measurements can be off by a few millimetres or even centimeters, depending on the temperature difference. By applying temperature correction, surveyors can ensure that their measurements are accurate and reliable.

How to Calculate Sag Correction between Points of Support?

Sag Correction between Points of Support calculator uses Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2) to calculate the Sag Correction, The Sag Correction between Points of Support formula is defined as the correction required in an unsupported tape length's sag which forms a catenary between end supports. Sag Correction is denoted by C_s symbol.

How to calculate Sag Correction between Points of Support using this online calculator? To use this online calculator for Sag Correction between Points of Support, enter Weight of Tape per Unit Length (W), Unsupported Length (U_l) & Pull on Tape (P) and hit the calculate button. Here is how the Sag Correction between Points of Support calculation can be explained with given input values -> -10.935 = -(3^2)*(9^3)/(24*4.77^2).

FAQ

What is Sag Correction between Points of Support?

The Sag Correction between Points of Support formula is defined as the correction required in an unsupported tape length's sag which forms a catenary between end supports and is represented as C_s = -(W^2)*(U_l^3)/(24*P^2) or Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2). Weight of Tape per Unit Length is a measurement used in surveying to determine weight of measuring tape over a certain distance and is used to calculate tension and sag of tape during measurements, Unsupported Length is the length between the support & Pull on Tape is the tension or pull applied to the tape in newtons (N).

How to calculate Sag Correction between Points of Support?

The Sag Correction between Points of Support formula is defined as the correction required in an unsupported tape length's sag which forms a catenary between end supports is calculated using Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2). To calculate Sag Correction between Points of Support, you need Weight of Tape per Unit Length (W), Unsupported Length (U_l) & Pull on Tape (P). With our tool, you need to enter the respective value for Weight of Tape per Unit Length, Unsupported Length & Pull on Tape 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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