Sag Correction of Unsupported Tape Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2))
Cs = ((W^2)*(Ul^3))/(24*(Pi^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.
Initial Tension - (Measured in Newton) - Initial tension at which tape is standardized.
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
Initial Tension: 8 Newton --> 8 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cs = ((W^2)*(Ul^3))/(24*(Pi^2)) --> ((3^2)*(9^3))/(24*(8^2))
Evaluating ... ...
Cs = 4.271484375
STEP 3: Convert Result to Output's Unit
4.271484375 Meter --> No Conversion Required
FINAL ANSWER
4.271484375 4.271484 Meter <-- Sag Correction
(Calculation completed in 00.004 seconds)

Credits

Created by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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NSS College of Engineering (NSSCE), Palakkad
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5 Correction for Tension and Sag to Measured Length Calculators

Tension Correction to Measured Length
Go Tension Correction = (((Final Tension-Initial Tension)*Measured Length)*100000/(Area of Tape*Modulus of Elasticity of Steel))
Tape Cross-Sectional Area for Tension Correction to Measured Length
Go Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel)
Tape Elasticity Modulus given Tension Correction to Measured Length
Go Modulus of Elasticity of Steel = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Area of Tape)
Tape Weight given Sag Correction of Unsupported Tape
Go Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2)
Sag Correction of Unsupported Tape
Go Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2))

Sag Correction of Unsupported Tape Formula

Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2))
Cs = ((W^2)*(Ul^3))/(24*(Pi^2))

What is Sagging?

Sagging occurs in the tape when while taping between two points the tape ends up suspended above the ground due to the height of the marker points.

How can Errors in Tension and Sag Corrections be Minimized in Surveying?

Errors in tension and sag corrections can be minimized in surveying by ensuring that the tape is properly supported and that the tension applied is consistent and within the range specified by the tape manufacturer. Additionally, the tape should be kept clean and dry to prevent any changes in its properties.

How to Calculate Sag Correction of Unsupported Tape?

Sag Correction of Unsupported Tape calculator uses Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2)) to calculate the Sag Correction, The Sag Correction of Unsupported Tape formula is defined as the correction in the measurement calculated due to the sagging of tape. Sag Correction is denoted by Cs symbol.

How to calculate Sag Correction of Unsupported Tape using this online calculator? To use this online calculator for Sag Correction of Unsupported Tape, enter Weight of Tape per Unit Length (W), Unsupported Length (Ul) & Initial Tension (Pi) and hit the calculate button. Here is how the Sag Correction of Unsupported Tape calculation can be explained with given input values -> 4.271484 = ((3^2)*(9^3))/(24*(8^2)).

FAQ

What is Sag Correction of Unsupported Tape?
The Sag Correction of Unsupported Tape formula is defined as the correction in the measurement calculated due to the sagging of tape and is represented as Cs = ((W^2)*(Ul^3))/(24*(Pi^2)) or Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^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 & Initial tension at which tape is standardized.
How to calculate Sag Correction of Unsupported Tape?
The Sag Correction of Unsupported Tape formula is defined as the correction in the measurement calculated due to the sagging of tape is calculated using Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2)). To calculate Sag Correction of Unsupported Tape, you need Weight of Tape per Unit Length (W), Unsupported Length (Ul) & Initial Tension (Pi). With our tool, you need to enter the respective value for Weight of Tape per Unit Length, Unsupported Length & Initial Tension 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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