Sag Correction of Unsupported Tape 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 span or distance between supports or points of restraint for a structural member, such as a beam or a column.ⓘ Unsupported Length [U_l]			+10% -10%
✖Initial Tension is the initial force or stress applied to a structural element or a component of a structure before it undergoes any external loading.ⓘ Initial Tension [P_i]			+10% -10%

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

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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))
C_s = ((W^2)*(U_l^3))/(24*(P_i^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 span or distance between supports or points of restraint for a structural member, such as a beam or a column.
Initial Tension - (Measured in Newton) - Initial Tension is the initial force or stress applied to a structural element or a component of a structure before it undergoes any external loading.

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

C_s = ((W^2)*(U_l^3))/(24*(P_i^2)) --> ((3^2)*(9^3))/(24*(8^2))

Evaluating ... ...

C_s = 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)

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Home » Engineering » Civil » Surveying Formulas » Measurement of Distance with Tapes » Correction for Tension and Sag to Measured Length » Sag Correction of Unsupported Tape

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Created by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< Correction for Tension and Sag to Measured Length Calculators

Tension Correction to Measured Length

LaTeX 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

LaTeX 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

LaTeX Go Modulus of Elasticity of Steel = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Area of Tape)

Sag Correction of Unsupported Tape

LaTeX Go Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2))

Sag Correction of Unsupported Tape Formula

LaTeX Go

Sag Correction = ((Weight of Tape per Unit Length^2)*(Unsupported Length^3))/(24*(Initial Tension^2))
C_s = ((W^2)*(U_l^3))/(24*(P_i^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 adjustment applied to the measured length of a tape that has sagged under its own weight during a measurement. It corrects for the discrepancy between the measured length of the tape and the actual distance. Sag Correction is denoted by C_s 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 (U_l) & Initial Tension (P_i) 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 adjustment applied to the measured length of a tape that has sagged under its own weight during a measurement. It corrects for the discrepancy between the measured length of the tape and the actual distance and is represented as C_s = ((W^2)*(U_l^3))/(24*(P_i^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 span or distance between supports or points of restraint for a structural member, such as a beam or a column & Initial Tension is the initial force or stress applied to a structural element or a component of a structure before it undergoes any external loading.

How to calculate Sag Correction of Unsupported Tape?

The Sag Correction of Unsupported Tape formula is defined as the adjustment applied to the measured length of a tape that has sagged under its own weight during a measurement. It corrects for the discrepancy between the measured length of the tape and the actual distance 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 (U_l) & Initial Tension (P_i). 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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