Tape Cross-Sectional Area for Tension Correction to Measured Length Calculator

✖The Final Tension is the actual tension applied during observation.ⓘ Final Tension [P_f]			+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%
✖Measured Length is the length measured from steel tape during observation.ⓘ Measured Length [s]			+10% -10%
✖Tension Correction is a Correction applied to the measured length of a tape or chain in surveying to account for the sag or tension in the tape or chain, which can cause errors in measurement.ⓘ Tension Correction [C_p]			+10% -10%
✖Modulus of Elasticity of Steel, also known as Young's modulus, is a measure of the stiffness of the material.ⓘ Modulus of Elasticity of Steel [E_s]			+10% -10%

✖Area of Tape is the cross-sectional area of a measuring tape, typically a steel or fiberglass tape used for distance measurement in the field.ⓘ Tape Cross-Sectional Area for Tension Correction to Measured Length [A]

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Tape Cross-Sectional Area for Tension Correction to Measured Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel)
A = ((P_f-P_i)*s)*100000/(C_p*E_s)
This formula uses 6 Variables

Variables Used

Area of Tape - (Measured in Square Meter) - Area of Tape is the cross-sectional area of a measuring tape, typically a steel or fiberglass tape used for distance measurement in the field.
Final Tension - (Measured in Newton) - The Final Tension is the actual tension applied during observation.
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.
Measured Length - (Measured in Meter) - Measured Length is the length measured from steel tape during observation.
Tension Correction - (Measured in Meter) - Tension Correction is a Correction applied to the measured length of a tape or chain in surveying to account for the sag or tension in the tape or chain, which can cause errors in measurement.
Modulus of Elasticity of Steel - (Measured in Megapascal) - Modulus of Elasticity of Steel, also known as Young's modulus, is a measure of the stiffness of the material.

STEP 1: Convert Input(s) to Base Unit

Final Tension: 11.1 Newton --> 11.1 Newton No Conversion Required
Initial Tension: 8 Newton --> 8 Newton No Conversion Required
Measured Length: 10.993 Meter --> 10.993 Meter No Conversion Required
Tension Correction: 4.09 Meter --> 4.09 Meter No Conversion Required
Modulus of Elasticity of Steel: 200000 Megapascal --> 200000 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ((P_f-P_i)*s)*100000/(C_p*E_s) --> ((11.1-8)*10.993)*100000/(4.09*200000)

Evaluating ... ...

A = 4.16605134474328

STEP 3: Convert Result to Output's Unit

4.16605134474328 Square Meter --> No Conversion Required

FINAL ANSWER

4.16605134474328 ≈ 4.166051 Square Meter <-- Area of Tape

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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))

Tape Cross-Sectional Area for Tension Correction to Measured Length Formula

LaTeX Go

Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel)
A = ((P_f-P_i)*s)*100000/(C_p*E_s)

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 is the Correction Factor for Tension and Sag Calculated?

The correction factor is calculated based on the tension, sag, and other physical properties of the cable or wire, such as its weight per unit length and the distance between supports.

How to Calculate Tape Cross-Sectional Area for Tension Correction to Measured Length?

Tape Cross-Sectional Area for Tension Correction to Measured Length calculator uses Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel) to calculate the Area of Tape, The Tape Cross-Sectional Area for Tension Correction to Measured Length formula is defined as the cross-sectional area of a tape measure that is used to determine the tension correction factor when measuring distances. Area of Tape is denoted by A symbol.

How to calculate Tape Cross-Sectional Area for Tension Correction to Measured Length using this online calculator? To use this online calculator for Tape Cross-Sectional Area for Tension Correction to Measured Length, enter Final Tension (P_f), Initial Tension (P_i), Measured Length (s), Tension Correction (C_p) & Modulus of Elasticity of Steel (E_s) and hit the calculate button. Here is how the Tape Cross-Sectional Area for Tension Correction to Measured Length calculation can be explained with given input values -> 4.168704 = ((11.1-8)*10.993)*100000/(4.09*200000000000).

FAQ

What is Tape Cross-Sectional Area for Tension Correction to Measured Length?

The Tape Cross-Sectional Area for Tension Correction to Measured Length formula is defined as the cross-sectional area of a tape measure that is used to determine the tension correction factor when measuring distances and is represented as A = ((P_f-P_i)*s)*100000/(C_p*E_s) or Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel). The Final Tension is the actual tension applied during observation, 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, Measured Length is the length measured from steel tape during observation, Tension Correction is a Correction applied to the measured length of a tape or chain in surveying to account for the sag or tension in the tape or chain, which can cause errors in measurement & Modulus of Elasticity of Steel, also known as Young's modulus, is a measure of the stiffness of the material.

How to calculate Tape Cross-Sectional Area for Tension Correction to Measured Length?

The Tape Cross-Sectional Area for Tension Correction to Measured Length formula is defined as the cross-sectional area of a tape measure that is used to determine the tension correction factor when measuring distances is calculated using Area of Tape = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Modulus of Elasticity of Steel). To calculate Tape Cross-Sectional Area for Tension Correction to Measured Length, you need Final Tension (P_f), Initial Tension (P_i), Measured Length (s), Tension Correction (C_p) & Modulus of Elasticity of Steel (E_s). With our tool, you need to enter the respective value for Final Tension, Initial Tension, Measured Length, Tension Correction & Modulus of Elasticity of Steel 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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