Tape Elasticity Modulus given Tension Correction to Measured Length Calculator

✖The final tension is the actual tension applied during observation.ⓘ Final Tension [P_f]			+10% -10%
✖Initial tension at which tape is standardized.ⓘ Initial Tension [P_i]			+10% -10%
✖The 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%
✖The area of tape is actually the cross section area of tape.ⓘ Area of Tape [A]			+10% -10%

✖Modulus of Elasticity of Steel, also known as Young's modulus, is a measure of the stiffness of the material.ⓘ Tape Elasticity Modulus given Tension Correction to Measured Length [E_s]

⎘ Copy

👎

Formula

✖

Tape Elasticity Modulus given Tension Correction to Measured Length

Formula

`"E"_{"s"} = (("P"_{"f"}-"P"_{"i"})*"s")*100000/("C"_{"p"}*"A")`

Example

`"200418.5MPa"=(("11.1N"-"8N")*"11m")*100000/("4.09m"*"4.16m²")`

Calculator

LaTeX

Reset

👍

Download Surveying Formulas Formula PDF

Tape Elasticity Modulus given Tension Correction to Measured Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Final Tension - (Measured in Newton) - The final tension is the actual tension applied during observation.
Initial Tension - (Measured in Newton) - Initial tension at which tape is standardized.
Measured Length - (Measured in Meter) - The 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.
Area of Tape - (Measured in Square Meter) - The area of tape is actually the cross section area of tape.

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: 11 Meter --> 11 Meter No Conversion Required
Tension Correction: 4.09 Meter --> 4.09 Meter No Conversion Required
Area of Tape: 4.16 Square Meter --> 4.16 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_s = ((P_f-P_i)*s)*100000/(C_p*A) --> ((11.1-8)*11)*100000/(4.09*4.16)

Evaluating ... ...

E_s = 200418.469061501

STEP 3: Convert Result to Output's Unit

200418469061.501 Pascal -->200418.469061501 Megapascal (Check conversion here)

FINAL ANSWER

200418.469061501 ≈ 200418.5 Megapascal <-- Modulus of Elasticity of Steel

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 800+ more calculators!

< 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))

Tape Elasticity Modulus given Tension Correction to Measured Length Formula

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

What is Modulus of Elasticity ?

An elastic modulus is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it. The elastic modulus of an object is defined as the slope of its stress–strain curve in the elastic deformation region.

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 Tape Elasticity Modulus given Tension Correction to Measured Length?

Tape Elasticity Modulus given Tension Correction to Measured Length calculator uses Modulus of Elasticity of Steel = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Area of Tape) to calculate the Modulus of Elasticity of Steel, The Tape Elasticity Modulus given Tension Correction to Measured Length formula is defined as ratio of stress in tape material to strain in tape material due to a definite force. Modulus of Elasticity of Steel is denoted by E_s symbol.

How to calculate Tape Elasticity Modulus given Tension Correction to Measured Length using this online calculator? To use this online calculator for Tape Elasticity Modulus given Tension Correction to Measured Length, enter Final Tension (P_f), Initial Tension (P_i), Measured Length (s), Tension Correction (C_p) & Area of Tape (A) and hit the calculate button. Here is how the Tape Elasticity Modulus given Tension Correction to Measured Length calculation can be explained with given input values -> 0.136619 = ((11.1-8)*11)*100000/(4.09*4.16).

FAQ

What is Tape Elasticity Modulus given Tension Correction to Measured Length?

The Tape Elasticity Modulus given Tension Correction to Measured Length formula is defined as ratio of stress in tape material to strain in tape material due to a definite force and is represented as E_s = ((P_f-P_i)*s)*100000/(C_p*A) or Modulus of Elasticity of Steel = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Area of Tape). The final tension is the actual tension applied during observation, Initial tension at which tape is standardized, The 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 & The area of tape is actually the cross section area of tape.

How to calculate Tape Elasticity Modulus given Tension Correction to Measured Length?

The Tape Elasticity Modulus given Tension Correction to Measured Length formula is defined as ratio of stress in tape material to strain in tape material due to a definite force is calculated using Modulus of Elasticity of Steel = ((Final Tension-Initial Tension)*Measured Length)*100000/(Tension Correction*Area of Tape). To calculate Tape Elasticity Modulus given Tension Correction to Measured Length, you need Final Tension (P_f), Initial Tension (P_i), Measured Length (s), Tension Correction (C_p) & Area of Tape (A). With our tool, you need to enter the respective value for Final Tension, Initial Tension, Measured Length, Tension Correction & Area of Tape and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search