Tape Weight given Sag Correction of Unsupported Tape Calculator

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

✖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.ⓘ Tape Weight given Sag Correction of Unsupported Tape [W]

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Tape Weight given Sag Correction of Unsupported Tape Solution

STEP 0: Pre-Calculation Summary

Formula Used

Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2)
W = ((C_s*24*(P_i^2))/(U_l^3))^(1/2)
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Sag Correction: 4.271 Meter --> 4.271 Meter No Conversion Required
Initial Tension: 8 Newton --> 8 Newton No Conversion Required
Unsupported Length: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

W = ((C_s*24*(P_i^2))/(U_l^3))^(1/2) --> ((4.271*24*(8^2))/(9^3))^(1/2)

Evaluating ... ...

W = 2.99982989915567

STEP 3: Convert Result to Output's Unit

2.99982989915567 Kilogram per Meter --> No Conversion Required

FINAL ANSWER

2.99982989915567 ≈ 2.99983 Kilogram per Meter <-- Weight of Tape per Unit Length

(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 » Tape Weight given Sag Correction of Unsupported Tape

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Meerut Institute of Engineering and Technology (MIET), Meerut

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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 Weight given Sag Correction of Unsupported Tape Formula

LaTeX Go

Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2)
W = ((C_s*24*(P_i^2))/(U_l^3))^(1/2)

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 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 Weight given Sag Correction of Unsupported Tape?

Tape Weight given Sag Correction of Unsupported Tape calculator uses Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2) to calculate the Weight of Tape per Unit Length, The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of the tape that is used in the correction calculations for sag. When a tape measure is stretched between two points without support, it tends to sag due to its own weight. The sag correction adjusts the measured distance to account for this sag. Weight of Tape per Unit Length is denoted by W symbol.

How to calculate Tape Weight given Sag Correction of Unsupported Tape using this online calculator? To use this online calculator for Tape Weight given Sag Correction of Unsupported Tape, enter Sag Correction (C_s), Initial Tension (P_i) & Unsupported Length (U_l) and hit the calculate button. Here is how the Tape Weight given Sag Correction of Unsupported Tape calculation can be explained with given input values -> 5.028315 = ((4.271*24*(8^2))/(9^3))^(1/2).

FAQ

What is Tape Weight given Sag Correction of Unsupported Tape?

The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of the tape that is used in the correction calculations for sag. When a tape measure is stretched between two points without support, it tends to sag due to its own weight. The sag correction adjusts the measured distance to account for this sag and is represented as W = ((C_s*24*(P_i^2))/(U_l^3))^(1/2) or Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2). Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems, 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 & Unsupported Length is the span or distance between supports or points of restraint for a structural member, such as a beam or a column.

How to calculate Tape Weight given Sag Correction of Unsupported Tape?

The Tape Weight given Sag Correction of Unsupported Tape formula is defined as the weight of the tape that is used in the correction calculations for sag. When a tape measure is stretched between two points without support, it tends to sag due to its own weight. The sag correction adjusts the measured distance to account for this sag is calculated using Weight of Tape per Unit Length = ((Sag Correction*24*(Initial Tension^2))/(Unsupported Length^3))^(1/2). To calculate Tape Weight given Sag Correction of Unsupported Tape, you need Sag Correction (C_s), Initial Tension (P_i) & Unsupported Length (U_l). With our tool, you need to enter the respective value for Sag Correction, Initial Tension & Unsupported Length 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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