Sag Correction between Points of Support Solution

STEP 0: Pre-Calculation Summary
Formula Used
Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)
Cs = -(W^2)*(Ul^3)/(24*P^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.
Pull on Tape - (Measured in Newton) - Pull on Tape is the tension or pull applied to the tape in newtons (N).
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
Pull on Tape: 8 Newton --> 8 Newton No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Cs = -(W^2)*(Ul^3)/(24*P^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

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Bhilai Institute of Technology (BIT), Raipur
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Temperature Corrections Calculators

Temperature Corrections for Incorrect Tape Length
​ LaTeX ​ Go Temperature Corrections for Incorrect Tape Length = ((Actual Tape Length-Nominal Tape Length)*Unsupported Length)/(Nominal Tape Length)
Tape Weight per Foot for Sag Correction between Points of Support
​ LaTeX ​ Go Weight of Tape per Unit Length = sqrt((Sag Correction*24*Pull on Tape^2)/(Unsupported Length^3))
Unsupported Tape Length given Sag Correction between Points of Support
​ LaTeX ​ Go Unsupported Length = ((24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3)
Sag Correction between Points of Support
​ LaTeX ​ Go Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)

Sag Correction between Points of Support Formula

​LaTeX ​Go
Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2)
Cs = -(W^2)*(Ul^3)/(24*P^2)

What is Sag Correction?

A tape correction applied to the apparent length of a level base line to counteract the sag in measuring tape (i.e., the difference between the horizontal distance between supports and the length measured along the curve.) The correction due to sag must be calculated separately for each unsupported stretch separately. Hence the correction is taken to be negative.

How does the Temperature Correction Affect the Accuracy of Surveying measurements?

Temperature correction can significantly affect the accuracy of surveying measurements. Without temperature correction, the measurements can be off by a few millimetres or even centimeters, depending on the temperature difference. By applying temperature correction, surveyors can ensure that their measurements are accurate and reliable.

How to Calculate Sag Correction between Points of Support?

Sag Correction between Points of Support calculator uses Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2) to calculate the Sag Correction, The Sag Correction between Points of Support formula is defined as the correction required in an unsupported tape length's sag which forms a catenary between end supports. Sag Correction is denoted by Cs symbol.

How to calculate Sag Correction between Points of Support using this online calculator? To use this online calculator for Sag Correction between Points of Support, enter Weight of Tape per Unit Length (W), Unsupported Length (Ul) & Pull on Tape (P) and hit the calculate button. Here is how the Sag Correction between Points of Support calculation can be explained with given input values -> -12.014952 = -(3^2)*(9^3)/(24*8^2).

FAQ

What is Sag Correction between Points of Support?
The Sag Correction between Points of Support formula is defined as the correction required in an unsupported tape length's sag which forms a catenary between end supports and is represented as Cs = -(W^2)*(Ul^3)/(24*P^2) or Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^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 & Pull on Tape is the tension or pull applied to the tape in newtons (N).
How to calculate Sag Correction between Points of Support?
The Sag Correction between Points of Support formula is defined as the correction required in an unsupported tape length's sag which forms a catenary between end supports is calculated using Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2). To calculate Sag Correction between Points of Support, you need Weight of Tape per Unit Length (W), Unsupported Length (Ul) & Pull on Tape (P). With our tool, you need to enter the respective value for Weight of Tape per Unit Length, Unsupported Length & Pull on Tape 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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