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Sag Correction between Points of Support Formula

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Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems. Check FAQs

C s = - (W^{2}) \cdot \frac{{U l}^{3}}{24 \cdot P^{2}}

C_s - Sag Correction?W - Weight of Tape per Unit Length?U_l - Unsupported Length?P - Pull on Tape?

Sag Correction between Points of Support Example

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With units

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Here is how the Sag Correction between Points of Support equation looks like with Values.

Here is how the Sag Correction between Points of Support equation looks like with Units.

Here is how the Sag Correction between Points of Support equation looks like.

-4.2715 = - (3^{2}) \cdot \frac{9^{3}}{24 \cdot 8^{2}}

-4.2715m = - ({3kg/m}^{2}) \cdot \frac{{9m}^{3}}{24 \cdot {8N}^{2}}

-4.2715 = - (3^{2}) \cdot \frac{9^{3}}{24 \cdot 8^{2}}

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Sag Correction between Points of Support Solution

Follow our step by step solution on how to calculate Sag Correction between Points of Support?

FIRST Step Consider the formula

C s = - (W^{2}) \cdot \frac{{U l}^{3}}{24 \cdot P^{2}}

Next Step Substitute values of Variables

∴

C s = - ({3kg/m}^{2}) \cdot \frac{{9m}^{3}}{24 \cdot {8N}^{2}}

Next Step Prepare to Evaluate

∴

C s = - (3^{2}) \cdot \frac{9^{3}}{24 \cdot 8^{2}}

Next Step Evaluate

∴

C s = -4.271484375m

LAST Step Rounding Answer

∴

C s = -4.2715m

Sag Correction between Points of Support Formula Elements

Variables

Sag Correction

Sag Correction is the adjustment of optical elements to counteract deformation, maintaining proper shape for optimal performance in imaging systems.

Symbol: C_s

Measurement: LengthUnit: m

Note: Value should be between -10 to 10.

Formulas to find Sag Correction

Weight of Tape per Unit Length

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.

Symbol: W

Measurement: Linear Mass DensityUnit: kg/m

Note: Value can be positive or negative.

Formulas to find Weight of Tape per Unit Length

Unsupported Length

Unsupported Length is the span or distance between supports or points of restraint for a structural member, such as a beam or a column.

Symbol: U_l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Unsupported Length

Pull on Tape

Pull on Tape is the tension or pull applied to the tape in newtons (N).

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Pull on Tape

Other formulas in Temperature Corrections category

Go Temperature Corrections for Incorrect Tape Length

C temp = \frac{(L a - A o) \cdot U l}{A o}

Go Tape Weight per Foot for Sag Correction between Points of Support

W = \sqrt{\frac{C s \cdot 24 \cdot P^{2}}{{U l}^{3}}}

Go Unsupported Tape Length given Sag Correction between Points of Support

U l = {(\frac{24 \cdot C s \cdot P^{2}}{W^{2}})}^{\frac{1}{3}}

Go Pull-on Tape given Sag Correction between Points of Support

P = \sqrt{\frac{- W^{2} \cdot {U l}^{3}}{24 \cdot C s}}

How to Evaluate Sag Correction between Points of Support?

Sag Correction between Points of Support evaluator uses Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2) to evaluate 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 C_s symbol.

How to evaluate Sag Correction between Points of Support using this online evaluator? To use this online evaluator for Sag Correction between Points of Support, enter Weight of Tape per Unit Length (W), Unsupported Length (U_l) & Pull on Tape (P) and hit the calculate button.

FAQs on Sag Correction between Points of Support

What is the formula to find Sag Correction between Points of Support?

The formula of Sag Correction between Points of Support is expressed as Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2). Here is an example- -12.014952 = -(3^2)*(9^3)/(24*8^2).

How to calculate Sag Correction between Points of Support?

With Weight of Tape per Unit Length (W), Unsupported Length (U_l) & Pull on Tape (P) we can find Sag Correction between Points of Support using the formula - Sag Correction = -(Weight of Tape per Unit Length^2)*(Unsupported Length^3)/(24*Pull on Tape^2).

Can the Sag Correction between Points of Support be negative?

Yes, the Sag Correction between Points of Support, measured in Length can be negative.

Which unit is used to measure Sag Correction between Points of Support?

Sag Correction between Points of Support is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Sag Correction between Points of Support can be measured.

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