FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Unsupported Tape Length given Sag Correction between Points of Support Formula

Fx Copy

LaTeX Copy

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

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

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

Unsupported Tape Length given Sag Correction between Points of Support Example

With values

With units

Only example

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

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

Here is how the Unsupported Tape Length given Sag Correction between Points of Support equation looks like.

8.9997 = {(\frac{24 \cdot 4.271 \cdot 8^{2}}{3^{2}})}^{\frac{1}{3}}

8.9997m = {(\frac{24 \cdot 4.271m \cdot {8N}^{2}}{{3kg/m}^{2}})}^{\frac{1}{3}}

8.9997 = {(\frac{24 \cdot 4.271 \cdot 8^{2}}{3^{2}})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Surveying Formulas » fx Unsupported Tape Length given Sag Correction between Points of Support

Unsupported Tape Length given Sag Correction between Points of Support Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U l = {(\frac{24 \cdot 4.271m \cdot {8N}^{2}}{{3kg/m}^{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

U l = {(\frac{24 \cdot 4.271 \cdot 8^{2}}{3^{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

U l = 8.99965979509633m

LAST Step Rounding Answer

∴

U l = 8.9997m

Unsupported Tape Length given Sag Correction between Points of Support Formula Elements

Variables

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

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

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

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

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 Sag Correction between Points of Support

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

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 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 Unsupported Tape Length given Sag Correction between Points of Support?

Unsupported Tape Length given Sag Correction between Points of Support evaluator uses Unsupported Length = ((24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3) to evaluate the Unsupported Length, The Unsupported Tape Length given Sag Correction Between Points of Support formula is defined as the length between the two ends of the catenary in meters or feet. Unsupported Length is denoted by U_l symbol.

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

FAQs on Unsupported Tape Length given Sag Correction between Points of Support

What is the formula to find Unsupported Tape Length given Sag Correction between Points of Support?

The formula of Unsupported Tape Length given Sag Correction between Points of Support is expressed as Unsupported Length = ((24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3). Here is an example- 8.99966 = ((24*4.271*8^2)/(3^2))^(1/3).

How to calculate Unsupported Tape Length given Sag Correction between Points of Support?

With Sag Correction (C_s), Pull on Tape (P) & Weight of Tape per Unit Length (W) we can find Unsupported Tape Length given Sag Correction between Points of Support using the formula - Unsupported Length = ((24*Sag Correction*Pull on Tape^2)/(Weight of Tape per Unit Length^2))^(1/3).

Can the Unsupported Tape Length given Sag Correction between Points of Support be negative?

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

Which unit is used to measure Unsupported Tape Length given Sag Correction between Points of Support?

Unsupported Tape Length given 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 Unsupported Tape Length given Sag Correction between Points of Support can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!