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Span of Cable given Tension at Midspan for UDL on Parabolic Cable Formula

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Cable Span is total length of cable in horizontal direction. Check FAQs

L span = \sqrt{8 \cdot T mid \cdot \frac{d}{q}}

L_span - Cable Span?T_mid - Tension at Midspan?d - Maximum Sag?q - Uniformly Distributed Load?

Span of Cable given Tension at Midspan for UDL on Parabolic Cable Example

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Here is how the Span of Cable given Tension at Midspan for UDL on Parabolic Cable equation looks like with Values.

Here is how the Span of Cable given Tension at Midspan for UDL on Parabolic Cable equation looks like with Units.

Here is how the Span of Cable given Tension at Midspan for UDL on Parabolic Cable equation looks like.

15.0264 = \sqrt{8 \cdot 196 \cdot \frac{1.44}{10}}

15.0264m = \sqrt{8 \cdot 196kN \cdot \frac{1.44m}{10kN/m}}

15.0264 = \sqrt{8 \cdot 196 \cdot \frac{1.44}{10}}

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Span of Cable given Tension at Midspan for UDL on Parabolic Cable Solution

Follow our step by step solution on how to calculate Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

FIRST Step Consider the formula

L span = \sqrt{8 \cdot T mid \cdot \frac{d}{q}}

Next Step Substitute values of Variables

∴

L span = \sqrt{8 \cdot 196kN \cdot \frac{1.44m}{10kN/m}}

Next Step Convert Units

∴

L span = \sqrt{8 \cdot 196000N \cdot \frac{1.44m}{10000N/m}}

Next Step Prepare to Evaluate

∴

L span = \sqrt{8 \cdot 196000 \cdot \frac{1.44}{10000}}

Next Step Evaluate

∴

L span = 15.0263768087986m

LAST Step Rounding Answer

∴

L span = 15.0264m

Span of Cable given Tension at Midspan for UDL on Parabolic Cable Formula Elements

Variables

Functions

Cable Span

Cable Span is total length of cable in horizontal direction.

Symbol: L_span

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Span

Tension at Midspan

Tension at midspan is the total tension acting in cable at midpoint.

Symbol: T_mid

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Midspan

Maximum Sag

Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Sag

Uniformly Distributed Load

Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Distributed Load

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Parabolic Cable Tension and Length category

Go Maximum Sag given Tension at Midspan for UDL on Parabolic Cable

d = q \cdot \frac{{L span}^{2}}{8 \cdot T mid}

Go Tension at Supports for UDL on Parabolic Cable

T s = \sqrt{({T mid}^{2}) + {(q \cdot \frac{L span}{2})}^{2}}

Go Tension at Midspan given Tension at Supports for UDL on Parabolic Cable

T mid = \sqrt{({T s}^{2}) - ({(\frac{q \cdot L span}{2})}^{2})}

Go UDL given Tension at Supports for UDL on Parabolic Cable

q = \frac{\sqrt{({T s}^{2}) - ({T mid}^{2})} \cdot 2}{L span}

How to Evaluate Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

Span of Cable given Tension at Midspan for UDL on Parabolic Cable evaluator uses Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load) to evaluate the Cable Span, The Span of Cable given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable. Cable Span is denoted by L_span symbol.

How to evaluate Span of Cable given Tension at Midspan for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for Span of Cable given Tension at Midspan for UDL on Parabolic Cable, enter Tension at Midspan (T_mid), Maximum Sag (d) & Uniformly Distributed Load (q) and hit the calculate button.

FAQs on Span of Cable given Tension at Midspan for UDL on Parabolic Cable

What is the formula to find Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

The formula of Span of Cable given Tension at Midspan for UDL on Parabolic Cable is expressed as Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load). Here is an example- 15.02638 = sqrt(8*196000*1.44/10000).

How to calculate Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

With Tension at Midspan (T_mid), Maximum Sag (d) & Uniformly Distributed Load (q) we can find Span of Cable given Tension at Midspan for UDL on Parabolic Cable using the formula - Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load). This formula also uses Square Root Function function(s).

Can the Span of Cable given Tension at Midspan for UDL on Parabolic Cable be negative?

No, the Span of Cable given Tension at Midspan for UDL on Parabolic Cable, measured in Length cannot be negative.

Which unit is used to measure Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

Span of Cable given Tension at Midspan for UDL on Parabolic Cable is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Span of Cable given Tension at Midspan for UDL on Parabolic Cable can be measured.

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Span of Cable given Tension at Midspan for UDL on Parabolic Cable Formula

Span of Cable given Tension at Midspan for UDL on Parabolic Cable Example

Span of Cable given Tension at Midspan for UDL on Parabolic Cable Solution

Span of Cable given Tension at Midspan for UDL on Parabolic Cable Formula Elements

Other formulas in Parabolic Cable Tension and Length category

How to Evaluate Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

FAQs on Span of Cable given Tension at Midspan for UDL on Parabolic Cable

Variable Name