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

GoSpan of Cable for Length of Cable for UDL on Parabolic Cable Formula

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Length of cable span is total length of cable in horizontal direction. Check FAQs

L cable_span = \frac{\sqrt{({T s}^{2}) - ({T m}^{2})} \cdot 2}{W}

L_{cable_span} - Length of Cable Span?T_s - Tension at Supports?T_m - Midspan Tension?W - Total UDL?

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

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

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

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

8.3985 = \frac{\sqrt{(210^{2}) - (4^{2})} \cdot 2}{50}

8.3985m = \frac{\sqrt{({210kN}^{2}) - ({4kN}^{2})} \cdot 2}{50kN}

8.3985 = \frac{\sqrt{(210^{2}) - (4^{2})} \cdot 2}{50}

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Bridge and Suspension Cable » fx Span of Cable given Tension at Supports for UDL on Parabolic Cable

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

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

FIRST Step Consider the formula

L cable_span = \frac{\sqrt{({T s}^{2}) - ({T m}^{2})} \cdot 2}{W}

Next Step Substitute values of Variables

∴

L cable_span = \frac{\sqrt{({210kN}^{2}) - ({4kN}^{2})} \cdot 2}{50kN}

Next Step Convert Units

∴

L cable_span = \frac{\sqrt{({210000N}^{2}) - ({4000N}^{2})} \cdot 2}{50000N}

Next Step Prepare to Evaluate

∴

L cable_span = \frac{\sqrt{(210000^{2}) - (4000^{2})} \cdot 2}{50000}

Next Step Evaluate

∴

L cable_span = 8.3984760522371m

LAST Step Rounding Answer

∴

L cable_span = 8.3985m

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

Variables

Functions

Length of Cable Span

Length of cable span is total length of cable in horizontal direction.

Symbol: L_{cable_span}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cable Span

Tension at Supports

Tension at Supports is the tension due to loading on supports.

Symbol: T_s

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Supports

Midspan Tension

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

Symbol: T_m

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Midspan Tension

Total UDL

Total Udl is a load that is distributed or spread across the whole region of an element such as a beam or slab.

Symbol: W

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Total UDL

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 to find Length of Cable Span

Go Span of Cable for Length of Cable for UDL on Parabolic Cable

L cable_span = 1.5 \cdot L - \sqrt{(2.25 \cdot L^{2}) - 8 \cdot (d^{2})}

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 Supports for UDL on Parabolic Cable?

Span of Cable given Tension at Supports for UDL on Parabolic Cable evaluator uses Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL to evaluate the Length of Cable Span, The Span of Cable given Tension at Supports for UDL on Parabolic Cable is defined as the total projected horizontal length of cable. Length of Cable Span is denoted by L_{cable_span} symbol.

How to evaluate Span of Cable given Tension at Supports for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for Span of Cable given Tension at Supports for UDL on Parabolic Cable, enter Tension at Supports (T_s), Midspan Tension (T_m) & Total UDL (W) and hit the calculate button.

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

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

The formula of Span of Cable given Tension at Supports for UDL on Parabolic Cable is expressed as Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL. Here is an example- 8.398476 = (sqrt((210000^2)-(4000^2))*2)/50000.

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

With Tension at Supports (T_s), Midspan Tension (T_m) & Total UDL (W) we can find Span of Cable given Tension at Supports for UDL on Parabolic Cable using the formula - Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Cable Span?

Here are the different ways to Calculate Length of Cable Span-

Length of Cable Span=1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2))

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

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

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

Span of Cable given Tension at Supports 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 Supports for UDL on Parabolic Cable can be measured.

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

​GoSpan of Cable for Length of Cable for UDL on Parabolic Cable Formula

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

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

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

Other Formulas to find Length of Cable Span

Other formulas in Parabolic Cable Tension and Length category

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

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

Variable Name

GoSpan of Cable for Length of Cable for UDL on Parabolic Cable Formula