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Length of Cable for UDL on Parabolic Cable Formula

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Cable Length is the length measured along the catenary of cable. Check FAQs

S cable = L span + (8 \cdot \frac{d^{2}}{3 \cdot L span})

S_cable - Cable Length?L_span - Cable Span?d - Maximum Sag?

Length of Cable for UDL on Parabolic Cable Example

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Here is how the Length of Cable for UDL on Parabolic Cable equation looks like with Values.

Here is how the Length of Cable for UDL on Parabolic Cable equation looks like with Units.

Here is how the Length of Cable for UDL on Parabolic Cable equation looks like.

15.3686 = 15 + (8 \cdot \frac{{1.44}^{2}}{3 \cdot 15})

15.3686m = 15m + (8 \cdot \frac{{1.44m}^{2}}{3 \cdot 15m})

15.3686 = 15 + (8 \cdot \frac{{1.44}^{2}}{3 \cdot 15})

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Bridge and Suspension Cable » fx Length of Cable for UDL on Parabolic Cable

Length of Cable for UDL on Parabolic Cable Solution

Follow our step by step solution on how to calculate Length of Cable for UDL on Parabolic Cable?

FIRST Step Consider the formula

S cable = L span + (8 \cdot \frac{d^{2}}{3 \cdot L span})

Next Step Substitute values of Variables

∴

S cable = 15m + (8 \cdot \frac{{1.44m}^{2}}{3 \cdot 15m})

Next Step Prepare to Evaluate

∴

S cable = 15 + (8 \cdot \frac{{1.44}^{2}}{3 \cdot 15})

Next Step Evaluate

∴

S cable = 15.36864m

LAST Step Rounding Answer

∴

S cable = 15.3686m

Length of Cable for UDL on Parabolic Cable Formula Elements

Variables

Cable Length

Cable Length is the length measured along the catenary of cable.

Symbol: S_cable

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Length

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

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

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 Length of Cable for UDL on Parabolic Cable?

Length of Cable for UDL on Parabolic Cable evaluator uses Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span)) to evaluate the Cable Length, The Length of Cable for UDL on Parabolic Cable formula is defined as the total length of cable along its catenary. Cable Length is denoted by S_cable symbol.

How to evaluate Length of Cable for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for Length of Cable for UDL on Parabolic Cable, enter Cable Span (L_span) & Maximum Sag (d) and hit the calculate button.

FAQs on Length of Cable for UDL on Parabolic Cable

What is the formula to find Length of Cable for UDL on Parabolic Cable?

The formula of Length of Cable for UDL on Parabolic Cable is expressed as Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span)). Here is an example- 15.36864 = 15+(8*(1.44^2)/(3*15)).

How to calculate Length of Cable for UDL on Parabolic Cable?

With Cable Span (L_span) & Maximum Sag (d) we can find Length of Cable for UDL on Parabolic Cable using the formula - Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span)).

Can the Length of Cable for UDL on Parabolic Cable be negative?

No, the Length of Cable for UDL on Parabolic Cable, measured in Length cannot be negative.

Which unit is used to measure Length of Cable for UDL on Parabolic Cable?

Length of Cable 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 Length of Cable for UDL on Parabolic Cable can be measured.

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Length of Cable for UDL on Parabolic Cable Formula

Length of Cable for UDL on Parabolic Cable Example

Length of Cable for UDL on Parabolic Cable Solution

Length of Cable for UDL on Parabolic Cable Formula Elements

Other formulas in Parabolic Cable Tension and Length category

How to Evaluate Length of Cable for UDL on Parabolic Cable?

FAQs on Length of Cable for UDL on Parabolic Cable

Variable Name