Length of Cable for UDL on Parabolic Cable Calculator

✖Cable Span is total length of cable in horizontal direction.ⓘ Cable Span [L_span]			+10% -10%
✖Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.ⓘ Maximum Sag [d]			+10% -10%

✖Cable Length is the length measured along the catenary of cable.ⓘ Length of Cable for UDL on Parabolic Cable [S_cable]

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Formula

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Length of Cable for UDL on Parabolic Cable

Formula

`"S"_{"cable"} = "L"_{"span"}+(8*("d"^2)/(3*"L"_{"span"}))`

Example

`"15.36864m"="15m"+(8*(("1.44m")^2)/(3*"15m"))`

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Download Parabolic Cable Tension and Length Formulas PDF

Length of Cable for UDL on Parabolic Cable Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span))
S_cable = L_span+(8*(d^2)/(3*L_span))
This formula uses 3 Variables

Variables Used

Cable Length - (Measured in Meter) - Cable Length is the length measured along the catenary of cable.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
Maximum Sag - (Measured in Meter) - Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.

STEP 1: Convert Input(s) to Base Unit

Cable Span: 15 Meter --> 15 Meter No Conversion Required
Maximum Sag: 1.44 Meter --> 1.44 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_cable = L_span+(8*(d^2)/(3*L_span)) --> 15+(8*(1.44^2)/(3*15))

Evaluating ... ...

S_cable = 15.36864

STEP 3: Convert Result to Output's Unit

15.36864 Meter --> No Conversion Required

FINAL ANSWER

15.36864 Meter <-- Cable Length

(Calculation completed in 00.004 seconds)

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< 12 Parabolic Cable Tension and Length Calculators

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

Go Tension at Midspan = sqrt((Tension at Supports^2)-(((Uniformly Distributed Load*Cable Span)/2)^2))

UDL given Tension at Supports for UDL on Parabolic Cable

Go Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span

Tension at Supports for UDL on Parabolic Cable

Go Tension at Supports = sqrt((Tension at Midspan^2)+(Uniformly Distributed Load*Cable Span/2)^2)

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

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

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

Go Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL

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

Go Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load)

Parabolic Equation for Cable Slope

Go Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension)

Maximum Sag given Length of Cable for UDL on Parabolic Cable

Go Maximum Sag = sqrt((Cable Length-Cable Span)*(3/8)*Cable Span)

Tension at Midspan for UDL on Parabolic Cable

Go Tension at Midspan = (Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag)

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable

Go Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan)

Length of Cable for UDL on Parabolic Cable

Go Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span))

Allowable Stress for Compression Elements for Highway Bridges

Go Allowable Stress = 0.44*Yield Strength of Steel

Length of Cable for UDL on Parabolic Cable Formula

Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span))
S_cable = L_span+(8*(d^2)/(3*L_span))

What is Cable?

A cable is a thick wire, or a group of wires inside a rubber or plastic covering, which is used to carry electricity or electronic signals. Cable is used to refer to television systems in which the signals are sent along underground wires rather than by radio waves.

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

Length of Cable for UDL on Parabolic Cable calculator uses Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span)) to calculate 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 calculate Length of Cable for UDL on Parabolic Cable using this online calculator? To use this online calculator for Length of Cable for UDL on Parabolic Cable, enter Cable Span (L_span) & Maximum Sag (d) and hit the calculate button. Here is how the Length of Cable for UDL on Parabolic Cable calculation can be explained with given input values -> 15.36864 = 15+(8*(1.44^2)/(3*15)).

FAQ

What is Length of Cable for UDL on Parabolic Cable?

The Length of Cable for UDL on Parabolic Cable formula is defined as the total length of cable along its catenary and is represented as S_cable = L_span+(8*(d^2)/(3*L_span)) or Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span)). Cable Span is total length of cable in horizontal direction & Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.

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

The Length of Cable for UDL on Parabolic Cable formula is defined as the total length of cable along its catenary is calculated using Cable Length = Cable Span+(8*(Maximum Sag^2)/(3*Cable Span)). To calculate Length of Cable for UDL on Parabolic Cable, you need Cable Span (L_span) & Maximum Sag (d). With our tool, you need to enter the respective value for Cable Span & Maximum Sag and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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