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

✖Length of Cable is the length of tendon used for prestressing in the concrete section.ⓘ Length of Cable [L]			+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%

✖Length of cable span is total length of cable in horizontal direction.ⓘ Span of Cable for Length of Cable for UDL on Parabolic Cable [L_{cable_span}]

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Formula

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

Formula

`"L"_{"cable_span"} = 1.5*"L"-sqrt((2.25*"L"^2)-8*("d"^2))`

Example

`"0.110674m"=1.5*"50m"-sqrt((2.25*("50m")^2)-8*(("1.44m")^2))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cable Span = 1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2))
L_{cable_span} = 1.5*L-sqrt((2.25*L^2)-8*(d^2))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Length of Cable Span - (Measured in Meter) - Length of cable span is total length of cable in horizontal direction.
Length of Cable - (Measured in Meter) - Length of Cable is the length of tendon used for prestressing in the concrete section.
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

Length of Cable: 50 Meter --> 50 Meter No Conversion Required
Maximum Sag: 1.44 Meter --> 1.44 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_{cable_span} = 1.5*L-sqrt((2.25*L^2)-8*(d^2)) --> 1.5*50-sqrt((2.25*50^2)-8*(1.44^2))

Evaluating ... ...

L_{cable_span} = 0.110673657723424

STEP 3: Convert Result to Output's Unit

0.110673657723424 Meter --> No Conversion Required

FINAL ANSWER

0.110673657723424 ≈ 0.110674 Meter <-- Length of Cable Span

(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

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

Length of Cable Span = 1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2))
L_{cable_span} = 1.5*L-sqrt((2.25*L^2)-8*(d^2))

What is Cable Span?

Cable Span is the aerial distance between two poles or towers, meaning the physical resistance of the jacket to support its own weight.

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

Span of Cable for Length of Cable for UDL on Parabolic Cable calculator uses Length of Cable Span = 1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2)) to calculate the Length of Cable Span, The Span of Cable for Length of Cable for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable. Length of Cable Span is denoted by L_{cable_span} symbol.

How to calculate Span of Cable for Length of Cable for UDL on Parabolic Cable using this online calculator? To use this online calculator for Span of Cable for Length of Cable for UDL on Parabolic Cable, enter Length of Cable (L) & Maximum Sag (d) and hit the calculate button. Here is how the Span of Cable for Length of Cable for UDL on Parabolic Cable calculation can be explained with given input values -> 0.110674 = 1.5*50-sqrt((2.25*50^2)-8*(1.44^2)).

FAQ

What is Span of Cable for Length of Cable for UDL on Parabolic Cable?

The Span of Cable for Length of Cable for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable and is represented as L_{cable_span} = 1.5*L-sqrt((2.25*L^2)-8*(d^2)) or Length of Cable Span = 1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2)). Length of Cable is the length of tendon used for prestressing in the concrete section & Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.

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

The Span of Cable for Length of Cable for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable is calculated using Length of Cable Span = 1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2)). To calculate Span of Cable for Length of Cable for UDL on Parabolic Cable, you need Length of Cable (L) & Maximum Sag (d). With our tool, you need to enter the respective value for Length of Cable & Maximum Sag and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Cable Span?

In this formula, Length of Cable Span uses Length of Cable & Maximum Sag. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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