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))
Lcable_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
Lcable_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 ... ...
Lcable_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)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Parabolic Cable Tension and Length Calculators

Tension at Midspan given Tension at Supports for UDL on Parabolic Cable
​ LaTeX ​ 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
​ LaTeX ​ Go Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span
Tension at Supports for UDL on Parabolic Cable
​ LaTeX ​ Go Tension at Supports = sqrt((Tension at Midspan^2)+(Uniformly Distributed Load*Cable Span/2)^2)
Maximum Sag given Tension at Midspan for UDL on Parabolic Cable
​ LaTeX ​ Go Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan)

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

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