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

✖Tension at midspan is the total tension acting in cable at midpoint.ⓘ Tension at Midspan [T_mid]			+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%
✖Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.ⓘ Uniformly Distributed Load [q]			+10% -10%

✖Cable Span is total length of cable in horizontal direction.ⓘ Span of Cable given Tension at Midspan for UDL on Parabolic Cable [L_span]

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

STEP 0: Pre-Calculation Summary

Formula Used

Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load)
L_span = sqrt(8*T_mid*d/q)
This formula uses 1 Functions, 4 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

Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
Tension at Midspan - (Measured in Newton) - Tension at midspan is the total tension acting in cable at midpoint.
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.
Uniformly Distributed Load - (Measured in Newton per Meter) - Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

STEP 1: Convert Input(s) to Base Unit

Tension at Midspan: 196 Kilonewton --> 196000 Newton (Check conversion here)
Maximum Sag: 1.44 Meter --> 1.44 Meter No Conversion Required
Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_span = sqrt(8*T_mid*d/q) --> sqrt(8*196000*1.44/10000)

Evaluating ... ...

L_span = 15.0263768087986

STEP 3: Convert Result to Output's Unit

15.0263768087986 Meter --> No Conversion Required

FINAL ANSWER

15.0263768087986 ≈ 15.02638 Meter <-- Cable Span

(Calculation completed in 00.004 seconds)

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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 given Tension at Midspan for UDL on Parabolic Cable Formula

LaTeX Go

Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load)
L_span = sqrt(8*T_mid*d/q)

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 given Tension at Midspan for UDL on Parabolic Cable?

Span of Cable given Tension at Midspan for UDL on Parabolic Cable calculator uses Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load) to calculate the Cable Span, The Span of Cable given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable. Cable Span is denoted by L_span symbol.

How to calculate Span of Cable given Tension at Midspan for UDL on Parabolic Cable using this online calculator? To use this online calculator for Span of Cable given Tension at Midspan for UDL on Parabolic Cable, enter Tension at Midspan (T_mid), Maximum Sag (d) & Uniformly Distributed Load (q) and hit the calculate button. Here is how the Span of Cable given Tension at Midspan for UDL on Parabolic Cable calculation can be explained with given input values -> 15.02638 = sqrt(8*196000*1.44/10000).

FAQ

What is Span of Cable given Tension at Midspan for UDL on Parabolic Cable?

The Span of Cable given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable and is represented as L_span = sqrt(8*T_mid*d/q) or Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load). Tension at midspan is the total tension acting in cable at midpoint, Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system & Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element.

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

The Span of Cable given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total projected horizontal length of cable is calculated using Cable Span = sqrt(8*Tension at Midspan*Maximum Sag/Uniformly Distributed Load). To calculate Span of Cable given Tension at Midspan for UDL on Parabolic Cable, you need Tension at Midspan (T_mid), Maximum Sag (d) & Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Tension at Midspan, Maximum Sag & Uniformly Distributed Load 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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