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

✖Tension at Supports is the tension due to loading on supports.ⓘ Tension at Supports [T_s]			+10% -10%
✖Midspan Tension is the total tension acting in cable at midpoint.ⓘ Midspan Tension [T_m]			+10% -10%
✖Total Udl is a load that is distributed or spread across the whole region of an element such as a beam or slab.ⓘ Total UDL [W]			+10% -10%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL
L_{cable_span} = (sqrt((T_s^2)-(T_m^2))*2)/W
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

Length of Cable Span - (Measured in Meter) - Length of cable span is total length of cable in horizontal direction.
Tension at Supports - (Measured in Newton) - Tension at Supports is the tension due to loading on supports.
Midspan Tension - (Measured in Newton) - Midspan Tension is the total tension acting in cable at midpoint.
Total UDL - (Measured in Newton) - Total Udl is a load that is distributed or spread across the whole region of an element such as a beam or slab.

STEP 1: Convert Input(s) to Base Unit

Tension at Supports: 210 Kilonewton --> 210000 Newton (Check conversion here)
Midspan Tension: 4 Kilonewton --> 4000 Newton (Check conversion here)
Total UDL: 50 Kilonewton --> 50000 Newton (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_{cable_span} = (sqrt((T_s^2)-(T_m^2))*2)/W --> (sqrt((210000^2)-(4000^2))*2)/50000

Evaluating ... ...

L_{cable_span} = 8.3984760522371

STEP 3: Convert Result to Output's Unit

8.3984760522371 Meter --> No Conversion Required

FINAL ANSWER

8.3984760522371 ≈ 8.398476 Meter <-- Length of 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 Supports for UDL on Parabolic Cable Formula

LaTeX Go

Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL
L_{cable_span} = (sqrt((T_s^2)-(T_m^2))*2)/W

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 Supports for UDL on Parabolic Cable?

Span of Cable given Tension at Supports for UDL on Parabolic Cable calculator uses Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL to calculate the Length of Cable Span, The Span of Cable given Tension at Supports for UDL on Parabolic Cable 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 given Tension at Supports for UDL on Parabolic Cable using this online calculator? To use this online calculator for Span of Cable given Tension at Supports for UDL on Parabolic Cable, enter Tension at Supports (T_s), Midspan Tension (T_m) & Total UDL (W) and hit the calculate button. Here is how the Span of Cable given Tension at Supports for UDL on Parabolic Cable calculation can be explained with given input values -> 8.398476 = (sqrt((210000^2)-(4000^2))*2)/50000.

FAQ

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

The Span of Cable given Tension at Supports for UDL on Parabolic Cable is defined as the total projected horizontal length of cable and is represented as L_{cable_span} = (sqrt((T_s^2)-(T_m^2))*2)/W or Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL. Tension at Supports is the tension due to loading on supports, Midspan Tension is the total tension acting in cable at midpoint & Total Udl is a load that is distributed or spread across the whole region of an element such as a beam or slab.

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

The Span of Cable given Tension at Supports for UDL on Parabolic Cable is defined as the total projected horizontal length of cable is calculated using Length of Cable Span = (sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Total UDL. To calculate Span of Cable given Tension at Supports for UDL on Parabolic Cable, you need Tension at Supports (T_s), Midspan Tension (T_m) & Total UDL (W). With our tool, you need to enter the respective value for Tension at Supports, Midspan Tension & Total UDL 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 Tension at Supports, Midspan Tension & Total UDL. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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