Span Length given Horizontal Component of Cable Tension for UDL Calculator

✖Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.ⓘ Sag of Cable at Midway between Supports [f]			+10% -10%
✖Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.ⓘ Cable Tension for UDL [T_{cable udl}]			+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 Length given Horizontal Component of Cable Tension for UDL [L_span]

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Span Length given Horizontal Component of Cable Tension for UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load)
L_span = sqrt((8*f*T_{cable udl})/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.
Sag of Cable at Midway between Supports - (Measured in Meter) - Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.
Cable Tension for UDL - (Measured in Newton) - Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.
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

Sag of Cable at Midway between Supports: 5 Meter --> 5 Meter No Conversion Required
Cable Tension for UDL: 56.25 Kilonewton --> 56250 Newton (Check conversion here)
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*f*T_{cable udl})/q) --> sqrt((8*5*56250)/10000)

Evaluating ... ...

L_span = 15

STEP 3: Convert Result to Output's Unit

15 Meter --> No Conversion Required

FINAL ANSWER

15 Meter <-- Cable Span

(Calculation completed in 00.004 seconds)

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< Supports at Same Level Calculators

Span Length given Horizontal Component of Cable Tension for UDL

LaTeX Go Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load)

Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL

LaTeX Go Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL)

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

LaTeX Go Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2

Horizontal Component of Cable Tension for UDL

LaTeX Go Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports)

Span Length given Horizontal Component of Cable Tension for UDL Formula

LaTeX Go

Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load)
L_span = sqrt((8*f*T_{cable udl})/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 Length given Horizontal Component of Cable Tension for UDL?

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

How to calculate Span Length given Horizontal Component of Cable Tension for UDL using this online calculator? To use this online calculator for Span Length given Horizontal Component of Cable Tension for UDL, enter Sag of Cable at Midway between Supports (f), Cable Tension for UDL (T_{cable udl}) & Uniformly Distributed Load (q) and hit the calculate button. Here is how the Span Length given Horizontal Component of Cable Tension for UDL calculation can be explained with given input values -> 15 = sqrt((8*5*56250)/10000).

FAQ

What is Span Length given Horizontal Component of Cable Tension for UDL?

The Span Length given Horizontal Component of Cable Tension for UDL formula is defined as the total projected horizontal length of the cable and is represented as L_span = sqrt((8*f*T_{cable udl})/q) or Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load). Sag of Cable at Midway between Supports is vertical sag at midpoint of cable, Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable & 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 Length given Horizontal Component of Cable Tension for UDL?

The Span Length given Horizontal Component of Cable Tension for UDL formula is defined as the total projected horizontal length of the cable is calculated using Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load). To calculate Span Length given Horizontal Component of Cable Tension for UDL, you need Sag of Cable at Midway between Supports (f), Cable Tension for UDL (T_{cable udl}) & Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Sag of Cable at Midway between Supports, Cable Tension for UDL & Uniformly Distributed Load 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 Cable Span?

In this formula, Cable Span uses Sag of Cable at Midway between Supports, Cable Tension for UDL & Uniformly Distributed Load. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load

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