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)
Lspan = sqrt((8*f*Tcable 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
Lspan = sqrt((8*f*Tcable udl)/q) --> sqrt((8*5*56250)/10000)
Evaluating ... ...
Lspan = 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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10+ Supports at Same Level Calculators

Sag of Cable at Midway between supports given Maximum Reactions at Supports
Go Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1))
UDL given Maximum Reactions at Supports
Go Uniformly Distributed Load = Maximum Value of Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))))
Maximum Reactions at Supports
Go Maximum Value of Tension = (Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2)))
Span Length given Horizontal Component of Cable Tension for UDL
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
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
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
Go Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports)
Span Length given Vertical Reaction at Supports
Go Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load
UDL given Vertical Reaction at Supports
Go Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span
Vertical Reaction at Supports
Go Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2

Span Length given Horizontal Component of Cable Tension for UDL Formula

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