Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given Calculator

Category	Engineering ↺
Engineering	Civil ↺
Civil	Bridge and Suspension Cable ↺
Bridge-And-Suspension-Cable	Suspension Cables ↺
Suspension-Cables	Parabolic Cable Tension and Length ↺

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

✖Cable Span is total length of cable in horizontal direction.ⓘ Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given [L]

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Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 300+ more calculators!

Himanshi Sharma

Bhilai Institute of Technology (BIT), Raipur

Himanshi Sharma has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Parabolic Equation for the Cable Slope

Parabolic Equation of Cable Slope=Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension) GO

Modified Total End Shear for Uniform Loading

Modified Total End Shear=total uniformly distributed load*(1-(2*Depth of the Beam/span of beam))/2 GO

Tension at Supports for UDL on Parabolic Cable is Given

Tension at Supports=sqrt((Midspan Tension^2)+(Uniformly Distributed Load*Length of Cable/2)^2) GO

Tension at Midspan when Tension at Supports for UDL on Parabolic Cable is Given

Midspan Tension=sqrt((Tension at Supports^2)-(((Uniformly Distributed Load*Cable Span)/2)^2)) GO

UDL when Tension at Supports for UDL on Parabolic Cable is Given

Uniformly Distributed Load=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Cable Span GO

Maximum Sag when Catenary Parameter for UDL on Catenary Parabolic Cable is Given

Maximum Sag=(-Catenary Parameter)+(Tension at Supports/Uniformly Distributed Load) GO

UDL when Catenary Parameter for UDL on Catenary Parabolic Cable is Given

Uniformly Distributed Load=Tension at Supports/(Maximum Sag+Catenary Parameter) GO

Catenary Parameter for UDL on Catenary Parabolic Cable

Catenary Parameter=(Tension at Supports/Uniformly Distributed Load)-Maximum Sag GO

Maximum Sag when Tension at Midspan for UDL on Parabolic Cable is Given

Maximum Sag=Uniformly Distributed Load*(Length of Cable^2)/(8*Midspan Tension) GO

UDL when Tension at Midspan for UDL on Parabolic Cable is Given

Uniformly Distributed Load=8*Midspan Tension*Maximum Sag/(Length of Cable^2) GO

Span of Cable when Tension at Midspan for UDL on Parabolic Cable is Given

Cable Span=sqrt(8*Midspan Tension*Maximum Sag/Uniformly Distributed Load) GO

< 8 Other formulas that calculate the same Output

Catenary Length measured from the Low Point of the Simple Cable with a UDL

Cable Span=(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Distance from Midpoint of Cable/Midspan Tension) GO

Span of Cable when Natural frequency of each Cable is Given

Cable Span=(Fundamental Vibration Mode*pi/Natural frequency)*sqrt(Maximum Tension/[g]*Uniformly Distributed Load) GO

Span Length when Horizontal Component of Cable Tension for UDL is Given

Cable Span=sqrt(8*Sag of Cable at Midway between Supports*Midspan Tension)/Uniformly Distributed Load GO

Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given

Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2)) GO

Span of Cable when Length of Cable for UDL on Parabolic Cable is Given

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

Span of Cable when Tension at Midspan for UDL on Parabolic Cable is Given

Cable Span=sqrt(8*Midspan Tension*Maximum Sag/Uniformly Distributed Load) GO

Span Length when Vertical Reaction at Supports is Given

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

Span of Cable when Catenary Parameter for UDL on Catenary Parabolic Cable is Given

Cable Span=2*Catenary Parameter GO

Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given Formula

Cable Span=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total uniformly distributed load
L=(sqrt((T^2)-(H^2))*2)/W

More formulas

Allowable Stress for Compression Elements for Highway Bridges GO

Tension at Midspan for UDL on Parabolic Cable GO

Span of Cable when Tension at Midspan for UDL on Parabolic Cable is Given GO

Maximum Sag when Tension at Midspan for UDL on Parabolic Cable is Given GO

Tension at Supports for UDL on Parabolic Cable is Given GO

Tension at Midspan when Tension at Supports for UDL on Parabolic Cable is Given GO

UDL when Tension at Supports for UDL on Parabolic Cable is Given GO

Length of Cable for UDL on Parabolic Cable is Given GO

Span of Cable when Length of Cable for UDL on Parabolic Cable is Given GO

Maximum Sag when Length of Cable for UDL on Parabolic Cable is Given GO

Parabolic Equation for the Cable Slope GO

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 when Tension at Supports for UDL on Parabolic Cable is Given?

Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given calculator uses Cable Span=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total uniformly distributed load to calculate the Cable Span, The Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given is defined as the total projected horizontal length of cable. Cable Span and is denoted by L symbol.

How to calculate Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given using this online calculator? To use this online calculator for Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given, enter Tension at Supports (T), Midspan Tension (H) and total uniformly distributed load (W) and hit the calculate button. Here is how the Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given calculation can be explained with given input values -> 19999.99 = (sqrt((10000^2)-(10^2))*2)/1.

FAQ

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

The Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given is defined as the total projected horizontal length of cable and is represented as L=(sqrt((T^2)-(H^2))*2)/W or Cable Span=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total uniformly distributed load. Tension at Supports is the tension due to loading on supports, Midspan Tension is the total tension acting in cable at midpoint and total uniformly distributed load 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 when Tension at Supports for UDL on Parabolic Cable is Given?

The Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given is defined as the total projected horizontal length of cable is calculated using Cable Span=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total uniformly distributed load. To calculate Span of Cable when Tension at Supports for UDL on Parabolic Cable is Given, you need Tension at Supports (T), Midspan Tension (H) and total uniformly distributed load (W). With our tool, you need to enter the respective value for Tension at Supports, Midspan Tension and total 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 Tension at Supports, Midspan Tension and total uniformly distributed load. We can use 8 other way(s) to calculate the same, which is/are as follows -

Cable Span=sqrt(8*Midspan Tension*Maximum Sag/Uniformly Distributed Load)
Cable Span=1.5*Length of Cable-sqrt((2.25*Length of Cable^2)-8*(Maximum Sag^2))
Cable Span=2*Catenary Parameter
Cable Span=(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Distance from Midpoint of Cable/Midspan Tension)
Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2))
Cable Span=sqrt(8*Sag of Cable at Midway between Supports*Midspan Tension)/Uniformly Distributed Load
Cable Span=Vertical Reaction at Supports*2/Uniformly Distributed Load
Cable Span=(Fundamental Vibration Mode*pi/Natural frequency)*sqrt(Maximum Tension/[g]*Uniformly Distributed Load)

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