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

Category	Engineering ↺
Engineering	Civil ↺
Civil	Bridge and Suspension Cable ↺
Bridge-And-Suspension-Cable	General Relations for Suspension Cables ↺
General-Relations-For-Suspension-Cables	Catenary ↺

✖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%
✖Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length.ⓘ Uniformly Distributed Load [q]			+10% -10%

✖Cable Span is total length of cable in horizontal direction.ⓘ Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given [L]

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Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 400+ more calculators!

Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 500+ more calculators!

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

Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length

Deflection=(5*Uniformly Distributed Load*(Length^4))/(384*Modulus Of Elasticity*Area Moment of Inertia) GO

Condition for Maximum Moment in Interior Spans of Beams

Point of Maximum Moment=(Length/2)-(Maximum Bending Moment/(Uniformly Distributed Load*1000*Length)) 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

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

Tension at Midspan for UDL on Parabolic Cable

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

Fixed End Moment of a Fixed Beam having UDL over its entire Length

Fixed End Moment =(Uniformly Distributed Load*(Length^2))/12 GO

Bending Moment of a Cantilever Subject to UDL Over its Entire Span

Bending Moment =(-Uniformly Distributed Load*Length^2)/2 GO

Bending Moment of Simply Supported Beams with Uniformly Distributed Load

Bending Moment =(Uniformly Distributed Load*Length^2)/8 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

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

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

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

Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2))
L=sqrt(((T^2)-(H^2))/(q^2))

More formulas

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

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

Tension at Midspan when Tension at any Point of the Simple Cable with a UDL is Given GO

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

Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given calculator uses Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2)) to calculate the Cable Span, The Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given is defined as total projected horizontal length of cable. Cable Span and is denoted by L symbol.

How to calculate Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given using this online calculator? To use this online calculator for Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given, enter Tension at Supports (T), Midspan Tension (H) and Uniformly Distributed Load (q) and hit the calculate button. Here is how the Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given calculation can be explained with given input values -> 0.999999 = sqrt(((10000^2)-(10^2))/(10000^2)).

FAQ

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

The Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given is defined as total projected horizontal length of cable and is represented as L=sqrt(((T^2)-(H^2))/(q^2)) or Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2)). Tension at Supports is the tension due to loading on supports, Midspan Tension is the total tension acting in cable at midpoint and Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length.

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

The Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given is defined as total projected horizontal length of cable is calculated using Cable Span=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2)). To calculate Catenary Length when Tension at any Point of the Simple Cable with a UDL is Given, you need Tension at Supports (T), Midspan Tension (H) and Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Tension at Supports, Midspan Tension and 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 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=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/total 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(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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