Length of cable between Supports Calculator

Category	Engineering ↺
Engineering	Civil ↺
Civil	Bridge and Suspension Cable ↺
Bridge-And-Suspension-Cable	General Relations for Suspension Cables ↺
General-Relations-For-Suspension-Cables	Supports at Same Level ↺

✖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.ⓘ Cable Span [L]			+10% -10%
✖Midspan Tension is the total tension acting in cable at midpoint.ⓘ Midspan Tension [H]			+10% -10%

✖Length of Cable is the length measured along the catenary of cable.ⓘ Length of cable between Supports [S]

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Length of cable between Supports

Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 200+ 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

< 1 Other formulas that calculate the same Output

Length of Cable for UDL on Parabolic Cable is Given

Length of Cable=Cable Span+8*(Maximum Sag^2)/(3*Cable Span) GO

Length of cable between Supports Formula

Length of Cable=0.5*sqrt(1+((Uniformly Distributed Load*Cable Span/2*Midspan Tension)^2))+(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Cable Span/2*Midspan Tension)
S=0.5*sqrt(1+((q*L/2*H)^2))+(H/q)*sinh(q*L/2*H)

More formulas

Horizontal Component of Cable Tension for UDL GO

UDL when Horizontal Component of Cable Tension for UDL is Given GO

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

Sag of Cable at midway between supports when Horizontal Component of Cable Tension for UDL is Given GO

Vertical Reaction at Supports GO

UDL when Vertical Reaction at Supports is Given GO

Span Length when Vertical Reaction at Supports is Given GO

Maximum Reactions at Supports GO

UDL when Maximum Reactions at Supports is Given GO

Sag of Cable at midway between supports when Maximum Reactions at Supports is Given GO

What is Cable ?

Cables are flexible structures that support the applied transverse loads by the tensile resistance developed in its members. Cables are used in suspension bridges, tension leg offshore platforms, transmission lines, and several other engineering applications.

How to Calculate Length of cable between Supports?

Length of cable between Supports calculator uses Length of Cable=0.5*sqrt(1+((Uniformly Distributed Load*Cable Span/2*Midspan Tension)^2))+(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Cable Span/2*Midspan Tension) to calculate the Length of Cable, The Length of cable between Supports is defined as total length of cable measured along the perimeter or curve of the cable. Length of Cable and is denoted by S symbol.

How to calculate Length of cable between Supports using this online calculator? To use this online calculator for Length of cable between Supports, enter Uniformly Distributed Load (q), Cable Span (L) and Midspan Tension (H) and hit the calculate button. Here is how the Length of cable between Supports calculation can be explained with given input values -> ∞ = 0.5*sqrt(1+((10000*10/2*10)^2))+(10/10000)*sinh(10000*10/2*10).

FAQ

What is Length of cable between Supports?

The Length of cable between Supports is defined as total length of cable measured along the perimeter or curve of the cable and is represented as S=0.5*sqrt(1+((q*L/2*H)^2))+(H/q)*sinh(q*L/2*H) or Length of Cable=0.5*sqrt(1+((Uniformly Distributed Load*Cable Span/2*Midspan Tension)^2))+(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Cable Span/2*Midspan Tension). Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length, Cable Span is total length of cable in horizontal direction and Midspan Tension is the total tension acting in cable at midpoint.

How to calculate Length of cable between Supports?

The Length of cable between Supports is defined as total length of cable measured along the perimeter or curve of the cable is calculated using Length of Cable=0.5*sqrt(1+((Uniformly Distributed Load*Cable Span/2*Midspan Tension)^2))+(Midspan Tension/Uniformly Distributed Load)*sinh(Uniformly Distributed Load*Cable Span/2*Midspan Tension). To calculate Length of cable between Supports, you need Uniformly Distributed Load (q), Cable Span (L) and Midspan Tension (H). With our tool, you need to enter the respective value for Uniformly Distributed Load, Cable Span and Midspan Tension 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?

In this formula, Length of Cable uses Uniformly Distributed Load, Cable Span and Midspan Tension. We can use 1 other way(s) to calculate the same, which is/are as follows -

Length of Cable=Cable Span+8*(Maximum Sag^2)/(3*Cable Span)

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