UDL 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%
✖Cable Span is total length of cable in horizontal direction.ⓘ Cable Span [L]			+10% -10%

✖Uniformly distributed load is a force applied over an area or length, denoted by q which is force per unit length.ⓘ UDL when Tension at any Point of the Simple Cable with a UDL is Given [q]

⎘ Copy

👎 Report Issue!

👍 Share Now!

You are here:

Home »
Engineering »
Civil »
Bridge and Suspension Cable »
General Relations for Suspension Cables »
Catenary »
UDL when Tension at any Point of the Simple Cable with a UDL is Given

Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 100+ 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

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

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 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

Length of Cable for UDL on Parabolic Cable is Given

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

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

Maximum Sag=(Length of Cable-Cable Span)*(3/8)*Cable Span GO

< 7 Other formulas that calculate the same Output

UDL when Maximum Reactions at Supports is Given

Uniformly Distributed Load=Maximum Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2)))) GO

UDL when Parabolic Equation for the Cable Slope is Given

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

UDL when Horizontal Component of Cable Tension for UDL is Given

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

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

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

UDL when Vertical Reaction at Supports is Given

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

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

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

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

What is Uniformly Distributed Load (UDL) ?

A uniformly distributed load (UDL) is a load that is distributed or spread across the whole region of an element such as a beam or slab. In other words, the magnitude of the load remains uniform throughout the whole element.

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

UDL when Tension at any Point of the Simple Cable with a UDL is Given calculator uses Uniformly Distributed Load=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)) to calculate the Uniformly Distributed Load, The UDL when Tension at any Point of the Simple Cable with a UDL is Given is defined as total load acting on the cable per meter span length of cable. Uniformly Distributed Load and is denoted by q symbol.

How to calculate UDL when Tension at any Point of the Simple Cable with a UDL is Given using this online calculator? To use this online calculator for UDL when Tension at any Point of the Simple Cable with a UDL is Given, enter Tension at Supports (T), Midspan Tension (H) and Cable Span (L) and hit the calculate button. Here is how the UDL 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))/(10^2)).

FAQ

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

The UDL when Tension at any Point of the Simple Cable with a UDL is Given is defined as total load acting on the cable per meter span length of cable and is represented as q=sqrt(((T^2)-(H^2))/(L^2)) or Uniformly Distributed Load=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)). Tension at Supports is the tension due to loading on supports, Midspan Tension is the total tension acting in cable at midpoint and Cable Span is total length of cable in horizontal direction.

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

The UDL when Tension at any Point of the Simple Cable with a UDL is Given is defined as total load acting on the cable per meter span length of cable is calculated using Uniformly Distributed Load=sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)). To calculate UDL when Tension at any Point of the Simple Cable with a UDL is Given, you need Tension at Supports (T), Midspan Tension (H) and Cable Span (L). With our tool, you need to enter the respective value for Tension at Supports, Midspan Tension and Cable Span 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 Uniformly Distributed Load?

In this formula, Uniformly Distributed Load uses Tension at Supports, Midspan Tension and Cable Span. We can use 7 other way(s) to calculate the same, which is/are as follows -

Uniformly Distributed Load=8*Midspan Tension*Maximum Sag/(Length of Cable^2)
Uniformly Distributed Load=(sqrt((Tension at Supports^2)-(Midspan Tension^2))*2)/Cable Span
Uniformly Distributed Load=Tension at Supports/(Maximum Sag+Catenary Parameter)
Uniformly Distributed Load=(Parabolic Equation of Cable Slope*2*Midspan Tension)/(Distance from Midpoint of Cable)^2
Uniformly Distributed Load=(Midspan Tension*8*Sag of Cable at Midway between Supports)/(Cable Span)^2
Uniformly Distributed Load=2*Vertical Reaction at Supports/Cable Span
Uniformly Distributed Load=Maximum Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))))

Facebook
Twitter
WhatsApp
Reddit
LinkedIn
E-Mail

Let Others Know

✖

Facebook

Twitter

Copied!