Catenary Parameter for UDL on Catenary Parabolic Cable Solution

STEP 0: Pre-Calculation Summary
Formula Used
Catenary Parameter = (Tension at Supports/Uniformly Distributed Load)-Maximum Sag
c = (Ts/q)-d
This formula uses 4 Variables
Variables Used
Catenary Parameter - (Measured in Meter) - Catenary Parameter is factor found when load in increased due to self weight.
Tension at Supports - (Measured in Newton) - Tension at Supports is the tension due to loading on supports.
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.
Maximum Sag - (Measured in Meter) - Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.
STEP 1: Convert Input(s) to Base Unit
Tension at Supports: 210 Kilonewton --> 210000 Newton (Check conversion here)
Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)
Maximum Sag: 1.44 Meter --> 1.44 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
c = (Ts/q)-d --> (210000/10000)-1.44
Evaluating ... ...
c = 19.56
STEP 3: Convert Result to Output's Unit
19.56 Meter --> No Conversion Required
FINAL ANSWER
19.56 Meter <-- Catenary Parameter
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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6 Catenary Cable Sag and Distance between Supports Calculators

Maximum Sag given Catenary Parameter for UDL on Catenary Parabolic Cable
Go Maximum Sag = (-Catenary Parameter)+(Tension at Supports/Uniformly Distributed Load)
Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable
Go Tension at Supports = (Maximum Sag+Catenary Parameter)*Uniformly Distributed Load
UDL given Catenary Parameter for UDL on Catenary Parabolic Cable
Go Uniformly Distributed Load = Tension at Supports/(Maximum Sag+Catenary Parameter)
Catenary Parameter for UDL on Catenary Parabolic Cable
Go Catenary Parameter = (Tension at Supports/Uniformly Distributed Load)-Maximum Sag
Total Sag given Catenary Parameter for UDL on Catenary Parabolic Cable
Go Sag of Cable = Maximum Sag+Catenary Parameter
Span of Cable given Catenary Parameter for UDL on Catenary Parabolic Cable
Go Cable Span = 2*Catenary Parameter

Catenary Parameter for UDL on Catenary Parabolic Cable Formula

Catenary Parameter = (Tension at Supports/Uniformly Distributed Load)-Maximum Sag
c = (Ts/q)-d

What is Catenary?

Catenary is the curve that an idealized hanging chain or cable assumes under its own weight when supported only at its ends. The catenary curve has a U-like shape, superficially similar in appearance to a parabolic arch, but it is not a parabola.

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 Catenary Parameter for UDL on Catenary Parabolic Cable?

Catenary Parameter for UDL on Catenary Parabolic Cable calculator uses Catenary Parameter = (Tension at Supports/Uniformly Distributed Load)-Maximum Sag to calculate the Catenary Parameter, The Catenary Parameter for UDL on Catenary Parabolic Cable formula is defined as a factor that comes due to an increase in loading on the cable. Catenary Parameter is denoted by c symbol.

How to calculate Catenary Parameter for UDL on Catenary Parabolic Cable using this online calculator? To use this online calculator for Catenary Parameter for UDL on Catenary Parabolic Cable, enter Tension at Supports (Ts), Uniformly Distributed Load (q) & Maximum Sag (d) and hit the calculate button. Here is how the Catenary Parameter for UDL on Catenary Parabolic Cable calculation can be explained with given input values -> 19.56 = (210000/10000)-1.44.

FAQ

What is Catenary Parameter for UDL on Catenary Parabolic Cable?
The Catenary Parameter for UDL on Catenary Parabolic Cable formula is defined as a factor that comes due to an increase in loading on the cable and is represented as c = (Ts/q)-d or Catenary Parameter = (Tension at Supports/Uniformly Distributed Load)-Maximum Sag. Tension at Supports is the tension due to loading on supports, 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 & Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.
How to calculate Catenary Parameter for UDL on Catenary Parabolic Cable?
The Catenary Parameter for UDL on Catenary Parabolic Cable formula is defined as a factor that comes due to an increase in loading on the cable is calculated using Catenary Parameter = (Tension at Supports/Uniformly Distributed Load)-Maximum Sag. To calculate Catenary Parameter for UDL on Catenary Parabolic Cable, you need Tension at Supports (Ts), Uniformly Distributed Load (q) & Maximum Sag (d). With our tool, you need to enter the respective value for Tension at Supports, Uniformly Distributed Load & Maximum Sag and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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