Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable Solution

STEP 0: Pre-Calculation Summary
Formula Used
Tension at Supports = (Maximum Sag+Catenary Parameter)*Uniformly Distributed Load
Ts = (d+c)*q
This formula uses 4 Variables
Variables Used
Tension at Supports - (Measured in Newton) - Tension at Supports is the tension due to loading on supports.
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.
Catenary Parameter - (Measured in Meter) - Catenary Parameter is factor found when load in increased due to self weight.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Sag: 1.44 Meter --> 1.44 Meter No Conversion Required
Catenary Parameter: 19.56 Meter --> 19.56 Meter No Conversion Required
Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ts = (d+c)*q --> (1.44+19.56)*10000
Evaluating ... ...
Ts = 210000
STEP 3: Convert Result to Output's Unit
210000 Newton -->210 Kilonewton (Check conversion here)
FINAL ANSWER
210 Kilonewton <-- Tension at Supports
(Calculation completed in 00.004 seconds)

Credits

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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

Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable Formula

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

What is Tension in Cable?

The pulling force that acts along a stretched flexible connector, such as a rope or cable, is called tension, T. When a rope supports the weight of an object that is at rest, the tension in the rope is equal to the weight of the object: T = mg.

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.

How to Calculate Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable?

Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable calculator uses Tension at Supports = (Maximum Sag+Catenary Parameter)*Uniformly Distributed Load to calculate the Tension at Supports, The Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable formula is defined as the total force acting on the supports in both horizontal and vertical directions. Tension at Supports is denoted by Ts symbol.

How to calculate Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable using this online calculator? To use this online calculator for Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable, enter Maximum Sag (d), Catenary Parameter (c) & Uniformly Distributed Load (q) and hit the calculate button. Here is how the Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable calculation can be explained with given input values -> 0.1144 = (1.44+19.56)*10000.

FAQ

What is Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable?
The Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable formula is defined as the total force acting on the supports in both horizontal and vertical directions and is represented as Ts = (d+c)*q or Tension at Supports = (Maximum Sag+Catenary Parameter)*Uniformly Distributed Load. Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system, Catenary Parameter is factor found when load in increased due to self weight & 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.
How to calculate Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable?
The Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable formula is defined as the total force acting on the supports in both horizontal and vertical directions is calculated using Tension at Supports = (Maximum Sag+Catenary Parameter)*Uniformly Distributed Load. To calculate Tension at Supports given Catenary Parameter for UDL on Catenary Parabolic Cable, you need Maximum Sag (d), Catenary Parameter (c) & Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Maximum Sag, Catenary Parameter & Uniformly Distributed Load 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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