Horizontal Component given Tension at any Point of Simple Cable with UDL Calculator

✖Cable Tension is the tension on the cable or the structure at a particular point. (if any random points are considered).ⓘ Cable Tension [T]			+10% -10%
✖Total Load per Unit Length means the sum of all load applied per unit length of the pipe.ⓘ Total Load per Unit Length [W^']			+10% -10%
✖Catenary Length is the small integral for the length of cables or hanging chains.ⓘ Catenary Length [s]			+10% -10%

✖Horizontal Tension is the tension component acting in the horizontal direction of a cable.ⓘ Horizontal Component given Tension at any Point of Simple Cable with UDL [H]

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Formula

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Horizontal Component given Tension at any Point of Simple Cable with UDL

Formula

`"H" = sqrt(("T"^2)-(("W"^{"'"}*"s")^2))`

Example

`"520.3062kN"=sqrt((("600kN")^2)-(("6.0kN/m"*"49.8m")^2))`

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Horizontal Component given Tension at any Point of Simple Cable with UDL Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2))
H = sqrt((T^2)-((W^'*s)^2))
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Horizontal Tension - (Measured in Newton) - Horizontal Tension is the tension component acting in the horizontal direction of a cable.
Cable Tension - (Measured in Newton) - Cable Tension is the tension on the cable or the structure at a particular point. (if any random points are considered).
Total Load per Unit Length - (Measured in Newton per Meter) - Total Load per Unit Length means the sum of all load applied per unit length of the pipe.
Catenary Length - (Measured in Meter) - Catenary Length is the small integral for the length of cables or hanging chains.

STEP 1: Convert Input(s) to Base Unit

Cable Tension: 600 Kilonewton --> 600000 Newton (Check conversion here)
Total Load per Unit Length: 6 Kilonewton per Meter --> 6000 Newton per Meter (Check conversion here)
Catenary Length: 49.8 Meter --> 49.8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = sqrt((T^2)-((W^'*s)^2)) --> sqrt((600000^2)-((6000*49.8)^2))

Evaluating ... ...

H = 520306.217529639

STEP 3: Convert Result to Output's Unit

520306.217529639 Newton -->520.306217529639 Kilonewton (Check conversion here)

FINAL ANSWER

520.306217529639 ≈ 520.3062 Kilonewton <-- Horizontal Tension

(Calculation completed in 00.004 seconds)

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< 4 Catenary Calculators

Catenary Length given Tension at any Point of Simple Cable with UDL

Go Cable Span = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Uniformly Distributed Load^2))

UDL given Tension at any Point of Simple Cable with UDL

Go Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2))

Horizontal Component given Tension at any Point of Simple Cable with UDL

Go Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2))

Tension at any Point given Catenary Length of Simple Cable with UDL

Go Tension at Supports = sqrt((Midspan Tension^2)+(Uniformly Distributed Load*Cable Span)^2)

Horizontal Component given Tension at any Point of Simple Cable with UDL Formula

Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2))
H = sqrt((T^2)-((W^'*s)^2))

What is Parabolic Cable?

Parabolic Cable is a cable carrying a horizontally distributed load, then cable form a parabola or is called parabolic cable. Example: The cable carrying a bridge is a parabolic cable

How to Calculate Horizontal Component given Tension at any Point of Simple Cable with UDL?

Horizontal Component given Tension at any Point of Simple Cable with UDL calculator uses Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2)) to calculate the Horizontal Tension, The Horizontal component given tension at any Point of simple cable with UDL formula is defined as the tension in the horizontal direction for a curved cable or hanging chain with a distributed load. Horizontal Tension is denoted by H symbol.

How to calculate Horizontal Component given Tension at any Point of Simple Cable with UDL using this online calculator? To use this online calculator for Horizontal Component given Tension at any Point of Simple Cable with UDL, enter Cable Tension (T), Total Load per Unit Length (W^') & Catenary Length (s) and hit the calculate button. Here is how the Horizontal Component given Tension at any Point of Simple Cable with UDL calculation can be explained with given input values -> 0.520306 = sqrt((600000^2)-((6000*49.8)^2)).

FAQ

What is Horizontal Component given Tension at any Point of Simple Cable with UDL?

The Horizontal component given tension at any Point of simple cable with UDL formula is defined as the tension in the horizontal direction for a curved cable or hanging chain with a distributed load and is represented as H = sqrt((T^2)-((W^'*s)^2)) or Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2)). Cable Tension is the tension on the cable or the structure at a particular point. (if any random points are considered), Total Load per Unit Length means the sum of all load applied per unit length of the pipe & Catenary Length is the small integral for the length of cables or hanging chains.

How to calculate Horizontal Component given Tension at any Point of Simple Cable with UDL?

The Horizontal component given tension at any Point of simple cable with UDL formula is defined as the tension in the horizontal direction for a curved cable or hanging chain with a distributed load is calculated using Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2)). To calculate Horizontal Component given Tension at any Point of Simple Cable with UDL, you need Cable Tension (T), Total Load per Unit Length (W^') & Catenary Length (s). With our tool, you need to enter the respective value for Cable Tension, Total Load per Unit Length & Catenary Length 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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