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

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Horizontal Tension is the tension component acting in the horizontal direction of a cable. Check FAQs

H = \sqrt{(T^{2}) - ({(W' \cdot s)}^{2})}

H - Horizontal Tension?T - Cable Tension?W^' - Total Load per Unit Length?s - Catenary Length?

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

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Here is how the Horizontal Component given Tension at any Point of Simple Cable with UDL equation looks like with Values.

Here is how the Horizontal Component given Tension at any Point of Simple Cable with UDL equation looks like with Units.

Here is how the Horizontal Component given Tension at any Point of Simple Cable with UDL equation looks like.

520.3062 = \sqrt{(600^{2}) - ({(6 \cdot 49.8)}^{2})}

520.3062kN = \sqrt{({600kN}^{2}) - ({(6kN/m \cdot 49.8m)}^{2})}

520.3062 = \sqrt{(600^{2}) - ({(6 \cdot 49.8)}^{2})}

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

Follow our step by step solution on how to calculate Horizontal Component given Tension at any Point of Simple Cable with UDL?

FIRST Step Consider the formula

H = \sqrt{(T^{2}) - ({(W' \cdot s)}^{2})}

Next Step Substitute values of Variables

∴

H = \sqrt{({600kN}^{2}) - ({(6kN/m \cdot 49.8m)}^{2})}

Next Step Convert Units

∴

H = \sqrt{({600000N}^{2}) - ({(6000N/m \cdot 49.8m)}^{2})}

Next Step Prepare to Evaluate

∴

H = \sqrt{(600000^{2}) - ({(6000 \cdot 49.8)}^{2})}

Next Step Evaluate

∴

H = 520306.217529639N

Next Step Convert to Output's Unit

∴

H = 520.306217529639kN

LAST Step Rounding Answer

∴

H = 520.3062kN

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

Variables

Functions

Horizontal Tension

Horizontal Tension is the tension component acting in the horizontal direction of a cable.

Symbol: H

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Horizontal Tension

Cable Tension

Cable Tension is the tension on the cable or the structure at a particular point. (if any random points are considered).

Symbol: T

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Cable Tension

Total Load per Unit Length

Total Load per Unit Length refers to the sum of all loads applied per unit length of the pipe.

Symbol: W^'

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Total Load per Unit Length

Catenary Length

Catenary Length is the small integral for the length of cables or hanging chains.

Symbol: s

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Catenary Length

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.

Syntax: sqrt(Number)

Other formulas in Catenary category

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

T s = \sqrt{({T m}^{2}) + {(q \cdot L span)}^{2}}

Go UDL given Tension at any Point of Simple Cable with UDL

q = \sqrt{\frac{({T s}^{2}) - ({T m}^{2})}{{L span}^{2}}}

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

L span = \sqrt{\frac{({T s}^{2}) - ({T m}^{2})}{q^{2}}}

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

Horizontal Component given Tension at any Point of Simple Cable with UDL evaluator uses Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2)) to evaluate 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 evaluate Horizontal Component given Tension at any Point of Simple Cable with UDL using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Horizontal Component given Tension at any Point of Simple Cable with UDL?

The formula of Horizontal Component given Tension at any Point of Simple Cable with UDL is expressed as Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2)). Here is an example- 0.520306 = sqrt((600000^2)-((6000*49.8)^2)).

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

With Cable Tension (T), Total Load per Unit Length (W^') & Catenary Length (s) we can find Horizontal Component given Tension at any Point of Simple Cable with UDL using the formula - Horizontal Tension = sqrt((Cable Tension^2)-((Total Load per Unit Length*Catenary Length)^2)). This formula also uses Square Root (sqrt) function(s).

Can the Horizontal Component given Tension at any Point of Simple Cable with UDL be negative?

Yes, the Horizontal Component given Tension at any Point of Simple Cable with UDL, measured in Force can be negative.

Which unit is used to measure Horizontal Component given Tension at any Point of Simple Cable with UDL?

Horizontal Component given Tension at any Point of Simple Cable with UDL is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Horizontal Component given Tension at any Point of Simple Cable with UDL can be measured.

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

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

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

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

Other formulas in Catenary category

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

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

Variable Name