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Parabolic Equation for Cable Slope Formula

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Y Co-ordinate of Cable Slope is a general form representation of simple loaded cable. Check FAQs

Y = q \cdot \frac{x^{2}}{2 \cdot T m}

Y - Y Co-ordinate?q - Uniformly Distributed Load?x - Distance from Midpoint of Cable?T_m - Midspan Tension?

Parabolic Equation for Cable Slope Example

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Here is how the Parabolic Equation for Cable Slope equation looks like with Values.

Here is how the Parabolic Equation for Cable Slope equation looks like with Units.

Here is how the Parabolic Equation for Cable Slope equation looks like.

61.25 = 10 \cdot \frac{7^{2}}{2 \cdot 4}

61.25 = 10kN/m \cdot \frac{{7m}^{2}}{2 \cdot 4kN}

61.25 = 10 \cdot \frac{7^{2}}{2 \cdot 4}

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Parabolic Equation for Cable Slope Solution

Follow our step by step solution on how to calculate Parabolic Equation for Cable Slope?

FIRST Step Consider the formula

Y = q \cdot \frac{x^{2}}{2 \cdot T m}

Next Step Substitute values of Variables

∴

Y = 10kN/m \cdot \frac{{7m}^{2}}{2 \cdot 4kN}

Next Step Convert Units

∴

Y = 10000N/m \cdot \frac{{7m}^{2}}{2 \cdot 4000N}

Next Step Prepare to Evaluate

∴

Y = 10000 \cdot \frac{7^{2}}{2 \cdot 4000}

LAST Step Evaluate

∴

Y = 61.25

Parabolic Equation for Cable Slope Formula Elements

Variables

Y Co-ordinate

Y Co-ordinate of Cable Slope is a general form representation of simple loaded cable.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Y Co-ordinate

Uniformly Distributed Load

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.

Symbol: q

Measurement: Surface TensionUnit: kN/m

Note: Value can be positive or negative.

Formulas to find Uniformly Distributed Load

Distance from Midpoint of Cable

Distance from Midpoint of Cable is horizontal distance where vertical length is to be calculated.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Midpoint of Cable

Midspan Tension

Midspan Tension is the total tension acting in cable at midpoint.

Symbol: T_m

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Midspan Tension

Other formulas in Parabolic Cable Tension and Length category

Go Maximum Sag given Tension at Midspan for UDL on Parabolic Cable

d = q \cdot \frac{{L span}^{2}}{8 \cdot T mid}

Go Tension at Supports for UDL on Parabolic Cable

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

Go Tension at Midspan given Tension at Supports for UDL on Parabolic Cable

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

Go UDL given Tension at Supports for UDL on Parabolic Cable

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

How to Evaluate Parabolic Equation for Cable Slope?

Parabolic Equation for Cable Slope evaluator uses Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension) to evaluate the Y Co-ordinate, The Parabolic Equation for Cable Slope formula is defined as a general equation representing the curve of loading. Y Co-ordinate is denoted by Y symbol.

How to evaluate Parabolic Equation for Cable Slope using this online evaluator? To use this online evaluator for Parabolic Equation for Cable Slope, enter Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) & Midspan Tension (T_m) and hit the calculate button.

FAQs on Parabolic Equation for Cable Slope

What is the formula to find Parabolic Equation for Cable Slope?

The formula of Parabolic Equation for Cable Slope is expressed as Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension). Here is an example- 61.25 = 10000*(7^2)/(2*4000).

How to calculate Parabolic Equation for Cable Slope?

With Uniformly Distributed Load (q), Distance from Midpoint of Cable (x) & Midspan Tension (T_m) we can find Parabolic Equation for Cable Slope using the formula - Y Co-ordinate = Uniformly Distributed Load*(Distance from Midpoint of Cable^2)/(2*Midspan Tension).

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Parabolic Equation for Cable Slope Formula

Parabolic Equation for Cable Slope Example

Parabolic Equation for Cable Slope Solution

Parabolic Equation for Cable Slope Formula Elements

Other formulas in Parabolic Cable Tension and Length category

How to Evaluate Parabolic Equation for Cable Slope?

FAQs on Parabolic Equation for Cable Slope

Variable Name