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Tension at Midspan given Parabolic Equation for Cable Slope Formula

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Tension at midspan is the total tension acting in cable at midpoint. Check FAQs

T mid = \frac{q \cdot x^{2}}{2 \cdot y}

T_mid - Tension at Midspan?q - Uniformly Distributed Load?x - Distance from Midpoint of Cable?y - Parabolic Equation of Cable Slope?

Tension at Midspan given Parabolic Equation for Cable Slope Example

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Here is how the Tension at Midspan given Parabolic Equation for Cable Slope equation looks like with Values.

Here is how the Tension at Midspan given Parabolic Equation for Cable Slope equation looks like with Units.

Here is how the Tension at Midspan given Parabolic Equation for Cable Slope equation looks like.

196 = \frac{10 \cdot 7^{2}}{2 \cdot 1.25}

196kN = \frac{10kN/m \cdot {7m}^{2}}{2 \cdot 1.25}

196 = \frac{10 \cdot 7^{2}}{2 \cdot 1.25}

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Tension at Midspan given Parabolic Equation for Cable Slope Solution

Follow our step by step solution on how to calculate Tension at Midspan given Parabolic Equation for Cable Slope?

FIRST Step Consider the formula

T mid = \frac{q \cdot x^{2}}{2 \cdot y}

Next Step Substitute values of Variables

∴

T mid = \frac{10kN/m \cdot {7m}^{2}}{2 \cdot 1.25}

Next Step Convert Units

∴

T mid = \frac{10000N/m \cdot {7m}^{2}}{2 \cdot 1.25}

Next Step Prepare to Evaluate

∴

T mid = \frac{10000 \cdot 7^{2}}{2 \cdot 1.25}

Next Step Evaluate

∴

T mid = 196000N

LAST Step Convert to Output's Unit

∴

T mid = 196kN

Tension at Midspan given Parabolic Equation for Cable Slope Formula Elements

Variables

Tension at Midspan

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

Symbol: T_mid

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Midspan

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

Parabolic Equation of Cable Slope

Parabolic Equation of Cable Slope is general form representation of simple loaded cable.

Symbol: y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Parabolic Equation of Cable Slope

Other formulas in Parabola category

Go UDL given Tension at Midspan for UDL on Parabolic Cable

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

Go UDL given Parabolic Equation for Cable Slope

q = \frac{y \cdot 2 \cdot T mid}{{(x)}^{2}}

How to Evaluate Tension at Midspan given Parabolic Equation for Cable Slope?

Tension at Midspan given Parabolic Equation for Cable Slope evaluator uses Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope) to evaluate the Tension at Midspan, The Tension at Midspan given Parabolic Equation for Cable Slope formula is defined as the maximum horizontal tension occurring in the cable due to uniform load at the midpoint of the cable. Tension at Midspan is denoted by T_mid symbol.

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

FAQs on Tension at Midspan given Parabolic Equation for Cable Slope

What is the formula to find Tension at Midspan given Parabolic Equation for Cable Slope?

The formula of Tension at Midspan given Parabolic Equation for Cable Slope is expressed as Tension at Midspan = (Uniformly Distributed Load*Distance from Midpoint of Cable^2)/(2*Parabolic Equation of Cable Slope). Here is an example- 0.196 = (10000*7^2)/(2*1.25).

How to calculate Tension at Midspan given Parabolic Equation for Cable Slope?

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

Can the Tension at Midspan given Parabolic Equation for Cable Slope be negative?

No, the Tension at Midspan given Parabolic Equation for Cable Slope, measured in Force cannot be negative.

Which unit is used to measure Tension at Midspan given Parabolic Equation for Cable Slope?

Tension at Midspan given Parabolic Equation for Cable Slope is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Tension at Midspan given Parabolic Equation for Cable Slope can be measured.

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Tension at Midspan given Parabolic Equation for Cable Slope Formula

Tension at Midspan given Parabolic Equation for Cable Slope Example

Tension at Midspan given Parabolic Equation for Cable Slope Solution

Tension at Midspan given Parabolic Equation for Cable Slope Formula Elements

Other formulas in Parabola category

How to Evaluate Tension at Midspan given Parabolic Equation for Cable Slope?

FAQs on Tension at Midspan given Parabolic Equation for Cable Slope

Variable Name