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Tension at Midspan for UDL on Parabolic Cable Formula

GoTension at Midspan given Tension at Supports for UDL on Parabolic Cable Formula

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

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

T_mid - Tension at Midspan?q - Uniformly Distributed Load?L_span - Cable Span?d - Maximum Sag?

Tension at Midspan for UDL on Parabolic Cable Example

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With units

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Here is how the Tension at Midspan for UDL on Parabolic Cable equation looks like with Values.

Here is how the Tension at Midspan for UDL on Parabolic Cable equation looks like with Units.

Here is how the Tension at Midspan for UDL on Parabolic Cable equation looks like.

195.3125 = \frac{10 \cdot (15^{2})}{8 \cdot 1.44}

195.3125kN = \frac{10kN/m \cdot ({15m}^{2})}{8 \cdot 1.44m}

195.3125 = \frac{10 \cdot (15^{2})}{8 \cdot 1.44}

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Tension at Midspan for UDL on Parabolic Cable Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

T mid = \frac{10kN/m \cdot ({15m}^{2})}{8 \cdot 1.44m}

Next Step Convert Units

∴

T mid = \frac{10000N/m \cdot ({15m}^{2})}{8 \cdot 1.44m}

Next Step Prepare to Evaluate

∴

T mid = \frac{10000 \cdot (15^{2})}{8 \cdot 1.44}

Next Step Evaluate

∴

T mid = 195312.5N

LAST Step Convert to Output's Unit

∴

T mid = 195.3125kN

Tension at Midspan for UDL on Parabolic Cable 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

Cable Span

Cable Span is total length of cable in horizontal direction.

Symbol: L_span

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cable Span

Maximum Sag

Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Sag

Other Formulas to find Tension at Midspan

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})}

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 UDL given Tension at Supports for UDL on Parabolic Cable

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

Go Span of Cable given Tension at Supports for UDL on Parabolic Cable

L cable_span = \frac{\sqrt{({T s}^{2}) - ({T m}^{2})} \cdot 2}{W}

How to Evaluate Tension at Midspan for UDL on Parabolic Cable?

Tension at Midspan for UDL on Parabolic Cable evaluator uses Tension at Midspan = (Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag) to evaluate the Tension at Midspan, The Tension at Midspan for UDL on Parabolic Cable 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 for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for Tension at Midspan for UDL on Parabolic Cable, enter Uniformly Distributed Load (q), Cable Span (L_span) & Maximum Sag (d) and hit the calculate button.

FAQs on Tension at Midspan for UDL on Parabolic Cable

What is the formula to find Tension at Midspan for UDL on Parabolic Cable?

The formula of Tension at Midspan for UDL on Parabolic Cable is expressed as Tension at Midspan = (Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag). Here is an example- 0.195312 = (10000*(15^2))/(8*1.44).

How to calculate Tension at Midspan for UDL on Parabolic Cable?

With Uniformly Distributed Load (q), Cable Span (L_span) & Maximum Sag (d) we can find Tension at Midspan for UDL on Parabolic Cable using the formula - Tension at Midspan = (Uniformly Distributed Load*(Cable Span^2))/(8*Maximum Sag).

What are the other ways to Calculate Tension at Midspan?

Here are the different ways to Calculate Tension at Midspan-

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

Can the Tension at Midspan for UDL on Parabolic Cable be negative?

No, the Tension at Midspan for UDL on Parabolic Cable, measured in Force cannot be negative.

Which unit is used to measure Tension at Midspan for UDL on Parabolic Cable?

Tension at Midspan for UDL on Parabolic Cable 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 for UDL on Parabolic Cable can be measured.

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Tension at Midspan for UDL on Parabolic Cable Formula

​GoTension at Midspan given Tension at Supports for UDL on Parabolic Cable Formula

Tension at Midspan for UDL on Parabolic Cable Example

Tension at Midspan for UDL on Parabolic Cable Solution

Tension at Midspan for UDL on Parabolic Cable Formula Elements

Other Formulas to find Tension at Midspan

Other formulas in Parabolic Cable Tension and Length category

How to Evaluate Tension at Midspan for UDL on Parabolic Cable?

FAQs on Tension at Midspan for UDL on Parabolic Cable

Variable Name

GoTension at Midspan given Tension at Supports for UDL on Parabolic Cable Formula