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

GoMaximum Sag given Length of Cable for UDL on Parabolic Cable Formula

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

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

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

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

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

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

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

1.4349 = 10 \cdot \frac{15^{2}}{8 \cdot 196}

1.4349m = 10kN/m \cdot \frac{{15m}^{2}}{8 \cdot 196kN}

1.4349 = 10 \cdot \frac{15^{2}}{8 \cdot 196}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d = 10kN/m \cdot \frac{{15m}^{2}}{8 \cdot 196kN}

Next Step Convert Units

∴

d = 10000N/m \cdot \frac{{15m}^{2}}{8 \cdot 196000N}

Next Step Prepare to Evaluate

∴

d = 10000 \cdot \frac{15^{2}}{8 \cdot 196000}

Next Step Evaluate

∴

d = 1.43494897959184m

LAST Step Rounding Answer

∴

d = 1.4349m

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable Formula Elements

Variables

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

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

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

Other Formulas to find Maximum Sag

Go Maximum Sag given Length of Cable for UDL on Parabolic Cable

d = \sqrt{(S cable - L span) \cdot (\frac{3}{8}) \cdot L span}

Other formulas in Parabolic Cable Tension and Length category

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}

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

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable evaluator uses Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan) to evaluate the Maximum Sag, The Maximum Sag given Tension at Midspan for UDL on Parabolic Cable formula is defined as the total vertical deflection of cable at midpoint due to UDL. Maximum Sag is denoted by d symbol.

How to evaluate Maximum Sag given Tension at Midspan for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for Maximum Sag given Tension at Midspan for UDL on Parabolic Cable, enter Uniformly Distributed Load (q), Cable Span (L_span) & Tension at Midspan (T_mid) and hit the calculate button.

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

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

The formula of Maximum Sag given Tension at Midspan for UDL on Parabolic Cable is expressed as Maximum Sag = Uniformly Distributed Load*(Cable Span^2)/(8*Tension at Midspan). Here is an example- 1.434949 = 10000*(15^2)/(8*196000).

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

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

What are the other ways to Calculate Maximum Sag?

Here are the different ways to Calculate Maximum Sag-

Maximum Sag=sqrt((Cable Length-Cable Span)*(3/8)*Cable Span)

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

No, the Maximum Sag given Tension at Midspan for UDL on Parabolic Cable, measured in Length cannot be negative.

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

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Maximum Sag given Tension at Midspan for UDL on Parabolic Cable can be measured.

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

​GoMaximum Sag given Length of Cable for UDL on Parabolic Cable Formula

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

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

Maximum Sag given Tension at Midspan for UDL on Parabolic Cable Formula Elements

Other Formulas to find Maximum Sag

Other formulas in Parabolic Cable Tension and Length category

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

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

Variable Name

GoMaximum Sag given Length of Cable for UDL on Parabolic Cable Formula