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UDL given Tension at Supports for UDL on Parabolic Cable Formula

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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. Check FAQs

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

q - Uniformly Distributed Load?T_s - Tension at Supports?T_mid - Tension at Midspan?L_span - Cable Span?

UDL given Tension at Supports for UDL on Parabolic Cable Example

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

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

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

10.0523 = \frac{\sqrt{(210^{2}) - (196^{2})} \cdot 2}{15}

10.0523kN/m = \frac{\sqrt{({210kN}^{2}) - ({196kN}^{2})} \cdot 2}{15m}

10.0523 = \frac{\sqrt{(210^{2}) - (196^{2})} \cdot 2}{15}

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UDL given Tension at Supports for UDL on Parabolic Cable Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q = \frac{\sqrt{({210kN}^{2}) - ({196kN}^{2})} \cdot 2}{15m}

Next Step Convert Units

∴

q = \frac{\sqrt{({210000N}^{2}) - ({196000N}^{2})} \cdot 2}{15m}

Next Step Prepare to Evaluate

∴

q = \frac{\sqrt{(210000^{2}) - (196000^{2})} \cdot 2}{15}

Next Step Evaluate

∴

q = 10052.3076399844N/m

Next Step Convert to Output's Unit

∴

q = 10.0523076399844kN/m

LAST Step Rounding Answer

∴

q = 10.0523kN/m

UDL given Tension at Supports for UDL on Parabolic Cable Formula Elements

Variables

Functions

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

Tension at Supports

Tension at Supports is the tension due to loading on supports.

Symbol: T_s

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Supports

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

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

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 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 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 UDL given Tension at Supports for UDL on Parabolic Cable?

UDL given Tension at Supports for UDL on Parabolic Cable evaluator uses Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span to evaluate the Uniformly Distributed Load, The UDL given Tension at Supports for UDL on Parabolic Cable formula is defined as total load acting on the cable per meter span length of cable. Uniformly Distributed Load is denoted by q symbol.

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

FAQs on UDL given Tension at Supports for UDL on Parabolic Cable

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

The formula of UDL given Tension at Supports for UDL on Parabolic Cable is expressed as Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span. Here is an example- 0.010052 = (sqrt((210000^2)-(196000^2))*2)/15.

How to calculate UDL given Tension at Supports for UDL on Parabolic Cable?

With Tension at Supports (T_s), Tension at Midspan (T_mid) & Cable Span (L_span) we can find UDL given Tension at Supports for UDL on Parabolic Cable using the formula - Uniformly Distributed Load = (sqrt((Tension at Supports^2)-(Tension at Midspan^2))*2)/Cable Span. This formula also uses Square Root (sqrt) function(s).

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

Yes, the UDL given Tension at Supports for UDL on Parabolic Cable, measured in Surface Tension can be negative.

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

UDL given Tension at Supports for UDL on Parabolic Cable is usually measured using the Kilonewton per Meter[kN/m] for Surface Tension. Newton per Meter[kN/m], Millinewton per Meter[kN/m], Gram-Force per Centimeter[kN/m] are the few other units in which UDL given Tension at Supports for UDL on Parabolic Cable can be measured.

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UDL given Tension at Supports for UDL on Parabolic Cable Formula

UDL given Tension at Supports for UDL on Parabolic Cable Example

UDL given Tension at Supports for UDL on Parabolic Cable Solution

UDL given Tension at Supports for UDL on Parabolic Cable Formula Elements

Other formulas in Parabolic Cable Tension and Length category

How to Evaluate UDL given Tension at Supports for UDL on Parabolic Cable?

FAQs on UDL given Tension at Supports for UDL on Parabolic Cable

Variable Name