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UDL given Tension at any Point of Simple Cable with UDL 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 = \sqrt{\frac{({T s}^{2}) - ({T m}^{2})}{{L span}^{2}}}

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

UDL given Tension at any Point of Simple Cable with UDL Example

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Here is how the UDL given Tension at any Point of Simple Cable with UDL equation looks like with Values.

Here is how the UDL given Tension at any Point of Simple Cable with UDL equation looks like with Units.

Here is how the UDL given Tension at any Point of Simple Cable with UDL equation looks like.

13.9975 = \sqrt{\frac{(210^{2}) - (4^{2})}{15^{2}}}

13.9975kN/m = \sqrt{\frac{({210kN}^{2}) - ({4kN}^{2})}{{15m}^{2}}}

13.9975 = \sqrt{\frac{(210^{2}) - (4^{2})}{15^{2}}}

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UDL given Tension at any Point of Simple Cable with UDL Solution

Follow our step by step solution on how to calculate UDL given Tension at any Point of Simple Cable with UDL?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q = \sqrt{\frac{({210kN}^{2}) - ({4kN}^{2})}{{15m}^{2}}}

Next Step Convert Units

∴

q = \sqrt{\frac{({210000N}^{2}) - ({4000N}^{2})}{{15m}^{2}}}

Next Step Prepare to Evaluate

∴

q = \sqrt{\frac{(210000^{2}) - (4000^{2})}{15^{2}}}

Next Step Evaluate

∴

q = 13997.4600870618N/m

Next Step Convert to Output's Unit

∴

q = 13.9974600870618kN/m

LAST Step Rounding Answer

∴

q = 13.9975kN/m

UDL given Tension at any Point of Simple Cable with UDL 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

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

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 Catenary category

Go Tension at any Point given Catenary Length of Simple Cable with UDL

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

Go Horizontal Component given Tension at any Point of Simple Cable with UDL

H = \sqrt{(T^{2}) - ({(W' \cdot s)}^{2})}

Go Catenary Length given Tension at any Point of Simple Cable with UDL

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

How to Evaluate UDL given Tension at any Point of Simple Cable with UDL?

UDL given Tension at any Point of Simple Cable with UDL evaluator uses Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)) to evaluate the Uniformly Distributed Load, The UDL given Tension at any Point of Simple Cable with UDL 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 any Point of Simple Cable with UDL using this online evaluator? To use this online evaluator for UDL given Tension at any Point of Simple Cable with UDL, enter Tension at Supports (T_s), Midspan Tension (T_m) & Cable Span (L_span) and hit the calculate button.

FAQs on UDL given Tension at any Point of Simple Cable with UDL

What is the formula to find UDL given Tension at any Point of Simple Cable with UDL?

The formula of UDL given Tension at any Point of Simple Cable with UDL is expressed as Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)). Here is an example- 0.013997 = sqrt(((210000^2)-(4000^2))/(15^2)).

How to calculate UDL given Tension at any Point of Simple Cable with UDL?

With Tension at Supports (T_s), Midspan Tension (T_m) & Cable Span (L_span) we can find UDL given Tension at any Point of Simple Cable with UDL using the formula - Uniformly Distributed Load = sqrt(((Tension at Supports^2)-(Midspan Tension^2))/(Cable Span^2)). This formula also uses Square Root (sqrt) function(s).

Can the UDL given Tension at any Point of Simple Cable with UDL be negative?

Yes, the UDL given Tension at any Point of Simple Cable with UDL, measured in Surface Tension can be negative.

Which unit is used to measure UDL given Tension at any Point of Simple Cable with UDL?

UDL given Tension at any Point of Simple Cable with UDL 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 any Point of Simple Cable with UDL can be measured.

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UDL given Tension at any Point of Simple Cable with UDL Formula

UDL given Tension at any Point of Simple Cable with UDL Example

UDL given Tension at any Point of Simple Cable with UDL Solution

UDL given Tension at any Point of Simple Cable with UDL Formula Elements

Other formulas in Catenary category

How to Evaluate UDL given Tension at any Point of Simple Cable with UDL?

FAQs on UDL given Tension at any Point of Simple Cable with UDL

Variable Name