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Span Length given Horizontal Component of Cable Tension for UDL Formula

GoSpan Length given Vertical Reaction at Supports Formula

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Cable Span is total length of cable in horizontal direction. Check FAQs

L span = \sqrt{\frac{8 \cdot f \cdot T cable udl}{q}}

L_span - Cable Span?f - Sag of Cable at Midway between Supports?T_{cable udl} - Cable Tension for UDL?q - Uniformly Distributed Load?

Span Length given Horizontal Component of Cable Tension for UDL Example

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Here is how the Span Length given Horizontal Component of Cable Tension for UDL equation looks like with Values.

Here is how the Span Length given Horizontal Component of Cable Tension for UDL equation looks like with Units.

Here is how the Span Length given Horizontal Component of Cable Tension for UDL equation looks like.

15 = \sqrt{\frac{8 \cdot 5 \cdot 56.25}{10}}

15m = \sqrt{\frac{8 \cdot 5m \cdot 56.25kN}{10kN/m}}

15 = \sqrt{\frac{8 \cdot 5 \cdot 56.25}{10}}

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Bridge and Suspension Cable » fx Span Length given Horizontal Component of Cable Tension for UDL

Span Length given Horizontal Component of Cable Tension for UDL Solution

Follow our step by step solution on how to calculate Span Length given Horizontal Component of Cable Tension for UDL?

FIRST Step Consider the formula

L span = \sqrt{\frac{8 \cdot f \cdot T cable udl}{q}}

Next Step Substitute values of Variables

∴

L span = \sqrt{\frac{8 \cdot 5m \cdot 56.25kN}{10kN/m}}

Next Step Convert Units

∴

L span = \sqrt{\frac{8 \cdot 5m \cdot 56250N}{10000N/m}}

Next Step Prepare to Evaluate

∴

L span = \sqrt{\frac{8 \cdot 5 \cdot 56250}{10000}}

LAST Step Evaluate

∴

L span = 15m

Span Length given Horizontal Component of Cable Tension for UDL Formula Elements

Variables

Functions

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

Sag of Cable at Midway between Supports

Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.

Symbol: f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sag of Cable at Midway between Supports

Cable Tension for UDL

Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.

Symbol: T_{cable udl}

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Cable Tension for UDL

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

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 to find Cable Span

Go Span Length given Vertical Reaction at Supports

L span = V R \cdot \frac{2}{q}

Other formulas in Supports at Same Level category

Go Horizontal Component of Cable Tension for UDL

T cable udl = q \cdot \frac{{L span}^{2}}{8 \cdot f}

Go Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

q = \frac{T cable udl \cdot 8 \cdot f}{{(L span)}^{2}}

Go Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL

f = q \cdot \frac{{L span}^{2}}{8 \cdot T cable udl}

Go Vertical Reaction at Supports

V R = q \cdot \frac{L span}{2}

How to Evaluate Span Length given Horizontal Component of Cable Tension for UDL?

Span Length given Horizontal Component of Cable Tension for UDL evaluator uses Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load) to evaluate the Cable Span, The Span Length given Horizontal Component of Cable Tension for UDL formula is defined as the total projected horizontal length of the cable. Cable Span is denoted by L_span symbol.

How to evaluate Span Length given Horizontal Component of Cable Tension for UDL using this online evaluator? To use this online evaluator for Span Length given Horizontal Component of Cable Tension for UDL, enter Sag of Cable at Midway between Supports (f), Cable Tension for UDL (T_{cable udl}) & Uniformly Distributed Load (q) and hit the calculate button.

FAQs on Span Length given Horizontal Component of Cable Tension for UDL

What is the formula to find Span Length given Horizontal Component of Cable Tension for UDL?

The formula of Span Length given Horizontal Component of Cable Tension for UDL is expressed as Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load). Here is an example- 15 = sqrt((8*5*56250)/10000).

How to calculate Span Length given Horizontal Component of Cable Tension for UDL?

With Sag of Cable at Midway between Supports (f), Cable Tension for UDL (T_{cable udl}) & Uniformly Distributed Load (q) we can find Span Length given Horizontal Component of Cable Tension for UDL using the formula - Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Cable Span?

Here are the different ways to Calculate Cable Span-

Cable Span=Vertical Reaction at Supports*2/Uniformly Distributed Load

Can the Span Length given Horizontal Component of Cable Tension for UDL be negative?

No, the Span Length given Horizontal Component of Cable Tension for UDL, measured in Length cannot be negative.

Which unit is used to measure Span Length given Horizontal Component of Cable Tension for UDL?

Span Length given Horizontal Component of Cable Tension for UDL is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Span Length given Horizontal Component of Cable Tension for UDL can be measured.

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Span Length given Horizontal Component of Cable Tension for UDL Formula

​GoSpan Length given Vertical Reaction at Supports Formula

Span Length given Horizontal Component of Cable Tension for UDL Example

Span Length given Horizontal Component of Cable Tension for UDL Solution

Span Length given Horizontal Component of Cable Tension for UDL Formula Elements

Other Formulas to find Cable Span

Other formulas in Supports at Same Level category

How to Evaluate Span Length given Horizontal Component of Cable Tension for UDL?

FAQs on Span Length given Horizontal Component of Cable Tension for UDL

Variable Name

GoSpan Length given Vertical Reaction at Supports Formula