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Span Length given Vertical Reaction at Supports Formula

GoSpan Length given Horizontal Component of Cable Tension for UDL Formula

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

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

L_span - Cable Span?V_R - Vertical Reaction at Supports?q - Uniformly Distributed Load?

Span Length given Vertical Reaction at Supports Example

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Here is how the Span Length given Vertical Reaction at Supports equation looks like with Values.

Here is how the Span Length given Vertical Reaction at Supports equation looks like with Units.

Here is how the Span Length given Vertical Reaction at Supports equation looks like.

15 = 75 \cdot \frac{2}{10}

15m = 75kN \cdot \frac{2}{10kN/m}

15 = 75 \cdot \frac{2}{10}

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Span Length given Vertical Reaction at Supports Solution

Follow our step by step solution on how to calculate Span Length given Vertical Reaction at Supports?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L span = 75kN \cdot \frac{2}{10kN/m}

Next Step Convert Units

∴

L span = 75000N \cdot \frac{2}{10000N/m}

Next Step Prepare to Evaluate

∴

L span = 75000 \cdot \frac{2}{10000}

LAST Step Evaluate

∴

L span = 15m

Span Length given Vertical Reaction at Supports Formula Elements

Variables

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

Vertical Reaction at Supports

Vertical reaction at supports is total reaction in vertical direction.

Symbol: V_R

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Vertical Reaction at Supports

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

Other Formulas to find Cable Span

Go Span Length given Horizontal Component of Cable Tension for UDL

L span = \sqrt{\frac{8 \cdot f \cdot T cable udl}{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 Vertical Reaction at Supports?

Span Length given Vertical Reaction at Supports evaluator uses Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load to evaluate the Cable Span, The Span Length given Vertical Reaction at Supports is defined as total vertical force acting to support the cable. Cable Span is denoted by L_span symbol.

How to evaluate Span Length given Vertical Reaction at Supports using this online evaluator? To use this online evaluator for Span Length given Vertical Reaction at Supports, enter Vertical Reaction at Supports (V_R) & Uniformly Distributed Load (q) and hit the calculate button.

FAQs on Span Length given Vertical Reaction at Supports

What is the formula to find Span Length given Vertical Reaction at Supports?

The formula of Span Length given Vertical Reaction at Supports is expressed as Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load. Here is an example- 15 = 75000*2/10000.

How to calculate Span Length given Vertical Reaction at Supports?

With Vertical Reaction at Supports (V_R) & Uniformly Distributed Load (q) we can find Span Length given Vertical Reaction at Supports using the formula - Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load.

What are the other ways to Calculate Cable Span?

Here are the different ways to Calculate Cable Span-

Cable Span=sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load)

Can the Span Length given Vertical Reaction at Supports be negative?

No, the Span Length given Vertical Reaction at Supports, measured in Length cannot be negative.

Which unit is used to measure Span Length given Vertical Reaction at Supports?

Span Length given Vertical Reaction at Supports 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 Vertical Reaction at Supports can be measured.

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