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UDL given Vertical Reaction at Supports Formula

GoUniformly distributed Load given Horizontal Component of Cable Tension for UDL Formula

GoUDL given Maximum Reactions at Supports 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 = 2 \cdot \frac{V R}{L span}

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

UDL given Vertical Reaction at Supports Example

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

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

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

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

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

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

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UDL given Vertical Reaction at Supports Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q = 2 \cdot \frac{75kN}{15m}

Next Step Convert Units

∴

q = 2 \cdot \frac{75000N}{15m}

Next Step Prepare to Evaluate

∴

q = 2 \cdot \frac{75000}{15}

Next Step Evaluate

∴

q = 10000N/m

LAST Step Convert to Output's Unit

∴

q = 10kN/m

UDL given Vertical Reaction at Supports Formula Elements

Variables

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

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

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

Other Formulas to find Uniformly Distributed Load

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 UDL given Maximum Reactions at Supports

q = \frac{T max}{(\frac{L span}{2}) \cdot \sqrt{1 + (\frac{{L span}^{2}}{16 \cdot f^{2}})}}

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 Span Length given Horizontal Component of Cable Tension for UDL

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

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 UDL given Vertical Reaction at Supports?

UDL given Vertical Reaction at Supports evaluator uses Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span to evaluate the Uniformly Distributed Load, The UDL given Vertical Reaction at Supports formula is defined as the total load per meter length of cable in horizontal direction acting on cable. Uniformly Distributed Load is denoted by q symbol.

How to evaluate UDL given Vertical Reaction at Supports using this online evaluator? To use this online evaluator for UDL given Vertical Reaction at Supports, enter Vertical Reaction at Supports (V_R) & Cable Span (L_span) and hit the calculate button.

FAQs on UDL given Vertical Reaction at Supports

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

The formula of UDL given Vertical Reaction at Supports is expressed as Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span. Here is an example- 0.01 = 2*75000/15.

How to calculate UDL given Vertical Reaction at Supports?

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

What are the other ways to Calculate Uniformly Distributed Load?

Here are the different ways to Calculate Uniformly Distributed Load-

Uniformly Distributed Load=(Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2
Uniformly Distributed Load=Maximum Value of Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))))

Can the UDL given Vertical Reaction at Supports be negative?

Yes, the UDL given Vertical Reaction at Supports, measured in Surface Tension can be negative.

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

UDL given Vertical Reaction at Supports 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 Vertical Reaction at Supports can be measured.

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