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

GoUDL given Vertical Reaction at Supports 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 = \frac{T cable udl \cdot 8 \cdot f}{{(L span)}^{2}}

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

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

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Here is how the Uniformly distributed Load given Horizontal Component of Cable Tension for UDL equation looks like with Values.

Here is how the Uniformly distributed Load given Horizontal Component of Cable Tension for UDL equation looks like with Units.

Here is how the Uniformly distributed Load given Horizontal Component of Cable Tension for UDL equation looks like.

10 = \frac{56.25 \cdot 8 \cdot 5}{{(15)}^{2}}

10kN/m = \frac{56.25kN \cdot 8 \cdot 5m}{{(15m)}^{2}}

10 = \frac{56.25 \cdot 8 \cdot 5}{{(15)}^{2}}

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

Follow our step by step solution on how to calculate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

q = \frac{56.25kN \cdot 8 \cdot 5m}{{(15m)}^{2}}

Next Step Convert Units

∴

q = \frac{56250N \cdot 8 \cdot 5m}{{(15m)}^{2}}

Next Step Prepare to Evaluate

∴

q = \frac{56250 \cdot 8 \cdot 5}{{(15)}^{2}}

Next Step Evaluate

∴

q = 10000N/m

LAST Step Convert to Output's Unit

∴

q = 10kN/m

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL 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

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

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 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 UDL given Vertical Reaction at Supports

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

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

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL evaluator uses Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2 to evaluate the Uniformly Distributed Load, The Uniformly distributed Load given Horizontal Component of Cable Tension for UDL formula is defined as the total load acting on the cable per meter span length of the cable. Uniformly Distributed Load is denoted by q symbol.

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

FAQs on Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

What is the formula to find Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?

The formula of Uniformly distributed Load given Horizontal Component of Cable Tension for UDL is expressed as Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2. Here is an example- 0.01 = (56250*8*5)/(15)^2.

How to calculate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?

With Cable Tension for UDL (T_{cable udl}), Sag of Cable at Midway between Supports (f) & Cable Span (L_span) we can find Uniformly distributed Load given Horizontal Component of Cable Tension for UDL using the formula - Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2.

What are the other ways to Calculate Uniformly Distributed Load?

Here are the different ways to Calculate Uniformly Distributed Load-

Uniformly Distributed Load=2*Vertical Reaction at Supports/Cable Span
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 Uniformly distributed Load given Horizontal Component of Cable Tension for UDL be negative?

Yes, the Uniformly distributed Load given Horizontal Component of Cable Tension for UDL, measured in Surface Tension can be negative.

Which unit is used to measure Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?

Uniformly distributed Load given Horizontal Component of Cable Tension for 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 Uniformly distributed Load given Horizontal Component of Cable Tension for UDL can be measured.

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

​GoUDL given Vertical Reaction at Supports Formula

​GoUDL given Maximum Reactions at Supports Formula

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

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

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL Formula Elements

Other Formulas to find Uniformly Distributed Load

Other formulas in Supports at Same Level category

How to Evaluate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?

FAQs on Uniformly distributed Load given Horizontal Component of Cable Tension for UDL

Variable Name

GoUDL given Vertical Reaction at Supports Formula

GoUDL given Maximum Reactions at Supports Formula