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UDL given Tension at Midspan for UDL on Parabolic Cable Formula

GoUDL given Parabolic Equation for Cable Slope 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 = 8 \cdot T mid \cdot \frac{d}{{L span}^{2}}

q - Uniformly Distributed Load?T_mid - Tension at Midspan?d - Maximum Sag?L_span - Cable Span?

UDL given Tension at Midspan for UDL on Parabolic Cable Example

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Here is how the UDL given Tension at Midspan for UDL on Parabolic Cable equation looks like with Values.

Here is how the UDL given Tension at Midspan for UDL on Parabolic Cable equation looks like with Units.

Here is how the UDL given Tension at Midspan for UDL on Parabolic Cable equation looks like.

10.0352 = 8 \cdot 196 \cdot \frac{1.44}{15^{2}}

10.0352kN/m = 8 \cdot 196kN \cdot \frac{1.44m}{{15m}^{2}}

10.0352 = 8 \cdot 196 \cdot \frac{1.44}{15^{2}}

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UDL given Tension at Midspan for UDL on Parabolic Cable Solution

Follow our step by step solution on how to calculate UDL given Tension at Midspan for UDL on Parabolic Cable?

FIRST Step Consider the formula

q = 8 \cdot T mid \cdot \frac{d}{{L span}^{2}}

Next Step Substitute values of Variables

∴

q = 8 \cdot 196kN \cdot \frac{1.44m}{{15m}^{2}}

Next Step Convert Units

∴

q = 8 \cdot 196000N \cdot \frac{1.44m}{{15m}^{2}}

Next Step Prepare to Evaluate

∴

q = 8 \cdot 196000 \cdot \frac{1.44}{15^{2}}

Next Step Evaluate

∴

q = 10035.2N/m

LAST Step Convert to Output's Unit

∴

q = 10.0352kN/m

UDL given Tension at Midspan for UDL on Parabolic Cable 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

Tension at Midspan

Tension at midspan is the total tension acting in cable at midpoint.

Symbol: T_mid

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Tension at Midspan

Maximum Sag

Maximum Sag is the maximum catenary or the greatest amount of sag that can be allowed in the cable system.

Symbol: d

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Sag

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 Parabolic Equation for Cable Slope

q = \frac{y \cdot 2 \cdot T mid}{{(x)}^{2}}

Other formulas in Parabola category

Go Tension at Midspan given Parabolic Equation for Cable Slope

T mid = \frac{q \cdot x^{2}}{2 \cdot y}

How to Evaluate UDL given Tension at Midspan for UDL on Parabolic Cable?

UDL given Tension at Midspan for UDL on Parabolic Cable evaluator uses Uniformly Distributed Load = 8*Tension at Midspan*Maximum Sag/(Cable Span^2) to evaluate the Uniformly Distributed Load, The UDL given Tension at Midspan for UDL on Parabolic Cable formula is defined as the 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 Midspan for UDL on Parabolic Cable using this online evaluator? To use this online evaluator for UDL given Tension at Midspan for UDL on Parabolic Cable, enter Tension at Midspan (T_mid), Maximum Sag (d) & Cable Span (L_span) and hit the calculate button.

FAQs on UDL given Tension at Midspan for UDL on Parabolic Cable

What is the formula to find UDL given Tension at Midspan for UDL on Parabolic Cable?

The formula of UDL given Tension at Midspan for UDL on Parabolic Cable is expressed as Uniformly Distributed Load = 8*Tension at Midspan*Maximum Sag/(Cable Span^2). Here is an example- 0.010035 = 8*196000*1.44/(15^2).

How to calculate UDL given Tension at Midspan for UDL on Parabolic Cable?

With Tension at Midspan (T_mid), Maximum Sag (d) & Cable Span (L_span) we can find UDL given Tension at Midspan for UDL on Parabolic Cable using the formula - Uniformly Distributed Load = 8*Tension at Midspan*Maximum Sag/(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=(Parabolic Equation of Cable Slope*2*Tension at Midspan)/(Distance from Midpoint of Cable)^2

Can the UDL given Tension at Midspan for UDL on Parabolic Cable be negative?

Yes, the UDL given Tension at Midspan for UDL on Parabolic Cable, measured in Surface Tension can be negative.

Which unit is used to measure UDL given Tension at Midspan for UDL on Parabolic Cable?

UDL given Tension at Midspan for UDL on Parabolic Cable 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 Midspan for UDL on Parabolic Cable can be measured.

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UDL given Tension at Midspan for UDL on Parabolic Cable Formula

​GoUDL given Parabolic Equation for Cable Slope Formula

UDL given Tension at Midspan for UDL on Parabolic Cable Example

UDL given Tension at Midspan for UDL on Parabolic Cable Solution

UDL given Tension at Midspan for UDL on Parabolic Cable Formula Elements

Other Formulas to find Uniformly Distributed Load

Other formulas in Parabola category

How to Evaluate UDL given Tension at Midspan for UDL on Parabolic Cable?

FAQs on UDL given Tension at Midspan for UDL on Parabolic Cable

Variable Name

GoUDL given Parabolic Equation for Cable Slope Formula