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Length of Span given Uniform Load Formula

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Span Length is the end to end distance between any beam or slab. Check FAQs

L = \sqrt{8 \cdot L s \cdot \frac{F}{w b}}

L - Span Length?L_s - Sag Length of Cable?F - Prestressing Force?w_b - Uniform Load?

Length of Span given Uniform Load Example

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Here is how the Length of Span given Uniform Load equation looks like with Values.

Here is how the Length of Span given Uniform Load equation looks like with Units.

Here is how the Length of Span given Uniform Load equation looks like.

5.099 = \sqrt{8 \cdot 5.2 \cdot \frac{400}{0.64}}

5.099m = \sqrt{8 \cdot 5.2m \cdot \frac{400kN}{0.64kN/m}}

5.099 = \sqrt{8 \cdot 5.2 \cdot \frac{400}{0.64}}

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Length of Span given Uniform Load Solution

Follow our step by step solution on how to calculate Length of Span given Uniform Load?

FIRST Step Consider the formula

L = \sqrt{8 \cdot L s \cdot \frac{F}{w b}}

Next Step Substitute values of Variables

∴

L = \sqrt{8 \cdot 5.2m \cdot \frac{400kN}{0.64kN/m}}

Next Step Convert Units

∴

L = \sqrt{8 \cdot 5.2m \cdot \frac{400kN}{640N/m}}

Next Step Prepare to Evaluate

∴

L = \sqrt{8 \cdot 5.2 \cdot \frac{400}{640}}

Next Step Evaluate

∴

L = 5.09901951359278m

LAST Step Rounding Answer

∴

L = 5.099m

Length of Span given Uniform Load Formula Elements

Variables

Functions

Span Length

Span Length is the end to end distance between any beam or slab.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Span Length

Sag Length of Cable

Sag Length of Cable is the length measured at Midway between Supports is vertical sag at midpoint of cable.

Symbol: L_s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Sag Length of Cable

Prestressing Force

Prestressing Force is the force internally applied to the prestressed concrete section.

Symbol: F

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestressing Force

Uniform Load

Uniform Load is a load that is distributed or spread across the whole region of an element such as a beam or slab.

Symbol: w_b

Measurement: Surface TensionUnit: kN/m

Note: Value should be greater than 0.

Formulas to find Uniform 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 in General Principles of Prestressed Concrete category

Go Uniform Compressive Stress due to Prestress

σ c = \frac{F}{A}

Go Prestressing Force given Compressive Stress

F = A \cdot σ c

Go Cross Sectional Area given Compressive Stress

A = \frac{F}{σ c}

Go Compressive Stress due to External Moment

f = M b \cdot (\frac{y}{I a})

How to Evaluate Length of Span given Uniform Load?

Length of Span given Uniform Load evaluator uses Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load) to evaluate the Span Length, The Length of Span given Uniform Load is defined as end to end distance between beam or slab when supported using two end supports. Span Length is denoted by L symbol.

How to evaluate Length of Span given Uniform Load using this online evaluator? To use this online evaluator for Length of Span given Uniform Load, enter Sag Length of Cable (L_s), Prestressing Force (F) & Uniform Load (w_b) and hit the calculate button.

FAQs on Length of Span given Uniform Load

What is the formula to find Length of Span given Uniform Load?

The formula of Length of Span given Uniform Load is expressed as Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load). Here is an example- 5 = sqrt(8*5.2*400000/640).

How to calculate Length of Span given Uniform Load?

With Sag Length of Cable (L_s), Prestressing Force (F) & Uniform Load (w_b) we can find Length of Span given Uniform Load using the formula - Span Length = sqrt(8*Sag Length of Cable*Prestressing Force/Uniform Load). This formula also uses Square Root (sqrt) function(s).

Can the Length of Span given Uniform Load be negative?

No, the Length of Span given Uniform Load, measured in Length cannot be negative.

Which unit is used to measure Length of Span given Uniform Load?

Length of Span given Uniform Load is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Span given Uniform Load can be measured.

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Length of Span given Uniform Load Formula

Length of Span given Uniform Load Example

Length of Span given Uniform Load Solution

Length of Span given Uniform Load Formula Elements

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate Length of Span given Uniform Load?

FAQs on Length of Span given Uniform Load

Variable Name