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Prestressing Force given Uniform Load Formula

GoPrestressing Force given Compressive Stress Formula

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

F = w b \cdot \frac{L^{2}}{8 \cdot L s}

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

Prestressing Force given Uniform Load Example

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With units

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Here is how the Prestressing Force given Uniform Load equation looks like with Values.

Here is how the Prestressing Force given Uniform Load equation looks like with Units.

Here is how the Prestressing Force given Uniform Load equation looks like.

384.6154 = 0.64 \cdot \frac{5^{2}}{8 \cdot 5.2}

384.6154kN = 0.64kN/m \cdot \frac{{5m}^{2}}{8 \cdot 5.2m}

384.6154 = 0.64 \cdot \frac{5^{2}}{8 \cdot 5.2}

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Prestressing Force given Uniform Load Solution

Follow our step by step solution on how to calculate Prestressing Force given Uniform Load?

FIRST Step Consider the formula

F = w b \cdot \frac{L^{2}}{8 \cdot L s}

Next Step Substitute values of Variables

∴

F = 0.64kN/m \cdot \frac{{5m}^{2}}{8 \cdot 5.2m}

Next Step Convert Units

∴

F = 640N/m \cdot \frac{{5m}^{2}}{8 \cdot 5.2m}

Next Step Prepare to Evaluate

∴

F = 640 \cdot \frac{5^{2}}{8 \cdot 5.2}

Next Step Evaluate

∴

F = 384615.384615385N

Next Step Convert to Output's Unit

∴

F = 384.615384615385kN

LAST Step Rounding Answer

∴

F = 384.6154kN

Prestressing Force given Uniform Load Formula Elements

Variables

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

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

Other Formulas to find Prestressing Force

Go Prestressing Force given Compressive Stress

F = A \cdot σ c

Other formulas in General Principles of Prestressed Concrete category

Go Uniform Compressive Stress due to Prestress

σ c = \frac{F}{A}

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})

Go External Moment with Known Compressive Stress

M = f \cdot \frac{I a}{y}

How to Evaluate Prestressing Force given Uniform Load?

Prestressing Force given Uniform Load evaluator uses Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable) to evaluate the Prestressing Force, The Prestressing Force given Uniform Load is force directly acted on prestressed member on cross sectional area of section considered. Prestressing Force is denoted by F symbol.

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

FAQs on Prestressing Force given Uniform Load

What is the formula to find Prestressing Force given Uniform Load?

The formula of Prestressing Force given Uniform Load is expressed as Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable). Here is an example- 0.4 = 640*5^2/(8*5.2).

How to calculate Prestressing Force given Uniform Load?

With Uniform Load (w_b), Span Length (L) & Sag Length of Cable (L_s) we can find Prestressing Force given Uniform Load using the formula - Prestressing Force = Uniform Load*Span Length^2/(8*Sag Length of Cable).

What are the other ways to Calculate Prestressing Force?

Here are the different ways to Calculate Prestressing Force-

Prestressing Force=Area of Beam Section*Compressive Stress in Prestress

Can the Prestressing Force given Uniform Load be negative?

No, the Prestressing Force given Uniform Load, measured in Force cannot be negative.

Which unit is used to measure Prestressing Force given Uniform Load?

Prestressing Force given Uniform Load is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Prestressing Force given Uniform Load can be measured.

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Prestressing Force given Uniform Load Formula

​GoPrestressing Force given Compressive Stress Formula

Prestressing Force given Uniform Load Example

Prestressing Force given Uniform Load Solution

Prestressing Force given Uniform Load Formula Elements

Other Formulas to find Prestressing Force

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate Prestressing Force given Uniform Load?

FAQs on Prestressing Force given Uniform Load

Variable Name

GoPrestressing Force given Compressive Stress Formula