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Cross Sectional Area given Compressive Stress Formula

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Area of Beam Section here refers to the area of cross section of the concrete section where the prestressing force was applied. Check FAQs

A = \frac{F}{σ c}

A - Area of Beam Section?F - Prestressing Force?σ_c - Compressive Stress in Prestress?

Cross Sectional Area given Compressive Stress Example

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Here is how the Cross Sectional Area given Compressive Stress equation looks like with Values.

Here is how the Cross Sectional Area given Compressive Stress equation looks like with Units.

Here is how the Cross Sectional Area given Compressive Stress equation looks like.

200 = \frac{400}{2}

200mm² = \frac{400kN}{2Pa}

200 = \frac{400}{2}

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Cross Sectional Area given Compressive Stress Solution

Follow our step by step solution on how to calculate Cross Sectional Area given Compressive Stress?

FIRST Step Consider the formula

A = \frac{F}{σ c}

Next Step Substitute values of Variables

∴

A = \frac{400kN}{2Pa}

Next Step Prepare to Evaluate

∴

A = \frac{400}{2}

Next Step Evaluate

∴

A = 0.0002m²

LAST Step Convert to Output's Unit

∴

A = 200mm²

Cross Sectional Area given Compressive Stress Formula Elements

Variables

Area of Beam Section

Area of Beam Section here refers to the area of cross section of the concrete section where the prestressing force was applied.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Beam Section

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

Compressive Stress in Prestress

Compressive Stress in Prestress is the force that is responsible for the deformation of the material such that the volume of the material reduces.

Symbol: σ_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Compressive Stress in Prestress

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 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 Cross Sectional Area given Compressive Stress?

Cross Sectional Area given Compressive Stress evaluator uses Area of Beam Section = Prestressing Force/Compressive Stress in Prestress to evaluate the Area of Beam Section, Cross Sectional Area given Compressive Stress is product of width and depth of prestressed section. Area of Beam Section is denoted by A symbol.

How to evaluate Cross Sectional Area given Compressive Stress using this online evaluator? To use this online evaluator for Cross Sectional Area given Compressive Stress, enter Prestressing Force (F) & Compressive Stress in Prestress (σ_c) and hit the calculate button.

FAQs on Cross Sectional Area given Compressive Stress

What is the formula to find Cross Sectional Area given Compressive Stress?

The formula of Cross Sectional Area given Compressive Stress is expressed as Area of Beam Section = Prestressing Force/Compressive Stress in Prestress. Here is an example- 1.1E+8 = 400000/2.

How to calculate Cross Sectional Area given Compressive Stress?

With Prestressing Force (F) & Compressive Stress in Prestress (σ_c) we can find Cross Sectional Area given Compressive Stress using the formula - Area of Beam Section = Prestressing Force/Compressive Stress in Prestress.

Can the Cross Sectional Area given Compressive Stress be negative?

No, the Cross Sectional Area given Compressive Stress, measured in Area cannot be negative.

Which unit is used to measure Cross Sectional Area given Compressive Stress?

Cross Sectional Area given Compressive Stress is usually measured using the Square Millimeter[mm²] for Area. Square Meter[mm²], Square Kilometer[mm²], Square Centimeter[mm²] are the few other units in which Cross Sectional Area given Compressive Stress can be measured.

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Cross Sectional Area given Compressive Stress Formula

Cross Sectional Area given Compressive Stress Example

Cross Sectional Area given Compressive Stress Solution

Cross Sectional Area given Compressive Stress Formula Elements

Other formulas in General Principles of Prestressed Concrete category

How to Evaluate Cross Sectional Area given Compressive Stress?

FAQs on Cross Sectional Area given Compressive Stress

Variable Name