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Area of Concrete Section given Prestress Drop Formula

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Concrete Occupied Area is area of concrete in design of section. Check FAQs

A c = m Elastic \cdot \frac{P B}{Δf p}

A_c - Concrete Occupied Area?m_Elastic - Modular Ratio for Elastic Shortening?P_B - Prestress Force?Δf_p - Prestress Drop?

Area of Concrete Section given Prestress Drop Example

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Here is how the Area of Concrete Section given Prestress Drop equation looks like with Values.

Here is how the Area of Concrete Section given Prestress Drop equation looks like with Units.

Here is how the Area of Concrete Section given Prestress Drop equation looks like.

12 = 0.6 \cdot \frac{200}{10}

12m² = 0.6 \cdot \frac{200kN}{10MPa}

12 = 0.6 \cdot \frac{200}{10}

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Area of Concrete Section given Prestress Drop Solution

Follow our step by step solution on how to calculate Area of Concrete Section given Prestress Drop?

FIRST Step Consider the formula

A c = m Elastic \cdot \frac{P B}{Δf p}

Next Step Substitute values of Variables

∴

A c = 0.6 \cdot \frac{200kN}{10MPa}

Next Step Convert Units

∴

A c = 0.6 \cdot \frac{200kN}{10N/mm²}

Next Step Prepare to Evaluate

∴

A c = 0.6 \cdot \frac{200}{10}

LAST Step Evaluate

∴

A c = 12m²

Area of Concrete Section given Prestress Drop Formula Elements

Variables

Concrete Occupied Area

Concrete Occupied Area is area of concrete in design of section.

Symbol: A_c

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Concrete Occupied Area

Modular Ratio for Elastic Shortening

Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.

Symbol: m_Elastic

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Modular Ratio for Elastic Shortening

Prestress Force

Prestress Force is the force acted on the tendon B if multiple tendons are used in a section.

Symbol: P_B

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Prestress Force

Prestress Drop

Prestress Drop is the drop in applied prestress force due to strain in tendons.

Symbol: Δf_p

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Prestress Drop

How to Evaluate Area of Concrete Section given Prestress Drop?

Area of Concrete Section given Prestress Drop evaluator uses Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop) to evaluate the Concrete Occupied Area, The Area of Concrete Section given Prestress Drop is defined as area of concrete section affected by prestress reduction due to relaxation or other factors, impacting structural performance. Concrete Occupied Area is denoted by A_c symbol.

How to evaluate Area of Concrete Section given Prestress Drop using this online evaluator? To use this online evaluator for Area of Concrete Section given Prestress Drop, enter Modular Ratio for Elastic Shortening (m_Elastic), Prestress Force (P_B) & Prestress Drop (Δf_p) and hit the calculate button.

FAQs on Area of Concrete Section given Prestress Drop

What is the formula to find Area of Concrete Section given Prestress Drop?

The formula of Area of Concrete Section given Prestress Drop is expressed as Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop). Here is an example- 12 = 0.6*200000/(10000000).

How to calculate Area of Concrete Section given Prestress Drop?

With Modular Ratio for Elastic Shortening (m_Elastic), Prestress Force (P_B) & Prestress Drop (Δf_p) we can find Area of Concrete Section given Prestress Drop using the formula - Concrete Occupied Area = Modular Ratio for Elastic Shortening*Prestress Force/(Prestress Drop).

Can the Area of Concrete Section given Prestress Drop be negative?

No, the Area of Concrete Section given Prestress Drop, measured in Area cannot be negative.

Which unit is used to measure Area of Concrete Section given Prestress Drop?

Area of Concrete Section given Prestress Drop is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Concrete Section given Prestress Drop can be measured.

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Area of Concrete Section given Prestress Drop Formula

Area of Concrete Section given Prestress Drop Example

Area of Concrete Section given Prestress Drop Solution

Area of Concrete Section given Prestress Drop Formula Elements

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How to Evaluate Area of Concrete Section given Prestress Drop?

FAQs on Area of Concrete Section given Prestress Drop

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