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Area of Non-Prestressed Reinforcement in Partially Prestressed Members Formula

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Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied. Check FAQs

A s = (A t - A T - (\frac{E P}{E c}) \cdot As) \cdot (\frac{E c}{E s})

A_s - Area of Reinforcement?A_t - Transformed Area of Prestressed Member?A_T - Transformed Area of Concrete?E_P - Modulus of Elasticity of Prestressing Steel?E_c - Modulus of Elasticity of Concrete?As - Area of Prestressing Steel?E_s - Modulus of Elasticity of Steel?

Area of Non-Prestressed Reinforcement in Partially Prestressed Members Example

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Here is how the Area of Non-Prestressed Reinforcement in Partially Prestressed Members equation looks like with Values.

Here is how the Area of Non-Prestressed Reinforcement in Partially Prestressed Members equation looks like with Units.

Here is how the Area of Non-Prestressed Reinforcement in Partially Prestressed Members equation looks like.

499.9998 = (4500.14 - 1000 - (\frac{210}{30000}) \cdot 20.2) \cdot (\frac{30000}{210000})

499.9998mm² = (4500.14mm² - 1000mm² - (\frac{210MPa}{30000MPa}) \cdot 20.2mm²) \cdot (\frac{30000MPa}{210000MPa})

499.9998 = (4500.14 - 1000 - (\frac{210}{30000}) \cdot 20.2) \cdot (\frac{30000}{210000})

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Area of Non-Prestressed Reinforcement in Partially Prestressed Members Solution

Follow our step by step solution on how to calculate Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

FIRST Step Consider the formula

A s = (A t - A T - (\frac{E P}{E c}) \cdot As) \cdot (\frac{E c}{E s})

Next Step Substitute values of Variables

∴

A s = (4500.14mm² - 1000mm² - (\frac{210MPa}{30000MPa}) \cdot 20.2mm²) \cdot (\frac{30000MPa}{210000MPa})

Next Step Convert Units

∴

A s = (0.0045m² - 0.001m² - (\frac{2.1E+8Pa}{3E+10Pa}) \cdot 2E-5m²) \cdot (\frac{3E+10Pa}{2.1E+11Pa})

Next Step Prepare to Evaluate

∴

A s = (0.0045 - 0.001 - (\frac{2.1E+8}{3E+10}) \cdot 2E-5) \cdot (\frac{3E+10}{2.1E+11})

Next Step Evaluate

∴

A s = 0.0004999998m²

LAST Step Convert to Output's Unit

∴

A s = 499.9998mm²

Area of Non-Prestressed Reinforcement in Partially Prestressed Members Formula Elements

Variables

Area of Reinforcement

Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.

Symbol: A_s

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Reinforcement

Transformed Area of Prestressed Member

The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.

Symbol: A_t

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Transformed Area of Prestressed Member

Transformed Area of Concrete

Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.

Symbol: A_T

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Transformed Area of Concrete

Modulus of Elasticity of Prestressing Steel

The modulus of elasticity of prestressing steel is a characteristic that assesses prestressing steel's resistance to deformation under load. It is the ratio of stress to strain.

Symbol: E_P

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Prestressing Steel

Modulus of Elasticity of Concrete

The modulus of elasticity of concrete is a characteristic that assesses concrete resistance to deformation under load. It is the ratio of stress to strain.

Symbol: E_c

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Concrete

Area of Prestressing Steel

Area of Prestressing Steel is the total cross sectional area of tendons.

Symbol: As

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Area of Prestressing Steel

Modulus of Elasticity of Steel

The Modulus of Elasticity of Steel is a characteristic that assesses steel's resistance to deformation under load. It is the ratio of stress to strain.

Symbol: E_s

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel

Other formulas in Geometrics Properties category

Go Transformed Area of Partially Prestressed Members

A t = A T + (\frac{E s}{E c}) \cdot A s + (\frac{E P}{E c}) \cdot As

Go Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section

As = (A t - A T - (\frac{E s}{E c}) \cdot A s) \cdot (\frac{E c}{E P})

How to Evaluate Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

Area of Non-Prestressed Reinforcement in Partially Prestressed Members evaluator uses Area of Reinforcement = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Steel) to evaluate the Area of Reinforcement, The Area of Non-Prestressed Reinforcement in Partially Prestressed Members is defined as the area of conventional steel used in partially prestressed member which is not used as a prestressing tendon or wire. Area of Reinforcement is denoted by A_s symbol.

How to evaluate Area of Non-Prestressed Reinforcement in Partially Prestressed Members using this online evaluator? To use this online evaluator for Area of Non-Prestressed Reinforcement in Partially Prestressed Members, enter Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T), Modulus of Elasticity of Prestressing Steel (E_P), Modulus of Elasticity of Concrete (E_c), Area of Prestressing Steel (As) & Modulus of Elasticity of Steel (E_s) and hit the calculate button.

FAQs on Area of Non-Prestressed Reinforcement in Partially Prestressed Members

What is the formula to find Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

The formula of Area of Non-Prestressed Reinforcement in Partially Prestressed Members is expressed as Area of Reinforcement = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Steel). Here is an example- 5E+8 = (0.00450014-0.001-(210000000/30000000000)*2.02E-05)*(30000000000/210000000000).

How to calculate Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

With Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T), Modulus of Elasticity of Prestressing Steel (E_P), Modulus of Elasticity of Concrete (E_c), Area of Prestressing Steel (As) & Modulus of Elasticity of Steel (E_s) we can find Area of Non-Prestressed Reinforcement in Partially Prestressed Members using the formula - Area of Reinforcement = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Steel).

Can the Area of Non-Prestressed Reinforcement in Partially Prestressed Members be negative?

No, the Area of Non-Prestressed Reinforcement in Partially Prestressed Members, measured in Area cannot be negative.

Which unit is used to measure Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

Area of Non-Prestressed Reinforcement in Partially Prestressed Members 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 Area of Non-Prestressed Reinforcement in Partially Prestressed Members can be measured.

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Area of Non-Prestressed Reinforcement in Partially Prestressed Members Formula

Area of Non-Prestressed Reinforcement in Partially Prestressed Members Example

Area of Non-Prestressed Reinforcement in Partially Prestressed Members Solution

Area of Non-Prestressed Reinforcement in Partially Prestressed Members Formula Elements

Other formulas in Geometrics Properties category

How to Evaluate Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

FAQs on Area of Non-Prestressed Reinforcement in Partially Prestressed Members

Variable Name