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

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

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

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

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

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Here is how the Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section equation looks like with Values.

Here is how the Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section equation looks like with Units.

Here is how the Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section equation looks like.

20 = (4500.14 - 1000 - (\frac{210000}{30000}) \cdot 500) \cdot (\frac{30000}{210})

20mm² = (4500.14mm² - 1000mm² - (\frac{210000MPa}{30000MPa}) \cdot 500mm²) \cdot (\frac{30000MPa}{210MPa})

20 = (4500.14 - 1000 - (\frac{210000}{30000}) \cdot 500) \cdot (\frac{30000}{210})

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

Follow our step by step solution on how to calculate Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

As = (4500.14mm² - 1000mm² - (\frac{210000MPa}{30000MPa}) \cdot 500mm²) \cdot (\frac{30000MPa}{210MPa})

Next Step Convert Units

∴

As = (0.0045m² - 0.001m² - (\frac{2.1E+11Pa}{3E+10Pa}) \cdot 0.0005m²) \cdot (\frac{3E+10Pa}{2.1E+8Pa})

Next Step Prepare to Evaluate

∴

As = (0.0045 - 0.001 - (\frac{2.1E+11}{3E+10}) \cdot 0.0005) \cdot (\frac{3E+10}{2.1E+8})

Next Step Evaluate

∴

As = 1.99999999999432E-05m²

Next Step Convert to Output's Unit

∴

As = 19.9999999999432mm²

LAST Step Rounding Answer

∴

As = 20mm²

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

Variables

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

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 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

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 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

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

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 Non-Prestressed Reinforcement in Partially Prestressed Members

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

How to Evaluate Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section?

Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section evaluator uses Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Prestressing Steel) to evaluate the Area of Prestressing Steel, The Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section is defined as the area of prestressing tendons used in partially prestressed members. Area of Prestressing Steel is denoted by As symbol.

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

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

What is the formula to find Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section?

The formula of Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section is expressed as Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Prestressing Steel). Here is an example- 2E+7 = (0.00450014-0.001-(210000000000/30000000000)*0.0005)*(30000000000/210000000).

How to calculate Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section?

With Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T), Modulus of Elasticity of Steel (E_s), Modulus of Elasticity of Concrete (E_c), Area of Reinforcement (A_s) & Modulus of Elasticity of Prestressing Steel (E_P) we can find Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section using the formula - Area of Prestressing Steel = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Prestressing Steel).

Can the Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section be negative?

No, the Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section, measured in Area cannot be negative.

Which unit is used to measure Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section?

Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section 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 Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section can be measured.

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

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

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

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

Other formulas in Geometrics Properties category

How to Evaluate Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section?

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

Variable Name