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Area of Non-Prestressed Reinforcement given Stress in Concrete 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 = ((\frac{P o}{f concrete}) + A T) \cdot (\frac{E concrete}{E s})

A_s - Area of Reinforcement?P_o - Prestress at Transfer?f_concrete - Stress in Concrete Section?A_T - Transformed Area of Concrete?E_concrete - Modulus of Elasticity Concrete?E_s - Modulus of Elasticity of Steel?

Area of Non-Prestressed Reinforcement given Stress in Concrete Example

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Here is how the Area of Non-Prestressed Reinforcement given Stress in Concrete equation looks like with Values.

Here is how the Area of Non-Prestressed Reinforcement given Stress in Concrete equation looks like with Units.

Here is how the Area of Non-Prestressed Reinforcement given Stress in Concrete equation looks like.

0.4762 = ((\frac{100}{16.6}) + 1000) \cdot (\frac{100}{210000})

0.4762mm² = ((\frac{100kN}{16.6MPa}) + 1000mm²) \cdot (\frac{100MPa}{210000MPa})

0.4762 = ((\frac{100}{16.6}) + 1000) \cdot (\frac{100}{210000})

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Area of Non-Prestressed Reinforcement given Stress in Concrete Solution

Follow our step by step solution on how to calculate Area of Non-Prestressed Reinforcement given Stress in Concrete?

FIRST Step Consider the formula

A s = ((\frac{P o}{f concrete}) + A T) \cdot (\frac{E concrete}{E s})

Next Step Substitute values of Variables

∴

A s = ((\frac{100kN}{16.6MPa}) + 1000mm²) \cdot (\frac{100MPa}{210000MPa})

Next Step Convert Units

∴

A s = ((\frac{100000N}{1.7E+7Pa}) + 1000mm²) \cdot (\frac{1E+8Pa}{2.1E+11Pa})

Next Step Prepare to Evaluate

∴

A s = ((\frac{100000}{1.7E+7}) + 1000) \cdot (\frac{1E+8}{2.1E+11})

Next Step Evaluate

∴

A s = 4.76193344807803E-07m²

Next Step Convert to Output's Unit

∴

A s = 0.476193344807803mm²

LAST Step Rounding Answer

∴

A s = 0.4762mm²

Area of Non-Prestressed Reinforcement given Stress in Concrete 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

Prestress at Transfer

Prestress at Transfer is the prestress force on the section at the transfer stage but after the short-term loss.

Symbol: P_o

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

Formulas to find Prestress at Transfer

Stress in Concrete Section

Stress in Concrete Section is the force per unit area of the concrete section considered.

Symbol: f_concrete

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Concrete Section

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 Concrete

Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.

Symbol: E_concrete

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity 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

Other formulas in At Transfer category

Go Stress in Concrete in Member without Non-Prestressed Reinforcement

f concrete = (\frac{P o}{A T})

Go Area of Concrete for Known Stress in Concrete without Non-Prestressed Reinforcement

A T = (\frac{P o}{f concrete})

How to Evaluate Area of Non-Prestressed Reinforcement given Stress in Concrete?

Area of Non-Prestressed Reinforcement given Stress in Concrete evaluator uses Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel) to evaluate the Area of Reinforcement, The Area of Non-Prestressed Reinforcement given Stress in Concrete is defined as the area of conventional steel amount to be used in partially prestressed concrete members. Area of Reinforcement is denoted by A_s symbol.

How to evaluate Area of Non-Prestressed Reinforcement given Stress in Concrete using this online evaluator? To use this online evaluator for Area of Non-Prestressed Reinforcement given Stress in Concrete, enter Prestress at Transfer (P_o), Stress in Concrete Section (f_concrete), Transformed Area of Concrete (A_T), Modulus of Elasticity Concrete (E_concrete) & Modulus of Elasticity of Steel (E_s) and hit the calculate button.

FAQs on Area of Non-Prestressed Reinforcement given Stress in Concrete

What is the formula to find Area of Non-Prestressed Reinforcement given Stress in Concrete?

The formula of Area of Non-Prestressed Reinforcement given Stress in Concrete is expressed as Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel). Here is an example- 3.3E+6 = ((100000/16600000)+0.001)*(100000000/210000000000).

How to calculate Area of Non-Prestressed Reinforcement given Stress in Concrete?

With Prestress at Transfer (P_o), Stress in Concrete Section (f_concrete), Transformed Area of Concrete (A_T), Modulus of Elasticity Concrete (E_concrete) & Modulus of Elasticity of Steel (E_s) we can find Area of Non-Prestressed Reinforcement given Stress in Concrete using the formula - Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel).

Can the Area of Non-Prestressed Reinforcement given Stress in Concrete be negative?

No, the Area of Non-Prestressed Reinforcement given Stress in Concrete, measured in Area cannot be negative.

Which unit is used to measure Area of Non-Prestressed Reinforcement given Stress in Concrete?

Area of Non-Prestressed Reinforcement given Stress in Concrete 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 given Stress in Concrete can be measured.

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Area of Non-Prestressed Reinforcement given Stress in Concrete Formula

Area of Non-Prestressed Reinforcement given Stress in Concrete Example

Area of Non-Prestressed Reinforcement given Stress in Concrete Solution

Area of Non-Prestressed Reinforcement given Stress in Concrete Formula Elements

Other formulas in At Transfer category

How to Evaluate Area of Non-Prestressed Reinforcement given Stress in Concrete?

FAQs on Area of Non-Prestressed Reinforcement given Stress in Concrete

Variable Name