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Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load Formula

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

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

f_concrete - Stress in Concrete Section?P_e - Effective Prestress?A_T - Transformed Area of Concrete?E_s - Modulus of Elasticity of Steel?E_concrete - Modulus of Elasticity Concrete?A_s - Area of Reinforcement?P - Axial Force?A_t - Transformed Area of Prestressed Member?

Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load Example

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Here is how the Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load equation looks like with Values.

Here is how the Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load equation looks like with Units.

Here is how the Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load equation looks like.

2.2222 = (\frac{20}{1000 + (\frac{210000}{100}) \cdot 500}) + (\frac{10}{4500.14})

2.2222MPa = (\frac{20kN}{1000mm² + (\frac{210000MPa}{100MPa}) \cdot 500mm²}) + (\frac{10N}{4500.14mm²})

2.2222 = (\frac{20}{1000 + (\frac{210000}{100}) \cdot 500}) + (\frac{10}{4500.14})

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Home » Engineering » Civil » Structural Engineering » Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load

Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load Solution

Follow our step by step solution on how to calculate Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

f concrete = (\frac{20kN}{1000mm² + (\frac{210000MPa}{100MPa}) \cdot 500mm²}) + (\frac{10N}{4500.14mm²})

Next Step Convert Units

∴

f concrete = (\frac{20kN}{0.001m² + (\frac{2.1E+11Pa}{100MPa}) \cdot 0.0005m²}) + (\frac{0.01kN}{0.0045m²})

Next Step Prepare to Evaluate

∴

f concrete = (\frac{20}{0.001 + (\frac{2.1E+11}{100}) \cdot 0.0005}) + (\frac{0.01}{0.0045})

Next Step Evaluate

∴

f concrete = 2222172.13618961Pa

Next Step Convert to Output's Unit

∴

f concrete = 2.22217213618961MPa

LAST Step Rounding Answer

∴

f concrete = 2.2222MPa

Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load Formula Elements

Variables

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.

Effective Prestress

Effective Prestress is the prestress remaining in the concrete after the loss of prestress.

Symbol: P_e

Measurement: ForceUnit: kN

Note: Value should be greater than 0.

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.

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.

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.

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.

Axial Force

Axial Force is the compression or tension force acting in a member.

Symbol: P

Measurement: ForceUnit: N

Note: Value should be greater than 0.

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.

Credits

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Formula and 500+ more formulas!

Verifier Image

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has verified this Formula and 700+ more formulas!

Other formulas in At Service Load category

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ε pe = Δε p + ε ce

Go Strain in Concrete due to Effective Prestress

ε ce = ε pe - Δε p

How to Evaluate Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load?

Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load evaluator uses Stress in Concrete Section = (Effective Prestress/(Transformed Area of Concrete+(Modulus of Elasticity of Steel/Modulus of Elasticity Concrete)*Area of Reinforcement))+(Axial Force/Transformed Area of Prestressed Member) to evaluate the Stress in Concrete Section, The Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load is defined as the stress in concrete member which is partially prestressed. Stress in Concrete Section is denoted by f_concrete symbol.

How to evaluate Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load using this online evaluator? To use this online evaluator for Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load, enter Effective Prestress (P_e), Transformed Area of Concrete (A_T), Modulus of Elasticity of Steel (E_s), Modulus of Elasticity Concrete (E_concrete), Area of Reinforcement (A_s), Axial Force (P) & Transformed Area of Prestressed Member (A_t) and hit the calculate button.

FAQs on Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load

What is the formula to find Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load?

The formula of Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load is expressed as Stress in Concrete Section = (Effective Prestress/(Transformed Area of Concrete+(Modulus of Elasticity of Steel/Modulus of Elasticity Concrete)*Area of Reinforcement))+(Axial Force/Transformed Area of Prestressed Member). Here is an example- 2.1E-8 = (20000/(0.001+(210000000000/100000000)*0.0005))+(10/0.00450014).

How to calculate Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load?

With Effective Prestress (P_e), Transformed Area of Concrete (A_T), Modulus of Elasticity of Steel (E_s), Modulus of Elasticity Concrete (E_concrete), Area of Reinforcement (A_s), Axial Force (P) & Transformed Area of Prestressed Member (A_t) we can find Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load using the formula - Stress in Concrete Section = (Effective Prestress/(Transformed Area of Concrete+(Modulus of Elasticity of Steel/Modulus of Elasticity Concrete)*Area of Reinforcement))+(Axial Force/Transformed Area of Prestressed Member).

Can the Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load be negative?

No, the Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load, measured in Pressure cannot be negative.

Which unit is used to measure Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load?

Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load can be measured.

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