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

✖Effective Prestress is the prestress remaining in the concrete after the loss of prestress.ⓘ Effective Prestress [P_e]			+10% -10%
✖Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.ⓘ Transformed Area of Concrete [A_T]			+10% -10%
✖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.ⓘ Modulus of Elasticity of Steel [E_s]			+10% -10%
✖Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.ⓘ Modulus of Elasticity Concrete [E_concrete]			+10% -10%
✖Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.ⓘ Area of Reinforcement [A_s]			+10% -10%
✖Axial Force is the compression or tension force acting in a member.ⓘ Axial Force [P]			+10% -10%
✖The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.ⓘ Transformed Area of Prestressed Member [A_t]			+10% -10%

✖Stress in Concrete Section is the force per unit area of the concrete section considered.ⓘ Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load [f_concrete]

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Formula

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

Formula

`"f"_{"concrete"} = ("P"_{"e"}/("A"_{"T"}+("E"_{"s"}/"E"_{"concrete"})*"A"_{"s"}))+("P"/"A"_{"t"})`

Example

`"2.222172MPa"=("20kN"/("1000mm²"+("210000MPa"/"100MPa")*"500mm²"))+("10N"/"4500.14mm²")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
f_concrete = (P_e/(A_T+(E_s/E_concrete)*A_s))+(P/A_t)
This formula uses 8 Variables

Variables Used

Stress in Concrete Section - (Measured in Megapascal) - Stress in Concrete Section is the force per unit area of the concrete section considered.
Effective Prestress - (Measured in Kilonewton) - Effective Prestress is the prestress remaining in the concrete after the loss of prestress.
Transformed Area of Concrete - (Measured in Square Meter) - Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.
Modulus of Elasticity of Steel - (Measured in Pascal) - 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.
Modulus of Elasticity Concrete - (Measured in Megapascal) - Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.
Area of Reinforcement - (Measured in Square Meter) - Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.
Axial Force - (Measured in Kilonewton) - Axial Force is the compression or tension force acting in a member.
Transformed Area of Prestressed Member - (Measured in Square Meter) - The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.

STEP 1: Convert Input(s) to Base Unit

Effective Prestress: 20 Kilonewton --> 20 Kilonewton No Conversion Required
Transformed Area of Concrete: 1000 Square Millimeter --> 0.001 Square Meter (Check conversion here)
Modulus of Elasticity of Steel: 210000 Megapascal --> 210000000000 Pascal (Check conversion here)
Modulus of Elasticity Concrete: 100 Megapascal --> 100 Megapascal No Conversion Required
Area of Reinforcement: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Axial Force: 10 Newton --> 0.01 Kilonewton (Check conversion here)
Transformed Area of Prestressed Member: 4500.14 Square Millimeter --> 0.00450014 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_concrete = (P_e/(A_T+(E_s/E_concrete)*A_s))+(P/A_t) --> (20/(0.001+(210000000000/100)*0.0005))+(0.01/0.00450014)

Evaluating ... ...

f_concrete = 2.22217213618961

STEP 3: Convert Result to Output's Unit

2222172.13618961 Pascal -->2.22217213618961 Megapascal (Check conversion here)

FINAL ANSWER

2.22217213618961 ≈ 2.222172 Megapascal <-- Stress in Concrete Section

(Calculation completed in 00.020 seconds)

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< 3 At Service Load Calculators

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

Go 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)

Strain in Concrete due to Effective Prestress

Go Concrete Strain = Strain in Tendon-Strain Difference

Strain in Tendons due to Effective Prestress

Go Strain in Tendon = Strain Difference+Concrete Strain

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

What is Partial Prestressing?

Partial prestressing is a approach in design and construction in which prestressed reinforcement or a combination of prestressed and non-prestressed reinforcement is used such that tension and cracking in concrete due to flexure are allowed under service dead and live loads.

What is Serviceability Stage in Prestressed Concrete?

The serviceability limit stage, when all along-term prestress losses from creep, shrinkage, and relaxation have occurred, giving a final effective prestressing force of P e. The superimposed dead and live loads produce bending moments of M D and M L, respectively.

How to Calculate 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 calculator 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 calculate 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 calculate Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load using this online calculator? To use this online calculator 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. Here is how the Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load calculation can be explained with given input values -> 2.1E-8 = (20000/(0.001+(210000000000/100000000)*0.0005))+(10/0.00450014).

FAQ

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

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 and is represented as f_concrete = (P_e/(A_T+(E_s/E_concrete)*A_s))+(P/A_t) or 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). Effective Prestress is the prestress remaining in the concrete after the loss of prestress, Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments, 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, Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain, Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied, Axial Force is the compression or tension force acting in a member & The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete.

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

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 is calculated using 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 calculate Stress in Concrete Member with Non-Prestressing Steel at Service Load Having Compressive Axial Load, you need 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). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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