Area of Non-Prestressed Reinforcement given Stress in Concrete Calculator

✖Prestress at Transfer is the prestress force on the section at the transfer stage but after the short-term loss.ⓘ Prestress at Transfer [P_o]			+10% -10%
✖Stress in Concrete Section is the force per unit area of the concrete section considered.ⓘ Stress in Concrete Section [f_concrete]			+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%
✖Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.ⓘ Modulus of Elasticity Concrete [E_concrete]			+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%

✖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 Non-Prestressed Reinforcement given Stress in Concrete [A_s]

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Area of Non-Prestressed Reinforcement given Stress in Concrete

Formula

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

Example

`"0.476193mm²"=(("100kN"/"16.6MPa")+"1000mm²")*("100MPa"/"210000MPa")`

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Area of Non-Prestressed Reinforcement given Stress in Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel)
A_s = ((P_o/f_concrete)+A_T)*(E_concrete/E_s)
This formula uses 6 Variables

Variables Used

Area of Reinforcement - (Measured in Square Millimeter) - Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied.
Prestress at Transfer - (Measured in Newton) - Prestress at Transfer is the prestress force on the section at the transfer stage but after the short-term loss.
Stress in Concrete Section - (Measured in Pascal) - Stress in Concrete Section is the force per unit area of the concrete section considered.
Transformed Area of Concrete - (Measured in Square Millimeter) - Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.
Modulus of Elasticity Concrete - (Measured in Pascal) - Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain.
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.

STEP 1: Convert Input(s) to Base Unit

Prestress at Transfer: 100 Kilonewton --> 100000 Newton (Check conversion here)
Stress in Concrete Section: 16.6 Megapascal --> 16600000 Pascal (Check conversion here)
Transformed Area of Concrete: 1000 Square Millimeter --> 1000 Square Millimeter No Conversion Required
Modulus of Elasticity Concrete: 100 Megapascal --> 100000000 Pascal (Check conversion here)
Modulus of Elasticity of Steel: 210000 Megapascal --> 210000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_s = ((P_o/f_concrete)+A_T)*(E_concrete/E_s) --> ((100000/16600000)+1000)*(100000000/210000000000)

Evaluating ... ...

A_s = 0.476193344807803

STEP 3: Convert Result to Output's Unit

4.76193344807803E-07 Square Meter -->0.476193344807803 Square Millimeter (Check conversion here)

FINAL ANSWER

0.476193344807803 ≈ 0.476193 Square Millimeter <-- Area of Reinforcement

(Calculation completed in 00.004 seconds)

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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Area of Non-Prestressed Reinforcement given Stress in Concrete

Go Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel)

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

Go Transformed Area of Concrete = (Prestress at Transfer/Stress in Concrete Section)

Stress in Concrete in Member without Non-Prestressed Reinforcement

Go Stress in Concrete Section = (Prestress at Transfer/Transformed Area of Concrete)

Area of Non-Prestressed Reinforcement given Stress in Concrete Formula

What is Partially Prestressed member?

Concrete elements that utilize a combination of conventional reinforcement and prestressed tendons are usually called partially prestressed concrete members and the concept is increasingly considered as an alternative solution to reinforced concrete or fully prestressed concrete. Here, tension and cracking in concrete due to flexure are allowed under service dead and live loads.

What are the steps for analyzing the Prestressed member?

1) Permissible prestress based on allowable stresses at transfer.
2) Stresses under service loads. These are compared with allowable stresses under service conditions.
3) Ultimate strength. This is compared with the demand under factored loads.
4) The entire axial load versus deformation behaviour.

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

Area of Non-Prestressed Reinforcement given Stress in Concrete calculator 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 calculate 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 calculate Area of Non-Prestressed Reinforcement given Stress in Concrete using this online calculator? To use this online calculator 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. Here is how the Area of Non-Prestressed Reinforcement given Stress in Concrete calculation can be explained with given input values -> 3.3E+6 = ((100000/16600000)+0.001)*(100000000/210000000000).

FAQ

What is Area of Non-Prestressed Reinforcement given Stress in Concrete?

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 and is represented as A_s = ((P_o/f_concrete)+A_T)*(E_concrete/E_s) or Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel). Prestress at Transfer is the prestress force on the section at the transfer stage but after the short-term loss, Stress in Concrete Section is the force per unit area of the concrete section considered, Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments, Modulus of Elasticity Concrete is the ratio of the applied stress to the corresponding strain & 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.

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

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 is calculated using Area of Reinforcement = ((Prestress at Transfer/Stress in Concrete Section)+Transformed Area of Concrete)*(Modulus of Elasticity Concrete/Modulus of Elasticity of Steel). To calculate Area of Non-Prestressed Reinforcement given Stress in Concrete, you need 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). With our tool, you need to enter the respective value for Prestress at Transfer, Stress in Concrete Section, Transformed Area of Concrete, Modulus of Elasticity Concrete & Modulus of Elasticity of Steel 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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