Area of Concrete about Non-Prestressed Reinforcements and Transformed Section Calculator

✖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%
✖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%
✖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.ⓘ Modulus of Elasticity of Concrete [E_c]			+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%
✖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.ⓘ Modulus of Elasticity of Prestressing Steel [E_P]			+10% -10%
✖Area of Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel [As]			+10% -10%

✖Transformed Area of Concrete is the modified or altered surface of a concrete structure resulting from changes or treatments.ⓘ Area of Concrete about Non-Prestressed Reinforcements and Transformed Section [A_T]

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Area of Concrete about Non-Prestressed Reinforcements and Transformed Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel
A_T = A_t-(E_s/E_c)*A_s-(E_P/E_c)*As
This formula uses 7 Variables

Variables Used

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.
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.
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 of Concrete - (Measured in Pascal) - 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.
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.
Modulus of Elasticity of Prestressing Steel - (Measured in Pascal) - 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.
Area of Prestressing Steel - (Measured in Square Meter) - Area of Prestressing Steel is the total cross sectional area of tendons.

STEP 1: Convert Input(s) to Base Unit

Transformed Area of Prestressed Member: 4500.14 Square Millimeter --> 0.00450014 Square Meter (Check conversion here)
Modulus of Elasticity of Steel: 210000 Megapascal --> 210000000000 Pascal (Check conversion here)
Modulus of Elasticity of Concrete: 30000 Megapascal --> 30000000000 Pascal (Check conversion here)
Area of Reinforcement: 500 Square Millimeter --> 0.0005 Square Meter (Check conversion here)
Modulus of Elasticity of Prestressing Steel: 210 Megapascal --> 210000000 Pascal (Check conversion here)
Area of Prestressing Steel: 20.2 Square Millimeter --> 2.02E-05 Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_T = A_t-(E_s/E_c)*A_s-(E_P/E_c)*As --> 0.00450014-(210000000000/30000000000)*0.0005-(210000000/30000000000)*2.02E-05

Evaluating ... ...

A_T = 0.0009999986

STEP 3: Convert Result to Output's Unit

0.0009999986 Square Meter -->999.9986 Square Millimeter (Check conversion here)

FINAL ANSWER

999.9986 Square Millimeter <-- Transformed Area of Concrete

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Analysis of Prestressing and Bending Stresses » Geometrics Properties » Area of Concrete about Non-Prestressed Reinforcements and Transformed Section

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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National Institute of Technology (NIT), Warangal

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< Geometrics Properties Calculators

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

LaTeX Go 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)

Area of Non-Prestressed Reinforcement in Partially Prestressed Members

LaTeX Go Area of Reinforcement = (Transformed Area of Prestressed Member-Transformed Area of Concrete-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel)*(Modulus of Elasticity of Concrete/Modulus of Elasticity of Steel)

Area of Concrete about Non-Prestressed Reinforcements and Transformed Section

LaTeX Go Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel

Transformed Area of Partially Prestressed Members

LaTeX Go 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 Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel

Area of Concrete about Non-Prestressed Reinforcements and Transformed Section Formula

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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.

Which type of Steel is used in Prestressing?

Prestressed concrete uses high tensile strength steel that is manufactured by increasing the carbon content in steel compared to ordinary mild steel used in R.C.C. In prestressed concrete, the steel used is tensioned or prestressed. High strength concrete is less liable to shrinkage cracks and has lighter modulus of elasticity and smaller ultimate creep strain resulting in a smaller loss of prestress in steel.

How to Calculate Area of Concrete about Non-Prestressed Reinforcements and Transformed Section?

Area of Concrete about Non-Prestressed Reinforcements and Transformed Section calculator uses Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel to calculate the Transformed Area of Concrete, The Area of Concrete about Non-Prestressed Reinforcements and Transformed Section is defined as the area of concrete in the partially prestressed member where both conventional and prestressing steels are used. Transformed Area of Concrete is denoted by A_T symbol.

How to calculate Area of Concrete about Non-Prestressed Reinforcements and Transformed Section using this online calculator? To use this online calculator for Area of Concrete about Non-Prestressed Reinforcements and Transformed Section, enter Transformed Area of Prestressed Member (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) & Area of Prestressing Steel (As) and hit the calculate button. Here is how the Area of Concrete about Non-Prestressed Reinforcements and Transformed Section calculation can be explained with given input values -> 1E+9 = 0.00450014-(210000000000/30000000000)*0.0005-(210000000/30000000000)*2.02E-05.

FAQ

What is Area of Concrete about Non-Prestressed Reinforcements and Transformed Section?

The Area of Concrete about Non-Prestressed Reinforcements and Transformed Section is defined as the area of concrete in the partially prestressed member where both conventional and prestressing steels are used and is represented as A_T = A_t-(E_s/E_c)*A_s-(E_P/E_c)*As or Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel. The Transformed Area of Prestressed Member is the area of the member when steel is substituted by an equivalent area of concrete, 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, 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, Area of Reinforcement is the area of steel, used in a prestressed section, which is not prestressed or prestressing force is not applied, 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 & Area of Prestressing Steel is the total cross sectional area of tendons.

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

The Area of Concrete about Non-Prestressed Reinforcements and Transformed Section is defined as the area of concrete in the partially prestressed member where both conventional and prestressing steels are used is calculated using Transformed Area of Concrete = Transformed Area of Prestressed Member-(Modulus of Elasticity of Steel/Modulus of Elasticity of Concrete)*Area of Reinforcement-(Modulus of Elasticity of Prestressing Steel/Modulus of Elasticity of Concrete)*Area of Prestressing Steel. To calculate Area of Concrete about Non-Prestressed Reinforcements and Transformed Section, you need Transformed Area of Prestressed Member (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) & Area of Prestressing Steel (As). With our tool, you need to enter the respective value for Transformed Area of Prestressed Member, Modulus of Elasticity of Steel, Modulus of Elasticity of Concrete, Area of Reinforcement, Modulus of Elasticity of Prestressing Steel & Area of Prestressing 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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