Transformed Area of Partially Prestressed Members Calculator

✖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%
✖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%

✖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 Partially Prestressed Members [A_t]

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Transformed Area of Partially Prestressed Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
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 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.
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 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 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 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 --> 0.001+(210000000000/30000000000)*0.0005+(210000000/30000000000)*2.02E-05

Evaluating ... ...

A_t = 0.0045001414

STEP 3: Convert Result to Output's Unit

0.0045001414 Square Meter -->4500.1414 Square Millimeter (Check conversion here)

FINAL ANSWER

4500.1414 ≈ 4500.141 Square Millimeter <-- Transformed Area of Prestressed Member

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Analysis of Prestressing and Bending Stresses » Geometrics Properties » Transformed Area of Partially Prestressed Members

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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

Transformed Area of Partially Prestressed Members 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 a lighter modulus of elasticity and smaller ultimate creep strain resulting in a smaller loss of prestress in steel.

How to Calculate Transformed Area of Partially Prestressed Members?

Transformed Area of Partially Prestressed Members calculator uses 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 to calculate the Transformed Area of Prestressed Member, The Transformed Area of Partially Prestressed Members is defined as the area of transformed section when the member is made by prestressing tendons, non-prestressed steel and concrete. Transformed Area of Prestressed Member is denoted by A_t symbol.

How to calculate Transformed Area of Partially Prestressed Members using this online calculator? To use this online calculator for Transformed Area of Partially Prestressed Members, enter Transformed Area of Concrete (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 Transformed Area of Partially Prestressed Members calculation can be explained with given input values -> 4.5E+9 = 0.001+(210000000000/30000000000)*0.0005+(210000000/30000000000)*2.02E-05.

FAQ

What is Transformed Area of Partially Prestressed Members?

The Transformed Area of Partially Prestressed Members is defined as the area of transformed section when the member is made by prestressing tendons, non-prestressed steel and concrete and is represented as A_t = A_T+(E_s/E_c)*A_s+(E_P/E_c)*As or 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. 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, 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 Transformed Area of Partially Prestressed Members?

The Transformed Area of Partially Prestressed Members is defined as the area of transformed section when the member is made by prestressing tendons, non-prestressed steel and concrete is calculated using 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. To calculate Transformed Area of Partially Prestressed Members, you need Transformed Area of Concrete (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 Concrete, 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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