Area of Non-Prestressed Reinforcement in Partially Prestressed Members 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%
✖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 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%
✖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 Prestressing Steel is the total cross sectional area of tendons.ⓘ Area of Prestressing Steel [As]			+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 in Partially Prestressed Members [A_s]

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Formula

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Area of Non-Prestressed Reinforcement in Partially Prestressed Members

Formula

`"A"_{"s"} = ("A"_{"t"}-"A"_{"T"}-("E"_{"P"}/"E"_{"c"})*"As")*("E"_{"c"}/"E"_{"s"})`

Example

`"499.9998mm²"=("4500.14mm²"-"1000mm²"-("210MPa"/"30000MPa")*"20.2mm²")*("30000MPa"/"210000MPa")`

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Area of Non-Prestressed Reinforcement in Partially Prestressed Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
A_s = (A_t-A_T-(E_P/E_c)*As)*(E_c/E_s)
This formula uses 7 Variables

Variables Used

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

Transformed Area of Prestressed Member: 4500.14 Square Millimeter --> 0.00450014 Square Meter (Check conversion here)
Transformed Area of Concrete: 1000 Square Millimeter --> 0.001 Square Meter (Check conversion here)
Modulus of Elasticity of Prestressing Steel: 210 Megapascal --> 210000000 Pascal (Check conversion here)
Modulus of Elasticity of Concrete: 30000 Megapascal --> 30000000000 Pascal (Check conversion here)
Area of Prestressing Steel: 20.2 Square Millimeter --> 2.02E-05 Square Meter (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 = (A_t-A_T-(E_P/E_c)*As)*(E_c/E_s) --> (0.00450014-0.001-(210000000/30000000000)*2.02E-05)*(30000000000/210000000000)

Evaluating ... ...

A_s = 0.0004999998

STEP 3: Convert Result to Output's Unit

0.0004999998 Square Meter -->499.9998 Square Millimeter (Check conversion here)

FINAL ANSWER

499.9998 Square Millimeter <-- Area of Reinforcement

(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 » Area of Non-Prestressed Reinforcement in Partially Prestressed Members

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NSS College of Engineering (NSSCE), Palakkad

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< 4 Geometrics Properties Calculators

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

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

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

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

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 Non-Prestressed Reinforcement in Partially Prestressed Members 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.

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 Non-Prestressed Reinforcement in Partially Prestressed Members?

Area of Non-Prestressed Reinforcement in Partially Prestressed Members calculator uses 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) to calculate the Area of Reinforcement, The Area of Non-Prestressed Reinforcement in Partially Prestressed Members is defined as the area of conventional steel used in partially prestressed member which is not used as a prestressing tendon or wire. Area of Reinforcement is denoted by A_s symbol.

How to calculate Area of Non-Prestressed Reinforcement in Partially Prestressed Members using this online calculator? To use this online calculator for Area of Non-Prestressed Reinforcement in Partially Prestressed Members, enter Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T), Modulus of Elasticity of Prestressing Steel (E_P), Modulus of Elasticity of Concrete (E_c), Area of Prestressing Steel (As) & Modulus of Elasticity of Steel (E_s) and hit the calculate button. Here is how the Area of Non-Prestressed Reinforcement in Partially Prestressed Members calculation can be explained with given input values -> 5E+8 = (0.00450014-0.001-(210000000/30000000000)*2.02E-05)*(30000000000/210000000000).

FAQ

What is Area of Non-Prestressed Reinforcement in Partially Prestressed Members?

The Area of Non-Prestressed Reinforcement in Partially Prestressed Members is defined as the area of conventional steel used in partially prestressed member which is not used as a prestressing tendon or wire and is represented as A_s = (A_t-A_T-(E_P/E_c)*As)*(E_c/E_s) or 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). 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 is the modified or altered surface of a concrete structure resulting from changes or treatments, 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, 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 Prestressing Steel is the total cross sectional area of tendons & 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 in Partially Prestressed Members?

The Area of Non-Prestressed Reinforcement in Partially Prestressed Members is defined as the area of conventional steel used in partially prestressed member which is not used as a prestressing tendon or wire is calculated using 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). To calculate Area of Non-Prestressed Reinforcement in Partially Prestressed Members, you need Transformed Area of Prestressed Member (A_t), Transformed Area of Concrete (A_T), Modulus of Elasticity of Prestressing Steel (E_P), Modulus of Elasticity of Concrete (E_c), Area of Prestressing Steel (As) & Modulus of Elasticity of Steel (E_s). With our tool, you need to enter the respective value for 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 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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