Area of Prestressing Tendons 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%
✖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 Tendons about Non-Prestressed Reinforcements and Transformed Section [As]

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Formula

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

Formula

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

Example

`"20mm²"=("4500.14mm²"-"1000mm²"-("210000MPa"/"30000MPa")*"500mm²")*("30000MPa"/"210MPa")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

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 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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

As = (A_t-A_T-(E_s/E_c)*A_s)*(E_c/E_P) --> (0.00450014-0.001-(210000000000/30000000000)*0.0005)*(30000000000/210000000)

Evaluating ... ...

As = 1.99999999999432E-05

STEP 3: Convert Result to Output's Unit

1.99999999999432E-05 Square Meter -->19.9999999999432 Square Millimeter (Check conversion here)

FINAL ANSWER

19.9999999999432 ≈ 20 Square Millimeter <-- Area of Prestressing Steel

(Calculation completed in 00.004 seconds)

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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 Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section Formula

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.

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.

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

Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section calculator uses 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) to calculate the Area of Prestressing Steel, The Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section is defined as the area of prestressing tendons used in partially prestressed members. Area of Prestressing Steel is denoted by As symbol.

How to calculate Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section using this online calculator? To use this online calculator for Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section, enter Transformed Area of Prestressed Member (A_t), 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) and hit the calculate button. Here is how the Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section calculation can be explained with given input values -> 2E+7 = (0.00450014-0.001-(210000000000/30000000000)*0.0005)*(30000000000/210000000).

FAQ

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

The Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section is defined as the area of prestressing tendons used in partially prestressed members and is represented as As = (A_t-A_T-(E_s/E_c)*A_s)*(E_c/E_P) or 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). 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 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.

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

The Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section is defined as the area of prestressing tendons used in partially prestressed members is calculated using 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). To calculate Area of Prestressing Tendons about Non-Prestressed Reinforcements and Transformed Section, you need Transformed Area of Prestressed Member (A_t), 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). With our tool, you need to enter the respective value for 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 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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