Transformed Area of Prestress Member for Known Pressure Drop Calculator

✖Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.ⓘ Modular Ratio for Elastic Shortening [m_Elastic]			+10% -10%
✖Initial Prestress Force is the force which is applied to the tendons by the jack.ⓘ Initial Prestress Force [P_i]			+10% -10%
✖Drop in Prestress is the drop in applied prestress force due to strain in tendons.ⓘ Drop in Prestress [Δf_Drop]			+10% -10%

✖Transformed Section Area of Prestress is the area of the member when steel is substituted by an equivalent area of concrete.ⓘ Transformed Area of Prestress Member for Known Pressure Drop [A_Pretension]

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Formula

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Transformed Area of Prestress Member for Known Pressure Drop

Formula

`"A"_{"Pretension"} = "m"_{"Elastic"}*"P"_{"i"}/"Δf"_{"Drop"}`

Example

`"0.01305mm²"="0.6"*"435kN"/"0.02MPa"`

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Transformed Area of Prestress Member for Known Pressure Drop Solution

STEP 0: Pre-Calculation Summary

Formula Used

Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress
A_Pretension = m_Elastic*P_i/Δf_Drop
This formula uses 4 Variables

Variables Used

Transformed Section Area of Prestress - (Measured in Square Millimeter) - Transformed Section Area of Prestress is the area of the member when steel is substituted by an equivalent area of concrete.
Modular Ratio for Elastic Shortening - Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material.
Initial Prestress Force - (Measured in Kilonewton) - Initial Prestress Force is the force which is applied to the tendons by the jack.
Drop in Prestress - (Measured in Pascal) - Drop in Prestress is the drop in applied prestress force due to strain in tendons.

STEP 1: Convert Input(s) to Base Unit

Modular Ratio for Elastic Shortening: 0.6 --> No Conversion Required
Initial Prestress Force: 435 Kilonewton --> 435 Kilonewton No Conversion Required
Drop in Prestress: 0.02 Megapascal --> 20000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Pretension = m_Elastic*P_i/Δf_Drop --> 0.6*435/20000

Evaluating ... ...

A_Pretension = 0.01305

STEP 3: Convert Result to Output's Unit

1.305E-08 Square Meter -->0.01305 Square Millimeter (Check conversion here)

FINAL ANSWER

0.01305 Square Millimeter <-- Transformed Section Area of Prestress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Elastic Shortening » Pre-Tensioned Members » Transformed Area of Prestress Member for Known Pressure Drop

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 9 Pre-Tensioned Members Calculators

Prestressing Force after Immediate Loss given Initial Prestress

Go Prestressing Force after Loss = Initial Prestress Force*Pre-Tensioned Area of Concrete/Transformed Section Area of Prestress

Initial Prestress given Prestress after Immediate Loss

Go Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete

Prestress Drop given Pressure after Immediate Loss

Go Drop in Prestress = (Prestressing Force after Loss/Pre-Tensioned Area of Concrete)*Modular Ratio for Elastic Shortening

Transformed Area of Prestress Member for Known Pressure Drop

Go Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress

Prestress Drop given Initial Prestress Force

Go Drop in Prestress = Initial Prestress Force*Modular Ratio for Elastic Shortening/Transformed Section Area of Prestress

Modular Ratio given Prestress after Immediate Loss

Go Modular Ratio for Elastic Shortening = Drop in Prestress*Pre-Tensioned Area of Concrete/Prestressing Force after Loss

Residual Strain in Steel for Known Strain due to Elastic Shortening

Go Residual Strain = Initial Strain-Concrete Strain

Initial Strain in Steel for Known Strain due to Elastic Shortening

Go Initial Strain = Concrete Strain+Residual Strain

Strain in Concrete due to Elastic Shortening

Go Concrete Strain = Initial Strain-Residual Strain

Transformed Area of Prestress Member for Known Pressure Drop Formula

Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress
A_Pretension = m_Elastic*P_i/Δf_Drop

What is the Basic Principle of Prestressed Concrete?

The principle behind prestressed concrete is that compressive stresses induced by high-strength steel tendons in a concrete member before loads are applied will balance the tensile stresses imposed in the member during service.

How to Calculate Transformed Area of Prestress Member for Known Pressure Drop?

Transformed Area of Prestress Member for Known Pressure Drop calculator uses Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress to calculate the Transformed Section Area of Prestress, The Transformed Area of Prestress Member for Known Pressure Drop is defined as the area of transformed section when the prestressing steel is converted into equivalent concrete. Transformed Section Area of Prestress is denoted by A_Pretension symbol.

How to calculate Transformed Area of Prestress Member for Known Pressure Drop using this online calculator? To use this online calculator for Transformed Area of Prestress Member for Known Pressure Drop, enter Modular Ratio for Elastic Shortening (m_Elastic), Initial Prestress Force (P_i) & Drop in Prestress (Δf_Drop) and hit the calculate button. Here is how the Transformed Area of Prestress Member for Known Pressure Drop calculation can be explained with given input values -> 6000 = 0.6*435000/20000.

FAQ

What is Transformed Area of Prestress Member for Known Pressure Drop?

The Transformed Area of Prestress Member for Known Pressure Drop is defined as the area of transformed section when the prestressing steel is converted into equivalent concrete and is represented as A_Pretension = m_Elastic*P_i/Δf_Drop or Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress. Modular Ratio for Elastic Shortening is the ratio of the elastic modulus of a particular material in a cross-section to the elastic modulus of the “base” or the reference material, Initial Prestress Force is the force which is applied to the tendons by the jack & Drop in Prestress is the drop in applied prestress force due to strain in tendons.

How to calculate Transformed Area of Prestress Member for Known Pressure Drop?

The Transformed Area of Prestress Member for Known Pressure Drop is defined as the area of transformed section when the prestressing steel is converted into equivalent concrete is calculated using Transformed Section Area of Prestress = Modular Ratio for Elastic Shortening*Initial Prestress Force/Drop in Prestress. To calculate Transformed Area of Prestress Member for Known Pressure Drop, you need Modular Ratio for Elastic Shortening (m_Elastic), Initial Prestress Force (P_i) & Drop in Prestress (Δf_Drop). With our tool, you need to enter the respective value for Modular Ratio for Elastic Shortening, Initial Prestress Force & Drop in Prestress 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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