Initial Prestress given Prestress after Immediate Loss Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete
Pi = Po*APretension/APre tension
This formula uses 4 Variables
Variables Used
Initial Prestress Force - (Measured in Kilonewton) - Initial Prestress Force is the force which is applied to the tendons by the jack.
Prestressing Force after Loss - (Measured in Kilonewton) - Prestressing Force after Loss is the prestressing force after immediate losses. It is the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction.
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.
Pre-Tensioned Area of Concrete - (Measured in Square Millimeter) - Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength.
STEP 1: Convert Input(s) to Base Unit
Prestressing Force after Loss: 96000 Kilonewton --> 96000 Kilonewton No Conversion Required
Transformed Section Area of Prestress: 0.025 Square Millimeter --> 0.025 Square Millimeter No Conversion Required
Pre-Tensioned Area of Concrete: 12 Square Millimeter --> 12 Square Millimeter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pi = Po*APretension/APre tension --> 96000*0.025/12
Evaluating ... ...
Pi = 200
STEP 3: Convert Result to Output's Unit
200000 Newton -->200 Kilonewton (Check conversion here)
FINAL ANSWER
200 Kilonewton <-- Initial Prestress Force
(Calculation completed in 00.004 seconds)

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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

Initial Prestress given Prestress after Immediate Loss Formula

Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete
Pi = Po*APretension/APre tension

What are the stages of Loading in Prestressing Process?

Stages of Loading The analysis of prestressed members can be different for the different stages of loading. The stages of loading are as follows.
1) Initial : It can be subdivided into two stages. a) During tensioning of steel b) At transfer of prestress to concrete.
2) Intermediate : This includes the loads during transportation of the prestressed members. 3) Final : It can be subdivided into two stages. a) At service, during operation. b) At ultimate, during extreme events.

How to Calculate Initial Prestress given Prestress after Immediate Loss?

Initial Prestress given Prestress after Immediate Loss calculator uses Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete to calculate the Initial Prestress Force, The Initial Prestress given Prestress after Immediate Loss is defined as the initial prestressing force given at first stage of loading which is applied to tendons. Initial Prestress Force is denoted by Pi symbol.

How to calculate Initial Prestress given Prestress after Immediate Loss using this online calculator? To use this online calculator for Initial Prestress given Prestress after Immediate Loss, enter Prestressing Force after Loss (Po), Transformed Section Area of Prestress (APretension) & Pre-Tensioned Area of Concrete (APre tension) and hit the calculate button. Here is how the Initial Prestress given Prestress after Immediate Loss calculation can be explained with given input values -> 0.2 = 96000000*2.5E-08/1.2E-05.

FAQ

What is Initial Prestress given Prestress after Immediate Loss?
The Initial Prestress given Prestress after Immediate Loss is defined as the initial prestressing force given at first stage of loading which is applied to tendons and is represented as Pi = Po*APretension/APre tension or Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete. Prestressing Force after Loss is the prestressing force after immediate losses. It is the reduced value of prestressing force after elastic shortening, anchorage slip and loss due to friction, Transformed Section Area of Prestress is the area of the member when steel is substituted by an equivalent area of concrete & Pre-Tensioned Area of Concrete is a construction method where steel tendons are stressed before pouring concrete, enhancing structural strength.
How to calculate Initial Prestress given Prestress after Immediate Loss?
The Initial Prestress given Prestress after Immediate Loss is defined as the initial prestressing force given at first stage of loading which is applied to tendons is calculated using Initial Prestress Force = Prestressing Force after Loss*Transformed Section Area of Prestress/Pre-Tensioned Area of Concrete. To calculate Initial Prestress given Prestress after Immediate Loss, you need Prestressing Force after Loss (Po), Transformed Section Area of Prestress (APretension) & Pre-Tensioned Area of Concrete (APre tension). With our tool, you need to enter the respective value for Prestressing Force after Loss, Transformed Section Area of Prestress & Pre-Tensioned Area of Concrete 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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