Initial Strain in Steel for Known Strain due to Elastic Shortening Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Strain = Concrete Strain+Residual Strain
εpi = εc+εpo
This formula uses 3 Variables
Variables Used
Initial Strain - Initial Strain is the initial or immediate amount of strain in steel.
Concrete Strain - Concrete Strain is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading.
Residual Strain - Residual Strain is the deformation from the no-load state to the zero-stress state (the residual stress released), have important physiological implications.
STEP 1: Convert Input(s) to Base Unit
Concrete Strain: 0.045 --> No Conversion Required
Residual Strain: 0.005 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εpi = εcpo --> 0.045+0.005
Evaluating ... ...
εpi = 0.05
STEP 3: Convert Result to Output's Unit
0.05 --> No Conversion Required
FINAL ANSWER
0.05 <-- Initial Strain
(Calculation completed in 00.004 seconds)

Credits

Created by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Coorg Institute of Technology (CIT), Coorg
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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 Strain in Steel for Known Strain due to Elastic Shortening Formula

Initial Strain = Concrete Strain+Residual Strain
εpi = εc+εpo

What is Pre-Tensioning?

This process involves the stressing of wires or cables by anchoring them at the end of a metal form, which may be up to 120 m in length. Hydraulic jacks stress the wire as required, often adding 10% to accommodate creep and other pre-stress losses that may be incurred.

How to Calculate Initial Strain in Steel for Known Strain due to Elastic Shortening?

Initial Strain in Steel for Known Strain due to Elastic Shortening calculator uses Initial Strain = Concrete Strain+Residual Strain to calculate the Initial Strain, The Initial Strain in Steel for Known Strain due to Elastic Shortening is defined as the initial or immediate strain occurred in the steel or tendons due to initial prestressing force. Initial Strain is denoted by εpi symbol.

How to calculate Initial Strain in Steel for Known Strain due to Elastic Shortening using this online calculator? To use this online calculator for Initial Strain in Steel for Known Strain due to Elastic Shortening, enter Concrete Strain c) & Residual Strain po) and hit the calculate button. Here is how the Initial Strain in Steel for Known Strain due to Elastic Shortening calculation can be explained with given input values -> 0.505 = 0.045+0.005.

FAQ

What is Initial Strain in Steel for Known Strain due to Elastic Shortening?
The Initial Strain in Steel for Known Strain due to Elastic Shortening is defined as the initial or immediate strain occurred in the steel or tendons due to initial prestressing force and is represented as εpi = εcpo or Initial Strain = Concrete Strain+Residual Strain. Concrete Strain is the reduction in volume of concrete after the application of loading then change in volume with respect to volume of concrete before applied loading & Residual Strain is the deformation from the no-load state to the zero-stress state (the residual stress released), have important physiological implications.
How to calculate Initial Strain in Steel for Known Strain due to Elastic Shortening?
The Initial Strain in Steel for Known Strain due to Elastic Shortening is defined as the initial or immediate strain occurred in the steel or tendons due to initial prestressing force is calculated using Initial Strain = Concrete Strain+Residual Strain. To calculate Initial Strain in Steel for Known Strain due to Elastic Shortening, you need Concrete Strain c) & Residual Strain po). With our tool, you need to enter the respective value for Concrete Strain & Residual Strain 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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