Loss in Prestress given Shrinkage Strain Calculator

✖Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.ⓘ Modulus of Elasticity of Steel Reinforcement [E_s]			+10% -10%
✖Shrinkage Strain is the value for strain caused due to shrinkage in concrete.ⓘ Shrinkage Strain [ε_sh]			+10% -10%

✖Loss in Prestress is the loss found in the prestress due to shrinkage or creep or anchorage slip etc.ⓘ Loss in Prestress given Shrinkage Strain [Δf_loss]

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Formula

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Loss in Prestress given Shrinkage Strain

Formula

`"Δf"_{"loss"} = "E"_{"s"}*"ε"_{"sh"}`

Example

`"0.06GPa"="200000MPa"*"0.0003"`

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Loss in Prestress given Shrinkage Strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Shrinkage Strain
Δf_loss = E_s*ε_sh
This formula uses 3 Variables

Variables Used

Loss in Prestress - (Measured in Gigapascal) - Loss in Prestress is the loss found in the prestress due to shrinkage or creep or anchorage slip etc.
Modulus of Elasticity of Steel Reinforcement - (Measured in Gigapascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.
Shrinkage Strain - Shrinkage Strain is the value for strain caused due to shrinkage in concrete.

STEP 1: Convert Input(s) to Base Unit

Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200 Gigapascal (Check conversion here)
Shrinkage Strain: 0.0003 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Δf_loss = E_s*ε_sh --> 200*0.0003

Evaluating ... ...

Δf_loss = 0.06

STEP 3: Convert Result to Output's Unit

60000000 Pascal -->0.06 Gigapascal (Check conversion here)

FINAL ANSWER

0.06 Gigapascal <-- Loss in Prestress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Prestressed Concrete » Losses of Prestress » Loss due to Anchorage Slip, Friction Loss and General Geometric Properties » Losses due to Creep and Shrinkage » Loss in Prestress given Shrinkage Strain

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Created by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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< 7 Losses due to Creep and Shrinkage Calculators

Loss in Prestress given Creep Strain

Go Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Ultimate Creep Strain

Ultimate Shrinkage Strain given Loss in Prestress

Go Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement

Loss in Prestress given Shrinkage Strain

Go Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Shrinkage Strain

Creep Coefficient given Creep Strain

Go Creep Coefficient of Prestress = Ultimate Creep Strain/Elastic Strain

Elastic Strain given Creep Strain

Go Elastic Strain = Ultimate Creep Strain/Creep Coefficient of Prestress

Ultimate Creep Strain

Go Ultimate Creep Strain = Creep Coefficient of Prestress*Elastic Strain

Shrinkage Strain for Post tensioning

Go Shrinkage Strain = 0.002/(log10(Age of Concrete+2))

Loss in Prestress given Shrinkage Strain Formula

Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Shrinkage Strain
Δf_loss = E_s*ε_sh

What is Shrinkage in Concretes?

Shrinkage of concrete is defined as the contraction due to loss of moisture. We know that concrete shrinks in volume when it dries up. This volume reduction takes place in the form of reduction of all dimensions. The shrinkage of concrete in prestressed members results in a shortening of tensioned wires and hence contributes to the loss of stress. The shrinkage of concrete is influenced by the type of cement, aggregates and the method of curing used.

How to Calculate Loss in Prestress given Shrinkage Strain?

Loss in Prestress given Shrinkage Strain calculator uses Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Shrinkage Strain to calculate the Loss in Prestress, The Loss in Prestress given Shrinkage Strain is defined as prestress loss due to shrinkage effect in concrete. Loss in Prestress is denoted by Δf_loss symbol.

How to calculate Loss in Prestress given Shrinkage Strain using this online calculator? To use this online calculator for Loss in Prestress given Shrinkage Strain, enter Modulus of Elasticity of Steel Reinforcement (E_s) & Shrinkage Strain (ε_sh) and hit the calculate button. Here is how the Loss in Prestress given Shrinkage Strain calculation can be explained with given input values -> 6E-11 = 200000000000*0.0003.

FAQ

What is Loss in Prestress given Shrinkage Strain?

The Loss in Prestress given Shrinkage Strain is defined as prestress loss due to shrinkage effect in concrete and is represented as Δf_loss = E_s*ε_sh or Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Shrinkage Strain. Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness & Shrinkage Strain is the value for strain caused due to shrinkage in concrete.

How to calculate Loss in Prestress given Shrinkage Strain?

The Loss in Prestress given Shrinkage Strain is defined as prestress loss due to shrinkage effect in concrete is calculated using Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Shrinkage Strain. To calculate Loss in Prestress given Shrinkage Strain, you need Modulus of Elasticity of Steel Reinforcement (E_s) & Shrinkage Strain (ε_sh). With our tool, you need to enter the respective value for Modulus of Elasticity of Steel Reinforcement & Shrinkage Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Loss in Prestress?

In this formula, Loss in Prestress uses Modulus of Elasticity of Steel Reinforcement & Shrinkage Strain. We can use 1 other way(s) to calculate the same, which is/are as follows -

Loss in Prestress = Modulus of Elasticity of Steel Reinforcement*Ultimate Creep Strain

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