Ultimate Shrinkage Strain given Loss in Prestress Calculator

✖Loss in Prestress is the loss found in the prestress due to shrinkage or creep or anchorage slip etc.ⓘ Loss in Prestress [Δf_loss]			+10% -10%
✖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.ⓘ Ultimate Shrinkage Strain given Loss in Prestress [ε_sh]

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Ultimate Shrinkage Strain given Loss in Prestress

Formula

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

Example

`"0.1"="20GPa"/"200000MPa"`

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Ultimate Shrinkage Strain given Loss in Prestress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Shrinkage Strain - Shrinkage Strain is the value for strain caused due to shrinkage in concrete.
Loss in Prestress - (Measured in Pascal) - 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 Pascal) - Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

STEP 1: Convert Input(s) to Base Unit

Loss in Prestress: 20 Gigapascal --> 20000000000 Pascal (Check conversion here)
Modulus of Elasticity of Steel Reinforcement: 200000 Megapascal --> 200000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ε_sh = Δf_loss/E_s --> 20000000000/200000000000

Evaluating ... ...

ε_sh = 0.1

STEP 3: Convert Result to Output's Unit

0.1 --> No Conversion Required

FINAL ANSWER

0.1 <-- Shrinkage Strain

(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 » Ultimate Shrinkage Strain given Loss in Prestress

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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))

Ultimate Shrinkage Strain given Loss in Prestress Formula

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

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 Ultimate Shrinkage Strain given Loss in Prestress?

Ultimate Shrinkage Strain given Loss in Prestress calculator uses Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement to calculate the Shrinkage Strain, The Ultimate Shrinkage Strain given Loss in Prestress is defined as the value of strain caused due to shrinkage in concrete. It depends on interval of time and moisture conditions, but is independent of stresses in member due to loads. Shrinkage Strain is denoted by ε_sh symbol.

How to calculate Ultimate Shrinkage Strain given Loss in Prestress using this online calculator? To use this online calculator for Ultimate Shrinkage Strain given Loss in Prestress, enter Loss in Prestress (Δf_loss) & Modulus of Elasticity of Steel Reinforcement (E_s) and hit the calculate button. Here is how the Ultimate Shrinkage Strain given Loss in Prestress calculation can be explained with given input values -> 0.1 = 20000000000/200000000000.

FAQ

What is Ultimate Shrinkage Strain given Loss in Prestress?

The Ultimate Shrinkage Strain given Loss in Prestress is defined as the value of strain caused due to shrinkage in concrete. It depends on interval of time and moisture conditions, but is independent of stresses in member due to loads and is represented as ε_sh = Δf_loss/E_s or Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement. 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 is a measure of its stiffness.

How to calculate Ultimate Shrinkage Strain given Loss in Prestress?

The Ultimate Shrinkage Strain given Loss in Prestress is defined as the value of strain caused due to shrinkage in concrete. It depends on interval of time and moisture conditions, but is independent of stresses in member due to loads is calculated using Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement. To calculate Ultimate Shrinkage Strain given Loss in Prestress, you need Loss in Prestress (Δf_loss) & Modulus of Elasticity of Steel Reinforcement (E_s). With our tool, you need to enter the respective value for Loss in Prestress & Modulus of Elasticity of Steel Reinforcement 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 Shrinkage Strain?

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

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

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