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Ultimate Shrinkage Strain given Loss in Prestress Formula

GoShrinkage Strain for Post tensioning Formula

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Shrinkage Strain is the value for strain caused due to shrinkage in concrete. Check FAQs

ε sh = \frac{Δf loss}{E s}

ε_sh - Shrinkage Strain?Δf_loss - Loss in Prestress?E_s - Modulus of Elasticity of Steel Reinforcement?

Ultimate Shrinkage Strain given Loss in Prestress Example

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Here is how the Ultimate Shrinkage Strain given Loss in Prestress equation looks like with Values.

Here is how the Ultimate Shrinkage Strain given Loss in Prestress equation looks like with Units.

Here is how the Ultimate Shrinkage Strain given Loss in Prestress equation looks like.

0.1 = \frac{20}{200000}

0.1 = \frac{20GPa}{200000MPa}

0.1 = \frac{20}{200000}

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Ultimate Shrinkage Strain given Loss in Prestress Solution

Follow our step by step solution on how to calculate Ultimate Shrinkage Strain given Loss in Prestress?

FIRST Step Consider the formula

ε sh = \frac{Δf loss}{E s}

Next Step Substitute values of Variables

∴

ε sh = \frac{20GPa}{200000MPa}

Next Step Convert Units

∴

ε sh = \frac{2E+10Pa}{2E+11Pa}

Next Step Prepare to Evaluate

∴

ε sh = \frac{2E+10}{2E+11}

LAST Step Evaluate

∴

ε sh = 0.1

Ultimate Shrinkage Strain given Loss in Prestress Formula Elements

Variables

Shrinkage Strain

Shrinkage Strain is the value for strain caused due to shrinkage in concrete.

Symbol: ε_sh

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Shrinkage Strain

Loss in Prestress

Loss in Prestress is the loss found in the prestress due to shrinkage or creep or anchorage slip etc.

Symbol: Δf_loss

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Loss in Prestress

Modulus of Elasticity of Steel Reinforcement

Modulus of Elasticity of Steel Reinforcement is a measure of its stiffness.

Symbol: E_s

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity of Steel Reinforcement

Other Formulas to find Shrinkage Strain

Go Shrinkage Strain for Post tensioning

ε sh = \frac{0.002}{\log 10 (t + 2)}

Other formulas in Losses due to Creep and Shrinkage category

Go Ultimate Creep Strain

ε cr,ult = Φ \cdot ε el

Go Elastic Strain given Creep Strain

ε el = \frac{ε cr,ult}{Φ}

Go Creep Coefficient given Creep Strain

Φ = \frac{ε cr,ult}{ε el}

Go Loss in Prestress given Creep Strain

Δf loss = E s \cdot ε cr,ult

How to Evaluate Ultimate Shrinkage Strain given Loss in Prestress?

Ultimate Shrinkage Strain given Loss in Prestress evaluator uses Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement to evaluate 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 evaluate Ultimate Shrinkage Strain given Loss in Prestress using this online evaluator? To use this online evaluator 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.

FAQs on Ultimate Shrinkage Strain given Loss in Prestress

What is the formula to find Ultimate Shrinkage Strain given Loss in Prestress?

The formula of Ultimate Shrinkage Strain given Loss in Prestress is expressed as Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement. Here is an example- 0.1 = 20000000000/200000000000.

How to calculate Ultimate Shrinkage Strain given Loss in Prestress?

With Loss in Prestress (Δf_loss) & Modulus of Elasticity of Steel Reinforcement (E_s) we can find Ultimate Shrinkage Strain given Loss in Prestress using the formula - Shrinkage Strain = Loss in Prestress/Modulus of Elasticity of Steel Reinforcement.

What are the other ways to Calculate Shrinkage Strain?

Here are the different ways to Calculate Shrinkage Strain-

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

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Ultimate Shrinkage Strain given Loss in Prestress Formula

​GoShrinkage Strain for Post tensioning Formula

Ultimate Shrinkage Strain given Loss in Prestress Example

Ultimate Shrinkage Strain given Loss in Prestress Solution

Ultimate Shrinkage Strain given Loss in Prestress Formula Elements

Other Formulas to find Shrinkage Strain

Other formulas in Losses due to Creep and Shrinkage category

How to Evaluate Ultimate Shrinkage Strain given Loss in Prestress?

FAQs on Ultimate Shrinkage Strain given Loss in Prestress

Variable Name

GoShrinkage Strain for Post tensioning Formula