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Shrinkage Strain for Post tensioning Formula

GoUltimate Shrinkage Strain given Loss in Prestress Formula

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

ε sh = \frac{0.002}{\log 10 (t + 2)}

ε_sh - Shrinkage Strain?t - Age of Concrete?

Shrinkage Strain for Post tensioning Example

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Here is how the Shrinkage Strain for Post tensioning equation looks like with Values.

Here is how the Shrinkage Strain for Post tensioning equation looks like with Units.

Here is how the Shrinkage Strain for Post tensioning equation looks like.

0.0003 = \frac{0.002}{\log 10 (28 + 2)}

0.0003 = \frac{0.002}{\log 10 (28d + 2)}

0.0003 = \frac{0.002}{\log 10 (28 + 2)}

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Shrinkage Strain for Post tensioning Solution

Follow our step by step solution on how to calculate Shrinkage Strain for Post tensioning?

FIRST Step Consider the formula

ε sh = \frac{0.002}{\log 10 (t + 2)}

Next Step Substitute values of Variables

∴

ε sh = \frac{0.002}{\log 10 (28d + 2)}

Next Step Convert Units

∴

ε sh = \frac{0.002}{\log 10 (2.4E+6s + 2)}

Next Step Prepare to Evaluate

∴

ε sh = \frac{0.002}{\log 10 (2.4E+6 + 2)}

Next Step Evaluate

∴

ε sh = 0.000313299298330934

LAST Step Rounding Answer

∴

ε sh = 0.0003

Shrinkage Strain for Post tensioning Formula Elements

Variables

Functions

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

Age of Concrete

Age of Concrete is the time elapsed since it was poured in place and left to set.

Symbol: t

Measurement: TimeUnit: d

Note: Value should be greater than 0.

Formulas to find Age of Concrete

log10

The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function.

Syntax: log10(Number)

Other Formulas to find Shrinkage Strain

Go Ultimate Shrinkage Strain given Loss in Prestress

ε sh = \frac{Δf loss}{E s}

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 Shrinkage Strain for Post tensioning?

Shrinkage Strain for Post tensioning evaluator uses Shrinkage Strain = 0.002/(log10(Age of Concrete+2)) to evaluate the Shrinkage Strain, The Shrinkage Strain for Post tensioning is defined as the approximate value for the strain occurred due to shrinkage in concrete which depends on the age of concrete. Shrinkage Strain is denoted by ε_sh symbol.

How to evaluate Shrinkage Strain for Post tensioning using this online evaluator? To use this online evaluator for Shrinkage Strain for Post tensioning, enter Age of Concrete (t) and hit the calculate button.

FAQs on Shrinkage Strain for Post tensioning

What is the formula to find Shrinkage Strain for Post tensioning?

The formula of Shrinkage Strain for Post tensioning is expressed as Shrinkage Strain = 0.002/(log10(Age of Concrete+2)). Here is an example- 0.000313 = 0.002/(log10(2419200+2)).

How to calculate Shrinkage Strain for Post tensioning?

With Age of Concrete (t) we can find Shrinkage Strain for Post tensioning using the formula - Shrinkage Strain = 0.002/(log10(Age of Concrete+2)). This formula also uses Common Logarithm Function function(s).

What are the other ways to Calculate Shrinkage Strain?

Here are the different ways to Calculate Shrinkage Strain-

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

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