True strain Calculator

✖The instantaneous length is the length after application of load.ⓘ Instantaneous length [l_i]			+10% -10%
✖Initial Length before the application of load.ⓘ Initial Length [l₀]			+10% -10%

✖True strain is the instantaneous elongation per unit length.ⓘ True strain [ϵ_T]

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Formula

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True strain

Formula

`"ϵ"_{"T"} = ln("l"_{"i"}/"l"_{"0"})`

Example

`"-5.521461"=ln("2cm"/"5000mm")`

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True strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

True strain = ln(Instantaneous length/Initial Length)
ϵ_T = ln(l_i/l₀)
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

True strain - True strain is the instantaneous elongation per unit length.
Instantaneous length - (Measured in Meter) - The instantaneous length is the length after application of load.
Initial Length - (Measured in Meter) - Initial Length before the application of load.

STEP 1: Convert Input(s) to Base Unit

Instantaneous length: 2 Centimeter --> 0.02 Meter (Check conversion here)
Initial Length: 5000 Millimeter --> 5 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ϵ_T = ln(l_i/l₀) --> ln(0.02/5)

Evaluating ... ...

ϵ_T = -5.52146091786225

STEP 3: Convert Result to Output's Unit

-5.52146091786225 --> No Conversion Required

FINAL ANSWER

-5.52146091786225 ≈ -5.521461 <-- True strain

(Calculation completed in 00.004 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

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< 10+ Stress and Strain Calculators

Strain hardening exponent

Go Strain hardening exponent = (ln(True stress)-ln(K value))/ln(True strain)

Resolved shear stress

Go Resolved shear stress = Applied stress*cos(Slip plane angle)*cos(Slip direction angle)

Engineering strain

Go Engineering strain = (Instantaneous length-Initial Length)/Initial Length

True strain

Go True strain = ln(Instantaneous length/Initial Length)

Maximum Shear Stress from Tresca Criterion

Go Maximum Shear Stress = (Largest principal stress-Smallest principal stress)/2

True stress

Go True stress = Engineering stress*(1+Engineering strain)

Engineering stress

Go Engineering stress = Load/Cross-sectional Area

Safe stress

Go Safe Stress = Yield Strength/Factor of Safety

True strain from Engineering strain

Go True strain = ln(1+Engineering strain)

Maximum Shear Stress from Von Mises Criterion

Go Maximum Shear Stress = 0.577*Yield Strength

True strain Formula

True strain = ln(Instantaneous length/Initial Length)
ϵ_T = ln(l_i/l₀)

True strain

True strain is the instantaneous elongation per unit length. It can be written as the natural logarithm of ratio of instantaneous length and original length.

How to Calculate True strain?

True strain calculator uses True strain = ln(Instantaneous length/Initial Length) to calculate the True strain, True strain is the instantaneous elongation per unit length. True strain is denoted by ϵ_T symbol.

How to calculate True strain using this online calculator? To use this online calculator for True strain, enter Instantaneous length (l_i) & Initial Length (l₀) and hit the calculate button. Here is how the True strain calculation can be explained with given input values -> -5.521461 = ln(0.02/5).

FAQ

What is True strain?

True strain is the instantaneous elongation per unit length and is represented as ϵ_T = ln(l_i/l₀) or True strain = ln(Instantaneous length/Initial Length). The instantaneous length is the length after application of load & Initial Length before the application of load.

How to calculate True strain?

True strain is the instantaneous elongation per unit length is calculated using True strain = ln(Instantaneous length/Initial Length). To calculate True strain, you need Instantaneous length (l_i) & Initial Length (l₀). With our tool, you need to enter the respective value for Instantaneous length & Initial Length 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 True strain?

In this formula, True strain uses Instantaneous length & Initial Length. We can use 1 other way(s) to calculate the same, which is/are as follows -

True strain = ln(1+Engineering strain)

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