HCF of three numbers

True strain Calculator

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✖The instantaneous length is the length after application of load.ⓘ Instantaneous length [l_i]			+10% -10%
✖The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.ⓘ Original Length [L₀]			+10% -10%

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

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True strain Solution

STEP 0: Pre-Calculation Summary

Formula Used

True strain = ln(Instantaneous length/Original 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.
Original Length - (Measured in Meter) - The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.

STEP 1: Convert Input(s) to Base Unit

Instantaneous length: 2 Centimeter --> 0.02 Meter (Check conversion here)
Original 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 00.020 seconds)

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Credits

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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< Stress and Strain Calculators

Engineering strain

LaTeX Go Engineering strain = (Instantaneous length-Original Length)/Original Length

True strain

LaTeX Go True strain = ln(Instantaneous length/Original Length)

True stress

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

Engineering stress

LaTeX Go Engineering stress = Load/Cross-sectional Area

True strain Formula

LaTeX Go

True strain = ln(Instantaneous length/Original 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/Original 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) & Original 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/Original Length). The instantaneous length is the length after application of load & The Original Length refers to the material refers to its initial size or dimension before any external forces are applied.

How to calculate True strain?

True strain is the instantaneous elongation per unit length is calculated using True strain = ln(Instantaneous length/Original Length). To calculate True strain, you need Instantaneous length (l_i) & Original Length (L₀). With our tool, you need to enter the respective value for Instantaneous length & Original 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 & Original 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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