Original Length given Longitudinal Stress Calculator

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✖Change in Length is after the application of force, change in the dimensions of the object.ⓘ Change in Length [ΔL]			+10% -10%
✖The Longitudinal Strain is ratio of change in length to original length.ⓘ Longitudinal Strain [ε]			+10% -10%

✖Initial Length before the application of load.ⓘ Original Length given Longitudinal Stress [L₀]

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Formula

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Original Length given Longitudinal Stress

Formula

`"L"_{"0"} = "ΔL"/"ε"`

Example

`"10.89109m"="11m"/"1.01"`

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Original Length given Longitudinal Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Length = Change in Length/Longitudinal Strain
L₀ = ΔL/ε
This formula uses 3 Variables

Variables Used

Initial Length - (Measured in Meter) - Initial Length before the application of load.
Change in Length - (Measured in Meter) - Change in Length is after the application of force, change in the dimensions of the object.
Longitudinal Strain - The Longitudinal Strain is ratio of change in length to original length.

STEP 1: Convert Input(s) to Base Unit

Change in Length: 11 Meter --> 11 Meter No Conversion Required
Longitudinal Strain: 1.01 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L₀ = ΔL/ε --> 11/1.01

Evaluating ... ...

L₀ = 10.8910891089109

STEP 3: Convert Result to Output's Unit

10.8910891089109 Meter --> No Conversion Required

FINAL ANSWER

10.8910891089109 ≈ 10.89109 Meter <-- Initial Length

(Calculation completed in 00.004 seconds)

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Created by Dipto Mandal

Indian Institute of Information Technology (IIIT), Guwahati

Dipto Mandal has created this Calculator and 25+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

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Original Length given Longitudinal Stress

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Go Change in Volume = Volumetric Strain*Original Volume

Original Volume of Body given Volumetric Strain

Go Original Volume = Change in Volume/Volumetric Strain

Volume Strain

Go Volumetric Strain = Change in Volume/Original Volume

Normal Stress or Longitudinal Stress

Go Stress = Force/Area

Area of Body given Stress

Go Area = Force/Stress

Original Length given Longitudinal Stress Formula

Initial Length = Change in Length/Longitudinal Strain
L₀ = ΔL/ε

What is elasticity?

The ability of an object or material to resume its normal shape after being stretched or compressed; stretchiness.

How to Calculate Original Length given Longitudinal Stress?

Original Length given Longitudinal Stress calculator uses Initial Length = Change in Length/Longitudinal Strain to calculate the Initial Length, The Original Length given Longitudinal Stress formula is defined as the figure which could calculate the actual length of the body if longitudinal strain is given. Initial Length is denoted by L₀ symbol.

How to calculate Original Length given Longitudinal Stress using this online calculator? To use this online calculator for Original Length given Longitudinal Stress, enter Change in Length (ΔL) & Longitudinal Strain (ε) and hit the calculate button. Here is how the Original Length given Longitudinal Stress calculation can be explained with given input values -> 10.89109 = 11/1.01.

FAQ

What is Original Length given Longitudinal Stress?

The Original Length given Longitudinal Stress formula is defined as the figure which could calculate the actual length of the body if longitudinal strain is given and is represented as L₀ = ΔL/ε or Initial Length = Change in Length/Longitudinal Strain. Change in Length is after the application of force, change in the dimensions of the object & The Longitudinal Strain is ratio of change in length to original length.

How to calculate Original Length given Longitudinal Stress?

The Original Length given Longitudinal Stress formula is defined as the figure which could calculate the actual length of the body if longitudinal strain is given is calculated using Initial Length = Change in Length/Longitudinal Strain. To calculate Original Length given Longitudinal Stress, you need Change in Length (ΔL) & Longitudinal Strain (ε). With our tool, you need to enter the respective value for Change in Length & Longitudinal Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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