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Change in Length given Longitudinal Stress Formula

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Change in Length is after the application of force, change in the dimensions of the object. Check FAQs

ΔL = ε l \cdot L 0

ΔL - Change in Length?ε_l - Longitudinal Strain?L₀ - Initial Length?

Change in Length given Longitudinal Stress Example

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With units

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Here is how the Change in Length given Longitudinal Stress equation looks like with Values.

Here is how the Change in Length given Longitudinal Stress equation looks like with Units.

Here is how the Change in Length given Longitudinal Stress equation looks like.

2.2 = 0.01 \cdot 220

2.2m = 0.01 \cdot 220m

2.2 = 0.01 \cdot 220

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Change in Length given Longitudinal Stress Solution

Follow our step by step solution on how to calculate Change in Length given Longitudinal Stress?

FIRST Step Consider the formula

ΔL = ε l \cdot L 0

Next Step Substitute values of Variables

∴

ΔL = 0.01 \cdot 220m

Next Step Prepare to Evaluate

∴

ΔL = 0.01 \cdot 220

LAST Step Evaluate

∴

ΔL = 2.2m

Change in Length given Longitudinal Stress Formula Elements

Variables

Change in Length

Change in Length is after the application of force, change in the dimensions of the object.

Symbol: ΔL

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Change in Length

Longitudinal Strain

The Longitudinal Strain is ratio of change in length to original length.

Symbol: ε_l

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Longitudinal Strain

Initial Length

Initial Length refers to the original, undeformed length of a material before any external force or stress is applied.

Symbol: L₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length

Other formulas in Stress category

Go Stress

σ = \frac{F}{A elast}

Go Normal Stress or Longitudinal Stress

σ = \frac{F}{A elast}

Go Area of Body given Stress

A elast = \frac{F}{σ}

Go Original Length given Longitudinal Stress

L 0 = \frac{ΔL}{ε l}

How to Evaluate Change in Length given Longitudinal Stress?

Change in Length given Longitudinal Stress evaluator uses Change in Length = Longitudinal Strain*Initial Length to evaluate the Change in Length, Change in Length given Longitudinal Stress formula is defined as a measure of the alteration in the original length of an object as a result of external forces, which cause the material to stretch or compress, thereby changing its dimensions. This concept is crucial in understanding the behavior of materials under different types of stress. Change in Length is denoted by ΔL symbol.

How to evaluate Change in Length given Longitudinal Stress using this online evaluator? To use this online evaluator for Change in Length given Longitudinal Stress, enter Longitudinal Strain (ε_l) & Initial Length (L₀) and hit the calculate button.

FAQs on Change in Length given Longitudinal Stress

What is the formula to find Change in Length given Longitudinal Stress?

The formula of Change in Length given Longitudinal Stress is expressed as Change in Length = Longitudinal Strain*Initial Length. Here is an example- 222.2 = 0.01*220.

How to calculate Change in Length given Longitudinal Stress?

With Longitudinal Strain (ε_l) & Initial Length (L₀) we can find Change in Length given Longitudinal Stress using the formula - Change in Length = Longitudinal Strain*Initial Length.

Can the Change in Length given Longitudinal Stress be negative?

Yes, the Change in Length given Longitudinal Stress, measured in Length can be negative.

Which unit is used to measure Change in Length given Longitudinal Stress?

Change in Length given Longitudinal Stress is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Change in Length given Longitudinal Stress can be measured.

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