FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Longitudinal strain given hoop and longitudinal stress Formula

GoLongitudinal strain for vessel given change in length formula Formula

GoLongitudinal strain given volume of thin cylindrical shell Formula

Fx Copy

LaTeX Copy

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

ε longitudinal = \frac{σ l - (𝛎 \cdot σ θ)}{E}

ε_longitudinal - Longitudinal Strain?σ_l - Longitudinal Stress Thick Shell?𝛎 - Poisson's Ratio?σ_θ - Hoop Stress in Thin shell?E - Modulus of Elasticity Of Thin Shell?

Longitudinal strain given hoop and longitudinal stress Example

With values

With units

Only example

Here is how the Longitudinal strain given hoop and longitudinal stress equation looks like with Values.

Here is how the Longitudinal strain given hoop and longitudinal stress equation looks like with Units.

Here is how the Longitudinal strain given hoop and longitudinal stress equation looks like.

-0.7429 = \frac{0.08 - (0.3 \cdot 25.03)}{10}

-0.7429 = \frac{0.08MPa - (0.3 \cdot 25.03MPa)}{10MPa}

-0.7429 = \frac{0.08 - (0.3 \cdot 25.03)}{10}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Longitudinal strain given hoop and longitudinal stress

Longitudinal strain given hoop and longitudinal stress Solution

Follow our step by step solution on how to calculate Longitudinal strain given hoop and longitudinal stress?

FIRST Step Consider the formula

ε longitudinal = \frac{σ l - (𝛎 \cdot σ θ)}{E}

Next Step Substitute values of Variables

∴

ε longitudinal = \frac{0.08MPa - (0.3 \cdot 25.03MPa)}{10MPa}

Next Step Convert Units

∴

ε longitudinal = \frac{80000Pa - (0.3 \cdot 2.5E+7Pa)}{1E+7Pa}

Next Step Prepare to Evaluate

∴

ε longitudinal = \frac{80000 - (0.3 \cdot 2.5E+7)}{1E+7}

LAST Step Evaluate

∴

ε longitudinal = -0.7429

Longitudinal strain given hoop and longitudinal stress Formula Elements

Variables

Longitudinal Strain

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

Symbol: ε_longitudinal

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Longitudinal Strain

Longitudinal Stress Thick Shell

Longitudinal Stress Thick Shell is defined as the stress produced when a pipe is subjected to internal pressure.

Symbol: σ_l

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal Stress Thick Shell

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Poisson's Ratio

Hoop Stress in Thin shell

Hoop Stress in Thin shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Hoop Stress in Thin shell

Modulus of Elasticity Of Thin Shell

Modulus of Elasticity Of Thin Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thin Shell

Other Formulas to find Longitudinal Strain

Go Longitudinal strain for vessel given change in length formula

ε longitudinal = \frac{ΔL}{L 0}

Go Longitudinal strain given volume of thin cylindrical shell

ε longitudinal = (\frac{∆V}{V T}) - (2 \cdot e 1)

Go Longitudinal strain given volumetric strain for thin cylindrical shell

ε longitudinal = (ε v - (2 \cdot e 1))

Go Longitudinal strain in thin cylindrical vessel given internal fluid pressure

ε longitudinal = (\frac{P i \cdot D i}{2 \cdot t \cdot E}) \cdot ((\frac{1}{2}) - 𝛎)

Other formulas in Deformation category

Go Strain in any one direction of thin spherical shell

ε = (\frac{σ θ}{E}) \cdot (1 - 𝛎)

Go Strain in thin spherical shell given internal fluid pressure

ε = (\frac{P i \cdot D}{4 \cdot t \cdot E}) \cdot (1 - 𝛎)

Go Circumferential strain given circumference

e 1 = \frac{δC}{C}

Go Circumferential strain given hoop stress

e 1 = \frac{σ θ - (𝛎 \cdot σ l)}{E}

How to Evaluate Longitudinal strain given hoop and longitudinal stress?

Longitudinal strain given hoop and longitudinal stress evaluator uses Longitudinal Strain = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Modulus of Elasticity Of Thin Shell to evaluate the Longitudinal Strain, Longitudinal strain given hoop and longitudinal stress is the change in the length to the original length of an object. It is caused due to longitudinal stress and is denoted by the Greek letter epsilon 𝜺. Longitudinal Strain is denoted by ε_longitudinal symbol.

How to evaluate Longitudinal strain given hoop and longitudinal stress using this online evaluator? To use this online evaluator for Longitudinal strain given hoop and longitudinal stress, enter Longitudinal Stress Thick Shell (σ_l), Poisson's Ratio (𝛎), Hoop Stress in Thin shell (σ_θ) & Modulus of Elasticity Of Thin Shell (E) and hit the calculate button.

FAQs on Longitudinal strain given hoop and longitudinal stress

What is the formula to find Longitudinal strain given hoop and longitudinal stress?

The formula of Longitudinal strain given hoop and longitudinal stress is expressed as Longitudinal Strain = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Modulus of Elasticity Of Thin Shell. Here is an example- -0.7429 = (80000-(0.3*25030000))/10000000.

How to calculate Longitudinal strain given hoop and longitudinal stress?

With Longitudinal Stress Thick Shell (σ_l), Poisson's Ratio (𝛎), Hoop Stress in Thin shell (σ_θ) & Modulus of Elasticity Of Thin Shell (E) we can find Longitudinal strain given hoop and longitudinal stress using the formula - Longitudinal Strain = (Longitudinal Stress Thick Shell-(Poisson's Ratio*Hoop Stress in Thin shell))/Modulus of Elasticity Of Thin Shell.

What are the other ways to Calculate Longitudinal Strain?

Here are the different ways to Calculate Longitudinal Strain-

Longitudinal Strain=Change in Length/Original Length
Longitudinal Strain=(Change in Volume/Volume of Thin Cylindrical Shell)-(2*Circumferential Strain Thin Shell)
Longitudinal Strain=(Volumetric Strain-(2*Circumferential Strain Thin Shell))

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Longitudinal strain given hoop and longitudinal stress Formula

​GoLongitudinal strain for vessel given change in length formula Formula

​GoLongitudinal strain given volume of thin cylindrical shell Formula

Longitudinal strain given hoop and longitudinal stress Example

Longitudinal strain given hoop and longitudinal stress Solution

Longitudinal strain given hoop and longitudinal stress Formula Elements

Other Formulas to find Longitudinal Strain

Other formulas in Deformation category

How to Evaluate Longitudinal strain given hoop and longitudinal stress?

FAQs on Longitudinal strain given hoop and longitudinal stress

Variable Name

GoLongitudinal strain for vessel given change in length formula Formula

GoLongitudinal strain given volume of thin cylindrical shell Formula