FormulaDen.com

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

Length of cylindrical shell given change in length of cylindrical shell Formula

GoLength of cylindrical shell given change in volume of cylindrical shell Formula

GoLength of thin cylindrical strain given volumetric strain Formula

Fx Copy

LaTeX Copy

Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end. Check FAQs

L cylinder = \frac{ΔL \cdot (2 \cdot t \cdot E)}{((P i \cdot D)) \cdot ((\frac{1}{2}) - 𝛎)}

L_cylinder - Length Of Cylindrical Shell?ΔL - Change in Length?t - Thickness Of Thin Shell?E - Modulus of Elasticity Of Thin Shell?P_i - Internal Pressure in thin shell?D - Diameter of Shell?𝛎 - Poisson's Ratio?

Length of cylindrical shell given change in length of cylindrical shell Example

With values

With units

Only example

Here is how the Length of cylindrical shell given change in length of cylindrical shell equation looks like with Values.

Here is how the Length of cylindrical shell given change in length of cylindrical shell equation looks like with Units.

Here is how the Length of cylindrical shell given change in length of cylindrical shell equation looks like.

1875 = \frac{1100 \cdot (2 \cdot 525 \cdot 10)}{((14 \cdot 2200)) \cdot ((\frac{1}{2}) - 0.3)}

1875mm = \frac{1100mm \cdot (2 \cdot 525mm \cdot 10MPa)}{((14MPa \cdot 2200mm)) \cdot ((\frac{1}{2}) - 0.3)}

1875 = \frac{1100 \cdot (2 \cdot 525 \cdot 10)}{((14 \cdot 2200)) \cdot ((\frac{1}{2}) - 0.3)}

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 Length of cylindrical shell given change in length of cylindrical shell

Length of cylindrical shell given change in length of cylindrical shell Solution

Follow our step by step solution on how to calculate Length of cylindrical shell given change in length of cylindrical shell?

FIRST Step Consider the formula

L cylinder = \frac{ΔL \cdot (2 \cdot t \cdot E)}{((P i \cdot D)) \cdot ((\frac{1}{2}) - 𝛎)}

Next Step Substitute values of Variables

∴

L cylinder = \frac{1100mm \cdot (2 \cdot 525mm \cdot 10MPa)}{((14MPa \cdot 2200mm)) \cdot ((\frac{1}{2}) - 0.3)}

Next Step Convert Units

∴

L cylinder = \frac{1.1m \cdot (2 \cdot 0.525m \cdot 1E+7Pa)}{((1.4E+7Pa \cdot 2.2m)) \cdot ((\frac{1}{2}) - 0.3)}

Next Step Prepare to Evaluate

∴

L cylinder = \frac{1.1 \cdot (2 \cdot 0.525 \cdot 1E+7)}{((1.4E+7 \cdot 2.2)) \cdot ((\frac{1}{2}) - 0.3)}

Next Step Evaluate

∴

L cylinder = 1.875m

LAST Step Convert to Output's Unit

∴

L cylinder = 1875mm

Length of cylindrical shell given change in length of cylindrical shell Formula Elements

Variables

Length Of Cylindrical Shell

Length Of Cylindrical Shell is the measurement or extent of cylinder from end to end.

Symbol: L_cylinder

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length Of Cylindrical Shell

Change in Length

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

Symbol: ΔL

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Length

Thickness Of Thin Shell

Thickness Of Thin Shell is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness Of 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

Internal Pressure in thin shell

Internal Pressure in thin shell is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature.

Symbol: P_i

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Internal Pressure in thin shell

Diameter of Shell

Diameter of Shell is the maximum width of cylinder in transverse direction.

Symbol: D

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of 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

Other Formulas to find Length Of Cylindrical Shell

Go Length of cylindrical shell given change in volume of cylindrical shell

L cylinder = \frac{(\frac{∆V}{\frac{π}{4}}) - (ΔL \cdot (D^{2}))}{2 \cdot D \cdot ∆d}

Go Length of thin cylindrical strain given volumetric strain

L cylinder = \frac{ΔL}{ε v - (2 \cdot \frac{∆d}{D})}

Other formulas in Stress and Strain category

Go Diameter of spherical shell given change in diameter of thin spherical shells

D = \sqrt{\frac{∆d \cdot \frac{4 \cdot t \cdot E}{1 - 𝛎}}{P i}}

Go Diameter of thin spherical shell given strain in any one direction

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

How to Evaluate Length of cylindrical shell given change in length of cylindrical shell?

Length of cylindrical shell given change in length of cylindrical shell evaluator uses Length Of Cylindrical Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio)) to evaluate the Length Of Cylindrical Shell, The Length of cylindrical shell given change in length of cylindrical shell formula is defined as the measurement or extent of something from end to end. Length Of Cylindrical Shell is denoted by L_cylinder symbol.

How to evaluate Length of cylindrical shell given change in length of cylindrical shell using this online evaluator? To use this online evaluator for Length of cylindrical shell given change in length of cylindrical shell, enter Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i), Diameter of Shell (D) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Length of cylindrical shell given change in length of cylindrical shell

What is the formula to find Length of cylindrical shell given change in length of cylindrical shell?

The formula of Length of cylindrical shell given change in length of cylindrical shell is expressed as Length Of Cylindrical Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio)). Here is an example- 1.9E+6 = (1.1*(2*0.525*10000000))/(((14000000*2.2))*((1/2)-0.3)).

How to calculate Length of cylindrical shell given change in length of cylindrical shell?

With Change in Length (ΔL), Thickness Of Thin Shell (t), Modulus of Elasticity Of Thin Shell (E), Internal Pressure in thin shell (P_i), Diameter of Shell (D) & Poisson's Ratio (𝛎) we can find Length of cylindrical shell given change in length of cylindrical shell using the formula - Length Of Cylindrical Shell = (Change in Length*(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))/(((Internal Pressure in thin shell*Diameter of Shell))*((1/2)-Poisson's Ratio)).

What are the other ways to Calculate Length Of Cylindrical Shell?

Here are the different ways to Calculate Length Of Cylindrical Shell-

Length Of Cylindrical Shell=((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Change in Diameter)
Length Of Cylindrical Shell=Change in Length/(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))

Can the Length of cylindrical shell given change in length of cylindrical shell be negative?

No, the Length of cylindrical shell given change in length of cylindrical shell, measured in Length cannot be negative.

Which unit is used to measure Length of cylindrical shell given change in length of cylindrical shell?

Length of cylindrical shell given change in length of cylindrical shell is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of cylindrical shell given change in length of cylindrical shell can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Length of cylindrical shell given change in length of cylindrical shell Formula

​GoLength of cylindrical shell given change in volume of cylindrical shell Formula

​GoLength of thin cylindrical strain given volumetric strain Formula

Length of cylindrical shell given change in length of cylindrical shell Example

Length of cylindrical shell given change in length of cylindrical shell Solution

Length of cylindrical shell given change in length of cylindrical shell Formula Elements

Other Formulas to find Length Of Cylindrical Shell

Other formulas in Stress and Strain category

How to Evaluate Length of cylindrical shell given change in length of cylindrical shell?

FAQs on Length of cylindrical shell given change in length of cylindrical shell

Variable Name

GoLength of cylindrical shell given change in volume of cylindrical shell Formula

GoLength of thin cylindrical strain given volumetric strain Formula