FormulaDen.com

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

Change in length of cylindrical shell given change in volume of cylindrical shell Formula

GoChange in length in thin cylindrical strain given volumetric strain Formula

GoChange in length of thin cylindrical shell given internal fluid pressure Formula

Fx Copy

LaTeX Copy

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

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

ΔL - Change in Length?∆V - Change in Volume?D - Diameter of Shell?L_cylinder - Length Of Cylindrical Shell?∆d - Change in Diameter?π - Archimedes' constant?

Change in length of cylindrical shell given change in volume of cylindrical shell Example

With values

With units

Only example

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

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

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

14593.9699 = \frac{(\frac{56}{\frac{3.1416}{4}}) - (2 \cdot 2200 \cdot 3000 \cdot 50.5)}{(2200^{2})}

14593.9699mm = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (2 \cdot 2200mm \cdot 3000mm \cdot 50.5mm)}{({2200mm}^{2})}

14593.9699 = \frac{(\frac{56}{\frac{3.1416}{4}}) - (2 \cdot 2200 \cdot 3000 \cdot 50.5)}{(2200^{2})}

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 Change in length of cylindrical shell given change in volume of cylindrical shell

Change in length of cylindrical shell given change in volume of cylindrical shell Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ΔL = \frac{(\frac{56m³}{\frac{π}{4}}) - (2 \cdot 2200mm \cdot 3000mm \cdot 50.5mm)}{({2200mm}^{2})}

Next Step Substitute values of Constants

∴

ΔL = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (2 \cdot 2200mm \cdot 3000mm \cdot 50.5mm)}{({2200mm}^{2})}

Next Step Convert Units

∴

ΔL = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (2 \cdot 2.2m \cdot 3m \cdot 0.0505m)}{({2.2m}^{2})}

Next Step Prepare to Evaluate

∴

ΔL = \frac{(\frac{56}{\frac{3.1416}{4}}) - (2 \cdot 2.2 \cdot 3 \cdot 0.0505)}{({2.2}^{2})}

Next Step Evaluate

∴

ΔL = 14.5939699390845m

Next Step Convert to Output's Unit

∴

ΔL = 14593.9699390845mm

LAST Step Rounding Answer

∴

ΔL = 14593.9699mm

Change in length of cylindrical shell given change in volume of cylindrical shell Formula Elements

Variables

Constants

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

Change in Volume

The Change in volume is difference of initial and final volume.

Symbol: ∆V

Measurement: VolumeUnit: m³

Note: Value can be positive or negative.

Formulas to find Change in Volume

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

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 Diameter

The Change in Diameter is the difference between the initial and final diameter.

Symbol: ∆d

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Change in Diameter

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Change in Length

Go Change in length in thin cylindrical strain given volumetric strain

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

Go Change in length of thin cylindrical shell given internal fluid pressure

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

Go Change in length of thin cylindrical vessel given longitudinal strain

ΔL = ε longitudinal \cdot L 0

Other formulas in Change in Dimensions category

Go Change in circumference of vessel due to pressure given circumferential strain

δC = C \cdot e 1

Go Change in diameter in thin cylindrical strain given volumetric strain

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

Go Change in diameter of cylindrical shell given change in volume of cylindrical shell

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

Go Change in diameter of vessel given internal fluid pressure

∆d = (\frac{P i \cdot ({D i}^{2})}{2 \cdot t \cdot E}) \cdot (1 - (\frac{𝛎}{2}))

How to Evaluate Change in length of cylindrical shell given change in volume of cylindrical shell?

Change in length of cylindrical shell given change in volume of cylindrical shell evaluator uses Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2)) to evaluate the Change in Length, The Change in length of cylindrical shell given change in volume of cylindrical shell formula is defined as the measurement or extent of something from end to end. Change in Length is denoted by ΔL symbol.

How to evaluate Change in length of cylindrical shell given change in volume of cylindrical shell using this online evaluator? To use this online evaluator for Change in length of cylindrical shell given change in volume of cylindrical shell, enter Change in Volume (∆V), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder) & Change in Diameter (∆d) and hit the calculate button.

FAQs on Change in length of cylindrical shell given change in volume of cylindrical shell

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

The formula of Change in length of cylindrical shell given change in volume of cylindrical shell is expressed as Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2)). Here is an example- 1.5E+7 = ((56/(pi/4))-(2*2.2*3*0.0505))/((2.2^2)).

How to calculate Change in length of cylindrical shell given change in volume of cylindrical shell?

With Change in Volume (∆V), Diameter of Shell (D), Length Of Cylindrical Shell (L_cylinder) & Change in Diameter (∆d) we can find Change in length of cylindrical shell given change in volume of cylindrical shell using the formula - Change in Length = ((Change in Volume/(pi/4))-(2*Diameter of Shell*Length Of Cylindrical Shell*Change in Diameter))/((Diameter of Shell^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Change in Length?

Here are the different ways to Calculate Change in Length-

Change in Length=(Volumetric Strain-(2*Change in Diameter/Diameter of Shell))*Length Of Cylindrical Shell
Change in Length=((Internal Pressure in thin shell*Diameter of Shell*Length Of Cylindrical Shell)/(2*Thickness Of Thin Shell*Modulus of Elasticity Of Thin Shell))*((1/2)-Poisson's Ratio)
Change in Length=Longitudinal Strain*Original Length

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

Yes, the Change in length of cylindrical shell given change in volume of cylindrical shell, measured in Length can be negative.

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

Change in length of cylindrical shell given change in volume 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 Change in length of cylindrical shell given change in volume of cylindrical shell can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Change in length of cylindrical shell given change in volume of cylindrical shell Formula

​GoChange in length in thin cylindrical strain given volumetric strain Formula

​GoChange in length of thin cylindrical shell given internal fluid pressure Formula

Change in length of cylindrical shell given change in volume of cylindrical shell Example

Change in length of cylindrical shell given change in volume of cylindrical shell Solution

Change in length of cylindrical shell given change in volume of cylindrical shell Formula Elements

Other Formulas to find Change in Length

Other formulas in Change in Dimensions category

How to Evaluate Change in length of cylindrical shell given change in volume of cylindrical shell?

FAQs on Change in length of cylindrical shell given change in volume of cylindrical shell

Variable Name

GoChange in length in thin cylindrical strain given volumetric strain Formula

GoChange in length of thin cylindrical shell given internal fluid pressure Formula