FormulaDen.com

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

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

GoChange in diameter in thin cylindrical strain given volumetric strain Formula

GoChange in diameter of vessel given internal fluid pressure Formula

Fx Copy

LaTeX Copy

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

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

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

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

With values

With units

Only example

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

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

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

4998.289 = \frac{(\frac{56}{\frac{3.1416}{4}}) - (1100 \cdot (2200^{2}))}{2 \cdot 2200 \cdot 3000}

4998.289mm = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (1100mm \cdot ({2200mm}^{2}))}{2 \cdot 2200mm \cdot 3000mm}

4998.289 = \frac{(\frac{56}{\frac{3.1416}{4}}) - (1100 \cdot (2200^{2}))}{2 \cdot 2200 \cdot 3000}

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 diameter of cylindrical shell given change in volume of cylindrical shell

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∆d = \frac{(\frac{56m³}{\frac{π}{4}}) - (1100mm \cdot ({2200mm}^{2}))}{2 \cdot 2200mm \cdot 3000mm}

Next Step Substitute values of Constants

∴

∆d = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (1100mm \cdot ({2200mm}^{2}))}{2 \cdot 2200mm \cdot 3000mm}

Next Step Convert Units

∴

∆d = \frac{(\frac{56m³}{\frac{3.1416}{4}}) - (1.1m \cdot ({2.2m}^{2}))}{2 \cdot 2.2m \cdot 3m}

Next Step Prepare to Evaluate

∴

∆d = \frac{(\frac{56}{\frac{3.1416}{4}}) - (1.1 \cdot ({2.2}^{2}))}{2 \cdot 2.2 \cdot 3}

Next Step Evaluate

∴

∆d = 4.99828897766433m

Next Step Convert to Output's Unit

∴

∆d = 4998.28897766433mm

LAST Step Rounding Answer

∴

∆d = 4998.289mm

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

Variables

Constants

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

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

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

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

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 Diameter

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 vessel given internal fluid pressure

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

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 length in thin cylindrical strain given volumetric strain

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

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

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

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)

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

Change in diameter of cylindrical shell given change in volume of cylindrical shell evaluator uses Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell) to evaluate the Change in Diameter, Change in diameter of cylindrical shell given change in volume of cylindrical shell formula is the change in length of the chord that runs through the center point of the circle. It is the longest possible chord of any circle. Change in Diameter is denoted by ∆d symbol.

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

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

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

The formula of Change in diameter of cylindrical shell given change in volume of cylindrical shell is expressed as Change in Diameter = ((Change in Volume/(pi/4))-(Change in Length*(Diameter of Shell^2)))/(2*Diameter of Shell*Length Of Cylindrical Shell). Here is an example- 5E+6 = ((56/(pi/4))-(1.1*(2.2^2)))/(2*2.2*3).

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

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

What are the other ways to Calculate Change in Diameter?

Here are the different ways to Calculate Change in Diameter-

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

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

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

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

​GoChange in diameter of vessel given internal fluid pressure Formula

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

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

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

Other Formulas to find Change in Diameter

Other formulas in Change in Dimensions category

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

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

Variable Name

GoChange in diameter in thin cylindrical strain given volumetric strain Formula

GoChange in diameter of vessel given internal fluid pressure Formula