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Mass of compound cylinder given increase in inner radius of outer cylinder Formula

GoMass of compound cylinder given decrease in outer radius of inner cylinder Formula

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Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it. Check FAQs

M = \frac{P v}{(\frac{R i}{\frac{r *}{E}}) - σ θ}

M - Mass Of Shell?P_v - Radial Pressure?R_i - Increase in radius?r_* - Radius at Junction?E - Modulus of Elasticity Of Thick Shell?σ_θ - Hoop Stress on thick shell?

Mass of compound cylinder given increase in inner radius of outer cylinder Example

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Here is how the Mass of compound cylinder given increase in inner radius of outer cylinder equation looks like with Values.

Here is how the Mass of compound cylinder given increase in inner radius of outer cylinder equation looks like with Units.

Here is how the Mass of compound cylinder given increase in inner radius of outer cylinder equation looks like.

6.2921 = \frac{0.014}{(\frac{6.5}{\frac{4000}{2.6}}) - 0.002}

6.2921kg = \frac{0.014MPa/m²}{(\frac{6.5mm}{\frac{4000mm}{2.6MPa}}) - 0.002MPa}

6.2921 = \frac{0.014}{(\frac{6.5}{\frac{4000}{2.6}}) - 0.002}

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Mass of compound cylinder given increase in inner radius of outer cylinder Solution

Follow our step by step solution on how to calculate Mass of compound cylinder given increase in inner radius of outer cylinder?

FIRST Step Consider the formula

M = \frac{P v}{(\frac{R i}{\frac{r *}{E}}) - σ θ}

Next Step Substitute values of Variables

∴

M = \frac{0.014MPa/m²}{(\frac{6.5mm}{\frac{4000mm}{2.6MPa}}) - 0.002MPa}

Next Step Convert Units

∴

M = \frac{14000Pa/m²}{(\frac{0.0065m}{\frac{4m}{2.6E+6Pa}}) - 2000Pa}

Next Step Prepare to Evaluate

∴

M = \frac{14000}{(\frac{0.0065}{\frac{4}{2.6E+6}}) - 2000}

Next Step Evaluate

∴

M = 6.29213483146067kg

LAST Step Rounding Answer

∴

M = 6.2921kg

Mass of compound cylinder given increase in inner radius of outer cylinder Formula Elements

Variables

Mass Of Shell

Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Of Shell

Radial Pressure

Radial Pressure is pressure towards or away from the central axis of a component.

Symbol: P_v

Measurement: Radial PressureUnit: MPa/m²

Note: Value can be positive or negative.

Formulas to find Radial Pressure

Increase in radius

Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.

Symbol: R_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in radius

Radius at Junction

The Radius at Junction is the radius value at the junction of compound cylinders.

Symbol: r_*

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius at Junction

Modulus of Elasticity Of Thick Shell

Modulus of Elasticity Of Thick 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 Thick Shell

Hoop Stress on thick shell

Hoop Stress on thick shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Hoop Stress on thick shell

Other Formulas to find Mass Of Shell

Go Mass of compound cylinder given decrease in outer radius of inner cylinder

M = \frac{P v}{(\frac{R d}{\frac{r *}{E}}) - σ θ}

Other formulas in Compound Cylinder Shrinkage Radii Change category

Go Increase in inner radius of outer cylinder at junction of compound cylinder

R i = (\frac{r *}{E}) \cdot (σ θ + (\frac{P v}{M}))

Go Radius at junction of compound cylinder given increase in inner radius of outer cylinder

r * = \frac{R i \cdot E}{σ θ + (\frac{P v}{M})}

Go Radial pressure given increase in inner radius of outer cylinder

P v = ((\frac{R i}{\frac{r *}{E}}) - σ θ) \cdot M

Go Hoop stress given increase in inner radius of outer cylinder

σ θ = (\frac{R i}{\frac{r *}{E}}) - (\frac{P v}{M})

How to Evaluate Mass of compound cylinder given increase in inner radius of outer cylinder?

Mass of compound cylinder given increase in inner radius of outer cylinder evaluator uses Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell) to evaluate the Mass Of Shell, The Mass of compound cylinder given increase in inner radius of outer cylinder formula is defined as both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity concerning the time) when a net force is applied. Mass Of Shell is denoted by M symbol.

How to evaluate Mass of compound cylinder given increase in inner radius of outer cylinder using this online evaluator? To use this online evaluator for Mass of compound cylinder given increase in inner radius of outer cylinder, enter Radial Pressure (P_v), Increase in radius (R_i), Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E) & Hoop Stress on thick shell (σ_θ) and hit the calculate button.

FAQs on Mass of compound cylinder given increase in inner radius of outer cylinder

What is the formula to find Mass of compound cylinder given increase in inner radius of outer cylinder?

The formula of Mass of compound cylinder given increase in inner radius of outer cylinder is expressed as Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell). Here is an example- 6.292135 = 14000/((0.0065/(4/2600000))-2000).

How to calculate Mass of compound cylinder given increase in inner radius of outer cylinder?

With Radial Pressure (P_v), Increase in radius (R_i), Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E) & Hoop Stress on thick shell (σ_θ) we can find Mass of compound cylinder given increase in inner radius of outer cylinder using the formula - Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell).

What are the other ways to Calculate Mass Of Shell?

Here are the different ways to Calculate Mass Of Shell-

Mass Of Shell=Radial Pressure/((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)

Can the Mass of compound cylinder given increase in inner radius of outer cylinder be negative?

No, the Mass of compound cylinder given increase in inner radius of outer cylinder, measured in Weight cannot be negative.

Which unit is used to measure Mass of compound cylinder given increase in inner radius of outer cylinder?

Mass of compound cylinder given increase in inner radius of outer cylinder is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of compound cylinder given increase in inner radius of outer cylinder can be measured.

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Mass of compound cylinder given increase in inner radius of outer cylinder Formula

​GoMass of compound cylinder given decrease in outer radius of inner cylinder Formula

Mass of compound cylinder given increase in inner radius of outer cylinder Example

Mass of compound cylinder given increase in inner radius of outer cylinder Solution

Mass of compound cylinder given increase in inner radius of outer cylinder Formula Elements

Other Formulas to find Mass Of Shell

Other formulas in Compound Cylinder Shrinkage Radii Change category

How to Evaluate Mass of compound cylinder given increase in inner radius of outer cylinder?

FAQs on Mass of compound cylinder given increase in inner radius of outer cylinder

Variable Name

GoMass of compound cylinder given decrease in outer radius of inner cylinder Formula