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Radial pressure given increase in inner radius of outer cylinder Formula

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GoRadial pressure given decrease in outer radius of inner cylinder Formula

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

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

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?M - Mass Of Shell?

Radial pressure given increase in inner radius of outer cylinder Example

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

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

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

0.0789 = ((\frac{6.5}{\frac{4000}{2.6}}) - 0.002) \cdot 35.45

0.0789MPa/m² = ((\frac{6.5mm}{\frac{4000mm}{2.6MPa}}) - 0.002MPa) \cdot 35.45kg

0.0789 = ((\frac{6.5}{\frac{4000}{2.6}}) - 0.002) \cdot 35.45

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Strength of Materials » fx Radial pressure given increase in inner radius of outer cylinder

Radial pressure given increase in inner radius of outer cylinder Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P v = ((\frac{6.5mm}{\frac{4000mm}{2.6MPa}}) - 0.002MPa) \cdot 35.45kg

Next Step Convert Units

∴

P v = ((\frac{0.0065m}{\frac{4m}{2.6E+6Pa}}) - 2000Pa) \cdot 35.45kg

Next Step Prepare to Evaluate

∴

P v = ((\frac{0.0065}{\frac{4}{2.6E+6}}) - 2000) \cdot 35.45

Next Step Evaluate

∴

P v = 78876.25Pa/m²

Next Step Convert to Output's Unit

∴

P v = 0.07887625MPa/m²

LAST Step Rounding Answer

∴

P v = 0.0789MPa/m²

Radial pressure given increase in inner radius of outer cylinder Formula Elements

Variables

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

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

Open Variable

Other Formulas to find Radial Pressure

Go Radial pressure given decrease in outer radius of inner cylinder

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

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 Hoop stress given increase in inner radius of outer cylinder

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

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

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

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How to Evaluate Radial pressure given increase in inner radius of outer cylinder?

Radial pressure given increase in inner radius of outer cylinder evaluator uses Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell to evaluate the Radial Pressure, The Radial pressure given increase in inner radius of outer cylinder formula is defined as stress towards or away from the central axis of a component. Radial Pressure is denoted by P_v symbol.

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

FAQs on Radial pressure given increase in inner radius of outer cylinder

What is the formula to find Radial pressure given increase in inner radius of outer cylinder?

The formula of Radial pressure given increase in inner radius of outer cylinder is expressed as Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell. Here is an example- 7.9E-8 = ((0.0065/(4/2600000))-2000)*35.45.

How to calculate Radial pressure given increase in inner radius of outer cylinder?

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

What are the other ways to Calculate Radial Pressure?

Here are the different ways to Calculate Radial Pressure-

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

Can the Radial pressure given increase in inner radius of outer cylinder be negative?

Yes, the Radial pressure given increase in inner radius of outer cylinder, measured in Radial Pressure can be negative.

Which unit is used to measure Radial pressure given increase in inner radius of outer cylinder?

Radial pressure given increase in inner radius of outer cylinder is usually measured using the Megapascal per Square Meter[MPa/m²] for Radial Pressure. Pascal per Square Meter[MPa/m²], Millipascal per Square Meter[MPa/m²], Bar per Square Meter[MPa/m²] are the few other units in which Radial pressure given increase in inner radius of outer cylinder can be measured.

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