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Radial pressure at junction given constants 'a' and 'b' for outer cylinder Formula

GoRadial pressure at radius x for outer cylinder Formula

GoRadial pressure at radius 'x' for 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{b 1}{{r *}^{2}}) - (a 1)

P_v - Radial Pressure?b₁ - Constant 'b' for outer cylinder?r_* - Radius at Junction?a₁ - Constant 'a' for outer cylinder?

Radial pressure at junction given constants 'a' and 'b' for outer cylinder Example

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Here is how the Radial pressure at junction given constants 'a' and 'b' for outer cylinder equation looks like with Values.

Here is how the Radial pressure at junction given constants 'a' and 'b' for outer cylinder equation looks like with Units.

Here is how the Radial pressure at junction given constants 'a' and 'b' for outer cylinder equation looks like.

-2.4E-6 = (\frac{25}{4000^{2}}) - (4)

-2.4E-6MPa/m² = (\frac{25}{{4000mm}^{2}}) - (4)

-2.4E-6 = (\frac{25}{4000^{2}}) - (4)

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Radial pressure at junction given constants 'a' and 'b' for outer cylinder Solution

Follow our step by step solution on how to calculate Radial pressure at junction given constants 'a' and 'b' for outer cylinder?

FIRST Step Consider the formula

P v = (\frac{b 1}{{r *}^{2}}) - (a 1)

Next Step Substitute values of Variables

∴

P v = (\frac{25}{{4000mm}^{2}}) - (4)

Next Step Convert Units

∴

P v = (\frac{25}{{4m}^{2}}) - (4)

Next Step Prepare to Evaluate

∴

P v = (\frac{25}{4^{2}}) - (4)

Next Step Evaluate

∴

P v = -2.4375Pa/m²

Next Step Convert to Output's Unit

∴

P v = -2.4375E-06MPa/m²

LAST Step Rounding Answer

∴

P v = -2.4E-6MPa/m²

Radial pressure at junction given constants 'a' and 'b' for 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

Constant 'b' for outer cylinder

Constant 'b' for outer cylinder is defined as the constant used in lame's equation.

Symbol: b₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'b' for outer cylinder

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

Constant 'a' for outer cylinder

Constant 'a' for outer cylinder is defined as the constant used in lame's equation.

Symbol: a₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'a' for outer cylinder

Other Formulas to find Radial Pressure

Go Radial pressure at radius x for outer cylinder

P v = (\frac{b 1}{{r cylindrical shell}^{2}}) - (a 1)

Go Radial pressure at radius 'x' for inner cylinder

P v = (\frac{b 2}{{r cylindrical shell}^{2}}) - (a 2)

Go Radial pressure at junction of compound cylinder given constant and b for inner cylinder

P v = (\frac{b 2}{{r *}^{2}}) - a 2

Go Radial pressure in compound cylinder due to internal fluid pressure alone

P v = (\frac{B}{{r cylindrical shell}^{2}}) - A

Other formulas in Stresses in Compound Thick Cylinders category

Go Radius value 'x' for outer cylinder given radial pressure at radius x

r cylindrical shell = \sqrt{\frac{b 1}{P v + a 1}}

Go Hoop stress at radius x for outer cylinder

σ θ = (\frac{b 1}{{r cylindrical shell}^{2}}) + (a 1)

Go Radius value 'x' for outer cylinder given hoop stress at radius x

r cylindrical shell = \sqrt{\frac{b 1}{σ θ - a 1}}

Go Radius at junction of two cylinders given radial pressure at junction of two cylinders

r * = \sqrt{\frac{b 1}{P v + a 1}}

How to Evaluate Radial pressure at junction given constants 'a' and 'b' for outer cylinder?

Radial pressure at junction given constants 'a' and 'b' for outer cylinder evaluator uses Radial Pressure = (Constant 'b' for outer cylinder/(Radius at Junction^2))-(Constant 'a' for outer cylinder) to evaluate the Radial Pressure, The Radial pressure at junction given constants 'a' and 'b' for 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 at junction given constants 'a' and 'b' for outer cylinder using this online evaluator? To use this online evaluator for Radial pressure at junction given constants 'a' and 'b' for outer cylinder, enter Constant 'b' for outer cylinder (b₁), Radius at Junction (r_*) & Constant 'a' for outer cylinder (a₁) and hit the calculate button.

FAQs on Radial pressure at junction given constants 'a' and 'b' for outer cylinder

What is the formula to find Radial pressure at junction given constants 'a' and 'b' for outer cylinder?

The formula of Radial pressure at junction given constants 'a' and 'b' for outer cylinder is expressed as Radial Pressure = (Constant 'b' for outer cylinder/(Radius at Junction^2))-(Constant 'a' for outer cylinder). Here is an example- -2.4E-12 = (25/(4^2))-(4).

How to calculate Radial pressure at junction given constants 'a' and 'b' for outer cylinder?

With Constant 'b' for outer cylinder (b₁), Radius at Junction (r_*) & Constant 'a' for outer cylinder (a₁) we can find Radial pressure at junction given constants 'a' and 'b' for outer cylinder using the formula - Radial Pressure = (Constant 'b' for outer cylinder/(Radius at Junction^2))-(Constant 'a' for outer cylinder).

What are the other ways to Calculate Radial Pressure?

Here are the different ways to Calculate Radial Pressure-

Radial Pressure=(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)
Radial Pressure=(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for inner cylinder)
Radial Pressure=(Constant 'b' for inner cylinder/(Radius at Junction^2))-Constant 'a' for inner cylinder

Can the Radial pressure at junction given constants 'a' and 'b' for outer cylinder be negative?

Yes, the Radial pressure at junction given constants 'a' and 'b' for outer cylinder, measured in Radial Pressure can be negative.

Which unit is used to measure Radial pressure at junction given constants 'a' and 'b' for outer cylinder?

Radial pressure at junction given constants 'a' and 'b' for 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 at junction given constants 'a' and 'b' for outer cylinder can be measured.

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Radial pressure at junction given constants 'a' and 'b' for outer cylinder Formula

​GoRadial pressure at radius x for outer cylinder Formula

​GoRadial pressure at radius 'x' for inner cylinder Formula

Radial pressure at junction given constants 'a' and 'b' for outer cylinder Example

Radial pressure at junction given constants 'a' and 'b' for outer cylinder Solution

Radial pressure at junction given constants 'a' and 'b' for outer cylinder Formula Elements

Other Formulas to find Radial Pressure

Other formulas in Stresses in Compound Thick Cylinders category

How to Evaluate Radial pressure at junction given constants 'a' and 'b' for outer cylinder?

FAQs on Radial pressure at junction given constants 'a' and 'b' for outer cylinder

Variable Name

GoRadial pressure at radius x for outer cylinder Formula

GoRadial pressure at radius 'x' for inner cylinder Formula