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Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Formula

GoConstant 'a' for outer cylinder given radial pressure at radius x Formula

GoConstant 'a' for outer cylinder given hoop stress at radius x Formula

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

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

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

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Example

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Here is how the Constant 'a' for outer cylinder given radial pressure at junction of two cylinders equation looks like with Values.

Here is how the Constant 'a' for outer cylinder given radial pressure at junction of two cylinders equation looks like with Units.

Here is how the Constant 'a' for outer cylinder given radial pressure at junction of two cylinders equation looks like.

-13998.4375 = (\frac{25}{4000^{2}}) - 0.014

-13998.4375 = (\frac{25}{{4000mm}^{2}}) - 0.014MPa/m²

-13998.4375 = (\frac{25}{4000^{2}}) - 0.014

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Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Solution

Follow our step by step solution on how to calculate Constant 'a' for outer cylinder given radial pressure at junction of two cylinders?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a 1 = (\frac{25}{{4000mm}^{2}}) - 0.014MPa/m²

Next Step Convert Units

∴

a 1 = (\frac{25}{{4m}^{2}}) - 14000Pa/m²

Next Step Prepare to Evaluate

∴

a 1 = (\frac{25}{4^{2}}) - 14000

LAST Step Evaluate

∴

a 1 = -13998.4375

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Formula Elements

Variables

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

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

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

Other Formulas to find Constant 'a' for outer cylinder

Go Constant 'a' for outer cylinder given radial pressure at radius x

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

Go Constant 'a' for outer cylinder given hoop stress at radius x

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

Go Constant 'a' for outer cylinder given hoop stress at radius x and constant b

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

Go Constant 'a' for outer cylinder given outer radius of cylinder

a 1 = \frac{b 1}{{r 2}^{2}}

Other formulas in Stress Constants in Compound Thick Cylinder category

Go Constant 'b' for outer cylinder given radial pressure at radius x

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

Go Constant 'b' for outer cylinder given hoop stress at radius x

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

Go Constant 'b' for outer cylinder given radial pressure at junction of two cylinders

b 1 = (P v + a 1) \cdot ({r *}^{2})

Go Constant 'a' for inner cylinder given radial pressure at radius x

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

How to Evaluate Constant 'a' for outer cylinder given radial pressure at junction of two cylinders?

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders evaluator uses Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure to evaluate the Constant 'a' for outer cylinder, The Constant 'a' for outer cylinder given radial pressure at junction of two cylinders formula is defined as the constant used in lame's equation for the thick compound cylinder. Constant 'a' for outer cylinder is denoted by a₁ symbol.

How to evaluate Constant 'a' for outer cylinder given radial pressure at junction of two cylinders using this online evaluator? To use this online evaluator for Constant 'a' for outer cylinder given radial pressure at junction of two cylinders, enter Constant 'b' for outer cylinder (b₁), Radius at Junction (r_*) & Radial Pressure (P_v) and hit the calculate button.

FAQs on Constant 'a' for outer cylinder given radial pressure at junction of two cylinders

What is the formula to find Constant 'a' for outer cylinder given radial pressure at junction of two cylinders?

The formula of Constant 'a' for outer cylinder given radial pressure at junction of two cylinders is expressed as Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure. Here is an example- -13998.4375 = (25/(4^2))-14000.

How to calculate Constant 'a' for outer cylinder given radial pressure at junction of two cylinders?

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

What are the other ways to Calculate Constant 'a' for outer cylinder?

Here are the different ways to Calculate Constant 'a' for outer cylinder-

Constant 'a' for outer cylinder=(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure
Constant 'a' for outer cylinder=-(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell
Constant 'a' for outer cylinder=-(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell

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Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Formula

​GoConstant 'a' for outer cylinder given radial pressure at radius x Formula

​GoConstant 'a' for outer cylinder given hoop stress at radius x Formula

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Example

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Solution

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Formula Elements

Other Formulas to find Constant 'a' for outer cylinder

Other formulas in Stress Constants in Compound Thick Cylinder category

How to Evaluate Constant 'a' for outer cylinder given radial pressure at junction of two cylinders?

FAQs on Constant 'a' for outer cylinder given radial pressure at junction of two cylinders

Variable Name

GoConstant 'a' for outer cylinder given radial pressure at radius x Formula

GoConstant 'a' for outer cylinder given hoop stress at radius x Formula