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Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Formula

GoConstant 'b' for inner cylinder given radial pressure at radius x Formula

GoConstant 'b' for inner cylinder given hoop stress at radius x Formula

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

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

b₂ - Constant 'b' for inner cylinder?P_v - Radial Pressure?a₂ - Constant 'a' for inner cylinder?r_* - Radius at Junction?

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Example

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

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

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

224048 = (0.014 + 3) \cdot (4000^{2})

224048 = (0.014MPa/m² + 3) \cdot ({4000mm}^{2})

224048 = (0.014 + 3) \cdot (4000^{2})

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Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b 2 = (0.014MPa/m² + 3) \cdot ({4000mm}^{2})

Next Step Convert Units

∴

b 2 = (14000Pa/m² + 3) \cdot ({4m}^{2})

Next Step Prepare to Evaluate

∴

b 2 = (14000 + 3) \cdot (4^{2})

LAST Step Evaluate

∴

b 2 = 224048

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Formula Elements

Variables

Constant 'b' for inner cylinder

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

Symbol: b₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'b' for inner cylinder

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 'a' for inner cylinder

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

Symbol: a₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'a' for inner 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

Other Formulas to find Constant 'b' for inner cylinder

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

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

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

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

Go Constant 'b' for inner cylinder given outer radius of cylinder

b 2 = a 2 \cdot ({r 2}^{2})

Other formulas in Stress Constants in Compound Thick Cylinder category

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

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

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

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

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders evaluator uses Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2) to evaluate the Constant 'b' for inner cylinder, The Constant 'b' for inner cylinder given radial pressure at junction of two cylinders formula is defined as the constant used in lame's equation for inner surface of compound cylinder. Constant 'b' for inner cylinder is denoted by b₂ symbol.

How to evaluate Constant 'b' for inner cylinder given radial pressure at junction of two cylinders using this online evaluator? To use this online evaluator for Constant 'b' for inner cylinder given radial pressure at junction of two cylinders, enter Radial Pressure (P_v), Constant 'a' for inner cylinder (a₂) & Radius at Junction (r_*) and hit the calculate button.

FAQs on Constant 'b' for inner cylinder given radial pressure at junction of two cylinders

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

The formula of Constant 'b' for inner cylinder given radial pressure at junction of two cylinders is expressed as Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2). Here is an example- 224048 = (14000+3)*(4^2).

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

With Radial Pressure (P_v), Constant 'a' for inner cylinder (a₂) & Radius at Junction (r_*) we can find Constant 'b' for inner cylinder given radial pressure at junction of two cylinders using the formula - Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2).

What are the other ways to Calculate Constant 'b' for inner cylinder?

Here are the different ways to Calculate Constant 'b' for inner cylinder-

Constant 'b' for inner cylinder=(Radial Pressure+Constant 'a' for inner cylinder)*(Radius Of Cylindrical Shell^2)
Constant 'b' for inner cylinder=(Hoop Stress on thick shell-Constant 'a' for inner cylinder)*(Radius Of Cylindrical Shell^2)
Constant 'b' for inner cylinder=Constant 'a' for inner cylinder*(Outer Radius of Cylinder^2)

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Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Formula

​GoConstant 'b' for inner cylinder given radial pressure at radius x Formula

​GoConstant 'b' for inner cylinder given hoop stress at radius x Formula

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Example

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Solution

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Formula Elements

Other Formulas to find Constant 'b' for inner cylinder

Other formulas in Stress Constants in Compound Thick Cylinder category

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

FAQs on Constant 'b' for inner cylinder given radial pressure at junction of two cylinders

Variable Name

GoConstant 'b' for inner cylinder given radial pressure at radius x Formula

GoConstant 'b' for inner cylinder given hoop stress at radius x Formula