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Constant 'b' for inner cylinder given outer radius of cylinder 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 = a 2 \cdot ({r 2}^{2})

b₂ - Constant 'b' for inner cylinder?a₂ - Constant 'a' for inner cylinder?r₂ - Outer Radius of Cylinder?

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

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Here is how the Constant 'b' for inner cylinder given outer radius of cylinder equation looks like with Values.

Here is how the Constant 'b' for inner cylinder given outer radius of cylinder equation looks like with Units.

Here is how the Constant 'b' for inner cylinder given outer radius of cylinder equation looks like.

168.75 = 3 \cdot ({7.5}^{2})

168.75 = 3 \cdot ({7.5m}^{2})

168.75 = 3 \cdot ({7.5}^{2})

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

Follow our step by step solution on how to calculate Constant 'b' for inner cylinder given outer radius of cylinder?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b 2 = 3 \cdot ({7.5m}^{2})

Next Step Prepare to Evaluate

∴

b 2 = 3 \cdot ({7.5}^{2})

LAST Step Evaluate

∴

b 2 = 168.75

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

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

Outer Radius of Cylinder

The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.

Symbol: r₂

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Radius of Cylinder

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 radial pressure at junction of two cylinders

b 2 = (P v + a 2) \cdot ({r *}^{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 outer radius of cylinder?

Constant 'b' for inner cylinder given outer radius of cylinder evaluator uses Constant 'b' for inner cylinder = Constant 'a' for inner cylinder*(Outer Radius of Cylinder^2) to evaluate the Constant 'b' for inner cylinder, The Constant 'b' for inner cylinder given outer radius of cylinder 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 outer radius of cylinder using this online evaluator? To use this online evaluator for Constant 'b' for inner cylinder given outer radius of cylinder, enter Constant 'a' for inner cylinder (a₂) & Outer Radius of Cylinder (r₂) and hit the calculate button.

FAQs on Constant 'b' for inner cylinder given outer radius of cylinder

What is the formula to find Constant 'b' for inner cylinder given outer radius of cylinder?

The formula of Constant 'b' for inner cylinder given outer radius of cylinder is expressed as Constant 'b' for inner cylinder = Constant 'a' for inner cylinder*(Outer Radius of Cylinder^2). Here is an example- 168.75 = 3*(7.5^2).

How to calculate Constant 'b' for inner cylinder given outer radius of cylinder?

With Constant 'a' for inner cylinder (a₂) & Outer Radius of Cylinder (r₂) we can find Constant 'b' for inner cylinder given outer radius of cylinder using the formula - Constant 'b' for inner cylinder = Constant 'a' for inner cylinder*(Outer Radius of Cylinder^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=(Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2)

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