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

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

GoConstant 'b' for outer cylinder given radial pressure at junction of two cylinders Formula

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

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

b₁ - Constant 'b' for outer cylinder?σ_θ - Hoop Stress on thick shell?a₁ - Constant 'a' for outer cylinder?r_{cylindrical shell} - Radius Of Cylindrical Shell?

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

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Here is how the Constant 'b' for outer cylinder given hoop stress at radius x equation looks like with Values.

Here is how the Constant 'b' for outer cylinder given hoop stress at radius x equation looks like with Units.

Here is how the Constant 'b' for outer cylinder given hoop stress at radius x equation looks like.

127744 = (0.002 - 4) \cdot (8000^{2})

127744 = (0.002MPa - 4) \cdot ({8000mm}^{2})

127744 = (0.002 - 4) \cdot (8000^{2})

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

Follow our step by step solution on how to calculate Constant 'b' for outer cylinder given hoop stress at radius x?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

b 1 = (0.002MPa - 4) \cdot ({8000mm}^{2})

Next Step Convert Units

∴

b 1 = (2000Pa - 4) \cdot ({8m}^{2})

Next Step Prepare to Evaluate

∴

b 1 = (2000 - 4) \cdot (8^{2})

LAST Step Evaluate

∴

b 1 = 127744

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

Variables

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

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

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

Radius Of Cylindrical Shell

Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.

Symbol: r_{cylindrical shell}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius Of Cylindrical Shell

Other Formulas to find Constant 'b' for outer cylinder

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 radial pressure at junction of two cylinders

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

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

b 1 = (a 1 \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 '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 radial pressure at junction of two cylinders

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

How to Evaluate Constant 'b' for outer cylinder given hoop stress at radius x?

Constant 'b' for outer cylinder given hoop stress at radius x evaluator uses Constant 'b' for outer cylinder = (Hoop Stress on thick shell-Constant 'a' for outer cylinder)*(Radius Of Cylindrical Shell^2) to evaluate the Constant 'b' for outer cylinder, The Constant 'b' for outer cylinder given hoop stress at radius x formula is defined as the constant used in lame's equation for the thick compound cylinder. Constant 'b' for outer cylinder is denoted by b₁ symbol.

How to evaluate Constant 'b' for outer cylinder given hoop stress at radius x using this online evaluator? To use this online evaluator for Constant 'b' for outer cylinder given hoop stress at radius x, enter Hoop Stress on thick shell (σ_θ), Constant 'a' for outer cylinder (a₁) & Radius Of Cylindrical Shell (r_{cylindrical shell}) and hit the calculate button.

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

What is the formula to find Constant 'b' for outer cylinder given hoop stress at radius x?

The formula of Constant 'b' for outer cylinder given hoop stress at radius x is expressed as Constant 'b' for outer cylinder = (Hoop Stress on thick shell-Constant 'a' for outer cylinder)*(Radius Of Cylindrical Shell^2). Here is an example- 127744 = (2000-4)*(8^2).

How to calculate Constant 'b' for outer cylinder given hoop stress at radius x?

With Hoop Stress on thick shell (σ_θ), Constant 'a' for outer cylinder (a₁) & Radius Of Cylindrical Shell (r_{cylindrical shell}) we can find Constant 'b' for outer cylinder given hoop stress at radius x using the formula - Constant 'b' for outer cylinder = (Hoop Stress on thick shell-Constant 'a' for outer cylinder)*(Radius Of Cylindrical Shell^2).

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

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

Constant 'b' for outer cylinder=(Radial Pressure+Constant 'a' for outer cylinder)*(Radius Of Cylindrical Shell^2)
Constant 'b' for outer cylinder=(Radial Pressure+Constant 'a' for outer cylinder)*(Radius at Junction^2)
Constant 'b' for outer cylinder=(Constant 'a' for outer cylinder*(Outer Radius of Cylinder^2))

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