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Constant 'a' for outer cylinder given hoop stress at radius x and constant b 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 cylindrical shell}^{2}}) + σ θ

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

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

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

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

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

1999.6094 = - (\frac{25}{8000^{2}}) + 0.002

1999.6094 = - (\frac{25}{{8000mm}^{2}}) + 0.002MPa

1999.6094 = - (\frac{25}{8000^{2}}) + 0.002

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Strength of Materials » fx Constant 'a' for outer cylinder given hoop stress at radius x and constant b

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a 1 = - (\frac{25}{{8000mm}^{2}}) + 0.002MPa

Next Step Convert Units

∴

a 1 = - (\frac{25}{{8m}^{2}}) + 2000Pa

Next Step Prepare to Evaluate

∴

a 1 = - (\frac{25}{8^{2}}) + 2000

Next Step Evaluate

∴

a 1 = 1999.609375

LAST Step Rounding Answer

∴

a 1 = 1999.6094

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

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

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 radial pressure at junction of two cylinders

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

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 hoop stress at radius x and constant b?

Constant 'a' for outer cylinder given hoop stress at radius x and constant b evaluator uses Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell to evaluate the Constant 'a' for outer cylinder, The Constant 'a' for outer cylinder given hoop stress at radius x and constant b 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 hoop stress at radius x and constant b using this online evaluator? To use this online evaluator for Constant 'a' for outer cylinder given hoop stress at radius x and constant b, enter Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Hoop Stress on thick shell (σ_θ) and hit the calculate button.

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

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

The formula of Constant 'a' for outer cylinder given hoop stress at radius x and constant b is expressed as Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell. Here is an example- 1999.609 = -(25/(8^2))+2000.

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

With Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Hoop Stress on thick shell (σ_θ) we can find Constant 'a' for outer cylinder given hoop stress at radius x and constant b using the formula - Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell.

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 at Junction^2))-Radial Pressure

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