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Constant 'a' for inner cylinder given hoop stress at radius x Formula

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

GoConstant for inner cylinder given outer radius of cylinder Formula

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

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

a₂ - Constant 'a' for inner cylinder?b₂ - Constant 'b' for inner cylinder?r_{cylindrical shell} - Radius Of Cylindrical Shell?σ_θ - Hoop Stress on thick shell?

Constant 'a' for inner cylinder given hoop stress at radius x Example

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

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

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

1999.9219 = - (\frac{5}{8000^{2}}) + 0.002

1999.9219 = - (\frac{5}{{8000mm}^{2}}) + 0.002MPa

1999.9219 = - (\frac{5}{8000^{2}}) + 0.002

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Strength of Materials » fx Constant 'a' for inner cylinder given hoop stress at radius x

Constant 'a' for inner cylinder given hoop stress at radius x Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a 2 = - (\frac{5}{{8000mm}^{2}}) + 0.002MPa

Next Step Convert Units

∴

a 2 = - (\frac{5}{{8m}^{2}}) + 2000Pa

Next Step Prepare to Evaluate

∴

a 2 = - (\frac{5}{8^{2}}) + 2000

Next Step Evaluate

∴

a 2 = 1999.921875

LAST Step Rounding Answer

∴

a 2 = 1999.9219

Constant 'a' for inner cylinder given hoop stress at radius x Formula Elements

Variables

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

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

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 inner cylinder

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

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

Go Constant for inner cylinder given outer radius of cylinder

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

Go Constant 'a' for inner cylinder given radial pressure at junction of two cylinders

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

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 'a' for inner cylinder given hoop stress at radius x?

Constant 'a' for inner cylinder given hoop stress at radius x evaluator uses Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell to evaluate the Constant 'a' for inner cylinder, The Constant 'a' for inner cylinder given hoop stress at radius x formula is defined as the constant used in lame's equation for the thick compound cylinder. Constant 'a' for inner cylinder is denoted by a₂ symbol.

How to evaluate Constant 'a' for inner cylinder given hoop stress at radius x using this online evaluator? To use this online evaluator for Constant 'a' for inner cylinder given hoop stress at radius x, enter Constant 'b' for inner cylinder (b₂), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Hoop Stress on thick shell (σ_θ) and hit the calculate button.

FAQs on Constant 'a' for inner cylinder given hoop stress at radius x

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

The formula of Constant 'a' for inner cylinder given hoop stress at radius x is expressed as Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell. Here is an example- 1999.922 = -(5/(8^2))+2000.

How to calculate Constant 'a' for inner cylinder given hoop stress at radius x?

With Constant 'b' for inner cylinder (b₂), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Hoop Stress on thick shell (σ_θ) we can find Constant 'a' for inner cylinder given hoop stress at radius x using the formula - Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell.

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

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

Constant 'a' for inner cylinder=(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure
Constant 'a' for inner cylinder=Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2)
Constant 'a' for inner cylinder=(Constant 'b' for inner cylinder/(Radius at Junction^2))-Radial Pressure

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