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Constant 'a' for outer cylinder given radial pressure at radius x Formula

GoConstant 'a' for outer cylinder given hoop stress at radius x Formula

GoConstant 'a' for outer cylinder given hoop stress at radius x and constant b 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}}) - P v

a₁ - Constant 'a' for outer cylinder?b₁ - Constant 'b' for outer cylinder?r_{cylindrical shell} - Radius Of Cylindrical Shell?P_v - Radial Pressure?

Constant 'a' for outer cylinder given radial pressure at radius x Example

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Here is how the Constant 'a' for outer cylinder given radial pressure at radius x equation looks like with Values.

Here is how the Constant 'a' for outer cylinder given radial pressure at radius x equation looks like with Units.

Here is how the Constant 'a' for outer cylinder given radial pressure at radius x equation looks like.

-13999.6094 = (\frac{25}{8000^{2}}) - 0.014

-13999.6094 = (\frac{25}{{8000mm}^{2}}) - 0.014MPa/m²

-13999.6094 = (\frac{25}{8000^{2}}) - 0.014

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Constant 'a' for outer cylinder given radial pressure at radius x Solution

Follow our step by step solution on how to calculate Constant 'a' for outer cylinder given radial pressure at radius x?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

a 1 = (\frac{25}{{8000mm}^{2}}) - 0.014MPa/m²

Next Step Convert Units

∴

a 1 = (\frac{25}{{8m}^{2}}) - 14000Pa/m²

Next Step Prepare to Evaluate

∴

a 1 = (\frac{25}{8^{2}}) - 14000

Next Step Evaluate

∴

a 1 = -13999.609375

LAST Step Rounding Answer

∴

a 1 = -13999.6094

Constant 'a' for outer cylinder given radial pressure at radius x 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

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

Other Formulas to find Constant 'a' for outer cylinder

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

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 radial pressure at radius x?

Constant 'a' for outer cylinder given radial pressure at radius x evaluator uses Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure to evaluate the Constant 'a' for outer cylinder, The Constant 'a' for outer cylinder given radial pressure at radius x formula is defined as the constant used in lame's equation for thick compound cylinder. Constant 'a' for outer cylinder is denoted by a₁ symbol.

How to evaluate Constant 'a' for outer cylinder given radial pressure at radius x using this online evaluator? To use this online evaluator for Constant 'a' for outer cylinder given radial pressure at radius x, enter Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Radial Pressure (P_v) and hit the calculate button.

FAQs on Constant 'a' for outer cylinder given radial pressure at radius x

What is the formula to find Constant 'a' for outer cylinder given radial pressure at radius x?

The formula of Constant 'a' for outer cylinder given radial pressure at radius x is expressed as Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure. Here is an example- -13999.609375 = (25/(8^2))-14000.

How to calculate Constant 'a' for outer cylinder given radial pressure at radius x?

With Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Radial Pressure (P_v) we can find Constant 'a' for outer cylinder given radial pressure at radius x using the formula - Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure.

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))+Hoop Stress on thick shell
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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Constant 'a' for outer cylinder given radial pressure at radius x Formula

​GoConstant 'a' for outer cylinder given hoop stress at radius x Formula

​GoConstant 'a' for outer cylinder given hoop stress at radius x and constant b Formula

Constant 'a' for outer cylinder given radial pressure at radius x Example

Constant 'a' for outer cylinder given radial pressure at radius x Solution

Constant 'a' for outer cylinder given radial pressure at radius x Formula Elements

Other Formulas to find Constant 'a' for outer cylinder

Other formulas in Stress Constants in Compound Thick Cylinder category

How to Evaluate Constant 'a' for outer cylinder given radial pressure at radius x?

FAQs on Constant 'a' for outer cylinder given radial pressure at radius x

Variable Name

GoConstant 'a' for outer cylinder given hoop stress at radius x Formula

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