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Constant 'a' for outer cylinder given outer radius of cylinder 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 2}^{2}}

a₁ - Constant 'a' for outer cylinder?b₁ - Constant 'b' for outer cylinder?r₂ - Outer Radius of Cylinder?

Constant 'a' for outer cylinder given outer radius of cylinder Example

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

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

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

0.4444 = \frac{25}{{7.5}^{2}}

0.4444 = \frac{25}{{7.5m}^{2}}

0.4444 = \frac{25}{{7.5}^{2}}

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Constant 'a' for outer cylinder given outer radius of cylinder Solution

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

FIRST Step Consider the formula

a 1 = \frac{b 1}{{r 2}^{2}}

Next Step Substitute values of Variables

∴

a 1 = \frac{25}{{7.5m}^{2}}

Next Step Prepare to Evaluate

∴

a 1 = \frac{25}{{7.5}^{2}}

Next Step Evaluate

∴

a 1 = 0.444444444444444

LAST Step Rounding Answer

∴

a 1 = 0.4444

Constant 'a' for outer cylinder given outer radius of cylinder 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

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 '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 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

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 outer radius of cylinder?

Constant 'a' for outer cylinder given outer radius of cylinder evaluator uses Constant 'a' for outer cylinder = Constant 'b' for outer cylinder/(Outer Radius of Cylinder^2) to evaluate the Constant 'a' for outer cylinder, The Constant 'a' for outer cylinder given outer radius of cylinder formula is defined as the constant used in lame's equation for the inner surface of the compound cylinder. Constant 'a' for outer cylinder is denoted by a₁ symbol.

How to evaluate Constant 'a' for outer cylinder given outer radius of cylinder using this online evaluator? To use this online evaluator for Constant 'a' for outer cylinder given outer radius of cylinder, enter Constant 'b' for outer cylinder (b₁) & Outer Radius of Cylinder (r₂) and hit the calculate button.

FAQs on Constant 'a' for outer cylinder given outer radius of cylinder

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

The formula of Constant 'a' for outer cylinder given outer radius of cylinder is expressed as Constant 'a' for outer cylinder = Constant 'b' for outer cylinder/(Outer Radius of Cylinder^2). Here is an example- 0.444444 = 25/(7.5^2).

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

With Constant 'b' for outer cylinder (b₁) & Outer Radius of Cylinder (r₂) we can find Constant 'a' for outer cylinder given outer radius of cylinder using the formula - Constant 'a' for outer cylinder = Constant 'b' for outer cylinder/(Outer Radius of Cylinder^2).

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 Of Cylindrical Shell^2))+Hoop Stress on thick shell

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