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Radius at junction of compound cylinder given original difference of radii at junction Formula

GoRadius at junction of compound cylinder given increase in inner radius of outer cylinder Formula

GoRadius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula

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The Radius at Junction is the radius value at the junction of compound cylinders. Check FAQs

r * = \frac{Δr original}{2 \cdot \frac{a 1 - a 2}{E}}

r_* - Radius at Junction?Δr_original - Original difference of radii?a₁ - Constant 'a' for outer cylinder?a₂ - Constant 'a' for inner cylinder?E - Modulus of Elasticity Of Thick Shell?

Radius at junction of compound cylinder given original difference of radii at junction Example

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Here is how the Radius at junction of compound cylinder given original difference of radii at junction equation looks like with Values.

Here is how the Radius at junction of compound cylinder given original difference of radii at junction equation looks like with Units.

Here is how the Radius at junction of compound cylinder given original difference of radii at junction equation looks like.

26000 = \frac{0.02}{2 \cdot \frac{4 - 3}{2.6}}

26000mm = \frac{0.02mm}{2 \cdot \frac{4 - 3}{2.6MPa}}

26000 = \frac{0.02}{2 \cdot \frac{4 - 3}{2.6}}

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Radius at junction of compound cylinder given original difference of radii at junction Solution

Follow our step by step solution on how to calculate Radius at junction of compound cylinder given original difference of radii at junction?

FIRST Step Consider the formula

r * = \frac{Δr original}{2 \cdot \frac{a 1 - a 2}{E}}

Next Step Substitute values of Variables

∴

r * = \frac{0.02mm}{2 \cdot \frac{4 - 3}{2.6MPa}}

Next Step Convert Units

∴

r * = \frac{2E-5m}{2 \cdot \frac{4 - 3}{2.6E+6Pa}}

Next Step Prepare to Evaluate

∴

r * = \frac{2E-5}{2 \cdot \frac{4 - 3}{2.6E+6}}

Next Step Evaluate

∴

r * = 26m

LAST Step Convert to Output's Unit

∴

r * = 26000mm

Radius at junction of compound cylinder given original difference of radii at junction Formula Elements

Variables

Radius at Junction

The Radius at Junction is the radius value at the junction of compound cylinders.

Symbol: r_*

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius at Junction

Original difference of radii

Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.

Symbol: Δr_original

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Original difference of radii

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 '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

Modulus of Elasticity Of Thick Shell

Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.

Symbol: E

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Modulus of Elasticity Of Thick Shell

Other Formulas to find Radius at Junction

Go Radius at junction of compound cylinder given increase in inner radius of outer cylinder

r * = \frac{R i \cdot E}{σ θ + (\frac{P v}{M})}

Go Radius at junction of compound cylinder given decrease in outer radius of inner cylinder

r * = \frac{R d \cdot E}{σ θ + (\frac{P v}{M})}

Other formulas in Compound Cylinder Shrinkage Radii Change category

Go Increase in inner radius of outer cylinder at junction of compound cylinder

R i = (\frac{r *}{E}) \cdot (σ θ + (\frac{P v}{M}))

Go Radial pressure given increase in inner radius of outer cylinder

P v = ((\frac{R i}{\frac{r *}{E}}) - σ θ) \cdot M

Go Hoop stress given increase in inner radius of outer cylinder

σ θ = (\frac{R i}{\frac{r *}{E}}) - (\frac{P v}{M})

Go Mass of compound cylinder given increase in inner radius of outer cylinder

M = \frac{P v}{(\frac{R i}{\frac{r *}{E}}) - σ θ}

How to Evaluate Radius at junction of compound cylinder given original difference of radii at junction?

Radius at junction of compound cylinder given original difference of radii at junction evaluator uses Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell) to evaluate the Radius at Junction, The Radius at junction of compound cylinder given original difference of radii at junction formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius at Junction is denoted by r_* symbol.

How to evaluate Radius at junction of compound cylinder given original difference of radii at junction using this online evaluator? To use this online evaluator for Radius at junction of compound cylinder given original difference of radii at junction, enter Original difference of radii (Δr_original), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Modulus of Elasticity Of Thick Shell (E) and hit the calculate button.

FAQs on Radius at junction of compound cylinder given original difference of radii at junction

What is the formula to find Radius at junction of compound cylinder given original difference of radii at junction?

The formula of Radius at junction of compound cylinder given original difference of radii at junction is expressed as Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell). Here is an example- 2.6E+7 = 2E-05/(2*(4-3)/2600000).

How to calculate Radius at junction of compound cylinder given original difference of radii at junction?

With Original difference of radii (Δr_original), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Modulus of Elasticity Of Thick Shell (E) we can find Radius at junction of compound cylinder given original difference of radii at junction using the formula - Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell).

What are the other ways to Calculate Radius at Junction?

Here are the different ways to Calculate Radius at Junction-

Radius at Junction=(Increase in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Radius at Junction=(Decrease in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))

Can the Radius at junction of compound cylinder given original difference of radii at junction be negative?

No, the Radius at junction of compound cylinder given original difference of radii at junction, measured in Length cannot be negative.

Which unit is used to measure Radius at junction of compound cylinder given original difference of radii at junction?

Radius at junction of compound cylinder given original difference of radii at junction is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius at junction of compound cylinder given original difference of radii at junction can be measured.

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Radius at junction of compound cylinder given original difference of radii at junction Formula

​GoRadius at junction of compound cylinder given increase in inner radius of outer cylinder Formula

​GoRadius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula

Radius at junction of compound cylinder given original difference of radii at junction Example

Radius at junction of compound cylinder given original difference of radii at junction Solution

Radius at junction of compound cylinder given original difference of radii at junction Formula Elements

Other Formulas to find Radius at Junction

Other formulas in Compound Cylinder Shrinkage Radii Change category

How to Evaluate Radius at junction of compound cylinder given original difference of radii at junction?

FAQs on Radius at junction of compound cylinder given original difference of radii at junction

Variable Name

GoRadius at junction of compound cylinder given increase in inner radius of outer cylinder Formula

GoRadius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula