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Modulus of elasticity given original difference of radii at junction Formula

GoModulus of elasticity given increase in inner radius of outer cylinder Formula

GoModulus of elasticity decrease in outer radius of inner cylinder Formula

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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. Check FAQs

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

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

Modulus of elasticity given original difference of radii at junction Example

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Here is how the Modulus of elasticity given original difference of radii at junction equation looks like with Values.

Here is how the Modulus of elasticity given original difference of radii at junction equation looks like with Units.

Here is how the Modulus of elasticity given original difference of radii at junction equation looks like.

0.4 = 2 \cdot 4000 \cdot \frac{4 - 3}{0.02}

0.4MPa = 2 \cdot 4000mm \cdot \frac{4 - 3}{0.02mm}

0.4 = 2 \cdot 4000 \cdot \frac{4 - 3}{0.02}

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Modulus of elasticity given original difference of radii at junction Solution

Follow our step by step solution on how to calculate Modulus of elasticity given original difference of radii at junction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = 2 \cdot 4000mm \cdot \frac{4 - 3}{0.02mm}

Next Step Convert Units

∴

E = 2 \cdot 4m \cdot \frac{4 - 3}{2E-5m}

Next Step Prepare to Evaluate

∴

E = 2 \cdot 4 \cdot \frac{4 - 3}{2E-5}

Next Step Evaluate

∴

E = 400000Pa

LAST Step Convert to Output's Unit

∴

E = 0.4MPa

Modulus of elasticity given original difference of radii at junction Formula Elements

Variables

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

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

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

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

Other Formulas to find Modulus of Elasticity Of Thick Shell

Go Modulus of elasticity given increase in inner radius of outer cylinder

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

Go Modulus of elasticity decrease in outer radius of inner cylinder

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

Go Modulus of elasticity given increase in inner radius of outer cylinder and constants

E = r * \cdot (((\frac{1}{R i}) \cdot ((\frac{b 1}{r *}) + a 1)) + ((\frac{1}{R i} \cdot M) \cdot ((\frac{b 1}{r *}) - a 1)))

Go Modulus of elasticity given decrease in outer radius of inner cylinder and constants

E = - r * \cdot (((\frac{1}{R d}) \cdot ((\frac{b 2}{r *}) + a 2)) + ((\frac{1}{R d} \cdot M) \cdot ((\frac{b 2}{r *}) - a 2)))

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 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 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})

How to Evaluate Modulus of elasticity given original difference of radii at junction?

Modulus of elasticity given original difference of radii at junction evaluator uses Modulus of Elasticity Of Thick Shell = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii to evaluate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given original difference of radii at junction formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Of Thick Shell is denoted by E symbol.

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

FAQs on Modulus of elasticity given original difference of radii at junction

What is the formula to find Modulus of elasticity given original difference of radii at junction?

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

How to calculate Modulus of elasticity given original difference of radii at junction?

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

What are the other ways to Calculate Modulus of Elasticity Of Thick Shell?

Here are the different ways to Calculate Modulus of Elasticity Of Thick Shell-

Modulus of Elasticity Of Thick Shell=(Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Modulus of Elasticity Of Thick Shell=(Radius at Junction/Decrease in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Modulus of Elasticity Of Thick Shell=Radius at Junction*(((1/Increase in radius)*((Constant 'b' for outer cylinder/Radius at Junction)+Constant 'a' for outer cylinder))+((1/Increase in radius*Mass Of Shell)*((Constant 'b' for outer cylinder/Radius at Junction)-Constant 'a' for outer cylinder)))

Can the Modulus of elasticity given original difference of radii at junction be negative?

No, the Modulus of elasticity given original difference of radii at junction, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given original difference of radii at junction?

Modulus of elasticity given original difference of radii at junction is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Modulus of elasticity given original difference of radii at junction can be measured.

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Modulus of elasticity given original difference of radii at junction Formula

​GoModulus of elasticity given increase in inner radius of outer cylinder Formula

​GoModulus of elasticity decrease in outer radius of inner cylinder Formula

Modulus of elasticity given original difference of radii at junction Example

Modulus of elasticity given original difference of radii at junction Solution

Modulus of elasticity given original difference of radii at junction Formula Elements

Other Formulas to find Modulus of Elasticity Of Thick Shell

Other formulas in Compound Cylinder Shrinkage Radii Change category

How to Evaluate Modulus of elasticity given original difference of radii at junction?

FAQs on Modulus of elasticity given original difference of radii at junction

Variable Name

GoModulus of elasticity given increase in inner radius of outer cylinder Formula

GoModulus of elasticity decrease in outer radius of inner cylinder Formula