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Modulus of elasticity given decrease in outer radius of inner cylinder and constants 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 = - 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)))

E - Modulus of Elasticity Of Thick Shell?r_* - Radius at Junction?R_d - Decrease in radius?b₂ - Constant 'b' for inner cylinder?a₂ - Constant 'a' for inner cylinder?M - Mass Of Shell?

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

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Here is how the Modulus of elasticity given decrease in outer radius of inner cylinder and constants equation looks like with Values.

Here is how the Modulus of elasticity given decrease in outer radius of inner cylinder and constants equation looks like with Units.

Here is how the Modulus of elasticity given decrease in outer radius of inner cylinder and constants equation looks like.

0.0289 = - 4000 \cdot (((\frac{1}{8}) \cdot ((\frac{5}{4000}) + 3)) + ((\frac{1}{8} \cdot 35.45) \cdot ((\frac{5}{4000}) - 3)))

0.0289MPa = - 4000mm \cdot (((\frac{1}{8mm}) \cdot ((\frac{5}{4000mm}) + 3)) + ((\frac{1}{8mm} \cdot 35.45kg) \cdot ((\frac{5}{4000mm}) - 3)))

0.0289 = - 4000 \cdot (((\frac{1}{8}) \cdot ((\frac{5}{4000}) + 3)) + ((\frac{1}{8} \cdot 35.45) \cdot ((\frac{5}{4000}) - 3)))

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

Follow our step by step solution on how to calculate Modulus of elasticity given decrease in outer radius of inner cylinder and constants?

FIRST Step Consider the formula

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)))

Next Step Substitute values of Variables

∴

E = - 4000mm \cdot (((\frac{1}{8mm}) \cdot ((\frac{5}{4000mm}) + 3)) + ((\frac{1}{8mm} \cdot 35.45kg) \cdot ((\frac{5}{4000mm}) - 3)))

Next Step Convert Units

∴

E = - 4m \cdot (((\frac{1}{0.008m}) \cdot ((\frac{5}{4m}) + 3)) + ((\frac{1}{0.008m} \cdot 35.45kg) \cdot ((\frac{5}{4m}) - 3)))

Next Step Prepare to Evaluate

∴

E = - 4 \cdot (((\frac{1}{0.008}) \cdot ((\frac{5}{4}) + 3)) + ((\frac{1}{0.008} \cdot 35.45) \cdot ((\frac{5}{4}) - 3)))

Next Step Evaluate

∴

E = 28893.75Pa

Next Step Convert to Output's Unit

∴

E = 0.02889375MPa

LAST Step Rounding Answer

∴

E = 0.0289MPa

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

Decrease in radius

Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder.

Symbol: R_d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Decrease in radius

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

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

Mass Of Shell

Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass Of Shell

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 original difference of radii at junction

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

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)))

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 decrease in outer radius of inner cylinder and constants?

Modulus of elasticity given decrease in outer radius of inner cylinder and constants evaluator uses Modulus of Elasticity Of Thick Shell = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))) to evaluate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given decrease in outer radius of inner cylinder and constants 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 decrease in outer radius of inner cylinder and constants using this online evaluator? To use this online evaluator for Modulus of elasticity given decrease in outer radius of inner cylinder and constants, enter Radius at Junction (r_*), Decrease in radius (R_d), Constant 'b' for inner cylinder (b₂), Constant 'a' for inner cylinder (a₂) & Mass Of Shell (M) and hit the calculate button.

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

What is the formula to find Modulus of elasticity given decrease in outer radius of inner cylinder and constants?

The formula of Modulus of elasticity given decrease in outer radius of inner cylinder and constants is expressed as Modulus of Elasticity Of Thick Shell = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))). Here is an example- 2.9E-8 = -4*(((1/0.008)*((5/4)+3))+((1/0.008*35.45)*((5/4)-3))).

How to calculate Modulus of elasticity given decrease in outer radius of inner cylinder and constants?

With Radius at Junction (r_*), Decrease in radius (R_d), Constant 'b' for inner cylinder (b₂), Constant 'a' for inner cylinder (a₂) & Mass Of Shell (M) we can find Modulus of elasticity given decrease in outer radius of inner cylinder and constants using the formula - Modulus of Elasticity Of Thick Shell = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))).

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=2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii

Can the Modulus of elasticity given decrease in outer radius of inner cylinder and constants be negative?

No, the Modulus of elasticity given decrease in outer radius of inner cylinder and constants, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of elasticity given decrease in outer radius of inner cylinder and constants?

Modulus of elasticity given decrease in outer radius of inner cylinder and constants 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 decrease in outer radius of inner cylinder and constants can be measured.

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

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

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

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

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