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

GoModulus of elasticity decrease in outer radius of inner cylinder Formula

GoModulus of elasticity given original difference of radii at junction 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 = (\frac{r *}{R i}) \cdot (σ θ + (\frac{P v}{M}))

E - Modulus of Elasticity Of Thick Shell?r_* - Radius at Junction?R_i - Increase in radius?σ_θ - Hoop Stress on thick shell?P_v - Radial Pressure?M - Mass Of Shell?

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

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

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

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

1.4738 = (\frac{4000}{6.5}) \cdot (0.002 + (\frac{0.014}{35.45}))

1.4738MPa = (\frac{4000mm}{6.5mm}) \cdot (0.002MPa + (\frac{0.014MPa/m²}{35.45kg}))

1.4738 = (\frac{4000}{6.5}) \cdot (0.002 + (\frac{0.014}{35.45}))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E = (\frac{4000mm}{6.5mm}) \cdot (0.002MPa + (\frac{0.014MPa/m²}{35.45kg}))

Next Step Convert Units

∴

E = (\frac{4m}{0.0065m}) \cdot (2000Pa + (\frac{14000Pa/m²}{35.45kg}))

Next Step Prepare to Evaluate

∴

E = (\frac{4}{0.0065}) \cdot (2000 + (\frac{14000}{35.45}))

Next Step Evaluate

∴

E = 1473798.41597049Pa

Next Step Convert to Output's Unit

∴

E = 1.47379841597049MPa

LAST Step Rounding Answer

∴

E = 1.4738MPa

Modulus of elasticity given increase in inner radius of outer cylinder 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

Increase in radius

Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.

Symbol: R_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Increase in radius

Hoop Stress on thick shell

Hoop Stress on thick shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Hoop Stress on thick 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

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 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)))

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 increase in inner radius of outer cylinder?

Modulus of elasticity given increase in inner radius of outer cylinder evaluator uses Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)) to evaluate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given increase in inner radius of outer cylinder 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 increase in inner radius of outer cylinder using this online evaluator? To use this online evaluator for Modulus of elasticity given increase in inner radius of outer cylinder, enter Radius at Junction (r_*), Increase in radius (R_i), Hoop Stress on thick shell (σ_θ), Radial Pressure (P_v) & Mass Of Shell (M) and hit the calculate button.

FAQs on Modulus of elasticity given increase in inner radius of outer cylinder

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

The formula of Modulus of elasticity given increase in inner radius of outer cylinder is expressed as Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). Here is an example- 1.5E-6 = (4/0.0065)*(2000+(14000/35.45)).

How to calculate Modulus of elasticity given increase in inner radius of outer cylinder?

With Radius at Junction (r_*), Increase in radius (R_i), Hoop Stress on thick shell (σ_θ), Radial Pressure (P_v) & Mass Of Shell (M) we can find Modulus of elasticity given increase in inner radius of outer cylinder using the formula - Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)).

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/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
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 increase in inner radius of outer cylinder be negative?

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

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

Modulus of elasticity given increase in inner radius of outer cylinder 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 increase in inner radius of outer cylinder can be measured.

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

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

​GoModulus of elasticity given original difference of radii at junction Formula

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

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

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

FAQs on Modulus of elasticity given increase in inner radius of outer cylinder

Variable Name

GoModulus of elasticity decrease in outer radius of inner cylinder Formula

GoModulus of elasticity given original difference of radii at junction Formula