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Increase in inner radius of outer cylinder at junction given constants of lame equation Formula

GoIncrease in inner radius of outer cylinder at junction of compound cylinder Formula

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

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

R_i - Increase in radius?r_* - Radius at Junction?E - Modulus of Elasticity Of Thick Shell?b₁ - Constant 'b' for outer cylinder?a₁ - Constant 'a' for outer cylinder?M - Mass Of Shell?

Increase in inner radius of outer cylinder at junction given constants of lame equation Example

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Here is how the Increase in inner radius of outer cylinder at junction given constants of lame equation equation looks like with Values.

Here is how the Increase in inner radius of outer cylinder at junction given constants of lame equation equation looks like with Units.

Here is how the Increase in inner radius of outer cylinder at junction given constants of lame equation equation looks like.

0.1385 = 4000 \cdot (((\frac{1}{2.6}) \cdot ((\frac{25}{4000}) + 4)) + ((\frac{1}{2.6} \cdot 35.45) \cdot ((\frac{25}{4000}) - 4)))

0.1385mm = 4000mm \cdot (((\frac{1}{2.6MPa}) \cdot ((\frac{25}{4000mm}) + 4)) + ((\frac{1}{2.6MPa} \cdot 35.45kg) \cdot ((\frac{25}{4000mm}) - 4)))

0.1385 = 4000 \cdot (((\frac{1}{2.6}) \cdot ((\frac{25}{4000}) + 4)) + ((\frac{1}{2.6} \cdot 35.45) \cdot ((\frac{25}{4000}) - 4)))

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Increase in inner radius of outer cylinder at junction given constants of lame equation Solution

Follow our step by step solution on how to calculate Increase in inner radius of outer cylinder at junction given constants of lame equation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R i = 4000mm \cdot (((\frac{1}{2.6MPa}) \cdot ((\frac{25}{4000mm}) + 4)) + ((\frac{1}{2.6MPa} \cdot 35.45kg) \cdot ((\frac{25}{4000mm}) - 4)))

Next Step Convert Units

∴

R i = 4m \cdot (((\frac{1}{2.6E+6Pa}) \cdot ((\frac{25}{4m}) + 4)) + ((\frac{1}{2.6E+6Pa} \cdot 35.45kg) \cdot ((\frac{25}{4m}) - 4)))

Next Step Prepare to Evaluate

∴

R i = 4 \cdot (((\frac{1}{2.6E+6}) \cdot ((\frac{25}{4}) + 4)) + ((\frac{1}{2.6E+6} \cdot 35.45) \cdot ((\frac{25}{4}) - 4)))

Next Step Evaluate

∴

R i = 0.000138480769230769m

Next Step Convert to Output's Unit

∴

R i = 0.138480769230769mm

LAST Step Rounding Answer

∴

R i = 0.1385mm

Increase in inner radius of outer cylinder at junction given constants of lame equation Formula Elements

Variables

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

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

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

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

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

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 Increase in radius

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}))

Other formulas in Compound Cylinder Shrinkage Radii Change category

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})

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 Increase in inner radius of outer cylinder at junction given constants of lame equation?

Increase in inner radius of outer cylinder at junction given constants of lame equation evaluator uses Increase in radius = Radius at Junction*(((1/Modulus of Elasticity Of Thick Shell)*((Constant 'b' for outer cylinder/Radius at Junction)+Constant 'a' for outer cylinder))+((1/Modulus of Elasticity Of Thick Shell*Mass Of Shell)*((Constant 'b' for outer cylinder/Radius at Junction)-Constant 'a' for outer cylinder))) to evaluate the Increase in radius, The Increase in inner radius of outer cylinder at junction given constants of lame equation formula is defined as an increase in line segment extending from the center of a circle or sphere to the circumference or bounding surface. Increase in radius is denoted by R_i symbol.

How to evaluate Increase in inner radius of outer cylinder at junction given constants of lame equation using this online evaluator? To use this online evaluator for Increase in inner radius of outer cylinder at junction given constants of lame equation, enter Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), Constant 'b' for outer cylinder (b₁), Constant 'a' for outer cylinder (a₁) & Mass Of Shell (M) and hit the calculate button.

FAQs on Increase in inner radius of outer cylinder at junction given constants of lame equation

What is the formula to find Increase in inner radius of outer cylinder at junction given constants of lame equation?

The formula of Increase in inner radius of outer cylinder at junction given constants of lame equation is expressed as Increase in radius = Radius at Junction*(((1/Modulus of Elasticity Of Thick Shell)*((Constant 'b' for outer cylinder/Radius at Junction)+Constant 'a' for outer cylinder))+((1/Modulus of Elasticity Of Thick Shell*Mass Of Shell)*((Constant 'b' for outer cylinder/Radius at Junction)-Constant 'a' for outer cylinder))). Here is an example- 138.4808 = 4*(((1/2600000)*((25/4)+4))+((1/2600000*35.45)*((25/4)-4))).

How to calculate Increase in inner radius of outer cylinder at junction given constants of lame equation?

With Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), Constant 'b' for outer cylinder (b₁), Constant 'a' for outer cylinder (a₁) & Mass Of Shell (M) we can find Increase in inner radius of outer cylinder at junction given constants of lame equation using the formula - Increase in radius = Radius at Junction*(((1/Modulus of Elasticity Of Thick Shell)*((Constant 'b' for outer cylinder/Radius at Junction)+Constant 'a' for outer cylinder))+((1/Modulus of Elasticity Of Thick Shell*Mass Of Shell)*((Constant 'b' for outer cylinder/Radius at Junction)-Constant 'a' for outer cylinder))).

What are the other ways to Calculate Increase in radius?

Here are the different ways to Calculate Increase in radius-

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

Can the Increase in inner radius of outer cylinder at junction given constants of lame equation be negative?

No, the Increase in inner radius of outer cylinder at junction given constants of lame equation, measured in Length cannot be negative.

Which unit is used to measure Increase in inner radius of outer cylinder at junction given constants of lame equation?

Increase in inner radius of outer cylinder at junction given constants of lame equation is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Increase in inner radius of outer cylinder at junction given constants of lame equation can be measured.

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Increase in inner radius of outer cylinder at junction given constants of lame equation Formula

​GoIncrease in inner radius of outer cylinder at junction of compound cylinder Formula

Increase in inner radius of outer cylinder at junction given constants of lame equation Example

Increase in inner radius of outer cylinder at junction given constants of lame equation Solution

Increase in inner radius of outer cylinder at junction given constants of lame equation Formula Elements

Other Formulas to find Increase in radius

Other formulas in Compound Cylinder Shrinkage Radii Change category

How to Evaluate Increase in inner radius of outer cylinder at junction given constants of lame equation?

FAQs on Increase in inner radius of outer cylinder at junction given constants of lame equation

Variable Name

GoIncrease in inner radius of outer cylinder at junction of compound cylinder Formula