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

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

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

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

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

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

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

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

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

0.0889 = - 4000 \cdot (((\frac{1}{2.6}) \cdot ((\frac{5}{4000}) + 3)) + ((\frac{1}{2.6} \cdot 35.45) \cdot ((\frac{5}{4000}) - 3)))

0.0889mm = - 4000mm \cdot (((\frac{1}{2.6MPa}) \cdot ((\frac{5}{4000mm}) + 3)) + ((\frac{1}{2.6MPa} \cdot 35.45kg) \cdot ((\frac{5}{4000mm}) - 3)))

0.0889 = - 4000 \cdot (((\frac{1}{2.6}) \cdot ((\frac{5}{4000}) + 3)) + ((\frac{1}{2.6} \cdot 35.45) \cdot ((\frac{5}{4000}) - 3)))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R d = - 4000mm \cdot (((\frac{1}{2.6MPa}) \cdot ((\frac{5}{4000mm}) + 3)) + ((\frac{1}{2.6MPa} \cdot 35.45kg) \cdot ((\frac{5}{4000mm}) - 3)))

Next Step Convert Units

∴

R d = - 4m \cdot (((\frac{1}{2.6E+6Pa}) \cdot ((\frac{5}{4m}) + 3)) + ((\frac{1}{2.6E+6Pa} \cdot 35.45kg) \cdot ((\frac{5}{4m}) - 3)))

Next Step Prepare to Evaluate

∴

R d = - 4 \cdot (((\frac{1}{2.6E+6}) \cdot ((\frac{5}{4}) + 3)) + ((\frac{1}{2.6E+6} \cdot 35.45) \cdot ((\frac{5}{4}) - 3)))

Next Step Evaluate

∴

R d = 8.89038461538462E-05m

Next Step Convert to Output's Unit

∴

R d = 0.0889038461538462mm

LAST Step Rounding Answer

∴

R d = 0.0889mm

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

Variables

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

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 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 Decrease in radius

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

R d = (\frac{r *}{E}) \cdot (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 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 Decrease in outer radius of inner cylinder at junction given constants of lame equation?

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

How to evaluate Decrease in outer radius of inner cylinder at junction given constants of lame equation using this online evaluator? To use this online evaluator for Decrease in outer radius of inner cylinder at junction given constants of lame equation, enter Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), Constant 'b' for inner cylinder (b₂), Constant 'a' for inner cylinder (a₂) & Mass Of Shell (M) and hit the calculate button.

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

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

The formula of Decrease in outer radius of inner cylinder at junction given constants of lame equation is expressed as Decrease in radius = -Radius at Junction*(((1/Modulus of Elasticity Of Thick Shell)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Modulus of Elasticity Of Thick Shell*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))). Here is an example- 88.90385 = -4*(((1/2600000)*((5/4)+3))+((1/2600000*35.45)*((5/4)-3))).

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

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

What are the other ways to Calculate Decrease in radius?

Here are the different ways to Calculate Decrease in radius-

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

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

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

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

Decrease in outer radius of inner 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 Decrease in outer radius of inner cylinder at junction given constants of lame equation can be measured.

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

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

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

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

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

Other Formulas to find Decrease in radius

Other formulas in Compound Cylinder Shrinkage Radii Change category

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

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

Variable Name

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