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

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

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

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

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

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

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

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

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

3.6845 = (\frac{4000}{2.6}) \cdot (0.002 + (\frac{0.014}{35.45}))

3.6845mm = (\frac{4000mm}{2.6MPa}) \cdot (0.002MPa + (\frac{0.014MPa/m²}{35.45kg}))

3.6845 = (\frac{4000}{2.6}) \cdot (0.002 + (\frac{0.014}{35.45}))

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

Follow our step by step solution on how to calculate Decrease in outer radius of inner cylinder at junction of compound cylinder?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R d = (\frac{4000mm}{2.6MPa}) \cdot (0.002MPa + (\frac{0.014MPa/m²}{35.45kg}))

Next Step Convert Units

∴

R d = (\frac{4m}{2.6E+6Pa}) \cdot (2000Pa + (\frac{14000Pa/m²}{35.45kg}))

Next Step Prepare to Evaluate

∴

R d = (\frac{4}{2.6E+6}) \cdot (2000 + (\frac{14000}{35.45}))

Next Step Evaluate

∴

R d = 0.00368449603992622m

Next Step Convert to Output's Unit

∴

R d = 3.68449603992622mm

LAST Step Rounding Answer

∴

R d = 3.6845mm

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

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 Decrease in radius

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

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)))

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 of compound cylinder?

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

FAQs on Decrease in outer radius of inner cylinder at junction of compound cylinder

What is the formula to find Decrease in outer radius of inner cylinder at junction of compound cylinder?

The formula of Decrease in outer radius of inner cylinder at junction of compound cylinder is expressed as Decrease in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). Here is an example- 3684.496 = (4/2600000)*(2000+(14000/35.45)).

How to calculate Decrease in outer radius of inner cylinder at junction of compound cylinder?

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

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*(((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)))

Can the Decrease in outer radius of inner cylinder at junction of compound cylinder be negative?

No, the Decrease in outer radius of inner cylinder at junction of compound cylinder, measured in Length cannot be negative.

Which unit is used to measure Decrease in outer radius of inner cylinder at junction of compound cylinder?

Decrease in outer radius of inner cylinder at junction of compound cylinder 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 of compound cylinder can be measured.

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

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

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

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

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

FAQs on Decrease in outer radius of inner cylinder at junction of compound cylinder

Variable Name

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