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Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula

GoRadius at junction of compound cylinder given increase in inner radius of outer cylinder Formula

GoRadius at junction of compound cylinder given original difference of radii at junction Formula

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The Radius at Junction is the radius value at the junction of compound cylinders. Check FAQs

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

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

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Example

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

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

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

8685.0412 = \frac{8 \cdot 2.6}{0.002 + (\frac{0.014}{35.45})}

8685.0412mm = \frac{8mm \cdot 2.6MPa}{0.002MPa + (\frac{0.014MPa/m²}{35.45kg})}

8685.0412 = \frac{8 \cdot 2.6}{0.002 + (\frac{0.014}{35.45})}

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Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r * = \frac{8mm \cdot 2.6MPa}{0.002MPa + (\frac{0.014MPa/m²}{35.45kg})}

Next Step Convert Units

∴

r * = \frac{0.008m \cdot 2.6E+6Pa}{2000Pa + (\frac{14000Pa/m²}{35.45kg})}

Next Step Prepare to Evaluate

∴

r * = \frac{0.008 \cdot 2.6E+6}{2000 + (\frac{14000}{35.45})}

Next Step Evaluate

∴

r * = 8.68504122497055m

Next Step Convert to Output's Unit

∴

r * = 8685.04122497056mm

LAST Step Rounding Answer

∴

r * = 8685.0412mm

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula Elements

Variables

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

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 Radius at Junction

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 Radius at junction of compound cylinder given original difference of radii at junction

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

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 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 Radius at junction of compound cylinder given decrease in outer radius of inner cylinder?

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder evaluator uses Radius at Junction = (Decrease in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)) to evaluate the Radius at Junction, Radius at junction of compound cylinder given decrease in outer radius of inner cylinder is a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius at Junction is denoted by r_* symbol.

How to evaluate Radius at junction of compound cylinder given decrease in outer radius of inner cylinder using this online evaluator? To use this online evaluator for Radius at junction of compound cylinder given decrease in outer radius of inner cylinder, enter Decrease in radius (R_d), 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 Radius at junction of compound cylinder given decrease in outer radius of inner cylinder

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

The formula of Radius at junction of compound cylinder given decrease in outer radius of inner cylinder is expressed as Radius at Junction = (Decrease in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). Here is an example- 8.7E+6 = (0.008*2600000)/(2000+(14000/35.45)).

How to calculate Radius at junction of compound cylinder given decrease in outer radius of inner cylinder?

With Decrease in radius (R_d), 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 Radius at junction of compound cylinder given decrease in outer radius of inner cylinder using the formula - Radius at Junction = (Decrease in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)).

What are the other ways to Calculate Radius at Junction?

Here are the different ways to Calculate Radius at Junction-

Radius at Junction=(Increase in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Radius at Junction=Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell)

Can the Radius at junction of compound cylinder given decrease in outer radius of inner cylinder be negative?

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

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

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

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Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula

​GoRadius at junction of compound cylinder given increase in inner radius of outer cylinder Formula

​GoRadius at junction of compound cylinder given original difference of radii at junction Formula

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Example

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Solution

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula Elements

Other Formulas to find Radius at Junction

Other formulas in Compound Cylinder Shrinkage Radii Change category

How to Evaluate Radius at junction of compound cylinder given decrease in outer radius of inner cylinder?

FAQs on Radius at junction of compound cylinder given decrease in outer radius of inner cylinder

Variable Name

GoRadius at junction of compound cylinder given increase in inner radius of outer cylinder Formula

GoRadius at junction of compound cylinder given original difference of radii at junction Formula