FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

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

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

Fx Copy

LaTeX Copy

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

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

R_i - Increase 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?

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

With values

With units

Only example

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

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

Here is how the Increase in inner radius of outer 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}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Strength of Materials » fx Increase in inner radius of outer cylinder at junction of compound cylinder

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

R i = 0.00368449603992622m

Next Step Convert to Output's Unit

∴

R i = 3.68449603992622mm

LAST Step Rounding Answer

∴

R i = 3.6845mm

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

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 Increase in radius

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

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)))

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 of compound cylinder?

Increase in inner radius of outer cylinder at junction of compound cylinder evaluator uses Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)) to evaluate the Increase in radius, The Increase in inner radius of outer cylinder at junction of compound cylinder 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 of compound cylinder using this online evaluator? To use this online evaluator for Increase in inner radius of outer 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 Increase in inner radius of outer cylinder at junction of compound cylinder

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

The formula of Increase in inner radius of outer cylinder at junction of compound cylinder is expressed as Increase 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 Increase in inner radius of outer 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 Increase in inner radius of outer cylinder at junction of compound cylinder using the formula - Increase 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 Increase in radius?

Here are the different ways to Calculate Increase in radius-

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)))

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

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

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

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

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

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

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

Variable Name

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