FormulaDen.com

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

Original difference of radii at junction Formula

Fx Copy

LaTeX Copy

Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder. Check FAQs

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

Δr_original - Original difference of radii?r_* - Radius at Junction?a₁ - Constant 'a' for outer cylinder?a₂ - Constant 'a' for inner cylinder?E - Modulus of Elasticity Of Thick Shell?

Original difference of radii at junction Example

With values

With units

Only example

Here is how the Original difference of radii at junction equation looks like with Values.

Here is how the Original difference of radii at junction equation looks like with Units.

Here is how the Original difference of radii at junction equation looks like.

0.0031 = 2 \cdot 4000 \cdot \frac{4 - 3}{2.6}

0.0031mm = 2 \cdot 4000mm \cdot \frac{4 - 3}{2.6MPa}

0.0031 = 2 \cdot 4000 \cdot \frac{4 - 3}{2.6}

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 Original difference of radii at junction

Original difference of radii at junction Solution

Follow our step by step solution on how to calculate Original difference of radii at junction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Δr original = 2 \cdot 4000mm \cdot \frac{4 - 3}{2.6MPa}

Next Step Convert Units

∴

Δr original = 2 \cdot 4m \cdot \frac{4 - 3}{2.6E+6Pa}

Next Step Prepare to Evaluate

∴

Δr original = 2 \cdot 4 \cdot \frac{4 - 3}{2.6E+6}

Next Step Evaluate

∴

Δr original = 3.07692307692308E-06m

Next Step Convert to Output's Unit

∴

Δr original = 0.00307692307692308mm

LAST Step Rounding Answer

∴

Δr original = 0.0031mm

Original difference of radii at junction Formula Elements

Variables

Original difference of radii

Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.

Symbol: Δr_original

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Original difference of radii

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

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

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

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

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 Original difference of radii at junction?

Original difference of radii at junction evaluator uses Original difference of radii = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell to evaluate the Original difference of radii, The Original difference of radii at junction formula is defined as the difference of inner radius and outer radius changes in the compound cylinder. Original difference of radii is denoted by Δr_original symbol.

How to evaluate Original difference of radii at junction using this online evaluator? To use this online evaluator for Original difference of radii at junction, enter Radius at Junction (r_*), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Modulus of Elasticity Of Thick Shell (E) and hit the calculate button.

FAQs on Original difference of radii at junction

What is the formula to find Original difference of radii at junction?

The formula of Original difference of radii at junction is expressed as Original difference of radii = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell. Here is an example- 3.076923 = 2*4*(4-3)/2600000.

How to calculate Original difference of radii at junction?

With Radius at Junction (r_*), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Modulus of Elasticity Of Thick Shell (E) we can find Original difference of radii at junction using the formula - Original difference of radii = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell.

Can the Original difference of radii at junction be negative?

No, the Original difference of radii at junction, measured in Length cannot be negative.

Which unit is used to measure Original difference of radii at junction?

Original difference of radii at junction is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Original difference of radii at junction can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Original difference of radii at junction Formula

Original difference of radii at junction Example

Original difference of radii at junction Solution

Original difference of radii at junction Formula Elements

Other formulas in Compound Cylinder Shrinkage Radii Change category

How to Evaluate Original difference of radii at junction?

FAQs on Original difference of radii at junction

Variable Name