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

✖Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.ⓘ Original difference of radii [Δr_original]			+10% -10%
✖Constant 'a' for outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for outer cylinder [a₁]			+10% -10%
✖Constant 'a' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for inner cylinder [a₂]			+10% -10%
✖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.ⓘ Modulus of Elasticity Of Thick Shell [E]			+10% -10%

✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at junction of compound cylinder given original difference of radii at junction [r_*]

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell)
r_* = Δr_original/(2*(a₁-a₂)/E)
This formula uses 5 Variables

Variables Used

Radius at Junction - (Measured in Meter) - The Radius at Junction is the radius value at the junction of compound cylinders.
Original difference of radii - (Measured in Meter) - Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.
Constant 'a' for outer cylinder - Constant 'a' for outer cylinder is defined as the constant used in lame's equation.
Constant 'a' for inner cylinder - Constant 'a' for inner cylinder is defined as the constant used in lame's equation.
Modulus of Elasticity Of Thick Shell - (Measured in Pascal) - 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.

STEP 1: Convert Input(s) to Base Unit

Original difference of radii: 0.02 Millimeter --> 2E-05 Meter (Check conversion here)
Constant 'a' for outer cylinder: 4 --> No Conversion Required
Constant 'a' for inner cylinder: 3 --> No Conversion Required
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_* = Δr_original/(2*(a₁-a₂)/E) --> 2E-05/(2*(4-3)/2600000)

Evaluating ... ...

r_* = 26

STEP 3: Convert Result to Output's Unit

26 Meter -->26000 Millimeter (Check conversion here)

FINAL ANSWER

26000 Millimeter <-- Radius at Junction

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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< Compound Cylinder Shrinkage Radii Change Calculators

Radius at junction of compound cylinder given increase in inner radius of outer cylinder

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

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

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

Radial pressure given increase in inner radius of outer cylinder

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

Hoop stress given increase in inner radius of outer cylinder

LaTeX Go Hoop Stress on thick shell = (Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/Mass Of Shell)

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

LaTeX Go

Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell)
r_* = Δr_original/(2*(a₁-a₂)/E)

What is meant by hoop stress?

The hoop stress is the force over the area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall.

How to Calculate Radius at junction of compound cylinder given original difference of radii at junction?

Radius at junction of compound cylinder given original difference of radii at junction calculator uses Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell) to calculate the Radius at Junction, The Radius at junction of compound cylinder given original difference of radii at junction formula is defined as 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 calculate Radius at junction of compound cylinder given original difference of radii at junction using this online calculator? To use this online calculator for Radius at junction of compound cylinder given original difference of radii at junction, enter Original difference of radii (Δr_original), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Modulus of Elasticity Of Thick Shell (E) and hit the calculate button. Here is how the Radius at junction of compound cylinder given original difference of radii at junction calculation can be explained with given input values -> 2.6E+7 = 2E-05/(2*(4-3)/2600000).

FAQ

What is Radius at junction of compound cylinder given original difference of radii at junction?

The Radius at junction of compound cylinder given original difference of radii at junction formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as r_* = Δr_original/(2*(a₁-a₂)/E) or Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell). Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder, Constant 'a' for outer cylinder is defined as the constant used in lame's equation, Constant 'a' for inner cylinder is defined as the constant used in lame's equation & 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.

How to calculate Radius at junction of compound cylinder given original difference of radii at junction?

The Radius at junction of compound cylinder given original difference of radii at junction formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell). To calculate Radius at junction of compound cylinder given original difference of radii at junction, you need Original difference of radii (Δr_original), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Modulus of Elasticity Of Thick Shell (E). With our tool, you need to enter the respective value for Original difference of radii, Constant 'a' for outer cylinder, Constant 'a' for inner cylinder & Modulus of Elasticity Of Thick Shell and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Radius at Junction?

In this formula, Radius at Junction uses Original difference of radii, Constant 'a' for outer cylinder, Constant 'a' for inner cylinder & Modulus of Elasticity Of Thick Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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