Original difference of radii at junction Calculator

✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at Junction [r_*]			+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%

✖Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.ⓘ Original difference of radii at junction [Δr_original]

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Original difference of radii at junction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Radius at Junction - (Measured in Meter) - The Radius at Junction is the radius value at the junction of compound cylinders.
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

Radius at Junction: 4000 Millimeter --> 4 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

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

Evaluating ... ...

Δr_original = 3.07692307692308E-06

STEP 3: Convert Result to Output's Unit

3.07692307692308E-06 Meter -->0.00307692307692308 Millimeter (Check conversion here)

FINAL ANSWER

0.00307692307692308 ≈ 0.003077 Millimeter <-- Original difference of radii

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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)

Original difference of radii at junction Formula

LaTeX Go

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

Original difference of radii at junction calculator 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 calculate 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 calculate Original difference of radii at junction using this online calculator? To use this online calculator 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. Here is how the Original difference of radii at junction calculation can be explained with given input values -> 3.076923 = 2*4*(4-3)/2600000.

FAQ

What is Original difference of radii at junction?

The Original difference of radii at junction formula is defined as the difference of inner radius and outer radius changes in the compound cylinder and is represented as Δr_original = 2*r_**(a₁-a₂)/E or Original difference of radii = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell. The Radius at Junction is the radius value at the junction of compound cylinders, 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 Original difference of radii at junction?

The Original difference of radii at junction formula is defined as the difference of inner radius and outer radius changes in the compound cylinder is calculated using 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 calculate Original difference of radii at junction, you need Radius at Junction (r_*), 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 Radius at Junction, 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.

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