Modulus of elasticity given 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%
✖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%

✖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 given original difference of radii at junction [E]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Modulus of elasticity given original difference of radii at junction Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Original difference of radii: 0.02 Millimeter --> 2E-05 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

E = 400000

STEP 3: Convert Result to Output's Unit

400000 Pascal -->0.4 Megapascal (Check conversion here)

FINAL ANSWER

0.4 Megapascal <-- Modulus of Elasticity Of Thick Shell

(Calculation completed in 00.020 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Compound Cylinder Shrinkage Radii Change » Modulus of elasticity given original difference of radii at junction

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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)

Modulus of elasticity given original difference of radii at junction Formula

LaTeX Go

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

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 Modulus of elasticity given original difference of radii at junction?

Modulus of elasticity given original difference of radii at junction calculator uses Modulus of Elasticity Of Thick Shell = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii to calculate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given original difference of radii at junction formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it. Modulus of Elasticity Of Thick Shell is denoted by E symbol.

How to calculate Modulus of elasticity given original difference of radii at junction using this online calculator? To use this online calculator for Modulus of elasticity given original difference of radii at junction, enter Radius at Junction (r_*), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Original difference of radii (Δr_original) and hit the calculate button. Here is how the Modulus of elasticity given original difference of radii at junction calculation can be explained with given input values -> 4E-7 = 2*4*(4-3)/2E-05.

FAQ

What is Modulus of elasticity given original difference of radii at junction?

The Modulus of elasticity given original difference of radii at junction formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it and is represented as E = 2*r_**(a₁-a₂)/Δr_original or Modulus of Elasticity Of Thick Shell = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii. 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 & Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.

How to calculate Modulus of elasticity given original difference of radii at junction?

The Modulus of elasticity given original difference of radii at junction formula is defined as a quantity that measures an object or substance's resistance to being deformed elastically (i.e., non-permanently) when stress is applied to it is calculated using Modulus of Elasticity Of Thick Shell = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii. To calculate Modulus of elasticity given original difference of radii at junction, you need Radius at Junction (r_*), Constant 'a' for outer cylinder (a₁), Constant 'a' for inner cylinder (a₂) & Original difference of radii (Δr_original). With our tool, you need to enter the respective value for Radius at Junction, Constant 'a' for outer cylinder, Constant 'a' for inner cylinder & Original difference of radii 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 Modulus of Elasticity Of Thick Shell?

In this formula, Modulus of Elasticity Of Thick Shell uses Radius at Junction, Constant 'a' for outer cylinder, Constant 'a' for inner cylinder & Original difference of radii. We can use 3 other way(s) to calculate the same, which is/are as follows -

Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Modulus of Elasticity Of Thick Shell = (Radius at Junction/Decrease in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Modulus of Elasticity Of Thick Shell = Radius at Junction*(((1/Increase in radius)*((Constant 'b' for outer cylinder/Radius at Junction)+Constant 'a' for outer cylinder))+((1/Increase in radius*Mass Of Shell)*((Constant 'b' for outer cylinder/Radius at Junction)-Constant 'a' for outer cylinder)))

Home

FREE PDFs

🔍 Search