Modulus of elasticity given decrease in outer radius of inner cylinder and constants Calculator

✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at Junction [r_*]			+10% -10%
✖Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder.ⓘ Decrease in radius [R_d]			+10% -10%
✖Constant 'b' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for inner cylinder [b₂]			+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%
✖Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass Of Shell [M]			+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 decrease in outer radius of inner cylinder and constants [E]

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Modulus of elasticity given decrease in outer radius of inner cylinder and constants Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Thick Shell = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder)))
E = -r_**(((1/R_d)*((b₂/r_*)+a₂))+((1/R_d*M)*((b₂/r_*)-a₂)))
This formula uses 6 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.
Decrease in radius - (Measured in Meter) - Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder.
Constant 'b' for inner cylinder - Constant 'b' for inner 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.
Mass Of Shell - (Measured in Kilogram) - Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

STEP 1: Convert Input(s) to Base Unit

Radius at Junction: 4000 Millimeter --> 4 Meter (Check conversion here)
Decrease in radius: 8 Millimeter --> 0.008 Meter (Check conversion here)
Constant 'b' for inner cylinder: 5 --> No Conversion Required
Constant 'a' for inner cylinder: 3 --> No Conversion Required
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = -r_**(((1/R_d)*((b₂/r_*)+a₂))+((1/R_d*M)*((b₂/r_*)-a₂))) --> -4*(((1/0.008)*((5/4)+3))+((1/0.008*35.45)*((5/4)-3)))

Evaluating ... ...

E = 28893.75

STEP 3: Convert Result to Output's Unit

28893.75 Pascal -->0.02889375 Megapascal (Check conversion here)

FINAL ANSWER

0.02889375 ≈ 0.028894 Megapascal <-- Modulus of Elasticity Of Thick Shell

(Calculation completed in 00.004 seconds)

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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)

Modulus of elasticity given decrease in outer radius of inner cylinder and constants Formula

LaTeX Go

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 decrease in outer radius of inner cylinder and constants?

Modulus of elasticity given decrease in outer radius of inner cylinder and constants calculator uses Modulus of Elasticity Of Thick Shell = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))) to calculate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given decrease in outer radius of inner cylinder and constants 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 decrease in outer radius of inner cylinder and constants using this online calculator? To use this online calculator for Modulus of elasticity given decrease in outer radius of inner cylinder and constants, enter Radius at Junction (r_*), Decrease in radius (R_d), Constant 'b' for inner cylinder (b₂), Constant 'a' for inner cylinder (a₂) & Mass Of Shell (M) and hit the calculate button. Here is how the Modulus of elasticity given decrease in outer radius of inner cylinder and constants calculation can be explained with given input values -> 2.9E-8 = -4*(((1/0.008)*((5/4)+3))+((1/0.008*35.45)*((5/4)-3))).

FAQ

What is Modulus of elasticity given decrease in outer radius of inner cylinder and constants?

The Modulus of elasticity given decrease in outer radius of inner cylinder and constants 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 = -r_**(((1/R_d)*((b₂/r_*)+a₂))+((1/R_d*M)*((b₂/r_*)-a₂))) or Modulus of Elasticity Of Thick Shell = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))). The Radius at Junction is the radius value at the junction of compound cylinders, Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder, Constant 'b' for inner 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 & Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.

How to calculate Modulus of elasticity given decrease in outer radius of inner cylinder and constants?

The Modulus of elasticity given decrease in outer radius of inner cylinder and constants 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 = -Radius at Junction*(((1/Decrease in radius)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Decrease in radius*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder))). To calculate Modulus of elasticity given decrease in outer radius of inner cylinder and constants, you need Radius at Junction (r_*), Decrease in radius (R_d), Constant 'b' for inner cylinder (b₂), Constant 'a' for inner cylinder (a₂) & Mass Of Shell (M). With our tool, you need to enter the respective value for Radius at Junction, Decrease in radius, Constant 'b' for inner cylinder, Constant 'a' for inner cylinder & Mass Of 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 Modulus of Elasticity Of Thick Shell?

In this formula, Modulus of Elasticity Of Thick Shell uses Radius at Junction, Decrease in radius, Constant 'b' for inner cylinder, Constant 'a' for inner cylinder & Mass Of Shell. 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 = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii

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