Modulus of elasticity given increase in inner radius of outer cylinder Calculator

✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at Junction [r_*]			+10% -10%
✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in radius [R_i]			+10% -10%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+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 increase in inner radius of outer cylinder [E]

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Modulus of elasticity given increase in inner radius of outer cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
E = (r_*/R_i)*(σ_θ+(P_v/M))
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.
Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
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)
Increase in radius: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = (r_*/R_i)*(σ_θ+(P_v/M)) --> (4/0.0065)*(2000+(14000/35.45))

Evaluating ... ...

E = 1473798.41597049

STEP 3: Convert Result to Output's Unit

1473798.41597049 Pascal -->1.47379841597049 Megapascal (Check conversion here)

FINAL ANSWER

1.47379841597049 ≈ 1.473798 Megapascal <-- Modulus of Elasticity Of Thick Shell

(Calculation completed in 00.020 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 increase in inner radius of outer cylinder Formula

LaTeX Go

Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
E = (r_*/R_i)*(σ_θ+(P_v/M))

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 increase in inner radius of outer cylinder?

Modulus of elasticity given increase in inner radius of outer cylinder calculator uses Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)) to calculate the Modulus of Elasticity Of Thick Shell, The Modulus of elasticity given increase in inner radius of outer cylinder 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 increase in inner radius of outer cylinder using this online calculator? To use this online calculator for Modulus of elasticity given increase in inner radius of outer cylinder, enter Radius at Junction (r_*), Increase in radius (R_i), Hoop Stress on thick shell (σ_θ), Radial Pressure (P_v) & Mass Of Shell (M) and hit the calculate button. Here is how the Modulus of elasticity given increase in inner radius of outer cylinder calculation can be explained with given input values -> 1.5E-6 = (4/0.0065)*(2000+(14000/35.45)).

FAQ

What is Modulus of elasticity given increase in inner radius of outer cylinder?

The Modulus of elasticity given increase in inner radius of outer cylinder 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_*/R_i)*(σ_θ+(P_v/M)) or Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). The Radius at Junction is the radius value at the junction of compound cylinders, Increase in radius is the increase in inner radius of outer cylinder of compound cylinder, Hoop Stress on thick shell is the circumferential stress in a cylinder, Radial Pressure is pressure towards or away from the central axis of a component & 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 increase in inner radius of outer cylinder?

The Modulus of elasticity given increase in inner radius of outer cylinder 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/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). To calculate Modulus of elasticity given increase in inner radius of outer cylinder, you need Radius at Junction (r_*), Increase in radius (R_i), Hoop Stress on thick shell (σ_θ), Radial Pressure (P_v) & Mass Of Shell (M). With our tool, you need to enter the respective value for Radius at Junction, Increase in radius, Hoop Stress on thick shell, Radial Pressure & 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, Increase in radius, Hoop Stress on thick shell, Radial Pressure & 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/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
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)))

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