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

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

✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in inner radius of outer cylinder at junction of compound cylinder [R_i]

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

STEP 0: Pre-Calculation Summary

Formula Used

Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
R_i = (r_*/E)*(σ_θ+(P_v/M))
This formula uses 6 Variables

Variables Used

Increase in radius - (Measured in Meter) - Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.
Radius at Junction - (Measured in Meter) - The Radius at Junction is the radius value at the junction of compound cylinders.
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.
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)
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (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

R_i = (r_*/E)*(σ_θ+(P_v/M)) --> (4/2600000)*(2000+(14000/35.45))

Evaluating ... ...

R_i = 0.00368449603992622

STEP 3: Convert Result to Output's Unit

0.00368449603992622 Meter -->3.68449603992622 Millimeter (Check conversion here)

FINAL ANSWER

3.68449603992622 ≈ 3.684496 Millimeter <-- Increase in radius

(Calculation completed in 00.020 seconds)

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Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Compound Cylinder Shrinkage Radii Change » Increase in inner radius of outer cylinder at junction of compound cylinder

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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)

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

LaTeX Go

Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
R_i = (r_*/E)*(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 Increase in inner radius of outer cylinder at junction of compound cylinder?

Increase in inner radius of outer cylinder at junction of compound cylinder calculator uses Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)) to calculate the Increase in radius, The Increase in inner radius of outer cylinder at junction of compound cylinder formula is defined as an increase in line segment extending from the center of a circle or sphere to the circumference or bounding surface. Increase in radius is denoted by R_i symbol.

How to calculate Increase in inner radius of outer cylinder at junction of compound cylinder using this online calculator? To use this online calculator for Increase in inner radius of outer cylinder at junction of compound cylinder, enter Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ), Radial Pressure (P_v) & Mass Of Shell (M) and hit the calculate button. Here is how the Increase in inner radius of outer cylinder at junction of compound cylinder calculation can be explained with given input values -> 3684.496 = (4/2600000)*(2000+(14000/35.45)).

FAQ

What is Increase in inner radius of outer cylinder at junction of compound cylinder?

The Increase in inner radius of outer cylinder at junction of compound cylinder formula is defined as an increase in line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as R_i = (r_*/E)*(σ_θ+(P_v/M)) or Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). The Radius at Junction is the radius value at the junction of compound cylinders, 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, 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 Increase in inner radius of outer cylinder at junction of compound cylinder?

The Increase in inner radius of outer cylinder at junction of compound cylinder formula is defined as an increase in line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell)). To calculate Increase in inner radius of outer cylinder at junction of compound cylinder, you need Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), 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, Modulus of Elasticity Of Thick Shell, 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 Increase in radius?

In this formula, Increase in radius uses Radius at Junction, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell, Radial Pressure & Mass Of Shell. We can use 1 other way(s) to calculate the same, which is/are as follows -

Increase in radius = Radius at Junction*(((1/Modulus of Elasticity Of Thick Shell)*((Constant 'b' for outer cylinder/Radius at Junction)+Constant 'a' for outer cylinder))+((1/Modulus of Elasticity Of Thick Shell*Mass Of Shell)*((Constant 'b' for outer cylinder/Radius at Junction)-Constant 'a' for outer cylinder)))

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