Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Calculator

✖Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder.ⓘ Decrease in radius [R_d]			+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%

✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at junction of compound cylinder given decrease in outer radius of inner cylinder [r_*]

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Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Decrease in radius: 8 Millimeter --> 0.008 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_* = (R_d*E)/(σ_θ+(P_v/M)) --> (0.008*2600000)/(2000+(14000/35.45))

Evaluating ... ...

r_* = 8.68504122497055

STEP 3: Convert Result to Output's Unit

8.68504122497055 Meter -->8685.04122497056 Millimeter (Check conversion here)

FINAL ANSWER

8685.04122497056 ≈ 8685.041 Millimeter <-- Radius at Junction

(Calculation completed in 00.012 seconds)

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

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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)

Radius at junction of compound cylinder given decrease in outer radius of inner cylinder Formula

LaTeX Go

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

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

How to calculate Radius at junction of compound cylinder given decrease in outer radius of inner cylinder using this online calculator? To use this online calculator for Radius at junction of compound cylinder given decrease in outer radius of inner cylinder, enter Decrease in radius (R_d), 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 Radius at junction of compound cylinder given decrease in outer radius of inner cylinder calculation can be explained with given input values -> 8.7E+6 = (0.008*2600000)/(2000+(14000/35.45)).

FAQ

What is Radius at junction of compound cylinder given decrease in outer radius of inner cylinder?

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

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

In this formula, Radius at Junction uses Decrease in radius, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell, Radial Pressure & Mass Of Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -

Radius at Junction = (Increase in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell)

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