Mass of compound cylinder given decrease in outer radius of inner cylinder Calculator

✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder.ⓘ Decrease in radius [R_d]			+10% -10%
✖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%

✖Mass Of Shell is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of compound cylinder given decrease in outer radius of inner cylinder [M]

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Mass of compound cylinder given decrease in outer radius of inner cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Decrease in radius - (Measured in Meter) - Decrease in radius is the decrease in outer radius of inner 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.

STEP 1: Convert Input(s) to Base Unit

Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Decrease in radius: 8 Millimeter --> 0.008 Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M = P_v/((R_d/(r_*/E))-σ_θ) --> 14000/((0.008/(4/2600000))-2000)

Evaluating ... ...

M = 4.375

STEP 3: Convert Result to Output's Unit

4.375 Kilogram --> No Conversion Required

FINAL ANSWER

4.375 Kilogram <-- Mass Of Shell

(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 » Mass of compound cylinder given decrease in outer radius of inner 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)

Mass of compound cylinder given decrease in outer radius of inner cylinder Formula

LaTeX Go

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

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 Mass of compound cylinder given decrease in outer radius of inner cylinder?

Mass of compound cylinder given decrease in outer radius of inner cylinder calculator uses Mass Of Shell = Radial Pressure/((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell) to calculate the Mass Of Shell, Mass of compound cylinder given decrease in outer radius of inner cylinder is both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity concerning the time) when a net force is applied. Mass Of Shell is denoted by M symbol.

How to calculate Mass of compound cylinder given decrease in outer radius of inner cylinder using this online calculator? To use this online calculator for Mass of compound cylinder given decrease in outer radius of inner cylinder, enter Radial Pressure (P_v), Decrease in radius (R_d), Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E) & Hoop Stress on thick shell (σ_θ) and hit the calculate button. Here is how the Mass of compound cylinder given decrease in outer radius of inner cylinder calculation can be explained with given input values -> 4.375 = 14000/((0.008/(4/2600000))-2000).

FAQ

What is Mass of compound cylinder given decrease in outer radius of inner cylinder?

Mass of compound cylinder given decrease in outer radius of inner cylinder is both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity concerning the time) when a net force is applied and is represented as M = P_v/((R_d/(r_*/E))-σ_θ) or Mass Of Shell = Radial Pressure/((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell). Radial Pressure is pressure towards or away from the central axis of a component, Decrease in radius is the decrease in outer radius of inner cylinder of compound cylinder, 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.

How to calculate Mass of compound cylinder given decrease in outer radius of inner cylinder?

Mass of compound cylinder given decrease in outer radius of inner cylinder is both a property of a physical body and a measure of its resistance to acceleration (rate of change of velocity concerning the time) when a net force is applied is calculated using Mass Of Shell = Radial Pressure/((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell). To calculate Mass of compound cylinder given decrease in outer radius of inner cylinder, you need Radial Pressure (P_v), Decrease in radius (R_d), Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E) & Hoop Stress on thick shell (σ_θ). With our tool, you need to enter the respective value for Radial Pressure, Decrease in radius, Radius at Junction, Modulus of Elasticity Of Thick Shell & Hoop Stress on thick 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 Mass Of Shell?

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

Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)

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