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

STEP 0: Pre-Calculation Summary
Formula Used
Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)
M = Pv/((Ri/(r*/E))-σθ)
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.
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.
STEP 1: Convert Input(s) to Base Unit
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Increase in radius: 6.5 Millimeter --> 0.0065 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 = Pv/((Ri/(r*/E))-σθ) --> 14000/((0.0065/(4/2600000))-2000)
Evaluating ... ...
M = 6.29213483146067
STEP 3: Convert Result to Output's Unit
6.29213483146067 Kilogram --> No Conversion Required
FINAL ANSWER
6.29213483146067 6.292135 Kilogram <-- Mass Of Shell
(Calculation completed in 00.004 seconds)

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21 Compound Cylinder Shrinkage Radii Change Calculators

Decrease in outer radius of inner cylinder at junction given constants of lame equation
Go Decrease in radius = -Radius at Junction*(((1/Modulus of Elasticity Of Thick Shell)*((Constant 'b' for inner cylinder/Radius at Junction)+Constant 'a' for inner cylinder))+((1/Modulus of Elasticity Of Thick Shell*Mass Of Shell)*((Constant 'b' for inner cylinder/Radius at Junction)-Constant 'a' for inner cylinder)))
Increase in inner radius of outer cylinder at junction given constants of lame equation
Go 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)))
Modulus of elasticity given decrease in outer radius of inner cylinder and constants
Go 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)))
Modulus of elasticity given increase in inner radius of outer cylinder and constants
Go 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)))
Radius at junction of compound cylinder given increase in inner radius of outer cylinder
Go 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 of compound cylinder given decrease in outer radius of inner cylinder
Go Radius at Junction = (Decrease 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
Go Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Decrease in outer radius of inner cylinder at junction of compound cylinder
Go Decrease in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Mass of compound cylinder given increase in inner radius of outer cylinder
Go Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)
Mass of compound cylinder given decrease in outer radius of inner cylinder
Go Mass Of Shell = Radial Pressure/((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)
Modulus of elasticity given increase in inner radius of outer cylinder
Go Modulus of Elasticity Of Thick Shell = (Radius at Junction/Increase in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Radial pressure given increase in inner radius of outer cylinder
Go Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell
Radial pressure given decrease in outer radius of inner cylinder
Go Radial Pressure = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell
Modulus of elasticity decrease in outer radius of inner cylinder
Go Modulus of Elasticity Of Thick Shell = (Radius at Junction/Decrease in radius)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Hoop stress given increase in inner radius of outer cylinder
Go Hoop Stress on thick shell = (Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/Mass Of Shell)
Hoop stress given decrease in outer radius of inner cylinder
Go Hoop Stress on thick shell = (Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/Mass Of Shell)
Radius at junction of compound cylinder given original difference of radii at junction
Go Radius at Junction = Original difference of radii/(2*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell)
Constant 'a' for inner cylinder given original difference of radii at junction
Go Constant 'a' for inner cylinder = Constant 'a' for outer cylinder-(Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction))
Constant for outer cylinder given original difference of radii at junction
Go Constant 'a' for outer cylinder = (Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction))+Constant 'a' for inner cylinder
Modulus of elasticity given original difference of radii at junction
Go Modulus of Elasticity Of Thick Shell = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Original difference of radii
Original difference of radii at junction
Go Original difference of radii = 2*Radius at Junction*(Constant 'a' for outer cylinder-Constant 'a' for inner cylinder)/Modulus of Elasticity Of Thick Shell

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

Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)
M = Pv/((Ri/(r*/E))-σθ)

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 increase in inner radius of outer cylinder?

Mass of compound cylinder given increase in inner radius of outer cylinder calculator uses Mass Of Shell = Radial Pressure/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell) to calculate the Mass Of Shell, The Mass of compound cylinder given increase in inner radius of outer cylinder formula is defined as 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 increase in inner radius of outer cylinder using this online calculator? To use this online calculator for Mass of compound cylinder given increase in inner radius of outer cylinder, enter Radial Pressure (Pv), Increase in radius (Ri), Radius at Junction (r*), Modulus of Elasticity Of Thick Shell (E) & Hoop Stress on thick shell θ) and hit the calculate button. Here is how the Mass of compound cylinder given increase in inner radius of outer cylinder calculation can be explained with given input values -> 6.292135 = 14000/((0.0065/(4/2600000))-2000).

FAQ

What is Mass of compound cylinder given increase in inner radius of outer cylinder?
The Mass of compound cylinder given increase in inner radius of outer cylinder formula is defined as 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 = Pv/((Ri/(r*/E))-σθ) or Mass Of Shell = Radial Pressure/((Increase 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, Increase in radius is the increase in inner radius of outer 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 increase in inner radius of outer cylinder?
The Mass of compound cylinder given increase in inner radius of outer cylinder formula is defined as 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/((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell). To calculate Mass of compound cylinder given increase in inner radius of outer cylinder, you need Radial Pressure (Pv), Increase in radius (Ri), Radius at Junction (r*), Modulus of Elasticity Of Thick Shell (E) & Hoop Stress on thick shell θ). With our tool, you need to enter the respective value for Radial Pressure, Increase 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, Increase 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/((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)
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