Radial pressure given decrease in outer radius of inner cylinder Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radial Pressure = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell
Pv = ((Rd/(r*/E))-σθ)*M
This formula uses 6 Variables
Variables Used
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.
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)
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)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pv = ((Rd/(r*/E))-σθ)*M --> ((0.008/(4/2600000))-2000)*35.45
Evaluating ... ...
Pv = 113440
STEP 3: Convert Result to Output's Unit
113440 Pascal per Square Meter -->0.11344 Megapascal per Square Meter (Check conversion here)
FINAL ANSWER
0.11344 Megapascal per Square Meter <-- Radial Pressure
(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

Radial pressure given decrease in outer radius of inner cylinder Formula

Radial Pressure = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell
Pv = ((Rd/(r*/E))-σθ)*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 Radial pressure given decrease in outer radius of inner cylinder?

Radial pressure given decrease in outer radius of inner cylinder calculator uses Radial Pressure = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell to calculate the Radial Pressure, Radial pressure given decrease in outer radius of inner cylinder is stress towards or away from the central axis of a component. Radial Pressure is denoted by Pv symbol.

How to calculate Radial pressure given decrease in outer radius of inner cylinder using this online calculator? To use this online calculator for Radial pressure given decrease in outer radius of inner cylinder, enter Decrease in radius (Rd), Radius at Junction (r*), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell θ) & Mass Of Shell (M) and hit the calculate button. Here is how the Radial pressure given decrease in outer radius of inner cylinder calculation can be explained with given input values -> 1.1E-7 = ((0.008/(4/2600000))-2000)*35.45.

FAQ

What is Radial pressure given decrease in outer radius of inner cylinder?
Radial pressure given decrease in outer radius of inner cylinder is stress towards or away from the central axis of a component and is represented as Pv = ((Rd/(r*/E))-σθ)*M or Radial Pressure = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell. 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 & 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 Radial pressure given decrease in outer radius of inner cylinder?
Radial pressure given decrease in outer radius of inner cylinder is stress towards or away from the central axis of a component is calculated using Radial Pressure = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell. To calculate Radial pressure given decrease in outer radius of inner cylinder, you need Decrease in radius (Rd), Radius at Junction (r*), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell θ) & Mass Of Shell (M). With our tool, you need to enter the respective value for Decrease in radius, Radius at Junction, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell & 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 Radial Pressure?
In this formula, Radial Pressure uses Decrease in radius, Radius at Junction, Modulus of Elasticity Of Thick Shell, Hoop Stress on thick shell & Mass Of Shell. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell
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