Radial pressure given increase in inner radius of outer cylinder Calculator

✖Increase in radius is the increase in inner radius of outer cylinder of compound cylinder.ⓘ Increase in radius [R_i]			+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 Shell [M]			+10% -10%

✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial pressure given increase in inner radius of outer cylinder [P_v]

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Formula

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Radial pressure given increase in inner radius of outer cylinder

Formula

P v = ((\frac{R i}{\frac{r *}{E}}) - σ θ) \cdot M

Example

0.078876 MPa/m² = ((\frac{6.5 mm}{\frac{4000 mm}{2.6 MPa}}) - 0.002 MPa) \cdot 35.45 kg

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Radial pressure given increase in inner radius of outer cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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)
Mass Of Shell: 35.45 Kilogram --> 35.45 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_v = ((R_i/(r_*/E))-σ_θ)*M --> ((0.0065/(4/2600000))-2000)*35.45

Evaluating ... ...

P_v = 78876.25

STEP 3: Convert Result to Output's Unit

78876.25 Pascal per Square Meter -->0.07887625 Megapascal per Square Meter (Check conversion here)

FINAL ANSWER

0.07887625 ≈ 0.078876 Megapascal per Square Meter <-- Radial Pressure

(Calculation completed in 00.004 seconds)

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< Compound Cylinder Shrinkage Radii Change Calculators

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))

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))

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

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)

Radial pressure given increase in inner radius of outer cylinder Formula

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

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

How to calculate Radial pressure given increase in inner radius of outer cylinder using this online calculator? To use this online calculator for Radial pressure given increase in inner radius of outer cylinder, enter Increase in radius (R_i), Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M) and hit the calculate button. Here is how the Radial pressure given increase in inner radius of outer cylinder calculation can be explained with given input values -> 7.9E-8 = ((0.0065/(4/2600000))-2000)*35.45.

FAQ

What is Radial pressure given increase in inner radius of outer cylinder?

The Radial pressure given increase in inner radius of outer cylinder formula is defined as stress towards or away from the central axis of a component and is represented as P_v = ((R_i/(r_*/E))-σ_θ)*M or Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell. 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 & 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 increase in inner radius of outer cylinder?

The Radial pressure given increase in inner radius of outer cylinder formula is defined as stress towards or away from the central axis of a component is calculated using Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell. To calculate Radial pressure given increase in inner radius of outer cylinder, you need Increase in radius (R_i), Radius at Junction (r_*), Modulus of Elasticity Of Thick Shell (E), Hoop Stress on thick shell (σ_θ) & Mass Of Shell (M). With our tool, you need to enter the respective value for Increase 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 Increase 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 = ((Decrease in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell

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