Hoop stress 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%
✖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%

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop stress given increase in inner radius of outer cylinder [σ_θ]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Hoop stress given increase in inner radius of outer cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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.
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

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)
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

σ_θ = (R_i/(r_*/E))-(P_v/M) --> (0.0065/(4/2600000))-(14000/35.45)

Evaluating ... ...

σ_θ = 3830.07757404795

STEP 3: Convert Result to Output's Unit

3830.07757404795 Pascal -->0.00383007757404795 Megapascal (Check conversion here)

FINAL ANSWER

0.00383007757404795 ≈ 0.00383 Megapascal <-- Hoop Stress on thick shell

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Compound Cylinder Shrinkage Radii Change » Hoop stress given increase in inner radius of outer cylinder

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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)

Hoop stress given increase in inner radius of outer cylinder Formula

LaTeX Go

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

Hoop stress given increase in inner radius of outer cylinder calculator uses Hoop Stress on thick shell = (Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/Mass Of Shell) to calculate the Hoop Stress on thick shell, The Hoop stress given increase in inner radius of outer cylinder formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to calculate Hoop stress given increase in inner radius of outer cylinder using this online calculator? To use this online calculator for Hoop stress 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), Radial Pressure (P_v) & Mass Of Shell (M) and hit the calculate button. Here is how the Hoop stress given increase in inner radius of outer cylinder calculation can be explained with given input values -> 3.8E-9 = (0.0065/(4/2600000))-(14000/35.45).

FAQ

What is Hoop stress given increase in inner radius of outer cylinder?

The Hoop stress given increase in inner radius of outer cylinder formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall and is represented as σ_θ = (R_i/(r_*/E))-(P_v/M) or Hoop Stress on thick shell = (Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/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, 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 Hoop stress given increase in inner radius of outer cylinder?

The Hoop stress given increase in inner radius of outer cylinder formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall is calculated using Hoop Stress on thick shell = (Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/Mass Of Shell). To calculate Hoop stress 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), Radial Pressure (P_v) & 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, 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 Hoop Stress on thick shell?

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

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

Home

FREE PDFs

🔍 Search