Hoop Stress in compound cylinder due to internal fluid pressure alone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell
σθ = (B/(rcylindrical shell^2))+A
This formula uses 4 Variables
Variables Used
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Constant B for Single Thick Shell - Constant B for Single Thick Shell is the constant used in lame's equation in case of internal fluid pressure.
Radius Of Cylindrical Shell - (Measured in Meter) - Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.
Constant A for single thick shell - Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.
STEP 1: Convert Input(s) to Base Unit
Constant B for Single Thick Shell: 6 --> No Conversion Required
Radius Of Cylindrical Shell: 8000 Millimeter --> 8 Meter (Check conversion ​here)
Constant A for single thick shell: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σθ = (B/(rcylindrical shell^2))+A --> (6/(8^2))+2
Evaluating ... ...
σθ = 2.09375
STEP 3: Convert Result to Output's Unit
2.09375 Pascal -->2.09375E-06 Megapascal (Check conversion ​here)
FINAL ANSWER
2.09375E-06 2.1E-6 Megapascal <-- Hoop Stress on thick shell
(Calculation completed in 00.020 seconds)

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Stresses in Compound Thick Cylinders Calculators

Radius value 'x' for outer cylinder given hoop stress at radius x
​ LaTeX ​ Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Hoop Stress on thick shell-Constant 'a' for outer cylinder))
Radius value 'x' for outer cylinder given radial pressure at radius x
​ LaTeX ​ Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
Hoop stress at radius x for outer cylinder
​ LaTeX ​ Go Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)
Radial pressure at radius x for outer cylinder
​ LaTeX ​ Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)

Hoop Stress in compound cylinder due to internal fluid pressure alone Formula

​LaTeX ​Go
Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell
σθ = (B/(rcylindrical shell^2))+A

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 in compound cylinder due to internal fluid pressure alone?

Hoop Stress in compound cylinder due to internal fluid pressure alone calculator uses Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell to calculate the Hoop Stress on thick shell, The Hoop Stress in compound cylinder due to internal fluid pressure alone 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 σθ symbol.

How to calculate Hoop Stress in compound cylinder due to internal fluid pressure alone using this online calculator? To use this online calculator for Hoop Stress in compound cylinder due to internal fluid pressure alone, enter Constant B for Single Thick Shell (B), Radius Of Cylindrical Shell (rcylindrical shell) & Constant A for single thick shell (A) and hit the calculate button. Here is how the Hoop Stress in compound cylinder due to internal fluid pressure alone calculation can be explained with given input values -> 2.1E-12 = (6/(8^2))+2.

FAQ

What is Hoop Stress in compound cylinder due to internal fluid pressure alone?
The Hoop Stress in compound cylinder due to internal fluid pressure alone 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 σθ = (B/(rcylindrical shell^2))+A or Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell. Constant B for Single Thick Shell is the constant used in lame's equation in case of internal fluid pressure, Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve & Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.
How to calculate Hoop Stress in compound cylinder due to internal fluid pressure alone?
The Hoop Stress in compound cylinder due to internal fluid pressure alone 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 = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell. To calculate Hoop Stress in compound cylinder due to internal fluid pressure alone, you need Constant B for Single Thick Shell (B), Radius Of Cylindrical Shell (rcylindrical shell) & Constant A for single thick shell (A). With our tool, you need to enter the respective value for Constant B for Single Thick Shell, Radius Of Cylindrical Shell & Constant A for single 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 Hoop Stress on thick shell?
In this formula, Hoop Stress on thick shell uses Constant B for Single Thick Shell, Radius Of Cylindrical Shell & Constant A for single thick shell. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)
  • Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)
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