Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))
rcylindrical shell = sqrt(B/(Pv+A))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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 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.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
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
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion ​here)
Constant A for single thick shell: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rcylindrical shell = sqrt(B/(Pv+A)) --> sqrt(6/(14000+2))
Evaluating ... ...
rcylindrical shell = 0.0207004882267723
STEP 3: Convert Result to Output's Unit
0.0207004882267723 Meter -->20.7004882267723 Millimeter (Check conversion ​here)
FINAL ANSWER
20.7004882267723 20.70049 Millimeter <-- Radius Of Cylindrical Shell
(Calculation completed in 00.004 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)

Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone Formula

​LaTeX ​Go
Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))
rcylindrical shell = sqrt(B/(Pv+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 Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone?

Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone calculator uses Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell)) to calculate the Radius Of Cylindrical Shell, The Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius Of Cylindrical Shell is denoted by rcylindrical shell symbol.

How to calculate Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone using this online calculator? To use this online calculator for Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone, enter Constant B for Single Thick Shell (B), Radial Pressure (Pv) & Constant A for single thick shell (A) and hit the calculate button. Here is how the Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone calculation can be explained with given input values -> 20700.49 = sqrt(6/(14000+2)).

FAQ

What is Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone?
The Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as rcylindrical shell = sqrt(B/(Pv+A)) or Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+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, Radial Pressure is pressure towards or away from the central axis of a component & Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.
How to calculate Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone?
The Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell)). To calculate Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone, you need Constant B for Single Thick Shell (B), Radial Pressure (Pv) & Constant A for single thick shell (A). With our tool, you need to enter the respective value for Constant B for Single Thick Shell, Radial Pressure & 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 Radius Of Cylindrical Shell?
In this formula, Radius Of Cylindrical Shell uses Constant B for Single Thick Shell, Radial Pressure & Constant A for single thick shell. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
  • Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Hoop Stress on thick shell-Constant 'a' for outer cylinder))
  • Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
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