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

✖Constant B for Single Thick Shell is the constant used in lame's equation in case of internal fluid pressure.ⓘ Constant B for Single Thick Shell [B]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.ⓘ Constant A for single thick shell [A]			+10% -10%

✖Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.ⓘ Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone [r_{cylindrical shell}]

⎘ Copy

👎

Formula

✖

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

Formula

`"r"_{"cylindrical shell"} = sqrt("B"/("P"_{"v"}+"A"))`

Example

`"20.70049mm"=sqrt("6"/("0.014MPa/m²"+"2"))`

Calculator

LaTeX

Reset

👍

Download Strength of Materials Formula PDF

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))
r_{cylindrical shell} = sqrt(B/(P_v+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

r_{cylindrical shell} = sqrt(B/(P_v+A)) --> sqrt(6/(14000+2))

Evaluating ... ...

r_{cylindrical 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 00.021 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Stresses in Compound Thick Cylinders » Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone

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!

< 21 Stresses in Compound Thick Cylinders Calculators

Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone

Go Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell))

Radius value 'x' for outer cylinder given hoop stress at radius x

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 inner cylinder given hoop stress at radius x

Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder))

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

Go Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))

Inner radius of compound cylinder given internal fluid pressure

Go Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell))

Radius value 'x' for outer cylinder given radial pressure at radius x

Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))

Radius value 'x' for inner cylinder given radial pressure at radius x

Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))

Radius at junction of two cylinders given radial pressure at junction of two cylinders

Go Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))

Radius at junction given radial pressure at junction and constants for inner radius

Go Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))

Hoop Stress in compound cylinder due to internal fluid pressure alone

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

Hoop stress at radius x for outer cylinder

Go Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)

Hoop stress at radius x for inner cylinder

Go Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)

Radial pressure in compound cylinder due to internal fluid pressure alone

Go Radial Pressure = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))-Constant A for single thick shell

Internal fluid pressure given constants for single thick shell in compound cylinder

Go Internal Pressure = (Constant B for Single Thick Shell/(Inner Radius of Cylinder^2))-Constant A for single thick shell

Radial pressure at radius 'x' for inner cylinder

Go Radial Pressure = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for inner cylinder)

Radial pressure at radius x for outer cylinder

Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)

Radial pressure at junction given constants 'a' and 'b' for outer cylinder

Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius at Junction^2))-(Constant 'a' for outer cylinder)

Radial pressure at junction of compound cylinder given constant and b for inner cylinder

Go Radial Pressure = (Constant 'b' for inner cylinder/(Radius at Junction^2))-Constant 'a' for inner cylinder

Outer radius of compound cylinder given constants A and B for single thick shell

Go Outer Radius of Cylinder = sqrt(Constant B for Single Thick Shell/Constant A for single thick shell)

Outer radius of compound cylinder given constants and b for outer cylinder

Go Outer Radius of Cylinder = sqrt(Constant 'b' for outer cylinder/Constant 'a' for outer cylinder)

Outer radius of compound cylinder given constants and b for inner cylinder

Go Outer Radius of Cylinder = sqrt(Constant 'b' for inner cylinder/Constant 'a' for inner cylinder)

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

Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))
r_{cylindrical shell} = sqrt(B/(P_v+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 r_{cylindrical 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 (P_v) & 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 r_{cylindrical shell} = sqrt(B/(P_v+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 (P_v) & 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 5 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))
Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder))
Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell))

Home

FREE PDFs

🔍 Search