Radius 'x' for single thick shell given hoop stress 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%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+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 hoop stress due to internal fluid pressure alone [r_{cylindrical shell}]

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Radius 'x' for single thick shell given hoop stress 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/(Hoop Stress on thick shell-Constant A for single thick shell))
r_{cylindrical shell} = sqrt(B/(σ_θ-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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (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/(σ_θ-A)) --> sqrt(6/(2000-2))

Evaluating ... ...

r_{cylindrical shell} = 0.0547996624351191

STEP 3: Convert Result to Output's Unit

0.0547996624351191 Meter -->54.7996624351191 Millimeter (Check conversion here)

FINAL ANSWER

54.7996624351191 ≈ 54.79966 Millimeter <-- Radius Of Cylindrical Shell

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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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 hoop stress due to internal fluid pressure alone Formula

LaTeX Go

Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell))
r_{cylindrical shell} = sqrt(B/(σ_θ-A))

What is meant by hoop stress?

The hoop stress is 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.

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

Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone calculator uses Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell)) to calculate the Radius Of Cylindrical Shell, The Radius 'x' for single thick shell given hoop stress 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 hoop stress due to internal fluid pressure alone using this online calculator? To use this online calculator for Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone, enter Constant B for Single Thick Shell (B), Hoop Stress on thick shell (σ_θ) & Constant A for single thick shell (A) and hit the calculate button. Here is how the Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone calculation can be explained with given input values -> 54799.66 = sqrt(6/(2000-2)).

FAQ

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

The Radius 'x' for single thick shell given hoop stress 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/(σ_θ-A)) or Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-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, Hoop Stress on thick shell is the circumferential stress in a cylinder & 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 hoop stress due to internal fluid pressure alone?

The Radius 'x' for single thick shell given hoop stress 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/(Hoop Stress on thick shell-Constant A for single thick shell)). To calculate Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone, you need Constant B for Single Thick Shell (B), Hoop Stress on thick shell (σ_θ) & Constant A for single thick shell (A). With our tool, you need to enter the respective value for Constant B for Single Thick Shell, Hoop Stress on thick 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 Radius Of Cylindrical Shell?

In this formula, Radius Of Cylindrical Shell uses Constant B for Single Thick Shell, Hoop Stress on thick shell & 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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