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

GoRadius value 'x' for outer cylinder given radial pressure at radius x Formula

GoRadius value 'x' for outer cylinder given hoop stress at radius x Formula

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Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve. Check FAQs

r cylindrical shell = \sqrt{\frac{B}{σ θ - A}}

r_{cylindrical shell} - Radius Of Cylindrical Shell?B - Constant B for Single Thick Shell?σ_θ - Hoop Stress on thick shell?A - Constant A for single thick shell?

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

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Here is how the Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone equation looks like with Values.

Here is how the Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone equation looks like with Units.

Here is how the Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone equation looks like.

54.7997 = \sqrt{\frac{6}{0.002 - 2}}

54.7997mm = \sqrt{\frac{6}{0.002MPa - 2}}

54.7997 = \sqrt{\frac{6}{0.002 - 2}}

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

Follow our step by step solution on how to calculate Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone?

FIRST Step Consider the formula

r cylindrical shell = \sqrt{\frac{B}{σ θ - A}}

Next Step Substitute values of Variables

∴

r cylindrical shell = \sqrt{\frac{6}{0.002MPa - 2}}

Next Step Convert Units

∴

r cylindrical shell = \sqrt{\frac{6}{2000Pa - 2}}

Next Step Prepare to Evaluate

∴

r cylindrical shell = \sqrt{\frac{6}{2000 - 2}}

Next Step Evaluate

∴

r cylindrical shell = 0.0547996624351191m

Next Step Convert to Output's Unit

∴

r cylindrical shell = 54.7996624351191mm

LAST Step Rounding Answer

∴

r cylindrical shell = 54.7997mm

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

Variables

Functions

Radius Of Cylindrical Shell

Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.

Symbol: r_{cylindrical shell}

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius Of Cylindrical Shell

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.

Symbol: B

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant B for Single Thick Shell

Hoop Stress on thick shell

Hoop Stress on thick shell is the circumferential stress in a cylinder.

Symbol: σ_θ

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Hoop Stress on thick shell

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.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant A for single thick shell

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.

Syntax: sqrt(Number)

Other Formulas to find Radius Of Cylindrical Shell

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

r cylindrical shell = \sqrt{\frac{b 1}{P v + a 1}}

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

r cylindrical shell = \sqrt{\frac{b 1}{σ θ - a 1}}

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

r cylindrical shell = \sqrt{\frac{b 2}{P v + a 2}}

Go Radius value 'x' for inner cylinder given hoop stress at radius x

r cylindrical shell = \sqrt{\frac{b 2}{σ θ - a 2}}

Other formulas in Stresses in Compound Thick Cylinders category

Go Radial pressure at radius x for outer cylinder

P v = (\frac{b 1}{{r cylindrical shell}^{2}}) - (a 1)

Go Hoop stress at radius x for outer cylinder

σ θ = (\frac{b 1}{{r cylindrical shell}^{2}}) + (a 1)

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

r * = \sqrt{\frac{b 1}{P v + a 1}}

Go Radial pressure at radius 'x' for inner cylinder

P v = (\frac{b 2}{{r cylindrical shell}^{2}}) - (a 2)

How to Evaluate 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 evaluator uses Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell)) to evaluate 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 evaluate Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone using this online evaluator? To use this online evaluator 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.

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

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

The formula of Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone is expressed as Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell)). Here is an example- 54799.66 = sqrt(6/(2000-2)).

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

With Constant B for Single Thick Shell (B), Hoop Stress on thick shell (σ_θ) & Constant A for single thick shell (A) we can find Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone using the formula - Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Radius Of Cylindrical Shell?

Here are the different ways to Calculate Radius Of Cylindrical Shell-

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))

Can the Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone be negative?

No, the Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone can be measured.

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