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Radius value 'x' for inner cylinder given hoop stress at radius x 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 2}{σ θ - a 2}}

r_{cylindrical shell} - Radius Of Cylindrical Shell?b₂ - Constant 'b' for inner cylinder?σ_θ - Hoop Stress on thick shell?a₂ - Constant 'a' for inner cylinder?

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

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Here is how the Radius value 'x' for inner cylinder given hoop stress at radius x equation looks like with Values.

Here is how the Radius value 'x' for inner cylinder given hoop stress at radius x equation looks like with Units.

Here is how the Radius value 'x' for inner cylinder given hoop stress at radius x equation looks like.

50.0375 = \sqrt{\frac{5}{0.002 - 3}}

50.0375mm = \sqrt{\frac{5}{0.002MPa - 3}}

50.0375 = \sqrt{\frac{5}{0.002 - 3}}

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Strength of Materials » fx Radius value 'x' for inner cylinder given hoop stress at radius x

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

Follow our step by step solution on how to calculate Radius value 'x' for inner cylinder given hoop stress at radius x?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r cylindrical shell = \sqrt{\frac{5}{0.002MPa - 3}}

Next Step Convert Units

∴

r cylindrical shell = \sqrt{\frac{5}{2000Pa - 3}}

Next Step Prepare to Evaluate

∴

r cylindrical shell = \sqrt{\frac{5}{2000 - 3}}

Next Step Evaluate

∴

r cylindrical shell = 0.0500375422403037m

Next Step Convert to Output's Unit

∴

r cylindrical shell = 50.0375422403037mm

LAST Step Rounding Answer

∴

r cylindrical shell = 50.0375mm

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

Constant 'b' for inner cylinder is defined as the constant used in lame's equation.

Symbol: b₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'b' for inner cylinder

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 inner cylinder

Constant 'a' for inner cylinder is defined as the constant used in lame's equation.

Symbol: a₂

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'a' for inner cylinder

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

r cylindrical shell = \sqrt{\frac{B}{P v + A}}

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 value 'x' for inner cylinder given hoop stress at radius x?

Radius value 'x' for inner cylinder given hoop stress at radius x evaluator uses Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder)) to evaluate the Radius Of Cylindrical Shell, The Radius value 'x' for inner cylinder given hoop stress at radius x 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 value 'x' for inner cylinder given hoop stress at radius x using this online evaluator? To use this online evaluator for Radius value 'x' for inner cylinder given hoop stress at radius x, enter Constant 'b' for inner cylinder (b₂), Hoop Stress on thick shell (σ_θ) & Constant 'a' for inner cylinder (a₂) and hit the calculate button.

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

What is the formula to find Radius value 'x' for inner cylinder given hoop stress at radius x?

The formula of Radius value 'x' for inner cylinder given hoop stress at radius x is expressed as Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder)). Here is an example- 50037.54 = sqrt(5/(2000-3)).

How to calculate Radius value 'x' for inner cylinder given hoop stress at radius x?

With Constant 'b' for inner cylinder (b₂), Hoop Stress on thick shell (σ_θ) & Constant 'a' for inner cylinder (a₂) we can find Radius value 'x' for inner cylinder given hoop stress at radius x using the formula - Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder)). 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 value 'x' for inner cylinder given hoop stress at radius x be negative?

No, the Radius value 'x' for inner cylinder given hoop stress at radius x, measured in Length cannot be negative.

Which unit is used to measure Radius value 'x' for inner cylinder given hoop stress at radius x?

Radius value 'x' for inner cylinder given hoop stress at radius x is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius value 'x' for inner cylinder given hoop stress at radius x can be measured.

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