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

GoRadius at junction given radial pressure at junction and constants for inner radius Formula

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The Radius at Junction is the radius value at the junction of compound cylinders. Check FAQs

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

r_* - Radius at Junction?b₁ - Constant 'b' for outer cylinder?P_v - Radial Pressure?a₁ - Constant 'a' for outer cylinder?

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

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Here is how the Radius at junction of two cylinders given radial pressure at junction of two cylinders equation looks like with Values.

Here is how the Radius at junction of two cylinders given radial pressure at junction of two cylinders equation looks like with Units.

Here is how the Radius at junction of two cylinders given radial pressure at junction of two cylinders equation looks like.

42.2517 = \sqrt{\frac{25}{0.014 + 4}}

42.2517mm = \sqrt{\frac{25}{0.014MPa/m² + 4}}

42.2517 = \sqrt{\frac{25}{0.014 + 4}}

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

Follow our step by step solution on how to calculate Radius at junction of two cylinders given radial pressure at junction of two cylinders?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r * = \sqrt{\frac{25}{0.014MPa/m² + 4}}

Next Step Convert Units

∴

r * = \sqrt{\frac{25}{14000Pa/m² + 4}}

Next Step Prepare to Evaluate

∴

r * = \sqrt{\frac{25}{14000 + 4}}

Next Step Evaluate

∴

r * = 0.0422516772136162m

Next Step Convert to Output's Unit

∴

r * = 42.2516772136162mm

LAST Step Rounding Answer

∴

r * = 42.2517mm

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

Variables

Functions

Radius at Junction

The Radius at Junction is the radius value at the junction of compound cylinders.

Symbol: r_*

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius at Junction

Constant 'b' for outer cylinder

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

Symbol: b₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'b' for outer cylinder

Radial Pressure

Radial Pressure is pressure towards or away from the central axis of a component.

Symbol: P_v

Measurement: Radial PressureUnit: MPa/m²

Note: Value can be positive or negative.

Formulas to find Radial Pressure

Constant 'a' for outer cylinder

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

Symbol: a₁

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant 'a' for outer 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 at Junction

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

r * = \sqrt{\frac{b 2}{P v + 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 Radius value 'x' for outer cylinder given radial pressure at radius x

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

Go Hoop stress at radius x for outer cylinder

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

How to Evaluate Radius at junction of two cylinders given radial pressure at junction of two cylinders?

Radius at junction of two cylinders given radial pressure at junction of two cylinders evaluator uses Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder)) to evaluate the Radius at Junction, The Radius at junction of two cylinders given radial pressure at junction of two cylinders formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius at Junction is denoted by r_* symbol.

How to evaluate Radius at junction of two cylinders given radial pressure at junction of two cylinders using this online evaluator? To use this online evaluator for Radius at junction of two cylinders given radial pressure at junction of two cylinders, enter Constant 'b' for outer cylinder (b₁), Radial Pressure (P_v) & Constant 'a' for outer cylinder (a₁) and hit the calculate button.

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

What is the formula to find Radius at junction of two cylinders given radial pressure at junction of two cylinders?

The formula of Radius at junction of two cylinders given radial pressure at junction of two cylinders is expressed as Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder)). Here is an example- 42251.68 = sqrt(25/(14000+4)).

How to calculate Radius at junction of two cylinders given radial pressure at junction of two cylinders?

With Constant 'b' for outer cylinder (b₁), Radial Pressure (P_v) & Constant 'a' for outer cylinder (a₁) we can find Radius at junction of two cylinders given radial pressure at junction of two cylinders using the formula - Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder)). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Radius at Junction?

Here are the different ways to Calculate Radius at Junction-

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

Can the Radius at junction of two cylinders given radial pressure at junction of two cylinders be negative?

No, the Radius at junction of two cylinders given radial pressure at junction of two cylinders, measured in Length cannot be negative.

Which unit is used to measure Radius at junction of two cylinders given radial pressure at junction of two cylinders?

Radius at junction of two cylinders given radial pressure at junction of two cylinders is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius at junction of two cylinders given radial pressure at junction of two cylinders can be measured.

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

​GoRadius at junction given radial pressure at junction and constants for inner radius Formula

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

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

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

Other Formulas to find Radius at Junction

Other formulas in Stresses in Compound Thick Cylinders category

How to Evaluate Radius at junction of two cylinders given radial pressure at junction of two cylinders?

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

Variable Name

GoRadius at junction given radial pressure at junction and constants for inner radius Formula