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

GoRadius at junction of two cylinders given radial pressure at junction of two cylinders 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 2}{P v + a 2}}

r_* - Radius at Junction?b₂ - Constant 'b' for inner cylinder?P_v - Radial Pressure?a₂ - Constant 'a' for inner cylinder?

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

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Here is how the Radius at junction given radial pressure at junction and constants for inner radius equation looks like with Values.

Here is how the Radius at junction given radial pressure at junction and constants for inner radius equation looks like with Units.

Here is how the Radius at junction given radial pressure at junction and constants for inner radius equation looks like.

18.8962 = \sqrt{\frac{5}{0.014 + 3}}

18.8962mm = \sqrt{\frac{5}{0.014MPa/m² + 3}}

18.8962 = \sqrt{\frac{5}{0.014 + 3}}

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

Follow our step by step solution on how to calculate Radius at junction given radial pressure at junction and constants for inner radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r * = \sqrt{\frac{5}{0.014MPa/m² + 3}}

Next Step Convert Units

∴

r * = \sqrt{\frac{5}{14000Pa/m² + 3}}

Next Step Prepare to Evaluate

∴

r * = \sqrt{\frac{5}{14000 + 3}}

Next Step Evaluate

∴

r * = 0.0188961991661423m

Next Step Convert to Output's Unit

∴

r * = 18.8961991661423mm

LAST Step Rounding Answer

∴

r * = 18.8962mm

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

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 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 at Junction

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

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

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 given radial pressure at junction and constants for inner radius?

Radius at junction given radial pressure at junction and constants for inner radius evaluator uses Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder)) to evaluate the Radius at Junction, The Radius at junction given radial pressure at junction and constants for inner radius 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 given radial pressure at junction and constants for inner radius using this online evaluator? To use this online evaluator for Radius at junction given radial pressure at junction and constants for inner radius, enter Constant 'b' for inner cylinder (b₂), Radial Pressure (P_v) & Constant 'a' for inner cylinder (a₂) and hit the calculate button.

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

What is the formula to find Radius at junction given radial pressure at junction and constants for inner radius?

The formula of Radius at junction given radial pressure at junction and constants for inner radius is expressed as Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder)). Here is an example- 18896.2 = sqrt(5/(14000+3)).

How to calculate Radius at junction given radial pressure at junction and constants for inner radius?

With Constant 'b' for inner cylinder (b₂), Radial Pressure (P_v) & Constant 'a' for inner cylinder (a₂) we can find Radius at junction given radial pressure at junction and constants for inner radius using the formula - Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder)). This formula also uses Square Root (sqrt) 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 outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))

Can the Radius at junction given radial pressure at junction and constants for inner radius be negative?

No, the Radius at junction given radial pressure at junction and constants for inner radius, measured in Length cannot be negative.

Which unit is used to measure Radius at junction given radial pressure at junction and constants for inner radius?

Radius at junction given radial pressure at junction and constants for inner radius 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 given radial pressure at junction and constants for inner radius can be measured.

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

​GoRadius at junction of two cylinders given radial pressure at junction of two cylinders Formula

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

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

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

Other Formulas to find Radius at Junction

Other formulas in Stresses in Compound Thick Cylinders category

How to Evaluate Radius at junction given radial pressure at junction and constants for inner radius?

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

Variable Name

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