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

✖Constant 'b' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for inner cylinder [b₂]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%
✖Constant 'a' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for inner cylinder [a₂]			+10% -10%

✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at junction given radial pressure at junction and constants for inner radius [r_*]

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Formula

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

Formula

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

Example

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

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
r_* = sqrt(b₂/(P_v+a₂))
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 at Junction - (Measured in Meter) - The Radius at Junction is the radius value at the junction of compound cylinders.
Constant 'b' for inner cylinder - Constant 'b' for inner cylinder is defined as the constant used in lame's equation.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Constant 'a' for inner cylinder - Constant 'a' for inner cylinder is defined as the constant used in lame's equation.

STEP 1: Convert Input(s) to Base Unit

Constant 'b' for inner cylinder: 5 --> No Conversion Required
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Constant 'a' for inner cylinder: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_* = sqrt(b₂/(P_v+a₂)) --> sqrt(5/(14000+3))

Evaluating ... ...

r_* = 0.0188961991661423

STEP 3: Convert Result to Output's Unit

0.0188961991661423 Meter -->18.8961991661423 Millimeter (Check conversion here)

FINAL ANSWER

18.8961991661423 ≈ 18.8962 Millimeter <-- Radius at Junction

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Stresses in Compound Thick Cylinders » Radius at junction given radial pressure at junction and constants for inner radius

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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

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

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

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

Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)

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

Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
r_* = sqrt(b₂/(P_v+a₂))

What is radial stress in cylinder?

The radial stress for a thick-walled cylinder is equal and opposite to the gauge pressure on the inside surface, and zero on the outside surface. The circumferential stress and longitudinal stresses are usually much larger for pressure vessels, and so for thin-walled instances, radial stress is usually neglected.

How to Calculate 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 calculator uses Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder)) to calculate 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 calculate Radius at junction given radial pressure at junction and constants for inner radius using this online calculator? To use this online calculator 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. Here is how the Radius at junction given radial pressure at junction and constants for inner radius calculation can be explained with given input values -> 18896.2 = sqrt(5/(14000+3)).

FAQ

What is Radius at junction given radial pressure at junction and constants for inner radius?

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 and is represented as r_* = sqrt(b₂/(P_v+a₂)) or Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder)). Constant 'b' for inner cylinder is defined as the constant used in lame's equation, Radial Pressure is pressure towards or away from the central axis of a component & Constant 'a' for inner cylinder is defined as the constant used in lame's equation.

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

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 is calculated using Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder)). To calculate Radius at junction given radial pressure at junction and constants for inner radius, you need Constant 'b' for inner cylinder (b₂), Radial Pressure (P_v) & Constant 'a' for inner cylinder (a₂). With our tool, you need to enter the respective value for Constant 'b' for inner cylinder, Radial Pressure & Constant 'a' for inner cylinder 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 at Junction?

In this formula, Radius at Junction uses Constant 'b' for inner cylinder, Radial Pressure & Constant 'a' for inner cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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