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/(Pv+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/(Pv+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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21 Stresses in Compound Thick Cylinders Calculators

Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone
Go Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell))
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 inner cylinder given hoop stress at radius x
Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder))
Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone
Go Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))
Inner radius of compound cylinder given internal fluid pressure
Go Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell))
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))
Radius value 'x' for inner cylinder given radial pressure at radius x
Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
Radius at junction of two cylinders given radial pressure at junction of two cylinders
Go Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
Radius at junction given radial pressure at junction and constants for inner radius
Go Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
Hoop Stress in compound cylinder due to internal fluid pressure alone
Go Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell
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)
Hoop stress at radius x for inner cylinder
Go Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)
Radial pressure in compound cylinder due to internal fluid pressure alone
Go Radial Pressure = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))-Constant A for single thick shell
Internal fluid pressure given constants for single thick shell in compound cylinder
Go Internal Pressure = (Constant B for Single Thick Shell/(Inner Radius of Cylinder^2))-Constant A for single thick shell
Radial pressure at radius 'x' for inner cylinder
Go Radial Pressure = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for inner 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)
Radial pressure at junction given constants 'a' and 'b' for outer cylinder
Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius at Junction^2))-(Constant 'a' for outer cylinder)
Radial pressure at junction of compound cylinder given constant and b for inner cylinder
Go Radial Pressure = (Constant 'b' for inner cylinder/(Radius at Junction^2))-Constant 'a' for inner cylinder
Outer radius of compound cylinder given constants A and B for single thick shell
Go Outer Radius of Cylinder = sqrt(Constant B for Single Thick Shell/Constant A for single thick shell)
Outer radius of compound cylinder given constants and b for outer cylinder
Go Outer Radius of Cylinder = sqrt(Constant 'b' for outer cylinder/Constant 'a' for outer cylinder)
Outer radius of compound cylinder given constants and b for inner cylinder
Go Outer Radius of Cylinder = sqrt(Constant 'b' for inner cylinder/Constant 'a' for inner 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/(Pv+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 (Pv) & 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/(Pv+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 (Pv) & 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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