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

STEP 0: Pre-Calculation Summary
Formula Used
Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
r* = sqrt(b1/(Pv+a1))
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 outer cylinder - Constant 'b' for outer 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 outer cylinder - Constant 'a' for outer cylinder is defined as the constant used in lame's equation.
STEP 1: Convert Input(s) to Base Unit
Constant 'b' for outer cylinder: 25 --> No Conversion Required
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion ​here)
Constant 'a' for outer cylinder: 4 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r* = sqrt(b1/(Pv+a1)) --> sqrt(25/(14000+4))
Evaluating ... ...
r* = 0.0422516772136162
STEP 3: Convert Result to Output's Unit
0.0422516772136162 Meter -->42.2516772136162 Millimeter (Check conversion ​here)
FINAL ANSWER
42.2516772136162 42.25168 Millimeter <-- Radius at Junction
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Payal Priya
Birsa Institute of Technology (BIT), Sindri
Payal Priya has verified this Calculator and 1900+ more calculators!

Stresses in Compound Thick Cylinders Calculators

Radius value 'x' for outer cylinder given hoop stress at radius x
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)

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

​LaTeX ​Go
Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
r* = sqrt(b1/(Pv+a1))

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 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 calculator uses Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder)) to calculate 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 calculate Radius at junction of two cylinders given radial pressure at junction of two cylinders using this online calculator? To use this online calculator for Radius at junction of two cylinders given radial pressure at junction of two cylinders, enter Constant 'b' for outer cylinder (b1), Radial Pressure (Pv) & Constant 'a' for outer cylinder (a1) and hit the calculate button. Here is how the Radius at junction of two cylinders given radial pressure at junction of two cylinders calculation can be explained with given input values -> 42251.68 = sqrt(25/(14000+4)).

FAQ

What is Radius at junction of two cylinders given radial pressure at junction of two cylinders?
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 and is represented as r* = sqrt(b1/(Pv+a1)) or Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder)). Constant 'b' for outer 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 outer cylinder is defined as the constant used in lame's equation.
How to calculate Radius at junction of two cylinders given radial pressure at junction of two cylinders?
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 is calculated using Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder)). To calculate Radius at junction of two cylinders given radial pressure at junction of two cylinders, you need Constant 'b' for outer cylinder (b1), Radial Pressure (Pv) & Constant 'a' for outer cylinder (a1). With our tool, you need to enter the respective value for Constant 'b' for outer cylinder, Radial Pressure & Constant 'a' for outer 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 outer cylinder, Radial Pressure & Constant 'a' for outer cylinder. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!