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

✖Constant 'b' for outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for outer cylinder [b₁]			+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 outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for outer cylinder [a₁]			+10% -10%

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

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Formula

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

Formula

`"r"_{"*"} = sqrt("b"_{"1"}/("P"_{"v"}+"a"_{"1"}))`

Example

`"42.25168mm"=sqrt("25"/("0.014MPa/m²"+"4"))`

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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/(P_v+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/(P_v+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)

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Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Stresses in Compound Thick Cylinders » Radius at junction of two cylinders given radial pressure at junction of two cylinders

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

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

Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
r_* = sqrt(b₁/(P_v+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 (P_v) & 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/(P_v+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 (P_v) & 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))

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