Radius value 'x' for inner cylinder given hoop stress at radius x Calculator

✖Constant 'b' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for inner cylinder [b₂]			+10% -10%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+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%

✖Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.ⓘ Radius value 'x' for inner cylinder given hoop stress at radius x [r_{cylindrical shell}]

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Formula

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Radius value 'x' for inner cylinder given hoop stress at radius x

Formula

`"r"_{"cylindrical shell"} = sqrt("b"_{"2"}/("σ"_{"θ"}-"a"_{"2"}))`

Example

`"50.03754mm"=sqrt("5"/("0.002MPa"-"3"))`

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Radius value 'x' for inner cylinder given hoop stress at radius x Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder))
r_{cylindrical shell} = sqrt(b₂/(σ_θ-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 Of Cylindrical Shell - (Measured in Meter) - Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.
Constant 'b' for inner cylinder - Constant 'b' for inner cylinder is defined as the constant used in lame's equation.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
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
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)
Constant 'a' for inner cylinder: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{cylindrical shell} = sqrt(b₂/(σ_θ-a₂)) --> sqrt(5/(2000-3))

Evaluating ... ...

r_{cylindrical shell} = 0.0500375422403037

STEP 3: Convert Result to Output's Unit

0.0500375422403037 Meter -->50.0375422403037 Millimeter (Check conversion here)

FINAL ANSWER

50.0375422403037 ≈ 50.03754 Millimeter <-- Radius Of Cylindrical Shell

(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 value 'x' for inner cylinder given hoop stress at radius x Formula

Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder))
r_{cylindrical shell} = sqrt(b₂/(σ_θ-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 value 'x' for inner cylinder given hoop stress at radius x?

Radius value 'x' for inner cylinder given hoop stress at radius x calculator uses Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder)) to calculate the Radius Of Cylindrical Shell, The Radius value 'x' for inner cylinder given hoop stress at radius x formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius Of Cylindrical Shell is denoted by r_{cylindrical shell} symbol.

How to calculate Radius value 'x' for inner cylinder given hoop stress at radius x using this online calculator? To use this online calculator for Radius value 'x' for inner cylinder given hoop stress at radius x, enter Constant 'b' for inner cylinder (b₂), Hoop Stress on thick shell (σ_θ) & Constant 'a' for inner cylinder (a₂) and hit the calculate button. Here is how the Radius value 'x' for inner cylinder given hoop stress at radius x calculation can be explained with given input values -> 50037.54 = sqrt(5/(2000-3)).

FAQ

What is Radius value 'x' for inner cylinder given hoop stress at radius x?

The Radius value 'x' for inner cylinder given hoop stress at radius x 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_{cylindrical shell} = sqrt(b₂/(σ_θ-a₂)) or Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder)). Constant 'b' for inner cylinder is defined as the constant used in lame's equation, Hoop Stress on thick shell is the circumferential stress in a cylinder & Constant 'a' for inner cylinder is defined as the constant used in lame's equation.

How to calculate Radius value 'x' for inner cylinder given hoop stress at radius x?

The Radius value 'x' for inner cylinder given hoop stress at radius x 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 Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder)). To calculate Radius value 'x' for inner cylinder given hoop stress at radius x, you need Constant 'b' for inner cylinder (b₂), Hoop Stress on thick shell (σ_θ) & Constant 'a' for inner cylinder (a₂). With our tool, you need to enter the respective value for Constant 'b' for inner cylinder, Hoop Stress on thick shell & 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 Of Cylindrical Shell?

In this formula, Radius Of Cylindrical Shell uses Constant 'b' for inner cylinder, Hoop Stress on thick shell & Constant 'a' for inner cylinder. We can use 5 other way(s) to calculate the same, which is/are as follows -

Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Hoop Stress on thick shell-Constant 'a' for outer cylinder))
Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))
Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell))

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