Hoop stress at radius x for outer cylinder Calculator

✖Constant 'b' for outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for outer cylinder [b₁]			+10% -10%
✖Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve.ⓘ Radius Of Cylindrical Shell [r_{cylindrical shell}]			+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%

✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop stress at radius x for outer cylinder [σ_θ]

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Formula

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Hoop stress at radius x for outer cylinder

Formula

`"σ"_{"θ"} = ("b"_{"1"}/("r"_{"cylindrical shell"}^2))+("a"_{"1"})`

Example

`"4.4E^-6MPa"=("25"/(("8000mm")^2))+("4")`

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Hoop stress at radius x for outer cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)
σ_θ = (b₁/(r_{cylindrical shell}^2))+(a₁)
This formula uses 4 Variables

Variables Used

Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.
Constant 'b' for outer cylinder - Constant 'b' for outer cylinder is defined as the constant used in lame's equation.
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 '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
Radius Of Cylindrical Shell: 8000 Millimeter --> 8 Meter (Check conversion here)
Constant 'a' for outer cylinder: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = (b₁/(r_{cylindrical shell}^2))+(a₁) --> (25/(8^2))+(4)

Evaluating ... ...

σ_θ = 4.390625

STEP 3: Convert Result to Output's Unit

4.390625 Pascal -->4.390625E-06 Megapascal (Check conversion here)

FINAL ANSWER

4.390625E-06 ≈ 4.4E-6 Megapascal <-- Hoop Stress on thick 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)

Hoop stress at radius x for outer cylinder Formula

Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)
σ_θ = (b₁/(r_{cylindrical shell}^2))+(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 Hoop stress at radius x for outer cylinder?

Hoop stress at radius x for outer cylinder calculator uses Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder) to calculate the Hoop Stress on thick shell, The Hoop stress at radius x for outer cylinder formula is defined as force over area exerted circumferentially (perpendicular to axis and radius of object) in both directions on every particle in cylinder wall. Hoop Stress on thick shell is denoted by σ_θ symbol.

How to calculate Hoop stress at radius x for outer cylinder using this online calculator? To use this online calculator for Hoop stress at radius x for outer cylinder, enter Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Constant 'a' for outer cylinder (a₁) and hit the calculate button. Here is how the Hoop stress at radius x for outer cylinder calculation can be explained with given input values -> 4.4E-12 = (25/(8^2))+(4).

FAQ

What is Hoop stress at radius x for outer cylinder?

The Hoop stress at radius x for outer cylinder formula is defined as force over area exerted circumferentially (perpendicular to axis and radius of object) in both directions on every particle in cylinder wall and is represented as σ_θ = (b₁/(r_{cylindrical shell}^2))+(a₁) or Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder). Constant 'b' for outer cylinder is defined as the constant used in lame's equation, Radius Of Cylindrical Shell is a radial line from the focus to any point of a curve & Constant 'a' for outer cylinder is defined as the constant used in lame's equation.

How to calculate Hoop stress at radius x for outer cylinder?

The Hoop stress at radius x for outer cylinder formula is defined as force over area exerted circumferentially (perpendicular to axis and radius of object) in both directions on every particle in cylinder wall is calculated using Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder). To calculate Hoop stress at radius x for outer cylinder, you need Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Constant 'a' for outer cylinder (a₁). With our tool, you need to enter the respective value for Constant 'b' for outer cylinder, Radius Of Cylindrical Shell & 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 Hoop Stress on thick shell?

In this formula, Hoop Stress on thick shell uses Constant 'b' for outer cylinder, Radius Of Cylindrical Shell & Constant 'a' for outer cylinder. We can use 2 other way(s) to calculate the same, which is/are as follows -

Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)
Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell

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