Hoop stress at radius x for inner cylinder Calculator

✖Constant 'b' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for inner cylinder [b₂]			+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 inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for inner cylinder [a₂]			+10% -10%

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

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Hoop stress at radius x for inner cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)
σ_θ = (b₂/(r_{cylindrical shell}^2))+(a₂)
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 inner cylinder - Constant 'b' for inner 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 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
Radius Of Cylindrical Shell: 8000 Millimeter --> 8 Meter (Check conversion here)
Constant 'a' for inner cylinder: 3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_θ = (b₂/(r_{cylindrical shell}^2))+(a₂) --> (5/(8^2))+(3)

Evaluating ... ...

σ_θ = 3.078125

STEP 3: Convert Result to Output's Unit

3.078125 Pascal -->3.078125E-06 Megapascal (Check conversion here)

FINAL ANSWER

3.078125E-06 ≈ 3.1E-6 Megapascal <-- Hoop Stress on thick shell

(Calculation completed in 00.004 seconds)

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Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Stresses in Compound Thick Cylinders » Hoop stress at radius x for inner cylinder

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< 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)

Hoop stress at radius x for inner cylinder Formula

LaTeX Go

Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)
σ_θ = (b₂/(r_{cylindrical shell}^2))+(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 Hoop stress at radius x for inner cylinder?

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

How to calculate Hoop stress at radius x for inner cylinder using this online calculator? To use this online calculator for Hoop stress at radius x for inner cylinder, enter Constant 'b' for inner cylinder (b₂), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Constant 'a' for inner cylinder (a₂) and hit the calculate button. Here is how the Hoop stress at radius x for inner cylinder calculation can be explained with given input values -> 3.1E-12 = (5/(8^2))+(3).

FAQ

What is Hoop stress at radius x for inner cylinder?

The Hoop stress at radius x for inner cylinder formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall and is represented as σ_θ = (b₂/(r_{cylindrical shell}^2))+(a₂) or Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder). Constant 'b' for inner 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 inner cylinder is defined as the constant used in lame's equation.

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

The Hoop stress at radius x for inner cylinder formula is defined as the force over area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall is calculated using Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder). To calculate Hoop stress at radius x for inner cylinder, you need Constant 'b' for inner cylinder (b₂), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Constant 'a' for inner cylinder (a₂). With our tool, you need to enter the respective value for Constant 'b' for inner cylinder, Radius Of Cylindrical 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 Hoop Stress on thick shell?

In this formula, Hoop Stress on thick shell uses Constant 'b' for inner cylinder, Radius Of Cylindrical Shell & Constant 'a' for inner 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 outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer 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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