Constant 'a' for outer cylinder given hoop stress at radius x and constant b 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%
✖Hoop Stress on thick shell is the circumferential stress in a cylinder.ⓘ Hoop Stress on thick shell [σ_θ]			+10% -10%

✖Constant 'a' for outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for outer cylinder given hoop stress at radius x and constant b [a₁]

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Constant 'a' for outer cylinder given hoop stress at radius x and constant b Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Constant 'a' for outer cylinder - Constant 'a' for outer cylinder is defined as the constant used in lame's equation.
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.
Hoop Stress on thick shell - (Measured in Pascal) - Hoop Stress on thick shell is the circumferential stress in a cylinder.

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)
Hoop Stress on thick shell: 0.002 Megapascal --> 2000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₁ = -(b₁/(r_{cylindrical shell}^2))+σ_θ --> -(25/(8^2))+2000

Evaluating ... ...

a₁ = 1999.609375

STEP 3: Convert Result to Output's Unit

1999.609375 --> No Conversion Required

FINAL ANSWER

1999.609375 ≈ 1999.609 <-- Constant 'a' for outer cylinder

(Calculation completed in 00.004 seconds)

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< Stress Constants in Compound Thick Cylinder Calculators

Constant 'a' for outer cylinder given hoop stress at radius x and constant b

LaTeX Go Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell

Constant 'a' for outer cylinder given hoop stress at radius x

LaTeX Go Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell

Constant 'a' for outer cylinder given radial pressure at radius x

LaTeX Go Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure

Constant 'b' for outer cylinder given radial pressure at radius x

LaTeX Go Constant 'b' for outer cylinder = (Radial Pressure+Constant 'a' for outer cylinder)*(Radius Of Cylindrical Shell^2)

Constant 'a' for outer cylinder given hoop stress at radius x and constant b Formula

LaTeX Go

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

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 Constant 'a' for outer cylinder given hoop stress at radius x and constant b?

Constant 'a' for outer cylinder given hoop stress at radius x and constant b calculator uses Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell to calculate the Constant 'a' for outer cylinder, The Constant 'a' for outer cylinder given hoop stress at radius x and constant b formula is defined as the constant used in lame's equation for the thick compound cylinder. Constant 'a' for outer cylinder is denoted by a₁ symbol.

How to calculate Constant 'a' for outer cylinder given hoop stress at radius x and constant b using this online calculator? To use this online calculator for Constant 'a' for outer cylinder given hoop stress at radius x and constant b, enter Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Hoop Stress on thick shell (σ_θ) and hit the calculate button. Here is how the Constant 'a' for outer cylinder given hoop stress at radius x and constant b calculation can be explained with given input values -> 1999.609 = -(25/(8^2))+2000.

FAQ

What is Constant 'a' for outer cylinder given hoop stress at radius x and constant b?

The Constant 'a' for outer cylinder given hoop stress at radius x and constant b formula is defined as the constant used in lame's equation for the thick compound cylinder and is represented as a₁ = -(b₁/(r_{cylindrical shell}^2))+σ_θ or Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell. 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 & Hoop Stress on thick shell is the circumferential stress in a cylinder.

How to calculate Constant 'a' for outer cylinder given hoop stress at radius x and constant b?

The Constant 'a' for outer cylinder given hoop stress at radius x and constant b formula is defined as the constant used in lame's equation for the thick compound cylinder is calculated using Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell. To calculate Constant 'a' for outer cylinder given hoop stress at radius x and constant b, you need Constant 'b' for outer cylinder (b₁), Radius Of Cylindrical Shell (r_{cylindrical shell}) & Hoop Stress on thick shell (σ_θ). With our tool, you need to enter the respective value for Constant 'b' for outer cylinder, Radius Of Cylindrical Shell & Hoop Stress on thick shell 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 Constant 'a' for outer cylinder?

In this formula, Constant 'a' for outer cylinder uses Constant 'b' for outer cylinder, Radius Of Cylindrical Shell & Hoop Stress on thick shell. We can use 3 other way(s) to calculate the same, which is/are as follows -

Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure
Constant 'a' for outer cylinder = -(Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell
Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure

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