Constant 'a' 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%
✖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 inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for inner cylinder given hoop stress at radius x [a₂]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Strength of Materials Formula PDF PDF Image

Constant 'a' for inner cylinder given hoop stress at radius x Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell
a₂ = -(b₂/(r_{cylindrical shell}^2))+σ_θ
This formula uses 4 Variables

Variables Used

Constant 'a' for inner cylinder - Constant 'a' for inner cylinder is defined as the constant used in lame's equation.
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.
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 inner cylinder: 5 --> 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

a₂ = -(b₂/(r_{cylindrical shell}^2))+σ_θ --> -(5/(8^2))+2000

Evaluating ... ...

a₂ = 1999.921875

STEP 3: Convert Result to Output's Unit

1999.921875 --> No Conversion Required

FINAL ANSWER

1999.921875 ≈ 1999.922 <-- Constant 'a' for inner cylinder

(Calculation completed in 00.006 seconds)

You are here -

Home » Physics » Strength of Materials » Thick Cylinders And Spheres » Mechanical » Stress Constants in Compound Thick Cylinder » Constant 'a' for inner cylinder given hoop stress at radius x

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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 inner cylinder given hoop stress at radius x Formula

LaTeX Go

Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell
a₂ = -(b₂/(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 inner cylinder given hoop stress at radius x?

Constant 'a' for inner cylinder given hoop stress at radius x calculator uses Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell to calculate the Constant 'a' for inner cylinder, The Constant 'a' for inner cylinder given hoop stress at radius x formula is defined as the constant used in lame's equation for the thick compound cylinder. Constant 'a' for inner cylinder is denoted by a₂ symbol.

How to calculate Constant 'a' for inner cylinder given hoop stress at radius x using this online calculator? To use this online calculator for Constant 'a' for inner cylinder given hoop stress at radius x, enter Constant 'b' for inner cylinder (b₂), 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 inner cylinder given hoop stress at radius x calculation can be explained with given input values -> 1999.922 = -(5/(8^2))+2000.

FAQ

What is Constant 'a' for inner cylinder given hoop stress at radius x?

The Constant 'a' for inner cylinder given hoop stress at radius x formula is defined as the constant used in lame's equation for the thick compound cylinder and is represented as a₂ = -(b₂/(r_{cylindrical shell}^2))+σ_θ or Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell. 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 & Hoop Stress on thick shell is the circumferential stress in a cylinder.

How to calculate Constant 'a' for inner cylinder given hoop stress at radius x?

The Constant 'a' for inner cylinder given hoop stress at radius x formula is defined as the constant used in lame's equation for the thick compound cylinder is calculated using Constant 'a' for inner cylinder = -(Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell. To calculate Constant 'a' for inner cylinder given hoop stress at radius x, you need Constant 'b' for inner cylinder (b₂), 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 inner 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 inner cylinder?

In this formula, Constant 'a' for inner cylinder uses Constant 'b' for inner 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 inner cylinder = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))-Radial Pressure
Constant 'a' for inner cylinder = Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2)
Constant 'a' for inner cylinder = (Constant 'b' for inner cylinder/(Radius at Junction^2))-Radial Pressure

Home

FREE PDFs

🔍 Search