Constant for inner cylinder given outer radius of 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%
✖The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.ⓘ Outer Radius of Cylinder [r₂]			+10% -10%

✖Constant 'a' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant for inner cylinder given outer radius of cylinder [a₂]

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Formula

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Constant for inner cylinder given outer radius of cylinder

Formula

a 2 = \frac{b 2}{{r 2}^{2}}

Example

0.088889 = \frac{5}{{7.5 m}^{2}}

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Constant for inner cylinder given outer radius of cylinder Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant 'a' for inner cylinder = Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2)
a₂ = b₂/(r₂^2)
This formula uses 3 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.
Outer Radius of Cylinder - (Measured in Meter) - The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.

STEP 1: Convert Input(s) to Base Unit

Constant 'b' for inner cylinder: 5 --> No Conversion Required
Outer Radius of Cylinder: 7.5 Meter --> 7.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₂ = b₂/(r₂^2) --> 5/(7.5^2)

Evaluating ... ...

a₂ = 0.0888888888888889

STEP 3: Convert Result to Output's Unit

0.0888888888888889 --> No Conversion Required

FINAL ANSWER

0.0888888888888889 ≈ 0.088889 <-- Constant 'a' for inner 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

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

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

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

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

Constant for inner cylinder given outer radius of cylinder Formula

Constant 'a' for inner cylinder = Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2)
a₂ = b₂/(r₂^2)

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 for inner cylinder given outer radius of cylinder?

Constant for inner cylinder given outer radius of cylinder calculator uses Constant 'a' for inner cylinder = Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2) to calculate the Constant 'a' for inner cylinder, The Constant for inner cylinder given outer radius of cylinder formula is defined as the constant used in lame's equation for the inner surface of the compound cylinder. Constant 'a' for inner cylinder is denoted by a₂ symbol.

How to calculate Constant for inner cylinder given outer radius of cylinder using this online calculator? To use this online calculator for Constant for inner cylinder given outer radius of cylinder, enter Constant 'b' for inner cylinder (b₂) & Outer Radius of Cylinder (r₂) and hit the calculate button. Here is how the Constant for inner cylinder given outer radius of cylinder calculation can be explained with given input values -> 0.088889 = 5/(7.5^2).

FAQ

What is Constant for inner cylinder given outer radius of cylinder?

The Constant for inner cylinder given outer radius of cylinder formula is defined as the constant used in lame's equation for the inner surface of the compound cylinder and is represented as a₂ = b₂/(r₂^2) or Constant 'a' for inner cylinder = Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2). Constant 'b' for inner cylinder is defined as the constant used in lame's equation & The Outer Radius of Cylinder is a straight line from the center to the Cylinder's base to outer surface of the Cylinder.

How to calculate Constant for inner cylinder given outer radius of cylinder?

The Constant for inner cylinder given outer radius of cylinder formula is defined as the constant used in lame's equation for the inner surface of the compound cylinder is calculated using Constant 'a' for inner cylinder = Constant 'b' for inner cylinder/(Outer Radius of Cylinder^2). To calculate Constant for inner cylinder given outer radius of cylinder, you need Constant 'b' for inner cylinder (b₂) & Outer Radius of Cylinder (r₂). With our tool, you need to enter the respective value for Constant 'b' for inner cylinder & Outer Radius of 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 Constant 'a' for inner cylinder?

In this formula, Constant 'a' for inner cylinder uses Constant 'b' for inner cylinder & Outer Radius of Cylinder. 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/(Radius Of Cylindrical Shell^2))+Hoop Stress on thick shell
Constant 'a' for inner cylinder = (Constant 'b' for inner cylinder/(Radius at Junction^2))-Radial Pressure

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