Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Calculator

✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+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%
✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at Junction [r_*]			+10% -10%

✖Constant 'b' for inner cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for inner cylinder given radial pressure at junction of two cylinders [b₂]

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Constant 'b' for inner cylinder given radial pressure at junction of two cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2)
b₂ = (P_v+a₂)*(r_*^2)
This formula uses 4 Variables

Variables Used

Constant 'b' for inner cylinder - Constant 'b' for inner cylinder is defined as the constant used in lame's equation.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.
Constant 'a' for inner cylinder - Constant 'a' for inner cylinder is defined as the constant used in lame's equation.
Radius at Junction - (Measured in Meter) - The Radius at Junction is the radius value at the junction of compound cylinders.

STEP 1: Convert Input(s) to Base Unit

Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)
Constant 'a' for inner cylinder: 3 --> No Conversion Required
Radius at Junction: 4000 Millimeter --> 4 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b₂ = (P_v+a₂)*(r_*^2) --> (14000+3)*(4^2)

Evaluating ... ...

b₂ = 224048

STEP 3: Convert Result to Output's Unit

224048 --> No Conversion Required

FINAL ANSWER

224048 <-- Constant 'b' for inner cylinder

(Calculation completed in 00.020 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 'b' for inner cylinder given radial pressure at junction of two cylinders Formula

LaTeX Go

Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2)
b₂ = (P_v+a₂)*(r_*^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 'b' for inner cylinder given radial pressure at junction of two cylinders?

Constant 'b' for inner cylinder given radial pressure at junction of two cylinders calculator uses Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2) to calculate the Constant 'b' for inner cylinder, The Constant 'b' for inner cylinder given radial pressure at junction of two cylinders formula is defined as the constant used in lame's equation for inner surface of compound cylinder. Constant 'b' for inner cylinder is denoted by b₂ symbol.

How to calculate Constant 'b' for inner cylinder given radial pressure at junction of two cylinders using this online calculator? To use this online calculator for Constant 'b' for inner cylinder given radial pressure at junction of two cylinders, enter Radial Pressure (P_v), Constant 'a' for inner cylinder (a₂) & Radius at Junction (r_*) and hit the calculate button. Here is how the Constant 'b' for inner cylinder given radial pressure at junction of two cylinders calculation can be explained with given input values -> 224048 = (14000+3)*(4^2).

FAQ

What is Constant 'b' for inner cylinder given radial pressure at junction of two cylinders?

The Constant 'b' for inner cylinder given radial pressure at junction of two cylinders formula is defined as the constant used in lame's equation for inner surface of compound cylinder and is represented as b₂ = (P_v+a₂)*(r_*^2) or Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2). Radial Pressure is pressure towards or away from the central axis of a component, Constant 'a' for inner cylinder is defined as the constant used in lame's equation & The Radius at Junction is the radius value at the junction of compound cylinders.

How to calculate Constant 'b' for inner cylinder given radial pressure at junction of two cylinders?

The Constant 'b' for inner cylinder given radial pressure at junction of two cylinders formula is defined as the constant used in lame's equation for inner surface of compound cylinder is calculated using Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius at Junction^2). To calculate Constant 'b' for inner cylinder given radial pressure at junction of two cylinders, you need Radial Pressure (P_v), Constant 'a' for inner cylinder (a₂) & Radius at Junction (r_*). With our tool, you need to enter the respective value for Radial Pressure, Constant 'a' for inner cylinder & Radius at Junction 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 'b' for inner cylinder?

In this formula, Constant 'b' for inner cylinder uses Radial Pressure, Constant 'a' for inner cylinder & Radius at Junction. We can use 3 other way(s) to calculate the same, which is/are as follows -

Constant 'b' for inner cylinder = (Radial Pressure+Constant 'a' for inner cylinder)*(Radius Of Cylindrical Shell^2)
Constant 'b' for inner cylinder = (Hoop Stress on thick shell-Constant 'a' for inner cylinder)*(Radius Of Cylindrical Shell^2)
Constant 'b' for inner cylinder = Constant 'a' for inner cylinder*(Outer Radius of Cylinder^2)

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