Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Calculator

✖Constant 'b' for outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'b' for outer cylinder [b₁]			+10% -10%
✖The Radius at Junction is the radius value at the junction of compound cylinders.ⓘ Radius at Junction [r_*]			+10% -10%
✖Radial Pressure is pressure towards or away from the central axis of a component.ⓘ Radial Pressure [P_v]			+10% -10%

✖Constant 'a' for outer cylinder is defined as the constant used in lame's equation.ⓘ Constant 'a' for outer cylinder given radial pressure at junction of two cylinders [a₁]

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Constant 'a' for outer cylinder given radial pressure at junction of two cylinders Solution

STEP 0: Pre-Calculation Summary

Formula Used

Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure
a₁ = (b₁/(r_*^2))-P_v
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 at Junction - (Measured in Meter) - The Radius at Junction is the radius value at the junction of compound cylinders.
Radial Pressure - (Measured in Pascal per Square Meter) - Radial Pressure is pressure towards or away from the central axis of a component.

STEP 1: Convert Input(s) to Base Unit

Constant 'b' for outer cylinder: 25 --> No Conversion Required
Radius at Junction: 4000 Millimeter --> 4 Meter (Check conversion here)
Radial Pressure: 0.014 Megapascal per Square Meter --> 14000 Pascal per Square Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a₁ = (b₁/(r_*^2))-P_v --> (25/(4^2))-14000

Evaluating ... ...

a₁ = -13998.4375

STEP 3: Convert Result to Output's Unit

-13998.4375 --> No Conversion Required

FINAL ANSWER

-13998.4375 <-- Constant 'a' for outer cylinder

(Calculation completed in 00.017 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 radial pressure at junction of two cylinders Formula

LaTeX Go

Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure
a₁ = (b₁/(r_*^2))-P_v

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 radial pressure at junction of two cylinders?

Constant 'a' for outer cylinder given radial pressure at junction of two cylinders calculator uses Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure to calculate the Constant 'a' for outer cylinder, The Constant 'a' for outer cylinder given radial pressure at junction of two cylinders 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 radial pressure at junction of two cylinders using this online calculator? To use this online calculator for Constant 'a' for outer cylinder given radial pressure at junction of two cylinders, enter Constant 'b' for outer cylinder (b₁), Radius at Junction (r_*) & Radial Pressure (P_v) and hit the calculate button. Here is how the Constant 'a' for outer cylinder given radial pressure at junction of two cylinders calculation can be explained with given input values -> -13998.4375 = (25/(4^2))-14000.

FAQ

What is Constant 'a' for outer cylinder given radial pressure at junction of two cylinders?

The Constant 'a' for outer cylinder given radial pressure at junction of two cylinders formula is defined as the constant used in lame's equation for the thick compound cylinder and is represented as a₁ = (b₁/(r_*^2))-P_v or Constant 'a' for outer cylinder = (Constant 'b' for outer cylinder/(Radius at Junction^2))-Radial Pressure. Constant 'b' for outer 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 & Radial Pressure is pressure towards or away from the central axis of a component.

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

The Constant 'a' for outer cylinder given radial pressure at junction of two cylinders 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 at Junction^2))-Radial Pressure. To calculate Constant 'a' for outer cylinder given radial pressure at junction of two cylinders, you need Constant 'b' for outer cylinder (b₁), Radius at Junction (r_*) & Radial Pressure (P_v). With our tool, you need to enter the respective value for Constant 'b' for outer cylinder, Radius at Junction & Radial Pressure 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 at Junction & Radial Pressure. 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 Of Cylindrical Shell^2))+Hoop Stress on thick shell

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