Constant 'a' for inner cylinder given original difference of radii at junction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant 'a' for inner cylinder = Constant 'a' for outer cylinder-(Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction))
a2 = a1-(Δroriginal*E/(2*r*))
This formula uses 5 Variables
Variables Used
Constant 'a' for inner cylinder - Constant 'a' for inner cylinder is defined as the constant used in lame's equation.
Constant 'a' for outer cylinder - Constant 'a' for outer cylinder is defined as the constant used in lame's equation.
Original difference of radii - (Measured in Meter) - Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder.
Modulus of Elasticity Of Thick Shell - (Measured in Pascal) - Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it.
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
Constant 'a' for outer cylinder: 4 --> No Conversion Required
Original difference of radii: 0.02 Millimeter --> 2E-05 Meter (Check conversion ​here)
Modulus of Elasticity Of Thick Shell: 2.6 Megapascal --> 2600000 Pascal (Check conversion ​here)
Radius at Junction: 4000 Millimeter --> 4 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a2 = a1-(Δroriginal*E/(2*r*)) --> 4-(2E-05*2600000/(2*4))
Evaluating ... ...
a2 = -2.5
STEP 3: Convert Result to Output's Unit
-2.5 --> No Conversion Required
FINAL ANSWER
-2.5 <-- Constant 'a' for inner cylinder
(Calculation completed in 00.004 seconds)

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Radius at junction of compound cylinder given increase in inner radius of outer cylinder
​ LaTeX ​ Go Radius at Junction = (Increase in radius*Modulus of Elasticity Of Thick Shell)/(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Increase in inner radius of outer cylinder at junction of compound cylinder
​ LaTeX ​ Go Increase in radius = (Radius at Junction/Modulus of Elasticity Of Thick Shell)*(Hoop Stress on thick shell+(Radial Pressure/Mass Of Shell))
Radial pressure given increase in inner radius of outer cylinder
​ LaTeX ​ Go Radial Pressure = ((Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-Hoop Stress on thick shell)*Mass Of Shell
Hoop stress given increase in inner radius of outer cylinder
​ LaTeX ​ Go Hoop Stress on thick shell = (Increase in radius/(Radius at Junction/Modulus of Elasticity Of Thick Shell))-(Radial Pressure/Mass Of Shell)

Constant 'a' for inner cylinder given original difference of radii at junction Formula

​LaTeX ​Go
Constant 'a' for inner cylinder = Constant 'a' for outer cylinder-(Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction))
a2 = a1-(Δroriginal*E/(2*r*))

What is meant by hoop stress?

The hoop stress is the force over the area exerted circumferentially (perpendicular to the axis and the radius of the object) in both directions on every particle in the cylinder wall.

How to Calculate Constant 'a' for inner cylinder given original difference of radii at junction?

Constant 'a' for inner cylinder given original difference of radii at junction calculator uses Constant 'a' for inner cylinder = Constant 'a' for outer cylinder-(Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction)) to calculate the Constant 'a' for inner cylinder, The Constant 'a' for inner cylinder given original difference of radii at junction formula is defined as the constant used in lame's equation for the compound cylinder. Constant 'a' for inner cylinder is denoted by a2 symbol.

How to calculate Constant 'a' for inner cylinder given original difference of radii at junction using this online calculator? To use this online calculator for Constant 'a' for inner cylinder given original difference of radii at junction, enter Constant 'a' for outer cylinder (a1), Original difference of radii (Δroriginal), Modulus of Elasticity Of Thick Shell (E) & Radius at Junction (r*) and hit the calculate button. Here is how the Constant 'a' for inner cylinder given original difference of radii at junction calculation can be explained with given input values -> -2.5 = 4-(2E-05*2600000/(2*4)).

FAQ

What is Constant 'a' for inner cylinder given original difference of radii at junction?
The Constant 'a' for inner cylinder given original difference of radii at junction formula is defined as the constant used in lame's equation for the compound cylinder and is represented as a2 = a1-(Δroriginal*E/(2*r*)) or Constant 'a' for inner cylinder = Constant 'a' for outer cylinder-(Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction)). Constant 'a' for outer cylinder is defined as the constant used in lame's equation, Original difference of radii is the original difference happened in the inner and outer radius of compound cylinder, Modulus of Elasticity Of Thick Shell is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it & The Radius at Junction is the radius value at the junction of compound cylinders.
How to calculate Constant 'a' for inner cylinder given original difference of radii at junction?
The Constant 'a' for inner cylinder given original difference of radii at junction formula is defined as the constant used in lame's equation for the compound cylinder is calculated using Constant 'a' for inner cylinder = Constant 'a' for outer cylinder-(Original difference of radii*Modulus of Elasticity Of Thick Shell/(2*Radius at Junction)). To calculate Constant 'a' for inner cylinder given original difference of radii at junction, you need Constant 'a' for outer cylinder (a1), Original difference of radii (Δroriginal), Modulus of Elasticity Of Thick Shell (E) & Radius at Junction (r*). With our tool, you need to enter the respective value for Constant 'a' for outer cylinder, Original difference of radii, Modulus of Elasticity Of Thick Shell & Radius at Junction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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