Inner radius of compound cylinder given internal fluid pressure Solution

STEP 0: Pre-Calculation Summary
Formula Used
Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell))
r1 = sqrt(B/(Pi+A))
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Inner Radius of Cylinder - (Measured in Meter) - The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.
Constant B for Single Thick Shell - Constant B for Single Thick Shell is the constant used in lame's equation in case of internal fluid pressure.
Internal Pressure - (Measured in Pascal) - Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.
Constant A for single thick shell - Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.
STEP 1: Convert Input(s) to Base Unit
Constant B for Single Thick Shell: 6 --> No Conversion Required
Internal Pressure: 0.053 Megapascal --> 53000 Pascal (Check conversion here)
Constant A for single thick shell: 2 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r1 = sqrt(B/(Pi+A)) --> sqrt(6/(53000+2))
Evaluating ... ...
r1 = 0.0106397027847633
STEP 3: Convert Result to Output's Unit
0.0106397027847633 Meter --> No Conversion Required
FINAL ANSWER
0.0106397027847633 โ‰ˆ 0.01064 Meter <-- Inner Radius of Cylinder
(Calculation completed in 00.004 seconds)

Credits

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National Institute Of Technology (NIT), Hamirpur
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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21 Stresses in Compound Thick Cylinders Calculators

Radius 'x' for single thick shell given hoop stress due to internal fluid pressure alone
Go Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Hoop Stress on thick shell-Constant A for single thick shell))
Radius value 'x' for outer cylinder given hoop stress at radius x
Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Hoop Stress on thick shell-Constant 'a' for outer cylinder))
Radius value 'x' for inner cylinder given hoop stress at radius x
Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Hoop Stress on thick shell-Constant 'a' for inner cylinder))
Radius 'x' for single thick shell given Radial pressure due to internal fluid pressure alone
Go Radius Of Cylindrical Shell = sqrt(Constant B for Single Thick Shell/(Radial Pressure+Constant A for single thick shell))
Inner radius of compound cylinder given internal fluid pressure
Go Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell))
Radius value 'x' for outer cylinder given radial pressure at radius x
Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
Radius value 'x' for inner cylinder given radial pressure at radius x
Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
Radius at junction of two cylinders given radial pressure at junction of two cylinders
Go Radius at Junction = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))
Radius at junction given radial pressure at junction and constants for inner radius
Go Radius at Junction = sqrt(Constant 'b' for inner cylinder/(Radial Pressure+Constant 'a' for inner cylinder))
Hoop Stress in compound cylinder due to internal fluid pressure alone
Go Hoop Stress on thick shell = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))+Constant A for single thick shell
Hoop stress at radius x for outer cylinder
Go Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)
Hoop stress at radius x for inner cylinder
Go Hoop Stress on thick shell = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for inner cylinder)
Radial pressure in compound cylinder due to internal fluid pressure alone
Go Radial Pressure = (Constant B for Single Thick Shell/(Radius Of Cylindrical Shell^2))-Constant A for single thick shell
Internal fluid pressure given constants for single thick shell in compound cylinder
Go Internal Pressure = (Constant B for Single Thick Shell/(Inner Radius of Cylinder^2))-Constant A for single thick shell
Radial pressure at radius 'x' for inner cylinder
Go Radial Pressure = (Constant 'b' for inner cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for inner cylinder)
Radial pressure at radius x for outer cylinder
Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)
Radial pressure at junction given constants 'a' and 'b' for outer cylinder
Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius at Junction^2))-(Constant 'a' for outer cylinder)
Radial pressure at junction of compound cylinder given constant and b for inner cylinder
Go Radial Pressure = (Constant 'b' for inner cylinder/(Radius at Junction^2))-Constant 'a' for inner cylinder
Outer radius of compound cylinder given constants A and B for single thick shell
Go Outer Radius of Cylinder = sqrt(Constant B for Single Thick Shell/Constant A for single thick shell)
Outer radius of compound cylinder given constants and b for outer cylinder
Go Outer Radius of Cylinder = sqrt(Constant 'b' for outer cylinder/Constant 'a' for outer cylinder)
Outer radius of compound cylinder given constants and b for inner cylinder
Go Outer Radius of Cylinder = sqrt(Constant 'b' for inner cylinder/Constant 'a' for inner cylinder)

Inner radius of compound cylinder given internal fluid pressure Formula

Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell))
r1 = sqrt(B/(Pi+A))

What is meant by hoop stress?

The hoop stress is the force over 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 Inner radius of compound cylinder given internal fluid pressure?

Inner radius of compound cylinder given internal fluid pressure calculator uses Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell)) to calculate the Inner Radius of Cylinder, The Inner radius of compound cylinder given internal fluid pressure formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Inner Radius of Cylinder is denoted by r1 symbol.

How to calculate Inner radius of compound cylinder given internal fluid pressure using this online calculator? To use this online calculator for Inner radius of compound cylinder given internal fluid pressure, enter Constant B for Single Thick Shell (B), Internal Pressure (Pi) & Constant A for single thick shell (A) and hit the calculate button. Here is how the Inner radius of compound cylinder given internal fluid pressure calculation can be explained with given input values -> 0.01064 = sqrt(6/(53000+2)).

FAQ

What is Inner radius of compound cylinder given internal fluid pressure?
The Inner radius of compound cylinder given internal fluid pressure formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface and is represented as r1 = sqrt(B/(Pi+A)) or Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell)). Constant B for Single Thick Shell is the constant used in lame's equation in case of internal fluid pressure, Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature & Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.
How to calculate Inner radius of compound cylinder given internal fluid pressure?
The Inner radius of compound cylinder given internal fluid pressure formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface is calculated using Inner Radius of Cylinder = sqrt(Constant B for Single Thick Shell/(Internal Pressure+Constant A for single thick shell)). To calculate Inner radius of compound cylinder given internal fluid pressure, you need Constant B for Single Thick Shell (B), Internal Pressure (Pi) & Constant A for single thick shell (A). With our tool, you need to enter the respective value for Constant B for Single Thick Shell, Internal Pressure & Constant A for single thick shell 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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