Inner radius of compound cylinder given internal fluid pressure Calculator

✖Constant B for Single Thick Shell is the constant used in lame's equation in case of internal fluid pressure.ⓘ Constant B for Single Thick Shell [B]			+10% -10%
✖Internal Pressure is a measure of how the internal energy of a system changes when it expands or contracts at a constant temperature.ⓘ Internal Pressure [P_i]			+10% -10%
✖Constant A for single thick shell is the constant used in lame's equation in case of internal fluid pressure.ⓘ Constant A for single thick shell [A]			+10% -10%

✖The Inner Radius of Cylinder is a straight line from the center to the Cylinder's base to inner surface of the Cylinder.ⓘ Inner radius of compound cylinder given internal fluid pressure [r₁]

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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/(P_i+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/(P_i+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 ≈ 0.01064 Meter <-- Inner Radius of Cylinder

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Stresses in Compound Thick Cylinders Calculators

Radius value 'x' for outer cylinder given hoop stress at radius x

LaTeX 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 outer cylinder given radial pressure at radius x

LaTeX Go Radius Of Cylindrical Shell = sqrt(Constant 'b' for outer cylinder/(Radial Pressure+Constant 'a' for outer cylinder))

Hoop stress at radius x for outer cylinder

LaTeX Go Hoop Stress on thick shell = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))+(Constant 'a' for outer cylinder)

Radial pressure at radius x for outer cylinder

LaTeX Go Radial Pressure = (Constant 'b' for outer cylinder/(Radius Of Cylindrical Shell^2))-(Constant 'a' for outer cylinder)

Inner radius of compound cylinder given internal fluid pressure Formula

LaTeX Go

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