Outer Radius of Cut Cylindrical Shell given Long Inner Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Long Outer Height of Cut Cylindrical Shell-Long Inner Height of Cut Cylindrical Shell))
rOuter = (tWall*(hLong Outer-hShort Outer))/(2*(hLong Outer-hLong Inner))
This formula uses 5 Variables
Variables Used
Outer Radius of Cut Cylindrical Shell - (Measured in Meter) - Outer Radius of Cut Cylindrical Shell is the distance between center and any point on the circumference of the bottom circular face in the outer cut cylinder of the Cut Cylindrical Shell.
Wall Thickness of Cut Cylindrical Shell - (Measured in Meter) - Wall Thickness of Cut Cylindrical Shell is the shortest distance between the lateral curved surfaces of the inner and outer cut cylinders of the Cut Cylindrical Shell.
Long Outer Height of Cut Cylindrical Shell - (Measured in Meter) - Long Outer Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell.
Short Outer Height of Cut Cylindrical Shell - (Measured in Meter) - Short Outer Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell.
Long Inner Height of Cut Cylindrical Shell - (Measured in Meter) - Long Inner Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell.
STEP 1: Convert Input(s) to Base Unit
Wall Thickness of Cut Cylindrical Shell: 4 Meter --> 4 Meter No Conversion Required
Long Outer Height of Cut Cylindrical Shell: 20 Meter --> 20 Meter No Conversion Required
Short Outer Height of Cut Cylindrical Shell: 16 Meter --> 16 Meter No Conversion Required
Long Inner Height of Cut Cylindrical Shell: 19 Meter --> 19 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rOuter = (tWall*(hLong Outer-hShort Outer))/(2*(hLong Outer-hLong Inner)) --> (4*(20-16))/(2*(20-19))
Evaluating ... ...
rOuter = 8
STEP 3: Convert Result to Output's Unit
8 Meter --> No Conversion Required
FINAL ANSWER
8 Meter <-- Outer Radius of Cut Cylindrical Shell
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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St Joseph's College (SJC), Bengaluru
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3 Outer Radius of Cut Cylindrical Shell Calculators

Outer Radius of Cut Cylindrical Shell given Short Inner Height
Go Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Short Inner Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))
Outer Radius of Cut Cylindrical Shell given Long Inner Height
Go Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Long Outer Height of Cut Cylindrical Shell-Long Inner Height of Cut Cylindrical Shell))
Outer Radius of Cut Cylindrical Shell
Go Outer Radius of Cut Cylindrical Shell = Wall Thickness of Cut Cylindrical Shell+Inner Radius of Cut Cylindrical Shell

Outer Radius of Cut Cylindrical Shell given Long Inner Height Formula

Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Long Outer Height of Cut Cylindrical Shell-Long Inner Height of Cut Cylindrical Shell))
rOuter = (tWall*(hLong Outer-hShort Outer))/(2*(hLong Outer-hLong Inner))

What is Cut Cylindrical Shell?

When a cylindrical shell is cut by a plane, across its lateral surface the resulting shape is called a Cut Cylindrical Shell. And if the cutting plane is parallel to the annular faces of the cylindrical shell then the resulting shapes are again cylindrical shells of smaller height. In general a Cut Cylindrical Shell has an annular face, two curved lateral surfaces one inside and one outside and an elliptical ring face, where that elliptical ring is the intersection of the cylindrical shell and the cutting plane.

How to Calculate Outer Radius of Cut Cylindrical Shell given Long Inner Height?

Outer Radius of Cut Cylindrical Shell given Long Inner Height calculator uses Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Long Outer Height of Cut Cylindrical Shell-Long Inner Height of Cut Cylindrical Shell)) to calculate the Outer Radius of Cut Cylindrical Shell, Outer Radius of Cut Cylindrical Shell given Long Inner Height formula is defined as the distance between center and any point on the circumference of the bottom circular face in the outer cut cylinder of the Cut Cylindrical Shell, and calculated using the long inner height, outer height and wall thickness of the Cut Cylindrical Shell. Outer Radius of Cut Cylindrical Shell is denoted by rOuter symbol.

How to calculate Outer Radius of Cut Cylindrical Shell given Long Inner Height using this online calculator? To use this online calculator for Outer Radius of Cut Cylindrical Shell given Long Inner Height, enter Wall Thickness of Cut Cylindrical Shell (tWall), Long Outer Height of Cut Cylindrical Shell (hLong Outer), Short Outer Height of Cut Cylindrical Shell (hShort Outer) & Long Inner Height of Cut Cylindrical Shell (hLong Inner) and hit the calculate button. Here is how the Outer Radius of Cut Cylindrical Shell given Long Inner Height calculation can be explained with given input values -> 8 = (4*(20-16))/(2*(20-19)).

FAQ

What is Outer Radius of Cut Cylindrical Shell given Long Inner Height?
Outer Radius of Cut Cylindrical Shell given Long Inner Height formula is defined as the distance between center and any point on the circumference of the bottom circular face in the outer cut cylinder of the Cut Cylindrical Shell, and calculated using the long inner height, outer height and wall thickness of the Cut Cylindrical Shell and is represented as rOuter = (tWall*(hLong Outer-hShort Outer))/(2*(hLong Outer-hLong Inner)) or Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Long Outer Height of Cut Cylindrical Shell-Long Inner Height of Cut Cylindrical Shell)). Wall Thickness of Cut Cylindrical Shell is the shortest distance between the lateral curved surfaces of the inner and outer cut cylinders of the Cut Cylindrical Shell, Long Outer Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell, Short Outer Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the outer cut cylinder of the Cut Cylindrical Shell & Long Inner Height of Cut Cylindrical Shell is the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell.
How to calculate Outer Radius of Cut Cylindrical Shell given Long Inner Height?
Outer Radius of Cut Cylindrical Shell given Long Inner Height formula is defined as the distance between center and any point on the circumference of the bottom circular face in the outer cut cylinder of the Cut Cylindrical Shell, and calculated using the long inner height, outer height and wall thickness of the Cut Cylindrical Shell is calculated using Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Long Outer Height of Cut Cylindrical Shell-Long Inner Height of Cut Cylindrical Shell)). To calculate Outer Radius of Cut Cylindrical Shell given Long Inner Height, you need Wall Thickness of Cut Cylindrical Shell (tWall), Long Outer Height of Cut Cylindrical Shell (hLong Outer), Short Outer Height of Cut Cylindrical Shell (hShort Outer) & Long Inner Height of Cut Cylindrical Shell (hLong Inner). With our tool, you need to enter the respective value for Wall Thickness of Cut Cylindrical Shell, Long Outer Height of Cut Cylindrical Shell, Short Outer Height of Cut Cylindrical Shell & Long Inner Height of Cut Cylindrical Shell 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 Outer Radius of Cut Cylindrical Shell?
In this formula, Outer Radius of Cut Cylindrical Shell uses Wall Thickness of Cut Cylindrical Shell, Long Outer Height of Cut Cylindrical Shell, Short Outer Height of Cut Cylindrical Shell & Long Inner Height of Cut Cylindrical Shell. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Outer Radius of Cut Cylindrical Shell = Wall Thickness of Cut Cylindrical Shell+Inner Radius of Cut Cylindrical Shell
  • Outer Radius of Cut Cylindrical Shell = (Wall Thickness of Cut Cylindrical Shell*(Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))/(2*(Short Inner Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell))
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