Long Inner Height of Cut Cylindrical Shell Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Inner Height of Cut Cylindrical Shell = Long Outer Height of Cut Cylindrical Shell-((Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell)*Wall Thickness of Cut Cylindrical Shell/(2*Outer Radius of Cut Cylindrical Shell))
hLong Inner = hLong Outer-((hLong Outer-hShort Outer)*tWall/(2*rOuter))
This formula uses 5 Variables
Variables Used
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.
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.
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.
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.
STEP 1: Convert Input(s) to Base Unit
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
Wall Thickness of Cut Cylindrical Shell: 4 Meter --> 4 Meter No Conversion Required
Outer Radius of Cut Cylindrical Shell: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hLong Inner = hLong Outer-((hLong Outer-hShort Outer)*tWall/(2*rOuter)) --> 20-((20-16)*4/(2*12))
Evaluating ... ...
hLong Inner = 19.3333333333333
STEP 3: Convert Result to Output's Unit
19.3333333333333 Meter --> No Conversion Required
FINAL ANSWER
19.3333333333333 19.33333 Meter <-- Long Inner Height of Cut Cylindrical Shell
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

4 Inner Height of Cut Cylindrical Shell Calculators

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

Long Inner Height of Cut Cylindrical Shell Formula

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

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 Long Inner Height of Cut Cylindrical Shell?

Long Inner Height of Cut Cylindrical Shell calculator uses Long Inner Height of Cut Cylindrical Shell = Long Outer Height of Cut Cylindrical Shell-((Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell)*Wall Thickness of Cut Cylindrical Shell/(2*Outer Radius of Cut Cylindrical Shell)) to calculate the Long Inner Height of Cut Cylindrical Shell, Long Inner Height of Cut Cylindrical Shell formula is defined as the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell. Long Inner Height of Cut Cylindrical Shell is denoted by hLong Inner symbol.

How to calculate Long Inner Height of Cut Cylindrical Shell using this online calculator? To use this online calculator for Long Inner Height of Cut Cylindrical Shell, enter Long Outer Height of Cut Cylindrical Shell (hLong Outer), Short Outer Height of Cut Cylindrical Shell (hShort Outer), Wall Thickness of Cut Cylindrical Shell (tWall) & Outer Radius of Cut Cylindrical Shell (rOuter) and hit the calculate button. Here is how the Long Inner Height of Cut Cylindrical Shell calculation can be explained with given input values -> 19.33333 = 20-((20-16)*4/(2*12)).

FAQ

What is Long Inner Height of Cut Cylindrical Shell?
Long Inner Height of Cut Cylindrical Shell formula is defined as the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell and is represented as hLong Inner = hLong Outer-((hLong Outer-hShort Outer)*tWall/(2*rOuter)) or Long Inner Height of Cut Cylindrical Shell = Long Outer Height of Cut Cylindrical Shell-((Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell)*Wall Thickness of Cut Cylindrical Shell/(2*Outer Radius of 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, 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 & 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.
How to calculate Long Inner Height of Cut Cylindrical Shell?
Long Inner Height of Cut Cylindrical Shell formula is defined as the longest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell is calculated using Long Inner Height of Cut Cylindrical Shell = Long Outer Height of Cut Cylindrical Shell-((Long Outer Height of Cut Cylindrical Shell-Short Outer Height of Cut Cylindrical Shell)*Wall Thickness of Cut Cylindrical Shell/(2*Outer Radius of Cut Cylindrical Shell)). To calculate Long Inner Height of Cut Cylindrical Shell, you need Long Outer Height of Cut Cylindrical Shell (hLong Outer), Short Outer Height of Cut Cylindrical Shell (hShort Outer), Wall Thickness of Cut Cylindrical Shell (tWall) & Outer Radius of Cut Cylindrical Shell (rOuter). With our tool, you need to enter the respective value for Long Outer Height of Cut Cylindrical Shell, Short Outer Height of Cut Cylindrical Shell, Wall Thickness of Cut Cylindrical Shell & Outer Radius 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.
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