Short Inner Height of Cut Cylindrical Shell given Inner Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
hShort Inner = hShort Outer+((hLong Outer-hShort Outer)*tWall/(2*(tWall+rInner)))
This formula uses 5 Variables
Variables Used
Short Inner Height of Cut Cylindrical Shell - (Measured in Meter) - Short Inner Height of Cut Cylindrical Shell is the shortest vertical distance from the bottom circular face to the top elliptical face of the inner 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 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.
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.
Inner Radius of Cut Cylindrical Shell - (Measured in Meter) - Inner Radius of Cut Cylindrical Shell is the distance between center and any point on the circumference of the bottom circular face in the inner cut cylinder of the Cut Cylindrical Shell.
STEP 1: Convert Input(s) to Base Unit
Short Outer Height of Cut Cylindrical Shell: 16 Meter --> 16 Meter No Conversion Required
Long Outer Height of Cut Cylindrical Shell: 20 Meter --> 20 Meter No Conversion Required
Wall Thickness of Cut Cylindrical Shell: 4 Meter --> 4 Meter No Conversion Required
Inner Radius of Cut Cylindrical Shell: 8 Meter --> 8 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hShort Inner = hShort Outer+((hLong Outer-hShort Outer)*tWall/(2*(tWall+rInner))) --> 16+((20-16)*4/(2*(4+8)))
Evaluating ... ...
hShort Inner = 16.6666666666667
STEP 3: Convert Result to Output's Unit
16.6666666666667 Meter --> No Conversion Required
FINAL ANSWER
16.6666666666667 16.66667 Meter <-- Short Inner Height of Cut Cylindrical Shell
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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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))

Short Inner Height of Cut Cylindrical Shell given Inner Radius Formula

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)))
hShort Inner = hShort Outer+((hLong Outer-hShort Outer)*tWall/(2*(tWall+rInner)))

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 Short Inner Height of Cut Cylindrical Shell given Inner Radius?

Short Inner Height of Cut Cylindrical Shell given Inner Radius calculator uses 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))) to calculate the Short Inner Height of Cut Cylindrical Shell, Short Inner Height of Cut Cylindrical Shell given Inner Radius formula is defined as the shortest vertical distance from the bottom circular face to the top elliptical face of the inner cut cylinder of the Cut Cylindrical Shell, and calculated using outer height, inner radius and wall thickness of Cut Cylindrical Shell. Short Inner Height of Cut Cylindrical Shell is denoted by hShort Inner symbol.

How to calculate Short Inner Height of Cut Cylindrical Shell given Inner Radius using this online calculator? To use this online calculator for Short Inner Height of Cut Cylindrical Shell given Inner Radius, enter Short Outer Height of Cut Cylindrical Shell (hShort Outer), Long Outer Height of Cut Cylindrical Shell (hLong Outer), Wall Thickness of Cut Cylindrical Shell (tWall) & Inner Radius of Cut Cylindrical Shell (rInner) and hit the calculate button. Here is how the Short Inner Height of Cut Cylindrical Shell given Inner Radius calculation can be explained with given input values -> 16.66667 = 16+((20-16)*4/(2*(4+8))).

FAQ

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