Analyzing the Pneumatic Cylinder

8/2/2019 Analyzing the Pneumatic Cylinder

1/18

Analyzing thePneumatic Reservoir

Building a

Mathematical Model of The InteriorVolume of the Reservoir


2/18

Steps to Determine the Interior

Volume of the Pneumatic Cylinder

Measure and Record Reservoir ComponentDimensions

Calculate The Component Volumes

Research The Component Material Density

Calculate the Weight of Each Component

Calculate The Interior Volume of the Reservoir

Verify the Answer


3/18

Download and Complete the Work

Sheet Supplied With This Lesson.

The

Pneumatic Reservoir Analysis Work Sheet

Can be Found in the Learning Tools Sectionof this Lesson

Maintain a Notebook That Documents All YourWork


4/18

1.) A, B

End Cap

2.) C, D

ThreadedBoss

3.) A, ESS Tube

Step 1Measure and Record

Component Dimensions


5/18

Component DiameterLength Volume Weight

SS Tube

End Cap

Threaded

Boss

Pneumatic

Reservoir

Interior Cyl.

Record Your Work

Exterior cyl.

Water Volume

Material

Density

Aluminum

Density

Stainless

Steel

Density


6/18

Zero the Calipers Before Each

Measurement


7/18

Step 2Calculate the Component Volumes

The Aluminum End Caps (2)

The Threaded Boss (2)

The Stainless Steel TubeThese Are

CylindricalShapes

LengthRVolume = 2

Record Your Answers


8/18

Density = Weight / Volume

Equal Volumes

Different Weights

Less Dense

More Dense

The Concept of Density

More Matter Contained in an Equal Volume


9/18

Step 3

Research and Record the Density of

Aluminum and Stainless Steel

Aluminum AluminumStainless Steel

____________

Find and Record

the Density of:

Aluminum____________

Stainless Steel

Note: There are many alloys of Aluminum and

Stainless Steel. Use an Average Density

Click Herefor an online list of material densities
http://www.mcelwee.net/html/densities_of_various_materials.htmlhttp://www.mcelwee.net/html/densities_of_various_materials.html


10/18

Step 4Calculate the Weight

of the Aluminum Components

VolumeDensityWeight =

Weight of Aluminum End Cap x 2 = ____________

Weight of Threaded Boss x 2 = ____________

Total Weight Aluminum Components = ____________

Record Your Answers


11/18

Step 5Calculate the Weight

of the Stainless Steel Tube

Weight of Pneumatic ReservoirTotal Weight Aluminum Components

Weight of Stainless Steel Tube

Record Your Answer


12/18

Stainless Steel

Exterior Cylinder

Imaginary StainlessSteel Interior Cylinder

Imagine Two Solid SS Cylinders

The Exterior Cylinder Dimensions are Known

The Interior Cylinder Dimensions Are Calculated

From Known Values and the Density Equation


13/18

Step 6

Calculate The Exterior Cylinder Weight

Begin by assuming the Stainless Steel Tube is a Solid

Stainless Steel Cylinder

Calculate the Weight of This Imaginary Cylinder:

Use Outside Dimensions

Weight = Density x Volume

Record Your Answer


14/18

Step 7

Calculate the Interior Cylinder Weight

Weight of Exterior Stainless Steel Cylinder(From Previous Slide)

Weight of Stainless Steel Tube

Weight of the Interior Stainless

Steel Cylinder

Record Your Answer


15/18

Step 8

Calculate the Interior Volume the

Pneumatic ReservoirUse the Density Equation and the Weight of the Interior

Stainless Steel cylinder to Calculate the Volume

D(Density SS) = W(Weight)/ Vi (Interior Cylinder Volume)

Vi (Interior Cylinder Volume)= W(Weight) / D(Density SS)

Rewrite the Equation to Solve forVi

Record Your Answer


16/18

Step 9

Verify the AnswerTwo Possible Methods

1. Consult the Manufacturers Specification

1. Measure the Fluid Volume of the Reservoir

This is the easiest and most efficient method.

Learn to use specifications.

This process is explained in the next slide


17/18

Measure the Fluid Volume of the

Reservoir1. Unscrew and remove the Schrader valve.

2. Unscrew and remove the one touch tubing

connector.

3. Holding the reservoir level, slowly fill it with

water.

4. When the reservoir is full, empty the reservoir into

a graduated cylinder.5. Read the volume of water in the graduated

cylinder.

Caution:

Remove ALL the Water before pressurizing the reservoir


18/18

How Closely Does Your

Mathematical Model Agree

With The Measured Fluid

Volume?