Jesse Smith
Industrial Engineering
 Measurement in the 3D Coordinate plane
 Industrial Engineering with Linear and
Quadratic models
 Historical Engineering Activity
 Industrial Engineering Game
Measurement in the 3D
Coordinate plane
The x,y,axis
The x,y,z axis
Measurement in 3 dimensions
Manufacturing in 3 dimensions Wind tunnel
demonstration
Industrial Application 3-D Laser Scanner
The (x,y) axis
x
y
The x,y,z axis
z
y
x
Home made scanner and description
of 3D axis
Setting up the coordinate plane on
isometric graph paper
Developing the isometric drawling
using the measuring machine
Using orthographic drawing and
aerodynamic principals
Wind tunnel
Design of Wind tunnel
Setting up Airfoil
Testing the airfoil
3d laser scanner
Calibration
Scanned image
Industrial Engineering with
Linear and Quadratic models
Linear and quadratic equations
Paper helicopter demonstration
Data collection (wing length/time)
Predictions from data
Test predictions
Revision with new model
Worksheets
Linear Equations
• Y=mx+b form
• Can be used to predict linear data
Quadratic Equations
• y = ax + bx +c form
• Used as one way to graph data in a non
linear form
2
Paper Helicopter demonstration
Data Collection
3
Time (sec)
2.5
2
1
2
3
4
1.5
1
0.5
0
winglength
Prediction from Data
3
Time (sec)
2.5
2
1
2
3
4
5
1.5
1
0.5
0
wing length
This line shows that the predicted flight time for a 5 inch
wing should be 3 seconds------- after testing it proved
almost true ( 2.9 seconds)
3.5
Time (sec)
3
2.5
1
2
3
4
5
6
2
1.5
1
0.5
0
winglength
For a six inch wingspan a prediction of 3.2 seconds was made
This did not work
A new model was needed
3
2.5
1
2
3
4
5
6
2
Time (sec)
1.5
1
0.5
0
winglength
This is clearly not a linear function. A quadratic model might
be used to predict the optimal wing length. Before going to an
optimal measurement a ROBUST design based on a linear
model might be used
Robust Design
Sometimes the optimal is not the best. If a design falls within the
acceptable operating parameters and is more efficient to produce,
then it might be more economically feasible to use this design.
1 hour to produce
2 minutes to produce
Which one would you choose ?
Historical Engineering Activity
Different equations are used in different
situations.
Siege weapons and their uses
Ballista linear models
Slope (slope formula, trig models, linear
regression)
Trebuchet quadratic models
Different equations are used in
different situations.
Linear Equations
Quadratic Equations
Siege weapons and their uses
In Medieval warfare it was sometimes necessary to lay siege to an
enemy fortification. e.g. a castle.
?
Several Devices were developed
to help deal with these situations.
One of these was
the ballista.
The other was the
trebuchet.
www.trebuchet.com
http://members.lycos.nl/onager/ballista.html
The Ballista could fire directly at
a target (Linear Model)
http://members.lycos.nl/onager/ballista.html
By knowing the height of the
target and the distance tables
could be developed slope and
angles could be compared.
rise
opposite
run
adjacent
Slope
Tangent
rise
angle
run
The Trebuchet could fire in a
high arc. (Quadratic Model)
www.trebuchet.com
Buy building models
improvements can be made on
existing designs as well as
planned objects
Model Trebuchet
Large scale model
Models Can lead to Future Designes
Make sure you know what is
going to happen ------------------or at least have an idea !
Industrial Engineering Game