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##### Jesse Smith Industrial Engineering

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**Jesse SmithIndustrial 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**Developing the isometric drawling using the measuring**machine**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 = ax2 + bx +c form • Used as one way to graph data in a non linear form**Data Collection**Time (sec)**Prediction from Data**Time (sec) 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)**Time (sec)**For a six inch wingspan a prediction of 3.2 seconds was made**A new model was needed**Time (sec) 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. The other was the trebuchet. One of these was the ballista. 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. opposite adjacent rise run Slope Tangent rise run angle**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 Large scale model Model Trebuchet**Make sure you know what is going to happen**------------------- or at least have an idea !