1. Governor’s School Engineering Specialty Instructors Prof. Will Schleter Wayne Pfeiler

2. Governor’s School - Engineering Specialty Objectives b Introduce Science and Math Fundamentals for Engineering b Provide Exposure to Different Engineering Disciplines b Learn, Participate in, and Practice the Engineering Design Process b Learn and Have Fun!

3. Governor’s School - Engineering Specialty What is Engineering? b Driving a train? b The application of scientific principles to practical ends as the design, construction, and operation of efficient and economical structures, equipment, and systems. b “Using science and math to figure out how to make stuff and do things.” b Problem Solving…

4. Governor’s School - Engineering Specialty Example b A protective liner exactly 12 meters wide is available to line a channel for conveying water from a reservoir to downstream areas. If a trapezoidal-shaped channel is constructed so that the liner will cover the surface completely, what are the values for x and that will provide the maximum water flow? b A protective liner exactly 12 meters wide is available to line a channel for conveying water from a reservoir to downstream areas. If a trapezoidal-shaped channel is constructed so that the liner will cover the surface completely, what are the values for x and  that will provide the maximum water flow? x 

5. Governor’s School - Engineering Specialty Solution xx 

6. Example – Computer Solution clc; clear all; close all; lt = 'rgbcmyk'; xlist = linspace(0,6,7); % x range tlist = linspace(0,pi/2,7); % theta range x=meshgrid(xlist,tlist)'; % 2D matrix of x values t=meshgrid(tlist,xlist); % 2D matrix of y values a = (12 - 2.*x).*x.*sin(t) + x.*x.*cos(t).*sin(t) % calculate areas maxa = max(max(a)); % find maximum area [max_ix,max_it] = find(a==maxa); % find where max occured max_a = a(max_ix,max_it) % max area max_x = x(max_ix,max_it) % x for max area max_t = t(max_ix,max_it)*180/pi % t for max area hold on for ii=1:1:length(xlist) tt = linspace(min(tlist),max(tlist),200); aa = spline(t(ii,:),a(:,ii),tt); plot(tt*180/pi,aa,[lt(ii) '-']); leg(ii,:)=sprintf('x=%2u',xlist(ii)); end legend(leg); xlabel('Slope (degrees)'); ylabel('Flow area (m^2)'); plot(max_t,max_a,'o'); msg = sprintf('Max=%.2f at x=%.0f and t=%.0f',max_a,max_x,max_t); text(max_t,max_a,msg,'horiz','center','vert','bottom'); grid on;

7. Governor’s School - Engineering Specialty Types of Engineering

8. Governor’s School - Engineering Specialty Class Specifics b Science and Math Fundamentals for Engineering Introduction to conceptsIntroduction to concepts LabsLabs b Examples of Engineering Disciplines LabsLabs Departmental ToursDepartmental Tours b Design Project(s) Team basedTeam based Design, build, test, critiqueDesign, build, test, critique b Objective - Learn and Have Fun!

9. Governor’s School - Engineering Specialty Today’s Lab b Take Individual Pictures b Estabrook Computer Login – change password! b Web site login – UT NetID password b Enter your background information b Browse the web and find something of interest to you that represents a significant application of engineering b Informal two minute presentation: Introduce yourselfIntroduce yourself Describe your engineering example. Why did you choose it? What type(s) of engineering does it represent? Neat facts?Describe your engineering example. Why did you choose it? What type(s) of engineering does it represent? Neat facts? b Reading assignment - handout