EUSCSpring 2014

EGR 102 Update

Application of systematic approaches to engineering problems. Problem decomposition and identification of a solution approach. Solution using tools such as advanced spreadsheet features and MATLAB. Data representation, curve fitting and analysis. Mathematical modeling of engineering systems. Application of principles through team-based engineering projects.

Prerequisite◦ (EGR 100 or concurrently*) and ((MTH 132 or

concurrently) or (MTH 152H or concurrently) or (LB 118 or concurrently))

Course Description

*math ready students are taking EGR 102 1st due to enrollment issues100 is in the process of being removed as a pre-erq

Students will be able to:• systematically solve engineering problems by

decomposition to determine solution approaches• solve problems using appropriate computational

tools• graphically portray data in meaningful manner

using spreadsheet programs & advanced computational environments

• write programs to solve problems & model systems• interpret & communicate results

EGR 102 Course Learning Objectives

Lecture once a week◦ Hard copy of homework◦ Quiz over prior week topic

2 80 minute labs/week◦ 1 TA◦ 2-3 mentors per lab (goal is ~10 to 1)◦ Electronic submission for each lab

Instructional Model

Enrollment Fall 2013

◦ 351 students◦ 1 lecture section◦ 10 Lab sections

Spring 2014◦ 780 students◦ 2 lecture sections◦ 18 Lab sections

Topics Covered in Lecture and LabLecture Lab

Conservation Law Cost Engineering Matrix Math

◦ Gaussian Elimination Curve Fitting

◦ Linear Regression◦ Polynomial Regression

Structured Programing◦ Flow Charting

Root Finding Optimization Numerical Integration ODEs

Introduction to Excel (4 labs)◦ Basics◦ If functions and nested If functions◦ Solver◦ Matrix Multiplication (MMULT)◦ Trend lines and error bars

Introduction to MATLAB (14 labs)◦ Basics◦ Scripts◦ Functions◦ Vectors◦ Plotting◦ Iterative Programming◦ Nested Programming

Project (6 Labs)◦ Writing

Exams, Final wrap up (5 labs)

General subject selection is process driven for skill set development

Matching WeeksLecture Lab Cost Engineering

◦ Homework requires both hand calculation and Excel work using intrinsic functions

Matrix Review and Gaussian elimination◦ Homework emphasizes

systematic approach Bisection and Newton-

Raphson Root finding

Excel Basics and Functions

MATLAB Introduction lab homework focuses on matrix manipulation

Iterative programming application of Newton-Raphson

Nested Programming and functions application is Bisection method

Time value of money Cost, including incremental, average,

sunk, and estimating Economic analyses Depreciation

Cost Engineering

All options need to be evaluated at the same ‘time’◦ Present worth analysis

EGR 102Lecture 02 9

Cash Flow Diagram

Present WorthOption 1 $1,000,000.00Option 2 $641,057.64Option 3 $1,227,826.51

Root finding◦ Good mathematical formulation◦ Specific criteria to follow◦ Algebraic equations ◦ Comparison criteria easily understood

Bisection Method

Flow Chart xl , xu, Lmin

Start

Calculate estimated root:xr = [xl+xu)/2]

(xu – xl) ‐ Lmin

F(xl)*F(xr)

xu=xr

<0

>0>0

F(xl)* F(xr)]=0

<0

xl=xr

Stop

%Calculate xR and

xR=(xU+xL)/2;

%Calculate f(xr) and f(xL) fR=f_5A(xR); fL=f_5A(xL); %If fR*fL is greater than zero, xL becomes xR, if it is less than zero, %xU becomes xR. if (fR*fL)>0;

xL=xR; else (fR*fL)<0;

xU=xR; end %Update counter

counter=counter+1; L=xU-xL;

end %Define the outputs root=xR; iterations=counter;

function [ root,iterations ] = bisection2( xU,xL,Lmin ) % Inputs: xU, upper limit of interval % xL, lower limit of interval % Lmin, tolerance% Outputs: root, final root after iterating % iterations, number of iterations performed %------------------------------------------------------------------------- %Evaluate f(xu) and f(xl) by calling function f_5A fU=f_5A(xU); fL=f_5A(xL); %Display an error message if the interval supplied is not validif (fU*fL)>0

error(':( The equation does not cross the x-axis in the interval supplied') end

%Initialize counter by setting it equal to zero. Initialize interval lengthL=xU-xL;counter=0; %Create the While loop to perform the bisection method while L>=Lmin

MATLAB

Wastewater Treatment Plant: Lift station Pump design◦ Develop system curves from data◦ Manipulate given data in Excel, produce file that is

imported to MATLAB Requires use of Excel help for Table look up

◦ Create distinct vectors from imported data◦ Write code for calculation of head loss

Requires use of MATLAB help for intrinsic 2nd order polynomial fit

◦ Create plots of system curves to select pump◦ Annual Cost analysis of pump options

Current Project

CoRe Experience 15

Bumper crash analysis Data from local design house Objective:

◦ Maximize energy absorption◦ Optimize key radii & material thickness

Tasks:◦ Evaluate design at key points◦ Generate & filter force-deflection curves◦ Calculate energy by numerical integration◦ Surface curve fit energy, stroke & stress data◦ Optimize design

EGR 102 Prior Project

February 27, 2014

15 20 25 30 35 40 45 50-20

0

20

40

60

80

100

120

140

Deflection (mm)

Forc

e (k

N)

Deflection vs Force Bumper 3

2830

3234

3638 3.5

44.5

5

20

22

24

26

28

30

32

34

Thickness (mm)

Maxiumum Stroke Surface Plot

Radius (mm)

Sro

ke (m

m)

Problem Solving◦ Thought process ◦ Engineering Approach

Select the best tool for solution◦ Calculator◦ Excel◦ MATLAB

Overriding Theme

ChallengesCourse perspective Students perspective 2 credit course Instructional Model

◦ Number of students◦ Moving away from text◦ Requiring purchase of

MATLAB and Calculator Computer skills from HS

◦ Range from none to extensive

Transference?

RAM of calculator (TI-83)◦ 25 by 25 matrix inversion

But I can just right click…

YouTube said… Wolfram alpha Academic Dishonesty