approximated as shown below. Determine the approximate force exerted bythe cord on the carrier of the car. C B B 17 in 12 in A A 36 inFigure 2. Approximation of stretch cord path on top of canoe.Briefly stated, the solution proceeds as follows. From the given deformed geometry the length ofstretched cord can be found and average normal strain determined. Using Hooke’s law the aver-age normal stress can be found. Knowing the diameter of the cord the area of cross-section can befound and the internal tension in the cord can be determined. By equilibrium the
with central loadFor a constant cross-section rectangular prismatic beam, the section modulus, Z(x), is constantalong x leading to a constant flexural stress on the top surface with b(x) representing the width ofthe beam at any location, x and h(x) representing the height of the beam at any location, x, asshown below in Figure 3. h(x) b(x) Figure 3: Rectangular cross-section of beams in this paper Page 8.1272.2For a rectangular cross-section beam, the equation for the maximum flexural stress, σ(x), which is Proceedings of the 2003
a problem.To address the first hypothesis, the self-assessment responses for each course objective of eachstudent were averaged together and compared to his/her course grade. To place the course gradein numeric format the center of the MSOE grading scale for each letter grade was used (A=96.5,AB=90.5, B=85.5, BC=82.5, C=78.5,CD=75, D=71.5, F=50). (Of these only the choice of F wasrather arbitrary.) The data was then sorted on a course-by-course basis based on each student’scourse grade. The ratio of self-assessment average to course grade was then taken and normalizedto a scale of 1 (with a 1 meaning a student perfectly self-assessed, below 1 was an under-assessment of their ability, and above 1 was on over-assessment of their ability
set theory like set notations, set operations, definition offunctions is not taught well enough neither at high school nor at freshman math classes at manyuniversities. Students usually understand the notations like A Υ B or A Ι ( B Υ C ) , but thenotation f : A → B has to be explained. Also image and preimage of a subset seems to be newnotations for a majority of students. Cardinality of a set should be introduced (at least for finite Xsets) prior to introduction of the power set 2 to explain this notation. Indeed the notation Xbecomes natural from the equality | 2 | = 2| X | .Since engineering students tend to dislike the theory, they need to be
uncertainty and generate simple empirical models.3. Use physics-based and empirical-experimental models of engineering systems to evaluate proposed designs, conduct trade studies, and generate new design solutions.4. Understand the role of aerospace engineering in a wider social context including economics, policy, safety, the environment, and ethics among others.5. Communicate engineering results in written reports 5 , using clear organization, proper grammar and diction, and effective use of graphs, engineering drawings, and sketches.A further decomposition into individual learning objectives is shown in Appendix B. Theselearning objectives were established as part of the new strategic lifecycle (CDIO) orientation ofthe department [3,5]. This
. Page 8.514.1 “Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright 2003, American Society for Engineering Education” Over the past four years, more than 70 animations have been prepared using the software entitledVisual Nastran. They cover a wide range of mechanical devices, mechanisms, and manufacturingoperations. They complement the pictures and video segments which are shown of real machines inoperation. For instance, Figure 1 depicts a gear hobbing operation. A still of a video segment isshown in Figure 1(a), and a frame of an animation developed through Visual Nastran is depicted inFigure 1(b). The frame from the computer animation gives a far
. The reader may skip this part andsimply proceed to the next paragraph were hyperbolic lines and the hyperbolicdistance are defined. Suppose f is a curve segment in D, i.e., f is a differentiablefunction defined on the closed interval [a,b] with values in D. By the hyperboliclength of f we mean b 2 f '(t ) L( f ) = ∫ dt . (1.1) a 1 − f (t ) 2The idea of a `length’, such as the one in (1.1), is ubiquitous in the study ofRiemannian geometry where one introduces a `metric’ which then leads to the notionof a `length’. We say the endpoints of f are z1 = f ( a) and z2 = f (b) . A curvesegment which
body-centered cubic (BCC) and face-centered cubic (FCC) unit cells (Figure 1 a and b, respectively)and the same unit cells constructed using a commercially available kit (Figure 2 and b).Immediately, during the instruction the students are asked to work in groups to determine therelation between the atomic radius r and the lattice parameter a (assuming a hard sphere model),namely: 4·rBCC = 3 ·aBCC for a BCC metal and 4·rFCC = 2 ·aFCC for an FCC metal. Then thestudents work on other basic characteristics of both unit cells, such as, the number of atomsincluded in each unit cell, the atomic packing factor, and a generic expression of the theoreticalor volume density of different cubic metals
Copyright © 2003, American Society for Engineering EducationFig. 9. MADCAT ac analysis of the circuit of Fig. 2. The excess phase shift above 100kHz isdue to the limited gain-bandwidth product of the model of the operational amplifier.How MADCAT worksCircuit-analysis texts stress systematic methods for setting up network equations for solution.One method of hand analysis for finding the unknown branch currents in a network of b branchesand n nodes to is to apply Kirchhoff’s Current Law (KCL) at n–1 nodes and Kirchhoff’s VoltageLaw (KVL) around b–(n–1) loops or meshes [1]. This gives a unique solution for the branchcurrents from which node voltages can be calculated. Systematic rigorous approaches suitablefor computer implementation and based upon
Electrical and ComputerEngineering. They were administered a survey instrument after taking the third exam, slightly pastmid-semester. They were asked to respond at that point in time and to respond as they wouldhave at the beginning of the semester. The distributions of the student responses are shown inthe six following tables. For example, for item 1, 21.7% of the students chose response (a) astheir pattern of behavior at the start of the semester, 43.5% chose response (b), and 34.8% choseresponse (c).Using the marginal homogeneity test for significance, an extension of the McNemar test and tests Page 8.1004.3“Proceedings of the 2003 American
AssignedTeam A is the team reconstructing the sorter system, and Team B is the team that wrote theoriginal report.Task 1. Gather all materials needed to make the sorter. A detailed list should be in the report.At the end of the exercise, Team A will give Team B a score from 10 to 0 for this task. A scoreof 10 means that the list was complete and 0 means that no list was provided in the report.During the final grading of the report, instructors will verify that the score is reasonable.Task 2. Build the parts of the sorter system as they were described in the report. Team A willassign a score from 10 to 0 for this task. A score of 10 means that all parts could be built withouthaving to make assumptions. A score of 0 means that there were no drawings and
. Asthe computer science field matured and accredited computer science programs began appearingin the universities, more attention was focused on secondary school programs. With fewexceptions, most secondary school programs fail to address the issues motivating this project,namely: a) providing students with a broad understanding of software development early in theireducation; b) dispelling myths about software development careers; and c) motivating students(especially females and minorities) to further study in this field. What is needed in mostsecondary school curricula are new modules providing students with the necessary breadth tounderstand software development career opportunities. In 2001, a pilot project, an innovativesecondary school
under the ABET Engineering Criteria 2000. Few years ago theCivil Engineering Department started a critical review of all aspects of its program to determinethe changes, or enhancements needed to satisfy Criterion 1-8. The outcomes of the reviewproved that our program satisfied the majority of the ABET 2000 criteria. The only area ofconcern was item b of Criterion 3. Program Outcomes and Assessment “Engineeringprograms must demonstrate that their graduates have the ability to design and conductexperiments, as well as to analyze and interpret data”. The department’s discussions and debatesfocused on the appropriate year in undergraduate education to achieve this goal. The departmentspent a considerable amount of time studying the background in
Presentation Rubric IIEFFECTIVENESS – 20 pts 1. Superior a. Reviewed needs of audience and provided an initial slide to indicate how their questions will be answered. b. Considered background of audience and provided them with the background information they would need to understand objective c. Provided continual reference to major points of audience interest to build case for objective d. Provided summary slide to focus final attention e. Utilized effective visuals to provide information and maintain interest f. Utilized analogies and/or examples that were specific to audience 2. Adequate a. Audience needs were addressed during the presentation b. Utilized
first-year student by introducing him or her to engineering design through five design projects.Specifically, the goals of the project are to:1) Create a “portable” first year Introduction to Civil and Environmental Engineering (ICEE) course based on the Sooner City program.2) Assess the success of the ICEE course at meeting the following global objectives: a) Stimulate interest in engineering among freshmen; b) Provide freshmen with an understanding of the breadth of the civil and environmental engineering profession; c) Positively impact retention of freshman civil and environmental engineering students.3) Provide course materials on a web page to
, Page 8.1131.7 Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright 2003, American Society for Engineering Educationto derive the present worth of this future (n years from now) amount, it must of course bediscounted by division by (1 + i)n .EXAMPLE 9: $500 per year is saved in an energy recovery project that has a life of 6 years. The interest rate is 10%. (a) Compute the total amount of money saved not including interest. (b) Compute the total amount of money saved including interest. (c) Compute the present value of the total saving found in part (b). (d) Compute the present value of the total savings
Design Project.Teaching modeA key feature of the course is that adjunct professors, who are practicing engineeringprofessionals, teach the laboratory sections supported by teaching assistants. These professionalshave played a major role in the course development. While they come from various disciplines,they have all had extensive of using electronics and instrumentation and can bring a “real world’perspective to the course. The students respond well to this.Bibliography1. K. Sheppard and B. Gallois, The Design Spine: Revision of the Engineering Curriculum to Include a Design Experience each Semester, American Society for Engineering Education Annual Conference Proceedings, Charlotte, North Carolina, June 1999, Session 3225.2. R.B
Systems, Inc., Interactive Roark’s Formulas URL: http://www.roarksformulas.com/3. Mechworks Software, Inc. Solving Mechanics of Materials Problems with MATLAB, Prentice Hall, 1999.4. The MathWorks, Inc, URL: http://www.mathworks.com (a) (b) Figure 1 Mohr Circle Showing Principal Stresses and Maximum Shear Stress Page 8.840.3 3 (a) (b) Figure 2 Shear Force and Bending Moment Diagrams of Beams (a) (b) Figure 3 Column
such topics are rooted in computerscience and can be found in, e.g., 17, 18, 36. In this paper we limit our focus to a single aspect ofconstraint theory; specifically, we consider in the next section the pictorial representation ofmathematical relations in the form of constraint graphs.2.2 Anatomy of a Constraint and its GraphConstraints have been called functions, requirements, relations, and rules in the literature. Despitethe abundance of terms, a constraint is simply an explicit relationship among variables typicallystated in the form of a mathematical expression. For example, the constraint represented by theequation a = b × c relates the variables {a, b, c} utilizing the operators {= , ×}, thereby specifyinghow allowable values are
one example of using TEST forproblem solving and parametric studies for a fairly complex problem. o 3EXAMPLE Moist air 40 C and 90% R.H. enters a dehumidifyer at the rate of 300 m /min with a ovelocity of 10 m/s. The condensate and the saturated air exit at 10 C through separate exits. Thepressure remains constant at 100 kPa.Determine (a) the mass flow rate of dryair, (b) the exit velocity (assume theexit area to be the same as the inletarea) (c) the water removal rate, and (d)the required refrigeration capacity, intons. (e) What-If Scenario: Howwould the answer in part c change if
of engineering importance but fall outside the boundaries of a traditionalclassical Applied Engineering Mathematics Course. They include a) Markov processes tomodel the transitional forecasting process that can be defined as fact to fuzz, b) theGlobal Positioning System problem of determining position by finding the intersectionpoint of spheres, c) 2nd law analysis of thermodynamic cycles to develop the ideal fuelburning engine based on the varying temperature combustion products which are thesource of heat, d) development of a finite element model of a cooking hotdog withconstant and with temperature dependent conductivity, e) statistical analysis of the riskassociated by launching a rocket outside the experience envelope as defined by the
, Page 8.385.2 Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright © 2003, American Society for Engineering Educationwhich is the keystone of this design. This comparator takes two four-bit straight binary orBCD and compares them mathematically. The final result is shown on the three differentoutputs, A=B, A>B and A
comes to a quality goal [3]. The Six-SigmaMethodology is new enough that, while much is written about its success or potentialfor success, only the four major steps of working a Six-Sigma project are thoroughlydocumented. These are a) Measure a process, b) Analyze the process, c) Improve it,and d) Control the process rigorously for consistency [4].Fontenot, et al. [5] lists six items needed for successful introduction of a Six Sigma program: q Management commitment & momentum q Identify product or service provided q Identify customers and what they consider important q Identify what you provide that satisfies the customer q Define the process for doing work q Mistake-proof the process and eliminate wasted effortIII. The
tube. Producing this part requires a sequence of different types of operations. This projectsimulates a common scenario in engineering field: when design changes, the sequence of theoperations will change correspondingly. In this case study, students are first asked to work ingroup to produce a trial part, which has simpler geometry (Figure 3 (a) and (b)). To help studentsfind the solution to produce the part, instructors pose some questions as hint and guidance. Page 8.826.4 Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright © 2003, American Society for
, whetherlinear, multiple, or polynomial.Synopsis of Linear Regression. A few results from linear regression analysis are needed to supportthe development of the uncertainty calculations that are presented below. For a linear regressionmodel with one independent variable, the regression model is yest = c + b x (4)This model has two parameters, the constant and the coefficient. In general the ResidualVariation, RSS, is the squared deviation between the model values and the experimental data, or n n RSS = ∑ ( yi − yest )2 = ∑ ( yi − c − b xi )2
. Quizzer was developed usingAsymetrix's Multimedia ToolBook3 for Windows platforms and network distribution. Incontrast, the applications developed as a part of the investigation reported herein function in aWindows 95 or later environment without the need for any additional authoring tools. Theauthor implemented the applications in Visual Basic8.3.1 Questionnaire DesignThe investigator established the following set of criteria for the application used in questionnairedevelopment: (a) Using existing questionnaires as resources for developing new ones; (b) Importing a questionnaire item via cut-and-paste operations and editing text to suit the purposes of the new questionnaire; (c) Modifying questionnaire structure
with +-grades. Where an A- is 3.75, B+ is 3.25, B is 3.00, B- is 2.75, etc. Not surprisingly, students thathad one semester of high school calculus averaged almost a letter grade higher (B+/A- vs. C+/B-)2 Honors Calculus is an accelerated course that reviews Calculus 1 and covers Calculus 2. Students who get a C or Page 8.1304.5above in Honors Calculus are then given advanced placement for Calculus 1.3 Note that A = 4, A- = 3.75, B+ = 3.25, B = 3, etc.Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright © 2003, American Society for Engineering
. Lighting design criteria and procedure. 3. Preliminary design considerations. a. Energy considerations b. Cost considerations. c. Types of lighting systems. d. Functional objectives: artistic effect, computer workstation, or safety. 4. Luminaires types, sources, characteristics and efficiency. 5. Detailed design calculations and laboratory measurements. a. Lumen method. b. Illuminance and brightness. c. Coefficient of utilization. d
8.235.3 Proceedings of the 2003 American Society for Engineering Education Annual Conference & Exposition Copyright 2003, American Society for Engineering EducationThe focus is now on the Body of Knowledge (BOK). The BOK is defined as the knowledge,skills, and attitudes necessary to become a licensed professional engineer. The BOK is fulfilledvia the Bachelor’s plus Master’s or equivalent education – and appropriate practical experience.This resulted in yet another expression, “B + M/30 & E,” the acronym for “Bachelor’s PlusMaster’s or 30 Credits & Experience.”Bachelor’s Plus Master’s Or 30 Credits: “B + M/30 & E”TCAP^3 is using “B + M/30 & E” to express the total post-secondary formal education
. Krantz, W.B. and J.G. Sczechowski, Scaling Initial and Boundary Value Problems − A Tool in EngineeringTeaching and Practice, Chemical Engineering Education, 28(4), 236-253 (1994).4. Krantz, W.B., Dimensional Analysis: A More Effective Way to Teach and Implement It, Chemical EngineeringEducation, 34(3), 216-221 (2000).5. Kopaygorodsky, E.M., W.B. Krantz and V.V. Guliants, Scaling Analysis – A Valuable Technique in EngineeringTeaching and Practice, 2001 ASEE Annual Conference and Exposition Proceedings, June 24-27, 2001,Albuquerque, NM (available on CD-ROM).WILLIAM B. KRANTZWilliam B. Krantz is a Professor of Chemical Engineering and the Rieveschl Ohio Eminent Scholar at theUniversity of Cincinnati. He received a B.A. in chemistry in 1961 from