(basketball goal) This example introduced the students to eccentric loading problems and how they createmultiple stresses. The instructor began by showing a two minute YouTube video showing aseries of NBA slam dunks. A class discussion was then initiated discussing what types ofstresses the basketball support structure was subjected to. Calculations were then presented for Page 15.1015.5axial and bending stress at two different points (A and B below) for a very simplified model of abasketball goal as shown in figure 1 with equations 11-13. A follow-up discussion was alsofacilitated reminding the students of the difference between static and
AC 2010-2422: INTEL: PRESENTING REALISTIC EXERCISES IN A STATICSCLASSChristine Valle, Georgia Institute of TechnologySue Rosser, Georgia Institute of TechnologyJanet Murray, Georgia Institute of TechnologyWendy Newstetter, Georgia Institute of TechnologyLaurence Jacobs, Georgia Institute of Technology Page 15.786.1© American Society for Engineering Education, 2010 InTEL: Presenting Realistic Exercises in a Statics ClassAbstractStatics, a foundational engineering course, introduces a unique approach to problem solving,which is characterized by model-based reasoning. The major intended course outcome is forstudents to develop the ability to create and utilize
, and the economic world. Reading, MA: Addison-Wesley.4. Wilson, B. and M. Ryder. (1996). Dynamic Learning Communities: An Alternative to Designed Instructional Systems, in Proceedings of Selected Research and Development Presentations at the 1996 National Convention of the Association for Educational Communications and Technology Indianapolis, IN.5. Bransford, J.D., A.L. Brown, and R.R. Cocking. (2000) How People Learn: Brain, Mind, Experience, and School. Washington, D.C.: National Academy Press.6. Daniels, M. and A. Hauer. (2007). Balancing Scaffolding and Complexity in Open Ended Group Projects, in ASEE/IEEE Frontiers in Education Conference: Milwaukee, WI.7. Vygotsky, L. (19778) Mind in Society
horizontal flow velocity component, w is the vertical flow velocity component, g is the acceleration due to gravity and ϕ∀ is free surface elevation. Then, horizontal and vertical flow velocities can be accounted for while deriving thepartial differential equations. ÷ϕ ÷ 1 3 ÷ 3u b − [( h − ϕ )u b ] ? h ÷t ÷x 6 ÷x 3 ÷u b ÷u b ÷ϕ 1 2 ÷ 3 u b − ub −g ? h ÷t ÷x ÷x 2 ÷t ÷ 2 x It is normal practice to solve a system of conservation equations of an integral modelusing a fourth order Runge-Kutta technique. The ultimate objective is to obtain a set ofnumerical solutions
and a Professor of Mechanical Engineering at Penn State, where he has been on the faculty since 1985. His work in engineering education involves curricular reform, teaching and learning innovations, faculty development, and assessment. He teaches and conducts research in the areas of combustion and thermal sciences. He was selected as a Fellow of ASEE in 2008. He can be contacted at tal2@psu.edu.Christine B. Masters, Pennsylvania State University Christine B. Masters is an Assistant Professor of Engineering Science and Mechanics at The Pennsylvania State University. She earned a PhD from Penn State in 1992.She has been teaching introductory mechanics courses for more than 10 years
faucet. Does it cause by the friction or what? I can physically do that, but I can not explain it. Also, it encounters the content in this module. Secondly, could I make the the clockwise as the positive sense instead of the negative on as it shows here? Thirdly, I think I found a mistake in EXAMPLE: Quantifying Couples 5. It forgets to mention the force E involved in order to for me to find another correct force to balance forces A,b,c,d and E. The most confusing part of this module for me was under "Quantifying Couples". I understand why the Couple Moment can only occur when the net force is equal to zero and when there is a perpendicular distance between the two opposite and equal forces. But, I
AC 2010-832: USING THE DYNAMICS CONCEPTS INVENTORY AS ACONTINUOUS PROCESS IMPROVEMENT METRIC FOR IMPROVINGSTUDENT LEARNING OUTCOMESJ. Shelley, United States Air Force Page 15.1342.1© American Society for Engineering Education, 2010 Using the Dynamics Concepts Inventory as a Continuous Process Improvement Metric for Improving Student Learning OutcomesAbstract Having objective metrics to assess student assimilation of the concepts on whichthe study of Dynamics is based makes it possible to implement Continuous ProcessImprovement on the teaching of this junior-level dynamics class. Over seven semesters,the Dynamics Concepts Inventory was
methods that are used in determining statically indeterminate reac-tions and deflections of elastic beams include: 2 - 1 2 method of integration (with or without the useof singularity functions), method of superposition, method using moment-area theorems, methodusing Castigliano’s theorem, method of conjugate beam, and method of segments.The method of model formulas1 is a newly propounded method. Beginning with a general presetmodel loading on a beam, a set of four model formulas are established for use in this method.These formulas are expressed in terms of the following: (a) flexural rigidity of the beam; (b) slopes, deflections, shear forces, and bending moments at both ends of the beam; (c) typical applied loads (concentrated force
the stress isthrough a stress concentration factor. Similarly, a circular hole drilled through a beam loaded inbending is also a stress raiser with its own stress concentration factor. In this study the analyticalsolutions to the stress concentration factors for both the tensile and cantilever specimens due to acircular hole have been compared with experimental and numerical methods.First, the students are introduced to the concept of stress concentration factor and the analyticalresults of stress concentration factors for various test specimen geometries are outlined.Experimental studies on stress concentration factors are conducted for (a) bar with a hole intension and (b) cantilever beam with hole in bending. Then the numerical solutions
proactive measures and do not need to wait until the semester is over.Research Method of the Present StudyA total of 239 undergraduate students in three semesters were included in the present study todevelop and validate the predictive, regression-based model. The following paragraphs describethe research method step by step.Step 1: Collected data on student academic performance in Semesters A, B, and C. Descriptiveanalysis was performed to develop a fundamental understanding of the collected first-hand data.Step 2: Randomly split the full dataset collected in Semester A into a training dataset and atesting dataset. First, the students’ final exam scores (maximum: 100) were divided intodifferent levels: 100-90, 89-80, 79-70, 69-60, and below 59
, introduction of thetheory and equations is linked with example problems presented on worksheets. For thisparticular concept, the worksheet problem is based on a ferris wheel. Figure 1 presents both theworksheet problem, as well as the associated diagram. Problem 4: The ferris wheel shown rotates counterclockwise about point O such that at a given instant the acceleration of point A is aA = - 80i - 60j fps2. At this instant, what are the tangential and normal components of the acceleration of point B? What is the velocity of point B?Figure 1: Worksheet Problem Statement and Diagram for Rotation About a Fixed AxisThe motion for this particular problem is not complicated, and the diagram alone or incombination with
might be required to determinea solution. Answer the following: a. How can you model this support system? b. What factors affect cable loads? c. In terms of design, how can you reduce cable loads to prevent failure? d. Write down a list of questions you might have about the challenge. Page 15.397.9 For questions 8 – 11 refer to the figure shown below. A man shown in the figure pulls on the cord with a force of 70 lb. 1) Determine the position vector r along the length of the cord going from point A towards point B. a. rAB ={–12i – 8j + 24k} ft
F F = = B A B A F section of cable, F F F F
education (Streveler, et al., 2008).Many have included these in different presentations, and one of the authors helped to develop theDynamics Concept Inventory (Gray, et al., 2004). Multiple choice type questions can bepresented where students think about questions individually and/or discuss them in small groups.Team Homework ProblemsAt the beginning of the quarter, each student was assigned a letter A through D. Each week,each letter is assigned a specific homework-style problem to work out. Their solution shouldinclude guidance and explanation for their classmates, similar to a textbook example problem.On Mondays, pre-assigned teams (each with one A, B, C, and D member) met in groups andeach member presented their solution to their team. By
aparticularly strong student to move to sit beside a weak student and to give them special help.This past semester a student who was failing at midterm was paired with an A-student withexcellent communication skills and, much to his surprise, the weak student completed the coursewith a B. In turn, the A-student learned about the satisfaction of teaching.Real-time Assessment: In addition to observations of students during in-class learning exercises,we use some technology to assist in assessment and motivation. Because students are required tocritically read the text prior to each class, we often begin class with a few “clicker questions” asthey have become known due to the use of the i>clicker. These consume only five minutes or soand they can cover
) - E(Y)where E(X) is the expected value (mean) of X, E(Y) is the expected value of Y,E(X + Y) is the expected value of X plus Y, and E(X - Y) is the expected value ofX minus Y. Page 15.922.7 6Linear functions of Random Variables6,8One of the most commonly encountered transformations of the random variable Xis the linear transformation given byY = a*X+bwhere a and b are constants. The means and variances of X and Y randomvariables are related. Thus,E[Y] = E[a*X+b] = a*E[X] + b or y0 = a*x0 + b where superscript on x and yrefer to mean of random variables X and Y, respectively; andVar[Y] = E[(Y-y0)2] = a2
particles A and B that are, say, assumed to be moving in the sanle direction before aswell as after central impact with absolute velocities VA and VB' respectively, the linear impulseon the particle during restitution, r~dt 'd rId , divided by that during deformation, Jo Fd (t )dt is calledthe coefficient of restitution (COR) and given the symbol e [3]. e= (3)Here, FrCt) and Fit) are the resultant forces that are applied instantaneously to the ball during therestitution and
curriculum, student performance during the summer2009 semester of Statics (115 students) was compared to performance in seven prior coursestaught by the author between 2005 and 2008. At the University of Louisville, student co-opexperiences are required and thus three full semesters are conducted each year. As such, whenstudents are in sequence, Statics is normally scheduled for the summer semester of theirsophomore year.Figure 4 displays a comparison of the grades for the previous courses and for the Summer 2009session. As shown in the figure, it appears that there was a significant shift of students to highergrades. Many of the “B-C” students appear to be in the “A-B” range. Unfortunately, the “F”students appear to have benefited little from the
damping. iii Compute the natural frequency and predict the response for a machine with a rotating unbalance.2. Students will have the ability to design and conduct experiments, as well as to analyzeand interpret data. (ABET Criterion b)Performance Criteria iv Practice vibration measurements on a structure using state-of-the-art equipment, rigor and documentation. v Analyze the data from an experiment appropriately. vi Assess the validity of the experimental results and compare with theoretical results when possible.3. Students will have the ability to identify, formulate, and solve engineering problems.(ABET Criterion c)Performance Criteria vii Compute the
Page 15.456.3our redesign effort along with results of the pilot and full implementation phases of Staticsredesign at Mississippi State University. We also discuss the results of a survey to highlight theviews of students on the redesign initiative and our implementation of the emporium approach,in particular.Performance TrendsOn average, four sections of Statics are offered in the spring, two in the summer, and seven inthe fall semester with multiple instructors in each term. Over a four-year period from Fall 2001to Spring 2005, 1024 students took Statics at Mississippi State University and received a lettergrade (A, B, C, D, F, or W). Table 1 shows the numbers of students under success and failurecolumns for each semester. The number of
expected. The authors intendto report on these results at the time of the paper’s presentation, if they are available.References:1. Bloom, B. S., and D. R. Krathwohl. 1956. Taxonomy of educational objectives: The classification of educational goals. New York, NY: Longmans, Green, and Co.2. Dollár, A. and Steif. P. S. 2003. “Learning modules for the statics classroom”, Proc. Proceedings of the American Society for Engineering Education Annual Conference & Exposition. Nashville, TN. 3. Gramoll, K. 2007. A web-based electronic book (EBOOK) for solid mechanics. Proceedings of the American Society for Engineering Education Annual Conference & Exposition, Honolulu, HI.4. Gramoll, K. 2009. eCourses. http://www.ecourses.ou.edu
the graph sheet can be frustrating and get in the way. • It would be better if we figured more out on our ownConclusionIn this paper, the author describes the steps and thought process of developing the fill-insheets that have enabled him to a) increase interactive engagement, b) includecooperative learning and c) implement peer instruction. The fill-in sheets have enabledthe instructor to try differentiated instruction in the class room, by adding symbolicsolutions to challenge the advanced student, while helping the average and below averagestudent solve the basic problem using numbers. (Note : The author is making anassumption based on statics readiness test where student exhibit weakness in algebra).The number of example problems
engineers.The particular modules have all been class tested in the lead author’s classes and havebeen modified over several years so as to be challenging and yet not so difficult as to beoff-putting. By combining visualization and analysis, students from both camps (visual andwritten learners) have shown success at tackling the various exercises.The modules can be used in a variety of class levels, with goals appropriately shaped toreflect the course user groups.IntroductionThe first author has observed over time that students in his class have recently exhibited atendency to be more focused on analytics and to have a relatively poor skill set with regard tophysical intuition. This fact has been widely observed by others and is clearly due to
AC 2010-1310: COMPOSITES IN UNDERGRADUATE EDUCATION: ANIMPROVED UNDERSTANDING OF MECHANICSTimothy Hodges, Virginia Military Institute Dr. Timothy Hodges is the Professor and Head of Mechanical Engineering at the Virginia Military Institute.Jon-Michael Hardin, Virginia Military Institute Dr. Jon-Michael Hardin is a Professor of Mechanical Engineering at the Virginia Military Insitute. Dr. Hardin received his Ph.D. in Theoretical and Applied Mechanics from the University of Illinois at Urbana-Champaign. Page 15.300.1© American Society for Engineering Education, 2010 Composites in