a car around a race track to derive the kinematic relations (see Fig. 1). A Track and Some Cameras Camera 2 Camera 2 x2 P 2 P1 x2 y2 rB/2 y2 P3 B rB/1
of NASA)3.1.2. Kansas City Hyatt Regency Walkway Collapse Page 13.845.4The collapse of Kansas City Hyatt Regency Walkway illustrates the impact of simple mistakes incomputing the equilibrium of a one-dimensional system. In the original design, the second andfourth floor walkways were suspended using a set of steel tie-rods as shown in fig. 2(a). Duringthe construction stage, the design was modified to suspend the second floor from the fourth flooras shown in fig. 2(b). The nut originally designed to take the load of one floor began carrying thetotal load of two floors. On July 17, 1981 during a tea dance contest, the two walkways collapsed
toprovide a physical feel for three-dimensional kinematics. In the 3D Matlab simulation project,students were first provided a description of how the simulator moves. The team of 3-4 studentscreated a physical model of the simulator with a representation of the different axis systems. Thismodel was used to help the teams develop coordinate transformation matrices between thedifferent axis systems. The angular velocities for each of the different motors (planetary, pitch,and roll) were provided to the student teams and they were asked to determine (a) the angularvelocity and acceleration that a pilot in the gondola would experience and (b) the linearaccelerations at the pilot’s head (i.e., the vestibular system). After calculating the inertial
Mechanics,” Proceedings of the 2006 ASEE Annual Conference, Chicago, IL, 2006.7. Elahinia, M., C.Ciocanel, “Redeveloping the Mechanics and Vibration Laboratory: A Problem Solving Approach,” Proceedings of the 2006 ASEE Annual Conference, Chicago, IL, 2006.8. Amir G. Rezaei, A. R., A. Davari, Teaching Vibration and Control courses using Animation, Simulation, and Experimentation,” Proceedings of the 2005 ASEE Annual, Portland, OR, 2005.9. Bilal, B., H.R. Kess, and D. E. Adams, “Development of a Roving Laboratory in Vibrations for Undergraduate Engineering Students,” Proceedings of the 2003 ASEE Annual Conference, Nashville, TN 2003.10. Poincare, H., 1903, “Bibliotheque de Philosophi Scientique”, Paris, English
Test beam Strain gage deflection gage mount load cell mount Turnbuckle Deflection Load cell gage telescoping member Strain (a) (b) indicator
(a) (b)Figure 4: (a) First and (b) Second Mode Operation of Smart Flexible Beam Bode Diagrams From: U(1) 20 0 Phase (deg); Magnitude (dB) -20 -40 -60 -80 0 -50 To: Y(1
d B a stop. The deceleration of the truck is con- A stant and it is able to come to a complete stop after braking for a distance of 350 ft. Deter- mine the minimum coefficient of static friction between the crate A and the truck so that the crate does not slide relative to the truck. Road Map We know that the crate doesn’t slip relative to the truck, though slip must be impending since we want the minimum µs . We can find the acceleration of the truck since we are given
beam methodneeds in finding solutions for deflections of loaded beams, (b) more support conditions thanboundary conditions are usually known for beams in neutral equilibrium, and (c) the conjugatebeam method often works better than other established methods in determining deflections ofbeams. It is demonstrated in this paper that the conjugate beam method does find the likely, orunique, deflection of a loaded beam in neutral equilibrium.I. IntroductionAll beams considered in this paper are elastic beams, which are longitudinal members subjectedto transverse loads and are usually in static equilibrium. A beam is in neutral equilibrium if theforce system acting on the beam is statically balanced and the potential energy of the beam in
. Page 13.1313.5 (a) Mb = ML = 3/2My (b) Mb = ML = -3/2My 1/ñ = 1/Ro Ä 1/Ro = 3/2(1/ñ)y (c) Mb = 0 1/ñ = 1/R1 = 1/Ro - 3/2(1/ñ)yFigure 5. Residual stress distribution in a rectangular bar.Generation of Surface Residual Stresses from Surface GrindingMany research studies have been done on the stresses induced in steels by surface grinding. Inany grinding process there are numerous variables which can influence the residual stress in thesurface and sublayer of material. Some important ones are the mechanical properties, structure
AC 2008-741: LESSON STUDY FOR A DISTANCE EDUCATION STATICSCOURSEMark Holdhusen, University of Wisconsin - Marathon CountyChrista James-Byrnes, University of Wisconsin - Barboo/Sauk CountyLuis Rodriguez, University of Wisconsin - Waukesha Page 13.847.1© American Society for Engineering Education, 2008 Lesson Study for a Distance Education Statics CourseAbstractA lesson study by definition is a process where faculty develop, teach, observe, analyze, andrevise a single lesson for a single class period. The objectives are to understand student learning,create useable lessons, improve teaching, and build knowledge of pedagogy using a manageableunit of analysis. A
overhanging beam is subjected to a distributed load and a concentrated force as shown inFigure 1 (a) Develop a program to do the following:Part 1: Plot the distribution of shear, moment, slope, and deflection along the length of the beam for the following values of beam and loading parameters: w = 2 kip/ft, P = 8 kip, L = 20 ft, a = 7 ft, E = 29000 ksi.Part 2: Determine the principal normal and shearing stresses at point D (shown in Figure 1) located at the distance of x = 8 ft away from the left support and at the distance of y = 2 in. above the beam’s neutral axis. Solve this problem for the beam and loading parameter shown in part 1 and for the following beam cross-sectional dimensions: b = 5 in, h = 8 in
orientations of parasitic elements, for which parameters are chosen to be the same in the xand y directions at each point. The links are drawn, where possible, so that all quantities(including angles) have positive values. In Figure 4, angle s3 is instantaneously negative.Drawing link 3 as in Figure 5 makes it clear that y B 3 ? y G 3 / A3 G3 sin 3 . A common student Page 13.1168.6error would be to examine Figure 4 and state that y B 3 ? y G 3 - A3 G3 sin 3 . The positiveorientation of Figure 5 also facilitates consistent definition of spring displacements as positive intension, and assignment of the correct algebraic sign to resulting constraint forces
length prediction will befairly sensitive to any variation in or . This conclusion is consistent with a qualitative fact wellknown to golfers: fast greens are hard to putt on. Note that the coefficient of restitution can bedetermined from the well known drop test ( e ? h1 h2 , where h1 is the drop height and h2 isthe bounce back height) provided that proper support of the club head is available. If not, theball can be dropped onto a flat surface made of a material that possesses a similar elasticmodulus to that of the club head. Lastly, observe that for the limiting case of a perfectly elasticcollision (so e ? 1 ) with a heavy club head so that m / M B 0 , xmax B 4h / or .A summary of major requirements for student design teams is as follows:1
probe studentmisconceptions4. Coupling concept inventories with interviews to better understandstudent misconceptions is now emerging in engineering as well1,19.A few years ago, colleague Adeeb Rahman, student Josh Bostwick, and I conducted aseries of student interviews20. We did not publish the results, which I summarize here.We selected three students who had completed Dynamics whose final grades were A, B,and D (the D-student was viewed to be an under-achiever). Each student was asked tosolve four homework-type problems (one per week) from Statics and Dynamics in astructured interview format in our presence. Working under the premise that studentslearn, in part, through being allowed (and even encouraged) to pursue their ownerroneous
challenge is a lower difficulty level problem dealing with the topic. Thestudent is provided with information needed to understand the challenge. In the engineeringdesign process, this is the stage of problem definition. The steps shown below represent theremainder of the cycle, which prepare the students to complete the challenge. a. Generate ideas: Students are asked to generate a list of issues and answers that they think are relevant to the challenge; to share ideas with fellow students, and to appreciate which ideas are new and to revise their list. In the engineering design process, the stage of generating ideas is the brainstorm stage. b. Multiple perspectives: The student is asked to elicit ideas
AC 2008-2227: INVESTIGATING IMPULSE LOADING USING MODELROCKETRYByron Newberry, Oklahoma Christian University of Science and Arts Dr. Byron Newberry is Associate Professor and Chair of Mechanical Engineering at Oklahoma Christian University. He holds a B.S. degree in Mechanical Engineering from Oklahoma Christian University and M.S. and Ph.D. degrees in Mechanical Engineering from The University of Michigan, Ann Arbor. His interests include stress analysis, nonlinear dynamics, structural vibration, and engineering design. Page 13.813.1© American Society for Engineering Education, 2008
AC 2008-424: ENHANCING LECTURE PEDAGOGY THROUGH TARGETEDBREAKSBenson Tongue, University of California-Berkeley Page 13.547.1© American Society for Engineering Education, 2008 Enhancing Lecture Pedagogy through Targeted BreaksAbstract In this paper an approach to lecturing, that of Targeted Breaks, will be introduced.These are offered as a means to enhance the traditional lecture format so as to increasestudent comprehension, interest and the course’s level of perceived worth. Targeted Breaksoffer a multiplicity of benefits and these will be delineated in the text. Particular exampleswill be presented as well, with sufficient detail to allow interested professors to create
AC 2008-249: INTEL: INTERACTIVE TOOLKIT FOR ENGINEERINGEDUCATIONCalvin Ashmore, Georgia Institute of TechnologyDaniel Upton, Georgia Institute of TechnologyBo Yeon Lee, Georgia Institute of TechnologyGeoff Thomas, Georgia Institute of TechnologySneha Harrell, UC BerkeleyChristine Valle, Georgia Institute of TechnologyJanet Murray, Georgia Institute of TechnologyWendy Newstetter, Georgia Institute of TechnologyLaurence Jacobs, Georgia Institute of TechnologySue Rosser, Georgia Institute of Technology Page 13.778.1© American Society for Engineering Education, 2008 InTEL : Interactive Toolkit for Engineering LearningAbstractStatics, a foundational engineering course
LaboratoryAbstractThis paper describes a relatively simple method in which planar rigid body motion can bemeasured and analyzed in the context of an upper division mechanical engineering laboratorycourse. The overall intention of this work is to help facilitate upper division level laboratoryprojects in dynamics. Such projects are intended to provide students with the opportunity to i)apply and reinforce their knowledge of dynamics, ii) learn and practice modern experimentalmethods used to make and assess motion measurements, and iii) if possible, compare theoreticaland measured results.The instrumentation involves the use of two inexpensive sensors – a dual axis accelerometer anda rate gyro – and a data acquisition system (such as LABVIEW). The accelerometer
mustpractice divergent thinking to explore the entire design space, which is an immensely importantskill for developing creative and effective solutions. Learning design via a team-based designproject promotes cognitive skills, social skills, management skills, and positive personal traits.Design and development of an open ended design project is discussed. The team-based projectprogresses over approximately ten weeks in an elementary strength of materials course. Thisprovides a significant design experience for engineering students that helps bridge the gapbetween the first-year engineering design course and the capstone design project that engineeringstudents typically do in their senior year. The project requires student teams to: work together
that enable civil engineering studentsto identify, formulate, and solve engineering problems. The Department of Civil andEnvironmental Engineering at Villanova University is investigating how to better presentmaterial in the core mechanics courses to better meet the educational needs of the students andimprove learning. The core sequence in mechanics at Villanova University consists of fivecourses: Statics/Dynamics, Mechanics of Solids, Civil Engineering Materials, Fluid Mechanicsand Fluid Mechanics Laboratory. To determine the current state of practice in mechanicseducation, the authors conducted a survey of civil engineering mechanics curricula at fiftyuniversities. Civil engineering curricula present mechanics in a variety of courses and
AC 2008-2116: ONLINE INTERACTIVE MEMS EXPERIMENTS ANDWEB-BASED CURRICULUMSiamak Faridani, University of Oklahoma S. Faridani is a PhD student at the University of Oklahoma.Kurt Gramoll, University of Oklahoma K. Gramoll is the Hughes Centennial Professor of Engineering and Director of the Engineering Media Lab at the University of Oklahoma. Dr. Gramoll received his B.S. degree in Civil Engineering and M.S. degree in Mechanical Engineering, both from the University of Utah and received his Ph.D. in Engineering Science and Mechanics from Virginia Tech. He has developed and published several CDs and web-based sites for engineering education