model example, we propose to evaluate the position, velocity and the time at which the 1pound block leaves the surface of a cylindrical surface on which it slides. The block is assumedto have an initial velocity V0 at the top of the cylinder and is subject to a constraint friction forceof kinetic coefficient of friction, µk (See Figure 1). To achieve a stable numerical solution, weassume, without loss of generality, a specific initial speed of 10 ft/s for the block and considerthe coefficient of kinetic friction between the block and surface to be zero in one case and 0.2 inthe other. The radius of cylinder, r = 5 ft. V0 r
yd ? yn 1 / | ,2 A ? x - ÄÄ 0 2 ÕÕ , h ? tan /1 ÄÄ ÕÕ . yd Å v0 - |y n x0 Ö 0 Å ÖThe method for studying this problem now proceeds as follows. Students are asked to write aMATLAB program to compute x(t) for set values of the parameters m, k, c, x0, and v0. Anexample is shown below: % free sping/mass/damper clear,clc,close all % set parameters % all dimensions in m, kg, s k=100;m=4;c=4; x0=.2;v0=0; % calculate
. Page 11.502.1© American Society for Engineering Education, 2006 Dynamic 3D Visualization of Stress TensorsAbstractSophomore and junior engineering students in majors such as mechanical, aerospace, civil, andmaterials engineering learn about the concept of the “state-of-stress” at a point within an object.Many engineering students have some difficulty in thoroughly grasping this concept, especiallythe more mathematical and visual aspects. To date, the best method we have for visualizing thestate-of-stress has been to use Mohr’s circle(s), named after the famous 19th century Germancivil engineer, Christian Otto Mohr. Mohr’s circle applies to the case where rotations of adifferential cube about a principal direction (only) are
vector is BB¦ ? L tan fs ? L ÇÉfs - 13 (fs )3 - 152 (fs )5 - 315 17 (fs )7 - ©©©Ú L fs (3) fl¦¦ can be taken as equal as fs › 0 in theIn Fig. 2, the lengths of the chord BB¦ and the arc BBlimit. Equation (3) shows that the magnitude of the compatible virtual displacement of point Bmay indeed be computed by using the radian measure formula in calculus; i.e., s ? rs (4)where s is the arc subtending an angle s (in radians) included by two radii of length r
. Another distinct advantagewith CAD visualization involves being able to modify the problem. As an example, whathappens to the tension in the cables if the angles of cables A and B are increased or decreased?Can you visualize that from the picture?Another basic problem which would not intimidate a CAD novice involves EngineeringDynamics to include the mysterious “acceleration” term which tends to bewilder students. Theproblem focuses on determining the total acceleration of a sliding collar on a straight rod rotatingabout a vertical axis when the rod’s current position is at 45° as shown in Figure 2 on the left. Atthis instant, the point P on the collar has a outward velocity along the rod of 4 m/s (relative to therod as shown) when the distance
study has been utilized for teaching and research in varioussubject areas. Newberry17 used a double pendulum for students to learn and understandHamilton’s principle. Gulley found that a double pendulum was a useful case in learning the S-function of Matlab18. Swisher et al19 mentioned to use a double pendulum as a case study in anintegrated vibrations and system simulation course. Romano20 applied a double pendulum toresearching a modular modeling methodology in real-time multi-body vehicle dynamics. 2. Use of the case in ME 592-30/492-03 AMD In the fall of 2005, the double pendulum case was repeatedly used in teaching and learning AMD. The case and its variation were integrated with various teaching and learning scenarios. The first use of
because they have the final result. Changing the inputs and monitoring theirinfluence on the output will definitely help inspire students desire to answer the “what if”question, hence helping them to think out of the box and become a better designers who look atthe problem from all perspectives analyzing all possible scenarios. The impact of using this toolwill be monitored through regular surveys among the students, and through statistical analysis ofstudent’s performance.References1 R. C. Garcia and B. S. Heck, (Institute of Electrical and Electronics Engineers Inc., Piscataway, NJ, USA, Nashville, TN, USA, 2000), p. 515.2 C. T. Merke, in ASEE 2004 Annual Conference and Exposition, "Engineering Researchs New Heights
, student feedback appears to be very positive.AcknowledgementThis work is supported by NSF through grant # 0343154.References1. Timoshenko, S., Strength of Materials, New York, Van Nostrand (1955).2. Beer, F. P. Beer, Johnston, E. R., Jr., and DeWolf, J.T., Mechanics of materials, 4th edition, McGraw-hill (2005).3. Hibbeler, R.C., Mechanics of materials, 6th edition, Prentice-Hall (2004).4. Blackwell, G.R. “Direct Chip Attach” in The Electronic Packaging Handbook, Ed. Blackwell, G.R., Boca Raton: CRC Press LLC (2000).5. L. B. Freund, L.B., Suresh S., Thin Film Materials : Stress, Defect Formation and Surface Evolution, Cambridge University Press (2004).6. Brain, M., How Thermometers Work, http://home.howstuffworks.com/therm2.htm
). Doing with understanding: Lessons from research on problem and project-based learning. Journal of Learning Sciences, 7(3 and 4), 271-312.7. Schwartz, D.L., Lin, X., Brophy, S. and Bransford, J.D. (1999). Toward the development of flexibly adaptive instructional designs. In Instructional Design Theories and Models: volume II (Ed. Reigelut, C.M.), Hillsdale, NJ: Lawrence Erlbaum, p182-213.8. Linn, M.C., Songer, N.B. and Eylon, B.S. (1996). Shifts and convergences in science learning and instruction. In Handbook of Educational Psychology (Eds. Calfee, R.C. and Berliner, D.C.), Riverside, NJ: Macmillan, p438-490.9. Anderson, J.R. (1993). Rules of the mind. Hillsdale, NJ: Lawrence Erlbaum.10. Anderson, J.R., Boyle, C.F., Corbett, A
1-12[7] Origins of Misconceptions in a Materials Concept Inventory From Student Focus Groups.Krause, Stephen; Tasooji, Amaneh; Griffin, Richard. ASEE 2004 Annual Conference andExposition: Engineering Education Researches New Heights, 2004, Session 3464, p 1-8[8] The concept of the concept inventory assessment instrument. Evans, D. L.; Hestenes, David.Proceedings - Frontiers in Education Conference, 2001, p F2A-1[9] Instructional software: If you build it, they may or may not come. Roskowski, A. Michel;Felder, Richard M.; Bullard, Lisa G. 2001 ASEE Annual Conference and Exposition: Peppers,Papers, Pueblos and Professors, 2001, p 5971-5976[10] Courseware for problem solving in mechanics of materials. Steif, Paul S. 2002 ASEEAnnual Conference
Solution quizzes and Dante’s Quizcould be used in large class settings since they are individually taken. Team Involvementquizzes could be used in larger classes, but most likely only if team exercises are already a partof the instruction. Presentation quizzes are not likely viable in large class settings.References1. Murray, S., “Increasing Student Commitment to Class Preparation” Proceedings, 2005 ASEE Annual Conference, Portland, OR, June 2005.2. Lowman, J., “Mastering the Techniques of Teaching”, 2nd Edition, Jossey-Bass publishers.3. Mazzei, A., “An Approach for In-class Learning of Mechanical Engineering Design Subjects” Proceedings, 2005 ASEE Annual Conference, Portland, OR, June 2005
, experience and school, Committee on Developments in the Science of Learning, Bransford, J.D., Brown, A.L., Cocking, R.R. (Eds.), Washington, D.C., National Academy Press, 1999.4. Hestenes, D., Wells, M. and Swackhamer, G., “Force Concept Inventory”, The Physics Teacher, Vol. 30, p. 141, 1992.5. D. Evans, C. Midkiff, R. Miller, J. Morgan, S. Krause, J. Martin, B. Notaros, D. Rancor, and K. Wage, “Tools for Assessing Conceptual Understanding in the Engineering Sciences,” Proceedings of the 2002 FIE Conference, Boston, MA.6. Steif, P.S. and J.A. Dantzler, “A Statics Concept Inventory: Development and Psychometric Analysis”, Journal of Engineering Education, J. Eng. Educ., Vol. 33, pp. 363-371, 2005.7. Steif, P.S. and M.A
., “Mode I Stress Intensity Factor by the Method of Caustics,” TheInternational Journal of Applied Engineering Education, Vol. 7, pp. 294-302, 1991.2. Younis, N. T., “Experimental Method of Caustics for Civil and Mechanical Engineering Students,”Proceedings of the American Society for Engineering Education Annual Conference, Portland, Oregon,June 12-15, 2005.3. Steif, P. S., “Initial Data from a Statics Concept inventory,” Proceedings of the American Society forEngineering Education Annual Conference, Salt Lake City, Utah, June 20-23, 2004.4. Philpot, T. A., Hubing, N., Flori, R. E., Hall, R. H., Oglesby, D. B., and Yellamraju V., “Computer-Based Instructional Media for Mechanics of Materials,” International Journal of Engineering Education,Online