Conference Session

Dynamics

Collection

2015 ASEE Annual Conference & Exposition

Authors

Hirohito Kobayashi, University of Wisconsin, Platteville

Tagged Divisions

Mechanics

Paper ID #13293Development of Motion Analysis software for Dynamics EducationDr. Hirohito Kobayashi, University of Wisconsin-Platteville University of Wisconsin-Madison Ph.D. University of Wisconsin-Madison, M.S. Waseda University, Tokyo, JAPAN, B.S. Page 26.536.1 c American Society for Engineering Education, 2015 Development of Motion Analysis software for Dynamics Education1 AbstractAs an attempt to introduce “virtual” hands-on experience in dynamics course, a motion analysissoftware, Virtual Mechanics

Conference Session

Teaching Statics

Collection

2011 ASEE Annual Conference & Exposition

Authors

Cliff J. Lissenden, Pennsylvania State University, University Park; Christine B. Masters, Pennsylvania State University, University Park; Samia A. Suliman, Pennsylvania State University, University Park; Roxanne Toto, Pennsylvania State University, University Park

Tagged Divisions

Mechanics

Roxanne Toto is an instructional designer and e-Learning Support Specialist for the Leonhard Center for the Enhancement of Engineering Education at the Pennsylvania State University, where she works with faculty to implement and assess teaching and learning innovations. Her research interests include instructional design for emerging technologies and assessment of learning in technological environments. Page 22.1356.1 c American Society for Engineering Education, 2011 Supplemental learning tools for statics and strength of materialsAbstractWouldn’t it be great to have one more day in

Conference Session

Teaching Statics

Collection

2010 Annual Conference & Exposition

Authors

Anna Dollar; Paul Steif

Tagged Divisions

Mechanics

USING A DIGITAL DASHBOARD FOR LEARNING TO BLEND INTERACTIVE, WEB-BASED COURSEWARE INTO AN INSTRUCTOR-LED STATICS COURSE1. BACKGROUND1.1 Need for Improving Assessment-Feedback LoopsIn response to an increasing appreciation that instruction should be learner-centered [1], variouslearner-centered instructional approaches have been pursued. These have included bothleveraging computer technology in effective ways and establishing more interactive classrooms.Still, many engineering subjects continue to be taught in a traditional, top-down fashion, withone-way communication from the lecturer, and textbook homework problems that are solvedoutside of class, on which delayed and minimal useful feedback, if any, is

Conference Session

Homework, Learning, and Problem Solving in Mechanics

Collection

2016 ASEE Annual Conference & Exposition

Authors

Edward J. Berger, Purdue University, West Lafayette; Michael Wilson, Purdue University, West Lafayette

Tagged Divisions

Mechanics

Paper ID #16199A Laboratory Study of Student Usage of Worked-example Videos to SupportProblem SolvingDr. Edward J. Berger, Purdue University, West Lafayette Edward Berger is an Associate Professor of Engineering Education and Mechanical Engineering at Purdue University, joining Purdue in August 2014. He has been teaching mechanics for nearly 20 years, and has worked extensively on the integration and assessment of specific technology interventions in mechanics classes. He was one of the co-leaders in 2013-2014 of the ASEE Virtual Community of Practice (VCP) for mechanics educators across the country.Prof. Michael Wilson

Conference Session

Teaching Mechanics of Materials and General Mechanics Education

Collection

2009 Annual Conference & Exposition

Authors

Ing-Chang Jong, University of Arkansas; William Springer, University of Arkansas

Tagged Divisions

Mechanics

AC 2009-1437: TEACHING VON MISES STRESS: FROM PRINCIPAL AXES TONONPRINCIPAL AXESIng-Chang Jong, University of Arkansas Ing-Chang Jong serves as Professor of Mechanical Engineering at the University of Arkansas. He received a BSCE in 1961 from the National Taiwan University, an MSCE in 1963 from South Dakota School of Mines and Technology, and a Ph.D. in Theoretical and Applied Mechanics in 1965 from Northwestern University. He and Dr. Bruce G. Rogers coauthored the textbook Engineering Mechanics: Statics and Dynamics, Oxford University Press (1991). Dr. Jong was Chair of the Mechanics Division, ASEE, in 1996-97. His research interests are in mechanics and engineering education.William

Conference Session

Teaching & Learning Dynamics, Vibration, and Mechanics More Broadly

Collection

2016 ASEE Annual Conference & Exposition

Authors

Geoff Rideout, Memorial University of Newfoundland

Tagged Topics

Diversity

Tagged Divisions

Mechanics

Paper ID #15153Challenges and Logistics in Flipping a Large Classroom for Junior-year Me-chanical VibrationsDr. Geoff Rideout, Memorial University of Newfoundland Geoff Rideout received his B.Eng. (Mechanical) from Memorial University of Newfoundland in 1993. After working in the manufacturing and building systems consulting industries, he earned his M.A.Sc. in Mechanical Engineering from Queen’s University in Kingston, Ontario and his Ph.D. in Mechanical Engineering from the University of Michigan. He has lectured at the University of Michigan and at the Humber Institute for Advanced Technology and Applied Learning in

Conference Session

Dynamics - Wow! They accelerate

Collection

2013 ASEE Annual Conference & Exposition

Authors

Brian P. Self, California Polytechnic State University; James M Widmann, California Polytechnic State University; Michael J. Prince, Bucknell University; Jeffrey Georgette

Tagged Divisions

Mechanics

the authority (f) Evaluate student understanding (g) Make appropriate use of technology (h) Begin with the specific and move to the generalWhile prevalent in the physics educational community, inquiry-based activities have only justbegun to be used in engineering education. Steif and Dollár 18 have had teams of students usephysical demonstrations to investigate statics (see example in Figure 2) but did not follow all ofthe guidelines set forth in Table 2. The work of Prince and Vigeant has shown great promise inthe fields of heat transfer and thermodynamics, as can be seen in Figure 3. Our goal is to achievesimilar gains in the field of dynamics. Figure 2. Physical demonstrations showing the idea

Conference Session

Statics & Strength of Materials - A nice couple

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jamie Douglas, University of Wisconsin Colleges; Mark H Holdhusen, University of Wisconsin, Marathon County

Tagged Divisions

Mechanics

Holdhusen is an Associate Professor of Engineering at the University of Wisconsin, Marathon County. He began at UWMC in Jan. 2005 after completing his Ph.D. in mechanical engineering at the Georgia Institute of Technology. Holdhusen received a bachelor’s in mechanical engineering from the University of Minnesota in August of 1999. He currently lives in Wausau, Wis., with his wife (Elona), son (Milo), and daughter (Odelia). Page 23.433.1 c American Society for Engineering Education, 2013 Development of Low-Cost, Hands-On Lab Experiments for an Online Mechanics of

Conference Session

Active Learning & Laboratories in Statics, Dynamics, and Mechanics

Collection

2016 ASEE Annual Conference & Exposition

Authors

John W. Sanders, University of Illinois, Urbana-Champaign; Matthew West, University of Illinois, Urbana-Champaign; Geoffrey L Herman, University of Illinois, Urbana-Champaign

Tagged Divisions

Mechanics

Illinois at Urbana-Champaign. His research interests include solid mechanics, microme- chanics of materials, fracture mechanics, and STEM education research.Prof. Matthew West, University of Illinois, Urbana-Champaign Matthew West is an Associate Professor in the Department of Mechanical Science and Engineering at the University of Illinois at Urbana-Champaign. Prior to joining Illinois he was on the faculties of the Department of Aeronautics and Astronautics at Stanford University and the Department of Mathematics at the University of California, Davis. Prof. West holds a Ph.D. in Control and Dynamical Systems from the California Institute of Technology and a B.Sc. in Pure and Applied Mathematics from the University of

Conference Session

Internet Delivery of Mechanics Courses

Collection

2007 Annual Conference & Exposition

Authors

Paul Steif, Carnegie Mellon University; Anna Dollar, Miami University

Tagged Divisions

Mechanics

each section in a modulesignal to students if additional studying is needed to meet learning objectives.1. IntroductionThere is an increasing demand for engineering education around the world, as well as increasingopportunities to leverage technology for this purpose. As one response, we are seeking to createa complete on-line introductory-level Statics course for novice learners. This project is part of awider Open Learning Initiative (OLI) at Carnegie Mellon University, supported by the Williamand Flora Hewlett Foundation, to develop cognitively-informed high quality on-line courses.With this Statics course we hope to increase the number of learners that can be reached(including independent learners), and to support other instructors with

Conference Session

Explorations in Mechanics Pedagogy

Collection

2015 ASEE Annual Conference & Exposition

Authors

Shawn P. Gross, Villanova University; David W. Dinehart, Villanova University

Tagged Divisions

Mechanics

Paper ID #13464Flexible Periods Allow for Combined Analytical and Laboratory ExperiencesWithin an Introductory Mechanics CourseDr. Shawn P Gross, Villanova University Dr. Shawn P. Gross is an associate professor in the Department of Civil and Environmental Engineering at Villanova University. He has as M.S.E. and Ph.D. degrees in Civil Engineering from the University of Texas at Austin, and a B.S.E. degree from Tulane University. He teaches undergraduate and graduate courses on mechanics and structural design (reinforced concrete, structural steel, masonry, and wood).Prof. David W Dinehart, Villanova University Professor and

Conference Session

Hybrid and Online Teaching of Mechanics

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Nicolas Nytko, University of Illinois at Urbana-Champaign; Matthew West, University of Illinois at Urbana-Champaign; Mariana Silva, University of Illinois at Urbana-Champaign

Tagged Divisions

Mechanics

the Department of Aeronautics and Astronautics at Stanford University and the Department of Mathematics at the University of California, Davis. Prof. West holds a Ph.D. in Control and Dynamical Systems from the California Institute of Technology and a B.Sc. in Pure and Applied Mathematics from the University of Western Australia. His research is in the field of scientific computing and numerical analysis, where he works on computational algorithms for simulating complex stochastic systems such as atmospheric aerosols and feedback control. Prof. West is the recipient of the NSF CAREER award and is a University of Illinois Distinguished Teacher-Scholar and College of Engineering Education Innovation Fellow.Prof

Conference Session

Mechanics Division Poster Session

Collection

2007 Annual Conference & Exposition

Authors

Raghu Echempati, Kettering University

Tagged Divisions

Mechanics

designed by a group of faculty teaching thiscourse so that each question is tied with the course (or student) learning objectives (CLOsor SLOs) and the program outcomes (POs). Sample assessment charts are presented at theend of the paper and discussed.Introduction and Literature ReviewThere is a lot of literature on educational research and teaching and learning techniquesavailable that deal with improving Mechanics education. ASEE J. of EngineeringEducation, J. of Science, Math, Engineering and Technology (SMET) Education, J. ofSTEM, etc., are only a few of many such dedicated journals devoted to engineeringeducation. Numerous textbook authors and the publishers have organized forums oncollege campuses and at several educational conferences such

Conference Session

Teaching Statics, Dynamics, and Mechanics of Materials

Collection

2017 ASEE Annual Conference & Exposition

Authors

Ryan Barrage, University of Waterloo; G Wayne Brodland P.Eng., University of Waterloo; Rania Al-Hammoud P.Eng., University of Waterloo

Tagged Divisions

Mechanics

called neural tube formation, developing novel instruments and computational models to aid their quest. More recently their interest has shifted to learning how cancer cells detach from a primary tumor and begin the process of metastasis.Dr. Rania Al-Hammoud P.Eng., University of Waterloo Dr. Al-Hammoud is a Faculty lecturer (Graduate Attributes) in the department of civil and environmental engineering at the University of Waterloo. Dr. Al-Hammoud has a passion for teaching where she con- tinuously seeks new technologies to involve students in their learning process. She is actively involved in the Ideas Clinic, a major experiential learning initiative at the University of Waterloo. She is also re- sponsible for

Conference Session

Teaching & Learning Dynamics, Vibration, and Mechanics More Broadly

Collection

2016 ASEE Annual Conference & Exposition

Authors

Shawn P. Gross, Villanova University; David W Dinehart, Villanova University

Tagged Topics

Diversity

Tagged Divisions

Mechanics

Paper ID #16325Pre- and Post-Class Student Viewing Behaviors for Recorded Videos in anInverted Sophomore Mechanics CourseDr. Shawn P. Gross, Villanova University Dr. Shawn P. Gross is an associate professor in the Department of Civil and Environmental Engineering at Villanova University. He has as M.S.E. and Ph.D. degrees in Civil Engineering from the University of Texas at Austin, and a B.S.E. degree from Tulane University. He teaches undergraduate and graduate courses on mechanics and structural design (reinforced concrete, structural steel, masonry, and wood).Dr. David W Dinehart, Villanova University Professor and Chairman

Conference Session

Mechanics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Bidhan C. Roy, University of Wisconsin, Platteville

Tagged Divisions

Mechanics

Paper ID #26487Open-ended Problems in Dynamics - Rendering Solution Manuals IneffectiveDr. Bidhan C. Roy, University of Wisconsin, Platteville Bidhan Roy (Ph.D. 2003, UIUC) is an Associate Professor with the Department of Mechanical Engineer- ing, University of Wisconsin, Platteville. His research interests are primarily in mechanics with a focus on biological systems, applied mathematics, and numerical methods. c American Society for Engineering Education, 2019Open-Ended Problems in Dynamics – Rendering Solution Manuals IneffectiveAt the University of Wisconsin -Platteville, a course in Engineering

Conference Session

Teaching Dynamics

Collection

2010 Annual Conference & Exposition

Authors

Benson Tongue, University of California, Berkeley; Daniel Kawano, University of California, Berkeley

Tagged Divisions

Mechanics

thechanging nature of our technological world. Cars that are computer controlled are not ones thatlend themselves to “tinkering.” Likewise, the microelectronics that runs through most all moderntechnological artifacts present our nascent engineers with little of the opportunity for hands-onlearning that so typified the pre-college experience of their counterparts in years past.On the other hand, students are very comfortable with videos and, hopefully, reasonably welloriented toward simulation/animation software. Their inclinations can be used [1], in a properlydesigned course, to enhance learning [2], [3], [4].What the authors have tried to do is add a new component to what have traditionally been pureanalysis courses as a way of addressing this

Conference Session

Enhancing Instruction in Statics, Dynamics, Mechanics

Collection

2017 ASEE Annual Conference & Exposition

Authors

Anna K. T. Howard, North Carolina State University; Matthew T. Stimpson, North Carolina State University

Tagged Topics

Diversity

Tagged Divisions

Mechanics

Paper ID #20269Online-Only Statics Compared to a Flipped ClassroomDr. Anna K. T. Howard, North Carolina State University Anna Howard is a Teaching Associate Professor at NC State University in Mechanical and Aerospace Engineering where she has led the course redesign effort for Engineering Statics. She received her Ph.D. from the Rotorcraft Center of Excellence at Penn State University in 2001.Dr. Matthew T. Stimpson, North Carolina State University Matthew Stimpson is the Director of Assessment in the Office of Undergraduate Academic Affairs at NC State University. c American Society for

Conference Session

Anything New in Dynamics?

Collection

2008 Annual Conference & Exposition

Authors

Geoff Rideout, Memorial University of Newfoundland

Tagged Divisions

Mechanics

AC 2008-87: TEACHING MULTIBODY DYNAMICS IN AN UNDERGRADUATECURRICULUM – AN INTUITIVE AND EXPLICIT FORMALISM BASED ONPARASITIC ELEMENTSGeoff Rideout, Memorial University of Newfoundland Geoff Rideout received his B.Eng. (Mechanical) from Memorial University in 1993, his M.A.Sc. (Eng.) from Queen's University in 1998, and his Ph.D. from the University of Michigan in 2004. He is currently an assistant professor of engineering at Memorial University, teaching mechanics and design courses. He is conducting research in the area of automated generation of computer simulation models for dynamic system design

Conference Session

Evaluation of Teaching Methods for Mechanics Courses

Collection

2012 ASEE Annual Conference & Exposition

Authors

Somnath Chattopadhyay, Georgia Southern University

Tagged Divisions

Mechanics

AC 2012-3221: INVESTIGATION OF PROPORTIONAL AND NON-PROPORTIONALLOADINGS USING MOHR’S CIRCLEProf. Somnath Chattopadhyay, Georgia Southern University Somnath Chattopadhyay is in the Department of Mechanical Engineering at Georgia Southern University in Statesboro, Ga. He teaches mechanics, design, and materials, and his current research emphasis is on fatigue crack intiation in metallic materials. He has authored a text on pressure vessel design and serves as an Associate Editor of the ASME Journal of Pressure Vessel Technology Page 25.859.1 c American Society for Engineering

Conference Session

Enhancing Instruction in Statics, Dynamics, Mechanics

Collection

2017 ASEE Annual Conference & Exposition

Authors

Rania Al-Hammoud P.Eng., University of Waterloo

Tagged Divisions

Mechanics

Paper ID #18373Molding the Interactive Flipped Classroom Based on Students’ FeedbackDr. Rania Al-Hammoud P.Eng., University of Waterloo Dr. Al-Hammoud is a Faculty lecturer (Graduate Attributes) in the department of civil and environmental engineering at the University of Waterloo. Dr. Al-Hammoud has a passion for teaching where she con- tinuously seeks new technologies to involve students in their learning process. She is actively involved in the Ideas Clinic, a major experiential learning initiative at the University of Waterloo. She is also re- sponsible for developing a process and assessing graduate attributes at

Conference Session

Building Success in the Online Classroom

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Reihaneh Jamshidi, University of Hartford; Eoin A. King, NUI Galway

Tagged Divisions

Mechanics

Paper ID #33786The Transition from In-Person to Online ClassesDr. Reihaneh Jamshidi, University of Hartford Reihaneh Jamshidi is an assistant professor of mechanical engineering at the University of Hartford. She received her Ph.D. in Mechanical Engineering from Iowa State University in 2018. Her teaching focuses on materials science and mechanical design. Reihaneh’s primary research interests are design, manufacturing, characterization, and mechanics of soft materials and structures.Dr. Eoin A. King, NUI Galway Dr. Eoin King is Lecturer of Mechanical Engineering at NUI Galway. He has extensive experience in the areas

Conference Session

Mechanics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Yan Tang, Embry-Riddle Aeronautical Univ., Daytona Beach

Tagged Divisions

Mechanics

Mechanics: Dynamics. Pearson, 14th ed., 2016[2] Pytel, Andrew and Kiusalaas, Jaan. Engineering Mechanics: Dynamics. CengageLearning, 4th ed., 2015[3] Tongue, Benson. Engineering Mechanics: Dynamics. John Wiley & Sons, 2nd ed., 2010.[4] Beer, Ferdinand, Johnston, E.Russell, Mazurek, David, Cornwell, Phillip, and Self, Brian.Vector Mechanics for Engineers: Dynamics. McGraw-Hill, 10th ed., 2003.[5] Kraige, Glenn, “The Role of the Kinetic Diagram in the Teaching of Introductory Rigid-Body Dynamics – Past, Present, and Future”, 2002. ASEE Annual Conference and Exposition.[6] Sweller, John, Paul Ayres, and Slava Kalyuga. Cognitive Load Theory. Explorations in thelearning sciences, instructional systems and performance technologies: Vol

Conference Session

Teaching & Learning Statics and Mechanics of Materials

Collection

2016 ASEE Annual Conference & Exposition

Authors

Andrew Lee, Arizona State University; Haolin Zhu, Arizona State University; James A Middleton, Arizona State University

Tagged Divisions

Mechanics

, Arizona State University James A. Middleton is Professor of Mechanical and Aerospace Engineering and Director of the Center for Research on Education in Science, Mathematics, Engineering, and Technology at Arizona State Univer- sity. For the last three years he also held the Elmhurst Energy Chair in STEM education at the University of Birmingham in the UK. Previously, Dr. Middleton was Associate Dean for Research in the Mary Lou Fulton College of Education at Arizona State University, and Director of the Division of Curriculum and Instruction. He received his Ph.D. in Educational Psychology from the University of Wisconsin-Madison in 1992, where he also served in the National Center for Research on Mathematical

Conference Session

Teaching Dynamics

Collection

2009 Annual Conference & Exposition

Authors

Ali Mohammadzadeh, Grand Valley State University; Salim Haidar, Grand Valley State University

Tagged Divisions

Mechanics

AC 2009-1466: ON THE ANALYSIS AND DESIGN OF VEHICLE SUSPENSIONSYSTEMS GOING OVER SPEED BUMPSAli Mohammadzadeh, Grand Valley State University ALI R. MOHAMMADZADEH is currently associate professor of Engineering at the School of Engineering at Grand Valley State University. He received his B.S. in Mechanical Engineering from Sharif University of Technology And his M.S. and Ph.D. both in Mechanical Engineering from the University of Michigan at Ann Arbor. His research area of interest is fluid-structure interaction.Salim Haidar, Grand Valley State University SALIM M.HAIDAR is currently associate professor of Mathematics at Grand Valley State University. He received his B.S. in Mathematics

Conference Session

Engaging the Online Classroom

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Phillip Cornwell, United States Air Force Academy

Tagged Divisions

Mechanics

Paper ID #33524Interactive Videos and ”In-Class” Activities in a Flipped RemoteDynamics ClassDr. Phillip Cornwell, United States Air Force Academy Phillip Cornwell currently teaches at the United States Air Force Academy and is an Emeritus Professor of Mechanical Engineering at Rose-Hulman Institute of Technology. He received his Ph.D. from Princeton University in 1989 and his present interests include structural dynamics, structural health monitoring, and undergraduate engineering education. Dr. Cornwell has received an SAE Ralph R. Teetor Educational Award in 1992, and the Dean’s Outstanding Teacher award at Rose-Hulman

Conference Session

Mechanics Division Technical Session 4

Collection

2019 ASEE Annual Conference & Exposition

Authors

Josue Njock Libii, Purdue University Fort Wayne

Tagged Topics

Diversity

Tagged Divisions

Mechanics

UNESCO Fellowship. In addition to IPFW, he has taught mechanics and related subjects at many other institutions of higher learning: The University of Michigan, Eastern Michigan University, Western Wyoming College, Ecole Nationale Sup´erieure Poly- technique, Yaound´e, Cameroon, and Rochester Institute of Technology (RIT). He has been investigating the strategies that help engineering students learn, succeed, and complete their degree programs for many years. He is an active member of two research groups in his department: The Undergraduate Projects Lab and the Energy Systems Lab. He is currently the PI of an NSF grant titled ”Building a Sustainable Institutional Structure to Support STEM Scholars at IPFW”, Award

Conference Session

Innovative Teaching Techniques in Mechanics

Collection

2006 Annual Conference & Exposition

Authors

Ing-Chang Jong, University of Arkansas

Tagged Divisions

Mechanics

2006-823: LEARNING THE VIRTUAL WORK METHOD IN STATICS: WHAT IS ACOMPATIBLE VIRTUAL DISPLACEMENT?Ing-Chang Jong, University of Arkansas Ing-Chang Jong serves as Professor of Mechanical Engineering at the University of Arkansas. He received a BSCE in 1961 from the National Taiwan University, an MSCE in 1963 from South Dakota School of Mines and Technology, and a Ph.D. in Theoretical and Applied Mechanics in 1965 from Northwestern University. He was Chair of the Mechanics Division, ASEE, in 1996-97. His research interests are in mechanics and engineering education. Page 11.878.1© American Society for

Conference Session

Teaching Mechanics of Materials & General Mechanics

Collection

2010 Annual Conference & Exposition

Authors

Ing-Chang Jong, University of Arkansas

Tagged Divisions

Mechanics

AC 2010-88: ENRICHING STUDENTS’ STUDY OF BEAM REACTIONS ANDDEFLECTIONS: FROM SINGULARITY FUNCTIONS TO METHOD OF MODELFORMULASIng-Chang Jong, University of Arkansas Ing-Chang Jong serves as Professor of Mechanical Engineering at the University of Arkansas. He received a BSCE in 1961 from the National Taiwan University, an MSCE in 1963 from South Dakota School of Mines and Technology, and a Ph.D. in Theoretical and Applied Mechanics in 1965 from Northwestern University. He and Dr. Bruce G. Rogers coauthored the textbook Engineering Mechanics: Statics and Dynamics, Oxford University Press (1991). Professor Jong was Chair of the Mechanics Division, ASEE, 1996-97, and received the Archie Higdon

Conference Session

Mechanics Division Poster Session

Collection

2010 Annual Conference & Exposition

Authors

Somnath Chattopadhyay; Rajesh Kitey

Tagged Divisions

Mechanics

numerical methods werecompared with the corresponding closed form solutions.INTRODUCTIONThis study constitutes a laboratory component of the strength of materials courses taught to bothengineering and engineering technology students. It is important that engineering students learnthe detrimental effects of stress raisers such as notches, holes, and sharp corners in machinemembers. Such discontinuities can cause a large rise in stress above the nominal value. Thistopic is introduced in the strength of materials course in the design of a stepped shaft withkeyways subjected to bending, torsion, as well as axial loads. The nominal axial stress, thebending stress, and the shear stress due to torsion in the shaft are each multiplied by thecorresponding