computational and experimental mechanics of composite materials, with a focus on micro mechanics. Page 12.76.1© American Society for Engineering Education, 2007 A New Approach for Teaching In-Plane Principal Stresses, Principal Directions and Maximum Shear Stress for Plane StressAbstractThe topic of in-plane principal stresses, principal directions and maximum shear stress for a stateof plane stress is typically taught in introductory mechanics of materials and solid mechanicscourses using the following approach. First, the equations for the normal and shear stresses on aninclined plane are obtained applying the principle
introductory purposes. Finding of the deflection of this beam in neutral equilibrium is de-ferred to Example 5 later.The conjugate beam method was first propounded in 1921 by Westergaard.1 One can find briefpresentations of this method in earlier mechanics of materials textbooks by Timoshenko andMacCullough3 and by Singer and Pytel4. Recently, a set of ten guiding rules to facilitate the useof this method was synthesized by Jong2 from the original paper of Westergaard.1 For benefit of awider readership with different specialties, a brief summary of the guiding rules needed in thismethod is included. Readers, who are familiar with the rudiments of this method, may skip thepart presented in Section II.This paper is intended to share with fellow
2006-151: A NEW APPROACH TO SOLVE BEAM DEFLECTION PROBLEMSUSING THE METHOD OF SEGMENTSHartley T. Grandin, Worcester Polytechnic Institute Hartley T. Grandin, Jr. is a Professor Emeritus of Engineering Mechanics and Design in the Mechanical Engineering Department at Worcester Polytechnic Institute. He has authored the textbook Fundamentals of the Finite Element Method that was published by Macmillan in 1986. Since his retirement from WPI in 1996, he teaches a mechanics of materials course each year and is currently writing the fifth draft of an introductory textbook with the co-author. In 1983 he received the WPI Board of Trustees’ Award for Outstanding Teaching. He received his B.S. in
inmechanical, aerospace, civil, and materials engineering fields and commonly appear today inundergraduate mechanics textbooks, e.g. Beer, et al.4 and Shigley, et al.5Since Mohr’s seminal work, over the years several researchers and educators have made stridesto extend it, either for purposes of visualizing entire 2D or 3D fields (such as for stress) or forfurther enhancing the understanding of the state-of-stress at a single point through visualization.Regarding fields, Jermic, et al.6 present three different approaches to visualizing tensors (such asfor stress) in 3D space (hedgehogs, hyperstations, and hyperstream surfaces), primarily for use ingeomechanics applications. In another geomechanics application pertaining to oil wells, Zhou,et al.7
-Design of Machine Elements. MECH2500-Mechanics of Materials focuses onhow to calculate the stress induced by simple individual force, such as axial loading, bendingmoment, torsion and lateral shear force. At the end of the course, there is a short chapter aboutthe state of stress caused by the combined loading [1]. At the beginning of MECH3000-Design ofMachine Elements, the general state of stress caused by the combined loadings must be reviewedin detail, because a prerequisite for using the failure theory is to determine the state of stress ofthe point [2]. Thru our assessment process, we found that there was a common issue that studentshad some difficulty in effectively calculating the general state of stress of components withmultiple
Paper ID #18108Facilitating Learning of Projectile Problems with a Unified ApproachDr. Yan Tang, Embry-Riddle Aeronautical Univ., Daytona Beach Dr. Yan Tang is an associate professor of mechanical engineering at Embry-Riddle Aeronautical Uni- versity in Daytona Beach, Fla. Her current research in engineering education focuses on cognitive load theory, deliberate practice, and effective pedagogical practices. Her background is in dynamics and con- trols. c American Society for Engineering Education, 2017 Solving Projectile Problems by using a Unified ApproachAbstractWhat projectile
Paper ID #18993Homework Methods in Engineering Mechanics: Part 3Dr. Derek James Lura PhD, Florida Gulf Coast University Dr. Derek Lura is an Assistant Professor in the Department of Bioengineering at Florida Gulf Coast University, Fort Myers. He received his PhD in Mechanical Engineering from the University of South Florida in 2012. He is committed to developing his courses to apply and develop best practices from the scholarship of teaching and learning. Outside of course development, his primary research interests are in biomechanics, rehabilitation, prostheses, and robotics. His current research projects include
novice reasoning in mechanics of solids- A work in progressIntroduction Engineering degree programs such as civil engineering, mechanical engineering,materials engineering, and industrial engineering generally require an advanced course inengineering mechanics, typically in the second or third year. The course is most commonlyknown as “Strength of Materials”, “Mechanics of Materials”, or “Mechanics of Solids”. For theduration of this paper this course will referred to as Mechanics of Solids (MOS) [1]. Mechanics of Solids (MOS) has become the bridge and bond between elementary andspecialized knowledge for engineering students. Although categorized as a basic course,engineering mechanics, and MOS
- versity. He Has over thirty years of teaching experience at different universities such as Northeastern, Suffolk and Tufts. He has been teaching as a professor in the department of mechanical engineering at Wentworth Institute of Technology for the last twenty years. Dr. Olia has taught variety of courses such as Statics, Dynamics, Mechanics of Material, Vibrations and System Dynamics. Professor Olia has pub- lished more than eighteen technical papers in the areas of stress concentration in the hybrid composites, adhesively bonded composite joints with gaps subjected to bending, biomechanics and dynamic response of adhesively bonded joints. Professor Olia has appeared in a WBZ-TV Channel 4 news interview as an expert
Consulting Engineers in Natick, Massachusetts. c American Society for Engineering Education, 2016 Engineering Students Understand the Elastic Neutral Axis, but What about the Plastic Neutral Axis?AbstractStarting in engineering statics, undergraduate engineering students are taught how to find andcalculate the elastic neutral axis (ENA) for a cross sectional shape by finding the centroid. Theconcept of the ENA is fundamental in terms of understanding and determining the flexuralbending stresses and deflections of beams where plane strains remain plane. However, theplastic neutral axis (PNA) is seldom discussed in undergraduate engineering mechanics courseseven in mechanics of materials
Paper ID #16398Analogy Methods to Address Warping and Plasticity in TorsionProf. Somnath Chattopadhyay, University at Buffalo, SUNY Dr. Somnath Chattopadhyay teaches mechanics, materials, manufacturing and design at University at Buffalo He has authored a text on Pressure Vessel s and till recently was an Associate Editor of the ASME Journal of Pressure Vessel Technology. His research interests are in the areas of fatigue and fracture of metals, carbon nanotubes, multi-scale material modeling and engineering education. He had a very successful industrial career with Westinghouse Electric where he directed and performed
known since it was first introduced by John Bernoulli in1717, and ever since it has been widely used in a variety of applications in mechanics. It isgenerally considered to be an advanced topic, and although most students have usually had oneor more Physics courses where work and energy principles were routinely discussed, it is seldomtaught in Mechanics of Materials courses. Considering the subject to be too advanced anddifficult to understand, instruction of the subject is often delayed for inclusion in StructuralAnalysis courses. In most textbooks, the subject is introduced using an imaginary or virtual forceto produce internal virtual loads that ride along the real displacements1-9. Whereas there isnothing technically wrong with this
Paper ID #14693Graphical Statics ReduxDr. Sarah Baxter, University of St. Thomas Dr. Baxter is a Professor of Mechanical Engineering in the School of Engineering at the University of St. Thomas in St. Paul, MN. She received her PhD in Applied Mathematics from the University of Virginia School of Engineering and Applied Science.Dr. Bethany Fralick, University of South Carolina, Aiken Dr. Fralick is an Assistant Professor of Engineering in the Department of Mathematical Sciences at the University of South Carolina Aiken in Aiken, SC. She received her Ph.D. in Mechanical Engineering from the University of South Carolina
Paper ID #23541Work in Progress: Active Learning Activities to Improve Conceptual Under-standing in an Undergraduate Mechanics of Materials CourseMr. Nick A. Stites, Purdue University, West Lafayette (College of Engineering) Nick Stites is pursuing a PhD in Engineering Education at Purdue University. His research interests include the development and evaluation of novel pedagogical methods to teach core engineering courses and leveraging technology to enhance learning experiences. Nick holds a BS and MS in Mechanical Engineering and has eight years of engineering experience. He also has four years of experience as an adjunct
AC 2008-66: UNDERSTANDING THE EFFECT OF RESIDUAL STRESSES ONSURFACE INTEGRITY AND HOW TO MEASURE THEM BY ANON-DESTRUCTIVE METHODDaniel Magda, Weber State University Page 13.1313.1© American Society for Engineering Education, 2008 Understanding the Effect of Residual Stresses on Surface Integrity and how to Measure them by a Non-Destructive MethodAbstractIn teaching the theory of solid mechanics of metallic materials there are basically two kinds ofstresses that a component can be subjected to. The first are the applied stresses generated from aloading condition that the component experiences in service. This load can be either a static ordynamic where the
2006-1321: A COMPARISON BETWEEN THE ENGINEERINGMECHANICS-STRENGTH OF MATERIALS COURSE IN THE ENGINEERING,AND ENGINEERING TECHNOLOGY PROGRAMS AT PENN STATELucas Passmore, Pennsylvania State UniversityAiman Kuzmar, Pennsylvania State University-Fayette Page 11.26.1© American Society for Engineering Education, 2006 A Comparison Between the Engineering Mechanics-Strength of Materials Course in the Engineering, and Engineering Technology Programs at The Pennsylvania State UniversityAbstractStrength of materials is a critical and essential course for both engineering and engineeringtechnology students with a mechanical focus such as those in the mechanical
Spectrum of Active Learning Activities in Engineering Mechanics Keywords: Active learning, hands-on activities, learning styles, Myers-BriggsAbstractThe introduction of active learning exercises into a traditional lecture has been shown to improvestudent learning. Hands-on learning opportunities in labs and projects provide a primaryapproach in the active learning toolbox. This paper presents a series of innovative hands-onactive learning activities for mechanics of materials topics. These activities are based on aMethodology for Developing Hands-on Active Learning Activities, a systematic approach forefficient and effective activity development, and were robustly evaluated at three institutions ofhigher learning. These
Paper ID #5674Laboratory Activities to Illustrate the Importance of Low Cycle FatigueDr. Stephen Boedo, Rochester Institute of Technology (COE)Dr. Elizabeth A. DeBartolo, Rochester Institute of Technology (COE) Elizabeth A. DeBartolo is an Associate Professor in the Mechanical Engineering Department at the Rochester Institute of Technology. She earned her B.S.E. at Duke University in 1994 and her Ph.D. at Purdue University in 2000. She works with students on assistive device design and determining mechani- cal properties of materials. DeBartolo serves on her college’s leadership teams for both multi-disciplinary capstone
Paper ID #7723A Study of Warping of Non-circular Shafts in TorsionProf. Somnath Chattopadhyay, Georgia Southern University Page 23.115.1 c American Society for Engineering Education, 2013 A STUDY OF WARPING OF NON-CIRCULAR SHAFTS IN TORSIONABSTRACTThis project is geared towards the study of warping as that takes place in non-circular shaftsunder torsion loading. For this purpose specimens of square cross-sections were used. .Thisactivity constitutes a laboratory unit in Mechanics of Materials course taught at the junior level.The students
superposition.IV. Concluding RemarksIn the method of model formulas, no explicit integration or differentiation is involved in applyingany of the model formulas. The model formulas essentially serve to provide material equations(which involve and reflect the material property) besides the equations of static equilibrium ofthe beam that can readily be written. Selected applied loads are illustrated in Fig. 1(a), whichcover most of the loads encountered in undergraduate Mechanics of Materials. In the case of anonlinearly distributed load on the beam, the model formulas may be modified by the user for aspecific nonlinearly distributed load.The method of model formulas is best taught to students as an alternative method, after they havelearned one or more of
AC 2010-1696: ACTIVE LEARNING STRATEGIES TO ENHANCE LEARNING INA CIVIL ENGINEERING GRADUATE VIBRATIONS COURSELuciana Barroso, Texas A&M University Page 15.120.1© American Society for Engineering Education, 2010 Active Learning Strategies to Enhance Learning in a Civil Engineering Graduate Vibrations CourseAbstractThis paper presents a first-semester graduate level course in structural dynamics that utilizesactive learning as a mechanism to address 1) higher expectations of learning, 2) varying levels oracademic background and preparation, and 3) diverse cultural backgrounds. Active learningstrategies used include cooperative learning, both
can interfere with their learning the content material and may frustrate them.Some of this extra effort is recovered by the equations solver which saves some time. Theautomatic solving of the equations and lack of computational practice can be problematic duringexaminations if numerical answers are heavily weighted.Conclusions:M-MODEL is a flexible, computer-based problem solving tool based on the problem statement,graphical, given/find, pre-calculations, post-calculations and equations mental representations ofa problem. It is consistent with the model building pedagogue of current mechanics education.Individual problem creators can program their own problems with minimal effort using the M-MODEL authoring tool.Its design encourages higher
choose Model #1 (based only on previouscoursework) because it can be used even before a semester begins and thus the instructor hassufficient time to consider what proactive measures s/he will use in the new semester. If aninstructor wants to generate a large number of good predictions, so the instructor can focus onindividual students, particularly those “academically at risk” students, Model #2 or Model #3 −which has moderate predictability to generate good predictions − can be used after the first orsecond mid-term exams.Finally, while the present study focuses on the engineering dynamics course, the methodologydeveloped in this paper is applicable throughout the typical mechanics course sequence (statics,dynamics, mechanics of materials, and
AC 2010-2141: DEVELOPMENT AND IMPLEMENTATION OFCHALLENGE-BASED INSTRUCTION IN STATICS AND DYNAMICSRobert Freeman, University of Texas, Pan AmericanHoracio Vasquez, University of Texas, Pan AmericanArturo Fuentes, University of Texas, Pan AmericanMartin Knecht, South Texas CollegeTaylor Martin, Univ of Texas at AustinJoan Walker, Long Island UniversityAraceli Ortiz, Tufts University Page 15.397.1© American Society for Engineering Education, 2010 Development and Implementation of Challenge-Based Instruction in Statics and Dynamics AbstractThis paper discusses challenge-based instructional (CBI) materials developed
. It is wellknown that most engineering material properties, external applied loads onstructures, and hence, the material point displacements, material element stressesor strains are not deterministic at all. In reality, these quantities are all random innature, and some of them are more random than others. But it is easy to assumethese quantities as deterministic to make our analyses simple and determination ofthese material property values as the mean statistical mean of the physical tests.The central variation of these quantities is ignored in the mechanical analysis ofstructures while computing material point displacements or material elementstresses or strain. One usually wonders whether such a deterministic analysis issatisfactory in
error is to identify its context. Fortunately, mechanics naturallylends itself to establishing well-defined categories that may be used to characterize variouselements of a given problem. It is well accepted that a given mechanics problem comprises threebasic elements: (1) Kinematics (geometrical properties), (2) Fundamental Laws of Mechanics(balance laws, such as Newton’s Laws), and (3) Constitutive Laws (material properties). In theirtextbook An Introduction to Statics and Dynamics, Ruina and Pratap refer to these elements asthe “Three Pillars of Mechanics”2. They present the pillars as a fundamental concept in theintroductory chapter, and repeatedly refer to them throughout the text [2]. The three pillarsconstitute a useful, consistent, and
of the Mechanical, Industrial, and Manufacturing Engineering Department, where he is the director for the Dynamic and Smart Systems Laboratory. He was promoted to the rank Associate Professor with tenure in 2010 and Professor in 2015. Dr. Elahinia’s research interests are advance manufacturing, modeling, control, and design of smart materials with an c American Society for Engineering Education, 2020 Paper ID #30531 emphasis on additive manufacturing of functional materials such as shape memory alloys for aerospace and biomedical application. At UToledo he has served as an investigator on
Paper ID #29858Enhancement of Students’ Technical Writing through a Combination ofClassroom ActivitiesDr. 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. Her teaching focuses on ma- terials science, mechanics of materials, and mechanical engineering design. Reihaneh’s primary research interests are design, manufacturing, characterization, and mechanics of soft materials and structures.Dr. Kamau Wright, University of Hartford Kamau Wright is an assistant
Paper ID #29965Structuring Student Success: Incorporating a Genre-based PedagogicalMethod to Improve a Strength of Materials Laboratory ManualDr. Eleazar Marquez, Rice University Eleazar Marquez is an Assistant Teaching Professor in the Department of Mechanical Engineering at Rice University.Dr. Samuel Garcia Jr., Texas State University Dr. Samuel Garc´ıa Jr. serves as a NASA Educator Professional Development Specialist at Kennedy Space Center and Assistant Professor of Practice for the LBJ Institute for Education and Research at Texas State University. c American Society for Engineering
AC 2009-1002: SELECTION OF MATERIALS FOR CONSTRUCTIONSomnath Chattopadhyay, Pennsylvania State University Page 14.1046.1© American Society for Engineering Education, 2009 Selection of Materials for ConstructionABSTRACT A systematic way of selecting materials for construction of buildings has been presented.This involves a study of relevant physical and mechanical properties, and how the deflectionsand stresses are related to the applied loads. The strength and stiffness characteristics are thenused to determine the composite parameters based on mechanical properties and these arethen input to a computerized database to facilitate the selection process. It is shown