Conference Session

The 'Strengths' of Mechanics

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Casey Daniel Kidd, Louisiana Tech University; Ethan Clark Hilton, Louisiana Tech University

Tagged Divisions

Mechanics

. Hilton, "Work in Progress: Developing Mechanics of Materials Skills through an Integrated Prototyping Project". 2020 ASEE Virtual Annual Conference Content Access, Virtual On-line, June 2020. ASEE Conferences, 2021[2] L. W. Anderson and B. S. Bloom. A taxonomy for learning, teaching, and assessing: A revision of Bloom's taxonomy of educational objectives. Longman, 2001.[3] C. M. Halupa, and B. W. Caldwell., "A Comparison of a Traditional Lecture-Based and Online Supplemental Video and Lecture-Based Approach in an Engineering Statics Class." International Journal of Higher Education, vol 4, no. 1, pp. 232-240, 2015[4] G. B. Wright, "Student-centered learning in higher education." International Journal of Teaching and

Conference Session

Teaching & Learning Statics and Mechanics of Materials

Collection

2016 ASEE Annual Conference & Exposition

Authors

Sarah Baxter, University of St. Thomas; Bethany Fralick, University of South Carolina, Aiken

Tagged Divisions

Mechanics

, and ob, is applied at that same point. Figure 3: (a) The resultant force, R, magnitude and direction is determined by constructing a force polygon, adding the forces together; (b) rays are drawn from the pole point to the tail and head of each force. These rays form a triangle with individual forces and represent a non-orthogonal decomposition of each force. (c) The funicular polygon is constructed using the components of each force. The intersection of the extensions of the lines of action of the initial and final components defines a point through which the line of action of the resultant must pass. Figure 4: Connection between (a) arbitrary decomposition of a

Conference Session

Explorations in Mechanics Pedagogy

Collection

2015 ASEE Annual Conference & Exposition

Authors

Derek James Lura Ph.D., Florida Gulf Coast University; Robert James O'Neill, Florida Gulf Coast University; Ashraf Badir P.E., Florida Gulf Coast University

Tagged Divisions

Mechanics

bothcompletion and accuracy, and partial credit was awarded for both. For the homework, since alarger number of problems were submitted, only a selection of problems that were submittedwere assessed for each assignment. Table 1: Description of courses included in the study ID Assessment Term Class Period Instructor(s) N* H1 Homework Fall 2013 TR 8:00-10:45am A&B 37 H2 Homework Spring 2014 TR 8:00-10:45am A&C 32 Q1 Quizzes Fall 2014 WMF 8:00-9:50am A&C 35 Q2 Quizzes Fall 2014 MWF 11:00-12:50pm B 33*N is the number

Conference Session

What's New in Mechanics of Materials?

Collection

2006 Annual Conference & Exposition

Authors

Michael Hennessey, University of St. Thomas; Luke Hacker, University of St. Thomas

Tagged Divisions

Mechanics

Page 11.502.9differential cube (Von Mises stress u ' = 10.6).Fig. 4 Differential cube and the state-of-stress at a point depicted in a medieval motif.Bibliography[1] Timoshenko, S. P., History of Strength of Materials, McGraw-Hill, 1953.[2] Mohr, C. O., “uber die Darstellung des Spannungszustandes und des Deformation szustandes eines Korperelementes,” Zivilingenieur, 1882.[3] Mohr, C. O., Abhandlungen aus dem Gebiete der technischen Mechanik, Wilhelm Ernst and Son, Berlin, 1906.[4] Beer, F. P., E. R. Johnston, and J. T. DeWolf, Mechanics of Materials, 4th Edition, McGraw-Hill, New York, 2006.[5] Shigley, J. E., C. R. Mischke, and R. G. Budynas, Mechanical Engineering Design, 7th Edition, McGraw-Hill, New York, 2004.[6] Jeremic, B

Conference Session

Innovations in Solid Mechanics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Irina Nicoleta Ciobanescu Husanu, Drexel University; Yalcin Ertekin, Drexel University

Tagged Divisions

Mechanics

Page 25.516.5characteristics of these materials. Load CellExtensometer Test Specimen (a) (b)Figure 1. (a) Schematic view of Tinius-Olsen Tensile Testing machine (b) Metal tensilespecimen recommended by ASTM (Gage length L0= 2.00in, D=.505in)During the testing, T/O machine will apply the load and an extensometer will record thecorresponding elongation during experimentation. The unit will record the load-elongation dataduring the experiment so this data can be plotted once the procedure is complete. Students willgain experience while setting the machine up by installing extensometer sensor and setting testspeed (ex. 0.025 in/min) and

Conference Session

Computer Tutors, Simulation, and Videos

Collection

2015 ASEE Annual Conference & Exposition

Authors

Moe Tajvidi P.E., Utah State University; Ning Fang, Utah State University

Tagged Divisions

Mechanics

of pre- and post-test experiments and involve a theoretically-intensive, highly-organized qualitative approach.AcknowledgementThis material is based upon work supported by the National Science Foundation under Grant No.DUE 1122654.Bibliography[1] Huang, S., & Fang, N. (2010). Prediction of student academic performance in an engineering dynamics course: development and validation of multivariate regression models. International Journal of Engineering Education, 26, 1008-1017.[2] Kumar, R., & Plummer, M. (1997). Using contemporary tools to teach dynamics in engineering technology. International Journal of Engineering Education, 13, 407-411.[3] Rubin, M. B., & Altus E. (2000). An alternative

Conference Session

Dynamic Pedagogies for Engineering Dynamics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Rachel Vitali, University of Michigan; Noel C. Perkins, University of Michigan; Cynthia J. Finelli, University of Michigan

Tagged Divisions

Mechanics

that then allowed to roll freely thereafter subject to dissipative effects. (a) (b)Figure 2: The two versions of experiment 2. (a) The wheelchair version included three IMUslocated on the back of the chair (green), on a wheel near the outer perimeter (blue), and on thesame wheel near the axel (red). (b) The Frisbee version included two IMUs located radially-symmetric on the underside. The IMU in the solid red box collected data for the assignmentwhereas the IMU in the dashed red box was added to minimize the effects of an eccentric mass.Following the demonstrations in class, the students were given the relevant data collected withthe IMUs to complete an assignment

Conference Session

Teaching Mechanics of Materials & General Mechanics

Collection

2010 Annual Conference & Exposition

Authors

Ganapathy Narayanan, The University of Toledo

Tagged Divisions

Mechanics

) - 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

Conference Session

Student Advancement in Mechanics of Materials

Collection

2018 ASEE Annual Conference & Exposition

Authors

Johanna Paulette Doukakis, Rutgers, The State University of New Jersey

Tagged Divisions

Mechanics

specific data collectiontools. Two threats to the validity of the data collected by using the think aloud method are; (a)incompleteness due to synchronization problems and (b) invalidity due to problems with workingmemory. Thinking aloud takes place concurrently with the cognitive process, hence a cognitiveprocess takes longer when think aloud method is used. For example, subjects frequently reportthat sometimes verbalization does not keep up with the cognitive process and that their thoughtprocesses may look incomplete or contains “holes” of which it is necessary to assume that anintermediate thought occurred here. The second reason states that “if the task is non-verbal andcomplicated, then verbalization will not only cost time but also space in

Conference Session

Homework, Learning, and Problem Solving in Mechanics

Collection

2016 ASEE Annual Conference & Exposition

Authors

Julian Ly Davis, University of Southern Indiana; Thomas McDonald, University of Southern Indiana

Tagged Divisions

Mechanics

already been tested withpositive results.[11]References[1] Hanson JH, Williams JM. (2008) Using Writing Assignments to Improve Self-Assessment and Communication Skills in an Engineering Statics Course. J. Eng. Educ. 97, 515–529.[2] Howard EA. (2011) Purdue e-Pubs How do Millennial Engineering and Technology Students Experience Learning Through Traditional Teaching Methods Employed in the University Setting? Available from: http://docs.lib.purdue.edu/cgttheses[3] Karr CL, Weck B, Sunal DW, Cook TM. (2003) Analysis of the Effectiveness of Online Learning in a Graduate Engineering Math Course. J. Interact. Online Learn.[4] Pascarella A. (2004) The influence of web-based homework on quantitative problem-solving in

Conference Session

Using Technology to Support Learning in Mechanics

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Anna K. T. Howard, North Carolina State University at Raleigh

Tagged Divisions

Mechanics

?Students experience a rhythm of class-homework-class-homework etc. But a flipped class musthave class-homework-prep-class-homework-prep etc. Students ask, “What’s my homework?”Teachers answer, you need to do these problems AND this prep before the next class.A course designed around days obscures the need to do both the homework problems and thepreparation for the next day. For example, does the preparation for Day 6 go with Day 5 or Day6? If it’s with Day 5, the preparation material is hard to find when reviewing Day 6 material. Butif it’s with Day 6, it doesn’t look like homework to do on Day 5. Appendix B shows apreliminary sketch from the team showing the learning objects with various break points.We decided to leave the prep work with the day

Conference Session

Teaching Dynamics

Collection

2009 Annual Conference & Exposition

Authors

Benson Tongue, University of California, Berkeley

Tagged Divisions

Mechanics

is thatthere is a personal connection between the professor and the small seminar group. That is a keyelement that, if not present, means one simply is teaching a tiny class, not a seminar.In a large group one can’t speak with every student every day but there have to be interactionswith some students each day. The break is an ideal time to do so in a free manner. Even if theinstructor doesn’t do anything more than let the students free for a few minutes, he can chat withthose in the front or walk up the aisles to chat with those further away.Once again - knowing their names is key. It’s not going to be helpful to say “Hey you, the girl inthe hat - let’s chat.” But it’s very easy to say “Evelyn, do you pronounce your last name B¨ uchneror

Conference Session

Mechanics Division Technical Session 4

Collection

2019 ASEE Annual Conference & Exposition

Authors

Eric Davishahl, Whatcom Community College; Todd R. Haskell, Western Washington University; Jill Davishahl, Western Washington University; Lee Singleton, Whatcom Community College; Wade H. Goodridge, Utah State University

Tagged Divisions

Mechanics

students at WCC and WWU in fall2018. The correct answer is in boldface. NA indicates students did not answer the question. Difficulty Point-biserial Item Description Index Correlation A B C D NA 1 2D position vector components 0.85 0.31 2 7 0 50 0 from length and angle given on annotated photo 2 Vector addition in 2D from point 0.58 0.50 0 23 34 2 0 labels on annotated photo 3 Visualizing direction of cross 0.69 0.63 1 5 12 41 0 product in 2D from position and force vectors referencing

Conference Session

Curriculum and Instruction in Engineering Mechanics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Javad Baqersad P.E., Kettering University; Yaomin Dong, Kettering University; Arnaldo Mazzei, Kettering University; Azadeh Sheidaei, Iowa State University; Basem Alzahabi, Alghurair University

Tagged Divisions

Mechanics

analysis.Prof. Arnaldo Mazzei, Kettering University Dr. Arnaldo Mazzei is a Professor of Mechanical Engineering at Kettering University. He specializes in dynamics and vibrations of mechanical systems and has conducted research in stability of automotive drivetrains, modal analysis, finite element analysis and computer aided engineering. His current work relates to system vibrations and automotive engineering. Dr. Mazzei received his Ph. D. in Mechanical Engineering from the University of Michigan (Ann Arbor) and both his M. Sc. and B. Sc. in Mechanical Engineering from the University of Sao Paulo (Brazil). He is an active member of SAE and SEM.Dr. Azadeh Sheidaei, Iowa State University Azadeh Sheidaei received her BSc in

Conference Session

Active Learning & Laboratories in Statics, Dynamics, and Mechanics

Collection

2016 ASEE Annual Conference & Exposition

Authors

Anu Osta, Rowan University; Jennifer Kadlowec, Rowan University

Tagged Divisions

Mechanics

cannon setup3. Data analysis and reportingThe numerical solution for calculating the ball’s trajectory based on the equations derived byParker7 is provided to the students in the form of an excel spreadsheet wherein the students enterthe values of exit velocity from (1), the projection angle, the measured range of the projectile,and the recorded time of flight. The excel VBA script outputs the X-Y co-ordinates of the dragsubjected and the ideal (no-drag) flight path. The students are asked to plot the following curves(a) Measured Range versus No-drag Range (b) Numerically calculated Height versus No-dragHeight and provide a suitable straight line fit to the data points for each of them.The final reporting requirements include (Q1) reporting all

Conference Session

Innovative Teaching Techniques in Mechanics

Collection

2007 Annual Conference & Exposition

Authors

Rungun Nathan, Villanova University

Tagged Divisions

Mechanics

conversations withstudents, particularly with those who did very well in the initial assessment; it is plannedto implement this technique in a more formal manner in the next academic year alongwith well instrumented surveys to evaluate the success of DI in a undergraduatemechanics class.1. Tomlinson, C. & Kalbfleisch, L. (1998, November). Teach me, teach my brain: A call for differentiated classrooms. Educational Leadership, 52-55.2. Tomlinson, C.A., & Allan, S. D. (2000). Leadership for differentiating schools and classrooms. Alexandria, VA: ASCD.3. Fischman, B. (as viewed on Jan 17, 2007) http://www.education.pitt.edu/leaders/FAQ/differentiatedinstruc.htm4. Felder, R. M. (as viewed on Mar 7, 2007) http://www.ncsu.edu

Conference Session

Enhancing the Statics Classroom

Collection

2018 ASEE Annual Conference & Exposition

Authors

Eric Davishahl, Whatcom Community College; Russell Pearce, Whatcom Community College; Todd R. Haskell, Western Washington University; Kordel J. Clarks, Student Representative - Whatcom Community College

Tagged Divisions

Mechanics

of a structural connection appropriately modeled as apin; (b) a problem figure with a schematic representation of a pin support; (c) a free-bodydiagram showing the reaction exerted by the pin in Cartesian components; (d) an alternate free-body diagram showing the pin reaction as a vector that forms a concurrent force system with theforces T and W; (e) the symbolic and numeric mathematical representations of the Cartesiancomponents of the reaction; (f) a narrative description of the pin reaction. When Steif [3] assertsthat a “deep understanding of Statics lies in being able to relate the symbols (forces and couples)to the interactions between bodies which they represent…,” he is expressing this idea ofrepresentational competence as a key

Conference Session

Enhancing Instruction in Statics, Dynamics, Mechanics

Collection

2017 ASEE Annual Conference & Exposition

Authors

M. Austin Creasy, Purdue Polytechnic Institute, West Lafayette

Tagged Divisions

Mechanics

Statics Homework Tools, Journal of Online Engineering Education 4.6. Bonham, S. W., Deardorff, D. L., and Beichner, R. J. (2003) Comparison of student performance using web and paper‐based homework in college‐level physics, Journal of Research in Science Teaching 40, 1050-1071.7. Cheng, K. K., Thacker, B. A., Cardenas, R. L., and Crouch, C. (2004) Using an online homework system enhances students’ learning of physics concepts in an introductory physics course, American Journal of Physics 72, 1447-1453.8. Dillard-Eggers, J., Wooten, T., Childs, B., and Coker, J. (2008) Evidence on the Effectiveness of On-Line Homework, College Teaching Methods & Styles Journal 4, 9-16.9. Al-Masoud, N. (2006

Conference Session

Mechanics Division Poster Session

Collection

2016 ASEE Annual Conference & Exposition

Authors

Hirohito Kobayashi, University of Wisconsin - Platteville

Tagged Divisions

Mechanics

more accurate tracking and will require more tracking time. Figure 7 Definition of the ROI and track points Any arbitral polygon shaped Region of Interest (ROI) can be defined by mouse clicking action (a). Once the ROI is defined, VML will automatically grid the ROI and locate tracking points within the ROI (b). Point data analysis: Users can also find three strain components (𝑒𝑥𝑥 , 𝑒𝑦𝑦 , 𝑒𝑥𝑦 ) at any point within the ROI by selecting the point with mouse clicking action. The location of the selected point and the strains measured at that point are displayed. (Fig.8). Figure 8 Definition of a point and strain measurement Users can select an arbitral point within the Region of

Conference Session

Teaching Statics

Collection

2009 Annual Conference & Exposition

Authors

John Dannenhoffer, Syracuse University; Joan Dannenhoffer, State University of New York, Morrisville

Tagged Divisions

Mechanics

roller, the only allowableforce is either up or down. Similarly, point E is pinned and hence the user must add (any) twoorthogonal reactions; there are actually 8 different combinations of reactions at the pinned jointat E that are allowed by ARCHIMEDES. Also, since point B is not external to the free-body, theuser is warned if any reactions are added at that point. Only if the reactions at all points arecorrect is the user allowed to proceed to the Equations. For a single free body, the consistencycheck simply ensures that the same name is not used for two different forces and/or couples. Page 14.480.6Page 14.480.7The syntax in the Equations

Conference Session

Mechanics, Hands-on Demo - Show & Tell!

Collection

2013 ASEE Annual Conference & Exposition

Authors

Edward J. Berger, University of Virginia

Tagged Divisions

Mechanics

notion of controlled vocabularies andthe overall conceptualization of the knowledge domain. Next, we illustrate the development ofspecific relationships and attributes, and highlight the challenges of establishing a knowledgearchitecture for seemingly straight-forward concepts (such as coordinate systems and units). Nextwe show how the ontology can also be linked to specific curricula and in particular learningoutcomes associated with courses (as well as ABET) in which specific concepts are introduced.Finally, we explain and demonstrate the query procedures through which the ontology is minedfor relationship information that–despite their expertise–experts may not fully be aware of. Ourresults so far indicate that an ontology can indeed be

Conference Session

Mechanics Division Technical Session 6

Collection

2019 ASEE Annual Conference & Exposition

Authors

Amir Danesh-Yazdi, Rose-Hulman Institute of Technology; Yi Wu, Penn State Erie, The Behrend College; Oladipo Onipede Jr., Penn State Erie, The Behrend College

Tagged Divisions

Mechanics

andconfusing for students. One manner in which we have attempted to simplify the sheer number ofmathematical approaches that the students need to consider in our Vibrations course is toconsider any linear SDOF and MDOF problem using a state-space approach, in which only fourmatrices,  A ,  B  , C  ,  D  , need to be obtained from the system in order to fully evaluate the 1 response and the associated properties (natural frequencies, damping ratios, mode shapes, etc.) ofthe system, regardless of the initial conditions or forcing function [1]. While we have found thisapproach to be effective in our instruction of the course, we have commonly encounteredscenarios in which the students have

Conference Session

Engaging the Online Classroom

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Jacob Matthew Cook, Oregon State University; Thomas W. Ekstedt, Oregon State University; Brian P. Self, California Polytechnic State University, San Luis Obispo; Milo Koretsky, Tufts University

Tagged Topics

Diversity

Tagged Divisions

Mechanics

, “Conceptual and Procedural Approaches to Mathematics in the Engineering Curriculum: Student Conceptions and Performance,” Journal of Engineering Education, vol. 101, no. 1, pp. 138–162, 2012.[3] R. A. Streveler, T. A. Litzinger, R. L. Miller, and P. S. Steif, “Learning Conceptual Knowledge in the Engineering Sciences: Overview and Future Research Directions,” Journal of Engineering Education, vol. 97, no. 3, pp. 279–294, 2008.[4] T. J. Moore, R. L. Miller, R. A. Lesh, M. S. Stohlmann, and Y. R. Kim, “Modeling in Engineering: The Role of Representational Fluency in Students' Conceptual Understanding,” Journal of Engineering Education, vol. 102, no. 1, pp. 141–178, 2013.[5] B. P. Self, J. M. Widmann, and G. C. Adam, “Increasing

Conference Session

Mechanics Division Technical Session 2

Collection

2019 ASEE Annual Conference & Exposition

Authors

Anna K. T. Howard, North Carolina State University

Tagged Topics

Diversity

Tagged Divisions

Mechanics

class. (seeFigure 2) The proportion of B grades increased by 21%, the proportion of D grades decreased by36%, and the proportion of F grades decreased by 62%.A Pearson Chi2 Test of Independence showed strong evidence that an association does existbetween students' final grades in Statics and the design phase they experienced (X2 [10, n=2,412]= 20.84, p = 0.016). The number of students in Phase 3 who earned a B is significantly higher(z=2.31, p

Conference Session

Assessment & Grading in Mechanics

Collection

2017 ASEE Annual Conference & Exposition

Authors

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

Tagged Divisions

Mechanics

) requiredObjects = [RAy , MA , wBC , VAB , VBC , VCD , MAB , MBC , MCD ] (b) optionalObjects = [RAx ] 2. Determine the following properties for all required and optional objects: • Upper bound (yUp), lower bound (yLower), right bound (xUp) and left bound (xLower). Note that these four properties together define the bounding boxes where the object should lie in order to be marked as correct (purple dashed lines in Fig. 4). • Name: identifies the name of the object. Figure 2 indicates the objects used in this study, and their corresponding names. Sometimes a required or optional object can be represented by more than one configuration, and therefore they should have more than one name

Conference Session

Grading and Feedback Models in Mechanics

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Charles S. White, Norwich University

Tagged Divisions

Mechanics

chronological order in Table 1. Table 1. Topics for Homework Problems/Quizzes Used in Current Study Quiz Problem Topic Designation A 3D Moment Calculation B Equivalent Force-Couple C Method of Sections D Shear Force/Bending Moment E Friction F Composite CentroidOnce the semester had ended and the final grades had been submitted, the instructor analyzed thesubmitted homework solutions and then compared them with the quiz scores

Conference Session

What's New in Mechanics of Materials?

Collection

2006 Annual Conference & Exposition

Authors

Adam Creuziger, University of Wisconsin-Madison; Wendy Crone, University of Wisconsin-Madison

Tagged Divisions

Mechanics

provided.AcknowledgmentsThe authors thank Prof. Plesha, Prof. Carpick and the EMA 303 Mechanics of Materials classesof Spring 2005 and Fall 2005. Erin Flater, Dave Grierson, Henry Brock, Nick Smith, GretaZenner, Anne Bentley are thanked for their input on the survey development. This work wasconducted as part of a project with the Delta Program in Teaching and Learning at the Universityof Wisconsin – Madison. The authors are grateful for support from a National ScienceFoundation CAREER Grant (CMS-0134385). Page 11.482.8 A: Spring Semester (40 Respondents) A: Spring Semester (40 Respondents) B: Fall Semester (61

Conference Session

Teaching Mechanics

Collection

2011 ASEE Annual Conference & Exposition

Authors

Shawn P Gross, Villanova University; David W Dinehart, Villanova University; Joseph Robert Yost, Villanova University; Aleksandra Radlinska, Villanova University

Tagged Divisions

Mechanics

already had amajor examination. Examples of this include Outcome 1-3 in Fig. 3(a) and Outcome 2-2 in Fig.3(b), which respectively are “Solve for unknown forces and moments acting on a 2-D rigidbody” and “Construct a free body diagram for a rigid body”. Both of these outcomes areintroduced early in the course and covered on the first examination, prior to the first overarchingproblem solution period.It is noteworthy that an increase in ratings is shown for all 28 learning outcomes. As expectedfor the reason described above, the most significant increases tend to occur on the learningoutcomes that have the lowest pre-survey scores. The “mean of mean” (i.e. average rating for alllearning outcomes covered on a given overarching problem) rating for

Conference Session

Teaching Mechanics of Materials

Collection

2014 ASEE Annual Conference & Exposition

Authors

William E. Howard, East Carolina University; Odis Hayden Griffin Jr. P.E., East Carolina University; Ihab Ragai, East Carolina University

Tagged Divisions

Mechanics

only a few beam elements are necessary to produceaccurate results.Non-Linear Analysis Introduction: As an introduction to non-linear analysis, we present aproblem from statics – a weight supported by two cables, as shown in Figure 4. Figure 4 Introductory Problem for Non-Linear AnalysisWe remind the students that when a member is subjected to an axial load, then its length willchange. Therefore, the geometry shown applies to either the geometry before the load is applied,or to the final geometry after the load is applied. If we assume that the geometry applies beforethe load is applied, then we can calculate the load in each wire (84.9 and 72.1 pounds for cablesA and B, respectively), and then the amount that each wire

Conference Session

Improving Mechanics Courses

Collection

2007 Annual Conference & Exposition

Authors

Ghodrat Karami, North Dakota State University; Robert Pieri, North Dakota State University

Tagged Divisions

Mechanics

the displacement.Therefore, the energy in a molecular system is: Est ? Â K st ( Rm / R0 m ) 2 where, Kst = stiffness 1 m 2constant, R = bond length and Ro = equilibrium bond length. Also, other types of bondingenergies can be formulated in similar forms as a multiplication of associated stiffness times the 1deformation. For example the energy due to bending is written as Eb ? Â K b (s m / s 0 m ) 2 where, m 2Kb is the bending