STATICS/DYNAMICS MNGN 317 A

FALL SEMESTER 1998

Text: Engineering Mechanics Statics and Dynamics(8th edition) by Hibbeler

Professor: Masami Nakagawa, Ph.D., BB 211, 273-2132,mnakagaw@mines.edu

Course Objectives and Structure

We move at a very rapid pace through a number of important concepts that you will use in later courses. Therefore, missing even one of 51 homework assignments could set you back seriously – it may be the only practice you get on a particular to pic. Be prepared to spend up to 10 hours every week just on homework. Most of the homework is taken from the textbook, but every so often, there will be a special set of homework devoted to mining related problems. These are given to you early, because th ey are longer and more difficult. Start these problems as soon as we have covered the appropriate topics. If you wait until the night before they are due, you will not have enough time to finish them.

This is an accelerated course, covering what normally is given in two semesters. When it is complete, you must be able to do the following (you will need these skills later):

  • Draw a complete free-body diagram of any system.
  • Analyze the equilibrium of any static system (2D and 3D), including friction.
  • Recognize the common connector types and their force and moment reactions.
  • Draw the internal shear and moment diagrams for a static beam.
  • Calculate the internal forces within a cable.
  • Find the centroid of a system.
  • Characterize the moments of inertia of a system using Mohr’s circle.
  • Determine whether a dynamical system can be treated as particles of rigid bodies.
  • Set up the most appropriate coordinate system (x-y, n-t, or r-q ) for the problem at hand.
  • Classify types of motion (translational, rotational, general planar, three-dimensional).
  • Solve simple cases of dependent motion.
  • Determine whether the equation of motion, work-energy, or impulse-momentum approaches are more appropriate for the problem at hand. Be able to work two different approaches for the same dynamics problem.
  • Distinguish between conservative and non-conservative systems.

In statics, certain key topics must be mastered by the student in order to proceed to the next course in an engineering curriculum. One of the key skills is the ability to draw free body diagrams (FBDs). Without this skill, the student is severely impa ired when solving design and analysis problems in engineering.

Most problems in statics can be directly solved using pencil, paper, and a calculator. However, with the computer software available today, a computer solution can provide a more complete solution to the problem. Once a problem has been solved on the c omputer the solution can be plotted for a range of configurations. These graphs can also be used to see the sensitivity to changes in the geometry or forces. During the semester, problems will be assigned that will involve computer work. These problems ca n be solved using computer packages such as a spreadsheet, math programs such as MathCAD, or programming in the computer language of the student’s choice.

Course Grading

The final grade is based on the student’s performance in various tasks. The points awarded for each task are as follows:

Hour Exams (3 @ 100 points each)

300

37.5%

Homework

300

37.5%

Projects (4 @ 25 points each)

100

12.5%

Final Exam

100

12.5%

Total

800

100%

Submittal of Written Work (homework, examinations, projects)

Written work is a record of the student’s performance and mastery of required engineering skills. It is important that all work be neat and arranged in an orderly fashion. Therefore:

  • Homework is due at the end of lecture. A few minutes will be used each day to answer questions on the current homework. Your homework should be done prior to the class period. Late homework will only receive half credit. Homework turned in after the a ssignment has been returned to the class will receive no credit.
  • It is permissible to work on homework together; however, each student must write/type up his/her own solution to be graded. Copying other student’s homework is not acceptable. When a computer solution is used, copies of the same printout are not accep table.
  • All homework must be submitted on E-2 paper (8.5 by 11 inches) in the following format:
  • Top margin: Course number, assignment number, date of the assignment submittal, name of the student, page number and total number of pages.
  • Problem number
  • A copy of the problem. Do not add anything to the problem.
  • Solution. Be sure to use appropriate significant figures in your solutions. Unless otherwise stated, 3 significant figures are required.
  • Each problem will be on a separate sheet of E-2 paper.
  • Neatness and a logical flow in your solutions are required. To draw FBDs, etc., a straight edge and compass (where appropriate) are required.

Posted Solutions

Solutions for the assigned homework, projects, and exams will be placed on reserve in the Library under the MNGN241 course number. An effort will also be made to have them posted on the class web site.

MNGN 317, Sections A, Fall Semester 1998

Date Material Covered Read Assign. H/W Assignment Projects
8/24 Course introduction; Forces #1 1.7, 9, 16, 2.2, 18, 29, belt speed
8/25 Forces, equilibrium 1.1 - 2.9 #2 2.49, 61, 95, 131
8/27 Moments 3.1 - 3.3 #3 3.7, 19, 28
8/30 Couples 3.4 #4 3.11, 32, 40, 77
8/31 Force Simplification 4.1 - 4.4 #5 4.9, 10, 20, 47
9/1 2-D equilibrium, free-body-diagrams 4.6 - 4.8 #6 4.50, 54, 78
9/3 3-D equilibrium 4.7 - 4.10 #7 4.73, 105, 111
9/6 3-D equilibrium & FBDs (continued) 5.1 - 5.4 #8 5.9, 28, 38
9/7 5.5 - 5.7 #9 5.40, 53, 64
9/8 5.1 - 5.7 #1 Assigned
9/10 Trusses 6.1 - 6.3 #10 6.9, 18, 23
9/13 Trusses (continued) 6.3 - 6.4 #11 6.34, 42, 47
9/14 Trusses (continued) 6.4
9/15 Frames 6.6 #12 6.67, 74, 83 #1 Due
9/17 Machines 6.6 #13 6.94, 111, 118
9/20 Frames and machines (continued) 6.6
9/21 Review for test 1.1 - 6.4
9/22 TEST   1   (7:30 - 9:30 PM)
9/24 No class
9/27 Friction 8.1 - 8.2 #14 8.9, 17, 22
9/28 Friction (continued) 8.3 - 8.8 #2 Assigned
9/29 Centroids 9.1 - 9.3 #15 9.9, 35, 66, 70
10/1 Fluid pressure resultants 9.5 - 9.6 #16 4.143, 145, 9.107
10/4 Moments of inertia 10.1 - 10.5 #17 10.2, 7, 22
10/5 Mohr's circle for moments of inertia 10.1 - 10.5 #18 10.29, 58
10/6 Mohr's circle for moments of inertia 10.6 - 10.8 #19 10.73, 81
10/8 Mass moments of inertia;   Review 10.9 #20 10.84, 121 #2 Due
10/11 C o l u m b u s      d a y    h o l i d a y
10/12 TEST   2   -  Statics final
10/13 Kinematics - rectilinear motion 12.1 - 12.2
10/15 Curvilinear motion - (x-y) coordinates 12.3 - 12.5 #21 12.85, 94, 95
10/18 Normal - tangential (n-t) coordinates 12.6 #22 12.111, 122, 123
10/19 Cylindrical (r-ø) coordinates 12.7 #23 12.166, 175
10/20 Relative motion 12.8 - 12.9 #24 12.195, 198, 206
10/22 Particle kinetics - equation of motion 13.1 - 13.4 #25 13.2, 5, 11, 25
10/25 Equation of motion (n-t) coordinates 13.5 #26 13.53, 62, 78, 81
10/26 Equation of motion - cylindrical coordinates 13.6 #27 13.90, 101, 105, 111
10/27 Particle kinetics - work and energy 14.1 - 14.3 #28 14.2, 14, 27, 31
10/29 Particle kinetics (continued)
11/1 Power and afficiency 14.4 #29 14.41, 50, 54, 55
11/2 Conservation of energy 14.5 - 14.6 #30 14.70, 86, 89, 95
12/10 Dead day - no class
FINAL EXAM