Summary: Equilibrium and resultants of force systems in a plane and in space; analysis of structures, friction, centroids, moments of inertia, and virtual work method. Methods of analysis are emphasized.
Corequisite: MATH 2574 or MATH 2574C.
Prerequisite: PHYS 2054. (Typically offered: Fall, Spring and Summer)
Text Book: Jong, I. C., Engineering Mechanics: Statics, Second Edition, 2013, Great River Learning, Debuque, IA.
9 collections of homework (each worth 5 points), 6 quizzes (each worth 10 points), 3 tests (each worth 100 points), n pop quizzes (each worth 5 pts), and a final exam (worth 100points). The total score you can possibly earn in this course may, therefore, be 505 + 5n points.
Time: 6:30-8:30, Tuesdays
Location: BELL 2267
- Test1 - 9/20 (Ch.1 ~ Ch.3)
Summary: Fundamental concepts/laws, addition and resolution of forces, equilibrium of particles, action to rotate a body, and moments with vector algebra
- Test2 - 10/30 (Ch.4 ~ Ch.6)
Summary: Equivalent and equipollent system, rigid-body equilibrium in a plane/space, POM, centroids and centers of gravity, areas/volumes, distributed loads, area moments of inertia, PAT, and trusses
- Test3 - 12/4 (Ch.6 ~ Ch.8)
Summary: Frames and machines, friction between rigid bodies, belt friction, work, displacement center, and virtual work
- Final Exam - 12/11 (Ch.1 ~ Ch.8)
Principle of Moments (POM)
- Resultant = sum of components
- Moment of resultant = sum of moments of components
Parallel-Axis Theorem (PAT)
The moment of inertia of a body about a given axis is related to the moment of inertia about a centroidal axis parallel to the given axis as follows:
Work is energy in transition to a system due to force or moment acting on the system through a displacement. Note that Heat is energy in transition to a system due to temperature difference between the system and its surroundings. Work differs from energy in that workis nota property possessed by a system, while energy (e.g., kinetic energy or potential energy) is. Work is a boundary phenomenon.
Virtual Work Method
Three major steps for virtual work method:
- Draw the free-body (FBD) diagram.
- Draw the virtual-displacement diagram (VDD) with a strategy, which gives the free body a compatible virtual displacement in such a way that the one specified unknown, but no other unknowns, will be involved in the virtual work done.
- Set the total virtual work done to zero in order to solve for the unknown.
- Jong, I. C., “Kindling Students’ Interest in Virtual Work Method: Advantages and Challenges,” Proceedings of the 2004 ASEE Midwest Section Conference, Pittsburg, Kansas, September 29 - October 1, 2004.
- Jong, I. C., “Teaching Students Work and Virtual Work Method in Statics: A Guiding Strategy with Illustrative Examples,” Proceedings of the 2005 ASEE Annual Conference & Exposition, Portland, Oregan, June 12-15, 2005.
- Jong, I. C., “From Conventional Method to Virtual Work Method in Statics: Three Major Steps and One Guiding Strategy,” Proceedings of the 2005 ASEE/AaeE 4th Global Colloquium, Star City, Sydney, Australia, September 26-29, 2005.
- Jong, I. C., “Learning the Virtual Work Method in Statics: What Is a Compatible Virtual Displacement?,” Proceedings of the 2006 ASEE Annual Conference & Exposition, Chicago, Illinois, June 18-21, 2006. (Also presented at the 5th ASEE Global Colloquium on Engineering Education, Rio de Janeiro, Brazil, October 8-12, 2006.)