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Upon completion of this course, the students should be able to perform the
following tasks using spreadsheets and scientific calculators when
appropriate:
1. Find the resultant of any number of concurrent forces in space.
2. Resolve a force into orthogonal components.
3. Draw a free-body diagram of a particle (or object) which is in static
equilibrium.
4. Determine and use three-dimensional unit direction vectors to solve
problems involving the equilibrium of particles in space.
5. Use of the principle of transmissibility.
6. Use the vector product to determine the moment of a force about an
axis.
7. Determine the components of a moment vector about three mutually
perpendicular axes.
8. Determine the angle formed by two vectors by use of the scalar
product of the two vectors.
9. Determine the projection of a vector on a given axis by use of the
scalar product of two vectors.
10. Determine the component of the moment vector about an arbitrary axis
by use of the mixed triple product of three vectors.
11. Determine the moment of a force about an arbitrary axis by use of the
mixed triple product of three vectors.
12. Determine the moment of a couple.
13. Add couples vectorially, and replace a given couple with an equivalent
couple.
14. Replace a given force with a couple and a parallel force at a
different location.
15. Reduce a system of forces to one force and one couple.
16. Determine reactions at supports, and the various types of connections
for both two- and three-dimensional structures.
17. Recognize and understand how to analyze a two-force body.
18. Recognize and understand the various methods of analysis of a
three-force body.
19. Solve three-dimensional equilibrium problems.
20. Determine the centroids of areas, lines, volumes, and composite
bodies.
21. Use of the two theorems of Pappus-Guldinus.
22. Deal with distributed loads on beams, and with distributed
forces on submerged surfaces.
23. Use the method of joints to analyze the forces in members of simple
trusses, frames, and machines.
24. Use the method of sections to determine the forces in certain
members of trusses, frames, and machines.
25. Determine the internal forces and bending moments within structural
members.
26. Determine the relations among load, shear, and bending moment in
a beam.
27. Draw the shear and bending-moment diagrams for variously loaded
beams, and be able to locate the position of the maximum bending
moment.
28. Explain the laws of dry friction and belt friction, and the concept
of angle of friction.
29. Solve various practical dry-friction problems relating to simple
machines, wedges, square-threaded screws, and belts.
30. Determine the moment of inertia, for various simple and composite
areas.
31. Use the parallel-axis theorem for both areas and masses.
32. Determine the moment of inertia of a three-dimensional mass, a thin
plate, and a composite body.
33. Effectively interact with fellow students to solve engineering
problems.
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Hibbeler, Engineering Mechanics Statics, 9th Ed., Prentice Hall, 2001
Merriam, Engineering Mechanics, Volume 1, Statics, 5th Ed., Wiley, 2001