Course Description
The student will apply a knowledge of mathematics and basic physics principles to the solution of equilibrium problems in two and three dimensions. After learning to identify forces and reduce them to equivalent systems, the student will use vector algebra in the solution of problems involving forces acting on rigid bodies, structures, and machines. In addition, methods of calculus will be used to locate centroids. IAI: EGR 942 Engineering.
Prerequisite(s)
PHYS 2614 and MATH 2515 - Must be completed prior to taking this course.
At the end of this course, students will be able to:
- Break force vectors into components and combine forces into a resultant.
- Compute moments and couples.
- Evaluate systems in force and moment static equilibrium.
- Determine forces on members in a truss, frame, and pulley.
- Apply friction laws to direction, wedges, belts, disks, and inclines.
- Determine the centroid of an area.
- Determine moments of inertia.
- Analyze forces, unit vectors, and components in 3 dimensions.
- Determine forces and moments by virtual work.
Topical Outline
1. General Principles
2. Force Vectors, Scalars, Vector Addition
3. Position Vectors, Dot Product,
4. Equilibrium, 3 D Force Systems
5. Cross Products, Moments about Point and Line
6. Couples and Reduction Wrench
7. Equilibrium Rigid Body, FBD, Support Reactions
8. Constraints, Trusses, Method of Joints
9. Method of Sections, Frames and Machines
10. 1Internal Loads, Shear and Bending Moments
11. Friction
12. Dry Friction, Wedges, Friction on Belts and Screws
13. Centers of Gravity, Center of Mass
14. Moments of Inertia, Parallel Axis Theorem
15. Virtual Work