ESC-211 Statics
This course is the first semester of a two-semester sequence in Engineering Mechanics. It presents the theory and application of the principles of statics for use in subsequent courses and in engineering practice. The subject of statics deals with bodies at rest or in equilibrium, including a study of force systems, vectors, analytical methods of solution, friction, center of gravity, centroids, and moments of inertia of areas.
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Course Outline
Department
Science and Technology
Course Description
This course is the first semester of a two-semester sequence in Engineering Mechanics. It presents the theory and application of the principles of statics for use in subsequent courses and in engineering practice. The subject of statics deals with bodies at rest or in equilibrium, including a study of force systems, vectors, analytical methods of solution, friction, center of gravity, centroids, and moments of inertia of areas.
Credit Hours
3Prerequisites
MAT-272 and PHY-151
Course Learning Outcomes
- Draw free body diagrams and apply the principles of equilibrium to determine the magnitude and direction of the unknown forces.
- Determine the location of the center of gravity of a body.
- Evaluate the moment of inertia of a cross-section about any given axis.
- Perform a force analysis on a simple truss and other types of engineering structures and mechanisms by means of the principle of equilibrium
Topic Outline
- 1. Forces in a plane, vectors, addition of vectors, and resolution of a force into components
- 2. Rectangular components, unit vectors, and addition by rectangular components
- 3. Equilibrium of a particle and free-body diagrams
- 4. Forces in space and direction cosines
- 5. External and internal forces, and equivalent forces
- 6. Vector product and moment of a force about a point
- 7. Scalar product, mixed triple product, and moment of a force about an axis
- 8. Moment of a couple and resolution of a force into a force and a couple
- 9. Reduction of a system of forces to one force and one couple, and further reduction of a system of forces
- 10. Equilibrium of a rigid body in two dimensions
- 11. Equilibrium of two- and three-force bodies
- 12. Equilibrium in three dimensions
- 13. Center of gravity and centroids of areas and lines, and composite plates and wires
- 14. Centroids by integration and the theorems of Pappus-Guldinus
- 15. Distributed loads on beams and forces on submerged surfaces
- 16. Center of gravity and centroid of a volume
- 17. Trusses: analysis by the method of joints
- 18. Trusses: analysis by the method of sections
- 19. Frames
- 20. Machines
- 21. Internal forces in members
- 22. Coulomb friction and angles of friction
- 23. Wedges and square-threaded screws
- 24. Axle friction, disk friction, and rolling resistance
- 25. Belt friction
- 26. Moment of inertia, polar moment of inertia, and radius of gyration