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Effective: Summer 2014

Prerequisites: Prerequisites: MATH 1B and PHYS 4A.
Grade Type: Letter Grade, the student may select Pass/No Pass
Not Repeatable.
FHGE: Non-GE Transferable: CSU/UC
5 hours lecture. (60 hours total per quarter)

Student Learning Outcomes -
  • The student will be able to analyze the forces, centroid and moments of inertia on structures, such as: - Trusses - Frames - Beams - Cables
  • The student be able to determine the equilibrium of particles and rigid bodies in two and three dimensions
Description -
Principles of statics as applied to particles and rigid bodies in two and three dimensions under concentrated and distributed force systems. Equilibrium conditions in structures, machines, beams and cables. Determination of centroids and moments of inertia. Dry friction and methods of virtual work.

Course Objectives -
The student will be able to:
  1. Solve systems acting on particles and rigid bodies for resultant and component forces
  2. Solve for unknown forces in two and three dimensions in equilibrium conditions
  3. Analyze situations which include distributed forces and moments of inertia
  4. Analyze trusses, frames, beams, and cables for unknown forces
  5. Analyze situations including friction as a consideration
  6. Analyze virtual work using the potential energy equation
Special Facilities and/or Equipment -
  1. Scientific Calculator
  2. Overhead Projector

Course Content (Body of knowledge) -
  1. Force systems acting on particles and on rigid bodies
    1. Forces in a Plane
      1. Vectors
      2. Resultant vectors
      3. Resolution into components
    2. Forces in Space
      1. Addition
      2. Components
  2. Equilibrium of particles and rigid bodies in two and three dimensions
    1. External and Internal forces
    2. Vector Product
    3. Moment of a force about a point
    4. Scalar product
    5. Moment of a force about an axis
    6. Moment of a couple
    7. Addition of couples
    8. Reduction of a system to one force and one couple
    9. Equivalent systems
    10. Equilibrium of a rigid body in two and three dimensions
    11. Equilibrium of a two-force body
    12. Equilibrium of a three-force body
    13. Reactions at supports and connections
  3. Distributed forces
    1. Center of gravity of a two-dimensional body
    2. Centroids of areas and lines
    3. Determination of centroids by integration
    4. Distributed loads on beams
    5. Center of gravity of a three-dimensional body
    6. Determination of centroids by integration
    7. Moments of Inertia of Areas
    8. Moments of Inertia of a Mass
  4. Analysis of structures
    1. Trusses
      1. Simple trusses
      2. Analysis by method of joints
      3. Analysis by method of sectioins
    2. Frames
      1. Analysis of a frame
      2. machines
    3. Beams
      1. Types of loading
      2. Shear and bending moment in a beam
      3. Shear and bending moment diagrams
    4. Cables
      1. Cables with concentrated loads
      2. Cables with distributed loads
  5. Friction
    1. Dry friction and coefficient of friction
    2. Angles of friction
    3. Wedges
  6. Virtual work and stability of equilibrium
    1. Principle of Virtual Work
    2. Real machines
    3. Potential Energy
    4. Stability of equilibrium
Methods of Evaluation -
  1. Homework assignments such as problem sets and projects
  2. Might include unannounced short quizzes
  3. Two or more examinations during the quarter
  4. Comprehensive final examination
Representative Text(s) -
Beer, Johnson, and Mazurek, Vector Mechanics for Engineers, Statics, 10th ed., Mc Graw Hill, 2013.

Disciplines -
Method of Instruction -
Lecture, discussion, group work.
Lab Content -
Not applicable.
Types and/or Examples of Required Reading, Writing and Outside of Class Assignments -
  1. Homework assignments: Problem sets require application of concepts and equations from class
  2. Text: Careful reading and rereading of the text and lecture notes