  
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:
 Solve systems acting on particles and rigid bodies for resultant and component forces
 Solve for unknown forces in two and three dimensions in equilibrium conditions
 Analyze situations which include distributed forces and moments of inertia
 Analyze trusses, frames, beams, and cables for unknown forces
 Analyze situations including friction as a consideration
 Analyze virtual work using the potential energy equation

Special Facilities and/or Equipment  
  Scientific Calculator
 Overhead Projector

Course Content (Body of knowledge)  
  Force systems acting on particles and on rigid bodies
 Forces in a Plane
 Vectors
 Resultant vectors
 Resolution into components
 Forces in Space
 Addition
 Components
 Equilibrium of particles and rigid bodies in two and three dimensions
 External and Internal forces
 Vector Product
 Moment of a force about a point
 Scalar product
 Moment of a force about an axis
 Moment of a couple
 Addition of couples
 Reduction of a system to one force and one couple
 Equivalent systems
 Equilibrium of a rigid body in two and three dimensions
 Equilibrium of a twoforce body
 Equilibrium of a threeforce body
 Reactions at supports and connections
 Distributed forces
 Center of gravity of a twodimensional body
 Centroids of areas and lines
 Determination of centroids by integration
 Distributed loads on beams
 Center of gravity of a threedimensional body
 Determination of centroids by integration
 Moments of Inertia of Areas
 Moments of Inertia of a Mass
 Analysis of structures
 Trusses
 Simple trusses
 Analysis by method of joints
 Analysis by method of sectioins
 Frames
 Analysis of a frame
 machines
 Beams
 Types of loading
 Shear and bending moment in a beam
 Shear and bending moment diagrams
 Cables
 Cables with concentrated loads
 Cables with distributed loads
 Friction
 Dry friction and coefficient of friction
 Angles of friction
 Wedges
 Virtual work and stability of equilibrium
 Principle of Virtual Work
 Real machines
 Potential Energy
 Stability of equilibrium

Methods of Evaluation  
  Homework assignments such as problem sets and projects
 Might include unannounced short quizzes
 Two or more examinations during the quarter
 Comprehensive final examination

Representative Text(s)  
 Beer, Johnson, and Mazurek, Vector Mechanics for Engineers, Statics, 10th ed., Mc Graw Hill, 2013.

Disciplines  
 Engineering


Method of Instruction  
 Lecture, discussion, group work.


Lab Content  
 Not applicable.


Types and/or Examples of Required Reading, Writing and Outside of Class Assignments  
  Homework assignments: Problem sets require application of concepts and equations from class
 Text: Careful reading and rereading of the text and lecture notes
