Butler County Community College
Larry Friesen
Behavioral Science, Math, Science,  and Physical Education Division
Spring 2000
 
COURSE OUTLINE
STATICS

COURSE DESCRIPTION:
EN260 Statics. 3 hours credit. Prerequisites: PH 251 and MA 152 with a C or better. This is a course for pre-engineering students. Topics include: composition and resolution of forces; equilibrium of force systems; application of general laws of statics to engineering problems; analysis of simple structures; machine elements; centers of gravity; and moment of inertia.

TEXTBOOK:
Bedford, Fowler (1999), Statics, Engineering Mechanics (2nd Ed.). Addison Wesley.

COURSE OBJECTIVES:
At the successful completion of this course, the student should be able to:

1. Apply the fundamental concepts of engineering to problems

  1. convert units
2. Perform Vector Operations
  1. add, subtract and multiply vectors
  2. find vector components
  3. work cross products
3. Apply forces to solve two and three dimensional problems
  1. draw a free-body diagram
  2. solve equilibrium problems in two and three dimensions about a point
4. Apply moments and forces to solve two and three dimensional equilibrium problems
  1. determine the moment of a force
  2. determine the moment about a line
  3. solve equivalent systems
  4. represent a system by a force and a couple
5. Solve problems involving trusses, frames and machines
  1. analyze a frame
  2. analyze a truss using the method of joints and the method of sections
6. Find the centroids of lamina and bodies
  1. find the centroid of an area or a volume using Calculus
  2. find the centroid of a composite area or volume
  3. find the center of mass of an area, length, or volume
7. Find the moment of inertia of a body
  1. find the moment of inertia of a body using Calculus
  2. find the moment of inertia of a composite body
  3. use the parallel axis theorem to find moment of inertia
8. Apply the theory of dry friction to a body
  1. find the angle of friction
  2. solve equilibrium problems involving friction
9. Find internal forces and moments of a beam
  1. find the axial force, shear force and bending moment in a beam
  2. draw a shear and bending moment diagram
  3. use Calculus to find the relations between distributed load, shear force, and bending moment
TOPICAL OUTLINE OF UNITS:

I. Fundamental concepts of engineering problems 1.1 - 1.4

  1. Converting different units of measurement
  2. MKS and US measurement systems.
II. Vector Operations and Definitions 2.1-2.7:
  1. vector operations
  2. vector components
  3. dot and cross products
  4. mixed triple products.
III. Forces to solve two and three dimensional problems 3.1-3.4:
  1. free body diagrams about a point
  2. equilibrium problems in two and three dimensions.
IV. Moments and forces to solve two and three dimensional problems 4.1-4.6:
  1. moment of a force about a point or a line
  2. equivalent force-couple systems.
V. Problems involving objects in equilibrium 5.1-5.5:
  1. free body diagrams of a body
  2. redundant and improper supports
  3. three dimensional applications.
VI. Problems involving trusses, frames and machines 6.1-6.5:
  1. trusses by the method of joints and sections
  2. forces and moments on frames and machines.
VII. Centroids of lamina and bodies 7.1-7.4; 7.6-7.8
  1. centroids for a one, two or three dimensional body using Calculus
  2. centroids of composite bodies.
VIII. Moment of inertia of a body 8.1-8.2:
  1. moment of inertia for an area
  2. parallel axis theorem
  3. radius of gyration of an area.
IX. Internal forces and moments of a beam 10.1 - 10.3
  1. internal forces developed in structural members
  2. force, shear and bending moment diagrams.
X. Theory of dry friction 9.1
  1. coefficients of friction and angles of friction to solve problems involving friction.
METHODs OF INSTRUCTION:
Methods of instructions include lecture, small group work, and labs to modelphysical situations with calculators. Computer software and overhead transparencies may also be used.

METHODS OF EVALUATION:
Chapter tests will be given after each chapter. Homework assignments from each section will be collected and graded.

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