| 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
- convert units
2. Perform Vector Operations
- add, subtract
and multiply vectors
- find vector components
- work cross products
3. Apply forces to solve
two and three dimensional problems
- draw a free-body
diagram
- solve equilibrium
problems in two and three dimensions about a point
4. Apply moments and
forces to solve two and three dimensional equilibrium problems
- determine the
moment of a force
- determine the
moment about a line
- solve equivalent
systems
- represent a system
by a force and a couple
5. Solve problems involving
trusses, frames and machines
- analyze a frame
- analyze a truss
using the method of joints and the method of sections
6. Find the centroids
of lamina and bodies
- find the centroid
of an area or a volume using Calculus
- find the centroid
of a composite area or volume
- find the center
of mass of an area, length, or volume
7. Find the moment of
inertia of a body
- find the moment
of inertia of a body using Calculus
- find the moment
of inertia of a composite body
- use the parallel
axis theorem to find moment of inertia
8. Apply the theory of
dry friction to a body
- find the angle
of friction
- solve equilibrium
problems involving friction
9. Find internal forces
and moments of a beam
- find the axial
force, shear force and bending moment in a beam
- draw a shear and
bending moment diagram
- 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
- Converting different
units of measurement
- MKS and US measurement
systems.
II. Vector Operations
and Definitions 2.1-2.7:
- vector operations
- vector components
- dot and cross
products
- mixed triple products.
III. Forces to solve
two and three dimensional problems 3.1-3.4:
- free body diagrams
about a point
- equilibrium problems
in two and three dimensions.
IV. Moments and forces
to solve two and three dimensional problems 4.1-4.6:
- moment of a force
about a point or a line
- equivalent force-couple
systems.
V. Problems involving
objects in equilibrium 5.1-5.5:
- free body diagrams
of a body
- redundant and
improper supports
- three dimensional
applications.
VI. Problems involving
trusses, frames and machines 6.1-6.5:
- trusses by the
method of joints and sections
- forces and moments
on frames and machines.
VII. Centroids of lamina
and bodies 7.1-7.4; 7.6-7.8
- centroids for
a one, two or three dimensional body using Calculus
- centroids of composite
bodies.
VIII. Moment of inertia
of a body 8.1-8.2:
- moment of inertia
for an area
- parallel axis
theorem
- radius of gyration
of an area.
IX. Internal forces and
moments of a beam 10.1 - 10.3
- internal forces
developed in structural members
- force, shear and
bending moment diagrams.
X. Theory of dry friction
9.1
- 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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