GENE-121 STATICS Steven
D. Leftwich
Office: E509 442-3367
(Office) 344-9559 (Home) Email: sleftwich@wvutech.edu
SPRING 2004
3 Credit Hours
DESCRIPTION: Addition and resolution of forces, equilibrium of a particle,
moment of a force, vector methods, equivalent force systems, equilibrium in two
and three dimensions, analysis of trusses, analysis of frames and machines,
analysis of beams, shear and moment diagrams, friction, centroids, center of
gravity, and moment of inertia.
TEXT: Vector
Mechanics for Engineers: Statics and Dynamics, Beer, F.P., Johnson, E. R., and Eisenberg, E.R., 7th Edition; WCB McGraw-Hill, 2004.
OBJECTIVE: To introduce the student to the science of
mechanics which describes and predicts the conditions of rest or motion under
the action of forces. The statics
student will study the effect of forces acting on rigid bodies at rest. The secondary objective of this first course
in engineering mechanics is to develop in the engineering student the ability
to analyze any problem in a simple and logical manner and to apply to its
solution a few, well-understood, basic principles.
OUTCOMES: 1. Convert from one system
of units to another
2.
Add
vectors graphically
3.
Add
vectors by the parallelogram law
4.
Add
vectors by components
5.
Add
vectors by resolve forces into components in 2 and 3 dimensions
6.
Determine
the conditions of equilibrium for a particle
7.
Determine
the moment of a force about a point
8.
Determine
the moment of a force about an axis
9.
Find
the moment of a couple
10.
Reduce
a system of forces into one resultant couple
11.
Solve
for unknown forces and moments for rigid bodies in equilibrium in 2 and
3 dimensions
12. Solve for reactions at supports and connections of 2 and 3-D
beams, frames, and
trusses
13.
Determine
if a problem is well-posed, statically indeterminate, or partially constrained
14.
Solve
for the centroids of lines, areas, volumes, and composite shapes
15.
Analyze
trusses by the method of sections
16.
Analyze
trusses by the method of joints
17.
Analyze
frames and machines
18.
Determine
the shear and bending moments in beams
19.
Draw
shear and bending moment diagrams for statically determinate beams
20.
Solve
problems involving static and kinetic friction
21.
Analyze
wedges and screws
22.
Solve
for the moment of inertia for various cross-sectional areas
23.
Find
cross/vector product, scalar/dot product, and mixed triple product of 2+
vectors
24. Prepare a neat, logical, well-organized
written answer to a basic engineering problem
DATE TOPIC* READING HOMEWORK
Jan. 12 Introduction
14 Basic laws
and units Chapter
1
16 Vectors–graphical
addition 2.1
- 2.6
21 Vectors–
trigonometric addition 2.1
- 2.6
23 Rectangular
components of a force and unit vectors 2.7
26 Adding
forces using components 2.8
28 Equilibrium
of a particle (2D) 2.9
- 2.11
30 Forces in
space and equilibrium of a particle (3D) 2.12
- 2.15
Feb.
2 Vector (cross) product 3.1
- 3.5
4 Vector (cross) product 3.1
- 3.5
6 Moment of a force 3.6 - 3.8
9 Scalar (dot) product 3.9 - 3.10
11 Moment
about an axis 3.11
13 Couples 3.12
- 3.15
16 Equivalent systems of forces 3.16 - 3.20
-------
END OF MATERIAL TO BE COVERED ON EXAM #1 -------
18 Equilibrium of rigid bodies in two
(2D) dimensions 4.1
- 4.5
20 Equilibrium
of rigid bodies in two (2D) dimensions 4.6 - 4.7
23 Review
and Test No. 1
25 Equilibrium
of rigid bodies in three (3D) dimensions 4.8
- 4.9
27 Equilibrium
of rigid bodies in three (3D) dimensions 4.8
- 4.9
March 1 Trusses
- method of joints 6.1
- 6.5
3 Trusses - method of joints, zero members 6.1 - 6.5
5 Trusses - method of sections 6.7 - 6.8
8 Trusses - method of sections 6.7 - 6.8
10 Frames and
machines 6.9
- 6.12, 7.2
------- END OF MATERIAL TO BE COVERED ON EXAM
#2 -------
12 Laws of
friction 8.1
- 8.4
22 Review
and Test No. 2
24 Laws of
friction 8.1
- 8.4
26 Wedges,
screws, and belt friction 8.5
- 8.6, 8.10
29 Centroids
of areas and lines 5.1
- 5.3
31 Centroids of areas, lines, and composite
shapes 5.4 - 5.5
April 2 Centroids
by integration and surfaces of revolution 5.6
- 5.7
5 Distributed loads on beams and centroids
of volumes 5.8,
5.10
DATE TOPIC* READING HOMEWORK
April 7 Moment
of inertia, radius of gyration, and polar
moment of inertia 9.1 - 9.5
12 Parallel
axis theorem, composite areas 9.6
- 9.7
14 Parallel
axis theorem, composite areas 9.6
- 9.7
16 Product of
inertia 9.8
19 Product of
inertia 9.8
------- END OF MATERIAL TO BE COVERED ON EXAM
#3 -------
21
Shear and moment diagrams 7.3 - 7.5
23 Review
and Test No. 3
26 Shear and
moment diagrams 7.3
- 7.5
28 Relations
among load, shear, and bending
moment 7.6
30 Wrap-up
and review for final
May
7 Final
*Actual coverage may vary
Course Prerequisite: Math 155 Calculus I
Grading: 3 Tests 60%
Final
25%
Homework
15%
100%
** NOTE **
All hourly exams will be given outside the regularly scheduled class time. This is to allow at least one full class period in the course schedule to review homework problems before each exam and also to be generous in allowing extra time to take the exam. These exams will be given at mutually agreeable dates and times to be determined the first day of class.