WAYLAND BAPTIST UNIVERSITY
PLAINVIEW CAMPUS
SCHOOL
OF MATHEMATICS & SCIENCES
WAYLAND MISSION STATEMENT:
Wayland Baptist University exists to educate students in an
academically challenging, learning

focused and distinctively Christian environment for prof
essional
success, lifelong learning, and service to God and humankind.
COURSE NO. AND TITLE:
MATH
330
3
–
Vector Mechanics
TERM:
Instructor:
Phone:
Email:
Office Location:
Office Hours:
Class Meeting Time and Location:
Description
:
This course devel
ops skills in vector algebra, components of vector forces, equilibrium,
moments, couples, free

body diagrams, centroids, and analysis of structure. This course is designed
primarily for pre

engineering students
Prerequisite:
MATH 3300 or consent of inst
ructor
Text:
Vector Mechanics for Engineers: Statics, 9th Ed., by Beer, Johnston and Eisenberg (McGraw Hill)
*Refer to official booklist
Supplies:
All students need to have a scientific calculator that has at least log x, ln x, and the
exponential func
tions. (I recommend the TI

83, TI

86 or TI

89).
Course Outcome Competencies
:
Be able to discuss and work problems in the following areas:
Vectors
Forces
Systems of Forces and Moments
Objects in Equilibrium
Structures i
n Equilibrium
Centroids and Centers of Mass
Moments
Analysis of Trusses
Frames and Machines
Beams
Attendance:
All students are expected to attend all class sessions and are responsible for knowing the
material cover
ed.
No quizzes or exams can be made up unless arrangements PRIOR to the absence have
been made.
Any student missing more than 25% of the class will FAIL the class.
Disability Statement:
In compliance with the Americans with Disabilities Act of 1990 (ADA
), it is the
policy of Wayland Baptist University that no otherwise qualified person with a disability be excluded
from participation in, be denied the benefits of, or be subject to discrimination under any educational
program or activity in the university
. The Coordinator of Counseling Services serves as the coordinator
of students with a disability and should be contacted concerning accommodation requests at (806) 291

3765. Documentation of a disability must accompany any request for accommodations.
C
ourse Requirements:

suggested
Homework:
Homework will be assigned at the end of each section in the text and will generally be due
the next class meeting after the date of assignment. Late homework will NOT be accepted.
Exams:
During the semester the
re will be
3
exams. The content covered by each exam will be explicitly
discussed in class. The class period prior to each exam will include a review.
EXAM NOTEBOOK (OPTIONAL): All tests and corrections may be kept in a notebook to be turned in the
l
ast 2 weeks of class. This is optional; Notebook points will be added to your course average. Corrections
must be worked on a separate sheet of paper, and show the complete work for the problem.
1 test and corrections or 2 tests only
1
point
2 tests and corrections or 3 tests only
2 points
3 tests and complete corrections
3 points
Anything between point values gets the lesser number of points, ex: 3 tests and corrections
of 2 tests
gets only 2 points

it is not up to the next level.
Final:
The Final Exam will be comprehensive. All students will be required to take the Final Exam
Grading

suggested
Homework
Exams
Final
A: 90
–
100
B:
80
–
89
C:
70
–
79
D:
60
–
69
F: Below 60
Course Outline
Introduction
What is Mechanics?
Fundamental concepts and principles
Systems of Units
Conversion from one system of units to another
Method of problem solution
Numerical accuracy
Statics of Particles
Introduction
Forces in a Plane
Force on a particle. Resultant of two forces
Vectors
Addition of vectors
Resultant of several concurrent forces
Resolution of a force into components
Rectangular components of a force. Unit vectors
Addition of forces
by summing x and y components
Equilibrium of a particle
Newton’s first law of motion
Problems involving the equilibrium of a particle. Free

body diagrams
Forces in Space
Rectangular components of a force in space
Force defined by its magnitude and tw
o points on its line of action
Addition of concurrent forces in space
Equilibrium of a particle in space
Rigid Bodies: Equivalent Systems of Forces
Introduction
External and internal forces
Principle of transmissibility. Equivalent forces
Vector prod
uct of two vectors
Vector products expressed in terms of rectangular components
Moment of a force about a point
Varignon’s Theorem
Rectangular components of the moment of a force
Scalar product of two vectors
Mixed triple product of three vectors
Mo
ment of a force about a given axis
Moment of a couple
Equivalent couples
Addition of couples
Couples can be represented by vectors
Resolution of a given force into a force at O and a couple
Reduction of a system of forces to one force and one couple
E
quivalent systems of forces
Equipollent systems of vectors
Further reduction of a system of forces
Equilibrium of Rigid Bodies
Introduction
Free

body diagram
Equilibrium in two dimensions
Reactions at supports and connections for a two

dimensional st
ructure
Equilibrium of a rigid body in two dimensions
Statically indeterminate reactions. Partial constraints
Equilibrium of a two

force body
Equilibrium of a three

force body
Equilibrium in three dimensions
Equilibrium of a rigid body in three dimens
ions
Reactions at supports and connections for a three

dimensional structure
Distributed Forces: Centroids and Centers of Gravity
Introduction
Areas and Lines
Center of gravity of a two

dimensional body
Centroids of areas and lines
First moments of a
reas and lines
Composite plates and wires
Determination of centroids by integration
Theorems of Pappus

Guildinus
Volumes
Center of gravity of a three

dimensional body. Centroid of a volume
Composite bodies
Analysis of Structures
Introduction
T
russes
Definition of a truss
Simple trusses
Analysis of trusses by the Method of Joints
Analysis of trusses by the Method of Sections
F
rames and Machines
Structures Containing Multiforce Members
Analysis of a Frame
Frames which Cease to be Rigid when Deta
ched from Their Supports
Machines
Forces in Beams and Cables
Introduction
Internal Forces in Members
Beams
Various types of loading and Support
Shear and Bending Moment in a Beam
Shear and Bending

Moment Diagrams
Relations among Load, Shear, and B
ending Moment
Academic Honesty:
Disciplinary action for academic misconduct is the responsibility of the faculty
member assigned to this course. The faculty member is charged with assessing the gravity of any case
of academic dishonesty, and with gi
ving sanctions to any student involved.
T
his syllabus is only a plan.
The teacher may modify the plan during the course.
The requirements and
grading criteria may be changed during the course if necessary.
rev.
09/27/11
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