WAYLAND BAPTIST UNIVERSITY PLAINVIEW CAMPUS SCHOOL OF MATHEMATICS & SCIENCES WAYLAND MISSION STATEMENT:

frontdotardUrban and Civil

Nov 15, 2013 (3 years and 4 months ago)

56 views

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