UNION COLLEGE

Mechanical Engineering Department

Fall 2018

Engineering Mechanics - Statics

MER-201

Professor Dr. Ashraf Ghaly, P.E.
Department Engineering
Office Olin 102D
Tel., email 518-388-6515, ghalya@union.edu

Lectures: MW 3:05PM-4:45PM, Location: N201. Click HERE for class presentations and lab tests.

Register Description: A basic engineering mechanics course concerned with the equilibrium of nondeformable bodies at rest or moving with a constant velocity on a straight path. Free body diagrams, Newtonian mechanics, vectors and the calculus are used to solve problems throughout the course. Topics include force vectors and systems, equilibrium, trusses, frames, friction, center of gravity, centroids, moments of inertia and fluid hydrostatics.  Prerequisites: [PHY 120 & (MTH 112 or MTH 113)] or IMP 120.

Required Text: Hibbeler RC. Engineering Mechanics: Statics, 14th Edition. Prentice Hall, 2016.

Homework:  Homework (HW) problems have been suggested according to the schedules provided in this syllabus but will not be collected.  Solutions will be available for all problems. Exam problems will be very much like these problems. The most successful students will work as many additional problems in the text as possible.

Exams: Three exams will be administered, two midterm exams during a lecture period and one final during the final exam period.  A single sided formula sheet prepared by each student will be allowed for each exam.

Office Hours: TTH 10:45-12:00PM, or by appointment. The instructor can see students whenever free.

Grades:  Course grades will be determined from: 30% each term exam and 40% final exam, and using this scale:

93-100 = A 90-92 = A- 87-89 = B+ 83-86 = B 80-82 = B- 77-79 = C+ 73-76 = C 70-72 = C- 60-69 = D 0-59 = F

Learning Objectives: Upon successful completion of this course, students will be able to:

Relationship of Course to ABET Program Outcomes:  Upon successful completion of this course, students will have:

Attendance & Punctuality:  Each student will be responsible for knowledge of all scheduling changes and announcements made in class. Without exception, no prior, late or makeup assignment will be administered, accepted or allowed without a College approved excuse.

Classroom Decorum:  Consider the classroom as our place of business (that is not to say that we will not have a laugh or have fun). Arrive in time so that you are prepared to work when the class period begins. Do not begin packing to leave until class is dismissed. Food is not allowed in the classrooms. Refrain from rising and leaving during class for a break unless it is absolutely necessary. You have completed your exam if you leave the room during the exam.

Recording:  No audio, photographic or video recording may be made in class or in the office of the instructor without the expressed consent of the instructor.

Department Statement on Academic Honesty:  The highest levels of ethical behavior are required of those in the profession of engineering and, by extension, of those preparing themselves to enter the profession. Furthermore, ethical behavior, especially in the area of academic honesty, is critically important to the entire educational and academic mission of the College. Therefore, the Mechanical Engineering Department takes matters of academic honesty very seriously. Further information on Union's Honor Code can be found here: honorcode.union.edu.

Students With Disabilities:  Contact the Office of Student Support Services for appropriate documentation to present to your professor should you require reasonable accommodations for your disability.  It is your responsibility to arrange for any accommodations in a timely manner.

COURSE SYLLABUS

Section

Chapter/Topic

---
1.1
1.2
1.3

General Principles
Mechanics
Fundamental Concepts
Units of Measurements

---
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9

Force Vectors
Scalars and Vectors
Vector Operations
Vector Addition of Forces
Addition of a System of Coplanar Forces
Cartesian Vectors
Addition of Cartesian Vectors
Position Vectors
Force Vector Directed Along a Line
Dot Product

---
3.1
3.2
3.3
3.4

Equilibrium of a Particle
Condition for the Equilibrium of a Particle
The Free Body Diagram
Coplanar Force Systems
Three Dimensional Force Systems

---
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.9

Force System Resultants
Moment of a Force - Scalar Formulation
Cross Product
Moment of a Force - Vector Formulation
Principle of Moments
Moment of a Force About a Specified Axis
Moment of a Couple
Simplification of a Force and Couple System
Further Simplification of a Force and Couple System
Reduction of a Simple Distributed Loading

---
5.1
5.2
5.3
5.4

Equilibrium of a Rigid Body
Conditions for Rigid Body Equilibrium
Free Body Diagrams
Equations of Equilibrium
Two and Three Force Members

4th week

FIRST MIDTERM EXAM (Chapters 2, 3, 4, 5)

 

Section

Chapter/Topic

---
6.1
6.2
6.3
6.4
6.6

Structural Analysis
Simple Trusses
The Method of Joints
Zero Force Members
The Method of Sections
Frames and Machines

---
7.1
7.2
7.3

Internal Forces
Internal Forces Developed in Structural Members
Shear and Moment Equations and Diagrams
Relations between Distributed Loads, Shear and Moment

---
9.1
9.2
9.4
9.5

Center of Gravity and Centroid
Center of Gravity [and] Mass and the Centroid of a Body
Composite Bodies
Resultant of a General Distributed Loading
Fluid Pressure

8th week

SECOND MIDTERM EXAM (Chapter 6, 7, 9)

---
10.1
10.2
10.3
10.4
10.5
10.6
10.7

Moments of Inertia
Definition of Moments of Inertia for Areas
Parallel Axis Theorem for an Area
Radius of Gyration of an Area
Moments of Inertia for Composite Areas
Product of Inertia for an Area
Moments of Inertia for an Area About Inclined Axes
Mohr's Circle for Moments of Inertia

---
5.5
5.6
5.7

Equilibrium of a Rigid Body
Free Body Diagrams
Equations of Equilibrium
Constraints and Statical Determinacy

---
8.1
8.2

Friction
Characteristics of Dry Friction
Problems Involving Dry Friction

Finals week

FINAL EXAM (All Chapters)

SUGGESTED HOMEWORK PROBLEMS

HW

Problems

1

1-19, 1-20, 1-21 (optional)

2

2-30, 2-111, 2-137

3

3-25, 3-49, 3-66

4

4-49, 4-137, 4-153

5

5-25, 5-61, 5-82

6

6-5, 6-17, 6-35

7

7-50, 7-57, 7-82

8

8-5, 8-26, 8-50

9

9-58, 9-123, 9-129

10

10-53, 10-69, 10-83


Professor Ghaly Homepage Union College Homepage