# Outline of Course: Statics and Mechanics of Materials

Mechanics

Jul 18, 2012 (5 years and 10 months ago)

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KOÇ UNIVERSITY
College of Engineering
Mechanical Engineering Department

Course: MECH 201 Statics and Mechanics of Materials

Semester: Fall 2011

Instructor: Murat Sözer
Office: ENG 249, Phone: 1582, e-mail:
Office Hours: MW: 15:00-16:00 or by appointment.
msozer@ku.edu.tr

Lectures: MWF: 12:30-13:20, Room: ENG B29.

Teaching Assistants: Barış Çağlar, ENG 255 and ENG 106, Phone: 2603 and 2628, e-mail:
bacaglar@ku.edu.tr

M. Akif Yalcinkaya, ENG 255 and ENG 106, Phone: 2603 and 2628, e-mail:
myalcinkaya@ku.edu.tr

Aysen Sarioglu, ENG 255 and ENG 106, Phone: 2603 and 2628, e-mail:
asarioglu@ku.edu.tr

Credits: 3

Description: Statics: force, moment, equilibrium of rigid bodies, moment of inertia of areas, structural
analysis of trusses, frames and machines, internal forces and moments.
Mechanics of materials: normal and shear stresses and strains, mechanical properties of
transformation of stresses, principal stresses and Mohr’s circle, and beam deflection.

Textbook: “Statics and Mechanics of Materials” R.C. Hibbeler, Prentice Hall, 3rd ed. in SI units, 2011.

Prerequisite: “PHYS 101 and MATH 106”, or consent of the instructor.

Content: ---------------------------- PART I: Statics -----------------------------------------------------------------------
1. General Principles (Newton’s laws; SI units; dimensional homogeneity; significant digits).
2. Forces (2D and 3D forces; unit vectors; force components).
4. Equilibrium of a Rigid Body (support reactions; force and moment balance in 2D & 3D).
5. Structural Analysis (trusses, frames and machines; two-force members).
6. Moment of Inertia for an Area
-------------------------- PART II: Mechanics of Materials ------------------------------------------------
7. Stress and Strain (normal and shear stresses and strains; bending moment; torque;
factor of safety).
8. Mechanical Properties of Materials (tensile test; yield stress; ultimate tensile strength;
modulus of elasticity; elasticity; plasticity; necking; toughness; elastic recovery;
ductile and brittle materials; Poisson ratio).
9. Axial Load (elastic and plastic elongation; thermal expansion; strain in a composite).
10. Torsion (shear stress and strain due to torsion; power).
11. Bending (shear and bending diagrams; bending stress; tension and compression).
12. Transverse Shear (shear stress).
13. Combined Loadings (pressure vessels; combination of “torsion + bending + transverse
shear + internal pressure”; stresses on 2D and 3D elements).
14. Stress Transformation (2D Mohr’s circle; principal normal stresses; maximum shear
stress).
16. Beam Deflection (superposition; simply-supported and cantilever beams).
------------------------------------------------------------------------------------------------------------------------

(1) lecture notes; (2) last years’ (2002-2010) exams (problems & solutions) and (3) quiz solutions
are available in electronic format (PDF).

Grading: Attendance: 2% (See the next page for detail.)
HWs + Design Projects: 10% (Due at the beginning of class, no late submission is allowed.)
Quizzes 15% (In class and PS; closed notes) (No make-up!)
(The worst two of them will be omitted.)
Midterm Exam 1 20% The date is to be announced later by the Registrar Office.
Midterm Exam 2 20% The date is to be announced later by the Registrar Office.

Final Exam 33% The date is to be announced later by the Registrar Office.

HW Schedule: To be submitted 7 days after the related chapter is studied in the class.
(For example, if we finish covering Chapter 5 on Oct.17, then HW 5 is due Oct. 24, 12:30)

HW Chapter Exercises

1 1 1, 6, 8, 17, 18
2

2

19, 27, 71, 73, 75, 77, 82, 87, 90, 95

3

3

30, 34, 39, 43, 45, 49, 54, 81, 93

4 4 18, 23, 25, 35, 39, 42, 103, 108
5

5

25, 30, 37, 49, 51, 58, 74, 78, 79

6 6 42, 43, 53, 54, 65, 70, 75, 80, 85
7

7

5, 9, 41, 42, 50, 55, 69, 91, 101

8 8 1, 10, 11, 12, 16, 31, 33, 38,
9

9

27, 33, 42, 53, 54, 73

10

10

10, 13, 26, 84, 91

11 11 2, 6, 18, 24, 28, 51, 57, 58, 61, 91
12

12

2, 5, 9, 25, 26, 50

13

13

9, 29, 50, 51, 53, 57,
58, 67, 70

14

14

17, 21, 39, 42, 47, 106, 113

15 16 50, 51, 62, 73

Design Project
Schedule: To be submitted 14 days after the related chapter is studied in the class.
(For example, if we finish covering Chapter 5 on Oct.17, then DP 1 is due Oct. 31, 12:30)

Design
Project
(DP)
Chapter Project (details will be supplied in hand-outs)
DESIGN = “TECHNICAL DRAWING + ANALYSIS + SELECTION OF
MATERIALS”
1 5 Design a truss bridge (a span of 20 m) to carry a
maximum of 8 cars; select material and dimensions,
and calculate internal stresses in each member.
2 13 Design the rail of an overhead crane capable of
carrying 50 kN.
3 14
Design a cylindrical pressure vessel for a typical
scuba diving
oxygen
tank
.

4 4, 11 and 13 Conceptual Problems:
P4-5
P11-3
P11-4
P13-1
Tentative Schedule:
Day Date Chapter Day Date Chapter
1

Sept. 19

1

Nov.
07

Holiday

2 Sept. 21 2 Nov. 09
Holiday

3 Sept. 23 2 Nov. 11
Holiday

4

Sept. 26

3

21

Nov.
14

8

5 Sept. 28 3 22 Nov. 16 8
6 Sept. 30 3 23 Nov. 18 8
7

Oct.
03

4

24

Nov.
21

9

8 Oct. 05 4 25 Nov. 23 9
9 Oct. 07 4 26 Nov. 25 10
10 Oct. 10 5 27 Nov. 28 10
11

Oct. 12

5

28

Nov. 30

11

12 Oct. 14 5

29 Dec. 02 11
13 Oct. 17 5 30 Dec. 05 11
14

Oct. 19

6

31

Dec. 07

11

15 Oct. 21 6 32 Dec. 09
Review for Exam 2

16

Oct.
24

6

33

Dec. 12

12

17 Oct. 26
Review for Exam 1

34 Dec. 14 12

Oct. 28

Holiday

35

Dec. 16

13

18 Oct. 31 7 36 Dec. 19 13
19 Nov. 02 7 37 Dec. 21 14
20

Nov. 04

7

38

Dec. 23

14

39 Dec. 26 14
40 Dec. 28 16

41

Dec. 30

Review for Final Exam

Expected Studying Time:
Item Approximate studying
time [hours]
per week
Approximate studying
time [hours]
per semester
( = 14 weeks)
Lecture

3 * 0.833

= 2.50

35.00

Problem Solution Session (PS) 1.25 17.50
Review of
class notes

and PS

2.50 35.00

2.00

28.00

HW

2.
50

35.00

Weekly sub
-
total

10.75

Design Projects

10
.00

Midterm Exam 1 12.00
Midterm

Exam 2

12.00

Final Exam 20.00
TOTAL

2
04
.5
0

Attendance to class:
You are required to attend at least two thirds (= 67%) of the classes.
Attendance grade (out of 2%) is calculated as follows
(medical report or a similar excuse will not affect the grading):

Full attendance to the class: 5%
1-day-absence: 4%
2-day-absence: 3%
3-day-absence: 2%
4- or more-day-absence: 0%

Format of Exams: Allowed material:
textbook
and
calculator

.
Needed tools: For each class and PS, bring your
pencil
,
calculator
, and
notebook

.

Course Objectives:
This course is to have students become competent in …
• using vector mechanics;
• determining the conditions for equilibrium of rigid bodies;
• drawing free body diagrams and solving equilibrium equations;
• analyzing simple structures and frames;
• calculating internal forces, moments and stresses in structural members under combined
• understanding mechanical properties of engineering materials, and how a universal tensile
test is performed;
• transforming in-plane stresses to calculate principal stresses.

Course Outcome:
At the end of this course, the students will be able to …
• understand Newton’s laws;
• use appropriate SI units for force, moment, strain and stress;
• calculate unit and position vectors in 2D and 3D;
• use vector algebra in the analysis of forces, moments and couples;
• calculate the moment of a force about a point and about an axis in 3D using (1) cross-
product approach and (2) scalar approach;
• determine the resultant of a force system acting on a rigid body;
• identify the types of contact between rigid bodies (i.e., supports such as pin, roller, fixed,
ball-and-socket, etc.) ;
• isolate a rigid body from all of its contacts and draw the free body diagram;
• establish the equations of equilibrium for a rigid body or a group of rigid bodies;
• calculate unknown support forces and moments using equilibrium equations for a rigid
body;
• identify special equilibrium situations (two-force members);
• identify if static indeterminacy exists;
• calculate the internal normal forces (tensile and compressive) in structures composed of
simple trusses using (1) the method of joints or (2) method of sections;
• calculate internal forces (normal and shear) and moments (bending and torsion) in frames
and simple machines;
• plot shear force and bending moment diagrams in beams; and find the maximum
moment/shear and their locations;
• locate the centroid and moment of inertia of cross-sectional area of beams;
• understand normal and shear stress and strain;
• understand universal tensile test;
• understand mechanical properties (yield stress, ultimate tensile stress, modulus of
elasticity, modulus of rigidity, modulus of resilience, modulus of toughness and Poisson’s
ratio);
• understand basic concepts of elasticity and plasticity;
• calculate stresses and deformation of a bar due to (1) an axial loading, and (2) thermal
expansion;
• calculate shear stress in a shaft due to torsion;
• calculate bending stress in a beam due to bending moment;
• calculate shear stress in a beam due to transverse shear load;
• calculate normal and shear stresses in a beam due to combined loadings (normal and
shear forces, bending and torsional moments, and internal pressure in a pressure vessel);
• show stresses on infinitesimal 2D and 3D elements;
• use Mohr’s circle for in-plane stress transformation; and calculate principal stresses and
maximum shear stress; and show them on oriented infinitesimal elements;
• apply superposition method to calculate beam deflection for common loading cases for
cantilever and simply supported beams using a look-up-table.

Teaching Methods:
The following items are used
• lecture notes;
• lecture slides;
• homework and project assignment;
• laboratory experiments (3 experiments);
• problem sessions;
• review for exams.

Moral Expectations from Students

The students are expected to submit their
own work

in all exams, projects, homeworks
and class assignments.
• In quizzes and exams, students show how well they have learnt the
material. Therefore they should not exchange any information.
All forms of information transfer between students,
and
any

talking will be considered as cheating.
• In HWs, students enhance their knowledge and show their skills.
You can give/take brief tips from others verbally on how to do
things, but you are expected not to exchange papers, and not to work
together, or not let others do your work (even partially).

• Please be on time when entering the classroom. The class starts at
12:30; so be seated before 12:30.

• Please turn your mobile phones off, or put them them in silence mode
and do not use it at all.