College of Engineering Education

MECH 224 – COURSE SYLLABUS

1. Course Number: MECH 224

2. Course Name: Mechanics of Deformable Bodies
3. Course Description: This course deals with the analysis of the effect of internal force systems on
deformable bodies including stress and strain on rods, torsion on shafts, shear
and bending moment diagrams on beams, flexural and shearing stresses on
beams and built up sections, deflections on beams, and combined loadings.
4. Pre-requisite: MECH 222
5. Co-requisite: None
6. Credit: 5.0 units lecture
7. Class Schedule: 6 lecture hours per week

8. Program Educational Objectives (PEO) of BS Civil Engineering (BSCE) Program:

Three to five years after graduation, the BSCE graduates are expected to:
1. Demonstrate professional expertise with ethical responsibility in the practice of civil engineering
profession.
2. Show dedication and initiative in civil engineering research and innovation, or entrepreneurial
ventures, and professional development.

9. Student Outcomes (SO) of BSCE and their links to PEO

PEO
Upon graduation, the BSCE students are expected to demonstrate:
1 2
• SO a * Ability to apply knowledge of mathematics and science to solve engineering  
problems.
• SO b Ability to design and conduct experiments, as well as to analyze and interpret  
data.
• SO c Ability to design a system, component, or process to meet desired needs
within realistic constraints such as economic, environmental, social, political,
 
ethical, health and safety, manufacturability, and sustainability, in accordance
with standards.
• SO d Ability to function on multidisciplinary teams.  

• SO e * Ability to identify, formulate, and solve engineering problems.  

• SO f Understanding of professional and ethical responsibility.  

• SO g Ability to communicate effectively.  

• SO h Broad education necessary to understand the impact of engineering solutions  

in a global, economic, environmental, and societal context.
• SO i Recognition of the need for, and an ability to engage in life-long learning.  

• SO j Knowledge of contemporary issues.  

• SO k Ability to use techniques, skills, and modern engineering tools necessary for  
engineering practice.
• SO l Knowledge and understanding of engineering and management principles as a  
member and leader in a team, to manage projects and in multidisciplinary
environments.
Note: * SO being addressed in this course

MECH 224 – Mechanics of Materials Date Revised: Revision no.: Date Effective: Page 1 of 8
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MECH 224 – COURSE SYLLABUS

PROGRAM EDUCATIONAL OBJECTIVES

VISION: By 2022, a globally recognized institution
(PEOs) OF CIVIL ENGINEERING PROGRAM
providing quality, affordable and open education.
(CE)
MISSION: To provide a dynamic and supportive academic 1. Demonstrate professional expertise with
environment through the highest standards of ethical responsibility in the practice of civil
instruction, research and extension in a non-sectarian engineering profession.
institution committed to democratizing access to
education. 2. Show dedication and initiative in civil
engineering research and innovation, or
VALUES: Excellence, Honesty and Integrity, Innovation entrepreneurial ventures, and professional
and Teamwork development.

CORE COMPETENCY: “Quality affordable open education”

STUDENT OUTCOMES (SOs) OF CIVIL ENGINEERING

PROGRAM (CE)
a. Ability to apply knowledge of mathematics and science to
solve engineering problems. COURSE OUTCOMES (COs) of MECH 224 –
Mechanics of deformable bodies
b. Ability to design and conduct experiments, as well as to
analyze and interpret data.

c. Ability to design a system, component, or process to

meet desired needs within realistic constraints such as CO 1. Analyze structural members subjected
economic, environmental, social, political, ethical, health to internal force systems including tension,
and safety, manufacturability, and sustainability, in compression, torsion, bending and combined
accordance with standards. stresses using fundamental concepts of
stress, strain and elastic behavior of
d. Ability to function on multidisciplinary teams. materials.

e. Ability to identify, formulate, and solve engineering CO 2. Design sections of structural members
problems. including beams, frames, and trusses by
utilizing appropriate materials considering its
f. Understanding of professional and ethical responsibility. engineering properties involving stress
limitations and deflections.
g. Ability to communicate effectively.

h. Broad education necessary to understand the impact of

engineering solutions in a global, economic, environmental,
and societal context.

i. Recognition of the need for, and an ability to engage in

life-long learning.

j. Knowledge of contemporary issues.

k. Ability to use techniques, skills, and modern

engineering tools necessary for engineering practice.

l. Knowledge and understanding of engineering and

management principles as a member and leader in a
team, to manage projects and in multidisciplinary
environments.

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MECH 224 – COURSE SYLLABUS

10. Course Outcomes (CO)

Upon completion of the course, the BSCE students are SO
expected to: a b c d e f g H i J k l m n

CO 1. Analyze structural members subjected to internal force E E

systems including tension, compression, torsion, bending and
combined stresses using fundamental concepts of stress,
strain and elastic behavior of materials.
CO 2. Design sections of structural members including E E
beams, frames, and trusses by utilizing appropriate materials
considering its engineering properties involving stress
limitations and deflections.

Legend: I = Upon attainment of this CO, students will have been introduced to the SO.
E = Upon attainment of this CO, students will have enabled themselves to attain the SO.
D = Upon attainment of this CO, students will have demonstrated partly or fully the SO.

CO and Assessment Task Alignment

Assessment Task
CO Theory-based Practice-based Assessment Coverage
Schedule
CO 1. Analyze structural Problem Set Final Exam Topics from
members subjected to 1st to 18th
internal force systems Week
including tension,
compression, torsion,
bending and combined
stresses using
fundamental concepts
of stress, strain and
elastic behavior of
materials.
CO 2. Design sections of Problem Set Final Exam Topics from
structural members 1st to 18th
including beams, Week
frames, and trusses by
utilizing appropriate
materials considering
its engineering
properties involving
stress limitations and
deflections.

Assessment Task Details (Theory-based)

Assessment Coverage Assessment Details

Schedule Task
First Exam - - -

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MECH 224 – COURSE SYLLABUS

Second - - -
Third Exam - - -
Fourth Exam - - -
Fifth Exam - - -
Sixth Exam - - -
Seventh Exam - - -
Final Exam - - -

Assessment Task Details (Practice-based)

Assessment Assessment
Coverage Details
Schedule Task
First Exam Topics from Problem Set You are expected to develop a working knowledge and
1st to 3rd understanding concepts internal force systems and
Week stresses which includes the following:
a. Stress distribution on axially loaded bars
b. Axial, shear and bearing stresses
c. Stress on thin walled pressure vessels
Second Exam Topics from Problem Set You are expected to develop a working knowledge and
4th to 5th understanding on concepts of strain and deformation of
Week bars due to axial loadings and temperature changes
which includes the following:
a. Analyze stress-strain diagrams
b. Deformations on axially loaded bars
c. Generalized Hooke’s law
d. Thermal stresses
Third Exam Topics from Problem Set You are expected to develop a working knowledge and
6th to 7th understanding on concepts of torsion and its effect on
Week shafts which includes the following:
a. Torsion on circular shafts
b. Torsion on thin walled tubes
c. Torsion from power transmissions
Fourth Exam Topics from Problem Set You are expected develop a working knowledge and
8th to 9th understanding on concepts of shear and bending
Week moment diagrams which includes the following:
a. Formulation of shear and moment equations in
beams
b. Construct shear and moment diagrams in beams
Fifth Exam Topics from Problem Set You are expected develop a working knowledge and
10th to 11th understanding on flexural stress and properties of plane
Week areas which includes the following:
a. Centroid and moment of inertia of planes areas
b. Flexural stresses on beams
c. Design appropriate sections considering
economy and safety.
Sixth Exam Topics from Problem Set You are expected develop a working knowledge and
12th to 13th understanding on shear stress on beams which includes
Week the following:

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MECH 224 – COURSE SYLLABUS

a. Analyze vertical and horizontal shear stress

b. Design of built-up sections base on shearing
capacity of connectors
c. Design of sections based on shear and flexure
Seventh Exam Topics from Problem Set You are expected develop a working knowledge and
14th to 15th understanding on beam deflections which includes the
Week following:
a. Deflections using double integration, area
moment and superposition method.
Final Exam Topics from Problem Set You are expected develop a working knowledge and
16th to 17th understanding on internal force systems of structural
Week elements and its effect on deformable bodies using
concepts on stress and strain which includes the
following:
a. Analyze the effects of tension, compression,
torsion, bending, shear and combined loadings
on deformable bodies using concepts of stress
and deformation
b. Construct diagrams of internal forces including
shear, bending moment, axial and torsion.
c. Design sections based on the engineering
properties of materials and loadings that is
subjected to structural elements.

11. COURSE OUTLINE AND TIME FRAME

TIME FRAME TOPICS TLA REQUIRED READINGS

Week 1 • Orientation (UM VMG, CEE PEO, • Discussion
Grading System)

➢ Stress
Pytel, A., Kiusalaas J. (2010). Mechanics
❖ Analysis of internal • Lecture
of Materials. 2nd Edition, Chapter 1
forces; stress • Problem Solving
❖ Axially loaded bars • Quizzes/Plates
❖ Centroidal axial Beer, F. (2015). Mechanics of Materials.
loading 7th Edition, Chapter 1
❖ Saint Venant’s
principle
Week 2 ➢ Stress (Continuation)
to ❖ Shear Stress • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 3 ❖ Bearing Stress • Problem Solving of Materials. 2nd Edition, Chapter 1
❖ Stresses on inclined • Quizzes/Plates
planes
❖ Thin-walled pressure
vessels
FIRST EXAMINATION
Week 4 ➢ Strain
to ❖ Axial deformation; • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 5 stress-strain diagram • Problem Solving of Materials. 2nd Edition, Chapter 2
❖ Normal strain • Quizzes/Plates
❖ Tension test R.C. Hibbeler (2011). Mechanics of
❖ Working stress and
Materials. 8th Edition, Chapter 2 and 3
factor of safety

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MECH 224 – COURSE SYLLABUS

❖ Axially loaded bars

❖ Generalized Hooke’s
Law
❖ Statically
indeterminate
problems
❖ Thermal stresses
SECOND EXAMINATION
Week 6 ➢ Torsion
to ❖ Torsion on circular • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 7 shafts • Problem Solving of Materials. 2nd Edition, Chapter 3
❖ Torsion formulas • Quizzes/Plates R.C. Hibbeler (2011). Mechanics of
❖ Power transmission Materials. 8th Edition, Chapter 5
❖ Statically
indeterminate
problems
❖ Torsion on thin-
walled tubes
❖ Flanged-bolt
couplings
❖ Torsion on
rectangular bars
THIRD EXAMINATION
Week 8 ➢ Shear and Moment in Beams
to ❖ Supports and loads • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 9 ❖ Shear-moment • Problem Solving of Materials. 2nd Edition, Chapter 4
equations and shear- • Quizzes/Plates
moment diagrams
Beer, F. (2015). Mechanics of Materials.
❖ Area method for
drawing shear- 7th Edition, Chapter 5
moment diagrams

➢ Moving Loads
FOURTH EXAMINATION
Week 10 ➢ Review on Properties of Areas
to ❖ Centroids of plane • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 11 areas • Problem Solving of Materials. 2nd Edition, Appendix A
❖ First moment of an • Quizzes/Plates
areas
❖ Moment of inertia of
plane areas
Pytel, A., Kiusalaas J. (2010). Mechanics
➢ Bending Stress in Beams • Lecture
❖ Flexure Formula of Materials. 2nd Edition, Chapter 5
• Problem Solving
❖ Section Modulus • Quizzes/Plates
❖ Procedures in Beer, F. (2015). Mechanics of Materials.
determining bending 7th Edition, Chapter 4
stresses

➢ Composite Beams • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics

❖ Flexure formula for • Problem Solving of Materials. 2nd Edition, Chapter 9
composite beams • Quizzes/Plates
➢ Economic Sections
• Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
❖ Standard structural
• Problem Solving of Materials. 2nd Edition, Chapter 5
shapes
• Quizzes/Plates
❖ Procedure for
selecting standard
shapes

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MECH 224 – COURSE SYLLABUS

FIFTH EXAMINATION
Week 12 ➢ Shear Stress in Beams
to ❖ Analysis of flexure • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 13 action • Problem Solving of Materials. 2nd Edition, Chapter 5
❖ Horizontal shear • Quizzes/Plates
stress R.C. Hibbeler (2011). Mechanics of
❖ Vertical shear stress Materials. 8th Edition, Chapter 7
❖ Limitations of the
shear stress formula
❖ Rectangular and
wide-flange sections

➢ Design for Flexure and Shear • Lecture

• Problem Solving Pytel, A., Kiusalaas J. (2010). Mechanics
➢ Design of Fasteners in Built-Up • Quizzes/Plates of Materials. 2nd Edition, Chapter 5
Beams
SIXTH EXAMINATION
Week 14 ➢ Deflection of Beams
to ❖ Double-integration • Lecture Pytel, A., Kiusalaas J. (2010). Mechanics
Week 15 method • Problem Solving of Materials. 2nd Edition, Chapter 6
❖ Double-integration • Quizzes/Plates
using bracket R.C. Hibbeler (2011). Mechanics of
functions Materials. 8th Edition, Chapter 12
❖ Moment-area
method
❖ Method of Beer, F. (2015). Mechanics of Materials.
superpositions 7th Edition, Chapter 9
SEVENTH EXAMINATION
Week 16 ➢ Stresses Due to Combined
to Loads Pytel, A., Kiusalaas J. (2010). Mechanics
Week 18 ❖ Thin-walled pressure • Lecture of Materials. 2nd Edition, Chapter 8
vessels • Problem Solving
❖ Combined axial and • Quizzes/Plates Beer, F. (2015). Mechanics of Materials.
lateral loads
7th Edition, Chapter 7
❖ State of stress at a
point
❖ Transformation of R.C. Hibbeler (2011). Mechanics of
plane stress Materials. 8th Edition, Chapter 9 and 10
❖ Mohr’s circle for
plane stress
❖ Absolute maximum
shear stress
❖ Applications of stress
transformation to
combined loadings
FINAL EXAMINATION

12. TEXTBOOK: Pytel, A., Kiusalaas J. (2010). Mechanics of Materials. Phil. Edition, Cengage Learning

REFERENCES
a) Beer, F. (2015). Mechanics of Materials. 7th Edition. McGraw-Hill
b) R.C. Hibbeler (2008). Mechanics of Materials. 7th Edition. Pearson Prentice Hall
c) Craig, Roy R. (2011). Mechanics of Materials. 3rd Edition. Hoboken, NJ: John Wiley & Sons
d) Philpot, Timothy A. (2008). Mechanics of Materials: an Integrated learning system, NJ: John Wiley & Sons
e) Heyman, Jacues (2008). Basic Structural Theory. Cambridge; Cambridge University Press

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MECH 224 – COURSE SYLLABUS

13. COURSE EVALUATION

Assessment methods Weights
I. LECTURE 60%
A. Exam 1-7 30%
B. Exam 4 30%
40%
C. Quizzes 15%
D. Assignments/Plates 15%
E. Board Work/oral recitation/Seatwork 10%
100%

14. POLICIES AND GUIDELINES.

a. Attendance is counted from the first regular class meeting.
b. A validated student identification card must always be worn by all students while attending classes.
c. Cheating is strictly prohibited. Any form of dishonesty shall be dealt with accordingly. Honesty is called for at all times.
d. Valid examination permits are necessary in taking the examinations as scheduled. CELLULAR PHONES or any
ELECTRONIC GADGETS and PRESCRIBED PRC CALCULATORS are NOT allowed during EXAMINATIONS.
e. Base-15 grading policy should be observed. Students who obtained failing scores in major exams are recommended
to attend the tutorial class.

Prepared by: Reviewed by:

RAPHAEL NICO S. CASTAÑEDA, RCE SHOWNA LEE T. SALES, RCE, RMP, ME1
MICHELLE A. DAAROL, RCE BSCE, Program Head
JOSE S. CONDONAR JR., RCE, M.Eng-CE
Faculty

References reviewed by: Recommending approval:

VIRGINIA I. CAINTIC CHARLITO L. CAÑESARES, D.Eng-ME

AVP – Learning and Information Center Dean, College of Engineering Education

Approved by:

RONNIE V. AMORADO, PhD

SVP, Academic Affairs (Main)

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