ENGR:2750 MECHANICS OF DEFORMABLE BODIES
SUMMER 2016
THE UNIVERSITY OF IOWA
Instructor:
Professor Colby C. Swan, Ph.D.
4120 Seamans Center; 335-5831
Department of Civil & Environmental Engineering
colby-swan@uiowa.edu
Course Website:
ICON and www.masteringengineering.com
Textbook:
R.C Hibbeler, Mechanics of Materials, 9th Edition, Prentice Hall, New Jersey.
With the textbook you will need to purchase access to MasteringEngineering
which gives you access to this course whose ID is MESWAN40422.
Lectures:
M,T,W 8:30AM – 10:20 AM in 3115 SC (for face-to-face students)
Lecture videos are available for viewing at any time by both online and face-toface students.
Exams:
Quizzes/exams will generally be administered on Fridays via ICON. At a prearranged time of your choosing, you can obtain your quiz from ICON and you’ll
then have two hours to complete it, scan it to PDF, and submit it to the ICON
drop box.
Office Hours:
M,T,W,Th 11am-12:30PM, 4120 SC
Teaching
Assistant:
TBA
Office Hours
TBA on ICON
Homework/Exam/Grading Policy:
 Homework problems will be assigned, submitted, and graded using Pearson’s
MasteringEngineering system.
 So that you can experience a broad range of problems, you are encouraged to solve problems
from the textbook beyond just those that are assigned.
 Course grades will be based on six quizzes (@12.5% each) and homework (25%).
This course is given by the College of Engineering. This means that class policies on matters such as
requirements, grading, and sanctions for academic dishonesty are governed by the College of
Engineering. Students wishing to add or drop this course after the official deadline must receive the
approval of the Dean of the College of Engineering. Details of the University policy of cross enrollments
may be found at: http://www.uiowa.edu/~provost/deos/crossenroll.pdf
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ENGR:2750 Mechanics of Deformable Bodies
The University of Iowa
Summer 2016
COURSE SCHEDULE
Day
5/17
5/18
5/19
Lect.
1
2
3
4
5
6
Hour
1
2
1
2
1
2
7
8
9
10
11
12
1
2
1
2
1
2
13
14
15
16
17
18
1
2
1
2
1
2
19
20
21
22
23
24
1
2
1
2
1
2
25
26
27
28
29
30
1
2
1
2
1
2
31
32
33
34
35
36
1
2
1
2
1
2
5/20
5/23
5/24
5/25
5/27
5/30
5/31
6/1
6/3
6/6
6/7
6/8
6/10
6/13
6/14
6/15
6/17
6/20
6/21
6/22
6/24
Lecture Topic
Introduction/Equilibrium, Statics Review
Stress and Average Normal Stress
Average Shear Stress, Stress Tensor
Allowable stresses, Simple Connections
Definition/Meaning of Strains, Strain Tensor
Mechanical Properties of Materials
Exam Period #1
Elastic Deformation Under Axial Loads
Statically Indeterminate Members
Torsion of Circular Shafts, Torsion Formula
Angles of Twist, Gears
Statically Indeterminate Torsion
Shear and Bending Moment Diagrams (I)
Exam Period #2
Bending Kinematics, Flexure Formula
Biaxial/Unsymmetric Bending
Principal Axes of Cross-Sections
Composite Beams, RC Beams
Transverse Shear Stresses
Shear Flow
Exam Period #3
Stresses in Pressure Vessels, Combined Loads
Plane Stress, Stress Transformation
Mohr's Circle for Plane Stresses
Mohr’s Circle and Absolute Max Shear Stresses
Plane Strain and Strain Transformations
Mohr’s Circle for Strain Transformations
Exam Period #4
Strain Rosettes for Strain Measurements
Multiaxial Hooke’s Law
Theories of Material Failure
Prismatic Beam Design
Design of Fully-Stressed Beams
Design of Shafts
Exam Period #5
Deflection of Beams by Integration
Singularity Functions
Method of Superposition
Indeterminate Beams
Buckling of Rigid and Flexible Pinned Columns
Buckling of Columns with General Supports
Exam Period #6
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Text
1.1-2
1.3-4
1.5
1.6-7
2.1-2
3.1-7
4.1-2
4.3-6
5.1-3
5.4
5.5-7
6.1-2
6.3-4
6.5
App. A
6.6-7
7.1-2
7.3-4
8.1-2
9.1-3
9.4
9.5
10.1-2
10.3-4
10.5
10.6
10.7
11.1-2
11.3
11.4
12.1-2
12.3
12.5-6
12.7
13.1-2
13.3
ENGR:2750 Mechanics of Deformable Bodies
The University of Iowa
Summer 2016
Expectations:
1. This course is taken by both face-to-face students and online students. The boundaries between
these categories are soft. If any face-to-face student needs to miss class for any reason, they
can switch to online mode. And if an online student is at UI and wishes to come to a class, they
are always welcome to do so.
2. Given the nature of the course, attendance at class periods is encouraged but not required.
3. Since everyone has their own learning style there are a variety of resources available to help
learn the material: (1) the textbook; (2) the lecture notes and solved example problems; (3) the
lecture videos; (4) classroom sessions; and (5) interactions with the instructor and TA. It is
expected that each student will use those resources they find most helpful to their learning.
4. If you are putting time and effort into the course, and are using the resources provided, but are
struggling with the material, please let the instructor and/or the TA know.
5. All of the exams will be distributed and collected using ICON. When taking the exams, students
are to take them as if they were doing so in a classroom exam. In other words, students may
not give or receive assistance from anyone else, and may not use notes, textbooks, or internet
resources when taking the exam. Students who take the exam early in the day may not
communicate the contents of the exam to other students taking the exam later in the day. Since
the consequences of violating this policy are severe (violators will receive a failing grade of F for
the course), it is extremely unwise to cheat.
Course Overview
This course is taken by students in BME, CEE, and MIE programs who will need foundational
knowledge in mechanics of materials and structural mechanics to study more advanced related
topics in upper level courses. A pre-requisite for this course is Statics (ENGR:2110) which
teaches the basic principles of forces, moments, and equilibrium conditions for bodies in two
and three dimensions. We will begin this course with a very brief review [Ch. 1] of statics
principles. If you find that your understanding of Statics is somewhat shaky, then you will need
to do some additional review and practice problem solving at the beginning of this course.
While Statics allows us to solve for both the external and internal forces and moments acting on
mechanical systems, we will, in this course, actually begin to explore the nature of internal
forces and moments in structural members. We begin [Ch. 2] by defining the concept of stress
and then the different components of the stress tensor. Stress in a deformable solid material
generally results in deformation which is quantified by strain which is also a tensor quantity.
Hooke’s Law is introduced [Ch. 3, 10] to establish the relations between stress and strain for
linear elastic materials and the key parameters for isotropic solids are defined (Young’s
modulus, shear modulus, bulk modulus, Poisson’s ratio).
This course deals primarily, but not exclusively, with elongated axial members. For these types
of members we consider different possible internal forces and moments in a sequential manner:
1. forces acting parallel to the longitudinal axis [Ch. 4] which results in axial stresses and
overall extension or shortening of the member;
2. torsional moments acting parallel to the longitudinal axis [Ch. 5] which results in shear
stresses and strains over the cross-section and overall twisting behavior;
3. forces and moments acting perpendicular to the longitudinal axis [Ch. 6, 7, 12, 13] which
results in axial bending stresses and transverse shear stresses. The relationship
between bending moments and the development of beam curvature is emphasized.
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ENGR:2750 Mechanics of Deformable Bodies
The University of Iowa
Summer 2016
For each of these types of loadings we develop relations between the resultant internal forces
or moments and the corresponding stress and strain distributions over the cross-section. Since
structural members can in reality be experiencing all three types of loads (axial, torsional,
bending) simultaneously, the principle of superposition is introduced for linear elastic systems.
Engineered mechanical system must have sufficient strength, stiffness, and stability to carry
their intended loads. Mohr’s circle is introduced as a device for visualizing and performing
transformations of plane stress [Ch. 9] and plane strain [Ch. 10] allowing us to quantify extreme
(or principal) values of stress and strain components. Knowledge of extreme values of the
stresses is particularly important in the design of mechanical systems for strength [Ch. 11]. The
deflection equations for axially loaded members [Ch. 4], shafts [Ch. 5], and beams [Ch. 12] allow
us to design for stiffness of systems. Finally, Euler buckling of beam-columns is introduced
[Ch. 13] so that systems can also be designed for stability.
Course Goals.
At the successful conclusion of this course you will be able to:
1. Calculate the internal stresses, strains, and deformations in shafts, beams, and axial members
when given the external loads acting upon them.
2. Calculate how the components of stress and strain transform with changes of coordinate
systems. This includes being able to calculate principal stresses and strains.
3. Apply multi-axial forms of Hooke’s Law which relates stresses to strains in linear elastic
materials.
4. Calculate when buckling instabilities will occur in mechanical systems.
5. Design simple mechanical systems so that: (1) the strength of the materials is not exceeded; (2)
the systems do not deflect or twist excessively; and (3) the system does not experience buckling
instability.
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