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Unformatted text preview: CEE 372: Strength of Materials Lecture: MWF 8 — 9 WRB 2003
Credits: 3 credits.
Text: Mechanics of Materials, By Gere/Goodno 7 ti} Edition  Ceagage Learning Instructor: Raj V. Siddharthan, Ph.D., RE.
Room 224 SEM
P’hone: '784—1411(ofoce)
Email: [email protected] Ofﬁce Hours: Scheduled hours are posted outside my door, but feet free to check with
me Whenever you catch me in my ofﬁce. (MWF 9 — 1(3) Grading:
Two InsClass Exams 45
Exam FINAL 35
Homework 20
100 — / + System will be used
Last Fail: 60% of class got above B~IC+ Attendance: Attendance at lectures is mandatory. Unexcnsed absence of more than
“Two classes will result in drop in theﬁnal grade.” H om eyvork Assignments Homework is due one Week from the day they are given. if a hoiidav fails on the due day, then the next
day of class is fine IMPORTANT DEADLINES YOU SHOULD KNOW FOR THIS SEMESTER
— Finai date for late registration, payment of registration fees, (190%
refund provided courses are dropped by this date).
— Final date for addition of courses.
 Final date for dropping courses. " (SEE 372: Strength of Materials S trength of Materials/ Ream WRB 2003 No Lab. Instructor: Raj V. Siddhai'than, PhD. PE. Room 224 SEM
Phone: 784—1411 {ofﬁce}
Email: [email protected] Office Hours:Scheduled' hours are posted outside my
door, but feel free to check with me whenever you
catch me in my ofﬁce. MWF 9 — 10 Final Drop Date: Mare]: 13 — Friday Final Exam: .
May 11 — Monday um 7:30 — 9:39 An unexcused absence Attendance at lectures is
mandatory. Unexeused absence above “Two classes will result in drop in the
ﬁnal grade. ” ABE T/FE/PE Athdnmental Course: CE ME ME GE Credits: 3 credits lecture Text: Mechanics of Materials, By (3ch
7' ti: Edition (2008/2009)
— Cengagc Learning. Grading: Two IiiClass Exams
Exam 2F1NAL
Homework — t+ System will be used Last Time: 60% of class got above CHIS— Homework Assipnments: Homework is due one week from the day they are given. If a
hoEiday falls on the due day, then the next day of
' class is fine. OBJECIVE: .Study of the behavior of loud carrying objects when
applied with loads. We want to know about:
Stresses/strains/deﬂectt'nns/failnre mechanisms etc. Prerequisite: CEE/ME 241 — Statics Force/Moment Equilibrium; Trusses; Shem Fore
Bending Moment Cats and Diagrams; Center 0
Gravity; Second Moment ofAren; Obvious Functionai Disasters Ladies & Gentlemen, Neminees
for : “Best Contractor Awards” OTHER REFERENCES AND TEXTBOOKS
Textbooks used by other universities. Mechanics ui‘MatcrinIs, by Hibbler _ Mechanics of Materials, by Beer and Johnson ' Engineering Mechanics of Materials, by Muvdi and
. McNabh Mechanics ofMaleriaisg by Pupnv Mechanics ni‘ Materiais, by Bouid Mechanics of Materials, by Higdon, et ai. Obvious Functionaf Disasters Ladies 61: GcmEemen, Nominees
for : “Best Contractor Awards” . SMDXESS
2 mm”: i
i SWDSWE “mum you gﬂlmy “an?“ NICATiON _ my 5, CEE 372: Strength of Materials a » Vertical integration of
ideas and Concepts (e.g.
MathiPhysiCSIStatics} 5 Examples of Horizontal
integration  ‘ CEE 372: Engineering
Disgipimcs Seljygq I CM: Engineering _ _ I Meehanlcal Engineermg _
I I MmmgiGeologaca Engineermg I Chemica$ Engineen’og I Bio— Medica Engineering 3 I Eleéirieéi'lingineering: ' 
i :_:. ABET Requirement
BS Engineering students from all courses must attain: )an ability to appiy knowledge of mathematics, science,
and engineering ) an ability to design a system, component, or process
to meet desired needs within reaiisﬁc constraints
such as economic,environmental, social, political,
ethical, hcaith and safety. manefacturability,
and sustainabiiity e) an ability to identify, formuiate, and soive engineering
roblems i) an ”understanding of professional and ethicai reSponsibility g) an ability to communicate effectively '.{1) Too much Maéei'ial ...... 2) Ciass examples are ok; But Homework & Exams are Hard '(3) More Exams and More Examples.... Time/Timeffime
(4) Do not have class at 8am _ PhilosophicalConcernsiComments
{1} DO I NEED This Course._...ABET... FE...PE.... ‘ _ (2) Relation between Success and Grades
— BilE Gates! (LC. Myers  Larry Page & Sergey Brin  Google CEE 372: Where can I ﬁnd “W’ORKEB EXAMPLE ES”: 3 us Text Book _ _ _
i l in Class Worked Exam'pi es _I Othr Text Books:— List Provided If : ; I ”Schaum Series Book's. (MCGraw H} '
I ".w Sialics " .
w Mechanics of MaterlIFs ' m_ Strength of Maie_ria__ CEE 372: Strength of Materials : {3) E’mhiems at Innsbrook Apartment Complex ' (2) Water Treatment I’iam » South Reno (3} Truck Siamming into Calif. Overpass
(4) New Orleans  Kaérina Debacle (5) Minnesota Bridge Collapse (6} Mine Tommi Collapse in Utah Ami/Thing New & Exciting. {3) (7) Complex Nature of Soii ﬁtVerrnzano Nnrrows
Bridge Site, NY(1964) wwas the longest
9115 :1" 1"i“ (9) Renewal anncleur Testing at Nevada Test Site — 19703 Test ban treaty; Growth in Las Vegas;
— Lawrence Livermore National Laboratory {LLNLJ (1t!) Boston Tunnel Project (Big Dig) m 7.5 miles  Original Cost (1.991} ~ S 5.8 biilion
 Final Cost S 13.6 billion (Completed 2804)
wwwhoslon.comfg!obeltnetrm‘pnckagcsi’bechtelf in Bank of America .. Tower in NY One of the most highly efficient and
ecologically friendly buildings in the world.
Construction is expected to be completed in
2009, (See Text Provided: Power Gong Rain
water; Cog) n Seconddallest building in New York City "Reigtégéii . Edi" in . (8} Ferniey Canal Breech» Jan. 5, 2008. The canal
was built in 1903 and has been in operation for a
century. The failure affected more than 800 families
and the cost ~ $60 million. “Why Did it Fail Now?” k
GeoForensic Engineering... eote‘ch'nie ' Boston Big Dig: Costiier than the Panama Canal,
the Alaska Pipeline or the Hoover Dam;
Most costly Public. Works Progect in the US {11) Katrina Catastrophe ('2 005), New Orleans  Cost 3 mt) hiliion (1’)
w Failure of Levee System
 wwwdeadlykstriumcum ? Shape Memory Alloys (SMA) nsnt—
Healing Material Anyone? I A shape memory alloy [SMA, also known as a
 smart alloy, memory metal. or muscle wire} is an
alloy that "remembers" its shape. Afters sample of
SMA has been deformed tom its original
crystallographic configuration, it regains its original
geometry by itself during heating (oneway effect) or,
at higher ambient temperaturesmsimply during
unloading (pseudoelasticity or soperelasliclly).
These extraordinary properties are due to a
temperaturemdopendent martensitic phase
transformation from a [ow—symmetrylo a highly
symmetric crystallographic structure. Those crystal
structures are known as martensite (at lower
temperatures and austenito (at higher
temperatures . Environmental Advantages of Bank ef America at One Bryant
Park New Yerk City, NY The des1<111 0f1111e 11111111111g 111111111111<e1t e11virc111111e111211111y 111111111131. 1151111.: {60111101109138 Such as
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l. CONCEPT OF STRESS & STRAIN l.l Normal Stress and Strain
1.2 Stresswstrain Diagrams
1.3 Concepts of Elasticity and Plasticity, Repeated Loading, Fatigue
1.4 Hook's Law; Mooules of Elasticity
145 Shearing Stress and Strain
l.6 Ultimate and Allowable Stress; Factor of Safety
STRESS AND STRAIN FOR AXIALLY LOADED MEMBERS
2 l Deflections of Axially Loaded Members
2.2 Stresses on Inclined Sections
2 3
2 4
2 5 Poisson‘s Ratio
Multiaxial Loaéing; Generalizeé Eook‘s Law
Problems Involving Temperature Changes a
In
9 TORSION 3.1 Preliminary Discussion of the Torsion of a Circular
Shaft 3.2 Stresses in a Circular Shaft 3.3 Deformations in a Circular Shaft 3.4 Thin Walled Hollow Shafts INTRODUCTION TO THE BEAM THEORY 4 1 Types of Beams 4.2 Reactions 4 3 Shear Force and Bending Moment
A a Relationships Between Load, Shear Force, and Bending
Moment Shear ForoemBending Moment Diagrams R
1 General Discussion of Pure sensing 2 Normal Stresses in Beams .3 Normal Strains in Beams 4 .Beam Equation 5 Cross SectionalShapes of Beams 6 Shear Stresses in Common Types of Beams NALYSIS OF STRESS AND STRAIN l Plane Stress 2 Principal Stress; Maximum Shearing Stress .3 Mohr's Circle 4. General State of Stress 5 Application of Mohrfs Circle to ThreeDimensional Analysis
.6 Plane Strain
.7 Mohr‘s Circle for Plane Strain
.8 Three—Dimensional Analysis of Strain %§ a DEFLECTIONS OF BEAHS 7.1 integration Methods for the Ca
Deflections
7&2 MomentArea_Theorems
 SEPQIEE mgurgﬁ R REY METHODS Pure Bonding
Materials 10.1 Definition or COLUMNS PRESSURE VESSELS NONLINEAR BEEAVIOR 9.1 Nonlinear Behav
9.2 Nonlinear Tor '
9.3 E E 8 1 Strain Energy; Strain Energy Sens _8.2 Strain Energy Density
8 3 Virtual Work Principle
8 4 Introductory Agplications of ﬁne .Calctlation of Displacements in Some Spec of Members ﬁade fr 10.2 General Description of Method:
Statioally Inéeterminate Structures 11.1 Stability oﬁ Columns: Buckling
11.2 Pin Ended Columns; Euleris Formula
11.3 Columns with Other 11.4 Columns with Eccentric Axial Loads it?! , ,
ial Loading Cases rgy Methods onthe ior of Axially Loadeé.Members
Sion of Circular Bars om Elasto—PléStio a of Analysis of Suyport Conditions GEE 372 : Strength of Materials
ASSINGN'MENT ii 1 (Answer all Part1 and Part II questions. Always provide clear steps and diagrams) Part. I Find the centroidal distances xg and yg of the objects shown below in Fig. i. A four bar mechanism ABCD (Fig. 2) is attached by a spring at its left end. to rigid wall and at its right
end through another bar to the right rigid wall. All ﬁve bar members are rigid. The spring constant is
10.2 Who; This means a force of 10.2 RN is required to stretch the spring by l in. Initially, the when
a E 0, all bars are horizontal and the spring tension is 200 N. The load P was then appiied, and the
bars open to the position shown. Find the force P required to cause this deformation. The solid long circular cylinder (Fig. 3) rests in the trough as shown. Ail surfaces are smooth. The
weight of the cylinder is 392.4 N. Determine the forces on the cylinder from each of the walls. Fig. 4 shows two solid long cylinders each with weight W and radius r. The are lying within a
rectangular box of width L. Obviously, for cylinders to occupy the positions shown, 4r>L. Determine
the forces exerted by each of the cylinder upon the walls (RA and RD). Also determine the interaction force between the cylinders (RC). Provide clear steps and give answers in. terms of W, L and r. Explain the magnitude of the forces computed above, relative to the two following scenarios: 
Explain your answers clearly with diagrams. Scenario 1: What happens, when L slowly approaches 2r? Scenario 2: W hat happens, when L slowly approaches 41'? 50mm 4 " : TMOM so MGM ' mm mm mm B fie I .
E ,
£1153: ”A? Cﬁﬁwnﬂn’ {W {a ”are; mg“; :3” Part II: Brain Teasers ' 3. Tom and His Best Friend: Daily Torn walks up and down a hill. which is eight kilometers for a round trip. His
dog being slower, walks at one~third speed. Tom reaches the top of the hill and turns around and walks clown.
After meeting the dog part way, he continues walking to the bottom of the hill. The dog follows him without
going to the top of the hill. (1} Once both are at the bottom ofthe hill, in total how far have Tom and the dog walked rm" km
(ii) How far from the base did Torn meet up with his dog? kin ll Lin and Down in Nottingham ﬁlls: Two cyclists rode their bicycles once up and dovm a hill. They averaged 20
ionfhr on the way up and 40 kin/hr on the way down. the average speed for the entire trip = WW H_m knifhr
Incredible Hulk Cats: if three cats catch three mice in three minutes, how many cats would be needed to catch
100 mice in 50 minutes? (Hint these second generation gene~altered cats have a huge appetite) Number cats required 2 Tough Life of a Race Car Driver: A race car driver has figured out so long as he can travel at lSOlcm/hr in the
entire nine lap race, he can win. Because of an engine trouble, the driver was able to travel the ﬁrst three laps at
an average speed of only 901(nr/hr. Well, if he has to still win. what average speed should he be traveling during
the next six laps to win the race? Average Speed in the last three laps = ‘ _ kin/hr Lotus Pond in Sizerrgri Let: A lotus pond in a land trucked away in the Himalayas was 400 ft in diameter and on
July 4, 2007 at 00:00 hrs (military time} the pond was completely with ﬁlled lotus tloWers, each with 8” in dia.
The inhahitauts of this wonderful land say the lotus flowers quadruple in numher evety' thirty days; (i) Date that the pond was 80% full:
Year“ Month . N Day Hour (ii) How many days earlier did the pond had just one ﬂower: Days Hooray m Obmipimz Michael Phelps: Phelps ﬁgured out that in the 4x100m breaststroke relay competition the
average speed should be at least 6.851011%: for the entire relay to break the existing world record. The ﬁrst three
contestants completed their 100m stretch in 53.2, 52.5 and 52.6 secs. What should be the speed of the last
contestant Phelps to stiil make the record? I Average Speed of Olympian Phelps = __ kin/hr Olympian Phelps’ time should be at least = sees The above assignment was designed as evidence to satisfy some of the ABET Requirements: EX. Criteria 3
{a} and 3(a), and other general concepts, (a) an ability to apply knowledge of mathematics, science, and engineering;
(e) an ability to identify, formulate, and solve engineering problems; (0) an ability to discriminate and logically apply the concepts that have relevance in day to
day life; ...
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