# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

2 Pages

### Quiz-Fall2010-1_2

Course: EML 4507, Fall 2010
School: University of Florida
Rating:

Word Count: 258

#### Document Preview

4507 EML Fall 2010 Quiz 1-2 If you want, write your name in the back. Solution Problem 3: Matrix A given by [A]=8442 and the eigen values of [A] are: 0 and 10. Determine if it is: (a) positive-definite; or (b) Positive semi definite; or (c) Negative definite. Solution Since the eigne values are greater than or equal to zero (0), matrix A is positive semi definite. Illustration The quadratic form f=xy8442xy can...

Register Now

#### Unformatted Document Excerpt

Coursehero >> Florida >> University of Florida >> EML 4507

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
4507 EML Fall 2010 Quiz 1-2 If you want, write your name in the back. Solution Problem 3: Matrix A given by [A]=8442 and the eigen values of [A] are: 0 and 10. Determine if it is: (a) positive-definite; or (b) Positive semi definite; or (c) Negative definite. Solution Since the eigne values are greater than or equal to zero (0), matrix A is positive semi definite. Illustration The quadratic form f=xy8442xy can be expanded as f=22x+y2. Then one can see f=0 for all 2x+y=0 or y=-2x. Thus, f=0 for combinations other than x=y=0. However, f >0 is always satisfied, because it is a perfect square. I1=7, I2=5+3+3=11, I3=5 Hence, the cubic equation for principal stresses is: 3-I12+I2-I3=0 or 3-72+11-5=0 -5-1-1=0 Problem 2: is It determined that n=5 is one of the principal stresses for the state of stress in Problem 1. (i) Write the three linear equations you will use to determine the corresponding principal direction. Problem 1: Derive the (cubic) characteristic equation for determining the principal stresses of the stress matrix shown below. Do NOT solve the equation. (ii) Solve the above equations to determine the principal direction. If there are multiple principal directions for n=5, then show them in a parametric form. Solution (3-5)-20-2(3-5)000(1-5)nxnynz=000 The first two equations are the same: -2nx-2ny=0nx=-ny The last equation yields nz=0 Solution Calculate the invariants: Then the principal direction is given by 121,-1,0
Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

University of Florida - EML - 4507
EML 4507 Fall 2010Quiz 1-3If you want, write your name in the back.SolutionProblem 3: Consider a function f(x,y)fx,y=12xy[A]xy-xy40 whereA=9443 . The eigen values of [A] are 1 and 11.It is found that the function is extremum at(x,y)=(0,1). Determi
University of Florida - EML - 4507
University of Florida - EML - 4507
40400.10.10.10.090.080.070.060.050.030.020-0.02-0.03-0.05-0.06-0.07-0.08-0.09-0.1-0.1-0.1-0.1-0.1-0.09-0.08-0.07-0.06-0.05-0.03-0.0200.020.030.050.060.070.080.090.10.100.020.030.050.060.070.080.090.10.10
University of Florida - EML - 4507
EML 4507 Fall 2010Quiz 2-v1Solution 1 1 0 0 u1 F1 1 2 1 0 u 1000 5 2 = 10 0 1 3 2 u3 0 0 0 2 2 u4 F4 1000 N1m1m1mA stepped bar is clamped at both ends. A force of1000 N is applied as shown in the figure.Areas of cross sections of the two
University of Florida - EML - 4507
EML 4507 Fall 2010Quiz 2-v2Solution 1 1 0 0 u1 F1 1 3 2 0 u 0 5 2 = 10 0 2 4 2 u3 2000 0 0 2 2 u4 F4 2000 N1m1m1mA stepped bar is clamped at both ends. A force of2000 N is applied as shown in the figure.Delete the rows corresponding to u
University of Florida - EML - 4507
EML 4507 Fall 2010Quiz 2-v3Solution 1 1 0 0 u1 F1 1 3 2 0 u 0 6 2 = 10 0 2 4 2 u3 +10, 000 0 0 2 2 u4 F4 10 kN1m1m1mA stepped bar is clamped at both ends. A force of10,000 N is applied as shown in the figure.Delete the rows corresponding
University of Florida - EML - 4507
EML 4507 Fall 2010Quiz 5-v1SolutionThe coordinate of the nodes and correspondingdisplacements in a triangular element are givenin the table.1. Calculate the displacements u and v andstrains xx, yy, and xy at the centroid ofthe element given by the
University of Florida - EML - 4507
EML 4507Fall 2010Exam 1-1Write only on the front side. If you want, write yourname in the back. All problems carry equal pointsProblem 1: The state of stress at a point is given by200400[]SolutionProblem 2: The state of stress at a point is giv
University of Florida - EML - 4507
EML 4507Fall 2010Exam 1-2Write only on the front side. If you want, write yourname in the back. All problems carry equal pointsProblem 1: The state of stress at a point is given by400400[]Problem 2: The state of stress at a point is given by:0
University of Florida - EML - 4507
EML 4507Fall 2010Exam1-3Write only on the front side. If you want, write yourname in the back. All problems carry equal pointsProblem 1: The state of stress at a point is given byProblem 2: The state of stress at a point is given by:1000 2 0 MPa0
University of Florida - EML - 4507
tiff1.mfunction [k]=stiff1(L,ll,aa)k1=zeros(2);l=ll(1);m=ll(2);A=aa(1);E=aa(2);k1(1,1)=l*l;k1(1,2)=l*m;k1(2,1)=l*m;k1(2,2)=m*m;k=[k1,-k1;-k1,k1];k=(A*E/L)*k;
University of Florida - EML - 4507
% stiff2.m used with truss3d.mfunction [k]=stiff2(L,ll,aa)k1=zeros(3);l=ll(1);m=ll(2);n=ll(3);A=aa(1);E=aa(2);k1(1,1)=l*l;k1(1,2)=l*m;k1(1,3)=l*n;k1(2,1)=l*m;k1(2,2)=m*m;k1(2,3)=m*n;k1(3,1)=l*n;k1(3,2)=m*n;k1(3,3)=n*n;k=[k1,-k1;-k1,k1];k
University of Florida - EML - 4507
function [k]=stiff2f(L,ll,aa)kb=zeros(6);l=ll(1);m=ll(2);EA=aa(1)*aa(2);EI=aa(1)*aa(3);kb(1,1)=EA/L;kb(1,4)=-kb(1,1);kb(4,4)=kb(1,1);kb(2,2)=EI*12/L^3;kb(2,3)=6*EI/L^2;kb(2,5)=-kb(2,2);kb(2,6)=kb(2,3);kb(3,3)=4*EI/L;kb(3,5)=-kb(2,6);kb(3,6)
University of Florida - EML - 4507
EXAMPLE: CREATING A MODEL OF AN OVERHEAD HOIST WITH ABAQUS/CAEThe instructions for the examples discussed in this manual will focus on using the Model Tree toaccess the functionality of ABAQUS/CAE. Menu bar actions will be considered only when necessary
University of Florida - EML - 4507
User Manual for truss2d.m, Professor B.V. Sankar, University of Florida, GainesvilleThe program truss2d.m reads data from truss2d_data.xls. It also needs the subroutine stiff1.m. Thesethree files should be in one folder. The output is written to the tex
University of Florida - EML - 4507
%truss2d.m reads data from an Excel file called 'truss2d_data.xls'% Worksheets in the xls file have the same name same as the data read clear all% The output is written to the file output.txtfid = fopen('output.m','w');Nodes=xlsread('truss2d_data','N
University of Florida - EML - 4507
3201100-101001012231.00E-04 1.00E+111.00E-04 1.00E+11010000020000
University of Florida - EML - 4507
%truss3d.m reads data from an Excel file called 'truss3d_data.xls'% Worksheets in the xls file have the same name same as the data read clear all% The output is written to the file output.txtfid = fopen('output.m','w');Nodes=xlsread('truss3d_data','N
University of Florida - EML - 4507
8181100110001100110111100001111001111110111111100001234567812341524132341678556783775681.00E-041.00E-041.00E-041.00E-041.00E-041.00E-041.00E-041.00E-041.00E-041
University of Florida - EGM - 6365
Constrained Optimization5Most problems in structural optimization must be formulated as constrained minimization problems. In a typical structural design problem the objective functionis a fairly simple function of the design variables (e.g., weight),
University of Florida - EGM - 6365
Chapter 5: Constrained Optimization5.5 Gradient Projection and Reduced Gradient MethodsRosens gradient projection method is based on projecting the search direction intothe subspace tangent to the active constraints. Let us rst examine the method fort
University of Florida - EGM - 6365
Educational articleStruct Multidisc Optim 21, 120127 Springer-Verlag 2001A 99 line topology optimization code written in MatlabO. SigmundAbstract The paper presents a compact Matlab implementation of a topology optimization code for compliance minimiz
University of Florida - EGM - 6365
University of Florida - EGM - 6365
EGM6365 Homework #21. Consider the following design optimization problem:Minimize2f (x) = x12 + x2 4 x1 + 4Subject tog1 (x) = x1 0g 2 ( x) = x2 0g3 (x) = x2 (1 x1 )3 0(i)(ii)Find the optimum point graphicallyShow that the optimum point does no
University of Florida - EGM - 6365
EGM6365 Homework #31. A linear programming problem is given asMaximizef = 2 x1 + 5 x2Subject to3 x1 + 2 x2 122 x1 + 3x2 6(1)x1 0, x2 unrestricted(i)(ii)Solve Eq. (1) using MATLAB.Convert Eq. (1) into the standard form and solve the standards p
University of Florida - EGM - 6365
EGM6365 Homework#41. Make a Matlab script to solve the following unconstrained optimization problem usinga Newton method.Minimizef ( x) = 1 + 2( x + 1)2 x 3 + e xUse the initial point x = 6 and -6. The iteration should stop when the function gradient
University of Florida - EGM - 6365
EGM6365 Homework #11. A beer can is supposed to hold at least specific amount of beer and meet other designrequirements. The can will be produced in billions, so it is desirable to minimize the costof manufacturing them. Since the cost can be related d
University of Florida - EGM - 6365
EGM6365 Homework #21. Consider the following design optimization problem:Minimize2f (x) = x12 + x2 4 x1 + 4Subject tog1 (x) = x1 0g 2 ( x) = x2 0g3 (x) = x2 (1 x1 )3 0(i)(ii)Find the optimum point graphicallyShow that the optimum point does no
University of Florida - EGM - 6365
EGM6365 Homework #31. A linear programming problem is given asMaximizef = 2 x1 + 5 x2Subject to3 x1 + 2 x2 122 x1 + 3x2 6(1)x1 0, x2 unrestricted(i)(ii)Solve Eq. (1) using MATLAB.Convert Eq. (1) into the standard form and solve the standards p
University of Florida - EGM - 6365
EGM6365 Homework#41. Make a Matlab script to solve the following unconstrained optimization problem usinga Newton method.Minimizef ( x) = 1 + 2( x + 1)2 x 3 + e xUse the initial point x = 6 and -6. The iteration should stop when the function gradient
University of Florida - EGM - 6365
EGM6365 Homework #51. Find the optimum solution of the following constrained problemMinimize222f = x12 + x2 + 2 x3 x4 5 x1 5 x2 21x3 + 7 x4 + 100Subject to222g1 = x12 + x2 + x3 + x4 + x1 x2 + x3 x4 8 0222g 2 = x12 + 2 x2 + x3 + 2 x4 x1 x4 1
University of Florida - EGM - 6365
EGM6365 Project #1 Optimization of Space StructureA space frame structure as shown in the figure consists of 25 truss members. Initially, allmembers have the same circular cross-sections with diameter d = 2.0 in. At nodes 1 and 2,a constant force F = 6
DeVry Chicago O'Hare - LAW - 31
December 11, 2009To My Students-to-Be,My name is Diane Scrofano, and I am your professor for CRN 31196, English M01AOnline, Spring 2010. This is an accelerated, 8-week course, taking place fromJanuary 11 to March 5, 2010 .Before I go into the formali
Riverside Community College - ACCOUNTING - 1b
Use the following selected account balances from the financial statements of theWashington Company to answer Questions 68 and 69:Accounts Receivable, Jan. 1 \$13,000Accounts Receivable, Dec. 31 9,000Accounts Payable, Jan 1 4,000Accounts payable Dec. 3
AN ACTORS WORK NOTESIntroductionThe dog always knew when rehearsal was about to end, because the actors started talkinglike regular people. The difference between the fake and the living is as sharp as Pavlovsbell.Stanislavskis absolute priority was
AN ACTORS WORK NOTESChapter Four ImaginationThe actors task is to transform the story of the play into theatrical fact. (60)Imagination creates what is, what exists, what we know, but fantasy creates what isntwhat we dont know, what never was and neve
AN ACTORS WORK NOTES(Chapters 7-9)Chapter 7 Bits and TasksA play much like a turkey cannot be taken in one go. You must cut it down intosmaller pieces in order to better understand, interpret and portray. (136)The actor must go by the larger, most im
Professor PassaroThe Tragic Vision26 January 2010TragedyThe definition of the term Tragedy as it relates to dramaturgy and literature isone that has changed throughout the history of man. When looking for a classicaldefinition, most refer to Aristot
The Tragic VisionProfessor V. PassaroThe Post-Vietnam War FilmThe Tragic Vision and by extension, its curriculum - has lead me to watch and read a variety of filmsand novels set in the 1960s and 70s. These years were undeniably a time riddled with par
Theatre History IIProfessor Brian RoseTragedy: Poor, Misunderstood Tragedy.Oedipus. The mere mention of the name brings up all manner of conversation aboutpsychology ala Freud, about the nature of human existence, and makes one ask; what isthat bring
Intro. To SociologyProfessor Karmen8 March 2010Sociology Take Home EssayChapter 2 The AmishThe Amish are distinguishable from mainstream society - a subculture - in many ways. First and most obviously the small villages and towns in which they live
Sociology 101Professor KarmenQuestions Surround a Delay in Help for a Dying Man1) Publication: The New York TimesDate Published: April 26th, 2010Page Number: A202) What were the main themes?According to police reports, a homeless man lay either dea
Sociology 101Prof. KarmenSocial Mobility in the United States (Myth vs. Fact)In order to discern what is true or untrue about the concept of Social Mobility, one mustfirst define the term. According to the Seeing Sociology textbook, social mobility is
Sociology 101Professor KarmenAfter Long Decline, Teenage Pregnancy Rate Rises1) Publication: The New York Times.Date Published: January 26th, 2010Page Number: A142) What were the main themes?After decades of declining pregnancy rates, there has bee
History of TheatreProf. Brian Rose29 December 2010Commedia Dell Arte &amp; The BardShakespeare is without a doubt one of the most famous men of all time. His works have beentranslated into every currently living language, and are commonly used for litera
Playwrights-Hrosvita of Gandershine began writing plays around 1000, and is famously thefirst renowned female playwright, she took Seneca and thus her plays were awful.Shakespeare and Marlowe were both born in 1564.First theatre-only stage ever built
Environment and PoliticsProf. R. Axelrod9 October 2010Fresh Water Availability: Comparing the United States and ChinaIts a bit unorthodox to start a paper with a quote, but this one says it all: Water,water, everywhere, but not a drop to drink. This
Environment and PoliticsProf. Karmen29 November 2010NGO: Renewable Energy Long IslandThe local NGO known as RELI is a non-profit organization in favor of theestablishment and protection of all alternative energy sources. Their goal is to open upas m
Joshua MintonIEPProfessor AxelrodNon-Legally Binding Treaty on All Types of ForestsQuickTime and adecompressorare needed to see this picture.The world today is dangerous- more so than wecould possibly imagine, or even care to admit. Itsnot as if
Critical Thinking: Analysis of Everyday ThoughtProf. MattickPlanned Parenthood Editorial AnalysisSimplifying the Argument:Gail Collins obscures the main point of opposition to federal funding for plannedparenthood by stating that doctrinaire (in her
The Analysis of Arguments in Everyday ThoughtProf. Paul MattickJohn Arquilla and Fogelson-Lubliner are right that the Pentagon budget needs to becut for the health and safety of this nation. Spending \$700 billion a year on defense whilecutting program
What is an Argument?1) What is an argument, as we have been using the term in this course? What arethe two main kinds of argument?An argument, as per the course, is a series of premises stated in a (hopefully) logicalorder that leads to a conclusive s
University of Phoenix - HEALTH ADM - HCA 250
Axia College MaterialAppendix CStress, Health, and Everything in BetweenAs you complete this appendix, you will investigate a few factors that affect how stress influencesindividuals health.Read both case studies and answer the following questions:C
University of Phoenix - COMM 102 - 102 week 2
I think that the writer did a great job persuading me on his topic; he explained how he is againstphysician- assisted suicide. I like the fact the he uses his own personal story to explain why he thinks thatit is better to pass away on a persons own ins
University of Phoenix - ACC/230 - ACC/230
Running head: CHECKPOINT: FINANCIAL MANAGEMENT GOALS1Checkpoint: Financial Management Goals Nikki Vergets Fin/200 3/31/2011 John SimulcikCHECKPOINT: FINANCIAL MANAGEMENT GOALS Checkpoint: Financial Management Goals A very important part of a corporatio
University of Phoenix - ETH 125 - ETH 125
Running head: ASSIGNMENT: HISPANIC AMERICAN DIVERSITYAssignment: Hispanic American DiversityNikki VergetsEth/1255/15/2011Cornelius Brownlee1ASSIGNMENT: HISPANIC AMERICANDIVERSITY2Assignment: Hispanic American DiversityThere is a vast amount of
University of Phoenix - ACC 220 - ACC 220
Running head: ASSIGNMENT: LOAN SCENARIOS1Assignment: Loan Scenarios Nikki Vergets FIN/200 5/15/2011 John SimulcikASSIGNMENT: LOAN SCENARIOS Assignment: Loan Scenarios Gordon Co. is negotiating a loan from Manhattan Bank and Trust. The small chemical co
University of Phoenix - ACC 220 - ACC 220
Running head: CHECKPOINT: LONG-TERM AND SHORT-TERM FINANCINGCheckpoint: Long-Term and Short-term FinancingNikki VergetsFin/2004/28/2011John Simulcik1CHECKPOINT: LONG-TERM AND SHORTTERM FINANCING2Checkpoint: Long-Term and Short-term FinancingLong
University of Phoenix - ETH 125 - ETH 125
CHECKPOINT: MODERN CHALLENGES IN IMMIGRATIONCheckpoint: Modern Challenges in ImmigrationNikki VergetsEth/1254/14/2011Cornelius Brownlee1CHECKPOINT: MODERN CHALLENGESIN IMMIGRATION2Checkpoint: Modern Challenges in ImmigrationShould United States
University of Phoenix - ETH 125 - ETH 125
Running head: ASSIGNMENT: ETHNIC GROUPS AND DISCRIMINATIONAssignment: Ethnic Groups and DiscriminationNikki VergetsEth/1254/17/2011Cornelius Brownlee1ASSIGNMENT: ETHNIC GROUPS ANDDISCRIMINATION2Assignment: Ethnic Groups and DiscriminationOne of
University of Phoenix - FIN 200 - fin200
Running head: CHECKPOINT: TIME VALUE OF MONEYCheck Point: Time Value of MoneyNikki VergetsFin/2005/19/2011John Simulcik1CHECKPOINT: TIME VALUE OF MONEY2Check Point: Time Value of MoneyThere are four different concepts for time value money presen