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### CEE111_Design_Exercise_6

Course: CIVIL ENGI CEE111, Winter 2012
School: UC Irvine
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Word Count: 424

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111 CEE Design Exercise 6 Winter 2012 Due March 19, 2012 Work independently!!! Consider the reinforced concrete beam shown below: b 50 ft P = 6K d 100 ft 2.5 in As Beam Cross-Section The beam is to be designed to resist a maximum moment of M D 300 K-ft at least cost. For simplicity, total cost can be considered to be only the material cost of the concrete and the steel reinforcing bars. The reinforcing bars...

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111 CEE Design Exercise 6 Winter 2012 Due March 19, 2012 Work independently!!! Consider the reinforced concrete beam shown below: b 50 ft P = 6K d 100 ft 2.5 in As Beam Cross-Section The beam is to be designed to resist a maximum moment of M D 300 K-ft at least cost. For simplicity, total cost can be considered to be only the material cost of the concrete and the steel reinforcing bars. The reinforcing bars are to be made of A615 Grade 60 steel at \$500/ton (\$0.85/ft2 per foot of beam) and 4,000 psi normal weight concrete at \$25/yd3 (\$0.93/ft2 per foot of beam). Let b = the beam width in inches, d = depth of the beam to the centroid of reinforcing steel, and AS = the total cross-sectional area of reinforcing steel. Based on these values, the total cost of the beam is given by: d 2.5 b C \$85 AS \$95 12 12 The resisting moment of the beam, M R , AS f y M R AS f y d 1.7 fCb where a strength reduction factor that reduces the theoretical strength of the beam to account for minor adverse field conditions, equal to 0.90 for bending. f y yield strength of steel reinforcement (60,000 psi) fC compressive strength of concrete (4,000 psi) must be greater than or equal to the maximum moment of M D 300 K-ft , or, converting to kip-ft and simplifying, 4.5 AS d 39.706 ( ) AS 2 300 b The design is constrained to meet the American Concrete Institute (ACI) code requirements that: 1. Minimum amount of steel reinforcement to ensure that the beam is stronger when acting as a reinforced beam than when acting as a plain concrete section (utilizing the strength of concrete in tension), avoiding the possible sudden failure of a plain concrete section. This limit is given by: AS 0.00333 bd 2. Alternatively, the steel reinforcement must be less than that which would cause sudden compressive failure of the concrete at the top of the beam, rather than a slow excessive deflection caused by the failure of the steel. This limit is given by: AS 0.0214 bd 3. In order to protect against buckling, there is a minimum ration of the depth to width of the beam. This limit is given by: b1 d3 Design Exercise: 1. UsingExcelSolverroutines,determinetheoptimaldesignofthereinforced concretebeamundertheconditionsspecified. 2. FormulatetheLagrangianforthisproblemandsolvetheresultingsystemof nonlinearequationsusingtheNewtonRaphsonalgorithm.Compareyour resultswiththoseobtainedusingExcelSolver Submission should be in Report format with complete problem formulation, solution, and documentation (e.g., printouts of Excel spreadsheets containing formulations and answers obtained.
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UC Irvine - CIVIL ENGI - CEE111
SOLUTIONCEE 111 Midterm ExamWinter 2010February 17, 2010Closed Book, Closed NotesInstructions: Answer all questions in the space provided. Show all work. Justify youranswers.Problem 1. (20 total points)A city is growing in population and the publi
UC Irvine - CIVIL ENGI - CEE111
Name_Student Number _CEE 111 Winter 2010Quiz 1 SolutionGrading:Totalof10points.Consider the following linear programming problem:05pts:Identifiedpivotrowandcolumncorrectly.Maximize Z 140 x1 160 x2subject to:58pts:Identifiedpivotrowandcolumncorr
UC Irvine - CIVIL ENGI - CEE111
Name_Student Number _CEE 111 Winter 2010Quiz 2 SolutionGrading:Totalof10PointsConsider the following linear programming problem:Minimize Z 3x1 2 x2 5 x3 x4subject to:x1 3 x2 5 x4 104 x1 2 x2 x3 2 x4 43x1 x2 3 x3 62 x1 2 x2 x3 4 x4 53x1 2 x2 2
UC Irvine - CIVIL ENGI - CEE111
Grading:Totalof10PointsCEE 111 Winter 2010Quiz 3Quiz 3 SolutionA community plans to turn a tract of land comprising X x 106 acre-ft into an Irrigation District toproduce cash crops. The proposed Irrigation District is located downstream of two rivers
UC Irvine - CIVIL ENGI - CEE111
Name_Student Number _CEE 111 Winter 2010Quiz 4Grading:Totalof10PointsSolutionConsider the following binary programming problem:Maximize Z 10 x0 20 x1 30 x2 20 x3 10 x4 10 x5subject to:x0 x1 1x1 x2 x3 1x2 x3 x4 1x3 x4 x5 1x4 x5 17.5 x0 10 x1
UC Irvine - CIVIL ENGI - CEE111
UC Irvine - CIVIL ENGI - CEE111
UC Irvine - CIVIL ENGI - CEE111
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UC Irvine - CIVIL ENGI - CEE111
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UC Irvine - CIVIL ENGI - CEE111
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UC Irvine - CIVIL ENGI - CEE111
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UC Irvine - CIVIL ENGI - CEE111
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UC Irvine - CIVIL ENGI - CEE111
METHODS IV: SYSTEMS ANALYSIS AND DECISION MAKING Allahviranloo,Winter,2012CEE111: METHODS IV: SYSTEMS ANALYSIS AND DECISION MAKINGLab sessions instructor: Mahdieh Allahviranloo, Winter 2011.1Session 1:Linear problem optimization and examplesLinear p
UC Irvine - CIVIL ENGI - CEE111
CEE 155CEE 155Structural Steel DesignSteel DesignInstructor:Dr. Farzin ZareianDr. Farzin Zareian11Course outlineCourse units: 4 unitsPrerequisites: CEE 151This means you know probability and statistics, statics, strength ofThis means you know
UC Irvine - CIVIL ENGI - CEE111
CEE 150CEE 150Mechanics of Materialsof MaterialsInstructor:Dr. Farzin ZareianDr. Farzin Zareian11Course outlineCourse units: 4 unitsPrerequisites: CEE 30 or ENGR 30, or MAE 30 (Statics)Text Book:Hibbeler, Mechanics of Materials, PEARSON (Pren
Rutgers - MKT - 363
Topic1:Introduction, History of AdvertisingI believe it is important to understand advertising in an evolutionary perspective so as toappreciate the reasons for advertisings use in a modern industrialized society.Advertising was spawned by a market-dri
Rutgers - MKT - 363
Topic 2: Advertising and SocietyThese are notes from a lecture given by Professor Hershey Friedman that I haveborrowed for this topic.The following are a list of criticisms of advertising that you may have even voicedyourself. I will play devils advoc
Rutgers - MKT - 363
Topic 3: Direct MarketingDefinition and What it includesGeneral advertising is controlled, identifiable information and persuasions by means ofmass communication media.controlled because the advertiser decides the content, timing and direction of the
Rutgers - MKT - 363
Advertising and Direct MarketingTopic 4 - Ethics in AdvertisingAdvertising has tremendous power as providing silent information as to how we shouldinteract and present ourselves. The messages help consumers see the possibilities andmeanings in the thi
Rutgers - MKT - 363
Topic 5 Objectives of Advertising; Product Life CycleThe Objectives of AdvertisingWhat is advertising? It is a business, an art, an institution, and a cultural phenomenon.The general publics attitude toward advertising is ambivalent in that they like t
Rutgers - MKT - 363
Topic 6 Target MarketingThere is a marketing revolution in progress today as the environment continues to changewith new technologies and the availability of data to assist marketers in focusing on atarget audience.Todays marketing concept considers t
Rutgers - MKT - 363
Topic 7 The Business of AdvertisingAdvertising is an enormous global business with expenditures in the billions. Theseexpenditures in the areas of media placement, promotions and productions, are growingat approximately 6% a year. Although network tele
Rutgers - MKT - 363
Advertising and Direct MarketingTopic 8BMedia Buying and PlanningMarketers are seeking measurable results for every marketing communication dollarthey spend. Through the use of marketing research organizations, marketers have accessto detailed informa
Rutgers - MKT - 363
Topic 9:Using TelevisionThe word advertising has become synonymous with television and it is clear why thathas occurred. First of all, the medium of television allows for the fullest creativeexpressions with its multisensory stimulation (sight, sound,
Rutgers - MKT - 363
Advertising and Direct MarketingTopic10: Using RadioRadio plays an integral role in the media plans of advertisers who invest billions in mediaplacement.There are several options for reaching target audiences. A split of national and local is anobvio
Rutgers - MKT - 363
Topic11: Using PrintNewspapers, Magazines and Out-of-Home AdvertisingNewspaper is the medium most accessible to the widest range of advertisers due to thelow actual cost as well as the geographic specificity. Yearly investments for placementare over \$
Rutgers - MKT - 363
Topic 12: Print, Radio and Television ProductionTelevision ProductionAs with other media, the creative responsibility for television is communication.Television poses specific challenges due to the complexity of production as well as thenumber of peop
Rutgers - MKT - 363
Topic 13 Creating the Copy; Art DirectionThe Big Idea is the creative concept behind an ad that attracts attention and creates adistinctive impression for the brand in the mind of the receivers. It has been described asthat flash of insight that synthe
Rutgers - MKT - 363
Topic 14 Advertising Research; The Complete Ad CampaignThrough research an advertiser can better understand what will be useful in anadvertisement and increase the probability of making good choices. Marketing researchis defined as the systematic gathe
Rutgers - ECON - 322
Consumer BehaviorIntroductionConsumer Behavior is an interdisciplinary field that incorporates the theories found inpsychology, sociology, and communication.Consumer Behavior as a college course is far more theoretical than a marketing courseas marke
Rutgers - ECON - 322
Consumer Behavior Topic 2Economic Models: Consumer Behavior Models; Need Recognition, Search, Pre-purchaseAlternative Evaluation, Purchase, Consumption, OutcomesYou personal involvement in the product, service or candidate will impact how you buy,orde
Rutgers - ECON - 322
Consumer Behavior Topic 3MotivationSection IAs per lecture on 2/19/08 notes to be added later.Section IIAdvertising plays into motives. Some motives lead the consumer towards a goal (vs. anegative goal). A manifest motive is known and freely identif
Rutgers - ECON - 322
Consumer Behavior Topic 4Personality, Self-Image and LifestylePersonality Traits:External place blame outside of self (i.e., I failed because there was a problem with theexam)Internal place blame on self (i.e., I failed because I did not study)Most
Rutgers - ECON - 322
Consumer Behavior Topic 5Information Processing and PerceptionAttention the allocation of processing capacity to a stimulus that is, allocating a partof your brain, your ability to process, to something.This is determined by:a. personal determinants
Rutgers - ECON - 322
Consumer Behavior Topic 6Learning Theory, Involvement Theory and Brand LoyaltyWe speak of learning theory as the process by which experience leads to change inknowledge attitudes, and/or behavior1. Cognitive approach to learning maintains that learnin
Rutgers - ECON - 322
Consumer Behavior Topic 7Attitudes and Attitude FormationA learned predisposition to behave in a consistently favorable or unfavorable way withrespect to a given objective.a. an attitude has an object (i.e., how you feel about a professor, a subject,
Rutgers - ECON - 322
Consumer Behavior Topic 8Attitude ChangeAttitude change strategies:a. change consumers basic motivational functionmotivational function of attitude:1. utilitarian function2. ego defenses3. value expressive4. knowledge5. social adjustmentb. assoc
Rutgers - ECON - 322
Consumer Behavior Topic 9Communication and Persuasion: Behavior Modification TechniquesCommunication Theory how to persuade people. A great deal of research wasconducted during World War II as the government studied how to create effectivepropaganda.
Rutgers - ECON - 322
Consumer Behavior Topic 10Personal Influence: Reference Group and Opinion LeadershipReference Groups use other people as a frame of reference.Primary groups are intimate, face-to-face such as family and peer groups. Informalprimary groups include fami
Rutgers - ECON - 322
Consumer Behavior Topic 11Family Influence; Organizational Decision MakingCollective decision making refers to decisions made by one person for numerousindividuals who are part of a group one of such groups is that of the family. Of course,we think of
Rutgers - ECON - 322
Topic 14Global ConsiderationsWhen manufacturers enter a new ethnic market, they must understand this market astraditions and values vary per culture. For example, bringing wine to a Moslemhousehold would be insulting as this religious subculture does
Rutgers - ECON - 322
Consumer Behavior Topic 15Midterm Study Guide (if there is a midterm)key terms:DemographicsPsychographicsBeliefs, values, fears RISKSMotives and MotivationPrice Quality RelationshipsVariables that effect consumers and their decisionsThe search fo
Rutgers - STAT - 285
Decision makers make better decisions when they use all available information in aneffective and meaningful way. The primary role of statistics is to to provide decisionmakers with methods for obtaining and analyzing information to help make thesedecis
Rutgers - STAT - 285
The problem most decision makers must resolve is how to deal with the uncertainty thatis inherent in almost all aspects of their jobs. Raw data provide little, if any, informationto the decision makers. Thus, they need a means of converting the raw data
Rutgers - STAT - 285
The purpose of this lecture is to help you to understand conceptually the meanings ofmeasures of locations (i.e., mean, median, and mode) and measures of variability (i.e.,range, variance, standard deviation, and coefficient of variation).Measures of L
Rutgers - STAT - 285
How is the lottery in Georgia set up so that it will make revenue for the state? Is thereany way the state could lose money on a game? Probability theory provides a way tofind and express our uncertainty in making decisions about a population from sampl
Rutgers - STAT - 285
In lecture number two, we said a Random Variable is a quantity resulting from arandom experiment that, by chance, can assume different values. Such as, number ofdefective light bulbs produced during a week. Also, we said a Discrete RandomVariable is a
Rutgers - STAT - 285
In lecture number four we said that a continuous random variable is a variable whichcan take on any value over a given interval. Continuous variables are measured, notcounted. Items such as height, weight and time are continuous and can take onfraction
Rutgers - STAT - 285
You may recall from lecture one that there are several good reasons for taking asample instead of conducting a census, for example, to save time, money, etc. Also, inthe same lecture we said that if a researcher is using data gathered on a group to reac
Rutgers - STAT - 285
The Students t DistributionWhat do we do if (a) we dont know and (b) n is small? If the population ofinterest is normally distributed, we can use the Students t-distribution in place ofthe standard normal distribution.William S. Gossett who developed
Rutgers - STAT - 285
Two-Sample Z-TestsIf the samples are large, random, and independent, then is a random variable andhas approximately a normal distribution, withSo,However, since H0 is usually 1 = 2 , then 1 2 =0 and:for 1, 2 knownfor 1, 2 unknownZ = if n1 + n2 32F
Rutgers - STAT - 285
Scatter Plots, Correlation, and RegressionOne way to see whether two variables are related is to graph them. Forinstance, a researcher wishes to determine whether there is a relationshipbetween grades and height. A scatter plot will help us see whether
Rutgers - STAT - 285
Z TestsTwo-Tail Tests: With a two tail test, the error is split into two with /2 goinginto each tail.EXAMPLE:A manufacturer produces bolts with a thickness of exactly 1inch (purportedly). Acustomer takes a random sample of 100 bolts and find that =1.
Rutgers - STAT - 211
A One-Way Analysis of Variance is a way to test the equality of three or more means at one timeby using variances.AssumptionsThe populations from which the samples were obtained must be normally orapproximately normally distributed.The samples must b
Rutgers - STAT - 211
Any Normal DistributionBell-shapedSymmetric about meanContinuousNever touches the x-axisTotal area under curve is 1.00Approximately 68% lies within 1 standard deviation of the mean, 95% within 2 standarddeviations, and 99.7% within 3 standard devia
Rutgers - STAT - 211
Recall that according to the Central Limit Theorem, the sample mean of any distribution willbecome approximately normal if the sample size is sufficiently large.It turns out that the binomial distribution can be approximated using the normal distributio
Rutgers - STAT - 211
Conditional ProbabilityRecall that the probability of an event occurring given that another event has already occurred iscalled a conditional probability.The probability that event B occurs, given that event A has already occurred isP(B|A) = P(A and B
Rutgers - STAT - 211
Sum of SquaresWe introduced a notation earlier in the course called the sum of squares. This notation was the SSnotation, and will make these formulas much easier to work with.Notice these are all the same pattern,SS(x) could be written asAlso note t
Rutgers - STAT - 211
Raw DataData collected in original form.FrequencyThe number of times a certain value or class of values occurs.Frequency DistributionThe organization of raw data in table form with classes and frequencies.Categorical Frequency DistributionA frequen
Rutgers - STAT - 211
Fundamental TheoremsArithmeticEvery integer greater than one is either prime or can be expressed as an unique product of primenumbersAlgebraEvery polynomial function on one variable of degree n &gt; 0 has at least one real or complex zero.Linear Progra
Rutgers - STAT - 211
The term &quot;Average&quot; is vagueAverage could mean one of four things. The arithmetic mean, the median, midrange, or mode.For this reason, it is better to specify which average you're talking about.MeanThis is what people usually intend when they say &quot;aver