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.

- Midterm Solution
1
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 1
The horizontal bar of weight W is supported by a roller support at A and the cable BC. Apply rigorous analysis of equilibrium to determine the angle , the tension in the cable, and the magnitude of the reaction at A. (The answer may be intuitively obvious, but prove it using basic principles) Free body diagram and equations of equilibrium Ay T
M ( B) Fx Fy
LAy T cos Ay W
W L W 0 2 0 (*)
T sin W 2
Ay
W 2 W (**) 2
T sin
0
T sin
From (*) either T=0 or cos =0 If T=0 then (**) cannot be satisfied If cos =0 then =/2 and T=W/2
MAE 101. Statics and Strength of Materials G. E. Orient 2006
2
Problem 2
The Pratt bridge truss supports loads at F, G, and H. Determine the axial forces in members BC, BG, and FG. l=4m, F1=60 kN, F2=80 kN, F3=20 kN Global FBD, Equilibrium =45o l
Ay
Ax F1
M ( A) Fy Ay Fx Ax F1l F1 0
Ey l F2
F2 2l F2 F3 Ax F3 3l Ey 0
F1 l
F2 l
F3
l
F3
E y 4l 0 0 Ay Ey F1 F1 2 F2 3F3 70 kN 4 F2 F3 E y 90 kN
Method of joints Joint A Ay PAB PAF
Fy Fx Ay PAB sin PAF 0 0 PAB PAF Ay sin PAB cos Ay 2 127.3 kN Ay tan 90 kN
PAB cos
3
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 2 cont'd
Method of joints Joint F PFB PAF PFG
Fx Fy PAF PBF PFG F1 0 0 PFG PBF F1 PAF 90 kN (T )
60 kN
F1
Joint B /2- PBA PBF
Fy Fx PBA sin PAB cos PBF PBC PBG sin PBG cos 0 0 PBG PBC PBF sin ( PAB PAB PBG ) cos Ay sin ( 2 Ay F1 ( Ay F1 ) 2 42.43 kN (T ) 120 kN (C )
PBC
PBG
F1 ) cot
4
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 3
What is the axial load in member BD of the frame? l1=10 m, l2=5 m, l3=5 m, w=100 N/m w Replace distributed load with statically equivalent forces, FBD and global equilibrium l3 F3 l2+l3/2 l2
F2
Ay Ey 2l2/3
Ex Magnitudes of statically equivalent loads F2 wl 2 / 2, F3 wl 3 Equilibrium l 2l M (E) Ay l1 F2 2 F3 l2 3 0 3 2
l1
Ay
F2
2 l2 3 l1
F3
l2 l1
1 l3 2 l1
458.33 N
5
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 3 cont'd
FBD, equilibrium of frame member ABC: Cy
Cx
Bx
Ay
BD is two-force member
M (C )
Bxl3
Ay l1
0
Bx
Ay
l1 l3
916.67 N (T )
6
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 4
The mass of the van is m=2250 kg, and the coefficient of static friction between its tires and the road is s=0.6. If its front wheels are locked and its rear wheels can turn freely, what is the largest value of for which it can remain in equilibrium? What is the largest value of for which the van can remain in equilibrium if it points up the slope? Discuss the effect of weight on the results. Geometry: l1=1.2 m, l2=3 m, l3=1 m (a) FBD and equilibrium
R N
N
MR Fx (l2 l1 )W cos
s N W sin
W l3
l3W sin 0 l2 W sin
s
l2 N
0
l1
l2 Doesn't depend on weight
(l2 l1 )W cos tan l2 l1 l2 l3
s
l3W sin
0 l1 24.2o
7
1 / l2 s 1 s l3 / l2
0.45,
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 4 cont'd
(b) FBD and equilibrium
N
W
R
N
MR Fx
(l2 l1 )W cos
sN
l3W sin 0 l2 W sin
s
l2 N
0
W sin
(l2 l1 )W cos tan l2 l1 l2 l3
s
l3W sin 1 l1 / l2 s 1 s l3 / l2
0 16.7 o
0.3,
8
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 5
The cross-sectional area of bar AB is 0.015 m2. If the force F = 20 kN, what is the normal stress on a plane perpendicular to the axis of bar AB? The bar AB consists of a material that will safely support a tensile normal stress of max=20 MPa. Based on this criterion, what is the largest safe value of the force F? l1 l2 (a) FBD, equilibrium equations, average stress Cx Cy
PAB PAB
F
l1 l2 l1 sin
M (C )
AB
F (l1 l2 ) PAB sin l1 F l1 l2 AAB l1 sin
0
PAB
F
34641 N
PAB (b) Safe load Maximum AB member force PAB, max PAB, max AB , max AB , max AAB AAB Moment equilibrium for maximum AB member force M (C ) Fmax (l1 l2 ) PAB, max sin l1 0
Fmax PAB, max sin l1 l1 l2
AB, max
PAB AAB
2.31 MPa
AAB sin
l1 l1 l2
9
173.2 kN
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 6
Each bar has a cross-sectional area of 3 in2 and modulus of elasticity E = 12106 lb/in2. If a 40-kip horizontal force is applied at A, what are the normal stresses in the bars? Show derivations related to displacements. If a large system of equations emerges (>2x2) you don't have to solve it. Answer the question symbolically in terms of notations you introduced Geometry l l l l AB , l AD , l AC sin sin sin FBD of joint A, equilibrium l PAD - PAB F P
AC
Fy PAB sin
PAD sin PAC sin 0
Fx F PAB cos PAD cos PAC cos 0 Force-deformation; introduce stiffness parameters kAB, kAD, kAC PABl AB PABl k AB PAB , AB AE AE sin PAC l AC PAC l k AC PAC , AC AE AE sin PADl AD PADl MAE 101. Statics and Strength of Materials k AD PAD AD G. E. Orient 2006 AE AE sin 10
Problem 6 cont'd
Displacement compatibility derivations for small deformations (u20, v20, 20) B D C
A' Member AB l AB cos u
l AB cos2
2
A
2
u
2 AB
v
v2
2 2 AB AB
l AB sin
v
2
l AB
2
2ulAB cos
u 2 l AB sin 2
2vl AB sin
l AB
2l AB
u cos v sin AB Similarly, member AD: u cos v sin AD Member AC, however is different:
l AC cos u cos
u
2
l AC sin
AC
v
2
l AC
2 AC
v sin
11
MAE 101. Statics and Strength of Materials G. E. Orient 2006
Problem 6 cont'd
Displacement compatibility
AB AD AC
k AB PAB k AD PAD k AC PAC
u cos u cos u cos
v sin v sin v sin
System of equations for five unknowns
s1 c1 k AB 0 0 s2 c2 0 k AD 0 s3 c3 0 0 k AC 0 0 c1 c2 c3 0 0 s1 s2 s3 PAB PAD PAC u v 0 F 0 0 0
P_AB=22344,P_AD=9581,P_AC=30502,u=0.087,v=-0.0136
Stresses in truss members PAB / A 7.45 ksi AB
AD AC
PAD / A 3.19 ksi PAC / A 10.17 ksi
12
MAE 101. Statics and Strength of Materials G. E. Orient 2006

**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:

UCLA - EE BIOL - 116

EEB 116 Winter 2007 Midterm 1Name_*Please write your name on every page. *Keep your answers short. Don't go beyond the space provided. Some important names and some names we would like to forget:Kit Carson Aldo Leopold Hillary Clinton George Bus

UCLA - EE BIOL - 116

1. The use of science to preserve biodiversity is a primary goal of conservation biology. However, biodiversity is a complex variable and can be divided into compositional, structural and functional components. Are the number of genes, the number of

Cornell - PSYCH - 1101

11/12/07 Subliminal Perception -a stimulus is subliminal when it is perceived correctly less than 50% of the time it is presented -more than 50 percent: supraliminal -effected by duration and brightness -the longer and brighter, the less likely to be

Cornell - PSYCH - 1101

11/19/07 Final 100 questions -entire textbook -supplements since Nov. 5 Skinner and Behaviorism -operant conditioning (skinner boxes) -OC Paradigm -CS (learn piano) CR (Practice) (reinforcement) More practicing -"behavior is shaped by its conseque

Cornell - PSYCH - 1101

11/26/07 Hypnosis: A state of believed in imagination where distortions of perception and memory are possible for some subjects Post-Hypnotic suggestion Characteristics of Hypnosis 1. subject is highly motivated to cooperate (smoking clinics) 2. Subs

Cornell - PSYCH - 1101

10/29/07 Illusions The Ames Window Illusion -Past experience and assumptions about the built environment and lead our perception astray The Generic View Principle (On Website) Cross-Modal Influences (On Website) The Relationship between perceived siz

Cornell - PSYCH - 1101

10/31/07 How do we judge depth and distance? 1. Primary cues (Physical) -Accommodation -If you look at a far object, the lens is thin -as the object gets closer, the lens bulges significantly -Convergence -Retinal Disparity -each eye sees a separate

UCLA - PHYS - PHYSICS 1A

Patrick McKeown Physics 1A Musumeci March 4, 2008The Physics Behind the PowerballThe Powerball is a wrist exercise tool that contains a gyroscope inside a plastic shell. Once the gyroscope is started spinning manually, the user rotates his or her

Cornell - PSYCH - 1101

11/30/07 Scizoid-Affective Personality Disorder -lonely, isolated, timid, shy -good in school -interest in the arts -imaginative and idealistic -feelings of inferiority -discomfort in interpersonal relations Edvard Munch -treated for paranoia and dep

Cornell - GOVT - 1817

8/22/07 Key Concepts in IR State: The largest and most organized body of government -dwell in anarchy: the absence of a single unified sovereignty -ex: Czechoslovakia Czech Republic and Slovakia -CR and S exist in anarchy -within a state of anarchy,

Cornell - GOVT - 1817

IR concentration 430 -6 32 warren hall 11/01/07 Politics and the International Monetary System 4 Periods of International Trade 1. The Classical Gold Standard System (1870-1910) -London-world's international financing center -Golden Age of Internatio

Cornell - GOVT - 1817

11/06/07 Explaining Choices About Money Monetary Cooperation is Hard *harder than any other cooperation, also of utmost importance -Complexity -unique challenges posed due to complexity -even if all states agree that cooperation is best in theory, it

Cornell - GOVT - 1817

11/13/07 Globalization and National Security -What are the consequences? -reduction of the autonomy of state power -since states have their power reduced adnt their capacities adanced, huge effect on balance of power -all states becaume a threat to t

Cornell - GOVT - 1817

8/28/07 3 Levels of Analysis 1. Man A. Human Nature -humans are animals, animals inherently group and make war -there is a relationship between organism and environment -hormones must be harnessed and controlled *while human nature explains why human

Cornell - GOVT - 1817

8/30/07 Afghanistan, Iraq, and IR Theory Levels of Analysis Man: 0- Human Nature 1- Human Error 2- Ideology 3- "Great Man" 9/11 Attacks Success: 0-U.S. False Image 1-Strategic Blunders Attack: 2-Clash of Ideologies 3-Bin Laden Afg. Iraq 1- WMDs?N O

UCLA - EE - 100

EE100 07S Mid-Term 1Name _|_LAST FIRSTStudent ID _DO NOT OPEN UNTIL INSTRUCTED TO DO SO. We will copy some graded exam papers for archival purposes! Put your name in the blank on EVERY page. Show your setup. Circle your answers. Add notes

Cornell - PSYCH - 1101

9/14/07 Criticisms of Freudian Theory -Lack of parsimony: Occam's Razor -less is more: shave off the unneeded -poor definitions: literal or metaphor? -id. Ego, superego, energies -untestability: "post-hoc analysis" -explanatory, not predictive -very

Cornell - PSYCH - 1101

9/19/07 Can you kill while sleepwalking? -sentenced to life without parole Why? -details of the crime -expert testimony -jury makeup, biases, education, and background -judges' interpretation of law (esp. appellate) Colin Kemp: murders wife in his sl

Cornell - PSYCH - 1101

10/17/07Assessing the value of a test Is the test reliable? Validity Is the test valid. -for predicting "x"? -for what specific groups? Types of tests -Self-Report Tests -Kuder Preference Record -fill out a questionnaire for occupational interests

UCLA - EE BIOL - 116

3b) What fraction of heterozygosity will be lost in a population with 6 and 600 individuals in a single generation? (2 pts) 8a) Consider the Wombat. You are fortunate to discover a second breeding colony in New South Wales, Australia, previously unkn

Cornell - GOVT - 1615

2/4/08 Historical and Social Setting for Emergence of Liberalism GHG's-Gross Historical GeneralizationsA. Society and Politics in "Traditional" Europe 1. Hierarchy -there is a natural order of things -natural superiority and inferiority -establishe

Cornell - GOVT - 395

1/24/08 Security -Scope -Use of force to achieve political goals -"politics by other means" -non-use of violence or threat -Centrality of the state -principal unit of political organization -claims the monopoly of the legitimate use of violence -Narr

Cornell - GOVT - 1817

9/20/07 Explaining the Cold War -End of Eisenhower era: Cold War reaching stability -people become used to the non-shooting war status -Role of Cuba prior to Cuban Missile Crisis -1959: Castro takes power -closely associated with USSR -1961 JFK inher

Cornell - GOVT - 395

1/31/08 Regionalism in Global Politics Globalization vs. Internationalization -Katzenstein (2006) -Globalization: a process that transcends space and compresses time. IT has novel transformative effects on world politics.and highlights the emergence

Cornell - GOVT - 395

2/7/08 Globalization of Liberalization? -Globalization -Supra-territoriality, simultaneity -Liberalization -Neo-Liberalism, removing regulatory measures -Westernization -Claims about universalism on the basis of spread of social structures of Moderni

Cornell - GOVT - 395

2/14/08 State Sovereignty Addressing reform in international financial institutions -Replace ideological thinking -market fundamentalism -change voting rights -currently do not have to report activity -unaccountable voting -enhance transparency -decr

Cornell - GOVT - 395

2/19/08Kosovo Independence -2/17/08- a new declaration of independence -1991- 1st declaration -1989-1999- "emergency measures" and segregation -1999- NATO military intervention -Clinton Administration -humanitarian reasons ("Just War") -regional st

Cornell - GOVT - 395

2/26/08 Transnational Civil Society Theorizing about Transnational Relations -Transnational Relations and World Politics -Keohane and Nye, 1971 -Sociological institutionalism (1980's) -capitalism vs. communism, etc. -Constructivism and the normative

Cornell - GOVT - 395

3/04/08 Human Rights and Transnational Networks Review: Rooted Cosmopolitans -active in social politics in a place other than where they live -Cornell students involved in Darfur -sometimes can be voluntary migrants -former Frenchman involved in Fren

Cornell - GOVT - 1615

2/26/08Machiavelli and Power I. Life, Image, and Times (1469-1527) -Florence under the Medici regime -"Golden Age" of Florentine Renaissance -Secretary to the Florentine Republic until 1512 -Replaces the Medici family -Medici regime restored in 151

Cornell - GOVT - 1817

9/6 Too Many Suspects: The causes of WWI Some Theory: Offense/Defense/The Security Dilemma First strike becomes less and less important in a Defense dominated world O/D can influence the intentions of potential adversaries -Anarchy -In a D world, it

UCLA - MAE - 101

Quiz 1 - Solution1MAE 101. Statics and Strength of Materials G. E. Orient 2006Problem 1 The mass m = 120 kg. Determine the forces on member ABC Reactions: FBD of the entire structure, equilibrium Ay Axl2Fx Fy Ax Ex 0 Ay 2l1mg mg 0 Ax 0 Ex

Cornell - GOVT - 1817

9/27/07 Strategy & Game Theory Strategy -What you are doing depends on what others are doing -What effect your actions will have on others *Strategy must take into account both of these points -Obvious illustration: The Security Dilemma Terms that wi

Cornell - GOVT - 395

1/29/08 Range Of Theories Theories Theoretical Core Realism Self-Interest, competition for power Liberalism Freedoms, political participation, democratic peace, economic pacifism States, International Institutions, Commercial interests International

UCLA - MAE - 101

Quiz 2 - Solution1MAE 101. Statics and Strength of Materials G. E. Orient 2006Problem 1 From x = 0 to x = l1, the cross sectional area of the bar is A1 = 1 in2. From x = l1 to x = l2, A=A2x, A2=0.1 in. The modulus of elasticity of the materia

UCLA - MAE - 101

Quiz 3 - Solution1MAE 101. Statics and Strength of Materials G. E. Orient 2006Problem 1 The bar BD is rigidly fixed to the beam ABC at B. Draw the shear force and bending moment diagrams for the beam ABC. Indicate the coordinates of key point

Cornell - GOVT - 1817

10/18/07 International Political Economy: Liberalism and its Discontents Liberalism -liberalism in this sense means "classical liberalism" -emphasis on "liberty": hands-off government, free-market society -The Classical Liberal Vision -assumes sponta

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 1 - Solution Due by: Jan 15, 20071/7UCLA MAE 101, Statics and Strength of Materials Homework 1 - Solution Due by: Jan 15, 20072/7UCLA MAE 101, Statics and Strength of Materials Homework

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 2 Due by: Jan 22, 20071/7UCLA MAE 101, Statics and Strength of Materials Homework 2 Due by: Jan 22, 20072/7UCLA MAE 101, Statics and Strength of Materials Homework 2 Due by: Jan 22, 200

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 3 Due by: Jan 29, 20071/10UCLA MAE 101, Statics and Strength of Materials Homework 3 Due by: Jan 29, 20072/10UCLA MAE 101, Statics and Strength of Materials Homework 3 Due by: Jan 29, 2

Cornell - PSYCH - 1101

10/10/07 Wrapping up ESP -just because you don't know how it's done doesn't make it magic Naturalistic Observations continued 3. Make unbiased observations -Rosenthal: Pygmalion in the classroom -teachers told that students tested for readiness to le

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 4 Due by: Feb 5, 20071/10UCLA MAE 101, Statics and Strength of Materials Homework 4 Due by: Feb 5, 20072/10UCLA MAE 101, Statics and Strength of Materials Homework 4 Due by: Feb 5, 2007

Cornell - PSYCH - 1101

9/24/07Narcoleptic Tetrad Continued: 3. Sleep Paralysis Muscles stop working even after REM sleep -happens even while just waking for a few seconds 4. Hypogogic hallucinations -can't tell if asleep or awake Narcolepsy -Onset before puberty -Genetic

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 5 Due by: Feb 14, 20071/9UCLA MAE 101, Statics and Strength of Materials Homework 5 Due by: Feb 14, 20079.48 and 9.49 are to be treated as a single problem2/9UCLA MAE 101, Statics and

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 6 Due by: Feb 28, 20071/8UCLA MAE 101, Statics and Strength of Materials Homework 6 Due by: Feb 28, 20072/8UCLA MAE 101, Statics and Strength of Materials Homework 6 Due by: Feb 28, 200

UCLA - MAE - 101

UCLA MAE 101, Statics and Strength of Materials Homework 6 Due by: March 7, 20071/11UCLA MAE 101, Statics and Strength of Materials Homework 6 Due by: March 7, 20072/11UCLA MAE 101, Statics and Strength of Materials Homework 6 Due by: March 7

USC - EE - 357

Stack Sample SolutionsHint: This is an absolute address0F00 0F06 0F0C 0F12 0F18 0F1E 0F20 0F26 0F2A 0F2E 0F32 0F36STARTL0VAR_1 VAR_2ORG MOVE.L MOVE.L MOVE.L SUBI.L MOVE.L ROL.L MOVE.L BSR.L DS.L DS.L MOVE.L STOP ORG MOVEA.L MOVE.L MOVE.L

UCLA - EE BIOL - 109

1The global oceanic conveyer belt (shown above in a simplified illustration), is a unifying concept that connects the ocean's surface and thermohaline (deep mass) circulation regimes, transporting heat and salt on a planetary scale. The conveyor be

UCLA - EE BIOL - 109

Literature Search1) Go to http:/www.library.ucla.edu 2) Move the cursor to "Libraries and Collections" and click on "The Libraries" 3) Click on "Biomedical Library" on the left side of the page For Books: 4) Click on "UCLA Library Catalog" 5) Search

UCLA - EE BIOL - 109

Note: This is not a comprehensive list of things that you need to know. This is only a list of the specimens that were provided in lab.Week 1Slides Phytoplankton/Zooplankton Mixture Know Diatoms Diatom strew Diatom frustules Diatom stained Marine

UCLA - EE BIOL - 109

The tides are caused by the gravitational attraction of the Moon. Most people have no problems understanding why, when the Moon is directly over head there are high tides - but then they ask why there are two tides a day! It is also a good question t

UCLA - EE BIOL - 109

Rocky Intertidal Field Trip -Major Challenges and adaptations of intertidal organisms -Temperature-Salinity-Wave action-Water loss-Respiration-Structure of Rocky intertidal and Zonation Zonation -Slope -Tidal range -Exposure to wave action

UCLA - EE BIOL - 109

EEB 109 INTRODUCTION TO MARINE SCIENCE Summer 2007 Quiz #1 Description _ Structure: The quiz will be given in LS 1315 at the beginning of your lab section. There will be approximately 50 questions on the quiz. You will have 30 minutes to complete the

UCLA - EE BIOL - 109

EEB 109 INTRODUCTION TO MARINE SCIENCE Summer 2007TERM PAPERS/PRESENTATIONS_ In this course, we will cover a wide range of marine species that live in oceanic or coastal habitats. Many of these organisms are quite unusual, and they often exhibit s

USC - EE - 357

The 68000's Instruction SetWe have included this appendix to save you the task of having to turn to secondarymaterial when writing 68000 assembly language programs. Since most programmers are not interested in the encoding of instructions, detail

USC - EE - 357

C to ASM translation samplesResult Result = (int*) 0x0F00; *Result = 0; for (i=1; i<100; i+) *Result += i; START LOOP ORG $0F00 DC.L 0 ORG $1000 MOVE.L #1, D0 CLR.L Result ADD.L D0, Result ADD.L #1, D0 CMP #100, D0 BNE LOOP STOP #$2700 END START ORG

USC - EE - 357

The 68000's Instruction Set Application:21Suppose we wish to input a block of 512 bytes of data (the data is returned in register D1). If the input routine returns a value zero in D1, an error has occurred and the loop must be exited.Dest,A0 #51

UCLA - MAE - 33B

Math 33b, Quiz 2bd, April 19, 2007 Name: UCLA ID:1. Find the general solution to the differential equation (2x2 + xy 3 )dx + (3x2 y 2 )dy = 0. (An integrating factor of the form (x) will be required to make the given equation exact.) Solution. Set

UCLA - EE BIOL - 109

Class Bacillariophyta - Diatoms Division Chrysophyta Photosynthesis, 15 microns Range: sunlit oceans and freshwater worldwideDivision Dinoflagellata DinoflagellatesEnteromorpha linza Division Chlorophyta Habitat High to mid-tidal, on rock

Cornell - GOVT - 1817

10/16/07 The Expansion of the International EconomyBilateral Bargaining -2 observations 1. Many of these problems are multilateral prisoner's dilemmas -through repeated encounters, bilateral bargainers claim that over time, states will learn to coo

Cornell - GOVT - 1615

2/5/08 Plato's Political Thought Continued VII Idealism: appearance and reality -metaphysics and epistemology -contrasts drawn between capacities Masses Followers Cannot know truth, no wisdom "Sightseers, Spectators"-live in realm of appearances and