COLLEGE OF ENGINEERING AND TECHNOLOGY
|
|
- Felicity Briggs
- 5 years ago
- Views:
Transcription
1 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO : C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 1 Drw the internl force digrms t.m 2. 6 t 3. 9 t w t/m
2 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO : C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 2 1 Using the Principl Of Superposition, Drw the ending Moment Digrm nd Sher Force Digrm for the following ems : t 2 t/m 1.2.m m 1.4 P t 6 m.m
3 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO : C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 3 1 Using the 3 Moment Eqution Method, Drw the ending Moment Digrm nd Sher Force Digrm for the following ems : 1.1 C t 15 t 1. 2.m 1 m 1 m C t C 2 8 m D 1.4 settlement of support = 4 cm (E = 5000 t.m 2 ) 2 6 m 6 m C 1.5 settlement of support = 4 cm, nd settlement of support C = 2 cm (E = 5000 t.m 2 ) P t 2. 2 C D
4 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO.: C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 4 Using the Virtul Work Method : 1 Clculte the deflection & rottion t point () in term of E : m 2 Drw the ending Moment Digrm for the following ems : m 15 t.m t 1 m 3 C 2.3 settlement of support C = 4 cm ( E = 5000 t.m 2 ) P t C 2 D
5 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO : C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 5 1 Using the Virtul Work Method, Drw the ending Moment Digrm for the following Frmes: m m 10 m 1.3 P t 3 = m 8 m 27 t 27 t m 10 m C
6 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO : C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 6 (Prt 1) 1 Using Virtul Work Method, Find the nternl Forces in members for the following Trusses: 1.1 b d 3m f g h 1 14 t 1 e t 15 t 15 t 15 t 17 t c d e f g b k 4 j h 3x2 = 6 m i 4x3 = t 15 t 6 P 15 t 15 t b 2 c 2 d 2 e 2 f 2 2 j i h 4x4 = 16 m g
7 COLLEGE OF ENGNEERNG ND TECHNOLOGY DEPRTMENT : Construction nd uilding Engineering COURSE : Structurl nlysis 2 COURSE NO : C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 6 (Prt 2) 2 Using Virtul Work Method, Find the nternl Forces in members for the following Trusses due to : ( E = t ) cse : Settlement of support. cse (2): Fbriction Error. Member Fbriction cm cm cm Problem Settlement 2.1 Δ = 2 cm cse(3): these members hve increse of temperture = + 40 º c t 15 t 4 t 1-3cm 2-2cm 3 4 t 3-2cm 2-3cm + 2cm b c cm b
8 COLLEGE OF ENGNEERNG & TECHNOLOGY Deprtment :Construction nd uilding Engineering Course : Structurl nlysis 2 Course No: C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill SHEET 7 Using the slope deflection method of structurl nlysis: 1- Drw the internl forces in ll the following four continuous bems subjected to the indicted lods. 2- f the continuous bems (problems 3 nd 4 only) hve settlement t support (2) equl to 5 cm. drw the internl forces due to settlement only. The reltive inerti of ech bem members re s given. E = 2x10 4 t.m 2 3 (2) 2 1 (3) 30 t (2) 2 (3) 10 m 10 m 1 (4) t 2 t/m 2 (2) 5 (3) 2 (4) 6 m 6 m 6 m 1. 8 P (4) 4 2 (2) (3) 6 m 6 m 6 m 1.
9 COLLEGE OF ENGNEERNG & TECHNOLOGY Deprtment :Construction nd uilding Engineering Course : Structurl nlysis 2 Course No: C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill Sheet 8 (Prt 1) Frmes without swy ) Drw the possible swy mode for ech of the following frmes. ) Using the slope deflection method of structurl nlysis drw the internl forces for: 3 (2) t 2 (3) (4) (5) 6 t/m (3) 6 t/m 3 3 (2) (4) m (5) Problem # 1 Problem # 2 (3) (2) /m (4) (5) (6) (2) (3) (4) 1 m 1 m 1 Problem # 3 Problem # 4
10 COLLEGE OF ENGNEERNG & TECHNOLOGY Deprtment :Construction nd uilding Engineering Course : Structurl nlysis 2 Course No: C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill Sheet 8 (Prt 2) Frmes with swy ) Drw the possible swy mode for ech of the following frmes. ) Using the slope deflection method of structurl nlysis drw the internl forces for: 15 t 1 (2) 2 (3) (4) (4) 8 m (2) 3 (3) 8 m Problem # 5 Problem # 6 7 t/m (2) (3) 16 t 3 (3) (4) 2 3 (2) 3 (6) (5) 3 2 (4) 1 m 1 m 7 m 1 Problem # 7 Problem # 8
11 COLLEGE OF ENGNEERNG & TECHNOLOGY Deprtment :Construction nd uilding Engineering Course : Structurl nlysis 2 Course No: C 343 LECTURER : Dr. Mohmed SFN T. SSSTNT : Eng. Mostf Yossef, Eng. l-hussein Hill Sheet 9 Moment Distribution Method ) Using the moment distribution method, Drw.M.D for: 1) settlement of support C = 3 cm ( E = 5000 t.m 2 ) C 2 D 2) (2) (3) (4) 1 m 1 m 1
Chapter 5 Bending Moments and Shear Force Diagrams for Beams
Chpter 5 ending Moments nd Sher Force Digrms for ems n ddition to illy loded brs/rods (e.g. truss) nd torsionl shfts, the structurl members my eperience some lods perpendiculr to the is of the bem nd will
More informationModule 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur
Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 8 The Force Method of Anlysis: Bems Version CE IIT, Khrgpur Instructionl Objectives After reding
More informationV. DEMENKO MECHANICS OF MATERIALS LECTURE 6 Plane Bending Deformation. Diagrams of Internal Forces (Continued)
V. DEMENKO MECHNCS OF MTERLS 015 1 LECTURE 6 Plne ending Deformtion. Digrms of nternl Forces (Continued) 1 Construction of ending Moment nd Shering Force Digrms for Two Supported ems n this mode of loding,
More informationMECHANICS OF MATERIALS
9 The cgrw-hill Compnies, Inc. All rights reserved. Fifth SI Edition CHAPTER 5 ECHANICS OF ATERIALS Ferdinnd P. Beer E. Russell Johnston, Jr. John T. DeWolf Dvid F. zurek Lecture Notes: J. Wlt Oler Texs
More informationCE 160 Lab 2 Notes: Shear and Moment Diagrams for Beams
E 160 Lb 2 Notes: Sher nd oment Digrms for ems Sher nd moment digrms re plots of how the internl bending moment nd sher vry long the length of the bem. Sign onvention for nd onsider the rbitrrily loded
More informationBME 207 Introduction to Biomechanics Spring 2018
April 6, 28 UNIVERSITY O RHODE ISAND Deprtment of Electricl, Computer nd Biomedicl Engineering BME 27 Introduction to Biomechnics Spring 28 Homework 8 Prolem 14.6 in the textook. In ddition to prts -e,
More informationRigid Frames - Compression & Buckling
ARCH 614 Note Set 11.1 S014n Rigid Frmes - Compression & Buckling Nottion: A = nme or re d = nme or depth E = modulus o elsticity or Young s modulus = xil stress = ending stress z = stress in the x direction
More informationModule 1. Energy Methods in Structural Analysis
Module 1 Energy Methods in Structurl Anlysis Lesson 4 Theorem of Lest Work Instructionl Objectives After reding this lesson, the reder will be ble to: 1. Stte nd prove theorem of Lest Work.. Anlyse stticlly
More information1 Bending of a beam with a rectangular section
1 Bending of bem with rectngulr section x3 Episseur b M x 2 x x 1 2h M Figure 1 : Geometry of the bem nd pplied lod The bem in figure 1 hs rectngur section (thickness 2h, width b. The pplied lod is pure
More informationStatically indeterminate examples - axial loaded members, rod in torsion, members in bending
Elsticity nd Plsticity Stticlly indeterminte exmples - xil loded memers, rod in torsion, memers in ending Deprtment of Structurl Mechnics Fculty of Civil Engineering, VSB - Technicl University Ostrv 1
More informationShear and torsion interaction of hollow core slabs
Competitive nd Sustinble Growth Contrct Nº G6RD-CT--6 Sher nd torsion interction of hollow core slbs HOLCOTORS Technicl Report, Rev. Anlyses of hollow core floors December The content of the present publiction
More informationeleven rigid frames: compression & buckling Rigid Frames Rigid Frames Rigid Frames ELEMENTS OF ARCHITECTURAL STRUCTURES: FORM, BEHAVIOR, AND DESIGN
ELEMENTS O RCHITECTURL STRUCTURES: ORM, BEHVIOR, ND DESIGN DR. NNE NICHOLS SRING 018 lecture eleven rigid rmes: compression & uckling Rigid rmes 1 Lecture 11 S009n http:// nisee.erkeley.edu/godden Rigid
More informationCalculus AB Section I Part A A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAMINATION
lculus Section I Prt LULTOR MY NOT US ON THIS PRT OF TH XMINTION In this test: Unless otherwise specified, the domin of function f is ssumed to e the set of ll rel numers for which f () is rel numer..
More informationSolution Manual. for. Fracture Mechanics. C.T. Sun and Z.-H. Jin
Solution Mnul for Frcture Mechnics by C.T. Sun nd Z.-H. Jin Chpter rob.: ) 4 No lod is crried by rt nd rt 4. There is no strin energy stored in them. Constnt Force Boundry Condition The totl strin energy
More informationAns. Ans. Ans. Ans. Ans. Ans.
08 Solutions 46060 5/28/10 8:34 M Pge 532 8 1. sphericl gs tnk hs n inner rdius of r = 1.5 m. If it is subjected to n internl pressure of p = 300 kp, determine its required thickness if the mximum norml
More informationDesign of T and L Beams in Flexure
Lecture 04 Design of T nd L Bems in Flexure By: Prof. Dr. Qisr Ali Civil Engineering Deprtment UET Peshwr drqisrli@uetpeshwr.edu.pk Prof. Dr. Qisr Ali CE 320 Reinforced Concrete Design Topics Addressed
More informationDesign of T and L Beams in Flexure
Lecture 04 Design of T nd L Bems in Flexure By: Prof. Dr. Qisr Ali Civil Engineering Deprtment UET Peshwr drqisrli@uetpeshwr.edu.pk Prof. Dr. Qisr Ali CE 320 Reinforced Concrete Design Topics Addressed
More informationA B= ( ) because from A to B is 3 right, 2 down.
8. Vectors nd vector nottion Questions re trgeted t the grdes indicted Remember: mgnitude mens size. The vector ( ) mens move left nd up. On Resource sheet 8. drw ccurtely nd lbel the following vectors.
More informationCalculus 2: Integration. Differentiation. Integration
Clculus 2: Integrtion The reverse process to differentition is known s integrtion. Differentition f() f () Integrtion As it is the opposite of finding the derivtive, the function obtined b integrtion is
More informationState space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies
Stte spce systems nlysis (continued) Stbility A. Definitions A system is sid to be Asymptoticlly Stble (AS) when it stisfies ut () = 0, t > 0 lim xt () 0. t A system is AS if nd only if the impulse response
More informationChapter 10: Symmetrical Components and Unbalanced Faults, Part II
Chpter : Symmetricl Components nd Unblnced Fults, Prt.4 Sequence Networks o Loded Genertor n the igure to the right is genertor supplying threephse lod with neutrl connected through impednce n to ground.
More informationSTRAND J: TRANSFORMATIONS, VECTORS and MATRICES
Mthemtics SKE: STRN J STRN J: TRNSFORMTIONS, VETORS nd MTRIES J3 Vectors Text ontents Section J3.1 Vectors nd Sclrs * J3. Vectors nd Geometry Mthemtics SKE: STRN J J3 Vectors J3.1 Vectors nd Sclrs Vectors
More informationUses of transformations. 3D transformations. Review of vectors. Vectors in 3D. Points vs. vectors. Homogeneous coordinates S S [ H [ S \ H \ S ] H ]
Uses of trnsformtions 3D trnsformtions Modeling: position nd resize prts of complex model; Viewing: define nd position the virtul cmer Animtion: define how objects move/chnge with time y y Sclr (dot) product
More informationEFFECTIVE BUCKLING LENGTH OF COLUMNS IN SWAY FRAMEWORKS: COMPARISONS
IV EFFETIVE BUING ENGTH OF OUMN IN WAY FRAMEWOR: OMARION Ojectives In the present context, two different pproches re eployed to deterine the vlue the effective uckling length eff n c of colun n c out the
More informationPhysics 2135 Exam 3 April 21, 2015
Em Totl hysics 2135 Em 3 April 21, 2015 Key rinted Nme: 200 / 200 N/A Rec. Sec. Letter: Five multiple choice questions, 8 points ech. Choose the best or most nerly correct nswer. 1. C Two long stright
More informationDynamics: Newton s Laws of Motion
Lecture 7 Chpter 4 Physics I 09.25.2013 Dynmics: Newton s Lws of Motion Solving Problems using Newton s lws Course website: http://fculty.uml.edu/andriy_dnylov/teching/physicsi Lecture Cpture: http://echo360.uml.edu/dnylov2013/physics1fll.html
More informationDesigning Information Devices and Systems I Fall 2016 Babak Ayazifar, Vladimir Stojanovic Homework 6. This homework is due October 11, 2016, at Noon.
EECS 16A Designing Informtion Devices nd Systems I Fll 2016 Bk Ayzifr, Vldimir Stojnovic Homework 6 This homework is due Octoer 11, 2016, t Noon. 1. Homework process nd study group Who else did you work
More informationComparison of the Design of Flexural Reinforced Concrete Elements According to Albanian Normative
ISBN 978-93-84422-22-6 Proceedings of 2015 Interntionl Conference on Innovtions in Civil nd Structurl Engineering (ICICSE'15) Istnbul (Turkey), June 3-4, 2015 pp. 155-163 Comprison of the Design of Flexurl
More informationJob No. Sheet 1 of 8 Rev B. Made by IR Date Aug Checked by FH/NB Date Oct Revised by MEB Date April 2006
Job o. Sheet 1 of 8 Rev B 10, Route de Limours -78471 St Rémy Lès Chevreuse Cedex rnce Tel : 33 (0)1 30 85 5 00 x : 33 (0)1 30 5 75 38 CLCULTO SHEET Stinless Steel Vloristion Project Design Exmple 5 Welded
More informationDA 3: The Mean Value Theorem
Differentition pplictions 3: The Men Vlue Theorem 169 D 3: The Men Vlue Theorem Model 1: Pennslvni Turnpike You re trveling est on the Pennslvni Turnpike You note the time s ou pss the Lenon/Lncster Eit
More information1. a) Describe the principle characteristics and uses of the following types of PV cell: Single Crystal Silicon Poly Crystal Silicon
2001 1. ) Describe the principle chrcteristics nd uses of the following types of PV cell: Single Crystl Silicon Poly Crystl Silicon Amorphous Silicon CIS/CIGS Gllium Arsenide Multijunction (12 mrks) b)
More informationScientific notation is a way of expressing really big numbers or really small numbers.
Scientific Nottion (Stndrd form) Scientific nottion is wy of expressing relly big numbers or relly smll numbers. It is most often used in scientific clcultions where the nlysis must be very precise. Scientific
More information99/105 Comparison of OrcaFlex with standard theoretical results
99/105 Comprison of OrcFlex ith stndrd theoreticl results 1. Introduction A number of stndrd theoreticl results from literture cn be modelled in OrcFlex. Such cses re, by virtue of being theoreticlly solvble,
More informationMath 259 Winter Solutions to Homework #9
Mth 59 Winter 9 Solutions to Homework #9 Prolems from Pges 658-659 (Section.8). Given f(, y, z) = + y + z nd the constrint g(, y, z) = + y + z =, the three equtions tht we get y setting up the Lgrnge multiplier
More informationNat 5 USAP 3(b) This booklet contains : Questions on Topics covered in RHS USAP 3(b) Exam Type Questions Answers. Sourced from PEGASYS
Nt USAP This ooklet contins : Questions on Topics covered in RHS USAP Em Tpe Questions Answers Sourced from PEGASYS USAP EF. Reducing n lgeric epression to its simplest form / where nd re of the form (
More informationLECTURE 14. Dr. Teresa D. Golden University of North Texas Department of Chemistry
LECTURE 14 Dr. Teres D. Golden University of North Texs Deprtment of Chemistry Quntittive Methods A. Quntittive Phse Anlysis Qulittive D phses by comprison with stndrd ptterns. Estimte of proportions of
More information10.2 The Ellipse and the Hyperbola
CHAPTER 0 Conic Sections Solve. 97. Two surveors need to find the distnce cross lke. The plce reference pole t point A in the digrm. Point B is meters est nd meter north of the reference point A. Point
More informationMEP Practice Book ES3. 1. Calculate the size of the angles marked with a letter in each diagram. None to scale
ME rctice ook ES3 3 ngle Geometr 3.3 ngle Geometr 1. lculte the size of the ngles mrked with letter in ech digrm. None to scle () 70 () 20 54 65 25 c 36 (d) (e) (f) 56 62 d e 60 40 70 70 f 30 g (g) (h)
More informationProf. Anchordoqui. Problems set # 4 Physics 169 March 3, 2015
Prof. Anchordoui Problems set # 4 Physics 169 Mrch 3, 15 1. (i) Eight eul chrges re locted t corners of cube of side s, s shown in Fig. 1. Find electric potentil t one corner, tking zero potentil to be
More informationSeptember 13 Homework Solutions
College of Engineering nd Computer Science Mechnicl Engineering Deprtment Mechnicl Engineering 5A Seminr in Engineering Anlysis Fll Ticket: 5966 Instructor: Lrry Cretto Septemer Homework Solutions. Are
More informationinteratomic distance
Dissocition energy of Iodine molecule using constnt devition spectrometer Tbish Qureshi September 2003 Aim: To verify the Hrtmnn Dispersion Formul nd to determine the dissocition energy of I 2 molecule
More informationDesigning Information Devices and Systems I Spring 2018 Homework 7
EECS 16A Designing Informtion Devices nd Systems I Spring 2018 omework 7 This homework is due Mrch 12, 2018, t 23:59. Self-grdes re due Mrch 15, 2018, t 23:59. Sumission Formt Your homework sumission should
More informationVorticity. curvature: shear: fluid elements moving in a straight line but at different speeds. t 1 t 2. ATM60, Shu-Hua Chen
Vorticity We hve previously discussed the ngulr velocity s mesure of rottion of body. This is suitble quntity for body tht retins its shpe but fluid cn distort nd we must consider two components to rottion:
More informationStudy of soil interaction in a model building frame with plinth beam supported by pile group
Reddy nd Ro Interntionl Journl of Advnced Structurl Engineering 212, 4:11 ORIGINAL RESEARCH Open Access Study of soil interction in model uilding frme with plinth em supported y pile group Rvikumr C Reddy
More informationDynamics and control of mechanical systems. Content
Dynmics nd control of mechnicl systems Dte Dy 1 (01/08) Dy (03/08) Dy 3 (05/08) Dy 4 (07/08) Dy 5 (09/08) Dy 6 (11/08) Content Review of the bsics of mechnics. Kinemtics of rigid bodies plne motion of
More informationStress distribution in elastic isotropic semi-space with concentrated vertical force
Bulgrin Chemicl Communictions Volume Specil Issue pp. 4 9 Stress distribution in elstic isotropic semi-spce with concentrted verticl force L. B. Petrov Deprtment of Mechnics Todor Kbleshkov Universit of
More informationPhysics Honors. Final Exam Review Free Response Problems
Physics Honors inl Exm Review ree Response Problems m t m h 1. A 40 kg mss is pulled cross frictionless tble by string which goes over the pulley nd is connected to 20 kg mss.. Drw free body digrm, indicting
More informationDYNAMIC EARTH PRESSURE SIMULATION BY SINGLE DEGREE OF FREEDOM SYSTEM
13 th World Conference on Erthque Engineering Vncouver, B.C., Cnd August 1-6, 2004 per No. 2663 DYNAMIC EARTH RESSURE SIMULATION BY SINGLE DEGREE OF FREEDOM SYSTEM Arsln GHAHRAMANI 1, Seyyed Ahmd ANVAR
More informationThis chapter will show you. What you should already know. 1 Write down the value of each of the following. a 5 2
1 Direct vrition 2 Inverse vrition This chpter will show you how to solve prolems where two vriles re connected y reltionship tht vries in direct or inverse proportion Direct proportion Inverse proportion
More informationMath 120 Answers for Homework 13
Mth 12 Answers for Homework 13 1. In this problem we will use the fct tht if m f(x M on n intervl [, b] (nd if f is integrble on [, b] then (* m(b f dx M(b. ( The function f(x = 1 + x 3 is n incresing
More information8Similarity ONLINE PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.
8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8.4 re nd volume scle fctors 8. Review Plese refer to the Resources t in the Prelims section of your eookplus for comprehensive step-y-step
More informationEmission of K -, L - and M - Auger Electrons from Cu Atoms. Abstract
Emission of K -, L - nd M - uger Electrons from Cu toms Mohmed ssd bdel-rouf Physics Deprtment, Science College, UEU, l in 17551, United rb Emirtes ssd@ueu.c.e bstrct The emission of uger electrons from
More informationBEAM DIAGRAMS AND FORMULAS. Nomenclature
BEA DIAGAS AND FOULAS Nomencture E = moduus of esticity of stee t 9,000 ksi I = moment of inerti of em (in. 4 ) L = tot ength of em etween rection points (ft) m = mimum moment (kip-in.) = mimum moment
More informationDepartment of Electrical and Computer Engineering, Cornell University. ECE 4070: Physics of Semiconductors and Nanostructures.
Deprtment of Electricl nd Computer Engineering, Cornell University ECE 4070: Physics of Semiconductors nd Nnostructures Spring 2014 Exm 2 ` April 17, 2014 INSTRUCTIONS: Every problem must be done in the
More informationSUPPLEMENTARY INFORMATION
DOI:.38/NMAT343 Hybrid Elstic olids Yun Li, Ying Wu, Ping heng, Zho-Qing Zhng* Deprtment of Physics, Hong Kong University of cience nd Technology Cler Wter By, Kowloon, Hong Kong, Chin E-mil: phzzhng@ust.hk
More informationPROBLEM deceleration of the cable attached at B is 2.5 m/s, while that + ] ( )( ) = 2.5 2α. a = rad/s. a 3.25 m/s. = 3.
PROLEM 15.105 A 5-m steel bem is lowered by mens of two cbles unwinding t the sme speed from overhed crnes. As the bem pproches the ground, the crne opertors pply brkes to slow the unwinding motion. At
More informationAPPM 1360 Exam 2 Spring 2016
APPM 6 Em Spring 6. 8 pts, 7 pts ech For ech of the following prts, let f + nd g 4. For prts, b, nd c, set up, but do not evlute, the integrl needed to find the requested informtion. The volume of the
More information10 Deflections due to Bending
1 Deflections due to Bending 1.1 The Moment/Curvture Reltion Just s we took the pure bending construction to be ccurte enough to produce useful estimtes of the norml stress due to bending for lodings tht
More informationDIRECT CURRENT CIRCUITS
DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through
More informationPROBLEM SOLUTION
PROLEM 15.11 The 18-in.-rdius flywheel is rigidly ttched to 1.5-in.-rdius shft tht cn roll long prllel rils. Knowing tht t the instnt shown the center of the shft hs velocity of 1. in./s nd n ccelertion
More informationTalen en Automaten Test 1, Mon 7 th Dec, h45 17h30
Tlen en Automten Test 1, Mon 7 th Dec, 2015 15h45 17h30 This test consists of four exercises over 5 pges. Explin your pproch, nd write your nswer to ech exercise on seprte pge. You cn score mximum of 100
More informationList all of the possible rational roots of each equation. Then find all solutions (both real and imaginary) of the equation. 1.
Mth Anlysis CP WS 4.X- Section 4.-4.4 Review Complete ech question without the use of grphing clcultor.. Compre the mening of the words: roots, zeros nd fctors.. Determine whether - is root of 0. Show
More informationBEAM A horizontal or inclined structural member that is designed to resist forces acting to its axis is called a beam
BEM horizontal or inclined structural member that is designed to resist forces acting to its axis is called a beam INTERNL FORCES IN BEM Whether or not a beam will break, depend on the internal resistances
More informationCase (a): Ans Ans. Case (b): ; s 1 = 65(4) Ans. s 1 = pr t. = 1.04 ksi. Ans. s 2 = pr 2t ; s 2 = 65(4) = 520 psi
8 3. The thin-wlled cylinder cn be supported in one of two wys s shown. Determine the stte of stress in the wll of the cylinder for both cses if the piston P cuses the internl pressure to be 65 psi. The
More informationGG303 Lab 6 9/25/12. Components of cross product v2 x v1 N x N y N z. N=v2xv1. Plane trend ( ) Pole N. Plane. Pole N. plunge ( ) strike ( ) dip ( )
1 Lb 6 ROTATIONS (163 pts totl) Eercise 1: Apprent dip problem (24 points totl) 1) An pprent dip of 62 to the southwest is mesured for bedding plne in verticl cross section tht strikes 230 (cll this pprent
More informationWe know that if f is a continuous nonnegative function on the interval [a, b], then b
1 Ares Between Curves c 22 Donld Kreider nd Dwight Lhr We know tht if f is continuous nonnegtive function on the intervl [, b], then f(x) dx is the re under the grph of f nd bove the intervl. We re going
More informationStructural Effect of Thioureas on the Detection of Chemical Warfare Agent Simulants
Structurl Effect of Thioures on the Detection of Chemicl Wrfre Agent Simulnts Seonggyun H, Minhe Lee, Hyun Ook Seo, b Sun Gu Song, Kyung-su Kim, Chn Heum Prk, Il Hee Kim, Young Dok Kim nd Chngsik Song*
More informationMotion. Acceleration. Part 2: Constant Acceleration. October Lab Phyiscs. Ms. Levine 1. Acceleration. Acceleration. Units for Acceleration.
Motion ccelertion Prt : Constnt ccelertion ccelertion ccelertion ccelertion is the rte of chnge of elocity. = - o t = Δ Δt ccelertion = = - o t chnge of elocity elpsed time ccelertion is ector, lthough
More informationMEP Practice Book ES19
19 Vectors M rctice ook S19 19.1 Vectors nd Sclrs 1. Which of the following re vectors nd which re sclrs? Speed ccelertion Mss Velocity (e) Weight (f) Time 2. Use the points in the grid elow to find the
More informationStiffness Reduction Factor for Flat Slab Structures under Lateral Loads
TECHNICAL NOTES Stiffness Reduction Fctor for Flt Slb Structures under Lterl Lods Sng-Whn Hn, Ph.D., P.E. 1 ; Young-Mi Prk 2 ; nd Seong-Hoon Kee 3 Abstrct: Effective bem width model EBWM hs been widely
More informationHere are the graphs of some power functions with negative index y (x) =ax n = a n is a positive integer, and a 6= 0acoe±cient.
BEE4 { Bsic Mthemtics for Economists BEE5 { Introduction to Mthemticl Economics Week 9, Lecture, Notes: Rtionl Functions, 26//2 Hint: The WEB site for the tetbook is worth look. Dieter Blkenborg Deprtment
More informationCHAPTER 6b. NUMERICAL INTERPOLATION
CHAPTER 6. NUMERICAL INTERPOLATION A. J. Clrk School o Engineering Deprtment o Civil nd Environmentl Engineering y Dr. Irhim A. Asskk Spring ENCE - Computtion s in Civil Engineering II Deprtment o Civil
More informationExplain shortly the meaning of the following eight words in relation to shells structures.
Delft University of Technology Fculty of Civil Engineering nd Geosciences Structurl Mechnics Section Write your nme nd study number t the top right-hnd of your work. Exm CIE4143 Shell Anlysis Tuesdy 15
More informationChapter 5 1. = on [ 1, 2] 1. Let gx ( ) e x. . The derivative of g is g ( x) e 1
Chpter 5. Let g ( e. on [, ]. The derivtive of g is g ( e ( Write the slope intercept form of the eqution of the tngent line to the grph of g t. (b Determine the -coordinte of ech criticl vlue of g. Show
More information15. Quantisation Noise and Nonuniform Quantisation
5. Quntistion Noise nd Nonuniform Quntistion In PCM, n nlogue signl is smpled, quntised, nd coded into sequence of digits. Once we hve quntised the smpled signls, the exct vlues of the smpled signls cn
More information2A1A Vector Algebra and Calculus I
Vector Algebr nd Clculus I (23) 2AA 2AA Vector Algebr nd Clculus I Bugs/queries to sjrob@robots.ox.c.uk Michelms 23. The tetrhedron in the figure hs vertices A, B, C, D t positions, b, c, d, respectively.
More informationChapter 4 Contravariance, Covariance, and Spacetime Diagrams
Chpter 4 Contrvrince, Covrince, nd Spcetime Digrms 4. The Components of Vector in Skewed Coordintes We hve seen in Chpter 3; figure 3.9, tht in order to show inertil motion tht is consistent with the Lorentz
More informationShear Force V: Positive shear tends to rotate the segment clockwise.
INTERNL FORCES IN EM efore a structural element can be designed, it is necessary to determine the internal forces that act within the element. The internal forces for a beam section will consist of a shear
More informationIntroduction to statically indeterminate structures
Sttics of Buiding Structures I., EASUS Introduction to stticy indeterminte structures Deprtment of Structur echnics Fcuty of Civi Engineering, VŠB-Technic University of Ostrv Outine of Lecture Stticy indeterminte
More informationKEY CONCEPTS. satisfies the differential equation da. = 0. Note : If F (x) is any integral of f (x) then, x a
KEY CONCEPTS THINGS TO REMEMBER :. The re ounded y the curve y = f(), the -is nd the ordintes t = & = is given y, A = f () d = y d.. If the re is elow the is then A is negtive. The convention is to consider
More informationCS:4330 Theory of Computation Spring Regular Languages. Equivalences between Finite automata and REs. Haniel Barbosa
CS:4330 Theory of Computtion Spring 208 Regulr Lnguges Equivlences between Finite utomt nd REs Hniel Brbos Redings for this lecture Chpter of [Sipser 996], 3rd edition. Section.3. Finite utomt nd regulr
More informationSection 6.1 Definite Integral
Section 6.1 Definite Integrl Suppose we wnt to find the re of region tht is not so nicely shped. For exmple, consider the function shown elow. The re elow the curve nd ove the x xis cnnot e determined
More informationAssignment 1 Automata, Languages, and Computability. 1 Finite State Automata and Regular Languages
Deprtment of Computer Science, Austrlin Ntionl University COMP2600 Forml Methods for Softwre Engineering Semester 2, 206 Assignment Automt, Lnguges, nd Computility Smple Solutions Finite Stte Automt nd
More informationProperties of the Riemann Integral
Properties of the Riemnn Integrl Jmes K. Peterson Deprtment of Biologicl Sciences nd Deprtment of Mthemticl Sciences Clemson University Februry 15, 2018 Outline 1 Some Infimum nd Supremum Properties 2
More informationSuppose we want to find the area under the parabola and above the x axis, between the lines x = 2 and x = -2.
Mth 43 Section 6. Section 6.: Definite Integrl Suppose we wnt to find the re of region tht is not so nicely shped. For exmple, consider the function shown elow. The re elow the curve nd ove the x xis cnnot
More informationAQA Further Pure 1. Complex Numbers. Section 1: Introduction to Complex Numbers. The number system
Complex Numbers Section 1: Introduction to Complex Numbers Notes nd Exmples These notes contin subsections on The number system Adding nd subtrcting complex numbers Multiplying complex numbers Complex
More information8Similarity UNCORRECTED PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.
8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8. re nd volume scle fctors 8. Review U N O R R E TE D P G E PR O O FS 8.1 Kick off with S Plese refer to the Resources t in the Prelims
More informationSTATICS VECTOR MECHANICS FOR ENGINEERS: and Centers of Gravity. Eighth Edition CHAPTER. Ferdinand P. Beer E. Russell Johnston, Jr.
007 The McGrw-Hill Compnies, Inc. All rights reserved. Eighth E CHAPTER 5 Distriuted VECTOR MECHANICS FOR ENGINEERS: STATICS Ferdinnd P. Beer E. Russell Johnston, Jr. Lecture Notes: J. Wlt Oler Tes Tech
More informationAM1 Mathematical Analysis 1 Oct Feb Exercises Lecture 3. sin(x + h) sin x h cos(x + h) cos x h
AM Mthemticl Anlysis Oct. Feb. Dte: October Exercises Lecture Exercise.. If h, prove the following identities hold for ll x: sin(x + h) sin x h cos(x + h) cos x h = sin γ γ = sin γ γ cos(x + γ) (.) sin(x
More informationVerification Analysis of the Slope Stability
Verifiction nul no. 3 Updte 04/016 Verifiction Anlysis of the Slope Stbility Progr: File: Slope Stbility Deo_v_en_03.gst In this verifiction nul you will find hnd-de verifiction nlysis of the stbility
More informationThe heat budget of the atmosphere and the greenhouse effect
The het budget of the tmosphere nd the greenhouse effect 1. Solr rdition 1.1 Solr constnt The rdition coming from the sun is clled solr rdition (shortwve rdition). Most of the solr rdition is visible light
More information( ) Same as above but m = f x = f x - symmetric to y-axis. find where f ( x) Relative: Find where f ( x) x a + lim exists ( lim f exists.
AP Clculus Finl Review Sheet solutions When you see the words This is wht you think of doing Find the zeros Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor Find
More informationCalculus - Activity 1 Rate of change of a function at a point.
Nme: Clss: p 77 Mths Helper Plus Resource Set. Copright 00 Bruce A. Vughn, Techers Choice Softwre Clculus - Activit Rte of chnge of function t point. ) Strt Mths Helper Plus, then lod the file: Clculus
More informationDesigning Information Devices and Systems I Spring 2018 Homework 8
EECS 16A Designing Informtion Devices nd Systems I Spring 2018 Homework 8 This homework is due Mrch 19, 2018, t 23:59. Self-grdes re due Mrch 22, 2018, t 23:59. Sumission Formt Your homework sumission
More informationA - INTRODUCTION AND OVERVIEW
MMJ5 COMPUTATIONAL METHOD IN SOLID MECHANICS A - INTRODUCTION AND OVERVIEW INTRODUCTION AND OVERVIEW M.N. Tmin, CSMLb, UTM MMJ5 COMPUTATIONAL METHOD IN SOLID MECHANICS Course Content: A INTRODUCTION AND
More informationEECS 141 Due 04/19/02, 5pm, in 558 Cory
UIVERSITY OF CALIFORIA College of Engineering Deprtment of Electricl Engineering nd Computer Sciences Lst modified on April 8, 2002 y Tufn Krlr (tufn@eecs.erkeley.edu) Jn M. Rey, Andrei Vldemirescu Homework
More informationDiscussion Introduction P212, Week 1 The Scientist s Sixth Sense. Knowing what the answer will look like before you start.
Discussion Introduction P1, Week 1 The Scientist s Sith Sense As scientist or engineer, uch of your job will be perforing clcultions, nd using clcultions perfored by others. You ll be doing plenty of tht
More informationVersion 001 HW#6 - Circular & Rotational Motion arts (00223) 1
Version 001 HW#6 - Circulr & ottionl Motion rts (00223) 1 This print-out should hve 14 questions. Multiple-choice questions my continue on the next column or pge find ll choices before nswering. Circling
More informationPurpose of the experiment
Newton s Lws II PES 6 Advnced Physics Lb I Purpose of the experiment Exmine two cses using Newton s Lws. Sttic ( = 0) Dynmic ( 0) fyi fyi Did you know tht the longest recorded flight of chicken is thirteen
More informationKINEMATICS OF RIGID BODIES
KINEMTICS OF RIGI OIES Introduction In rigid body kinemtics, e use the reltionships governing the displcement, velocity nd ccelertion, but must lso ccount for the rottionl motion of the body. escription
More information