Dr. M. Medraj Mech. Eng. Dept. - Concordia University Mech 421/6511 lecture 9/2. Die Radius:. and Friction Zone
|
|
|
- Stuart Lang
- 6 years ago
- Views:
Transcription
1 Outline Deep Drawing Deep drawing analysis Other Sheet metalwrking peratins Frmability f Sheet Metal - cupping test - bulge test - frming-limit diagram - tensin tests nrmal anistrpy planar anistrpy Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/1 Sheet metal frming t make cup-shaped, bx-shaped, r ther cmplex-curved, hllw-shaped parts Sheet metal blank is psitined ver die cavity and then punch pushes metal int pening Steps: Initial cntact Bending Straightening Frictin and cmpressin Final shape Deep Drawing Prducts: beverage cans, ammunitin shells, autmbile bdy panels Deep drawing was patented in Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/2 Deep Drawing Deep Drawing: - Variables and Defects Significant Variables Prperties f sheet metal Rati f blank diameter t punch diameter Sheet thickness Clearance between the punch and the die Punch and die and crner radii Blankhlder frce Frictin and lubricatin at the tl/wrkpiece interface Speedf the punch Die Radius:. and Frictin Zne Punch Radius:.. and Frictin Zne Cup Flange: and Frictin Zne Cup Bttm: -. Strain - N Frictin Cup Wall: -.. Zne - Plane Strain -. Frictin Failure results frm thinning f the cup wall Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/3 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/4
2 Deep Drawing: - Variables and Defects During drawing, when the blank mves int the die, cmpressive circumferential stresses are induced in the flange This causes flange t wrinkle Deep Drawing: - Variables and Defects Lw carbn steels exhibit this behavir This prduces lueder s bands (stretch strain marks) These marks can be eliminated by reducing thickness f sheet frm 0.5 % t 1.5 % by cld rlling prcess Eg: try frcing a circular sheet f paper int a drinking glass Die radius t small Punch radius t small Yield-pint elngatin in a sheet-metal specimen Lueder s bands in a lw-carbn steel sheet. Grain size: mechanical prperties and surface appearance are affected by the grain size. The carser the grain the rugher the appearance. (Orange Peeling defect) Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/5 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/6 Mst easily defined fr cylindrical shape: Analysis f Drawing Measure f Drawing: D Drawing rati: Dp Db Dp - Reductin r = feasible if r < 0.5 D b DR = feasible if DR < 2 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/7 b Crude measures f the severity f a deep drawing peratin Drawing Frces: ( ) Db F = πd 0. 7 pt TS Max at 1/3 length Dp Hlding Frce: 2 [ D ( D + 2.2t 2R ) ] 2 F h = 0.015Yπ b p + d Analysis f Drawing Clearance in Drawing: c = 1.1 t where t = stck thickness In ther wrds, clearance = abut 10% greater than stck thickness Thickness-t-Diameter Rati: Thickness-t-diameter rati = t/d b As t/d b decreases, tendency fr. increases Desirable fr t/d b rati t be greater than 1% Blank Size Determinatin: Fr final dimensins f drawn shape t be crrect, starting blank diameter D b must be right Slve fr D b by setting starting sheet metal blank vlume = final prduct vlume T facilitate calculatin, assume negligible thinning f part wall Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/8
3 Shapes ther than Cylindrical Cups Other Sheet Metal Frming n Presses Square r rectangular bxes (as in sinks), Stepped cups, Cnes, Cups with spherical rather than flat bases, Irregular curved frms (as in autmbile bdy panels) Very imprtant cmmercial prcess. Each f these shapes presents its wn unique technical prblems in drawing Makes wall thickness f cylindrical cup mre unifrm Examples: beverage cans and artillery shells Used t create indentatins in sheet, such as raised (r indented) lettering r strengthening ribs.. Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/9 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/10 Other Sheet Metal Frming n Presses Lw tling cst Frm blck can be made f wd, plastic, r ther materials that are easy t shape Rubber pad can be used with different frm blcks Prcess is attractive in small quantity prductin Guerin Prcess Methds fr Reducing the Diameter f Drawn Cups Reverse Redrawing Cnventinal Redrawing.. Redrawing A methd t reduce the diameter f drawn cup Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/11 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/12
4 Hemming Prcess Steps in Manufacturing an Aluminum Can The edge f the sheet is flded ver itself This increases stiffness f the part This methd is nw used in the autmtive industry t jin an uter part and an inner part. The metal strip is bent in stages Defects during hemming: Springback, Fractures and Wrinkels in the flange Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/13 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/14 Frmability f Sheet Metals Bulge Test Erichsen test A cupping test (Erichsen and Olsen tests) t determine the frmability f sheet metals Erichsen number The greater the value f d the greater is the frmability Earliest tests develped Simple t perfrm. indicatr f frmability D nt simulate exact cnditins f actual peratins, WHY? Bulge-test results n steel sheets f varius widths. The specimen farthest left is subjected t, basically, simple tensin. The specimen farthest right is subjected t equal biaxial stretching It has been used extensively t simulate sheet frming peratins Hydraulic pressure is used instead f punch stretch frming withut frictin it is used t btain effective-stress vs. effective-strain curves fr biaxial lading under frictinless cnditins Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/15 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/16
5 Majr Strain and Minr Strain Frming Limit Diagrams The defrmatin f the grid pattern and the tearing f sheet metal during frming. The majr and minr axes f the circles are used t determine the crdinates n the frming-limit diagram. During stretching in sheet metal, Vlume cnstant ε l + ε w + ε t = 0 Majr strain always larger than minr strain Majr strain. than 0 Minr strain can be either psitive, negative r zer Plane strain Minr strain is 0 ε l + ε w + ε t = 0, thus ε l + ε t = 0 Althugh the majr strain is always psitive (stretching), the minr strain may be either psitive r negative r zer Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/17 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/18 Frming-limit Diagrams (FLD) Nrmal Anistrpy Mre a research/develpment tl than a practical (quick) test Time cnsuming t perfrm Represents. frming peratins reasnably well Tensin Tests The mst basic and cmmn test used t evaluate frmability It determines imprtant prperties f the sheet metal such as: - ttal elngatin f the sheet specimen at fracture - strain hardening expnent - the planar anistrpy, and - the nrmal anistrpy Nrmal anistrpy: R = ε w / ε t Remember: ε l + ε w + ε t = 0 Simple tensin, R =1.0 Determines thinning behavir f sheet metals during stretching; imprtant in deep-drawing peratins Tensile tests determine nrmal anistrpy Strains n a tensile-test specimen remved frm a piece f sheet metal. These strains are used in determining the nrmal and planar anistrpy f the sheet metal. Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/19 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/20
6 Average Nrmal Anistrpy Average Nrmal Anistrpy Vs Limiting Drawing Rati R avg = (R 0 + 2R 45 +R 90 )/4 Nrmal anistrpy (R) R 0 R 45 The relatinship between average nrmal anistrpy and the limiting drawing rati fr varius sheet metals Rlling Directin R 90 Limiting Drawing Rati (LDR) = D 0 /D p Where, D 0 : Maximum Blank diameter D p : Punch Diameter Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/21 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/22 Average Nrmal Anistrpy, R avg Typical Range f Average Nrmal Anistrpy, R avg, fr Varius Sheet Metals R avg Zinc allys Ht-rlled steel Cld-rlled rimmed steel Cld-rlled aluminum-killed steel Aluminum allys Cpper and brass Titanium allys (a) Stainless steels High-strength lw-ally steels Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/23 Nrmal anistrpy (R) Rlling Directin Planar Anistrpy (Earing Tendency) R 0 R 90 R 45 Planar anistrpy causes ears t frm in drawn cups When R=0, n ears frm The height f the ears increases as R increases Number f ears: 4, 6, r 8 fr better deep drawability: R avg and R.. and. affect these values. Planar Anistrpy R = (R 0-2R 45 +R 90 )/2 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/24
7 Earing and Planar Anistrpy Effect f Planar Anistrpy n Earing R R R<0 R R 2 R>0 R + R R = 2R R = ε w / ε t Next time: Cntinue Sheet Metal Frming h h Rlling Directin Rlling Directin Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/25 Dr. M. Medraj Mech. Eng. Dept. - Cncrdia University Mech 421/6511 lecture 9/26
Surface and Contact Stress
Surface and Cntact Stress The cncept f the frce is fundamental t mechanics and many imprtant prblems can be cast in terms f frces nly, fr example the prblems cnsidered in Chapter. Hwever, mre sphisticated
GAUSS' LAW E. A. surface
Prf. Dr. I. M. A. Nasser GAUSS' LAW 08.11.017 GAUSS' LAW Intrductin: The electric field f a given charge distributin can in principle be calculated using Culmb's law. The examples discussed in electric
Fundamental concept of metal rolling
Fundamental cncept metal rlling Assumptins 1) Te arc cntact between te rlls and te metal is a part a circle. v x x α L p y y R v 2) Te ceicient rictin, µ, is cnstant in tery, but in reality µ varies alng
Plan o o. I(t) Divide problem into sub-problems Modify schematic and coordinate system (if needed) Write general equations
STAPLE Physics 201 Name Final Exam May 14, 2013 This is a clsed bk examinatin but during the exam yu may refer t a 5 x7 nte card with wrds f wisdm yu have written n it. There is extra scratch paper available.
Chapter 2 GAUSS LAW Recommended Problems:
Chapter GAUSS LAW Recmmended Prblems: 1,4,5,6,7,9,11,13,15,18,19,1,7,9,31,35,37,39,41,43,45,47,49,51,55,57,61,6,69. LCTRIC FLUX lectric flux is a measure f the number f electric filed lines penetrating
Study Guide Physics Pre-Comp 2013
I. Scientific Measurement Metric Units S.I. English Length Meter (m) Feet (ft.) Mass Kilgram (kg) Pund (lb.) Weight Newtn (N) Ounce (z.) r pund (lb.) Time Secnds (s) Secnds (s) Vlume Liter (L) Galln (gal)
CHAPTER 8b Static Equilibrium Units
CHAPTER 8b Static Equilibrium Units The Cnditins fr Equilibrium Slving Statics Prblems Stability and Balance Elasticity; Stress and Strain The Cnditins fr Equilibrium An bject with frces acting n it, but
Chapter-1 Stress and Strain Page- 1. Theory at a Glance (for IES, GATE, PSU)
Chapter-1 Stress and Strain Page- 1 1. Stress and Strain 1.1 Stress (σ) Thery at a Glance (fr IES, GATE, PSU) When a material is subjected t an external frce, a resisting frce is set up within the cmpnent.
5 th grade Common Core Standards
5 th grade Cmmn Cre Standards In Grade 5, instructinal time shuld fcus n three critical areas: (1) develping fluency with additin and subtractin f fractins, and develping understanding f the multiplicatin
3D FE Modeling Simulation of Cold Rotary Forging with Double Symmetry Rolls X. H. Han 1, a, L. Hua 1, b, Y. M. Zhao 1, c
Materials Science Frum Online: 2009-08-31 ISSN: 1662-9752, Vls. 628-629, pp 623-628 di:10.4028/www.scientific.net/msf.628-629.623 2009 Trans Tech Publicatins, Switzerland 3D FE Mdeling Simulatin f Cld
A Study on Pullout Strength of Cast-in-place Anchor bolt in Concrete under High Temperature
Transactins f the 7 th Internatinal Cnference n Structural Mechanics in Reactr Technlgy (SMiRT 7) Prague, Czech Republic, August 7 22, 23 Paper #H-2 A Study n Pullut Strength f Cast-in-place Anchr blt
Thermodynamics and Equilibrium
Thermdynamics and Equilibrium Thermdynamics Thermdynamics is the study f the relatinship between heat and ther frms f energy in a chemical r physical prcess. We intrduced the thermdynamic prperty f enthalpy,
AD / ADR / ADS Series
PEX DYMIS, I. HIGH PREISIO HIGH SPEED PLETRY GERBOX D / DR / DS Series PEX00D/DR/DS SERIES.0ETW Stainless PEX DYMIS, I. D Series Ordering de Ordering de D0 00 P MOTOR Gearbx Size: D0, D0, D090 D0, D0,
CHEM Thermodynamics. Change in Gibbs Free Energy, G. Review. Gibbs Free Energy, G. Review
Review Accrding t the nd law f Thermdynamics, a prcess is spntaneus if S universe = S system + S surrundings > 0 Even thugh S system
NUMBERS, MATHEMATICS AND EQUATIONS
AUSTRALIAN CURRICULUM PHYSICS GETTING STARTED WITH PHYSICS NUMBERS, MATHEMATICS AND EQUATIONS An integral part t the understanding f ur physical wrld is the use f mathematical mdels which can be used t
PHYS 219 Spring semester Lecture 02: Coulomb s Law how point charges interact. Ron Reifenberger Birck Nanotechnology Center Purdue University
PHYS 19 Spring semester 016 Lecture 0: Culmb s Law hw pint charges interact Rn Reifenberger Birck Nantechnlg Center Purdue Universit Lecture 0 1 Earl Develpments in Electrstatics Tw f the ur rces in Nature:
APEX DYNAMICS, INC. Stainless. No. 10, Keyuan 3rd Rd., Situn District, Taichung City 40763, Taiwan (R.O.C.) APEX AE/AER Series - 1.
PEX DYNMIS, IN. HIGH PREISION PLNETRY GERBOX E / ER Series N. 0, Keyuan rd Rd., Situn District, Taichung ity 0, Taiwan (R.O..) PEX-0-09-E/ER Series -.0V Stainless High precisin high speed planetary gearbx
CHEM 2400/2480. Lecture 19
Lecture 19 Metal In Indicatr - a cmpund whse clur changes when it binds t a metal in - t be useful, it must bind the metal less strngly than EDTA e.g. titratin f Mg 2+ with EDTA using erichrme black T
ES201 - Examination 2 Winter Adams and Richards NAME BOX NUMBER
ES201 - Examinatin 2 Winter 2003-2004 Adams and Richards NAME BOX NUMBER Please Circle One : Richards (Perid 4) ES201-01 Adams (Perid 4) ES201-02 Adams (Perid 6) ES201-03 Prblem 1 ( 12 ) Prblem 2 ( 24
Example 1. A robot has a mass of 60 kg. How much does that robot weigh sitting on the earth at sea level? Given: m. Find: Relationships: W
Eample 1 rbt has a mass f 60 kg. Hw much des that rbt weigh sitting n the earth at sea level? Given: m Rbt = 60 kg ind: Rbt Relatinships: Slutin: Rbt =589 N = mg, g = 9.81 m/s Rbt = mrbt g = 60 9. 81 =
14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?
Physics 0 Public Exam Questins Unit 1: Circular Mtin NAME: August 009---------------------------------------------------------------------------------------------------------------------- 1. Which describes
Conceptual Dynamics SDC. An Interactive Text and Workbook. Kirstie Plantenberg Richard Hill. Better Textbooks. Lower Prices.
Cnceptual Dynamics An Interactive Text and Wrkbk Kirstie Plantenberg Richard Hill SDC P U B L I C AT I O N S Better Textbks. Lwer Prices. www.sdcpublicatins.cm Pwered by TCPDF (www.tcpdf.rg) Visit the
Phy 212: General Physics II 1 Chapter 18 Worksheet 3/20/2008
Phy 1: General Physics II 1 hapter 18 rksheet 3/0/008 Thermal Expansin: 1. A wedding ring cmpsed f pure gld (inner diameter = 1.5 x 10 - m) is placed n a persn s finger (diameter = 1.5 x 10 - m). Bth the
14. Which shows the direction of the centripetal force acting on a mass spun in a vertical circle?
Physics 3204 Public Exam Questins Unit 1: Circular Mtin NAME: August 2009---------------------------------------------------------------------------------------------------------------------- 12. Which
Lecture 7 Further Development of Theory and Applications
P4 Stress and Strain Dr. A.B. Zavatsk HT08 Lecture 7 Further Develpment f Ther and Applicatins Hke s law fr plane stress. Relatinship between the elastic cnstants. lume change and bulk mdulus. Spherical
Q1. In figure 1, Q = 60 µc, q = 20 µc, a = 3.0 m, and b = 4.0 m. Calculate the total electric force on q due to the other 2 charges.
Phys10 Secnd Majr-08 Zer Versin Crdinatr: Dr. I. M. Nasser Saturday, May 3, 009 Page: 1 Q1. In figure 1, Q = 60 µc, q = 0 µc, a = 3.0 m, and b = 4.0 m. Calculate the ttal electric frce n q due t the ther
6.3: Volumes by Cylindrical Shells
6.3: Vlumes by Cylindrical Shells Nt all vlume prblems can be addressed using cylinders. Fr example: Find the vlume f the slid btained by rtating abut the y-axis the regin bunded by y = 2x x B and y =
Building to Transformations on Coordinate Axis Grade 5: Geometry Graph points on the coordinate plane to solve real-world and mathematical problems.
Building t Transfrmatins n Crdinate Axis Grade 5: Gemetry Graph pints n the crdinate plane t slve real-wrld and mathematical prblems. 5.G.1. Use a pair f perpendicular number lines, called axes, t define
Aircraft Performance - Drag
Aircraft Perfrmance - Drag Classificatin f Drag Ntes: Drag Frce and Drag Cefficient Drag is the enemy f flight and its cst. One f the primary functins f aerdynamicists and aircraft designers is t reduce
Design and Analysis of Gas Turbine Blade by Potential Flow Approach
V. Vijaya kumar et al Int. Jurnal f Engineering Research and Applicatins RESEARCH ARTICLE OPEN ACCESS Design and Analysis f Gas Turbine Blade by Ptential Flw Apprach V. Vijaya Kumar 1, R. Lalitha Narayana
Chapter 5: Force and Motion I-a
Chapter 5: rce and Mtin I-a rce is the interactin between bjects is a vectr causes acceleratin Net frce: vectr sum f all the frces n an bject. v v N v v v v v ttal net = i = + + 3 + 4 i= Envirnment respnse
Phys101 Final Code: 1 Term: 132 Wednesday, May 21, 2014 Page: 1
Phys101 Final Cde: 1 Term: 1 Wednesday, May 1, 014 Page: 1 Q1. A car accelerates at.0 m/s alng a straight rad. It passes tw marks that are 0 m apart at times t = 4.0 s and t = 5.0 s. Find the car s velcity
Figure 1a. A planar mechanism.
ME 5 - Machine Design I Fall Semester 0 Name f Student Lab Sectin Number EXAM. OPEN BOOK AND CLOSED NOTES. Mnday, September rd, 0 Write n ne side nly f the paper prvided fr yur slutins. Where necessary,
Types of Gear Pg xxx. Spur Gear Teeth is parallel to axis of rotation Can transmit power between parallel shaft The simplest form for gear
[Pg / 2] Gears Objectives. 2. 3. 4. 5. Cmpute the frces exerted n gear teeth as they rtate and transmit pwer. Use apprpriate stress analyses t determine the relatinships amng the applied frces, the gemetry
MECHANICS OF SOLIDS TORSION TUTORIAL 2 TORSION OF THIN WALLED SECTIONS AND THIN STRIPS
MECHANICS OF SOLIDS ORSION UORIAL ORSION OF HIN WALLED SECIONS AND HIN SRIPS Yu shuld judge yur prgress by cmpleting the self assessment exercises. On cmpletin f this tutrial yu shuld be able t d the fllwing.
17 IMPACT PROPERTIES OF COMPOSITES
17 IMPACT PROPERTIES OF COMPOSITES 17-1 Impact resistance is the ability f a material t absrb and dissipate energies under impact r shck lading. The respnse t impact lads ranges frm lcalized damage t ttal
205MPa and a modulus of elasticity E 207 GPa. The critical load 75kN. Gravity is vertically downward and the weight of link 3 is W3
ME 5 - Machine Design I Fall Semester 06 Name f Student: Lab Sectin Number: Final Exam. Open bk clsed ntes. Friday, December 6th, 06 ur name lab sectin number must be included in the spaces prvided at
ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS
ENGINEERING COUNCIL CERTIFICATE LEVEL THERMODYNAMIC, FLUID AND PROCESS ENGINEERING C106 TUTORIAL 5 THE VISCOUS NATURE OF FLUIDS On cmpletin f this tutrial yu shuld be able t d the fllwing. Define viscsity
Stress and Strain. Stresses are three types such as normal (tensile or compressive), shearing (direct or torsional), and bearing stress.
Stress and Strain Stress Stress is defined as frce per unit area. It has the same units as pressure, and in fact pressure is ne special variety f stress. When a bdy is subjected t a set f frces and is
Optimization of blank dimensions to reduce springback in the flexforming process
Journal of Materials Processing Technology 146 (2004) 28 34 Optimization of blank dimensions to reduce springback in the flexforming process Hariharasudhan Palaniswamy, Gracious Ngaile, Taylan Altan ERC
= m. Suppose the speed of a wave on a string is given by v = Κ τμ
Phys101 First Majr-11 Zer Versin Sunday, Octber 07, 01 Page: 1 Q1. Find the mass f a slid cylinder f cpper with a radius f 5.00 cm and a height f 10.0 inches if the density f cpper is 8.90 g/cm 3 (1 inch
Unit code: H/ QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY
Unit 43: Plant and Prcess Principles Unit cde: H/601 44 QCF level: 5 Credit value: 15 OUTCOME 3 - STATIC AND DYNAMIC FLUID SYSTEMS TUTORIAL 3 - VISCOSITY 3 Understand static and namic fluid systems with
APEX DYNAMICS, INC. Stainless
APE DYNAMICS, INC. HIGH PRECISION PLANETARY GEARBO AB / ABR Series Stainless High precisin planetary gearbx AB / ABR series Apex Dynamics, Inc. is the wrld s mst prductive manufacturer f servmtr drive
Problem 1 Known: Dimensions and materials of the composition wall, 10 studs each with 2.5m high
Prblem Knwn: Dimensins and materials f the cmpsitin wall, 0 studs each with.5m high Unknwn:. Thermal resistance assciate with wall when surfaces nrmal t the directin f heat flw are isthermal. Thermal resistance
1. INTRODUCTION. In many polymer processing operations, molten polymers. emerge from dies into a stress field which deforms the
. NTRODUCTON. Histrical ntes f melt spinning prcess n many plymer prcessing peratins, mlten plymers emerge frm dies int a stress field which defrms the melt int a final fabricated shape. This is the case
Electric Current and Resistance
Electric Current and Resistance Electric Current Electric current is the rate f flw f charge thrugh sme regin f space The SI unit f current is the ampere (A) 1 A = 1 C / s The symbl fr electric current
Solution to HW14 Fall-2002
Slutin t HW14 Fall-2002 CJ5 10.CQ.003. REASONING AND SOLUTION Figures 10.11 and 10.14 shw the velcity and the acceleratin, respectively, the shadw a ball that underges unirm circular mtin. The shadw underges
CANKAYA UNIVERSITY FACULTY OF ENGINEERING MECHANICAL ENGINEERING DEPARTMENT ME 313 HEAT TRANSFER
CANKAYA UNIVERSITY FACUTY OF ENGINEERING MECHANICA ENGINEERING DEPARTMENT ME 313 HEAT TRANSFER CHAPTER-3 EXAMPES 1) Cnsider a slab f thicness as illustrated in figure belw. A fluid at temperature T 1 with
Q1. A) 48 m/s B) 17 m/s C) 22 m/s D) 66 m/s E) 53 m/s. Ans: = 84.0 Q2.
Phys10 Final-133 Zer Versin Crdinatr: A.A.Naqvi Wednesday, August 13, 014 Page: 1 Q1. A string, f length 0.75 m and fixed at bth ends, is vibrating in its fundamental mde. The maximum transverse speed
Study Group Report: Plate-fin Heat Exchangers: AEA Technology
Study Grup Reprt: Plate-fin Heat Exchangers: AEA Technlgy The prblem under study cncerned the apparent discrepancy between a series f experiments using a plate fin heat exchanger and the classical thery
Heat Management Methodology for Successful UV Processing on Heat Sensitive Substrates
Heat Management Methdlgy fr Successful UV Prcessing n Heat Sensitive Substrates Juliet Midlik Prime UV Systems Abstract: Nw in 2005, UV systems pssess heat management cntrls that fine tune the exthermic
General Chemistry II, Unit I: Study Guide (part I)
1 General Chemistry II, Unit I: Study Guide (part I) CDS Chapter 14: Physical Prperties f Gases Observatin 1: Pressure- Vlume Measurements n Gases The spring f air is measured as pressure, defined as the
SPH3U1 Lesson 06 Kinematics
PROJECTILE MOTION LEARNING GOALS Students will: Describe the mtin f an bject thrwn at arbitrary angles thrugh the air. Describe the hrizntal and vertical mtins f a prjectile. Slve prjectile mtin prblems.
Chapter 4. Unsteady State Conduction
Chapter 4 Unsteady State Cnductin Chapter 5 Steady State Cnductin Chee 318 1 4-1 Intrductin ransient Cnductin Many heat transfer prblems are time dependent Changes in perating cnditins in a system cause
Simulation of the effect of DIE Radius on Deep Drawing Process
Simulation the effect DIE Radius on Deep Drawing Process Kopanathi Gowtham, K.V.N.S. Srikanth & K.L.N. Murty CAD-CAM, Dept. Mechanical Engineering, Godavari Institute Engg. & Tech., Rajahmundry, India
Phys101 Second Major-061 Zero Version Coordinator: AbdelMonem Saturday, December 09, 2006 Page: 1
Crdinatr: AbdelMnem Saturday, December 09, 006 Page: Q. A 6 kg crate falls frm rest frm a height f.0 m nt a spring scale with a spring cnstant f.74 0 3 N/m. Find the maximum distance the spring is cmpressed.
Kirchhoff Hypothesis. MER452: Composite Materials
Kirchhff Hpthesis MER45: Cmpsite Materials 1 Cmpsite Design Eperimental Data STRUCTURE CONSTITUENTS COMPOSITE Micr Mechanics STRUCTURAL ELEMENT ELEMENTARY STRUCTURE Finite Element Analsis E E G Classical
A mathematical model for complete stress-strain curve prediction of permeable concrete
A mathematical mdel fr cmplete stress-strain curve predictin f permeable cncrete M. K. Hussin Y. Zhuge F. Bullen W. P. Lkuge Faculty f Engineering and Surveying, University f Suthern Queensland, Twmba,
Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals of Diffusion
Materials Engineering 272-C Fall 2001, Lecture 7 & 8 Fundamentals f Diffusin Diffusin: Transprt in a slid, liquid, r gas driven by a cncentratin gradient (r, in the case f mass transprt, a chemical ptential
1 The limitations of Hartree Fock approximation
Chapter: Pst-Hartree Fck Methds - I The limitatins f Hartree Fck apprximatin The n electrn single determinant Hartree Fck wave functin is the variatinal best amng all pssible n electrn single determinants
. (7.1.1) This centripetal acceleration is provided by centripetal force. It is directed towards the center of the circle and has a magnitude
Lecture #7-1 Dynamics f Rtatin, Trque, Static Equilirium We have already studied kinematics f rtatinal mtin We discussed unifrm as well as nnunifrm rtatin Hwever, when we mved n dynamics f rtatin, the
Chapter 6. Dielectrics and Capacitance
Chapter 6. Dielectrics and Capacitance Hayt; //009; 6- Dielectrics are insulating materials with n free charges. All charges are bund at mlecules by Culmb frce. An applied electric field displaces charges
Name: Period: Date: ATOMIC STRUCTURE NOTES ADVANCED CHEMISTRY
Name: Perid: Date: ATOMIC STRUCTURE NOTES ADVANCED CHEMISTRY Directins: This packet will serve as yur ntes fr this chapter. Fllw alng with the PwerPint presentatin and fill in the missing infrmatin. Imprtant
Kinematic transformation of mechanical behavior Neville Hogan
inematic transfrmatin f mechanical behavir Neville Hgan Generalized crdinates are fundamental If we assume that a linkage may accurately be described as a cllectin f linked rigid bdies, their generalized
Outline. Tensile-Test Specimen and Machine. Stress-Strain Curve. Review of Mechanical Properties. Mechanical Behaviour
Tensile-Test Specimen and Machine Review of Mechanical Properties Outline Tensile test True stress - true strain (flow curve) mechanical properties: - Resilience - Ductility - Toughness - Hardness A standard
Course Stabilty of Structures
Curse Stabilty f Structures Lecture ntes 2015.03.06 abut 3D beams, sme preliminaries (1:st rder thery) Trsin, 1:st rder thery 3D beams 2:nd rder thery Trsinal buckling Cupled buckling mdes, eamples Numerical
Chapter 11: Atmosphere
Chapter 11: Atmsphere Sectin 1: Atmspheric Basics Objectives 1. Describe the cmpsitin f the atmsphere. 2. Cmpare and cntrast the varius layers f the atmsphere. 3. Identify three methds f transferring energy
Module 4: General Formulation of Electric Circuit Theory
Mdule 4: General Frmulatin f Electric Circuit Thery 4. General Frmulatin f Electric Circuit Thery All electrmagnetic phenmena are described at a fundamental level by Maxwell's equatins and the assciated
Activity 2 Dimensional Analysis
Activity 2 Dimensinal Analysis Gals! Develp cnversin factrs frm cmmn equalities.! Use cnversin factrs t cnvert between different units f measure.! Apply the cncept f dimensinal analysis t string tgether
CHAPTER 4 Dynamics: Newton s Laws of Motion /newtlaws/newtltoc.html
CHAPTER 4 Dynamics: Newtn s Laws f Mtin http://www.physicsclassrm.cm/class /newtlaws/newtltc.html Frce Newtn s First Law f Mtin Mass Newtn s Secnd Law f Mtin Newtn s Third Law f Mtin Weight the Frce f
7 TH GRADE MATH STANDARDS
ALGEBRA STANDARDS Gal 1: Students will use the language f algebra t explre, describe, represent, and analyze number expressins and relatins 7 TH GRADE MATH STANDARDS 7.M.1.1: (Cmprehensin) Select, use,
In the half reaction I 2 2 I the iodine is (a) reduced (b) oxidized (c) neither of the above
6.3-110 In the half reactin I 2 2 I the idine is (a) reduced (b) xidized (c) neither f the abve 6.3-120 Vitamin C is an "antixidant". This is because it (a) xidizes readily (b) is an xidizing agent (c)
Equilibrium of Stress
Equilibrium f Stress Cnsider tw perpendicular planes passing thrugh a pint p. The stress cmpnents acting n these planes are as shwn in ig. 3.4.1a. These stresses are usuall shwn tgether acting n a small
ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION. Instructions: If asked to label the axes please use real world (contextual) labels
ANSWER KEY FOR MATH 10 SAMPLE EXAMINATION Instructins: If asked t label the axes please use real wrld (cntextual) labels Multiple Chice Answers: 0 questins x 1.5 = 30 Pints ttal Questin Answer Number 1
Q1. A string of length L is fixed at both ends. Which one of the following is NOT a possible wavelength for standing waves on this string?
Term: 111 Thursday, January 05, 2012 Page: 1 Q1. A string f length L is fixed at bth ends. Which ne f the fllwing is NOT a pssible wavelength fr standing waves n this string? Q2. λ n = 2L n = A) 4L B)
EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017
OBJECTIVES 1. Ft Pressure EXAM #1 PHYSICAL SCIENCE 103 FALLF, 2017 Determine the surface area f an bject. Given the weight and surface area, calculate the pressure. 2. Measuring Vlume & Mass Prvided a
Stage 6 PROMPT sheet. 2 > -2 We say 2 is bigger than -2-2 < 2 We say -2 is less than 2. 6/2 Negative numbers. l l l l l l l
Stage 6 PROMPT sheet 6/ Place value in numbers t 0millin The psitin f the digit gives its size Ten millins Millins Hundred thusands Ten thusands thusands hundreds tens units 4 5 6 7 8 Example The value
MATHEMATICS SYLLABUS SECONDARY 5th YEAR
Eurpean Schls Office f the Secretary-General Pedaggical Develpment Unit Ref. : 011-01-D-8-en- Orig. : EN MATHEMATICS SYLLABUS SECONDARY 5th YEAR 6 perid/week curse APPROVED BY THE JOINT TEACHING COMMITTEE
CHAPTER 3 INEQUALITIES. Copyright -The Institute of Chartered Accountants of India
CHAPTER 3 INEQUALITIES Cpyright -The Institute f Chartered Accuntants f India INEQUALITIES LEARNING OBJECTIVES One f the widely used decisin making prblems, nwadays, is t decide n the ptimal mix f scarce
MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b
![MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b](/thumbs/78/78051685.jpg "MODULE 1. e x + c. [You can t separate a demominator, but you can divide a single denominator into each numerator term] a + b a(a + b)+1 = a + b")
. REVIEW OF SOME BASIC ALGEBRA MODULE () Slving Equatins Yu shuld be able t slve fr x: a + b = c a d + e x + c and get x = e(ba +) b(c a) d(ba +) c Cmmn mistakes and strategies:. a b + c a b + a c, but
On the critical radius in sheet bending
On the critical radius in sheet bending Kals, J.A.G.; Veenstra, P.C. Published: 1/1/1974 Dcument Versin Publisher s PDF, als knwn as Versin f Recrd (includes final page, issue and vlume numbers) Please
2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS
2004 AP CHEMISTRY FREE-RESPONSE QUESTIONS 6. An electrchemical cell is cnstructed with an pen switch, as shwn in the diagram abve. A strip f Sn and a strip f an unknwn metal, X, are used as electrdes.
Lecture 2: Quenching. Plan. the most likely cause of death for a superconducting magnet. the quench process. decay times and temperature rise
Lecture : Quenching Plan the quench prcess decay times and temperature rise the mst likely cause f death fr a supercnducting magnet prpagatin f the resistive zne resistance grwth and decay times quench
Kinetics of Particles. Chapter 3
Kinetics f Particles Chapter 3 1 Kinetics f Particles It is the study f the relatins existing between the frces acting n bdy, the mass f the bdy, and the mtin f the bdy. It is the study f the relatin between
Physics 212. Lecture 12. Today's Concept: Magnetic Force on moving charges. Physics 212 Lecture 12, Slide 1
Physics 1 Lecture 1 Tday's Cncept: Magnetic Frce n mving charges F qv Physics 1 Lecture 1, Slide 1 Music Wh is the Artist? A) The Meters ) The Neville rthers C) Trmbne Shrty D) Michael Franti E) Radiatrs
Measurement of Radial Loss and Lifetime. of Microwave Plasma in the Octupo1e. J. C. Sprott PLP 165. Plasma Studies. University of Wisconsin DEC 1967
Measurement f Radial Lss and Lifetime f Micrwave Plasma in the Octup1e J. C. Sprtt PLP 165 Plasma Studies University f Wiscnsin DEC 1967 1 The number f particles in the tridal ctuple was measured as a
Chapter One. Matter and Energy - Chemistry the study of matter and its changes the "central science" Natural Laws
Chapter One Matter and Measurement http://www.chemistry.armstrng.edu/ nivens/curse_list.htm OWL HOMEWORK REQUIRED!!! Matter and Energy - Chemistry the study f matter and its changes the "central science"
Transactions on Engineering Sciences vol 19, 1998 WIT Press, ISSN
Transactins n Engineering Sciences vl 19, 1998 WIT Press, www.witpress.cm, ISSN 1743-3533 Fatigue life and cyclic elastic-plastic strain behaviur ahead f ntch f ntched specimen under cyclic plane bending
SAFE HANDS & IIT-ian's PACE EDT-04 (JEE) Solutions
ED- (JEE) Slutins Answer : Optin () ass f the remved part will be / I Answer : Optin () r L m (u csθ) (H) Answer : Optin () P 5 rad/s ms - because f translatin ωr ms - because f rtatin Cnsider a thin shell
Phys102 Second Major-102 Zero Version Coordinator: Al-Shukri Thursday, May 05, 2011 Page: 1
Crdinatr: Al-Shukri Thursday, May 05, 2011 Page: 1 1. Particles A and B are electrically neutral and are separated by 5.0 μm. If 5.0 x 10 6 electrns are transferred frm particle A t particle B, the magnitude
Math Foundations 10 Work Plan
Math Fundatins 10 Wrk Plan Units / Tpics 10.1 Demnstrate understanding f factrs f whle numbers by: Prime factrs Greatest Cmmn Factrs (GCF) Least Cmmn Multiple (LCM) Principal square rt Cube rt Time Frame
ECE 5318/6352 Antenna Engineering. Spring 2006 Dr. Stuart Long. Chapter 6. Part 7 Schelkunoff s Polynomial
ECE 538/635 Antenna Engineering Spring 006 Dr. Stuart Lng Chapter 6 Part 7 Schelkunff s Plynmial 7 Schelkunff s Plynmial Representatin (fr discrete arrays) AF( ψ ) N n 0 A n e jnψ N number f elements in
Q x = cos 1 30 = 53.1 South
Crdinatr: Dr. G. Khattak Thursday, August 0, 01 Page 1 Q1. A particle mves in ne dimensin such that its psitin x(t) as a functin f time t is given by x(t) =.0 + 7 t t, where t is in secnds and x(t) is
Analysis of axisymmetric cup forming of metal foil and micro hydroforming process
University of Wollongong Research Online Faculty of Engineering and Information Sciences - Papers: Part A Faculty of Engineering and Information Sciences 3 Analysis of axisymmetric cup forming of metal
Fibre-reinforced plastic composites Declaration of raw material characteristics Part 5: Additional requirements for core materials
CEN/TC 249 N494 Date: 2010-02 pren xxx-5:2010 CEN/TC 249 Secretariat: NBN Fibre-reinfrced plastic cmpsites Declaratin f raw material characteristics Part 5: Additinal requirements fr cre materials Einführendes
Chapters 29 and 35 Thermochemistry and Chemical Thermodynamics
Chapters 9 and 35 Thermchemistry and Chemical Thermdynamics 1 Cpyright (c) 011 by Michael A. Janusa, PhD. All rights reserved. Thermchemistry Thermchemistry is the study f the energy effects that accmpany
PHYS 314 HOMEWORK #3
PHYS 34 HOMEWORK #3 Due : 8 Feb. 07. A unifrm chain f mass M, lenth L and density λ (measured in k/m) hans s that its bttm link is just tuchin a scale. The chain is drpped frm rest nt the scale. What des
Lecture 13: Electrochemical Equilibria
3.012 Fundamentals f Materials Science Fall 2005 Lecture 13: 10.21.05 Electrchemical Equilibria Tday: LAST TIME...2 An example calculatin...3 THE ELECTROCHEMICAL POTENTIAL...4 Electrstatic energy cntributins
Lecture 24: Flory-Huggins Theory
Lecture 24: 12.07.05 Flry-Huggins Thery Tday: LAST TIME...2 Lattice Mdels f Slutins...2 ENTROPY OF MIXING IN THE FLORY-HUGGINS MODEL...3 CONFIGURATIONS OF A SINGLE CHAIN...3 COUNTING CONFIGURATIONS FOR
Name: Period: Date: BONDING NOTES ADVANCED CHEMISTRY
Name: Perid: Date: BONDING NOTES ADVANCED CHEMISTRY Directins: This packet will serve as yur ntes fr this chapter. Fllw alng with the PwerPint presentatin and fill in the missing infrmatin. Imprtant terms