Tolerancing in ISO International tolerance (IT) Grades Metric preferred hole based system of fits Minimum hole size is the basic size Limit form vs. note form tolerancing Hole Tolerance = .025 Shaft Tolerance = .016 Loosest fit = 40.025-39.975 = .050 Tightest fit = 40.000 – 39.991 = .009 Metric Tolerances-Standard representation • If limits are shown up and down, largest limit up • If shown side by side, smallest limit first • For angular dimensions, it can be in general note or it can be mentioned similar to that of linear dimensions Basic hole and shaft system-Imperial size Shaft Basis Fit Hole Basis Fit Smallest hole .500 Interference fit Clearance fit Basic Size .500 Largest shaft .500 Interference fit Clearance fit • Hole Basis fit: the basic size is the minimum dia of the hole and fit is calculated based on this • Shaft Basis fit: the basic size is the maximum dia of the shaft and the fit is calculated base on this Example – Run Fit 0.500 is the lower limit hole 0.496 is the upper limit shaft 0.004 is the ALLOWANCE .503 .500 .496 .493 0.496 is the upper limit shaft 0.003 is the shaft tolerance 0.493 is the LOWER LIMIT SHAFT 0.500 is the lower limit hole 0.003 is the hole tolerance 0.503 is the UPPER LIMIT HOLE 0.500 is the smallest hole 0.496 is the largest shaft 0.004 is the tightest fit 0.503 is the largest hole 0.493 is the smallest shaft 0.10 is the loosest fit Geometric tolerancing • Used to limit the abatement in the geometric or positional variation of features Total flatness tolerance, .05inch. This entire tolerance zone may move up and down within the size tolerance zone Total height tolerance .2 inches Flatness tolerance indication in drawing Example of feature control frames Geometric tolerance symbol (Parallelism) Geometric tolerance value Size dimension Reference Datum Geometric tolerance symbol (Roundness) Geometric tolerance value Dimensioning and tolerancing symbols Straightness of the axis Roundness Cylindricity Drawing with GT - Example Machine elements Fasteners, gears, bearings, welding MECHANICAL ENGINEERING DRAWING MECH 211 Content of the lecture • Machine elements and standards • Non-permanent fasteners – bolts and screws • Features, representation, assembly representation and note • Other non-permanent fasteners • Permanent fasteners – rivets, joining through soldering, brazing and welding • Springs • Assembly drawings • Machine elements: gears, cams, bearings, etc. • Examples of mechanisms and representations Fasteners • Use to join two or more components • Two major categories: • Non-permanent fastening methods • Permanent fastening methods • The Boeing 747 has 2.5 million fasteners! Non-permanent fasteners • Bolts and nuts, machine screws, studs, pins, rings, keys, etc. • An assembly could be disassembled without destroying the fastener or a part of the assembly Bolts, nuts and machine screws • Used to assemble machine parts through the friction obtained in a helical groove made on two conjugated parts • The threads are cut or rolled in a blank of material (metal) while the conjugate part moves axially on the thread when turned • Bolts and nuts must have the same geometric features in order to be mated. Screw and thread terminology • Screw Thread - A ridge of uniform section in the form of a helix on the external or internal surface of a cylinder. • Major Diameter - The largest diameter of a screw thread. • Minor Diameter - The smallest diameter of a screw thread. Screw and thread terminology • Axis – the longitudinal center line of the original work (blank) or hole • Chamfer – the angular relief at the beginning or end of the thread to allow easier engagement with the mating part • Crest – the peak of the top of a thread • Depth – the distance between the crest and the root Screw and thread terminology • Die – the tool used to perform external threads • External thread – the screw thread on the outside of a cylindrical surface • Internal thread – the screw thread on the inside of a cylindrical surface • Lead – the distance that a screw will travel along the axis when turned by 360° Screw and thread terminology • Pitch – the distance between corresponding points on adjacent thread forms, measured parallel to the axis expressed in 1 divided by the number of pitch in one inch • Pitch diameter – the diameter of an imaginary cylinder that is located equidistant between the major and the minor diameter Screw and thread terminology • Root – the bottom of the screw thread cut in a cylinder • Tap – the tool used to thread holes • Thread angle – the angle between the surfaces of two adjacent threads • Thread series – the number of threads per inch for a given diameter Thread specifications – imperial system • ANSI Y14.6 - 1998 • Thread form • Thread series • Major diameter • Class of fit • Threads per inch Form • Shows some common thread forms • Inch & Metric have same proportion • Sharp V was original american national thread • American national now has flattened root and crest to increase strength • Unified thread is agreed as standard in US, Canada and Britain, the crest may be flat or rounded but the root is rounded. Otherwise similar to American national Form • ISO Metric is the most common of all the depth is smaller than that of unified national thread • Knuckle thread is rolled or cast (used in light bulbs and sockets) • Square and Acme threads are used for transmitting power • Buttress thread takes pressure on one side ( to the axis) Motion and measurement screws Controls and positioning applications Measuring thread pitch • Pitch is the distance parallel to axis between corresponding points in adjacent thread • Pitch is measured in millimeters for metric thread and indicated along with the major dia (eg. M10 X 1.5) • For inch threads, it is mentioned as threads per inch • Thread Pitch is measured with scale or a thread pitch gage Series • Series depends on the pitch and the major dia of the thread • Coarse series – used for quick assembly and disassembly of cast iron, soft metals and plastics (UNC) – Less TPI • Fine series – used when a great deal of force is necessary for assembly (UNF) - More TPI • Extra fine series – used when the length of engagement is short and the application calls for high degrees of stress (UNEF) – Lot of TPI Series • If it is not stated in the drawing, it is always assumed to be right hand thread • A bolt threaded into a tapered hole should be turned clockwise • Some special cases (where the torque may loosen the fastener) may require Left hand threads • If Left hand threads are necessary it is indicated in the drawing by the letters LH after the thread designation Single and multiple thread forms Number of starts of a thread • If it is not stated in the drawing, it is always assumed to be single thread • Single thread has a single ridge in the form of helix and lead = pitch • Multiple threads have 2 or more ridges running side by side • . • The slope line is the hypotenuse of the right triangle whose short side = .5P for single thread and p for double and 1.5 P for triple threads • Multiple threads are required when small rotation must gives faster movement at low required power (Eg. Toothpaste caps ) Thread Symbols • Can use, simple, schematic or detailed as needed. Simplified is common • Detailed is more pleasing, so for major dias >1” detailed is preferred Class of fit • Class 1 A an B – a loose fit where quick assembly is required and play between parts is acceptable • Class 2 A and B – a high quality general purpose commercial class of fit for bolts, nuts and screws used in mass production • Class 3 A and B – a very high quality threaded fasteners with a close fit used for precision assembly subjected to vibrations • A is for external threads and B is for internal threads Thread notes How to represent a thread ISO representation of threads • Thread form symbol – M • Nominal size – in mm • Pitch size – in mm • General purpose tolerance – a tolerance class that includes a tolerance position and a tolerance grade for both pitch diameter and minor diameter Basic metric thread note Complete threading - metric system • The number of the tolerance grades reflects the size of the tolerance • For example, grade 4 < grade 6 < grade 8 tolerances • In addition to the tolerance grade, a positional tolerance is required • For external threads: • Tolerance position e (large allowance) • Tolerance position g (small allowance) • Tolerance position h (no allowance) • For internal threads: • Tolerance position G (small allowance) • Tolerance position H (no allowance) Bolts, nuts and screws Bolts, nuts and screws • Large variety of bolts (dimensional, head shape, etc.) • Material, quality, finishing • Grade Bolts, nuts and screws • Unfinished bolts are not machined anywhere except for the thread portion • Finished bolts have machined face for washer holding or flush location on parts Fastener locking Fastener locking Castellated nut Jam nut Durlock nut Standard Cap Screws • 5 different capscrews shown. Socket head can have different shapes of head and sockets • Sued in machines to pass through clearance hole to screw into another and improve appearance • Socket screws are used while in crowded condition Part representation height th_height Dia"-XXUNY-2A hexsize Part representation machine screw height th_height Dia"-XXUNY-2A Assembly representation Assembly representation Assembly representation Assembly representation Assembly representation Assembly representation Other non-permanent fasteners • Clips, rings, pins, etc. Other non-permanent fasteners • Clips, rings, pins, etc. Permanent fasteners • Once assembled, the parts of the assembly (including the fastener) would be destroyed to disassemble the assembly. • Rivets, soldering, brazing, welding Rivets • Used to permanently fasten mechanical components Riveting process Fastening with rivets The headless end of the rivet is plastically deformed such that keeps together two components Fastening with rivets Fastening with rivets Fastening with rivets Fastening with rivets Fastening with rivets Fastening with rivets Common riveted joints Self piercing rivets Blind rivets Soldering, brazing, welding • Joining of two part using a third component – filler that joins the parts when in liquid state • Soldering and brazing – low temperature binding materials – Sn-Pb, Cu-Ag alloys • Limited capability to face thermo-mechanical loading Welding • Very well regulated activity • It requires license to practice • Welders bear significant responsibility • The activity is based on rigorous rules and regulations • Designer prescribe welding based on mechanics of materials calculations • Symbols indicate the type of welding Basic welding symbol Springs • Designed to store energy when deflected and return the same amount of energy when released • Basically divided as Helical and Flat springs • Helical springs are sub divided as – Compression Springs – Extension Springs – Torsion Springs Helical Springs Compression, Extension & Torsion Machine elements gears, bearings Lecture 11 MECHANICAL ENGINEERING DRAWING MECH 211 • Exam is on the 6th of December 2012 • Course evaluation is online – Do not forget to do it from your myconcordia portal – Important means to convey your thoughts about course • Lecture 12 - Case Study and Make up lecture • Held at the same time (8.45 AM to 11.30 AM) on Monday the 3rd of December 2012 Machine elements Machine elements • Used to transmit power or support elements that transmit power • Gears, belts/pulleys, chain/sprockets, cams/followers • Shafts, bearings • Springs, ratchets, clutches, brakes Gears Gear and pinion mechanisms – power transmission Between two close-positioned shafts Gears • The profile of the tooth is a portion of an involute (the curve generated by a line that rolls without sliding on a circle) Gears • Meshing require the same geometry of the teeth • The rule of meshing – the transmission ratio i Gears Gears • Pressure angle is the direction of the transmitted force versus the normal to the center line Gears nomenclature Gears representation A table containing cutting data must accompany the representation This gear is not sectioned unless something inside should be shown Gears representation A table containing cutting data must accompany the representation Gears representation Gears • Rack representation (the cutting data is included) • Transmission of liner motion to circular or vice versa Worm and gear • Worm and Gear representation • Transmission of motion between out of plane, perpendicular axes Bevel gear assembly • Bevel Gear representation • Transmission of motion between in plane, perpendicular axes Gears Cams and followers Clutches Reduce the high stress when power is coupled to an idle shaft Bearings Ball and roller bearings Ball and roller bearings Example of mechanisms Example of mechanisms Example of mechanisms Example of mechanisms Example of mechanisms WORKING DRAWINGS Lecture 11 Production and Assembly Documentation Technical Data Presentation Content of the lecture • Design process • Technical documentation • Working drawings • Assembly working drawings • Component working drawing • Title block • Modifications and revisions • How to simplify the design process • Checklist of a good design • Technical data presentation Technical documentation • Developed for a new product • Includes working drawings apart from calculations, technology details, assembly scheme, etc. • Working drawings include: • Assembly working drawings • Component working drawing • Component working drawings for the same part may look different for different processes Working drawings • One working drawing is made for each nonstandard component • All the necessary information to carry out manufacturing must be contained within the drawing • Recommendation: use a reference (textbook) when draw a working drawing • Assembly working drawing contain the necessary information to perform the assembly of the system Working drawings Working drawings Working drawings Working drawings Working Drawings • Includes assembly and detailed specs for manufacture • Neatly made and checked • Working drawings of individual parts is called detail drawing • Details of individual parts may be drawn on single sheet or in many sheets (one sheet per part), and assembly drawing done on separate bigger sheet • If drawn on single sheet, space must be considered for dimensions and notes as well Detail Drawings • In a detailed drawing of an assembly, the part name and the detail number are located within the drawing area Drawing Form • A drawing must match a certain format • The scale should be selected to make sure that the component would fit the format • A preliminary evaluation should be performed before the drawing is completed • Take into consideration the space for dimensions Drawing Form back Refer front inside cover of the book for details Drawing Form Ion Stiharu Title blocks and drawing numbers • Used to record important information and keep track of the parts a) Name and address of the company b) Title of the drawing c) Drawing number d) Names of the designers and date of completion e) Design approval f) Additional approval g) Predominant drawing scale h) Supply code for manufacturers i) Drawing sheet side letter designation j) Actual or estimated weight of the item Title blocks and drawing numbers • Drawing Numbers - all drawing should be numbered (lower right or upper left corner of sheet) with serial numbers indicating functionality of component or model No. of machine • Bill of Materials BOM consists of itemized list of parts shown on a detail or assembly drawing • This is done above the title strip (numbered upward) or on separate sheet • It has the part numbers, title, Qty, material and other relevant info Modifications and Revisions • Revisions are required due to changes in design. So to keep track of all the modification, revisions need to be numbered and maintained • The track of modifications is kept on the drawing (some new approaches are applied on CAD) • If changes are considerable, new drawing is made with OBSOLETE stamped on old How to simplify the design process 1. Use text description whenever possible to eliminate drawing completely. 2. Use text description whenever practical to eliminate projected views. 3. Eliminate views where the shape can be given by description e.g. HEX, SQ, DIA, 4. Show partial views of symmetrical objects. 5. Avoid elaborate, pictorial or repetitive detail. How to simplify the design process 6. When necessary to detail threads, do not show them over the whole length. 7. Eliminate detail of nuts, bolt heads, and other standard parts. Show outlines and position only. 8. Reduce detail of parts on assembly drawing. 9. Avoid unnecessary hidden lines that add no clarification. 10. Use sectioning only when it is necessary for the clarity of the drawing. How to simplify the design process 11. Simplify graphics for holes and tapped holes by use of the symbols. 12. Omit views with no dimensional or written instruction. 13. Within limits, a small drawing is usually easier and quicker to make than a large one. 14. When two parts are slightly different, complete graphical representation of both parts is not required. The note: SAME AS EXCEPT …….. Or OTHERWISE SAME AS …. may be given. How to simplify the design process 15. Drawings made to modify stock or commercial parts should be as plain as possible. Avoid detail. 16. Use standard abbreviations whenever possible. 17. Whenever necessary, enlarge small details on larger parts for clarity. 18. Draw small parts large enough to avoid crowding so they may be easy to read, but not unnecessarily too large to ware space on the drawing. 19. Do not duplicate dimensions. How to simplify the design process 20. Substitute recognized standard symbols, to simplify greatly the drawing of common objects. 21. Eliminate repetitive data by use of general notes. 22. When drafting, do so much free-hand drawing as the work permits, in preference to using instruments. 23. Where practical, use geometric symbols instead of notes. 24. Where acceptable, give rectangular coordinate or tabular dimensioning instead of dimension lines. Assembly Drawing • Assembly drawing shows how each component is positioned with respect to the others • Each component should be identified and listed in a parts list • General assembly - gives a general graphic description of the shape • Sectioned assembly - shows the hidden features and their interdependence • Installation or outline assembly - indicates how the parts, shown separated, are assembled • Pictorial assembly - usually isometric, indicates how the parts, shown separated, are assembled General Assembly Drawing Detail drawing of a automobile connecting rod General Assembly Drawing Assembly drawing of a automobile connecting rod The purpose is relation ship between parts in assembly than individual shape. Minimum number of views must be used. Here one view is enough to show the relationship This is also called a sub-assembly because this forms a part of the bigger assembly Sectional Assembly Drawing In order to avoid hidden lines (common due to interaction of many components in assembly) sectioning is done to improve clarity Assembly drawing of a Grinder The purpose is relation ship between parts in assembly than individual shape. Minimum number of views must be used. Here (only) two views are needed to show the relationship Sectional Assembly Drawing • To distinguish parts, section lines are drawn in different directions • Change of angle (not 45°) may be done if needed • Thin materials like gaskets are shown as thick lines in section • Standard practice is not to section bolts, shafts, even though section lines pass through them Outline Assembly Drawing • Made specifically to show how to install or erect a machine • This is also called installation assembly • It outline the relationships of exterior surfaces Outline Assembly Drawing • In aircraft drafting, installation assembly gives complete information for placing details of sub assemblies in their final positions in airplane Pictorial Assembly Drawing • Made specifically to show how to install or erect a machine • Here use of isometric views to show separated parts that need to assembled Pictorial Assembly Drawing Pictorial Assembly Drawing Pictorial Assembly Drawing Pictorial Assembly Drawing Tabular drawing (catalog) Is one on which the dimension are replaced by letters, and accompanying table lists the corresponding dimensions for a series of sizes • Thus one drawing serves for a range of sizes covered. • But there is a serious risk of misreading the table. Standardized drawing To avoid misreading of tables as in tabular drawing, yet simplify drawing process • Drawing is made without dimensioned • Copied by any methods • Dimensions filled accordingly Checklist for a good design 1. Is the drawing easy to read? 2. Are the part outlines distinct from dimension lines? 3. Is the lettering neat and clear? 4. Is all of the information on the drawing? 5. Will the drawing make a good print? 6. Have all the rules of standard drafting practices been followed? Checklist for a good design 7. Is the nomenclature correct? Will anyone understand it the same way? 8. Is the drawing title truly descriptive? 9. Are all the necessary views given? 10. Are all the dimensions shown? 11. Are dimensions which are given twice? 12. Are all the notes properly located? 13. Could any of the notes be misunderstood? Checklist for a good design 14. Does the parts agree with the list? 15. Are the standard parts specified correctly? 16. Is the scale designated? 17. Are the finishes specified in the drawing? 18. Is heat treatment recommended? 19. Have standard manufacturing processes been followed? 20. Can the part be produced simpler and more economic? Checklist for a good design 21. Are the materials specified? 22. Are the standard parts used to the maximum extent? 23. Are the suppliers for the standard parts indicated? 24. The design is yours. Are you ready to approve it? Technical data presentation • Technical communication require enhanced ways to convey data and numerical information MAG(TREN) PHASE(TREN) IMAG 26.1287 26.1288 25.64784981 28.95132643 31.40878786 33.53802407 36.62170197 39.44612293 42.34289628 43.22825258 43.42345535 43.13192018 42.58493131 42.48909705 42.39515945 42.01642917 41.93178682 42.17634917 42.38516948 42.21847736 41.88493263 42.1187724 42.21872329 42.0851383 42.1385488 42.49211165 43.29182953 43.27557789 43.40966443 43.27713138 43.39393482 43.44211693 43.34311043 43.47586226 43.49149462 43.99602958 44.11254763 44.09434601 44.26422053 44.41678863 44.61795215 44.76373079 44.86045293 45.21199918 45.37789574 45.83508362 45.98406846 46.16880553 46.68523761 46.85216417 46.93505102 46.57108109 46.54453147 46.3615153 46.11691725 45.88860612 46.18612712 46.6069711 47.025252 -180.0000005 -180.0000317 -131.6957183 -97.96415498 -77.13796096 -62.16180586 -31.43062462 -0.86542368 5.519800663 5.533797457 4.711813463 2.204145796 1.937115398 1.329458943 0.906209117 0.434922695 0.322315106 0.610967193 0.060112993 0.136864276 -0.0657412 -0.285318156 -0.463976165 -0.304524959 0.089452888 -0.245667084 -0.160636482 0.150206713 0.073794376 -0.142675763 -0.760324385 -0.248308477 -0.402616155 -0.696349923 -0.542411587 -0.749872392 -0.741396757 -1.032328006 -1.195217451 -1.351351063 -1.512559036 -1.32142198 -1.119904293 -1.24733524 -1.21329093 -1.423295629 -1.314399808 -1.389934208 -1.225693349 -1.237761519 -1.217024477 -1.289876158 -1.638768449 -1.656238333 -2.082386929 -2.275704328 -2.117264657 -2.183620976 -2.216683154 REAL MAG PHASE MAG(TREN) PHASE(TREN) IMAG 2.15324E-07 -26.0287 26.0287 -180.0000005 26.0287 -0.000809 -26.0289 26.02890001 -179.9982192 26.02880001 2.04 -8.3 8.547022873 -193.8086224 20.20154096 -4.533 29.1 29.45094377 -8.853989418 22.51389166 -17.98 37.1 41.22730163 -25.85650422 26.25657366 -10.672 31 32.78553925 -18.99643745 27.34473459 0.213 35.2 35.20064444 0.346700343 28.873392 0.514 41.6 41.60317531 0.707897407 31.46910455 1.966 40.2 40.24804537 2.799846426 36.7526083 2.664 40 40.08861305 3.810272 38.52555318 2.894 40.8 40.90250892 4.057272989 38.47142106 0.57 42.9 42.90378655 0.761227802 40.15779561 2.099 41 41.05369412 2.930705805 41.13330389 1.006 43.7 43.71157783 1.31875001 41.4847043 1.407 42.7 42.72317461 1.887260061 41.89722585 -0.16 42 42.00030476 -0.21826858 42.21584113 1.66 41 41.03359112 2.31851401 42.23768816 -0.853 45.9 45.90792534 -1.064655224 42.73837796 -1.495 43.5 43.52568236 -1.968356085 43.150376 -1.826 42.1 42.13958087 -2.483528788 42.88837651 2.141 41.7 41.75492643 2.939152132 42.72700181 0.054 43.7 43.70003336 0.070800241 43.01028991 -1.432 43 43.02383786 -1.90737779 43.3419977 -1.662 42.5 42.53248457 -2.239460898 42.77942424 0.4739 41.4 41.40271224 0.655828118 42.42559589 -1.258 42.8 42.81848391 -1.683582822 42.5387464 -0.415 44.4 44.40193943 -0.535519281 42.97991523 0.689 44 44.00539423 0.897126498 43.03080871 -0.466 43.8 43.80247888 -0.609562235 43.16058221 0.075 42.9 42.90006556 0.100167345 43.22184571 1.5824 43.8 43.82857504 2.069073663 43.62615617 -0.845 43.5 43.50820641 -1.112847021 43.74110992 -0.923 44.8 44.80950713 -1.18027955 43.80903787 1.4439 44.3 44.32352476 1.866819388 43.86205963 -0.598 44 44.00406349 -0.778653791 43.89565706 -2.136 44.5 44.55123451 -2.74808818 44.17085189 1.649 43.5 43.53124396 2.170931552 44.12129671 -1.025 46.6 46.61127144 -1.260058061 44.63847421 -1.1115 45.2 45.21366422 -1.408659887 44.70583373 -0.785 44.4 44.40693893 -1.012894174 44.71973609 -0.254 44.7 44.70072165 -0.325569829 44.83584578 -2.362 45.5 45.56126693 -2.971676037 45.00418452 -1.604 45.8 45.8280789 -2.0057835 45.38699034 0.148 44.9 44.90024392 0.188858456 45.10181909 -1.092 48.7 48.71224142 -1.284527892 45.68491529 -1.168 46.1 46.11479398 -1.451348297 45.9695578 -0.605 44.1 44.10414975 -0.785981229 45.87012915 0.421 46.1 46.10192231 0.523228908 45.96023838 -0.418 46.3 46.30188683 -0.5172567 46.03920637 -0.763 46.5 46.50625946 -0.940059289 46.30687563 -1.2466 46.4 46.41674279 -1.538959942 45.92429252 -2.827 45.7 45.78735556 -3.53980381 45.86971945 -1.802 46.3 46.33505373 -2.228831751 46.24153678 -2.635 47 47.07380615 -3.208861662 46.40351742 -2.535 46.6 46.66889998 -3.113772151 46.46468628 -3.677 48.6 48.73889955 -4.326666078 46.83679296 -2.213 47.3 47.35174093 -2.678713827 46.99262598 -3.868 49.1 49.25212101 -4.504344574 47.57008689 -1.705 46.8 46.83104766 -2.086455527 47.65275254 -180.0000005 -179.9991098 -184.6022807 -140.6652079 -117.7034671 -101.2522955 -71.19451205 -41.07682595 -8.308747817 -6.198037581 -1.212408047 2.080536161 2.511203738 2.613012505 2.460914778 1.789491348 1.499698185 1.195384347 0.378874032 -0.254839101 -0.079523756 -0.031345619 -0.735660919 -0.931461865 -0.494097831 -0.360773503 -0.939885406 -0.802164363 -0.58586177 -0.19592373 0.039617194 0.134739828 0.027279783 0.188895265 0.160713339 -0.313995915 -0.2970196 -0.321554774 -0.359618163 -0.839570424 -0.76405643 -0.801321073 -1.497440248 -1.255954162 -1.235265496 -1.308341183 -1.385076417 -0.802592259 -0.554504459 -0.742657417 -0.785062758 -1.133138677 -1.373613764 -1.995628859 -2.428381434 -2.992815899 -3.18277488 -3.343531674 -3.319802303 REAL MAG PHASE MAG(TREN) 2.15324E-07 -25.3287 25.3287 -180.0000005 25.3287 -0.002295 -25.3289 25.3289001 -179.9948085 25.32880005 -10.33 44.3 45.48844798 -13.12584485 32.0486827 0.71 32.5 32.50775446 1.251493346 32.16345064 -15.48 31.5 35.0981538 -26.17082038 32.75039127 -4.442 31.9 32.20778421 -7.927328138 32.65995676 2.424 43.4 43.46764056 3.196793128 35.68311352 1.688 41.4 41.43439808 2.334824517 38.36736318 1.526 41 41.02838866 2.131537061 37.62401996 2.164 44.1 44.15306214 2.809267431 39.56490457 0.455 46.2 46.20224048 0.564258374 41.41558569 2.38 43.6 43.6649104 3.124512684 43.32510672 4.429 42.7 42.92908153 5.921751583 43.23534688 1.196 40.8 40.81752584 1.679071923 43.13253484 1.107 42.5 42.5144146 1.492049174 43.38020583 0.388 42.6 42.60176691 0.521834454 43.12165663 0.96 43.6 43.61056753 1.261354636 42.68971114 -1.023 42.3 42.31236851 -1.385393831 42.46428749 2.075 40.2 40.25351693 2.954809095 42.01836005 0.634 40.5 40.50496212 0.896853268 41.9662661 0.391 41.5 41.5018419 0.539806914 41.79750398 -0.7496 44.2 44.20635588 -0.971601797 42.06493548 -0.744 44.1 44.10627547 -0.966530983 42.14755347 1.408 43.6 43.62272875 1.84964292 42.36594684 -0.3641 42.5 42.5015596 -0.490844305 42.74062062 0.21 43.1 43.1005116 0.279165162 43.1732122 -0.052 43.8 43.80003087 -0.068022355 43.5562437 -0.2 43 43.00046511 -0.266490076 43.3552619 -0.1582 42.7 42.70029306 -0.212275195 43.1209315 -0.775 42.5 42.50706559 -1.044689606 42.93498764 -0.7336 43.4 43.40619966 -0.968391277 43.08576098 0.1445 43.9 43.90023782 0.188592488 43.21904868 -0.2284 44.7 44.70058351 -0.292757095 43.36914079 -0.1262 44.1 44.10018057 -0.163961624 43.5524267 -1.591 46.2 46.2273867 -1.972328475 44.14027564 -0.7122 42.8 42.80592516 -0.953324497 44.19008557 -0.135 43.6 43.600209 -0.17740609 44.22242046 -1.473 44.4 44.42442717 -1.900129293 44.30978535 -1.6215 44.7 44.72940042 -2.077503081 44.31458817 -2.399 44.9 44.96404342 -3.058396462 44.45856531 -1.159 44.8 44.81498947 -1.481941956 44.22316577 -1.836 45.1 45.13735588 -2.331197269 44.61173756 -1.419 45.3 45.32221929 -1.794175159 44.89873927 -0.951 46.3 46.30976572 -1.176687377 45.21296237 -2.349 47.2 47.25841513 -2.84908554 45.63446482 -1.552 45.8 45.82628835 -1.940808661 45.77817231 -0.355 46.6 46.60135218 -0.43647228 46.07589943 -1.14 45.7 45.71421661 -1.428963795 46.17204288 -0.79 46.5 46.50671027 -0.973318531 46.36945804 -0.517 47.8 47.80279583 -0.619681234 46.61829639 -2.0666 48.1 48.14437491 -2.460180457 46.76595636 -0.77 46.2 46.20641622 -0.954841254 46.829311 -1.225 46.2 46.21623768 -1.518850397 46.76512525 -2.185 47.4 47.4503343 -2.639297818 47.0544782 -5.255 50.3 50.57375826 -5.964234837 47.73231953 -1.159 48.9 48.91373305 -1.357737791 47.91747574 -3.553 49.5 49.62734941 -4.105522771 48.16463815 -2.218 48.6 48.65058606 -2.613043614 48.57199979 -1.365 48 48.01940467 -1.628909729 48.87252763 Encoding data and markers Plots 2 D - scatter plot 2 D – connected line plot Plots Regression line graph Mean and standard deviation Plots Bar graph (horizontal) Composite bar graph Plots Histogram (distribution of image) 3D – scatter plot Plots Think practical … …when approaching a design problem • Case Study - Introduction Design a Catapult • You are an engineer (that is good to know and even better to start imagining being one) • Your kid brother or sister is asking you to make a catapult for them for playing during the winter season • What are the things that you should know to design and manufacture this catapult Needs or Functionality • What you are going to throw with that • How fast you want to throw a particular object • How far your catapult should be able to throw that • What will be mechanism of working of the catapult that you designed • How are you going to design that • After the design, how are you going to produce that Preliminary Design Constraints • The part you are going to throw with your design is “assume an Eraser that you use in drawing class” • You have to throw that to a distance of say 10 meters • Since you are designing this for your kid brother or sister, you cannot use unsafe mechanisms like • Things that give out lot of energy or sound like explosive materials etc • Or use of gasoline or heat to power the device Design Requirement • Since you should be able to do it easily you have think of following things • Use minimum number of parts in the assembly (<15) • Use power sources like spring, air cylinder, rubber band or the likes of these • The geometric parameters of the components catapult will have an effect on its performance • Try mostly to use standard parts in your design What Have You to Do? • Come to the next class with a piece of paper outlining the design including the following • The components and their sizes and specs • What were your considerations to choose those particular dimensions and sizes • 2 or 3 lines about the mechanism of operation • We will discuss all those designs and I will show one of the design myself. Basic welding symbols Basic welding symbols Basic welding symbols Spring representation Schematic representation Detailed representation Working drawing of a compression spring Cams Roller-type followers stud and bore
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