Mini Project

CONTENTS 1| ABSTRACT| | 2| ABBREVIATION| | 3| INTRODUCTION TO NC AND CNC| 4| 4| HISTORY| 7| 5| CNC SYSTEM ELEMENTS| 10| 6| WORING ON CNC MACHINES| | 7| BASIC CONCEPTS OF PART PROGRAMMING| 16| 8| TYPES OF CNC MACHINES| 18| 9| PROPERTIES OF CNC MACHINES| 20| 10| DRILLING AND TAPPING ON CNC| 35| 11| APPLICATIONS OF CNC MACHINES| 49| 12| ADVANTAGES AND DISADVANTAGES OF CNC| 51| 13| CONCLUSION| 52| LIST OF FIGURES PAGE NO 1| Hydrotel Milling Machine| 5| 2| Chiron CNC Machine| 5| 3| CNC Lathe Machine| 6| | CNC elements block diagram| 10 | 5| Point to Point tool path| 11| 6| Contour Tool Path| 12| 7| Continuous path tool movements| 18| 8| Continuous path controllers| 19| 9 | Schematic Illustrations of components(a)An open loop(b)A closed loop control| 19| 10| CNC Lathe| 21| 11| CNC Grinders| 21| 12| CNC Drilling| 22| 13| CNC Boring machine| 22| 14| Electrical Discharge Machines (EDM)| 23| 15| Laser cutting machine tools| 23| 16| Flat bed CNC Lathe| 25| 7| Slant bed CNC Lathe| 25| 18| CNC To ol Turrent| 26| | | | | | | | | | | | | 28| Different tools in Drilling machines| 26| 20| Tool Holders| 27| 21| CNC with Fanuc control| 28| 22| CNC setter| 29| 23| Override Speed setter| 31| 24| CNC Backlash| 32| 25| Sensitive Drilling machine| 37| 26| Radial drilling machine| 38| 27| Up-right Drilling machine| 38| 28| Drill materials| 39| 29| Tool nomenclature| 40| 30| Tool holding devices| 41| 31| Various operations of drilling machines| 42| 32| Counter Boring| 43| 33| Counter sunk| 43| 34| Spot Facing| 43| 35| Hands Taps| 46| 36| Holding Devices| 48| 7| Types of Clamps and C- Clamps| 49| 38| Products used in Aerospace Industry| 49| 39| 5 Axis CNC Milling machine| 50| 3. INTRODUCTION TO NC AND CNC Numerical control  (NC) refers to the  automation  of  machine tools  that are operated by programmed commands encoded on a storage medium, controlled manually via hand wheels or levers, or mechanically automated via cams alone. The first NC machines were built in the 1940s and 1950s. These early servomechanisms were rapidly augmented with analog and digital computers, creating the modern  computer numerical control  (CNC) machine tools that have revolutionized the  machining  processes.The program is translated into the appropriate electrical signals for input to motors that run the machine. A CNC machine is an numerical control machine with the added feature of an on board computer. The computer is referred to as the machine control unit (MCU). In modern CNC systems, component design is highly automated using  computer-aided design  (CAD) and  computer-aided manufacturing (CAM) programs. The programs produce a computer file that extracts the commands needed to operate a particular machine, and then loaded into the CNC machines for production.Since any component might require the use of a number of different tools-drills, saws, etc. , modern machines often combine multiple tools into a single â€Å"cell†. The Evolution of NC It was i n 1947 when numerical control was born. It began when John C. Parsons of the Parsons Corporation, Traverse City, Michigan, a manufacturer of helicopter rotor blades, could not make his templates fast enough. So, he invented a way of coupling computer equipment with a jig borer. Mr. Parsons used punched cards to operate his digit Ron system. 1949 was the year of another â€Å"Urgent need†. The U. S.Air Material command realized that parts for its planes and missiles were becoming more complex. Also, as the designs were constantly being improved, changes in the drawing were frequently made. Thus, in their search for methods of faster production, an Air Force study contract was awarded to the Parsons Corporation. The servo mechanisms laboratory of the Massachusetts Institute of Technology (MIT) was the subcontractor. In 1951, MIT took over the complete job, and in 1952, the prototype of today’s NC machine, a modified Cincinnati Hydrotel Milling Machine, was successfully d emonstrated.The numerical control was originated at MIT. Fig:1 Fig:2 CNC MACHINES CNC stands for Computer Numerically Controlled. CNC refers to how a machine operates, that is, its basic method of controlling movement, e. g. , a CNC machine uses a stream of digital information (code) from a computer to move motors and other positioning systems in order to guide a spindle or other tooling over raw material. A CNC machine uses mathematics and coordinate systems to understand and process information about what to move, to where, and how fast.Most CNC machines are able to move in three controlled directions at once. These directions are called axes and are given simple names such as X, Y and Z (based on the Cartesian Co-ordinate System). The X axis is always the longest distance a machine or a part of a machine must travel. X may be the movement from front to back, Y the movement from left to right, and the Z is almost always vertical movement (normally the spindle’s positioning movement up and down). Superior Machinery sells many types of CNC Machines, from CNC Horizontals, CNC Verticals to CNC Lathes; they have over 182 CNC Machines to choose from.A CNC machine must be able to communicate with itself to operate. A computer numeric control unit sends position commands to motors. The motors must talk back to the control that, indeed, they have acted correctly to move the machine a given distance. The ability of CNC machines to move in three (or more) directions at once allows them to create almost any desired pattern or shape. All of this processing happens very fast, accurately and consistently. 4. HISTORY Fig:3 In 1775, John Wilkinson- cannon boring machine (lathe). In 1881, Eli Whitney- milling machine. In 1947, Mr.John Parsons began experimenting for using 3-axis curvature data to control the machine tool motion for the production for aircraft components. In 1949, parsons- first NC machine. In 1951, MIT was involved in the project. In 1955, after refine ments NC became available in industry . Today, modern machineries are CNC milling machines and lathes. CNC technology was developed in the United States in the 1950? s for the US Air Force by metalworking machine tool builders. It was a major advance in the ability of machines to faithfully reproduce complex part machining steps more accurately without human intervention or variability.Numerical control (NC) refers to the automation of machine tools that are operated by abstractly programmed commands encoded on a storage medium, as opposed to manually controlled via handwheels or levers, or mechanically automated via cams alone. The first NC machines were built in the 1940s and 1950s, based on existing tools that were modified with motors that moved the controls to follow points fed into the system on punched tape. These early servomechanisms were rapidly augmented with analog and digital computers, creating the modern computer numerical control (CNC) machine tools that have revolut ionized the machining processes.In modern CNC systems, end-to-end component design is highly automated using computer-aided design (CAD) and computer-aided manufacturing (CAM) programs. The programs produce a computer file that is interpreted to extract the commands needed to operate a particular machine via a postprocessor, and then loaded into the CNC machines for production. Since any particular component might require the use of a number of different tools-drills, saws, etc. , modern machines often combine multiple tools into a single â€Å"cell†.In other cases, a number of different machines are used with an external controller and human or robotic operators that move the component from machine to machine. In either case, the complex series of steps needed to produce any part is highly automated and produces a part that closely matches the original CAD design. Proliferation of CNC The price of computer cycles fell drastically during the 1960s with the widespread introduc tion of useful minicomputers. Eventually it became less expensive to handle the motor control and feedback with a computer program than it was with dedicated servo systems.Small computers were dedicated to a single mill, placing the entire process in a small box. PDP-8? s and Data General Nova computers were common in these roles. The introduction of the microprocessor in the 1970s further reduced the cost of implementation, and today almost all CNC machines use some form of microprocessor to handle all operations. The introduction of lower-cost CNC machines radically changed the manufacturing industry. Curves are as easy to cut as straight lines, complex 3-D structures are relatively easy to produce, and the number f machining steps that required human action have been dramatically reduced. With the increased automation of manufacturing processes with CNC machining, considerable improvements in consistency and quality have been achieved with no strain on the operator. CNC automatio n reduced the frequency of errors and provided CNC operators with time to perform additional tasks. CNC automation also allows for more flexibility in the way parts are held in the manufacturing process and the time required to change the machine to produce different components.During the early 1970s the Western economies were mired in slow economic growth and rising employment costs, and NC machines started to become more attractive. The major U. S. vendors were slow to respond to the demand for machines suitable for lower-cost NC systems, and into this void stepped the Germans. In 1979, sales of German machines surpassed the U. S. designs for the first time. This cycle quickly repeated itself, and by 1980 Japan had taken a leadership position, U. S. sales dropping all the time. Once sitting in the #1 position in terms of sales on a top-ten chart consisting entirely of U. S. ompanies in 1971, by 1987 Cincinnati Milacron was in 8th place on a chart heavily dominated by Japanese firm s. Many researchers have commented that the U. S. focus on high-end applications left them in an uncompetitive situation when the economic downturn in the early 1970s led to greatly increased demand for low-cost NC systems. Unlike the U. S. companies, who had focused on the highly profitable aerospace market, German and Japanese manufacturers targeted lower-profit segments from the start and were able to enter the low-cost markets much more easily. As computing and networking evolved, so did direct numerical control (DNC).Its long-term coexistence with less networked variants of NC and CNC is explained by the fact that individual firms tend to stick with whatever is profitable and their time and money for trying out alternatives is limited. This explains why machine tool models and tape storage media persist in grandfathered fashion even as the state of the art advances. 5. CNC SYSTEM ELEMENTS A typical CNC system consists of the following six elements. 1 Part program 2 Program inpu t device 3 Machine control unit 4 Drive system 5 Machine tool 6 Feedback system Fig:4 6. WORKING OF CNC MACHINES:CNC machines are Controlled by G and M codes. These are number values and co-ordinates. Each number or code is assigned to a particular operation. Typed in manually to CAD by machine operators. G&M codes are automatically generated by the computer software. The tool or material moves. Tools can operate in 1-5 axes. Larger machines have a machine control unit (MCU) which manages operations. Movement is controlled by a motor (actuators). Feedback is provided by sensors (transducers) Closed loop. Tool magazines are used to change tools automatically. Tool Paths and Cutting   Motions:Tool paths describe the route the cutting tool takes. Motion can be described as point to point, or contouring. Speeds are the rate at which the tool operates e. g. rpm. Feeds are the rate at which the cutting tool and work piece move in relation to each other. Expressed in IPM (inches per minu te) Feeds and speeds are determined by cutting depth, material and quality of finish needed. e. g . harder materials need slower feeds and speeds. Rouging cuts remove larger amounts of material than finishing cuts. Rapid traversing allows the tool or work piece to move rapidly when no machining is taking place.Fig:6 Point to Point Tool path Fig:5Contour ToolPath 1. Point to Point tool paths cut following lines 2. Contour tool paths cut follow surfaces Linear Interpolation: (Point to Point) Linear interpolation consist of a programmed point linked together by straight line Fig:7 Circular Interpolation: (Contour) Circular interpolation is the process of programming arcs and circles. Circular interpolation requires endpoints, a feed rate, a center, a radius, and a direction of movement. Block of Information: When running, a part program is interpreted one command line at a time until all lines are completed.Fig:8 N001 G01 X1. 2345 Y. 06789 MO3 N001:Represents the sequence number of the operation G01: Represents linear operation (tool movement) X12345: Will move the tool or table 1. 2345 in. a positive direction along the X axis Y6789:Will move the tool or table 0. 6789 in. along the Y axis M03:Turns spindle on clockwise Commands, which are also referred to as blocks, are made up of words which each begin with a letter address and end with a numerical value. Each letter address relates to a specific machine function. â€Å"G† and â€Å"M† letter addresses O-Program number (Used for program identification)N-Sequence number (Used for line identification) G-Preparatory function X-X axis designation Y-Y axis designation Z-Z axis designation R-Radius designation F-Feed rate designation S-Spindle speed designation H-Tool length offset designation D-Tool radius offset designation T-Tool Designation M-Miscellaneous function G- CODES (Preparatory Functions) which cause some movement of the machine table or head. G00 – Rapid Movement G01- Linear Interpo lation (movement) G02- Circular Interpolation, CW G03- Circular Interpolation, CCW G17 -XY Plane,G18- XZ Plane,G19 -YZ Plane G20/G70 -Inch unitsG21/G71 -Metric Units G40- Cutter compensation cancel G41 -Cutter compensation right G43- Tool length compensation (plus) G43- Tool length compensation (plus) G44- Tool length compensation (minus) G49-Tool length compensation cancel G80-Cancel canned cycles G81-Drilling cycle G82-Counter boring cycle G83-Deep hole drilling cycle G90-Absolute positioning G91- Incremental positioning M-CODES (Miscellaneous) which turn ON or OFF different functions M00 -Program stop M01 -Optional program stop M02 -Program end M03- Spindle on clockwise M04 -Spindle on counterclockwise M05- Spindle stop M06- Tool change . BASIC CONCEPTS OF PART PROGRAMMING Part programming contains geometric data about the part and motion information to move the cutting tool with respect to the worpiece. Basically, the machine receives instructions as a sequence of blocks contain ing commands to set machine parameters; speed, feed and other relevant information. A block is equivalent to a line of codes in a part program. N135 G01 X1. 0 Y1. 0 Z0. 125 T01 F5. 0 These define: N135-Block number G01-G codes X1. 0, Y1. 0, Z0. 125-Coordinates T01-Tool number F5. 0-Special function Programming Methods Automatically Programmed Tools (APT):A text based system in which a programmer defines a series of lines, arcs, and points which define the overall part geometry locations. These features are then used to generate a cutter location (CL) file. Computer Aided Machining (CAM) Systems-Computer Aided Design (CAD) Systems: CAD/CAM systems allow for rapid development and modifying of designs and documentation. The 3D geometric model produced becomes a common element for engineering analysis (FEA), machining process planning (including CNC part programming, documentation (including engineering drawings), quality control, and so on.Drives of CNC machine tool Hydraulic actuator – high power machine tool Stepping motor – small machine due to limited power and torque DC motor – excellent speed regulation, high torque, most widely used. 8. PROPERTIES OF CNC MACHINES Based on Motion Type: Motion control – the heart of CNC: Point-to-Point or Continuous path Based on Control Loops: Open loop or Closed loop Based on Power Supply: Electric or Hydraulic or Pneumatic Based on Positioning System: Incremental or Absolute Point-to-Point Tool Movements: Point-to-point control systems cause the tool to that point only.The tool is not in continuous contact with the part while it is moving. Examples: drilling, reaming, punching, boring and tapping. Fig:9 Continuous-Path Tool Movements : Continuous-path controllers cause the tool to maintain continuous contact with the part as the tool cuts a contour shape. These operations include milling along any lines at any angle, milling Fig:10 Arcs and lathe turning. Loop Systems for Controlling Tool Movem ent: Schematic illustration of the components of (a) an open-loop and (b) a closed-loop control system for a CNC machine. 9. TYPES OF CNC MACHINES * Lathe Machine * Milling Machine Drilling Machine -The bench drill -The pillar drill * Boring Machine * Grinding Machine CNC Mills: These machining centers use computer controls to cut different materials. They are able to translate programs consisting of specific number and letters to move the spindle to various locations and depths. Used to make 3D prototypes, moulds, cutting dies, printing plates and sights. CNC Lathes: They cut metal that is often turning at fast speeds. CNC lathes are able to make fast ,precision cuts using Indexable tools and drills with complicated programs. Normally, they cannot be cut on manual lathes.They often include 12 tool holder sand coolant pumps to cut down on tool wear. Fig:11 CNC Grinders: Grinding metal process uses a coated wheel that slowly removes metal to create a part. Through the years, grinding was done on a manual machine, but with the advent of CNC technology, the grinding process has advanced . Fig:12 CNC DRILLING: Drilling is commonly used for mass production. The drilling machine (drilling press) is used to create or enlarge holes. The bench drill: For drilling holes through raw materials such as wood, plastic and metal The pillar drill: A larger version that stands upright on the floor.As the bench drill, it can be used to drill larger pieces of materials and produce bigger holes. Fig:13 CNC Boring: Process of enlarging an existing hole or internal cylindirical surface. This can be accomplished on a lathe or a machine tool specifically designed for the process, such as a horizontal boring machine. Fig:14 Electrical Discharge Machines (EDM): Wire EDM machines utilize a very thin wire (. 0008 to . 012in. ) as an electrode. The wire is stretched between diamond guides and carbide that conduct current to the wire and cuts the part like a band saw.Material is removed by the erosion caused by a spark that moves horizontally with the wire. Fig:15 Laser Cutting Machines: The machine utilizes an intense beam of focused laser light to cut the part. Material under the beam experiences a rapid rise in temperature and is vaporized. Laser cuts with a minimum of distortion, no mechanical cutting forces. Specific tools to perform different Operations: Fig:16Fig:17 CNC lathe machine tool turret is part of the CNC machine where all tooling is mounted. CNC lathe tool turret has an integral Disk like part (Tool turret disk) on which all the tools are mounted.CNC lathe tool turret is mounted on the x-axis carriage. Fig:18 Slant Bed CNC Lathe / Flat Bed CNC Lathe On some CNC lathe machines x-axis carriage with the tool turret is located behind the spindle (such cnc lathe machines are called  slant bed cnc lathe machines) and on other cnc lathe it is located at the front (as normal lathe machines) such cnc lathe machines are called  flat bed cnc lathe machine. T he below is a Slant Bed CNC Lathe Machine. Fig:19 Fig:20 CNC Lathe Tool Turret Tool Capacity: Tool capacity for cnc lathe machines varies machine to machine.Small CNC lathe machines normally comes with a tool turret capacity of 4 or 8 tools stations. Bigger and  heavy CNC lathe machines tool turrets are big and heavy and accordingly will hold more tools such as 12 or more. Fig:21 Tool Holder: Tool holder is the actual part which fastens   the tool to the cnc lathe tool turret Disk. Tool holder size also depends upon the cnc lathe tool turret size, heavy CNC late machine tool turret comes with with big bore for tool holders such as 50 mm diameter. For the small tool turret this might be 40 mm diameter or, less to suit the tool to hold.Fig:22 CNC Lathe Tool Turret Rotation CNC lathe tool turret rotates with the cnc program commands. Normally a letter â€Å"T† is used to call a tool in the working position. The tool rotation is dependent on cnc lathe machine. Some cnc lathe tool turret rotate in one direction (CW or CCW ). Some cnc lathe tool turret rotates both directions, such tool turret direction is optimized for the nearest tool station. Some cnc lathe give full control over tool call up, you can call by optimized direction or you can call tool by rotating tool turret by CW direction or CCW.Tool Offset in CNC Lathe with Fanuc Control Fig:23 There are variety of cnc machines in the market, and almost every cnc machine in a  cnc workshop  has different kind of cnc machine controls if controls are not different they might have different versions of the same cnc machine control. As the operating of different cnc machines controls is very much different from one another the same way  Tool Offsetting  is very much different. Here I will discuss the cnc tool measurement on Fanuc. Tool Offset Setting on Fanuc TCSome cnc machines has some kind of built-in mechanism of tool-offsetting, this built-in mechanisn of tool-offsetting makes adding new tool s are changing existing tools a breeze, because you just tie-up the tool in the tool-post on the  cnc machine tool-turret  and just perform the procedure the cnc machine manufacture has given in the cnc machine operating and setting manual. The  Fanuc  controls such as Fanuc TC has this capability, Just tie up tool in the tool turret and perform a simple procedure and everything is done. The tool offsetting procedure might be different from version to version, But on Fanuc TC this procedure is simple as under.For tool offsetting of a new tool just tie up the tool in the tool post and in  MDI (Manual Data Input) Mode  call up the tool in the working position by entering the command T1, the T is for tool call up and 1 is tool number if you have your tool on another position you might change that with that tool number. Now change the cnc machine to Jog Mode and touch the tool cutting point to the finished component (already gripped in cnc machine jaws) face and bring the To ol-Geometry page and enter under the tool number the command MZ0 this command will clear any previous values and will measure the current tool’s tool-offset in Z-axis.Now touch the tool to a  known-diameter  on the component and again in the tool-geometry page enter the command MX50 you can enter the measured diameter value instead of 50. This way now we have calculated the tool-measurement on the Fanuc TC cnc machine control. CNC Dry Run Invaluable Tool for CNC Setter: Fig:24 It shows the power and the flexibility the cnc machine manufacturers and cnc control manufacturers give a  cnc machine setter  by integrating the Dry Run  on cnc machines. On some cnc machines the Dry Run is added as a  CNC Machine Mode  like Fanuc.On Fanuc cnc control you just select the Dry Run mode and cnc machine is now in Dry Run Mode. Introduction of Dry Run for CNC Machines Setting a new component on a cnc machine is not an easy job. You have to go through many important tasks like cnc machine zero offsetting (cnc machine shift value setting),tool offsetting of tools  used on cnc machine etc. Now if you have completed these all tasks, now comes the time to run the cnc program for the first time, A really crucial and time consuming cnc task. A small negligence might be cause of an accident on cnc machine (tool breakage etc. . To make the first run easy and safe the cnc machine manufacturers and cnc control manufacturers provide us a way by which we can easily control the tools feed with  feed override. So now the cnc setter is a bit easy because he can now run all the tools with a  Safe Feed. Now cnc setter easily can lower the tool feed when he feels the tool is entering a bit danger zone, and easily can increase the tool feed (to a rapid feed) when the tool is away from the component (so the time not go wasted with lower feed when tool is away from component).In Dry Run all the cnc blocks whether those are starting with G00 or G01 and other  G-code  like G02/G03 run with the same feed, which is controlled through Feed Override. On Fanuc the feed override is controlled through  Handwheel  after feed override button press, and there also exists a Rapid Feed Button which if pressed during Dry Run Mode the cnc machine program block will run with Rapid Feed. One point must be cleared for Fanuc control is that feed override also works in  Auto Mode and Single Block Mode  but in such modes the feed override only controls G01/G02/G03 like G-code.But feed override will not control the G00 (Rapid Traverse). But in Dry Run Mode all the cnc program will run with the feed which is controlled through Feed Override. An introduction to cnc machine speed override and feed override controls and safety instructions which must be adhere to while working with cnc machine feed and speed override. CNC Machine Speed Override / Feed Override Introduction Normally you program the speed and feed this way, N10 G97 S1000 G95 F0. 3 Fig:25Now for on e reason or other you want to increase or decrease the speed or feed of the cnc machine  for some time, you definitely have a way to just alter the  cnc machine program, but there is one more suitable solution the Feed Override and Speed Override Controls. The feed override and speed override are  the most suitable and handy way to control the  cnc machine feed and speed through cnc control panel. You control the speed and feed in percentage. When the feed override  is 100% the actually feed  which is programmed will be active.But if the feed override  is 50% then the feed  will decrease by that ratio, now the machine tools will run with 50% of feed. So if you  have programmed 0. 5 mm/rev feed then with 100% the 0. 5 will be active, but for 50%  feed override the actually tool feed will be 0. 25 mm/rev. The same rule applies for speed override, for 100% the actual programmed speed will be active and spindle will revolve  with the actual programmed speed. But  at 50% speed  override the spindle speed will drop by 50%. Feed Override Speed Override Minimum Maximum Values: Normally you can control speed override and feed override from 0% to 120%.At 0% speed override the spindle will stop rotating, and at 0% feed override the tool will stop working ( the tool will be stationary ). No doubt  120% feed  override and speed override is just  safe. But some cnc machines give even more flexibility I  have worked on a cnc machine which has its feed override 0% to 200%. Normal cnc machine has just 0% to 120% feed  override and speed override. Speed Override and Feed Override Safety Precautions Whenever handling the speed override and feed override always think about safety, safety of yourself, tool, machine, component and your surroundings.Never try to use the speed override and feed override if you don’t need it. Because when cnc programs are made the speed and feed is properly set for the machined component. The increase in feed or speed might break insert or even tool. CNC Backlash CNC Troubleshooting, In this category we will see the cnc machine from a different view (cnc machine maintenance), your feedback will really matter, and I hope you will share you knowledge and experience. I will talk about the  CNC  Backlash  which is found in cnc machine axis. * what is cnc backlash, * cnc backlash causes, * when to worry about cnc backlash, how to measure backlash, * How to resolve and compensate cnc backlash through hardware and cnc control software. Fig:26 *What is CNC Backlash? CNC Backlash is any kind of play which is found in cnc machine axis. or you might say, CNC Backlash  is non-movement of the cnc axis which occurs on axis reversal. *Causes of CNC Backlash? This play (backlash) might be due to * Clearance which is kept in mechanical parts to reduce friction. * As mechanical parts get loose with time. * As with time mechanical parts keep moving and rubbing each other and after long time they l ose their actual shape and size. CNC Backlash Is already there A cnc machine axis move due to their  Lead Screw  and  Lead Screw Nut. There is always kept a very minor backlash in the lead screw and lead screw nut to reduce damage and wear. *CNC Backlash When to Worry It is good if your cnc machine axis backlash is near 0. 0001? but not always possible, so 0. 0003? to 0. 0004? is acceptable. But if the amount of play in the lead screw and nut crosses this limit then there is the time to worry, and call up you mechanical maintenance guys. CNC Backlash How to Measure?CNC machine backlash can be measure with a  Dial Indicator  attached to an Adjustable Stand. Put the stand on the cnc bed and direct the needle (plunger) of the dial indicator towards the axis which you want to measure. 1. Set the dial needle to 0. 0mm (zero). 2. Now move the axis in one direction 0. 5mm. Dial indicator should show 0. 5mm travel. 3. Now reverse the same axis 0. 5mm. If your dial indicator now go es back to 0. 0mm, then everything is okay. But otherwise, if on reversal the dial lags behind, then the amount the dial lags behind is the backlash.CNC Backlash How to Resolve? ( Backlash Compensation ) Now you have two choices the hardware way and software way to resolve cnc backlash. You first better choose the hardware way, because normally backlash is due to lead screw or lead screw nut wear, so better resolve the issue by tightening them a bit if they are loose than required, there are plenty of other hardware ways to cope with backlash. CNC controls also give us the ability to control (compensate) cnc backlash through their parameters. CNC Backlash Compensation through CNC Control Parameters How Much Successful?The better advice is that you resolve the issue by changing the lead screw (if possible) or lead screw nut, or just tightening them if they are loose might work, but otherwise CNC control parameters can be changed to compensate backlash, the cnc lathe machine I work on with fanuc control has the 0. 012mm set in its parameters as the backlash compensation for x-axis and z-axis. So such values can be changed to resolve the backlash issue. 10. DRILLING AND TAPPING ON CNC MACHINES Drilling is the operation of producing circular hole in the work-piece by using a rotating cutter called DRILL.The machine used for drilling is called drilling machine. The drilling operation can also be accomplished in lathe, in which the drill is held in tailstock and the work is held by the chuck. The most common drill used is the twist drill. Drilling Machine It is the simplest and accurate machine used in production shop. The work piece is held stationary ie. Clamped in position and the drill rotates to make a hole. Types 1) Based on construction: Portable, Sensitive, Radial, up-right, Gang, Multi-spindle 2) Based on Feed: Hand driven ,Power driven Components of drilling machine:Spindle The spindle holds the drill or cutting tools and revolves in a fixed position in a sleeve. Sleeve The sleeve or quill assembly does not revolve but may slide in its bearing in a direction parallel to its axis. When the sleeve carrying the spindle with a cutting tool is lowered, the cutting tool is fed into the work: and when it’s moved upward, the cutting tool is withdrawn from the work. Feed pressure applied to the sleeve by hand or power causes the revolving drill to cut its way into the work a fraction of an mm per revolution. ColumnThe column is cylindrical in shape and built rugged and solid. The column supports the head and the sleeve or quill assembly. Head The head of the drilling machine is composed of the sleeve, a spindle, an electric motor and feed mechanism. The head is bolted to the column. Worktable The worktable is supported on an arm mounted to the column. The worktable can be adjusted vertically to accommodate different heights of work or it can be swung completely out of the way. It may be tilted up to 90 degree in either direction, to al low long pieces to be end or angle drilled. BaseThe base of the drilling machine supports the entire machine and when bolted to the floor, provides for vibration-free operation and best machining accuracy. The top of the base is similar to the worktable and may be equipped with t- slot for mounting work too larger for the table. Hand Feed The hand- feed drilling machines are the simplest and most common type of drilling machines in use today. These are light duty machine that are operated by the operator, using a feed handled, so that the operator is able to â€Å"feel† the action of the cutting tool as it cuts through the work piece. These drilling machines can be bench or floor mounted.Power feed The power feed drilling machine are usually larger and heavier than the hand feed ones they are equipped with the ability to feed the cutting tool in to the work automatically, at preset depth of cut per revolution of the spindle these machines are used in maintenance for medium du ty work or the work that uses large drills that require power feed larger work pieces are usually clamped directly to the table or base using t –bolts and clamps by a small work places are held in a vise. A depth –stop mechanism is located on the head, near the spindle, to aid in drilling to a precise depth.Sensitive or Bench Drilling Machine * This type of drill machine is used for very light works. Fig. 1 illustrates the sketch of sensitive drilling machine. * The vertical column carries a swiveling table the height of which can be adjusted according to the work piece height. * The table can also be swung to any desired position. * At the top of the column there are two pulleys connected by a belt, one pulley is mounted on the motor shaft and other on the machine spindle. * Vertical movement to the spindle is given by the feed handle by the operator. * Operator senses the cutting action so sensitive drilling machine.Fig:27 Up-Right Drilling Machine * These are medium heavy duty machines. * It specifically differs from sensitive drill in its weight, rigidity, application of power feed and wider range of spindle speed. Fig. 2 shows the line sketch of up-right drilling machine. * This machine usually has a gear driven mechanism for different spindle speed and an automatic or power feed device. * Table can move vertically and radially. * Drill holes up to 50mm Fig:28 Radial Drilling Machine * It the largest and most versatile used for drilling medium to large and heavy work pieces. Radial drilling machine belong to power feed type. * The column and radial drilling machine supports the radial arm, drill head and motor. Fig. 3 shows the line sketch of radial drilling machine. * The radial arm slides up and down on the column with the help of elevating screw provided on the side of the column, which is driven by a motor. * The drill head is mounted on the radial arm and moves on the guide ways provided the radial arm can also be swiveled around the co lumn. * The drill head is equipped with a separate motor to drive the spindle, which carries the drill bit.A drill head may be moved on the arm manually or by power. * Feed can be either manual or automatic with reversal mechanism. Drill Materials The two most common types are 1. HSS drill- Low cost 2. Carbide- tipped drills – high production and in CNC machines Other types are: Solid Carbide drill, TiN coated drills, carbide coated masonry drills, parabolic drills, split point drill. Fig. 4 shows various types of drills. Drill fixed to the spindle Fig:30 Tool Nomenclature: Fig. 31 Nomenclature of twist drill Tool holding devices Fig. 7 and Fig. 8 shows the different work holding and drill drift device.The different methods used for holding drill in a drill spindle are * By directly fitting in the spindle hole. * By using drill sleeve * By using drill socket * By using drill chuck Fig:32 Drilling operations: Operations that can be performed in a drilling machine are * Drillin g * Reaming * Boring * Counter boring * Countersinking * Tapping Drilling: It is an operation by which holes are produced in solid metal by means of revolving tool called ‘Drill’. Fig. 9 shows the various operations on drilling machine. Reaming: Reaming is accurate way of sizing and finishing the pre-existing hole.Multi tooth cutting tool. Accuracy of 0. 005mm can be achieved. Boring: Boring is a process of enlarging an existing hole by a single point cutting tool. Boring operation is often preferred because we can correct hole size, or alignment and can produce smooth finish. Boring tool is held in the boring bar which has the shank. Accuracy of 0. 005mm can be achieved. Fig. 33 Various operations on drilling machine Counter Bore :- This operation uses a pilot to guide the cutting action to accommodate the heads of bolts. Fig. 10 illustrates the counter boring, countersunk and spot facing processes. Countersink:-Special angled cone shaped enlargement at the end of the hole to accommodate the screws. Cone angles of 60 °, 82 °, 90 °, 100 °, 110 °, 120 ° Fig. 34 Counter boring, countersunk and spot facing Drilling  machines are tools that have a rotating, cutting component at one end that bores holes into different materials. There are several types of  drilling  machines that may be used for a wide variety of purposes, including woodworking, construction,  masonry, metalworking, medicine, oil  drilling, and many other fields. Common drills include the hand drill, push drill, pistol-grip drill, hammer drill, and  drill press.In addition to making holes, drills are often used to push screws into wood, metal, plastic, rock, or composites. The hand drill and push drill are both manually operated  drilling  machines that have been largely replaced by power drills. A hand drill works by turning a crank that rotates gears, which cause the chuck to turn. The chuck is the component of the  drilling  machine  that holds the bit, or the end cutting piece. The push drill is a skinny tool resembling a screwdriver with a handle that can be pushed down on a threaded shaft, or a pole with helical ridging.As the handle is pushed down along threading, the shaft, chuck, and bit spins downward, much like pumping a toy metal top. Pistol-grip drills are the most commonly used  drilling  machines. These are corded electric drills that are typically shaped roughly like a pistol, with a trigger switch that starts a motor inside the drill. The motor causes the chuck and bit to spin in continuous revolutions. These drilling  machines may be used to make holes for bolts or other purposes, to push screws into wood, plastic, or other materials, and to bore countersinks.A  countersink  is a screw-shaped hole that is made before the screw is drilled in, preventing splintering or pulling of the plastic or wood around the head of the screw. A pistol-grip drill is also available in a battery-powered, cordless version , though they are usually more expensive. There are many different types of this drill and several indications for use. It is also possible to adapt the drill with an attachment, such as sanding or sawing components. A hammer drill, also called a rotary hammer, is similar to a pistol-grip drill, but also applies a punching motion to complement the rotational action of the bit.This hammering, forward force makes it useful for tougher materials, such as concrete or stone, that standard electric drills cannot cut through. For softer materials, however, the hammer drill may apply excessive force and a standard drill may be a better choice. A drill press is a type of drill that may stand on the floor or be mounted on a workbench. The base of the  machine  is bolted to the table or floor and a column rises up from the base to support the back of the head of the drill. The column also supports a table that can be adjusted in height between the head and the base.The spindle, a metal com ponent that holds the chuck and drill bit, extends downward from the front of the head, parallel to the column. A larger distance between the spindle and column allows wood with a larger width to be drilled. An â€Å"on† switch triggers the spindle to spin and levers attached to the head of the drill press move the spindle and chuck to move up or down. These  drilling  machines are suited for accurate  drilling, because the bit is fixed and the work can be secured to the table with clamps or a vise. ————————————————- Types Of Drill BitsDrill bits are tools used in making cylindrical holes. Various types of drill bits are designed for different uses. Drill bits are equipments or tools that are used in making cylindrical holes. Drill bits can also be referred to as a drilling machine. Drill bits are available in various drill types such as metal drills, gun dril ls, screw machine drills, core drills, step drills, spade drills, forstner drills, masonry drills, dental or surgical drills, wood bits, twist drills, drill blank taper drills and much more. They are designed to cut while doing a clockwise rotating motion. Several drill bits are coolant fed.They contain a channel or hole for directing the coolant fed near to the cutting edges. The split point drill heads of drill bits are used for chip clearance and for excellent centering. Drill bits can also be used in cutting aluminum, general-purpose metals, brass, copper, bronze, ceramic, and plastic, stainless steel, steel, wood, titanium and hardened materials. Various types of drill bits are designed for different uses. Listed below are some types of Drill Bits. Twist Drill: It drills holes in plastic, metal and wood. This drill is currently produced with a width covering a range from 0. 5 millimeters to 100 millimeters while its length is around 1000 millimeters. The most usual twist drill has a tip angle of 118 degrees. This is a proper angle for an extensive array of job. It also has a long series drill for extended length twist drills. It is not advisable to drill deep holes using this twist drill. Diamond Drill Bit: This particular drill is used in the bathroom for updating or remodeling. It is also used in redesigning your kitchen decoration. Furthermore, it is used on ceramic, glass, tile, limestone, stained glass, marble, fiberglass, porcelain, stone, slate and porcelain tile.When using this drill, the main concern is to obtain water at the edge of the drill bit. Drilling fiberglass may be done with or without water but make sure that the fiberglass has ample amount of water just to get the drill wet. Indexable Drill Bit: This provides an excellent performance in making short-hole drillings. Stainless steel is drilled 3x in diameter and only a short-hole must be done. Listed below are some other types of drill bits Adjustable Bit: This is built with a changeabl e cutter blade to bore holes of various sizes. It is also used for drilling gaps for wiring or piping.Around-the-corner bit: It is used to cut arched holes that are stretched in corners with a diagonal cutting surface. Auger Bits: This drill creates drill holes in wooden materials. The drill ends have a screw head so that the bits may be self fed. Brad-point drill: This drill looks almost the same as the usual bits but it has sharpened point to make wood drilling a lot easier. This drill has cleaner holes other than spade bits. Counterbore: The drill allows a screw to be driven under the wood outside. The holes that are drilled may be filled with a plug or wire.Drill Saw Bit: It is used to cut holes such as wood and metal and can enlarge current holes. Countersink: A drill that has an angled tip design that forms a â€Å"slump† in the screw head. Fly cutter: This one is often used to cut circles in wood and other soft metals. The diameter of circles may be adjusted by changin g the cutter blade setting. Hole saw: It cut holes from one to six centimeters in diameter and has a center bit for directing the cutting blade edge of the saw. Reamer bit: The tapered bit of reamer may be used on existing holes rather than to enlarge holes.Screw pilot bit: This beautiful bit is used for drilling body holes. A pilot hole is used along with the countersink. Wire Brushes: It use to remove rust and to clean up metal and is available either as a wheel or a cup with wire brush. Plastic bit: This is designed with a tip so as to prevent splintering when drilling plastic. It is important to reduce the speed and slowly drill the other side of the plastic. Plug cutter: Use this to remove cylindrical shapes from the wood. It covers the screw using a small cylindrical plate. Tapping:- Tapping is the process by which internal threads are formed.It is performed either by hand or by machine. Minor diameter of the thread is drilled and then tapping is done. Fig. 11 show the tapping processes. Fig. 35 Hand taps and tapping process using tap wrench Fig. 36 Various operations performed on drilling machine Work Holding Devices 1. Machine Table Vice: The machine vice is equipped with jaws which clamps the work piece. The vice can be bolted to the drilling table or the tail can be swung around swung around. Fig. 13 shows the standard and swivel vice. The swivel vice is a machine wise that can be swivel through 360 ° on a horizontal plane. Fig:37 1.Step Blocks These are built to allow height adjustment for mounting the drilling jobs and are used with strap clamps and long T-slot bolts. 2. Clamps These are small, portable vises , which bears against the work piece and holding devices. Common types of clamps are C-clamp, Parallel clamp, machine strap clamp, U-clamp etc.. Fig. 14 shows the correct and incorrect methods of mounting the work piece. Fig:38 11. APPLICATION OF CNC MACHINES ? cutting ? drilling ? milling ? welding ? boring ? bending ? spinning ? pinning ? gluing ? sewing ? routing Its application in some industries like -Automotive Industry Aerospace Industry -Machinery Industry -Electrical Industry -Instrumentation Industry Automotive Industry Different Products Fig:39 Aerospace Industry Aircraft Turbine Machined by 5-Axis CNC Milling Machine Fig:40 12. ADVANTAGES AND DISADVANTAGES OF CNC -Ease of Use ? CNC machines are easier for beginners ? Operation of several CNC machines at same time ? Some CNC machines don’t need any operator indeed call their operator in case of the emergencies. High Efficiency ? operate almost continuously 24 hours a day, 365 days a year. Expanding Options ? Expand the machine's capabilities with SoftwareChanges and updates. No Prototyping ? new programmers provide elimination build a prototype, save time and money. Precision ? Parts are identical to each other. Reduce Waste ? Reduce waste as errors allows minimize wasted Material. Disadvantage of CNC Machines Cost CNC machinery: ? costs quite a lot m ore than conventional machinery. ? Does not eliminate the need for expensive tools. ? Expensive to repair. 13. CONCLUSION CNC machines which are applicable any type of processing. manufacturing anything is identical in shorter time. CNC machines provide many advantages. Many industries prefer using CNC machines.

Pro and Contra Student Work

STUDENT WORK STUDY AND PRO-contrast BY MOHAMMAD ZAKARIA CHE ZAKWAN UKM: Although PTPTN loans or scholarships have been awarded, but so the price increases and cost of living are higher indeed inadequate. Therefore, they began looking at ways to overcome the financial difficulties experienced by them. According to the fourth edition of the chambers dictionary, the word â€Å"Temporary Works† means work done while normal work or other regular work. For a student, their main task is to learn and focus their attention on academic aspects, while working part-time at leisure intended to supplement pocket money or looking for work experience.If seen from the positive side, working part-time as to train students to become independent. Desire to work comes from themselves masing. Bagi some students they do not want to burden their parents with problems faced by them. Thus they take their own initiative to work part-time in order to reduce the financial burden of their parents. In addit ion, part-time work can increase revenue or give incomekepada students. With the availability of this income from part-time work, to some extent they are able to buy all the equipment needed or whether an item needs to meet themselves.Worked part-time for those who hold student status is indeed a big challenge. Both in terms of time or energy. Time constraints for a student is a challenge indeed. They need to complete assignments given by lecturers and review the lecture notes given in preparation for the final test of the semester and at the same time they have to work part-time to cover their living costs. Furthermore, the study work is also very tiring. Family life far from their need to do it all alone. Starting from toiletries, food, drink and everything should be done independently.However, every single thing that we do indeed have its own pros and contrast and need our wisdom in finding a solution. MAHASISWA KERJA SAMBIL BELAJAR DAN PRO-KONTRANYA OLEH MOHAMMAD ZAKWAN CHE ZAKA RIA UKM : Walaupun pinjaman PTPTN atau biasiswa telah diberikan namun begitu dengan kenaikan harga barang dan kos sara hidup yang semakin tinggi sememangnya masih tidak mencukupi. Oleh sebab itu, mereka mula mencari jalan penyelesaian bagi mengatasi masalah kewangan yang dialami oleh mereka.Menurut kamus dewan edisi keempat, perkataan â€Å"Kerja Sambilan† membawa maksud kerja yang dibuat disamping kerja biasa atau kerja tetap yang lain. Bagi seorang pelajar, tugas utama mereka ialah belajar dan menumpukan perhatian mereka terhadap aspek akademik, manakala bekerja sambilan pada waktu lapang bertujuan untuk menambah duit saku ataupun mencari pengalaman kerja. Jika dilihat dari sudut positif, bekerja sambilan dapat melatih mahasiswa untuk berdikari. Keinginan untuk bekerja itu datang daripada diri masing-masing.Bagi sesetengah pelajar mereka tidak mahu membebankan ibu bapa mereka dengan masalah yang dialami oleh mereka. Justeru itu mereka mengambil inisiatif sendiri dengan beke rja sambilan bagi mengurangkan beban kewangan ibu bapa mereka. Selain itu juga, bekerja sambilan dapat menambahkan pendapatan atau memberi incomekepada para pelajar. Dengan adanya pendapatan daripada kerja sambilan ini, sedikit sebanyak mereka dapat membeli segala peralatan yang diperlukan sama ada barangan keperluan ataupun untuk memenuhi kehendak diri mereka sendiri.Bekerja sambilan bagi golongan yang memegang status pelajar sememangnya merupakan satu cabaran yang besar. Baik dari segi masa mahupun tenaga. Kekangan masa bagi seorang pelajar sememangnya merupakan sesuatu yang mencabar. Mereka perlu menyiapkan tugasan yang telah diberikan oleh pensyarah serta mengulangkaji nota-nota kuliah yang diberikan sebagai persediaan untuk menghadapi ujian akhir semester dan dalam masa yang sama mereka perlu bekerja sambilan bagi menampung kos sara hidup mereka Tambahan pula, kerja sambil belajar juga amat memenatkan.Kehidupan yang jauh daripada keluarga memerlukan mereka melakukan semuanya se cara sendirian. Bermula daripada kelengkapan diri , makan, minum dan semuanya perlu dilakukan secara berdikari. Walaubagaimanapun, setiap perkara yang kita lakukan sememangnya mempunyai pro dan kontranya yang tersendiri dan memerlukan kebijaksanaan kita dalam mencari jalan penyelesaiannya.

Social, legal and ethical aspects of IS security and privacy Research Paper

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The Unconventional Depiction of Women in Japanese Films Essay

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Project Part 2 Research Paper Example | Topics and Well Written Essays - 1250 words

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SFAS 116 and SFAS 117 Essay Example for Free

SFAS 116 and SFAS 117 Essay SFAS 116 and SFAS 117 were created to improve accountability among not-for-profit and government entities. These improvements should simplify the structure of financial statements by making them understandable to both the financial and non-financial audience. SFAS 116 establishes the accounting standards for contributions made and received. All entities that make or receive contributions are required to report the contributions received at fair market value as revenue in the period in which they were received. Likewise, any contributions made must be recognized at fair market value but as expenses in the period in which they were made. It further requires that not-for-profit organizations classify contributions that increase net assets as either permanently restricted, temporarily restricted, or unrestricted (FASB, 1993). SFAS 117 concentrates on the external financial statements for not-for-profit organizations. The purpose is to enhance the relevance, understandability, and comparability of financial statements issued by those organizations (FASB, 1993) and requires that all not-for-profit organizations provide a statement of financial position, statement of activities, and statement of cash flows (FASB, 1993). NFPs are required to report net assets broken down as permanently restricted, temporarily restricted, or unrestricted in the statement of financial position. The amounts of change for each classification also must be broken down in the statement of activities. The statement of cash flows must also now contain donor-restricted cash that is used for long-term purposes as being derived from financing activities. Any welfare and voluntary health organizations must report on the statement of functional expenses the function and natural classifications of those expenses (FASB, 1993). All not-for-profit and government organizations must follow these statements. While the individual accounting processes may be complicated, they will help to promote financial accountability and  transparency within those organizations. References FASB. (1993, June). Statement of financial accounting standards no. 116. Retrieved from http://www.fasb.org/cs/BlobServer?blobkey=idblobwhere=1175820922799blobheader=application%2Fpdfblobcol=urldatablobtable=MungoBlobs FASB. (1993, June). Statement of financial accounting standards no. 117. Retrieved from http://www.fasb.org/cs/BlobServer?blobkey=idblobwhere=1175820923228blobheader=application%2Fpdfblobcol=urldatablobtable=MungoBlobs CERTIFICATE OF ORIGINALITY I certify that the attached paper is my original work. I am familiar with, and acknowledge my responsibilities which are part of, the University of Phoenix Student Code of Academic Integrity. I affirm that any section of the paper which has been submitted previously is attributed and cited as such, and that this paper has not been submitted by anyone else. I have identified the sources of all information whether quoted verbatim or paraphrased, all images, and all quotations with citations and reference listings. Along with citations and reference listings, I have used quotation marks to identify quotations of fewer than 40 words and have used block indentation for quotations of 40 or more words. Nothing in this assignment violates copyright, trademark, or other intellectual property laws. I further agree that my name typed on the line below is intended to have, and shall have, the same validity as my handwritten signature.

Shakespeares Macbeth Essay Example for Free

Shakespeares Macbeth Essay In Shakespeares Macbeth, which character or characters bear most responsibility for the death of Duncan? Discuss. Shakespeares drama Macbeth was first performed in 1603 and appears to celebrate the accession to the English throne of King James I, who was believed to be the descendant of one of the plays characters, Banquo. The plot originates from the ancient Scottish story of King Macbeth of Scotland. Macbeth is the Thane of Glamis, and holds the position of general in the kings army. He is tempted with the prospect of becoming king himself by three witches he meets on a heath. This creates an internal moral dilemma which is exacerbated after he writes to his wife, informing her of his experiences. This compels her to exert pressure upon him, and give orders and ultimatums; and so on the surface Macbeth appears to be a victim of external forces. With this in mind I intend to examine these characters in turn to see who bears the greatest blame for the death of King Duncan. This play was intended for King James Is attention. We know this through the use of Scotland, James homeland, as a backdrop to the story and the characterisation of his ancestor, Banquo. The characters of the three weird sisters are intended as a reference to King James obsession with witches and witchcraft. In his treatise Daemonologie (1597) he wrote of them as demonic supernatural beings who served a purpose as tempters. According to him, their purpose was the damnation of their victims soul. Their role as tempters in the play relates to James belief that God may test people, even the best (God will permit so to be tempted or troubled), and this demonstrates that the witches motives for targeting Macbeth was not merely a cruel trick but may be seen as part of a greater design in which he is to be tested by God. This demonstrates that even a hero must be subjected to temptation (and euen some of the best, that their patience may bee tryed before the world). Though the witches are malevolent, they could possibly be instruments of God (rather than the Devil as suggested in Act 3 Scene 5, where the character of Hecate comes to direct the witches; however, this character is probably a later interpolation by another writer, as the Folio was printed seven years after Shakespeares death). Macbeths subsequent failing through succumbing to temptation and killing Duncan is not the fault of God nor the witches, but himself. This illustrates the ubiquitous nature of temptation, and shows that all people are plagued with their own demons of desire; however these demons cannot be blamed for leading their victims astray because the responsibility lies with the person who chooses not to resist temptation. We must deal with the possibility that the witches possessed Macbeth, and that he may not be responsible for his actions. The frequent use of the word rapt, which comes from rapture, suggests the transportation of the soul. This is seen in the play when Banquo comments on Macbeths appearance upon being told he is to be the new thane of Cawdor; (Look, how our partners rapt). However his subsequent actions prove he is capable of free will (We will proceed no further in this business) and that he is therefore responsible for his actions. In conclusion, Macbeth is capable of making choices, and he chooses to commit regicide for personal gain. This was not forced upon him by the satanic tempters, they are not controlling him. One character who does attempt to exert control over Macbeth however is his wife, Lady Macbeth. In the next paragraph we will examine the way in which she attempts to do this and to what extent she is responsible for the tragedy. Lady Macbeth was first told of the witches prophecy in a letter from her husband. Her first reaction is to doubt her husbands ability to achieve it, (Thou wouldst be great, Art not without ambition, but without the illness should attend it). Her use of the word illness refers to her suspicion that Macbeth does not possess the necessary ruthlessness to enable him to become king. This establishes her as the dominant partner in their marriage, which extends to her taking the lead in the plot to supplant Duncan with Macbeth. Her invocation of evil spirits is an invitation to Satan to purge her of her humanity (And fill me from the crown to the toe top-full / Of direst cruelty) so to as better enable herself to conspire to murder. Lady Macbeth is aware that her husband has great affection for her (he calls her My dearest partner of greatness and my dearest love), and uses this to her own advantage when she persuades Macbeth to follow through with her plan when he has doubts (We will proceed no further in this business). She achieves this by calling into question his love for her (Such I account thy love) and uses this supposed implantation of doubt in his character as a tool by which she can control him. When she uses the word desire for his ambition (As thou art in desire), she is attacking his masculinity and insinuating that if he does not do this he is not really a man. There are two elements of desire she refers to, the ambition to become king, and also implying sexual desire by which she is challenging his masculinity and provoking a reaction. Macbeth takes the bait (I dare do all that may become a man), meaning he is now resolved to proving to her that he is a man. She says she will not consider him a man until he fulfils his promise (And to be more than what you were, you would be so much more the man). This also demonstrates her use of flattery to coerce him to her will. Another emotional tool Lady Macbeth wields to her advantage is the memory of hers and Macbeths deceased child. (How tender tis to love the babe that milks me, / I would dashed the brains out, had I so sworn as you / Have done to this.) She uses this memory as a shock tactic, evoking the raw anger and passions that stem from losing a child, to show Macbeth that had she promised to do something she would honour that promise, and so must he. We know that Macbeth has no children from a conversation Macduff has with Malcolm, telling him that Macbeth has no children. Therefore we must deduce the Macbeths have suffered a bereavement, for Lady Macbeth previously mentions the feelings of motherhood. From this we see Lady Macbeth does play a substantial role in the killing of Duncan, however she argues she was justified to take this course of action because her husband Macbeth wants her to, or else he wouldnt have sent the letter. What beast wast, then, / That made you break this enterprise to me?). His letter to Lady Macbeth could possibly be his subconscious mind, anticipating his inhibitions, and so constructing an external force, in the form of Lady Macbeth, to impede any change of mind or unwillingness to kill Duncan. Earlier pre-Freudian commentators thought that Lady Macbeth was over-reacting to Macbeths remarks on the witches. However in the light of Freuds theories on the unconscious mind (that your statements reflect your deepest preoccupations), Macbeths mentioning of the witches prophecy in his letter to his wife could be interpreted as an invitation to her to help him realise it. It seems that Macbeth would not have killed Duncan without the pressure from his wife. However his initial openness to believe that the witches prophecies are true (Tell me more), are indicative of his underlying aspirations to be king. Banquo, who was himself prepared to indulge in their stories, and even invited them (Speak then to me) harboured no such allusions of entitled greatness. He quickly tries to relinquish the witches promises, dismissing them as tricks (The instruments of darkness tell us truthsto betrays in deepest consequence). Shakespeare was constrained in his ability to portray Banquo as anything less than chivalrous because of his historical relation to James I, who believed him to be a distant ancestor. However, Shakespeare was able to use Banquo as a dramatic contrast to Macbeth. In Act 2 Scene 1 Banquo was able to resist his temptations by the calling of heavenly powers to help banish the traitorous thoughts from his mind. In contrast Macbeths own willingness to believe in the witches so fervently is an indicator of an already formulated plan to deprive Duncan of his throne. Throughout the play Macbeth continuously abdicates responsibility for his actions (I go, and it is done; the bell invites me), preferring to concentrate on his end goal rather than the suffering he is causing in the present. Macbeth says of the hallucinated dagger Thou marshallst me the way that I was going, which demonstrates his belief that fate (represented through the instrument of murder, the dagger) is compelling him to commit these acts of evil by leading his hand for him. (If it were done when tis done, then twere well / It were done quickly). Here he shows he takes no pleasure in his actions and wants them over as soon as possible. The audience understands that this is just a coping mechanism that allows him to carry out these evil deeds; however his ability to remain apathetic and dissociated with his actions does not allow him to escape ultimate responsibility. Shakespeares attempts at dealing with issues of responsibility and motivation in his characters bring up some initially unexpected conclusions upon penetrating the surface. The most telling of these is perhaps Macbeth himself, whose conflicted aspirations of greatness, greed and apathy in the face of suffering are indicative of the worst of human nature. Another character who demonstrates a number of human qualities is Lady Macbeth, who has often been misrepresented as the figurehead of greed and self-interest in the past. In fact she could possibly be seen as the victim of an indecisive husband who uses her to carry his burdens of self doubt and insecurity. The witches initial roles as catalysts of events through their indiscriminate torture of Macbeth are in fact, when considered within the context of James Is book Daemonologie, sent by God as judges to test Macbeth. The underlying message of the play is the uncomfortable responsibility that we must all take responsibility for our own actions, and that however much wed like to be able to pass blame, we cant.

The Demand Of Petroleum Products In Ghana Economics Essay

The Demand Of Petroleum Products In Ghana Economics Essay Over decades, there has been no commodity price that has received so much attention predictions and speculations than crude oil price. However, intellectuals always fail in their predictions to produce the expected results. Crude oil in its original state has no value to the consumer until it is transformed into useable products such as Liquefied petroleum Gas (LPG), Kerosene, Gasoline, Diesel and other petrochemicals.  [1]  In most countries, motor fuels (Gasoline and Diesel) are always dominant than other petrochemicals. But Liquefied Petroleum Gas and other natural gas are becoming more visible in todays global oil and gas industry.  [2]  Like any other commodity in the market, the prices of these products as well as their demand, keep responding to changes in crude oil price and other market conditions. This movement in fuel prices causes worry among pundits, politicians and everyone who uses these products. Petroleum products get to the final consumer or to the market th rough different channels. The sales of these products also vary from one market or geographical location to another. Refiners either sell to wholesalers or sell to company-owned or company franchised retail sites.  [3]  For example, in the United States of America, the open market dominates and has a greater share of the market. However, in countries such as Malaysia, Mexico and most developing countries National Oil Company (NOC) own retail outlets and hypermarkets control majority share of the petroleum product market. In most West African countries one can even see by the roadside, these products filled in bottles and jars for sale.  [4]   This shows how important these products are in the day to day activities of consumers. Ghana imports crude needs from other countries to meet almost all of its crude needs and as such face the consequences of price volatilities. Ghana like most other developing countries is faced with the problem of a pricing scheme of petroleum products that will be acceptable to the population but which will not also cripple the economy. This is because the government of the day always subsidise the prices of these products as a way of reducing the impact on the ordinary Ghanaian consumer  [5]  . Since 2000, there has been a consistent rise in the consumption level of petroleum products even though the prices of these products keep increasing  [6]  . Many have tried to analyse the effect of changes in the price of these products on the final demand and on the welfare of the consumer in other countries. But, there seems to be little literature on that of Ghana. This study therefore seeks to analyse the effect of changes in crude oil price on the demand of petroleum products in Ghana. The underlying assumption is that, any change in crude oil price manifest itself in the prices of the derived products such as petrol, diesel, LPG, kerosene and other petrochemicals. The study employed an econometric method as a way of examining and analysing the effect of changes in price of the various products on the total demand of petroleum products (petrol, diesel, LPG and Kerosene) in Ghana from 2000 up to 2011. This study is organised into four chapters. Chapter one covered the Introduction. The background as well as the demand for petroleum and the theoretical framework are captured in chapter two. Chapter three contained the analysis and discussions of the findings. Chapter four is the concluding chapter. It also captures some recommendations. CHAPTER TWO 2.0 BACKGROUND 2.1 Global Demand for Petroleum Products The oil and Gas industry is one of the largest and complex global industries which touch almost every part of the human life with products such as gasoline, kerosene, gasoil, lubricants and thousands of petrochemicals products. The demand for crude oil is derived demand  [7]  . As indicated earlier on, crude oil in its original state has no value to the consumer until it is transformed into useable products such as Liquefied petroleum Gas (LPG), kerosene, Gasoline, Diesel and other petrochemicals  [8]  . The demand for these products over the past decade has been increasing in both industrial and developing economies  [9]  . There is no product price that has received so much predictions and speculations than crude oil price. But these predictions in most cases failed to produce the expected results. Like any other commodity in the market, the prices of these products as well as their demand, keep responding to changes in crude oil price and other market conditions  [10 ]  . According to Suleiman 2009, consumption of petroleum products in Indonesia has grown significantly and as a result, by 2004, Indonesia had become a net-importer of both crude oil and refined products  [11]  . 2.2 Demand for Petroleum Products in Ghana The Ghanaian economy depends solely on import for its petroleum needs. The Tema Oil Refinery (TOR) is the only refinery in the country charged with the responsibility of refining crude oil to produce petroleum products for domestic demand  [12]  . But, its inability to carry out this mandate effectively and efficiently has given rise to importation of some petroleum products from neighbouring country  [13]  . Approximately, 70% of the demand is met with products are produced by TOR and the remaining 30% from imports. The country imported its entire crude oil requirement as at December 2010, which is refined at TOR. However, this is looking to change as the country now produces oil in commercial quantities. The petroleum products marketed in Ghana are Premium Gasoline, Kerosene, Residual Fuel oil, Gas oil, LPG and Premix  [14]  . Bulk supply of these products is reliable and is done through an extensive infrastructural network comprising of storage depots located at strategic parts of the country, pipelines for the movement of petroleum products, Bulk Road Vehicles (BRVs) and also barges located on the Volta Lake  [15]  . The actual supplies however improved compared to the previous year and for that matter shortage of LPG and diesel were not as serious as in 2010. There are a number of factors influencing the consumption of petroleum products in the country. Among these factors are prices of the various products, real income of the consumer, changes in the number of consumers as well as the availability of these products. For instance, significant increases in retail prices of LPG for vehicular fuel have helped in reducing its consumption and on the other hand increased consump tion of gasoline and invariably the sales of the latter  [16]  . Inability to raise the required and adequate funds for the required LPG import due to cross-subsidisation enjoyed by the product might have also contributed to moderate LPG consumption compared to the Energy Commissions forecast during the year  [17]  . It was projected that the requirements for the major petroleum products-gasoline, kerosene, gas oil and LPG will increase significantly from 1.62 million tons in 2005 to 2.49 million tons by 2015 representing an annual growth rate of 5.3% over the period  [18]  . Access to petroleum products in Ghana is satisfactory, but has to be improved as the population grows. As at 2010 there were a total of 1700 petroleum products retail outlets of which 37% are Service Stations (SS), 20% are Filling Stations (FS) and 43% are Reseller Outlets (RO)  [19]  . The total number of retail outlets represents an access ratio of 71 retail outlets per 1,000,000 people  [20]  . There are also vendors who sell mainly kerosene in rural communities, thereby increasing the accessibility of petroleum products in most part of the country. The National Petroleum Authority (NPA) is a statutory agency responsible for regulating, overseeing and monitoring the petroleum downstream industry in Ghana to ensure efficiency, growth and consumer satisfaction  [21]  . It is also charged with the responsibility of monitoring and regulating petroleum prices in accordance with the prescribed pricing formula. With strong economic growth and steady population growth over the past years, Ghanas total energy demand for petroleum products has grown substantially. Table 1 show the total demand for the various petroleum products in the country. It also included the Gross Domestic Product (GDP) of Ghana from 2000 to 2011. Figure 1 shows the trend of movement for the same period under study. TABLE 1: PETROLEUM PRODUCT CONSUMPTION AND GDP YEAR PETROLEUM PRODUCT CONSUMPTION GROSS DOMESTIC PRODUCT (GDP) 2000 5,536.30 4,977.50 2001 5,895.20 5,176.60 2002 6,109.00 5,409.50 2003 6,048.20 5,690.80 2004 6,338.10 6,009.50 2005 6,505.10 6,364.10 2006 7,131.70 6,771.40 2007 7,407.60 7,208.80 2008 7,526.30 7,816.50 2009 8,160.40 8,180.60 2010 8,349.90 8,722.20 2011 8,877.10 9,890.90 SOURCE: National Energy Statistics 2000-2011 From the table above, the total energy demand for petroleum products 5,536.30 kilotonnes in 2000. This increased to about 8,877.10 by the end of 2011. It shows an average annual increase of 4.01% in energy demand. GDP which shows the real income of the country was US$4,977.50 billion as at 2000 and increased to US$ 9,890.90 billion by the close of 2011. This also shows an average annual growth rate of 4.5% within the same period understudied. This is a clear indication that, as the real income of the country increases, more petroleum products are demanded even though price of crude oil was on the increase as indicated in table 2 below. FIGURE 1: TREND IN GDP AND TOTAL PETROLEUM PRODUCT DEMAND From figure1 above, it is clear that, there is a strong correlation between petroleum product demand and the GDP of Ghana. The trend shows that as GDP grows, demand for petroleum products grows as well. Its further shows that as the real income of consumers increase, they tend to demand more of these products and hence movement of the two curves in the same direction. TABLE 2: PRICES OF CRUDE OIL AND SOME PETROLEUM PRODUCTS YEAR CRUDE OIL (Brent price US$) DIESEL PRICE (US$/l) PETROL PRICE (US$/l) KEROSENE PRICE (US$/l) LPG PRICE (US$/kg) 2000 28.5 0.4 0.3 0.3 0.5 2001 24.4 0.3 0.3 0.3 0.3 2002 25 0.4 0.3 0.3 0.4 2003 28.8 0.5 0.5 0.4 0.5 2004 38.3 0.6 0.5 0.5 0.5 2005 54.5 0.8 0.7 0.6 0.6 2006 65.1 0.9 0.8 0.7 0.8 2007 72.4 0.98 0.9 0.8 0.9 2008 97.3 1 1.1 1 0.9 2009 61.7 0.7 0.7 0.6 0.5 2010 79.5 0.8 0.8 0.6 0.6 2011 111.3 1.1 1 0.6 0.7 SOURCE: National Petroleum Authority From Table 2 also, it can be seen that crude oil price has been volatile, but generally on the rising side from 2000 up to 2011. The price of crude oil was US$ 28.5 in 2000 which decrease to about US$ 25 in 2002. It picked up again in 2003 and rose continuously to a high of US$ 111.3 by the end of 2011. Also prices of the various petroleum products responded accordingly to changes in the price of crude oil as indicated in table 2 above. In 2000, diesel was sold at US$ 0.4 per litre, petrol US$ 0.3 per litre, LPG US$ 0.5 per kg and kerosene was US$ 0.3 per litre. However, as crude price increases, the prices of diesel, petrol and kerosene also increased to US$ 1.1, US$1.0 and US$0.6 per litre respectively by the end of 2011. LPG also increased to US$ 0.7 per kg over the same period. FIGURE 2: TREND OF PRICES OF CRUDE OIL AND PETROLEUM PRODUCTS From Figure 2 above, it is also clear that, the prices of the various petroleum products respond positively and directly to changes in crude oil prices. This can be explained by the fact that, these products are derived from crude oil and hence, any change in its price or quantity will have corresponding effects on its products. 2.3 Theoretical framework The price of crude oil has been characterised by major swings especially in the 1970s and 2008 and has always impacted on the demand for petroleum products. This has increase the interest of many economists and other intellectuals and has since led to a number of studies that seek to investigate the relationships between real income, real prices and the consumption of petroleum products  [22]  . Dahl (1994) conducted a survey of petroleum demand in developing countries  [23]  . The result showed that the average price elasticity of demand of petroleum products for developing countries was -0.36, and income elasticity was 2.20. This suggested that, the demand for petroleum products is more responsive to changes in income than changes in real prices. Suleiman S.2009, used selection criteria from various models as way of cointegration approach to estimate the price and income elasticities of demand for total petroleum products such as gasoline and diesel in Indonesia. The results suggested that both total products and gasoline share estimates are more responsive to changes in income than changes in the real price of petroleum products. Based on this, he suggested that policy makers may need to use market-based pricing policies and other policies such as public enlightenment in addition to regulations like minimum energy efficiency standards to promote efficiency and conserv ation and curb the rising consumption of petroleum products in Indonesia.  [24]   Akin et al 2009 conducted empirical studies which sort to estimate the demand elasticities of petroleum products in Nigeria. The study employed a multivariate cointegration approach to estimate both the short-run and long-run price and income elasticities. The result showed that, energy consumption responds positively to changes in GDP and negatively to changes in energy prices. The study concluded that both price and income elastticities are inelastic even though the elasticities of demand vary according to product type.  [25]   Maria et al 2011 employed an econometric method developed by Deaton to calculate the price and income elasticities of demand for domestic energy in Mozambique. The calculations were done for all households at the national level, differentiating urban household from that of rural folks. The result showed that the responsiveness to changes in both price and income were higher for high-grade energy sources such as gasoline, diesel and LPG and lower for low-grade sources such as charcoal and fire-wood. They concluded by indicating that, the potential for energy transition in the domestic context is not directly visible from the price and income elasticities.  [26]   2.4 Methodology From the theoretical framework above, Dahl (1994), Suleiman S. (2001) and Akin et al all employed the cointegration approach in analysing the relationship between demand of petroleum products and changes in price. Maria et al (2011) applied an econometric method developed by Deaton in their study  [27]  . This study follows the approach adopted by Maria et al (2011). It is advantageous because it uses unit values as the prices of goods and hence provides the opportunity for the use of individual fuel prices. However, the usage of these unit values can lead to biased elasticity estimates  [28]  . The total demand for petroleum products (share of gasoline, Diesel Kerosene and LPG) can be specified as a function of real per capita GDP and real prices of Gasoline, Diesel, Kerosene and LPG. This can be modelled as follows: ED= f (GDP per capita, Price of Petrol, price of Diesel, price of Kerosene and price of LPG)à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ (1) Forming a linear regression equation from the function gives; Ed= a0 + b0GPD/p + c0pP + d0pD + e0pK + f0pLPG + u0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ (2) Both the dependent variable and the independent variables are transformed to natural logarithms and hence double log estimation equation. This is written as follows lnEd= a0 + b0lnGPD/p + c0lnpP + d0lnpD + e0lnpK + f0lnpLPG + u0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ (3) Edà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦.. Demand for petroleum products GDP/pà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦.. Gross Domestic Product per capita pPà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦..price of petrol pDà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦..price of Diesel pKà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ price of Kerosene pLPGà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦price of Liquefied Petroleum Gas a0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦..constant term u0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦..stochastic term CHAPTER THREE: 3.0 ANALYSIS AND OUTCOMES Using the double log estimation equation as; lnEd= a0 + b0lnGDP/p + c0lnpP + d0lnpD + e0lnpK + f0lnpLPG + u0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦ Where, Edà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦.. Demand for petroleum products GDP/pà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦.. .Gross Domestic Product per capita pPà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦.. price of petrol pDà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦. price of Diesel pKà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦..price of Kerosene pLPGà ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦.price of Liquefied Petroleum Gas a0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦constant term u0à ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦Ãƒ ¢Ã¢â€š ¬Ã‚ ¦stochastic term TABLE 3: REGRESSION ANALYSIS lnGDP/p lnpP lnpD lnpK lnpLGP coefficients 1.017487 0.081134 -0.0214456 0.049237 -0.11419 p- values 0.022904 0.822455 0.925098 0.732547 0.276798 R Square 97.8% Confidence interval 95% Standard error 0.029936 Source: Arthurs construct 3.1 Discussion of outcomes 3.1.1 Gross Domestic Product per capita From the analysis summarised in table 3, GDP per capita as a variable shows a positive sign in its coefficient against demand for petroleum products. This implies that, as real per capita income of consumers increases, their demand for petroleum products increase as well. Its p-value of 0.022904 is also below the significant level of 0.05 (95% confidence) which is an indication that, the effect of changes in GDP per capita on the demand for petroleum products is statistically significant. 3.1.2 Petrol In terms of elasticities, a coefficient of 0.081134 for petrol shows that, the demand for it is inelastic. This implies that changes in the price of petrol leads to less than proportionate change in demand. The positive sign however does not follow the a priori expectation. But it shows that, over the period under study, there is a direct relationship between demands and price of petrol. Thus, any increase in the price petrol leads to an increase in its demand. The p- value however confirms that, this direct effect is not significant at 0.05 significance level since the value 0.822455 is greater than 0.05 (significance level). 3.1.3 Diesel From the table, the coefficient of diesel is quite revealing as it follows the a priori expectations in it demand. It has the expected negative sign which confirms that any increase in it price will result in decrease in it demand and hence decreasing the level of total demand for petroleum products in Ghana. But this is not significant at 95% confidence interval as the p-value of 0.925098 is greater than 0.05. 3.1.4 LGP Also from the table, the coefficient of LPG revealed the a priori expectations in it demand. It has the expected negative sign which confirms that any increase in it price will result in decrease in it demand. This is an indication that, decrease in the level of total demand for petroleum products in Ghana can be the result of increases in the price of LPG. But this is also not statistically significant at 95% confidence interval as the p-value of 0.276798 is greater than 0.05. Thus, inelastic demand for LPG. 3.1.5 Kerosene The variable price of kerosene shows a positive sign. This sign again does not follow the a priori expectation. This result implies that, there is a direct relationship between demands of kerosene and its price and hence, any increase in the price kerosene leads to an increase in its demand. But this is not the case or the expectation as the demand for kerosene decrease due to increases in it price. However, the p- value shows that, this direct effect is not significant at 0.05 significance level since the value of 0.732547 is greater than 0.05. The R2 of the analysis is measures the overall goodness of fit of the regression. The test result indicates that, the R2 =0.978 = 97.8%. It shows that the independent variables (GDP per capita, price of petrol, price of diesel, price of LPG and price of kerosene) explain the dependent (demand for petroleum products) variable to the tune of 97.8%. CHAPTER FOUR: 4.0 Conclusion This study analysed the effect of oil price change on the demand for petroleum products. This effect is analysed through the changes in the various prices of the major petroleum products (petrol, diesel, LPG and kerosene) consumed in Ghana from 2000 to 2011. The study employed a double log equation in its analysis. It included the Gross Domestic Product per capita as a measure of the real income of consumers. The results show that aggregate demand for petroleum products in Ghana follows with the a priori expectations of negative price elasticity and positive income elasticity. The results also showed that, the demand for petroleum products in Ghana has been on the increase from 2000 to 2011 and future still promise to show more increment if the economy maintain its strong growth pattern. The analysis of the results show that the real income of the consumer measured by GDP per capita has a positive sign which indicates that, as real per capita income of consumers increases, their demand for petroleum products increase as well. Its p-value of 0.022904 is also below the significant level of 0.05 (95% confidence) which shows that, the effect of changes in GDP per capita on the demand for petroleum products is statistically significant. The test result also shows that, for the period under consideration, the demand for the major petroleum products (petrol diesel LPG and kerosene) is inelastic even though their individual coefficients vary. Their prices continue to increase throughout the period under consideration as oil price increases. Total demand for these products increase as well. Notwithstanding the values of the study, it should be noted that energy demand might assume different implications in different economic sectors. Different sectors of the economy have different consumption behaviours and as such, have different optimal demand decisions under the same constraints and do not necessarily demand the same services from the various energy forms. Sectoral analyses of the demand for petroleum products will therefore, offer an in-depth analysis in future research works. 4.1 Recommendation In terms of policy implications, the study recommend that policy makers should design policy frameworks that will promote energy efficiency and conservation. These policies can be market-based pricing and taxation policies, policy that can ensure minimum energy efficiency standards and has the tendency of informing the public the consequences of the present trend in consumption and importation. Otherwise, the consumption of petroleum products is likely to continue to grow at a significant rate as long as per capita income continues to grow.