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Mechanisms Dean Hackett March 2012 Types of motion • • • • Linear Rotary Reciprocating Oscillating Simple (Basic) Machines • Two ‘families’ – Inclined plane – lever Simple Machines • • • • • • Inclined plane Wedge Screw Lever Wheel and axle Pulley Work = Force x distance Classes of Lever • Class 1 • Class 2 • Class 3 Types of Linkage • Parallel • Reverse motion • Bell crank • Treadle • Crank slider Have a think... Lever Mechanisms Load xN Effort 10N 4m 1m Fulcrum Load yN Effort 10N 1m Fulcrum 4m Mechanical Advantage Load Mechanical Advantage = Effort Load 40N Effort 10N 4m 1m Velocity Ratio Distance moved by Effort Velocity Ratio = Distance moved by Load Load 40N Effort 10N 4m 200mm 1m 50mm Efficiency Efficiency = V.R. Load 40N Effort 10N 4m 200mm M.A. 1m 50mm x 100% Lever Mechanism What load can this person lift? Rotary Motion A Pulley Mechanism uses rotary motion to transmit rotary motion between two parallel shafts. Discuss... • How do you attach a pulley to a shaft? Mechanisms using Rotary Motion Pulley mechanisms can be used to increase or decrease rotary velocity Velocity Ratio Distance moved by Effort Velocity Ratio = Distance moved by Load Distance moved by the driver pulley Velocity Ratio = Distance moved by the driven pulley Diameter of Driven Pulley Velocity Ratio = Diameter of Driver Pulley Velocity Ratio Pulley Shaft Rotary Velocities can be calculated using the following formula rotary velocity of driven pulley x diameter of driven pulley = rotary velocity of driver pulley x diameter of driver pulley rotary velocity of driven = rotary velocity of driver x diameter of driver pulley diameter of driven pulley What is the rotary velocity of the driven pulley shaft? rotary velocity of driven = rotary velocity of driver x diameter of driver pulley diameter of driven pulley = 450 x 30 90 = 150 revs/min revs/min Pulleys and Belts Vee pulley and section through a vee pulley and belt A section through a grooved pulley and round belt Stepped cone pulleys provide a range of shaft speeds Flat belts and pulleys A section through a flat pulley and belt Jockey pulley in use Flat belt in use on a threshing machine Chains and sprockets Bicycle chain and sprockets Graphical symbols number of teeth on the driven sprocket Velocity Ratio = number of teeth on the driver sprocket = 12 36 = 1:3 Example Pulleys and Lifting Devices The pulley is a form of Class 1 lever Movable single pulley Pulleys Distance moved by Effort Velocity Ratio = Distance moved by Load Velocity Ratio = the number of rope sections that support the load Two Pulley System Distance moved by Effort Velocity Ratio = Distance moved by Load 2x Velocity Ratio = x Velocity Ratio = 2:1 Four Pulley System Distance moved by Effort Velocity Ratio = Distance moved by Load 4x Velocity Ratio = x Velocity Ratio = 4:1 Cams Cams Uses Pear shaped cams are used in valve control mechanisms Cams used in a four cylinder engine http://www.youtube. com/watch?v=OXd1 PlGur8M&feature=re lated Cam motions Types of cam follower Types of cam follower Springs are used to keep the follower in contact with the cam Cam Profiles Displacement graph for a pear shaped cam Displacement Graphs Bearings Thrust Bearings Bearings Bearings • • • • • • • Bronze Nylon PTFE Air White metal Cast Iron Sintered Gears Gears Gears are not only used to transmit motion. They are also used to transmit force. Gears Number of teeth on the driven gear Mechanical Advantage = Number of teeth on the driver gear Velocity Ratio = Gear Ratio = Number of teeth on the driven gear Number of teeth on the driver gear Gears Gears Gear Ratio = Product of teeth on the driven gears Product of teeth on the driver gears Gears Gears Gears Gears http://www.youtube. com/watch?v=9NoQ m0wnK_c&feature=r elated http://www.youtube. com/watch?v=K4Jhr uinbWc&NR=1 Basic Gear Geometry http://www.sdpsi.com/D190/PDF/D190T25.PDF The inclined plane The inclined plane The inclined plane Effort required to pull trolley up slope sin = 1/100 = 0.01 F = effort E F = 1000 x sin F = 1000 x 0.01 M.A. = 1000/10 = 100 F = 10N E = 10N Follow link to see effects of steeper incline: http://lectureonline.cl.msu.edu/~mmp/applist/si/plane.htm The screw thread Screw thread terms Screw thread forms Screw thread forms Screw thread forms B.S. PD7308 Newton’s Laws • First Law – A body continues in its state of rest or uniform motion in a straight line unless compelled by some external forces to change that state. (sometimes know as the law of inertia) Newton’s Laws • Second Law – Rate of change of momentum is proportional to the applied force and takes place in the direction in which the force acts. (Continued force means continued acceleration) Newton’s Laws • Third Law – To every action there is an equal and opposite reaction