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    Mechanisms

    Dean Hackett March 2012

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    Types of motion

    Linear

    Rotary Reciprocating

    Oscillating

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    Simple (Basic) Machines

    Two families

    Inclined plane lever

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    Simple Machines

    Inclined plane

    Wedge Screw

    Lever

    Wheel and axle

    Pulley

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    Work = Force x distance

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    Classes of Lever

    Class 1

    Class 2

    Class 3

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    Types of Linkage

    Parallel

    Reverse motion

    Bell crank

    Treadle

    Crank slider

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    Have a think...

    http://cooler-server/Central/Documents/Uni%20Teaching/2yr/Mechanisms%20and%20Structures/balancedBeam.swf
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    Lever Mechanisms

    Fulcrum

    4 m 1 m

    Effort

    10N

    LoadxN

    Fulcrum

    4 m1 m

    Effort

    10N

    LoadyN

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    Mechanical Advantage = Load

    Effort

    4 m 1 m

    Effort10N

    Load40N

    Mechanical Advantage

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    Velocity Ratio

    4 m 1 m

    Effort10N

    Load40N

    50mm200mm

    Velocity Ratio =

    Distance moved byEffort

    Distance moved byLoad

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    Efficiency

    4 m 1 m

    Effort10N

    Load40N

    50mm200mm

    Efficiency =

    M.A.

    V.R. x 100%

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    Lever Mechanism

    What load can this person lift?

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    Rotary Motion

    A Pulley Mechanism uses rotary motion to transmit rotarymotion between two parallel shafts.

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    Discuss...

    How do you attach a pulley to a shaft?

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    Mechanisms using Rotary Motion

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    Pulley mechanisms can be used to increase ordecrease rotary velocity

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    VelocityRatio Velocity Ratio =

    Distance moved byEffort

    Distance moved byLoad

    Velocity Ratio =

    Distance moved bythe driver pulley

    Distance moved bythe driven pulley

    Velocity Ratio =Diameter of Driven Pulley

    Diameter of Driver Pulley

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    Velocity RatioPulley 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 = diameter of driver pulley

    diameter of driven pulley

    rotary velocity of driver x

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    What is the rotary velocity of the driven pulley shaft?

    rotary velocity of driven = diameter of driver pulley

    diameter of driven pulley

    =30

    90

    revs/min

    = 150 revs/min

    rotary velocity of driver x

    450 x

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    Pulleys and

    Belts

    A section through agrooved pulley and

    round belt

    Vee pulley and section through a vee pulley andbelt

    Stepped cone pulleys provide a range of shaft speeds

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    Flat belts

    andpulleys

    A section through a flatpulley and belt

    Flat belt in use on athreshing machine

    Jockey pulley in use

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    Chains andsprockets

    Bicycle

    chain andsprockets

    Graphical symbols

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    Velocity Ratio =number of teeth on the driven sprocket

    number of teeth on the driver sprocket

    =12

    36

    = 1 : 3

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    Example

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    Pulleys and Lifting Devices

    Thepulley is

    a formof Class1 lever

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    Movable single pulley

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    Pulleys

    Velocity Ratio =

    Distance moved by

    Effort

    Distance moved byLoad

    Velocity Ratio = the number of rope sections that support theload

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    Two Pulley System

    Velocity Ratio =

    Distancemoved byEffort

    Distancemoved by

    Load

    Velocity Ratio =

    2x

    x

    Velocity Ratio = 2:1

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    Four Pulley System

    Velocity Ratio =

    Distancemoved byEffort

    Distancemoved by

    Load

    Velocity Ratio =

    4x

    x

    Velocity Ratio = 4:1

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    Cams

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    Cams

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    Uses

    Pear shaped cams are used in valvecontrol mechanisms

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    Cams usedin a four

    cylinderengine

    http://www.youtube.com/watch?v=OXd1PlGur8M&feature=related

    http://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=relatedhttp://www.youtube.com/watch?v=OXd1PlGur8M&feature=related
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    Cam motions

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    Types of cam follower

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    Types of cam follower

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    Springs are used to keep the follower incontact with the cam

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    Cam Profiles

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    Displacement graph for a pear

    shaped cam

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    Displacement Graphs

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    Bearings

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    ThrustBearings

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    Bearings

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    Bearings

    Bronze

    Nylon

    PTFE

    Air

    White metal

    Cast Iron Sintered

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    Gears

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    Gears

    Gears are not onlyused to transmit

    motion.

    They are also usedto transmit force.

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    Gears

    Mechanical Advantage =

    Number of teeth on thedriven gear

    Number of teeth on thedriver gear

    Velocity Ratio = Gear Ratio =Number of teeth on the

    driven gear

    Number of teeth on thedriver gear

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    Gears

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    Gears

    Gear Ratio =Product of teeth on the driven gears

    Product of teeth on the driver gears

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    Gears

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    Gears

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    Gears

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    Gears

    http://www.youtube.com/watch?v=9NoQm0wnK_c&feature=related

    http://www.youtube.com/watch?v=K4JhruinbWc&NR=1

    http://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=K4JhruinbWc&NR=1http://www.youtube.com/watch?v=K4JhruinbWc&NR=1http://www.youtube.com/watch?v=K4JhruinbWc&NR=1http://www.youtube.com/watch?v=K4JhruinbWc&NR=1http://www.youtube.com/watch?v=K4JhruinbWc&NR=1http://www.youtube.com/watch?v=K4JhruinbWc&NR=1http://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=9NoQm0wnK_c&feature=relatedhttp://www.youtube.com/watch?v=9NoQm0wnK_c&feature=related
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    Basic Gear

    Geometry

    http://www.sdp-

    si.com/D190/PDF/D190T25.PDF

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    The inclined plane

    The inclined plane

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    The inclined plane

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    The inclined

    plane

    Effort required to pull trolley up slope

    F = effort E

    F = 1000 x sin

    F = 1000 x 0.01

    F = 10N

    E = 10N

    sin = 1/100 = 0.01

    M.A. = 1000/10

    = 100

    Follow link to see effects of steeper incline:http://lectureonline.cl.msu.edu/~mmp/applist/si/plane.htm

    http://lectureonline.cl.msu.edu/~mmp/applist/si/plane.htmhttp://lectureonline.cl.msu.edu/~mmp/applist/si/plane.htm
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    The screw thread

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    Screw thread terms

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    Screw thread forms

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    Screw thread forms

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    Screw thread forms

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    B.S.

    PD7308

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    Newtons Laws

    First Law

    A body continues in its state of rest or uniform

    motion in a straight line unless compelled bysome external forces to change that state.

    (sometimes know as the law of inertia)

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    Newtons Laws

    Second Law

    Rate of change of momentum is proportional

    to the applied force and takes place in thedirection in which the force acts.

    (Continued force means continuedacceleration)

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    Newtons Laws

    Third Law

    To every action there is an equal and

    opposite reaction