Levers Presentation

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    Design of Levers

    By:

    Er. Shankar Sehgal

    Faculty of Mech. Engg., UIET,Panjab University, Chandigarh

    Website: http://shankarsehgal.weebly.com

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    Basics

    A lever is a rigid rod or bar capable of turningabout a fixed point calledfulcrum.

    The ratio of load lifted to the effort applied is

    called mechanical advantage. W l1 = P l2

    The ratio of the effort arm to the load arm i.e.l2/ l1 is calledleverage.

    1

    2

    l

    l

    P

    W

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    First Type of Lever

    Fulcrum is in between load and effort

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    Second Type of Lever

    Load is in between fulcrum and effort

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    Third Type of Lever

    Effort is in between load and fulcrum

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    Design of a Lever

    Known parameters: Load or Weight, W

    Parameters to be calculated:

    Effort , P or Lever Arm Length, L (Assume P and Calculate Lor vice versa)

    Reaction at fulcrum, RF Maximum bending moment acting on cross-section of

    lever arm, M

    Parameters to be designed: Cross-section of lever arm

    Diameter and length of pins

    Diameter and length of boss

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    Cross-section of Lever Arm

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    Hand Lever

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    Design of Hand Lever

    d = diameter of shaft

    d2 = diameter of boss = 1.6 d

    t2 = thickness of boss = 0.3 d l2 = length of boss = 1.25 d

    t = thickness of lever = 2 t2

    B = width of lever = 5 t M = applied bending moment = P x L

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    22

    2

    2

    tl

    td

    LP

    A

    F

    Tearing Failure of Boss:

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    Bending Failure of Boss:

    12

    2

    2

    2 33222

    dtdl

    LP

    td

    I

    M

    y

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    Also design the diameter of shaft at the centre of

    bearing by considering the equivalent stresses

    concept

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    Check for Bending Failure of Lever Arm:

    122

    3tB

    LP

    B

    I

    M

    y

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    Foot Lever

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    Design of Foot Lever

    Effort applied = 80 kg = 800 N

    Design is similar to a Hand Lever

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    Bell Crank Lever

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    Design of Fulcrum

    Double Shearing Failure of Pin:

    42

    2

    1d

    R

    A

    FF

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    Design of Fulcrum

    Bearing Failure

    of Pin:

    11ld

    R

    A

    F F

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    Design of Fulcrum

    Length of bush = length of fulcrum pin

    Thickness of bush = 3 mm

    Diameter of bush = 2 x Diameter of pin

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    Design of Fulcrum

    Check for Bending Failure of Fulcrum:

    12

    427245

    2

    72 33

    M

    I

    M

    y

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    Design of Fork End (if any)

    D1 = 2 x d1t1 = l1 / 2

    Inner dia. of

    each eye =

    d1 + 2 x 3 mm

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    Design of Fork End (if any)

    Bending failure of the

    pin at fork end:

    64

    42322

    2

    4

    1

    111

    1 d

    lWtlW

    d

    IM

    y

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    Design of Lever Arm

    Use bending failure criteria

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    Thank You