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    Tutorial em

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    Beesam Ramesh Kumar
    This document provides instructions and problems for an engineering mechanics tutorial on the principle of virtual work. It assigns two batches of students different problem sets from a list of 9 problems dealing with static equilibrium concepts like forces, torques, and springs. It provides the problems, diagrams, and relevant information needed to solve each problem. It also provides due dates for homework submissions and an optional bonus problem analyzing when the principle of virtual work is most beneficial to use.

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    Tutorial em

    Uploaded by

    Beesam Ramesh Kumar
    192 views3 pages
    This document provides instructions and problems for an engineering mechanics tutorial on the principle of virtual work. It assigns two batches of students different problem sets from a list of 9 problems dealing with static equilibrium concepts like forces, torques, and springs. It provides the problems, diagrams, and relevant information needed to solve each problem. It also provides due dates for homework submissions and an optional bonus problem analyzing when the principle of virtual work is most beneficial to use.

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    This document provides instructions and problems for an engineering mechanics tutorial on the principle of virtual work. It assigns two batches of students different problem sets from a list of 9 problems dealing with static equilibrium concepts like forces, torques, and springs. It provides the problems, diagrams, and relevant information needed to solve each problem. It also provides due dates for homework submissions and an optional bonus problem analyzing when the principle of virtual work is most beneficial to use.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    192 views3 pages

    Tutorial em

    Uploaded by

    Beesam Ramesh Kumar
    This document provides instructions and problems for an engineering mechanics tutorial on the principle of virtual work. It assigns two batches of students different problem sets from a list of 9 problems dealing with static equilibrium concepts like forces, torques, and springs. It provides the problems, diagrams, and relevant information needed to solve each problem. It also provides due dates for homework submissions and an optional bonus problem analyzing when the principle of virtual work is most beneficial to use.

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    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
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    INDIAN INSTITUTE OF TECHNOLOGY -TIRUPATI

    Engineering Mechanics Tutorial – 3


    Topic: Principle of virtual work
    Batch 1: Problems: 1, 4, 5
    Batch 2: Problems: 2, 3, 5
    Due Date for HW: 31/01/2018 (Batch-1) and 02/01/2018 (Batch-2)

    1. Determine the required force P (in the figure below)


    needed to maintain equilibrium of the scissors
    linkage when = 60 . The spring is unstretched
    when = 30 . Neglect the mass of the links.

    2. The scissors linkage is subjected to a force of


    P = 150 N. Determine the angle θ for
    equilibrium. The spring is unstretched at =
    0 . Neglect the mass of the links.

    3. In the design of the claw for the remote-


    action actuator, a clamping force C is
    developed as a result of the tension P in the
    control rod. Express C interms of P for the
    configuration shown, where the jaws are
    parallel.

    4. The designers of lamp mechanisms, such as that shown in the figure, usually
    rely on joint friction to aid in
    maintaining static
    equilibrium. For the present
    problem, ignore friction at
    all the joints. If the mass of
    the lamp fixture is 0.6 kg
    with mass centre at G,
    determine the spring force
    Fs and Moment at C Mc
    necessary for equilibrium in the position shown.
    5. An inventor devises a springboard playground toy for children which consists
    of a tough, lightweight plastic board attached to a heavy steel frame by three
    springs. The free lengths of all three springs
    are 300 mm and the spring constants are =
    = 17 ; = 21 / . In order to test the
    strength of the connections, the inventor, who
    weighs 620 N, climbs onto the board and
    stands at several places. As she stands at the
    location shown, what forces are transmitted to
    the frame connections? What is the central
    vertical deflection of the board and the angle
    the board make with the horizontal?

    Hint: Consider two degrees of freedom- one is


    the displacement in vertical deflection of the
    centre of the board and the second is the angle of rotation of the board it makes
    with the horizontal.

    6. Design criteria require that the robot exert the 90 N force on the part as shown
    while inserting a cylindrical
    part into the circular hole.
    Servomotors at A, B and C
    generate the required
    torque/moments. Determine
    the moment about points A, B
    and C for the static
    equilibrium as shown in the
    given position.

    7. The gear train shown is used to transmit motion to the vertical rack D. If an input
    torque M is applied to gear, what force F is
    required to establish equilibrium of the system?
    Gear C is keyed to the same shaft as gear B.
    Gears A, E, B and C have pitch diameters
    , , , and respectively. Neglect the
    weight of the rack. From your analysis try to
    comment on the use of the intermediate gear E.
    8. The speed-reduction gear between an airplane engine and the propeller usually
    is of the planetary type. The
    engine is directly coupled to a
    central gear A, which meshes
    with a number of planet gears B,
    C and D. The planet gears mesh
    with an internal gear E, which
    does not rotate, but which is
    rigidly mounted to the engine
    frame and hence to the airplane.
    The planet-gear shafts fit in the
    bearings in a spider S, which has
    a central bearing fitting around the shaft of the centre gear and engine A. It is
    to this spider that the airplane propeller is attached. Thus the engine shaft A is
    free to rotate inside the spider bearing S. The sketch shows the case of three
    plane gears, with diameters , = = , for the gears A, B, C, D and
    E respectively.
    If a torque moment is applied to the engine shaft, what torque must set
    on the propeller D and on the engine frame C for static equilibrium?

    9. (Bonus problem, Optional):


    In principle, for a system in static equilibrium either the principle of
    virtual work or the principle of force component resolution for static
    equilibrium can be used to solve the problem. For each of the
    problems in Tutorial 2, use principle of virtual work to solve the
    problem. Identify under what conditions (Which kind of problems) it
    is beneficial to use method of virtual work rather than analysing the
    problem using equations of static equilibrium.

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