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    Plate 2.B

    Uploaded by

    Joefer Magallanes
    This document contains 10 mechanics problems involving determining the equivalent force and/or couple systems for combinations of forces and couples acting on various structures. For each problem, the instructions are provided to calculate particular parameters of the equivalent system, such as the resultant force, couple moment, or direction/location of the force. The problems cover a range of mechanical applications including eye bolts, beams, vehicles, levers, and robots.

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    Plate 2.B

    Uploaded by

    Joefer Magallanes
    505 views11 pages
    This document contains 10 mechanics problems involving determining the equivalent force and/or couple systems for combinations of forces and couples acting on various structures. For each problem, the instructions are provided to calculate particular parameters of the equivalent system, such as the resultant force, couple moment, or direction/location of the force. The problems cover a range of mechanical applications including eye bolts, beams, vehicles, levers, and robots.

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    This document contains 10 mechanics problems involving determining the equivalent force and/or couple systems for combinations of forces and couples acting on various structures. For each problem, the instructions are provided to calculate particular parameters of the equivalent system, such as the resultant force, couple moment, or direction/location of the force. The problems cover a range of mechanical applications including eye bolts, beams, vehicles, levers, and robots.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    505 views11 pages

    Plate 2.B

    Uploaded by

    Joefer Magallanes
    This document contains 10 mechanics problems involving determining the equivalent force and/or couple systems for combinations of forces and couples acting on various structures. For each problem, the instructions are provided to calculate particular parameters of the equivalent system, such as the resultant force, couple moment, or direction/location of the force. The problems cover a range of mechanical applications including eye bolts, beams, vehicles, levers, and robots.

    Copyright:

    © All Rights Reserved
    Download as PDF, TXT or read online from Scribd
    Download as pdf or txt
    of 11

    Plate 2.

    B
    Prob. 1
    • Determine the resultant R of the
    three tension forces acting on
    the eye bolt. Find the
    magnitude of R and the angle θx
    which R makes with the positive
    x-axis.

    • Ans.
    Prob. 2
    • The flanged steel cantilever beam
    with riveted bracket is subjected to
    the couple and two forces shown,
    and their effect on the design of
    the attachment at A must be
    determined. Replace the two
    forces and couple by an equivalent
    couple M and resultant force R at
    A.

    • Ans.
    Prob. 3
    • Under nonuniform and slippery
    road conditions, the four forces
    shown are exerted on the four
    drive wheels of the all-wheel-
    drive vehicle. Determine the
    resultant of this system and the
    x- and y-intercepts of its line of
    action. Note that the front and
    rear tracks are equal
    • Ans.
    Prob.4

    • Replace the two forces and


    single couple by an equivalent
    force–couple system at point A.

    • Ans.
    Prob.5
    • The control lever is subjected to a
    clockwise couple of 80 N.m exerted
    by its shaft at A and is designed to
    operate with a 200-N pull as shown. If
    the resultant of the couple and the
    force passes through A, determine
    the proper dimension x of the lever.

    • Ans. 266mm
    Prob.6
    • Reduce the given loading system
    to a force–couple system at
    point A. Then determine the
    distance x to the right of point A
    at which the resultant of the
    three forces acts.

    • Ans.
    Prob.7

    • Three couples are formed by the


    three pairs of equal and
    opposite forces. Determine the
    resultant M of the three
    couples.

    • Ans.
    Prob. 8

    • The eyebolt supports the four


    forces shown. If the net effect
    on the bolt is a direct pull of 3
    kN in the x-direction, determine
    the necessary values of θ and T.

    • Ans.
    Prob. 9

    • Replace the three forces shown


    by an equivalent force–couple
    system at point A. If the forces
    are replaced by a single
    resultant force, determine the
    distance d below point A to its
    line of action.
    • Ans. 0.733mm
    Prob. 10

    • Calculate the moment of the


    250-N force about the base
    point O of the robot.
    • Ans. 189.6 N.m CCW

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