Machine Design Miscellaneous


  1. Two identical ball bearings Pand Q are operating at loads 30 kN and 45 kN respectively. The ratio of the life of bearing P to the life of bearing Q is









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    For ball bearing
    P.(L)1/3 = C
    Given: PP = 30 kN
    P2 = 45 kN

    LP
    =
    P2
    ³
    L2PP

    45
    ³ =
    3
    ³ =
    27
    3028

    Correct Option: B

    For ball bearing
    P.(L)1/3 = C
    Given: PP = 30 kN
    P2 = 45 kN

    LP
    =
    P2
    ³
    L2PP

    45
    ³ =
    3
    ³ =
    27
    3028


  1. Weldments in fabricated steel beams are designed for









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    NA

    Correct Option: C

    NA



Direction: A single riveted lap Joint of two similar plates as shown in the figure below has the following geometrical and material details.

width of the plate ω = 200 mm, thickness of the plate t = 5 mm, number of rivets n = 3, diameter of the rivet dr = 10 mm, diameter of the rivet hole dr= 11 M mm, allowable tensile stress of the plate σp = 200 MPa, allowable shear stress of the rivet σs = 100 MPa and allowable bearing stress of the rivet σc = 150 MPa.

  1. If the plates are to be designed to avoid tearing failure, the maximum permissible load P in kN is









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    For plates,

    σ
    P
    A

    ⇒ 200 =
    P
    (W - 3dh)t

    P = 167kN

    Correct Option: C

    For plates,

    σ
    P
    A

    ⇒ 200 =
    P
    (W - 3dh)t

    P = 167kN


  1. A bracket (shown in figure) is rigidly mounted on wall using four rivets. Each rivet is 6 mm in diameter and has an effective length of 12 mm.

    Direct shear stress (in MPa) in the most heavily loaded rivet is









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    Given: Number of rivets = 4,
    Diameter of each rivet, d = 6 × 10–3m
    Direct load on the bracket = 1000 N
    since there is no eccentricity

    ∴ Load on each rivet =
    1000
    = 250N
    4

    ∴ Shear stress =
    P
    =
    250
    = 8.8 MPa
    Aπ/4 (6)²

    Correct Option: B

    Given: Number of rivets = 4,
    Diameter of each rivet, d = 6 × 10–3m
    Direct load on the bracket = 1000 N
    since there is no eccentricity

    ∴ Load on each rivet =
    1000
    = 250N
    4

    ∴ Shear stress =
    P
    =
    250
    = 8.8 MPa
    Aπ/4 (6)²



  1. In the design of shafts made of ductile materials subjected to twisting moment and bending moment, the recommended theory of failure is









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    NA

    Correct Option: C

    NA