Mechanical and structural analysis miscellaneous


Mechanical and structural analysis miscellaneous

Mechanics and Structural Analysis

  1. For the simply supported beam of length L, subjected to a uniformly distributed moment M kN–m per unit length as shown in the figure, the bending moment (in kN–m) at the mid-span of the beam is









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    Moment about A,
    RB × L = M × L
    ∴ RB = M

    At mid span, BM = RB ×
    L
    - m ×
    L
    = 0
    22

    Correct Option: A

    Moment about A,
    RB × L = M × L
    ∴ RB = M

    At mid span, BM = RB ×
    L
    - m ×
    L
    = 0
    22


  1. A solid circular shaft of diameter d and length L is fixed at one end and free at the other end. A torque t is applied at the free end. The shear modulus of the material is G. The angle of twist at three free ends is









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    T
    =
    G.θ
    JL

    θ =
    TL
    GJ

    Correct Option: B

    T
    =
    G.θ
    JL

    θ =
    TL
    GJ



  1. The effective length of a column of length L fixed against rotation and translation at one end and free at the other end is









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    NA

    Correct Option: D

    NA


  1. The number of independent elastic constants for a linear elastic isotropic and homogeneous material is









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    NA

    Correct Option: C

    NA



  1. The major and minor principal stresses at a point are 3 MPa and –3 MPa respectively. The maximum shear stress at the point is









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    Max shear stress

    =
    σ1 - σ2
    2

    =
    3 - (-3)
    = 3 mPa
    2

    Correct Option: B

    Max shear stress

    =
    σ1 - σ2
    2

    =
    3 - (-3)
    = 3 mPa
    2