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TGPSC HMWSSB Manager 2015 Paper 2 · Question 104

Question 104 of the TSPSC Manager (Engineering), HMWSSB, 2015: Paper 2 (Civil Engineering) (1 November 2015). Try it first, then open the answer and explanation.

  1. Manager 2015 Paper 2 (Civil) · Q104 · Strength of Materials & Structural Analysis · Strength of Materials

    A weight W falls freely on a body from a height of h. If the instantaneous deformation of the body in the direction of weight is δ, the work done by the force is ______.

    1. ½ W (h + δ)
    2. W (h + δ)
    3. ½ W h + W δ
    4. W h + ½ W δ
    Show answer

    Answer: (2) W (h + δ)

    The weight falls through h and then moves a further δ while the body deforms, so the work done by the constant force W is W(h + δ), which equals the strain energy stored at maximum deformation. The factor ½ applies to a gradually applied load, not to a falling weight.

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