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Railways NTPC (Technical Ability) Engineering Mechanics and Strength of Materials Question Bank Engineering Mechanics

  • question_answer
                                                        A simply supported beam of constant flexural rigidity and length 2 L carries a concentrated load 'P' at its mid-span and the deflection under that load is \[\delta .\] if a cantilever beam of the same flexural rigidity length is subjected to load ?P? at its free end, them the deflection at the free end will be:           

    A) \[1/2\delta \]                  

    B) \[\delta \]

    C) \[2\delta \]                                 

    D) \[4\delta \]

    Correct Answer: C

    Solution :

    Simply supported beam, \[{{\delta }_{1}}=\frac{P{{L}^{3}}}{3EI}=\frac{P{{(2L)}^{3}}}{48EI}=\frac{P{{L}^{3}}}{6EI}\] Cantilever beam, \[{{\delta }_{1}}=\frac{P{{L}^{3}}}{3EI}\] \[{{\delta }_{2}}=2{{\delta }_{1}}=2\delta \]


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