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

  • question_answer
    A bar of length L and of uniform cross-section area A and second moment of area / is subjected to a pull P. If Young's modulus of elasticity of the bar material is E, the expression for strain energy stored in the bar will be:

    A) \[\frac{{{P}^{2}}L}{2AE}\]                

    B) \[\frac{P{{L}^{2}}}{2EI}\]

    C) \[\frac{P{{L}^{2}}}{AE}\]                              

    D) \[\frac{{{P}^{2}}L}{AE}\]

    Correct Answer: D

    Solution :

    \[U=\frac{1}{2}\times stress\times strain\times volume\] \[=\frac{1}{2}\times \frac{P}{A}\times \frac{P}{AE}\times AL\] \[=\frac{1}{2}\times \frac{{{P}^{2}}L}{AE}\]


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