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

  • question_answer
    A thin cylinder with both ends closed is subjected to internal pressure p. The longitudinal stress at the surface has been calculated as \[{{\sigma }_{0}}.\] Maximum shear stress at the surface will be equal to:

    A) \[2{{\sigma }_{0}}\]                             

    B) \[1,\,5{{\sigma }_{0}}\]

    C) \[{{\sigma }_{0}}\]                               

    D) \[0.5{{\sigma }_{0}}\]

    Correct Answer: D

    Solution :

    \[{{\sigma }_{1}}={{\sigma }_{0}}\,\,then\,\,{{\sigma }_{\theta }}=2{{\sigma }_{0}}\] Maximum shear stress, \[{{\tau }_{\max }}=\frac{{{\sigma }_{0}}-{{\sigma }_{1}}}{2}\] =\[=\frac{2{{\sigma }_{0}}-{{\sigma }_{0}}}{2}=\frac{{{\sigma }_{0}}}{2}\]


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