Railways Technical Ability Engineering Mechanics and Strength of Materials Question Bank Strength of Materials

  • question_answer Plane stress at a point in a body is defined by principal stresses \[3\sigma \] and \[\sigma .\] The ratio of the maximum normal stress to the maximum shear stress on the plane of maximum shear stress is:

    A) 1                                 

    B) 2

    C) 3                                 

    D) 4

    Correct Answer: C

    Solution :

    \[{{\sigma }_{1}}=3\sigma ,\] \[{{\sigma }_{2}}=0\] \[{{\tau }_{\max }}=\frac{{{\sigma }_{1}}-{{\sigma }_{2}}}{2}=\frac{3\sigma -\sigma }{2}=\sigma \] \[\frac{{{\sigma }_{1}}}{{{\tau }_{\max }}}=\frac{3\sigma }{\sigma }=3\]

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