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

  • question_answer A solid shaft of diameter 'D' caries a twisting moment that develops maximum shear stress \[\tau .\] If the shaft is replaced by a hollow one of outside diameter 'D' and  inside diameter D/2, then the maximum shear stress

    A) \[1.067\,\tau \]               

    B) \[1.143\,\tau \]         

    C) \[1.333\,\tau \]               

    D) \[2\,\tau \]

    Correct Answer: A

    Solution :

    \[{{\tau }_{s}}=\frac{16T}{\pi {{D}^{3}}}\] \[{{\tau }_{h}}=\frac{16T}{\pi {{D}^{2}}(1-{{k}^{4}})}=\frac{16T}{\pi {{D}^{3}}\left( 1-\frac{1}{16} \right)}=\frac{16}{15}{{\tau }_{s}}\] \[=1.067\tau \]

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