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

  • question_answer A compound cylinder with inner radius 5 cm and outer radius 7 cm is made by shrinking one cylinder on to the other cylinder. The junction radius is 6 cm and the junction pressure is \[11\,kg/c{{m}^{2}}.\] The maximum hoop stress developed in the inner cylinder is:

    A) \[36\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] Compression

    B) \[36\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] Tension

    C) \[72\,\text{kgf/c}{{\text{m}}^{\text{2}}}\] Compression       

    D) \[72\,\text{kgf/c}{{\text{m}}^{\text{2}}}\]Tension

    Correct Answer: C

    Solution :

    Maximum hoop stress in the inner cylinder \[({{\sigma }_{\theta }})i=\frac{2r_{3}^{2}{{p}_{s}}}{(r_{3}^{2}-r_{q}^{2})}\] \[=\frac{2\times {{6}^{2}}\times 11}{({{6}^{2}}-{{5}^{5}})}=-\,72\]

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