• # 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) $36\,\text{kgf/c}{{\text{m}}^{\text{2}}}$ CompressionB) $36\,\text{kgf/c}{{\text{m}}^{\text{2}}}$ TensionC) $72\,\text{kgf/c}{{\text{m}}^{\text{2}}}$ Compression       D) $72\,\text{kgf/c}{{\text{m}}^{\text{2}}}$Tension

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