Question

Ratio of longitudinal stress to hoop stress in a thin cylinder is

• A. equal
• B. half
• C. one-fourth
• D. four times

Answer 1

Answer:

B. half

A thin cylinder with closed ends containing fluid under gauge pressure 'p' will have both longitudinal and circumferential stress. The ratio of longitudinal stress to hoop stress is 0.5, which is obtained by dividing longitudinal stress$\sigma_{L} =\frac{pd}{4t}$ hoop stress $\sigma_{h} = \frac{pd}{2t}$ where 'd' is the internal diameter and 't' is the wall thickness of the cylinder.