In a thin cylinder of diameter d, thickness t subjected to internal pressure, the circumferential stress developed is
- Apd/t
- Bpd/2tCorrect
- Cpd/4t
- Dpd/8t
Solution
Concept
Hoop stress in a thin cylinder
Formula
σc = p d / 2t; σL = p d / 4t
Step-by-step solution
1. Resisting force per unit length = 2 σc t, bursting force = p d. 2. σc = pd/2t.
Explanation
The circumferential (hoop) stress is twice the longitudinal stress pd/4t.
Why the other options are wrong
pd/4t is the longitudinal stress; pd/t and pd/8t are not standard results.
Shortcut
Hoop pd/2t, longitudinal pd/4t.
Common mistake
Giving pd/4t.
Correct answer: B) pd/2t