Question

When a thin cylindrical shell is subjected to internal fluid pressure, the stresses developed in its wall are

• A. Circumferential and longitudinal
• B. Diagonal and bending
• C. Vertical and bending
• D. Irregular and bending

Hint:

For a thin cylindrical pressure vessel, \[ \boxed{ \sigma_h=\frac{pd}{2t}, \qquad \sigma_l=\frac{pd}{4t} } \] where the hoop stress is twice the longitudinal stress.

Answer 1

The Correct Option is A

Step 1: Recall the stresses in a thin cylindrical pressure vessel. When a thin cylindrical shell is subjected to internal pressure, two principal tensile stresses are developed: \[ \begin{aligned} &\text{Circumferential (Hoop) Stress}\\ &\text{Longitudinal Stress} \end{aligned} \]

Step 2: Identify the correct option. These are the only significant membrane stresses in a thin cylindrical shell. Hence, \[ \boxed{\text{Circumferential and longitudinal}} \] is the correct answer. Therefore, \[ \boxed{(A)} \] is the correct answer.