Question

Assertion (A): The intensity of the longitudinal stress is one half of the intensity of hoop-stress or circumferential stress in a thin cylindrical shell
subjected to internal pressure.
Reason (R): The stresses in the longitudinal and circumferential directions develop when a thin cylindrical shell is subjected to internal force which tries to burst the cylinder

• A. both A and R are true and R is the correct explanation of A
• B. both A and R are true but R is not a correct explanation of A
• C. A is true but R is false
• D. A is false but R is true

Answer 1

The correct option is B both A and R are true but R is not a correct explanation of A

$Hoopstress{\sigma }_h=\frac{pd}{2t}$
$Longitudinalstress{\sigma }_t=\frac{pd}{4t}$
Stresses in longitudinal and circumferential directions develop when thin cylindrical shell is subjected to internal force which tries to burst the cylinder.
Reason is not the correct explanation of assertion