Question:-
A thick cylinder is subjected to internal pressure of 100 N/mm2. If hoop stress developed at the outer radius of the cylinder is N/mm2, the hoop stress developed at the inner radius is
Option (A)
100 N/mm2
Option (B)
200 N/mm2
Option(C)
300 N/mm2
Option(D)
400 N/mm2
Correct Option:
(B)
Question Solution:
Hoop stress at inner radius = p + 2A (to be found)
Hoop stress at outer radius = 2A = 100N/mm2 where A is lames constant.
Therefore stress at inner radius = 100+100 = 200 N/mm2
Other method
hoop stress at outer radius = (2Pid2 / (d20-d21))
100 = {(2 x 100 x d21) / (d20-d21)}
3d21 = d20 ........(1)
Now hoop stress at inner radius
= {p1(d20+d21) / (d20-d21)} = {(100 x 4d21) / 2d21} = 200 N/mm2
question-answer-faq-9355