Question

A thick cylinder with 10 mm internal diameter and 20 mm external diameter, is subjected to an internal fluid pressure of 60 MPa. The hoop stress at the inner surface is

• A. 140 МРа
• B. 60 MPa
• C. 100 МРа
• D. 40 MPa

Answer 1

Answer:

C. 100 МРа

Given: $P_{i} = 60MPa$ $P_{o} = 0$ $r_{i} = 5mm$ $r_{o} = 10mm$ . $\sigma_{c} =P_{i} [\frac{ r_{i} ^ 2 +r_{o} ^ 2}{ r_{o} ^ 2 -r_{i} ^ 2} ] \Rightarrow \sigma_{c} = 60[\frac{10 ^ 2 + 5 ^ 2}{10 ^ 2 - 5 ^ 2}] = 100MPa$