Question

A cylindrical pipe of diameter 1.5 m and thickness 1.5 cm is subjected to internal fluid pressure of 1.2 N/mm². Determine the longitudinal stress developed in the pipe.

• A. 45 N/mm²
• B. 60 N/mm²
• C. 15 N/mm²
• D. 30 N/mm²

Answer 1

Answer:

D. 30 N/mm²

Given, P = 1.2 MPa, D = 1.5mm = 1500mm t = 1.5 cm 15 mm,

Hoop stress $\sigma_{h} =\frac {PD}{2t} = \frac{1.2 \times 1500}{2 \times 15} = 60MPa$

longitudinal stress $\sigma_l = \frac{Pd}{4t} = {1.2 \times 1500}{4 \times 15} = 30MPa$