Question

Water is flowing in a pipe of 200 cm diameter under a pressure head of 10000 cm. The thickness of the pipe wall is 0.75 cm. The tensile stress in the pipe wall in MPa is:

• A. 13.0
• B. 100
• C. 133.3
• D. 1305

Answer 1

Answer:

C. 133.3

Given: Diameter, d = 200cm = 2m Pressure head, h = 10000cm = 100m Thickness t = 0.75cm = 0.0075m Calculation: $\sigma_{h} =\frac{pd}{2t}$ Pressure inside the cylinder, $P = \rho gh$ $\sigma_{h} = \frac{(\rho gh) d}{2t} = \frac{(1000 \times 10 \times 100) 2}{2 \times 0.0075} = 133.3 \times 10 ^ 6 = 133.3MPa$