Chapter 2, Problem 116P

A newly produced pipe with diameter of $3\text{m}$ and length $15\text{m}$ is to be tested at $\text{10}\text{MPa}$ using water at $\text{15°C}\text{.}$ After sealing both ends, the pipe is ?rst filled with water and then the pressure is increased by pumping additional water into the test pipe until the test pressure is reached. Assuming he deformation in the pipe, determine how much additional water needs to be pumped into the pipe. Take the coefficient of compressibility to be $\text{2}{\text{.10×10}}^{\text{9}}\text{Pa}\text{.}$