The document discusses the Hardy Cross Method for analyzing water distribution systems to determine pressures and flows. It involves the following steps: 1. Assume pipe diameters and initial flows such that the sum of inflows equals outflows at junctions. 2. Calculate head losses in each pipe using the Hazen-Williams equation. 3. Calculate flow corrections using an equation that sets the sum of head losses around loops to zero. 4. Repeat using corrected flows until flow corrections become small. An example problem applies the method to determine suitable pipe diameters for a branching system given pressure requirements at nodes.