Water hammer occurs in a pipe when water flow is suddenly stopped. By water hammer pipe or bulb breaks. There are pipes having the square or rectangular cross sectional shape rather than the circular shape: the pipes in the plant facility and factory, micro channel, gutter, and so on. Moreover, a part of the walls is often composed by different material or different wall thickness, such as the pipe with observation window. To reveal pressure wave propagation in such a channel, we examined water hammer phenomenon and measured wave speeds in rectangular tubes with different walls materials and thickness which is assembled by different plates by strain gages and pressure transducer data. We newly proposed theoretical wave speeds based on the classical theory and the junction conditions of two walls: fixed, simply supported, and mixed. Strain gage data at center of plate are different form that at corner of pate because of the junction conditions. And we compared numerical analysis wave speed by AUTODYN with experimental wave speed. We confirmed that theoretical predictions agreed with experimental wave speed.