You will find the pattern of motion shown above. Investigate other positions at which you hold the rod. Unfortunately, the rod will ring in transverse oscillation with nodal points which do not follow the same simple relationship as the longitudinal waves. The transverse waves do not follow this harmonic relationship, i.e. the shape of the bent bar is not a uniform sinewave. This means the rod will ring with lower pitched notes when held at points which do not fit this simple rule of the harmonic series.
More patterns Hang the center of the bar from a string.
Strike the end of the bar. You will hear many frequencies at the same time. You are hearing many harmonics. Grab the bar at the center and all of the harmonics which do not have nodes at the center will vanish. The family of harmonics for transverse motion are given in the following table.