Summary: We study a simple model of a structure having a pin joint with “play”. The model consists of a zero-stiffness impact oscillator. For small forcing we analyse two types of simple periodic solutions: symmetric and asymmetric. Saddle-node and pitchfork bifurcations are found for both types of solutions, while period-doubling bifurcations are found for the asymmetric periodic solutions. For large forcing it is numerically shown that the system exhibits chaos.