The elastic behaviour of unidirectional short fibre-reinforced thermoplastics has been determined in terms of elastic modulus, relaxation and thermal coefficient of linear expansion. These properties can be derived from the properties of the components of the composite by using a simple constituent model. The reduced reinforcement of short fibres compared with that of continuous fibres is accounted for by an attenuation factor which depends on the aspect ratio of the fibres and the Young's modulus of the matrix.