Human body parts are sometimes compressed by tight clothes, footwear, bandages etc. Therefore, it is important to balance between functionality and comfort of garments in order to avoid negative effects on human health. Mechanical properties of both garment and tissue need to be taken into account for the analysis of pressure of tight garments. The thick walled tube theory is adjusted to a composite cylinder with a rigid core, as an approximate limb model with corresponding edge conditions. The results suggest the effect of tightness and elastic properties of the tissue and the tight garment on the level and type of tissue stresses.