A useful method to calculate stress disturbances arising from cut fibres is the so-called shear lag analysis, in which it is assumed that fibres act to carry tensile stress without transferring applied stress to the matrix, and the matrix acts to transfer stress to the fibres without carrying tensile stress. This assumption gives a limit for application. In the present work, with unidirectional metal matrix composites in mind, the usual two-dimensional shear lag analysis was modified to express the situation where both fibres and matrix act to carry applied stress and also to transfer stress. By using this modified method, tensile strain concentration in the fibres and matrix adjacent to cut fibres and matrix, and shear stresses at the interface between fibres and matrix, were calculated for some examples.