The book deals with the elastic stress analysis of a steel wire reinforced composite disc with aluminium matrix subjected to temperature specified thermal gradient across the thickness, for the case of radially inward heat flow with linearly increasing temperature distribution has been carried out. Equations for tangential and radial stresses were established from equilibrium, constitutive, compatibility relations and Fourier’s heat conduction equations for temperature specified boundary conditions of different thermal gradients. The analysis has been carried out by varying volume fraction of steel wire reinforcement with two independent Al & CI matrix materials. The values of tangential and radial stress com¬ponents that have occurred under the effect of the temperature gradient across the outer surface of the disc towards the inner surface have been obtained by both analytical and numerical method using FEA. The results of analytical analysis and numerical analysis are closely matches. The results shows the thermal stresses generated in cast iron-steel composites are higher than the aluminium-steel composites.