The inevitable use of reinforced concrete for large constructions and the need to provide openings require a proper layout of reinforcement steel to be provided within the design domain. An Engineer can apply topology optimisation to determine the optimal layout of the tensile areas where steel can be provided using a strut and tie model. The maximum stress at the optimal convergence and the energy of structure can be determined by performing topology optimisation. The main focus of this study is to model the design domain using first-order basis splines and perform isogeometric analysis to determine the maximum stress and displacement in the material. The topology optimisation is performed by gradually removing the low-stress carrying material and the final layout of the material can be obtained at the optimal point of convergence. This layout can give an indication to the engineer to provide the steel in the concrete domain. The results obtained when design domain is modelled using basis splines are similar to the layout of material when the design domain is modelled using quadrilateral elements in the literature. These results have shown that basis splines can be very useful to model and analyse the concrete domains.