The Construction ‘C’ in Civil Engineering is vital for growth. The construction of a building is a basic need of every human, every family and businesses to thrive. The purpose is to build a safe, economical and sustainable construction in a green environment to live in. The main focus of this paper is to perform topology optimisation of the elements of a building and design in an optimum manner. Most important elements of any building include portal frames and shear walls. The stress distribution at optimal point will help us to know the areas where the material is required the most. The nature and magnitude of stresses developed will help us to design better and ensure that the stresses developed are within the allowable limits. Basis splines were used to model the design domain of a portal frame and shear wall with openings. Topology optimisation is performed with minimising compliance as the objective function. First-order sensitivity analysis is done and optimality criteria is used here to calculate the relative density of each element. The optimal distribution of material determined at the optimal point of convergence is similar to those in the literature.