In this paper, we report new design and analysis of aerofoil morphing using Shape Memory Alloy (SMA) wire actuator. A finite element based computational model of the coupled SMA-aerofoil is developed incorporating the non-linear hysteretic deformation of the SMA wire actuator and low-speed aerodynamic pressure. This model is used for analysis of the preliminary aerofoil design. Simulation results from this model are reported. Based on these results, the aerofoil is redesigned and detailed analysis is carried out. Trailing edge deflection is optimized, and at the same time, it is ensured that the aerofoil is stiff enough for sustaining aerodynamic loads at velocities up to 20m/s. Experimental results obtained from a laboratory scale setup of SMA wire integrated aerofoil are reported and they are found to be in close agreement with the simulated results.