This document discusses the finite element analysis and optimization of a screw compressor housing. The original design analysis found a maximum deformation of 0.17mm and principal stress of 104.3MPa, within design limits. Topology optimization suggested areas where material could be reduced up to 5% of the weight. The optimized design was created and analyzed, showing a weight reduction from 24.6kg to 23.8kg while stresses and deformations remained within design criteria.