sPHENIX is an ongoing upgrade to the PHENIX detector which is planned to explore the quark-gluon plasma formed in heavy ion collisions through the measurements of jets and Upsilons at RHIC in the 2020’s. The experiment will feature a charged particle tracking system along with electromagnetic and hadronic calorimeters and also a 1.4 Tesla superconducting solenoid magnet. A TPC with a GEM-based readout will form the core of the sPHENIX tracking system. The central membrane of the TPC is an important part of the TPC and several simulation studies ranging from tracking performance of single particles to jet fragmentation studies were done with different proposed designs of the TPC membrane. The details of these extensive simulation studies on the sPHENIX TPC membrane will be presented here.