A silicon on insulator shaped structure formed to reduce floating body effect comprises a T-shaped active structure and a body contact for back bias. Etching a T-shape through two layers of oxide will form the T-shaped active areas. A back bias is formed when a metal line is dropped through the SOI structure and reaches a contact plug. This contact plug is doped with N+ or P+ dopant and is embedded in a Si substrate. The T-active shaped structure is used to reduce the short channel effects and junction capacitance that normally hinder the effectiveness of bulk transistors. The back bias is used as a conduit for generated holes to leave the SOI transistor area thus greatly reducing the floating effects generally associated with SOI structures.