Fastening of an exhaust cone in a turbomachine nozzle

An assembly for a turbomachine with a longitudinal axis (X) comprising:

• an exhaust cone comprising an outer annular wall for the flow of a primary air flow and an annular box arranged radially inside said outer annular wall, the annular box comprising an inner annular wall arranged radially inside the outer annular wall of the exhaust cone,
• an exhaust case arranged upstream of the exhaust cone, and
• a connecting member interposed longitudinally between the exhaust case and the exhaust cone, the connecting member being fastened to the exhaust case and to the inner annular wall,
• said assembly further comprising at least one elastic means radially deformable and radially prestressed between the outer annular wall and the connecting member,
• wherein the connecting member comprises an annular flange connected to a corresponding flange of the exhaust case and a plurality of fastening lugs distributed circumferentially around the longitudinal axis and connected to the inner annular wall.