Elbowed combustion chamber of a turbomachine

A combustion chamber of a turbine engine, comprising:

• an outer annular casing;
• a flame tube connected to the outer casing, said flame tube comprising an inner annular wall and an outer annular wall defining a first portion, that is radial, at an inlet of the flame tube and a second portion, that is axial, at an outlet of the flame tube, the first portion extending toward the second portion while forming an elbow between the inlet and the outlet of the flame tube,
• the flame tube comprises a plate forming a chamber base located at the inlet of the flame tube,
• the combustion chamber comprising at least one fuel injector configured to inject fuel into the flame tube via the inlet of the flame tube, the flame tube being connected to the outer annular casing by said at least one fuel injector being connected to the chamber base, said at least one fuel injector comprising an injection tube through which fuel is brought into the flame tube and an injector body surrounding the injection tube, said injector comprising a connection disk connected to the chamber base and a cylinder projecting from the connection disk, the injector body being connected to the injection tube, and the injector body is coaxially inserted into the cylinder topping the connection disk and in contact with the cylinder in such a matter that, when the cylinder and the injector body are assembled together, the cylinder is movable with respect to the injector body and the injection tube when the flame tube is subjected to movement so that the movement is compensated, and
• the injector body extends through an opening in the outer annular casing to connect the flame tube to the outer casing.