Nickel-base radiant tube includes straight and curved elbow tube sections. The straight tube section has constant inner and outer radii. The elbow tube section has a constant inner radius and variable outer radius. The inner diameter of the elbow tube section is equal the inner radius of the straight tube section. Mating end portion of the elbow tube section has an outer radius equal to the outer radius of the straight tube section. Method for making the radiant tube comprises the steps of positioning a mating end portion of the straight tube section adjacent to and aligned with the mating end portion of the elbow tube section so that end faces of the straight and elbow tube sections face each other to define a circumferentially extending weld groove, and butt welding the mating end portions of the straight and elbow tube sections together at the weld groove.