Crane girder for a crane

A crane girder for a crane, the crane girder comprising a hollow profile, having an external wall that encloses a cavity, and extends longitudinally, and the external wall, when viewed in a cross section through the crane girder, has at least in regions an outwardly bulging shape for reducing aerodynamic drag, the external wall, when viewed in the cross section through the crane girder, has two mutually opposite portions, having an outwardly bulging shape, which are interconnected by two mutually opposite straight wall portions of the external wall, and at least one running surface adapted to support at least one running wheel of a trolley of a lifting gear of the crane, the mutually opposite portions, having an outwardly bulging shape, in an operating position of the crane girder point upward and downward, and the straight wall portions in the operating position laterally delimit the crane girder, the straight wall portions extend vertically, the running surface is at least one of disposed or supported on one of the straight wall portions of the external wall, and a thickness extent of the external wall in a vertical direction, when viewed in the cross section through the crane girder, is between 50% and 80% of a width extent of the external wall in a horizontal direction.