Arm module for a modular robot arm of an industrial robot having a housing which has a first connection side and a second connection side, wherein the first connection side is designed in a controllably rotatable manner about a rotation axis relative to the second connection side, wherein the first connection side has a rotatable first connection device and the second connection side has a second connection device fixed to the housing, a multifunctional rotary transmission system for rotary transmission of data signals, of electrical energy and of fluid, and a drive device with a shaft arrangement which has an output shaft and is connected in a rotationally fixed manner to the rotatable first connection device of the first connection side, wherein the shaft arrangement forms a portion of the multifunctional rotary transmission system; characterized in that the multifunctional rotary transmission system comprises an electrical rotary transmission device and a fluidic rotary transmission apparatus, wherein the electrical rotary transmission device has an electrical slip-ring device with a brush device, having brushes, as a stator and a sliding contact ring device, having sliding contacts, as a rotor, wherein the sliding contact ring device is set up on the output shaft of the shaft arrangement on a longitudinal end portion of the output shaft situated opposite the rotatable first connection device and is arranged such that the sliding contacts of the electrical sliding contact ring device rotate together with the output shaft and tap off electricity from the associated brushes of the brush device, wherein the fluidic rotary transmission apparatus comprises a fluidic rotary bushing with a fluid supply device, having circumferential fluid ducts, as a stator and fluid lines, arranged inside the output shaft, as a rotor, wherein the fluid supply device has an annular housing with a fluid transfer flange and a fluid transfer portion adjoining it in the axial direction, and wherein the fluid lines each have a fluid line passage hole associated with the respective circumferential fluid duct and therefore a fluid can be transmitted between a circumferential fluid duct and a fluid line, and wherein the fluid supply device, serving as a stator, of the fluidic rotary bushing with the annular housing is arranged inside the electrical sliding contact ring device, serving as a rotor, of the electrical slip-ring device and the fluidic rotary bushing rotationally supports the slip-ring device, and vice versa. a housing which has a first connection side and a second connection side, wherein the first connection side is designed in a controllably rotatable manner about a rotation axis relative to the second connection side, wherein the first connection side has a rotatable first connection device and the second connection side has a second connection device fixed to the housing, a multifunctional rotary transmission system for rotary transmission of data signals, of electrical energy and of fluid, and a drive device with a shaft arrangement which has an output shaft and is connected in a rotationally fixed manner to the rotatable first connection device of the first connection side, wherein the shaft arrangement forms a portion of the multifunctional rotary transmission system; characterized in that the multifunctional rotary transmission system comprises an electrical rotary transmission device and a fluidic rotary transmission apparatus, wherein the electrical rotary transmission device has an electrical slip-ring device with a brush device, having brushes, as a stator and a sliding contact ring device, having sliding contacts, as a rotor, wherein the sliding contact ring device is set up on the output shaft of the shaft arrangement on a longitudinal end portion of the output shaft situated opposite the rotatable first connection device and is arranged such that the sliding contacts of the electrical sliding contact ring device rotate together with the output shaft and tap off electricity from the associated brushes of the brush device, wherein the fluidic rotary transmission apparatus comprises a fluidic rotary bushing with a fluid supply device, having circumferential fluid ducts, as a stator and fluid lines, arranged inside the output shaft, as a rotor, wherein the fluid supply device has an annular housing with a fluid transfer flange and a fluid transfer portion adjoining it in the axial direction, and wherein the fluid lines each have a fluid line passage hole associated with the respective circumferential fluid duct and therefore a fluid can be transmitted between a circumferential fluid duct and a fluid line, and wherein the fluid supply device, serving as a stator, of the fluidic rotary bushing with the annular housing is arranged inside the electrical sliding contact ring device, serving as a rotor, of the electrical slip-ring device and the fluidic rotary bushing rotationally supports the slip-ring device, and vice versa.