Lightweight structure for a vehicle, in particular an aircraft, comprising: a transverse member having a central web and a transverse web extending transversely with respect to the central web; a carbon fibre structural battery having a cathode layer, a first collector connected to the cathode layer, an anode layer, a second collector connected to the anode layer, and a separator layer arranged between the anode layer and the cathode layer, wherein the carbon fibre structural battery is connected to the central web of the transverse member in an areal manner, characterized in that the lightweight structure further comprises: a first longitudinal member having a base web which has, on a contact surface, a first collecting conductor track composed of an electrically conductive material, wherein the transverse web of the transverse member has a first connecting conductor track composed of an electrically conductive material which extends in the region of a first end portion of the transverse member on a first surface and a second surface, which is oriented opposite to said first surface, of the transverse web, and a second connecting conductor track composed of an electrically conductive material which extends separately from the first connecting conductor track at least on the first surface of the transverse web, wherein the transverse member extends transversely with respect to the longitudinal member and the transverse web of the transverse member is connected, at the first end portion, to the base web of the first longitudinal member in such a way that the first connecting conductor track is in contact with the first collecting conductor track of the base web of the first longitudinal member, wherein the first collector of the carbon fibre structural battery is electrically connected to the first or the second connecting conductor track (33; 34) and the second collector is electrically connected to the respectively other connecting conductor track (34; 33). a transverse member having a central web and a transverse web extending transversely with respect to the central web; a carbon fibre structural battery having a cathode layer, a first collector connected to the cathode layer, an anode layer, a second collector connected to the anode layer, and a separator layer arranged between the anode layer and the cathode layer, wherein the carbon fibre structural battery is connected to the central web of the transverse member in an areal manner, characterized in that the lightweight structure further comprises: a first longitudinal member having a base web which has, on a contact surface, a first collecting conductor track composed of an electrically conductive material, wherein the transverse web of the transverse member has a first connecting conductor track composed of an electrically conductive material which extends in the region of a first end portion of the transverse member on a first surface and a second surface, which is oriented opposite to said first surface, of the transverse web, and a second connecting conductor track composed of an electrically conductive material which extends separately from the first connecting conductor track at least on the first surface of the transverse web, wherein the transverse member extends transversely with respect to the longitudinal member and the transverse web of the transverse member is connected, at the first end portion, to the base web of the first longitudinal member in such a way that the first connecting conductor track is in contact with the first collecting conductor track of the base web of the first longitudinal member, wherein the first collector of the carbon fibre structural battery is electrically connected to the first or the second connecting conductor track (33; 34) and the second collector is electrically connected to the respectively other connecting conductor track (34; 33). a first longitudinal member having a base web which has, on a contact surface, a first collecting conductor track composed of an electrically conductive material, wherein the transverse web of the transverse member has a first connecting conductor track composed of an electrically conductive material which extends in the region of a first end portion of the transverse member on a first surface and a second surface, which is oriented opposite to said first surface, of the transverse web, and a second connecting conductor track composed of an electrically conductive material which extends separately from the first connecting conductor track at least on the first surface of the transverse web, wherein the transverse member extends transversely with respect to the longitudinal member and the transverse web of the transverse member is connected, at the first end portion, to the base web of the first longitudinal member in such a way that the first connecting conductor track is in contact with the first collecting conductor track of the base web of the first longitudinal member, wherein the first collector of the carbon fibre structural battery is electrically connected to the first or the second connecting conductor track (33; 34) and the second collector is electrically connected to the respectively other connecting conductor track (34; 33).