A pneumatic support having a body (112) which can be pneumatically pressurised and which, when under operating pressure, operationally holds a compression member (96, 128 to 131′) which extends substantially over the length of the body and a tensile member (98, 138 to 141′) which likewise extends substantially over the length (I) of the body at a distance from each other, wherein the compression member (96, 128 to 131′) and the tensile member (98, 138 to 141′) are connected to each other at the end in connection nodes (91), and wherein the body which can be pneumatically pressurised has pneumatic drop-stitch transverse fibre pressure panels (100, 165, 113 to 116).