stretchable gas tight material are inserted into this cover 7 of limited stretchability in addition webs 12 embedded into the outer cover 7 may serve for essentially defining the position of the pressurized bladders 11 and thusly prevent the bladders 11 from shifting within the cover 7 this is illustrated in fig1 on one side of the support 1 however it would also be conceivable and fall under the scope of the invention to divide a gas tight cover 7 with gas tight webs 12 into several chambers 10 as shown in fig1 12 fig1 shows another embodiment of the object of the invention a support 1 according to fig2 is curved upward in an arc shaped fashion and therefore has a concave underside and a convex upper side the distance between the two ends of the support 1 can essentially be fixed by clamping the ends into abutments or by means of an external tension element 14 when the support 1 is subjected to a downwardly acting load the two compression tension elements 5 are compressed while the tensile forces are absorbed by the abutments or the tension element 14 fig1 a c show an application example for pneumatic supports 1 in the construction of a bridge two supports 1 according to fig1.