The pilot reported that he made an approach to land on the 675 metre long level grass strip in calm wind conditions. Approach speed was 70 knots and the aircraft passed over the approach end fence at about 20 to 30 feet above the ground at an airspeed of 65 knots. The aircraft touched down about a quarter of the way down the strip. The pilot said that he allowed the aircraft to settle, raised the flaps and applied the brakes. The aircraft started to slow down but then the brakes seemed to lose effectiveness. The pilot decided not to go around because of considerations of aircraft weight, speed and strip remaining. Instead, he attempted to turn off the strip to the right where there was plenty of room to stop but he got no response from the nosewheel steering or right brake application. The aircraft finally ran into the fence at the end of the strip which resulted in the nosewheel breaking off. The pilot said the strip surface at the time was short grass which was still very damp due to a frost the previous night. After the accident he inspected the nosewheel assembly and reported that there may have been a broken part on the steering assembly which could have resulted in no steering to the right. However, he did not report any problem with the nosewheel steering prior to this landing. This accident was not the subject of a formal on scene investigation.