In a load cell for a weighing machine, the load cell includes a vibrating beam force sensor clamped at its two ends to respective support parts of the load cell, and wherein each end of the sensor is clamped by a bolt having a head which traps the associated end of the sensor against a support part, the bolt having remote from its head a threaded portion engaged with a nut which tensions the bolt, and a portion of non-circular cross section having at least one cross sectional dimension which is greater than that of the threaded portion, the non-circular cross section portion of the bolt having been drawn through a hole in the support part which had a diameter less than said one cross sectional dimension. This reduces the production of forces parallel to the plane in which clamping is required.