The static analysis of warren beams under torsional and bending loads

Static Deformations of Machine Tool Structures

“…the resulting stiffness of which may be expressed as where F1S1 , the static moments of area of the section F of the bed and F z of the foundation to the axis X, t l9 t z are the distances of the centres of gravity of the bed and the founda tion respectively from the point A (the centre of gravity of the base system).The influence of the ground is represented by the coefficient y b of the increase of the flexural stiffness in the vertical plane z l2 ){2aC z Y^ ' VXGI* + GJ Z% t ) (4C0Ö? )-1The deformations of the machine produced by the weight of the workpiece and table may be determined in an analogous way by loading the substituted beam by additional reactions of the base which have a linear characteristic (the compressibility of the base Co -* 0).…”