A heavy machine has a mass of 60,000 kg. Its mass center is equidistant from each of four ground supports located at the four comers of a square 1.5 m on a side. Before it is moved to its permanent location, temporary support must be designed to hold the machine on a level horizontal surface on the ground. The surface layer of the ground is silt above a thick layer of inorganic clay. By the theory of soil mechanics, it is estimated that the spring constant of the soil is k0 = 0.029 N/mm3. The machine is placed centrally on two long timber beams (E = 12.4 GPa) that are 200 mm wide and 300 mm deep. The beams are parallel to one another, with centers 1.50 m apart. Determine the maximum deflection of the beams, maximum flexural stress in the beams, and minimum required length L for the beams.
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