1. A laminated steel spring, simply supported at the ends and centrally loaded, with a span of 75 cm is required to carry a proof load of 7.5 kN and the central deflection is not to exceed 5 cm. The bending stress must not be greater than 400 MN/m². Plates are available in mul- tiples of 1 mm for thickness and in multiples of 4 mm for width. Assuming width to be welve times the thickness and E = 200 GNm, determine suitable values for the thickness, width and number of plates and the radius to which the plates should be formed.

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The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.