A hollow steel shaft 80 mm internal diamter and 120 mm external diameter is to be replaced by a solid alloy shaft. If the polar modulus has the same value for both, calculate the diameter of the latter and ratio of torsional rigidities. The shear modulus of elasticity for steel is 2.4 times that of the alloy.

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Buckling of columns

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.