Part 1 The diagram on the side show a cross-section of hollow shaft. Determine the maximum volume of h material to be used, in cm in order to produce the hollow shaft that has surface area of Xn cm. (Given R2 = R1, X is the sum of matric number of your %3D group leader). X= 6 Part 2 Determine the moment inertia of hollow shaft used for a structure about its axis using multiple integrals method and analyze how the moment inertia related to the strength of the structure.

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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.