The figure shows a vertical tube with a rigid support at its base. The tube consists of an outer shell marked 1 and a core marked 2. The load on the top surface of the tube is P which equals 30 kilo newtons directed vertically downwards.

An aluminum tube (1) encases a brass core (2). The two components are bonded together to comprise an axial member that is subjected to a downward force of 30 kN.

Tube (1) has an outer diameter of D=30 mm and an inner diameter of d=22 mm. The elastic modulus of the aluminum is 70 GPa. The brass core (2) has a diameter of D=22 mm and an elastic modulus of 105 GPa.

Compute the normal stresses in tube (1) and core (2).