Five metal strips, each 0.5 X 1.5-in. cross section, are bonded together to form the composite beam shown. The modulus of elasticity is 30 X 106 psi for the steel, 15 X 106 psi for the brass, and 10 X 106 psi for the aluminum. Knowing that the beam is bent about a horizontal axis by a couple of moment 12 kip.in., determine
(a) the maximum stress in each of the three metals,
(b) the radius of curvature of the composite beam.