Q1. (15p) Compare the heights and weights of three rectangular beams made of aluminum alloy 7178-T6, stainless steel 17-7 PH (aged), and a unidirectional high-modules (HM) carbon fiber-reinforced epoxy designed

to posses (a) equal bending stiffness and (b) equal bending moment carrying capacity. Assume that all three beams have the same length and width. (Hint: The bending stiffness is proportional to Eh' and the bending moment is proportional to Sh, where E, S, and h are the modulus, strength, and height, respectively.)