The Youngs modulus of steel is higher than that of Al 290 x

The Young\'s modulus of steel is higher than that of Al (29.0 x 10^6 psi vs. 10.5 x 10^6 psi). However, for many applications such as automotive and aerospace a more important quantity is the \"specific modulus,\" or modulus/density. Determine the specific modulus of steel and aluminum by dividing by their densities (The density of steel is about 7.86 g/cc, and the density of aluminum is about 2.70 g/cc.) Note that this gives unusual units, psi/(g/cc)

Solution

Solution :

Specific modulus of steel= E_steel/rho = 29*10⁶/7.86 = 3.69*10⁶ psi / (g/cc)

Specific modulus of Al = E_al/rho = 10.5*10⁶/2.7 = 3.89*10⁶ psi / (g/cc)