A 2mmdiameter 316L stainless steel wire is coated with 1mm t

A 2-mm-diameter 316L stainless steel wire is coated with 1-mm thick titanium. Using the following data, answer. What is the Young\'s modulus of the composite? If the composite wire is loaded in the longitudinal direction, what will the yield strength be? How much load can the composite carry in tension without plastic deformation? What is the density of the composite?

Solution

a) Youngs modulus of the composite = E_steel * v_steel + E_titanium * v_titanium

     where v_steel & v_titanium are the volume ratios

                                                       = 200 * (1/4) + 100 * (3/4)   = 125 GPa

b) Yield strength of the composite = Yield_steel * v_steel + Yield_titanium * v_titanium

     where v_steel & v_titanium are the volume ratios

                                                       = 400 * (1/4) + 200 * (3/4)   = 250 MPa

c) Load   = 250 * 10^6 * pi * 0.003^2 /4   = 1767.146 N

d) Density   = ( 2.7 * (0.3^2 - 0.2^2) + 7.84 * 0.2^2 ) / 0.3^2    = 4.9844 g/cm^3