Problem $2$: A $1$ in thick steel tube $($Young$\text{'}$s modulus of $29{10}^6$ and allowable stres: of $20$ ksi $)$ is securely bonded to a wooden center $($Young$\text{'}$s modulus of $2{10}^6$ anc allowable stress of $2,500)$ to form the composite member shown. Determine the largest permissible bending moment when the member is bent about a horizontal axis and the corresponding radius of curvature. $(25$ points$)$