$3-9.$ A shelf is being designed to hold crates having a total mass of $1840$ kg $.$ Two support rods $3-19.$ Figure P$3-19$ shows the cross section of a short compression member that is to carry a

static load of $640$ kN $.$ Specify a suitable material for the member $($Find from the text Appendix$).$

$3-32.$ A cylindrical steel bar is attached at the top and is subjected to three axial forces, as

shown in Figure P$3-32.$ Its cross section has an area of $0\mathrm{.}50i{n}^2.$ Determine the deflection of the

free end. Take E of the steel bar is $30{10}^6.$

like that shown in Figure P$3-9$ will hold the shelf. Assume that the center of gravity of the

crates is at the middle of the shelf. Specify the required diameter of the circular rods to limit

the stress to $110$ MPa $.$

$3-16.$ A portion of a casting made of ASTM A$48,$ grade $20$ gray cast iron has the shape shown in

Figure P$3-16$ and is subjected to compressive force in line with the centroidal axis of the

section. If the member is short and carries a load of $52000$ lb $,$ compute the stress in the section

and the design factor. Take ultimate strength value of $80$ ksi $.$