Problem $1-7$: Determine the self$-$weight of the precast beam shown. The beam is made of plain stone concrete, reinforced with $(8)\frac{3}{4^{\text{'}\text{'}}}$ rebar $($as shown$).$ Use the table below. Your answer should be in plf$.$ Hint: watch your units!

$\backslash$table$[[,$lb$/$ft$^(3),$kN$/$m$^(3)],[$Aluminum$,170,26\mathrm{.}7],[$Concrete$,$ plain cinder,$108,17\mathrm{.}0],[$Concrete$,$ plain stone,$144,22\mathrm{.}6],[$Concrete$,$ reinforced cinder,$111,17\mathrm{.}4],[$Concrete$,$ reinforced stone,$150,23\mathrm{.}6],[$Clay$,$ dry,$63,9\mathrm{.}9],[$Clay$,$ damp,$110,17\mathrm{.}3],[$Sand and gravel, dry, loose,$100,15\mathrm{.}7],[$Sand and gravel, wet,$120,18\mathrm{.}9],[$Masonry$,$ lightweight solid concrete,$105,16\mathrm{.}5],[$Masonry$,$ normal weight,$135,21\mathrm{.}2],[$Plywood$,36,5\mathrm{.}7],[$Steel$,$ cold$-$drawn,$492,77\mathrm{.}3],[$Wood$,$ Douglas Fir,$34,5\mathrm{.}3],[$Wood$,$ Southern Pine,$37,5\mathrm{.}8],[$Wood$,$ spruce,$29,4\mathrm{.}5],[\backslash$table$[[-$Reproduced with permission from American Society of Civil Engineers$],[$Minimum Design Loads for Buildings and Other Structures, ASCE$/$SEI $7-10.],[$Copies of this standard may be purchased from ASCE at www$.$pubsasce.org.$]]]]$