Problem $4.$ A $25$ ft simply supported beam is loaded with concentrated loads at $10$ ft from each support. On one point, the dead load is $4\mathrm{.}0$ kips and the live load is $8\mathrm{.}0$ kips. At the other point, the dead load is $6\mathrm{.}0$ kips and the live load is $10\mathrm{.}0$ kips. Distributed dead load $($not including self$-$weight$)$ is $3\mathrm{.}0$ kips$/$ft and live load is $5\mathrm{.}0$ kips$/$ft$.$ Lateral supports are provided at supports and load points. Considering only bending, determine the lightest W$-$shape to carry the load.

Use A$992$ steel. Include the self$-$weight of the beam in the design. Use the LRFD

method. Limit the live load deflections to L$/360$ and make sure your beam is

adequate for with respect to shear.

DL $=4$ kips

DL $=6$ kips

LL $=8$ kips

LL $=10$ kips

WD $=3$ kips$/$ft

WL $=5$ kips$/$ft

$10$ ft$.$

$5$ ft$.$

$10$ ft$.$ Problem $4.$ A $25$ ft simply supported beam is loaded with concentrated loads at $10$ ft from each support. On one point, the dead load is $4\mathrm{.}0$ kips and the live load is $8\mathrm{.}0$ kips. At the other point, the dead load is $6\mathrm{.}0$ kips and the live load is $10\mathrm{.}0$ kips $.$ Distributed dead load $($not including self$-$weight$)$ is $\backslash (3\mathrm{.}0\backslash$mathrm$\{$kips$\}/\backslash$mathrm$\{$ft$\}\backslash )$ and live load is $5\mathrm{.}0\backslash (\backslash$mathrm$\{$kips$\}/\backslash$mathrm$\{$ft$\}\backslash ).$ Lateral supports are provided at supports and load points. Considering only bending, determine the lightest W $-$shape to carry the load.

Use A$992$ steel. Include the self$-$weight of the beam in the design. Use the LRFD method. Limit the live load deflections to L$/360$ and make sure your beam is adequate for with respect to shear.