Select the lightest $"3$ x $"$ beam to support a uniformly distributed load over the whole length of the simply supported beam. The live load is $180$ lb$/$ft and the dead load is $100$ lb$/$ft$.$ The beam is made of Eastern White Pine and the span is $10$ ft$.$ Deflection is not to exceed span$/360$ for the live load. Bearing length is $2$ in$.$ at each end and the width of the beam is $2\mathrm{.}5$ in$.$ Use the method described in the textbook and videos and check for bending moment including self$-$weight, deflection, shear, and bearing.

Write the values of Sx required, Ix required, A required, and Fcp required in the box below and upload your calculations on separate paper.Select the lightest $"3x"$ beam to support a uniformly distributed load over the whole length

of the simply supported beam. The live load is $180l\frac{b}{f}t$ and the dead load is $100l\frac{b}{f}t.$ The

beam is made of Eastern White Pine and the span is $10$ ft $.$ Deflection is not to exceed

span$/360$ for the live load. Bearing length is $2$ in$.$ at each end and the width of the beam is $2\mathrm{.}5$

in$.$ Use the method described in the textbook and videos and check for bending moment

including self$-$weight, deflection, shear, and bearing.

Write the values of $S_{x\text{r}\text{e}\text{q}\text{u}\text{i}\text{r}\text{e}\text{d}\text{,}}{I}_x$ required, $A_{\text{r}\text{e}\text{q}\text{u}\text{i}\text{r}\text{e}\text{d}\text{,}},$ and $F_{cp}$ required in the box below and upload your

calculations on separate paper.