Load Distribution: Determine the beam diagram for Beam $2.$ Show your work, including any

work involving Beam $1$ that you use to get to the beam diagram for Beam $2.$ Shear and Moment: Determine the maximum shear and internal bending moment using the

beam diagram you created, and the shear and moment diagrams provided in lectures.

Show your work and take care with your units.

Choose the lightest $W_{18}$ beam using $M_{\text{m}\text{a}\text{s}}.$

Check the member for shear. Choose a new size if needed. Check the member for total load deflection and live load deflection due to the point load.

For the purpose of this problem, you can neglect the deflection due to the self$-$weight of the

beam. The self$-$weight deflection calculates to about $\frac{1}{{100}^{th}}$ of an inch.

Choose a new size if needed based on deflection.

Check to see that the self$-$weight assumed at the beginning $(70l\frac{b}{f}t$ is greater than the

actual self$-$weight of the selected beam.Steel Beam Design Problem $(40$ pts$)$

Use the information provided on "Steel Floor Framing Plan" and below to determine the lightest W$18$ beam that will work for Beam $2$ shown on the framing plan.

Information:

Dead Load $=82$ psf $($this value includes concrete on metal deck, finishes, mechanical, lighting, ceiling$)$

Live Load $=100$ psf

Assume Beam $2\text{'}$s Self$-$Weight is $70lb\frac{s}{f}t$

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STEEL FLOOR FRAMING PLAN