PLEASE SOLVE ALL STEPS. Select the lightest A$992$ steel $"W"$ section shape for the $26-ft$ interior girder $($F$).$

Girder $($F$)$ is spanning between columns $($S$)$ and $($T$).$

Consider the beams reactions to act as point loads on the girder. Use LRFD$.$

Use live load reduction if permitted by ASCE $7.$

Show your calculations of the tributary area of the girder and sketch the area on the floor plan

a$)$ Check for flexural strength.

b$)$ Determine the adequacy for deflection due to dead load plus live load. Maximum deflection due to dead plus live loads $$ Span$/240$

Calculate the deflection at midspan.

c$)$ Check for shear strength.

Depth of girder $<mn>1</mn><mn>9</mn>$ inches

Dead Load$=84$psf $($included beams self$-$weight$)$

Girder Self weight$=$ to be determined

Live Load$=95$ psf

Check the adequacy of the girder using the AISC Manual aids.

Provide the number of the table or figure of the aids being used and the number of the equations.

Justify the use of them.

Sketch of floor framing plan is shown on the next page.