$2-6.$ Determine the tributary widths and tributary areas of the beams, girders, and columns in the roof framing plan shown in Figure $2-17.$

FIGURE $2-17$ Roof framing plan for Exercise $2-6$

Assuming a roof dead load of $30$ psf and an essentially flat roof with a roof slope of $\frac{1}{4}in./$ft$.$ for drainage, determine the following loads using the ASCE $7$ load combinations. Neglect the rain load, $R,$ and assume the snow load, $S,$ is zero:

a$.$ Uniform dead and roof live loads on the typical roof beam in pounds per foot.

b$.$ Concentrated dead and roof live load reactions on the typical roof girder in pounds.

c$.$ Total factored axial load on the typical interior column in pounds.

d$.$ Total factored axial load on the typical corner column in pounds.