PLEASE I AM BEGGING YOU TO DO STEP BY STEP. I have read all cheggs solutions and i still do not understant. the county purchased an old bank building for use in the downtown community college campus. The old bank vault

is located on the second floor. The idealized framing plan for the floor system is shown below. A floor slab is

constructed using $3-$inch thick stone concrete $(12\frac{lb}{f{t}^{2}in}).$ The vault walls are made of $3-$in thick lightweight solid

concrete masonry $(8\frac{lb}{f{t}^{2}in})$ and have a height of $10$ ft $.$ The college library wants to store their special collections of

books and manuscripts in the old vault. The live load on the slab for the whole floor is $40$ psf $,$ and the expected load

in the library would increase the floor load only in the vault by another $100$ psf $.$ Beam DOF was spliced together

with supports as shown in Figure $2.$ The beam max moment capacity is $50$ k $-$ft$.$

You are requested to analyze beam DOF to determine whether or not the beam can hold the anticipated loads.

Figure $2$

Neglect the self$-$weight of the beams.

Determine the loading on beam DOF. Draw the loads on Figure $2.$ Hint: $($Is the slab a $2-$way slab? How is the loading

from the vault wall applied to the elements?$)$

What are the reactions at $D,O,$ and $F?$

Determine the shear and moment functions of beam DOF as function of $x.$

Draw the shear and moment diagrams for beam DOF. Show the magnitude and slope in the shear and moment

diagram at intercepts$/$inflections$/$maxima and minima points.

Determine location and magnitude of max moment in beam DOF. Will the beam fail?

Extra credit. What options can you as the engineer provide to the college to help develop their library collection and

ensure safety for the students?