Problem H$05-03.$ One$-$way reinforced$-$concrete slab design $[$Points: $1/5].$

Design a balcony slab of a residential house exposed to the weather. Observe how the moment diagram of the balcony is "scared$-$cat shape through$-$and$-$through". The cantilevered span is $8ft$ long and the service live load from residential house. Snow load is $S=30lb\frac{f}{f}t2$ and self$-$weight of the slab must be dead load D$.$ Apply Load Combinations $2,3,$ and $4$ only. Use steel reinforcement no greater than #$6$ size bars, and no smaller than #$3$; $f_c^{\text{'}}=4,000lb\frac{f}{i}{n}^2$;$f_y=60,000lb\frac{f}{i}{n}^2.$ Density of the concrete is ${}_c=100lb\frac{f}{f}{t}^3.$ Sketch the design. Exploit the instructor spreadsheet calculator posted in D$2$L to speed up the numerical calculations.

Hint$*$: Recall Example L$08-02$ of the $\text{'}$L$08-$ Concrete Flexion II$\text{'}$ handout. Review slides $23-26$ of $\text{'}$L$03$ External Loads' handout to obtain the live load L intensity of residential houses. Consider the house as a residential living area. Operate the steps demarcated in the 'Design of One$-$Way Slab' algorithm of Example L$08-02.$