Do moment$/$bending check for C$1\_$E$1$

Length $=26$ft $6$ in$.$

Tributary width $=3\mathrm{.}12$ ft

Load $=734\mathrm{.}448$

Live load $=100\mathrm{.}25$ psf

Dead Load $=62\mathrm{.}5$ psf

Combine load $=235\mathrm{.}4$ psf

Example: Step $1$: T $=$ A s $*$ f y $=(1\mathrm{.}27$ in$2*4)(70,000$ psi$)=355,600$ lb

Step $2$: C $=\mathrm{.}85*$ f$$c $*$ a $*$ b $=(\mathrm{.}85)(4,000$ psi$)($a$)(18")=61,200$a

Step $3$: T $=$ C $355,600$ lb $=61,200$a a $=5\mathrm{.}81"$

Step $4$: d internal $=$ d $$ a$/2=24"-5\mathrm{.}81"/2=21\mathrm{.}10"$

Step $5$: Mn $=$ T $*$ dinternal $=355,600$ lb $*21\mathrm{.}10"=7,503,160$ lb$*$in

Step $6$: M max $=(7170)(200^2)/2=35,850,000$ lb$*$ft $=430,200,000$ lb$*$in

Step $7$:

Design $=\mathrm{.}9*$ M n $=\mathrm{.}9*7,503,160$ lb$*$in $=6,752,844$ lb$*$in

Existing $=$ Mmax $*$ FOS $=430,200,000$ lb$*$in $*1\mathrm{.}5=645,300,000$ psi

Design $<$ Exsiting $($Not Okay$)$