$1.$ Develop a flow chart of the process for determining the bar cutoff locations in flexural members. $2.$ A rectangular beam with cross section b $=14$ in$.,$ h $=24$ in$.,$ and d $=21\mathrm{.}5$ in$.$ supports a total factored load of $3\mathrm{.}9$ kip$/$ft$,$ including its own dead load. The beam is simply supported with a $22-$ft span. It is reinforced with five No$.7$ Grade$-60$ bars, two of which are cutoff between midspan and the support and three of which extend $10$ in$.$ past the centers of the supports. fc $=4000$ psi. $($normal weight$).$ The beam has Grade$-60$ No$.3$ stirrups satisfying ACI Code Sections $9\mathrm{.}7\mathrm{.}6\mathrm{.}2\mathrm{.}2$ and $9\mathrm{.}6\mathrm{.}3\mathrm{.}4.$ a$.$ Plot to scale the factored moment diagram. M $=$ w$$x$/2$ wx$2/2,$ where x is the distance from the support and $$ is the span. b$.$ Plot the moment strength diagram and locate the cutoff point for the two cutoff bars, such that the moment strength diagram stays above the factored moment. $3.$ The beam shown in Fig. $3$ is built of $4000-$psi normal$-$weight concrete and Grade$-60$ steel uncoated bars. The effective depth d$=18\mathrm{.}5$ in$.$ The beam supports a total factored uniform load of $5\mathrm{.}25$ kips$/$ft$,$ including its own dead load. The frame is not part of the lateral loadresisting system for the building. Select cut$-$off points for span B$-$C based on the following requirements: a$.$ Cut off two No$.6$ positive moment bars when no longer needed at each end. Extend the remaining bars into the columns. b$.$ Extend all negative$-$moment bars past the negative$-$moment point of inflection before cutting them off $1.$ Develop a flow chart of the process for determining the bar cutoff locations in flexural members.

$2.$ A rectangular beam with cross section $\backslash ($ b$=14\backslash$mathrm$\{$in$\}\backslash ).,\backslash ($ h$=24\backslash$mathrm$\{$in$\}\backslash ).,$ and $\backslash ($ d$=21\mathrm{.}5\backslash$mathrm$\{$in$\}\backslash ).$ supports a total factored load of $\backslash (3\mathrm{.}9\backslash$mathrm$\{$kip$\}/\backslash$mathrm$\{$ft$\}\backslash ),$ including its own dead load. The beam is simply supported with a $22-$ft span. It is reinforced with five No$.7$ Grade$-60$ bars, two of which are cutoff between midspan and the support and three of which extend $\backslash (10\backslash$mathrm$\{$in$\}\backslash ).$ past the centers of the supports. $\backslash ($ f$\_\{$c$\}\{\}^\{\backslash$prime$\}=4000\backslash )$ psi. $($normal weight$).$ The beam has Grade$-60$ No$.3$ stirrups satisfying ACI Code Sections $9\mathrm{.}7\mathrm{.}6\mathrm{.}2\mathrm{.}2$ and $9\mathrm{.}6\mathrm{.}3\mathrm{.}4.$

a$.$ Plot to scale the factored moment diagram. $\backslash ($ M$=$w $\backslash$ell x $/2-$w x$^\{2\}/2\backslash ),$ where $\backslash ($ x $\backslash )$ is the distance from the support and $\backslash (\backslash$ell $\backslash )$ is the span.

b$.$ Plot the moment strength diagram and locate the cutoff point for the two cutoff bars, such that the moment strength diagram stays above the factored moment.

$3.$ The beam shown in Fig. $3$ is built of $4000-$psi normal$-$weight concrete and Grade$-60$ steel uncoated bars. The effective depth $\backslash (\backslash$mathrm$\{$d$\}=18\mathrm{.}5\backslash$mathrm$\{$in$\}\backslash ).$ The beam supports a total factored uniform load of $\backslash (5\mathrm{.}25\backslash$mathrm$\{$kips$\}/\backslash$mathrm$\{$ft$\}\backslash ),$ including its own dead load. The frame is not part of the lateral loadresisting system for the building. Select cut$-$off points for span $\backslash ($ B$-$C $\backslash )$ based on the following requirements:

a$.$ Cut off two No$.6$ positive moment bars when no longer needed at each end. Extend the remaining bars into the columns.

b$.$ Extend all negative$-$moment bars past the negative$-$moment point of inflection before cutting them off.

$($a$)$ Elevation.

$($b$)$ Section $1-1.$

Fig. $3.$