Matlab or Excel. A reinforced concrete rectangular beam has reinforcing bars placed at $24$ in$.$

from the compression side. The width of the beam is $12in.$ Cover from the center of rebar to

edge of concrete is $3$ in $.$ Calculate the nominal flexural strength for the following.

a$)(10pts)f_y=80,000,f^{\text{'}}c=5,000,A_s=$ two No$.8$ bars

b$)(5pts)f_y=80,000,f_c=5,000,A_s=$ two No$.10$ bars

c$)(5$ pts$)f_y=80,000,f_c=5,000,A_s=$ three No$.10$ bars

d$)(10pts)f_y=80,000,f_c=5,000,A_s=$ balanced reinforcement amount.

e$)(10pts)f_y=80,000,f_c=5,000,A_s=$ maximum reinforcement amount allowed by

ACI $318-19$ for

f$)(10$ pts $)$ Plot all your cases on ${}_s$ vs $M_n$ and c vs $M_n$ graphs, following the examples

below. Name each case as given in the example. Mark tension control, compression

control, and transition zones on your graph.