$4.)$ Consider the $2$D beam supported by a pin$-$joint at B and a roller at A$.$

EXTERNAL FORCES

a$)$ Draw a FBD$.$ Include all external reaction forces & moments.

b$)$ Solve for the values of all external reaction forces & moments.

INTERNAL FORCES

c$)$ Draw the internal shear force diagram $($SFD$)$ for the beam.

Label the maximum and minimum values on the graph.

d$)$ Draw the internal bending moment diagram $($BMD$)$ for the beam.

Label the maximum and minimum values on the graph.

e$)$ What is the bending moment at point C$?$ sagging or hogging?

f$)$ What is the bending moment at point D $?$ sagging or hogging?