$*$Probs$.8\mathrm{.}6-43$ and $8\mathrm{.}6-44.$ Each of these two$-$span continuous$-$beam problems involves a nonuniform beam with one degree of static indeterminacy. To solve these by Force$-$Method Superposition you can treat each of these problems as two simply supported beams that have compatible slope where they are joined together at $B.$ One beam has flexural rigidity $EI,$ and the other has flexural rigidity $2$EI$.$ You can find the necessary subproblem solutions in Table E$\mathrm{.}2.$ You will have to consider carefully the internal shear force and bending moment acting on each beam at joint $B.$ The free$-$body diagrams give you appropriate names for these internal shear forces and bending moments.

For these nonuniform beams, $($a$)$ determine the internal moments at $B,(M_1{)}_B$ and $(M_2{)}_B$; and $($b$)$ determine the reactions $R_A$ and $R_B.$