For the beam shown, assume that EI = 130,000 kip-ft², P = 120 kips, and w = 5.0 kips/ft. Use discontinuity functions to determine
(a) the reactions at A, C, and D.
(b) the beam deflection at B.
Assume $L_{AB} = L_{BC} = 9.0$ ft, $L_{CD} = 18.0$ ft.
Sum the forces in the y direction to find an expression that includes the reaction forces $A_y$, $C_y$, and $D_y$ acting on the beam. Positive
values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since $D_x =$
0, it has been omitted from the free-body diagram.) Enter the correct value in the box below to produce the correct expression.
Answer: $A_y + C_y + D_y = $ \boxed{} kips