The horizontal beam shown in the figure has fixed supports at F and L. Internal hinges are provided at locations G and J. The beam supports vertically downward concentrated loads as well as uniformly distributed loads, as shown in the figure.
(Figure not to scale)
Span F-G = 4 m carries a UDL of 5 kN/m. A 20 kN point load acts right at hinge G. A 30 kN point load acts at H, the midpoint of the hinge-to-hinge span G-J (G-H = H-J = 2 m each, hinge at J). Span J-K = K-L = 2 m each, with span K-L carrying a UDL of 4 kN/m.
The upward vertical reaction (in kN) at the support L is