Linearly elastic, homogeneous, uniform bars BCD and FG shown in the figure have fixed supports at B and G, respectively. For both the bars, axial rigidity is \(20000\) kN. A gap of \(2\) mm exists between D and F prior to application of any load (i.e. \(P = 0\)). Small deformation and infinitesimal strain assumptions are valid for the given bars.
(Figure not to scale)
The magnitude of the horizontal reaction (in kN) at B after application of the axial force P of \(20\) kN at C is
(rounded off to the nearest integer).