  We systematically study the mass spectra and their two-body hadronic decays
of the beauty-charm meson family considering the coupled channel effects. Our
results can good explain the observed $B_c$ meson spectrum and the prediction
of the mass spectrum for unobserved beauty-charm mesons can be tested in future
experiments. For the coupled channel components, we predicted the $1S$ state in
beauty-charm meson family is about $4\%$, while the $2S$, $1P$, $2P$, $1D$, and
$2D$ states are about $14\%$, $10\%$, $33\%$, and $17\%$ respectively. For the
$3S$, $2P$ and $2D$ states, the strong decay is allowed, The two-body hadronic
decay widths of the $3^1S_0$, $3^3S_1$, $2^3P_2$ states are about 110 MeV, 69
MeV, and 3 MeV, respectively. While the two-body decay widths of the $2^3D_1$,
$2D$, $2D^\prime$, and $2^3D_2$ states are 60 MeV, 149 MeV, 65 MeV, and 72 MeV,
respectively.
