Rapidity-odd component of directed flow ($v_{1}$) is considered to be sensitive to the early collision dynamics
and the equation of state (EoS) of QCD matter formed in heavy-ion collisions. Hydrodynamic models predict that the double sign
change of $v_1$ rapidity slope (d$v_{1}$/dy) of net-baryon is a signature of first order phase transtion~[1]. The STAR experiment
at RHIC~[2] shows the d$v_1$/d$y$ distribution of net-proton and net-$\Lambda$ have a minimum at 14.5 GeV, implying the softening
of EOS. A comprehensive transverse momentum ($p_{T}$) dependent $v_1$ measurement of strange and non-strange light hadrons
($\pi^{+}$, $\pi^{-}$, $K^{+}$, $K^{-}$, $p$, $\overline{p}$, $K^{0}_{S}$, $\Lambda$, $\overline{\Lambda}$, $\phi$)  enable us to
test the coalescence sum rule for better understanding of particle production mechanism. New results of $p_{T}$ and pseudorapidity
($\eta$) dependent $v_{1}$ for identified hadrons in Au+Au collisions at $\sqrt{s_{NN}}$ = 19.6, 27, 54.4 and 200 GeV will be
presented. These results will be compared with model calculations for physics interpretations..