  We investigate Strichartz estimates for the nonlinear beam equation with
initial data $f\in\dot{H}^s, g\in\dot{H}^{s-2}$ and $f\in H^s, g\in H^{s-2}$.
We extend results of H. Lindblad and C. D.Sogge [10] and T. Cazenave and F. B.
Weissler [4] to nonlinear beam equations to determine the minimal regularity
that is needed to prove well-posedness and scattering results with low
regularity data. Finally, we also use small dispersion analysis of M. Christ,
J. Colliander and T. Tao [2] to prove the nonlinear beam equation is ill-posed
in defocusing case $\omega=-1$ when $ 0<s<s_c=\frac{n}{2}-\frac{4}{\kappa-1}$.
