The static shape of a drop levitated and flattened by an acoustic stan
ding wave field in air is calculated, requiring self-consistency betwe
en the drop shape and the wave. The wave is calculated for a given sha
pe using the boundary integral method. From the resulting radiation st
ress on the drop surface, the shape is determined by solving the Young
-Laplace equation, completing an iteration cycle. The iteration is con
tinued until both the shape and the wave converge. Of particular inter
est are the shapes of large drops that sustain equilibrium, beyond a c
ertain degree of flattening, by becoming more flattened at a decreasin
g sound pressure level. The predictions for flattening versus acoustic
radiation stress, for drops of different sizes, compare favorably wit
h experimental data.