Effects of hydrostatic pressure on the charge ordering (CO) transition in the Bi0.4Ca0.6MnO3 films respectively grown on (110) and (111) SrTiO3 substrates have been experimentally studied. X-ray diffraction analysis indicates the occurrence of very differently deformed structures of the two films. Linear decrease of the CO temperature (TCO) at different rates, ~12 K/GPa for the (110)-film and ~19 K/GPa for the (111)-film, is observed. Accompanying the depression of TCO, partial melting of the charge-ordered phase occurs above a threshold pressure, ~0.8/1.2 GPa for the (111)/(110)-film. Analysis of the relative volume fraction of the CO phase, obtained based on the effective medium theory, shows that the CO collapsing occurs in a wide pressure range, typically ~1.2 GPa in width, and there will be no long-range CO phase above the pressure of ~2/2.3 GPa for the (111)/(110)-film. There is an exact correspondence between the CO melting and the pressure-driven upturn of resistivity above TCO, suggesting the simultaneous occurrence of CO melting and shear-type lattice distortion. Different lattice strains are believed to be the reason for the dissimilar behaviors of the two films.