To constrain the formation and chemical evolution of the Galactic disk, we surveyed open clusters of different ages, metal contents, and distances form the Galactic centre. We employed FLAMES on VLT-UT2 to collect UVES spectra of bright giant stars in each of the selected clusters, and used them to derive the iron abundance and the detailed chemical composition. Equivalent widths were measured and abundance analysis was performed using the MOOG code and Kurucz model atmospheres. We derived the abundance of Fe for Mg, Al, Ca, Si, Ti, Cr, Ni, and Ba. We employed direct line profile fitting to derive non-LTE Na abundances. We found [Fe/H]=-0.30, -0.31, +0.13, -0.33 for Be 20, Be 29, Cr 261, and Melotte 66, respectively (with rms values of 0.02 to 0.05dex). Alpha- and Fe-peak elements have solar ratios, Ba is enhanced, and Na has solar ratios, suggesting that treatment of non-LTE is very important. We confirm the presence of a metallicity gradient in the inner disk, and a flattening in the outer part.