  We present a general form for the solution of an expanding
general-relativistic Friedmann universe that encounters a singularity at finite
future time. The singularity occurs in the material pressure and acceleration
whilst the scale factor, expansion rate and material density remain finite and
the strong energy condition holds. We also show that the same phenomenon
occurs, but under different conditions, for Friedmann universes in gravity
theories arising from the variation of an action that is an arbitrary analytic
function of the scalar curvature.
