An analytical solution for the structural serviceability problem of co
ncrete creep response is developed herein. The solution is based on st
ochastic crossing theory, using the upcrossing rate approach for nonst
ationary stochastic processes. Both the creep effect and applied load
are modelled as Gaussian stochastic processes. Since the creep effect
is nonlinear in time the resultant structural response is a nonstation
ary process. Several simple but plausible simplifications are made to
render the solution analytically tractable. An example is given to ill
ustrate the approach and the analytical results have been verified by
simulation.