This paper discusses the elastic behavior of a single polyelectrolyte
chain. A simple scaling analysis as in self avoiding,walk chains are n
ot possible, because three interplaying relevant length scales are inv
olved, i.e., the Debye screening length and the Pincus blob size. Ther
efore a self-consistent computation of an effective variational propag
ator is employed. It is shown that the elastic force as a function f o
f the distance R behaves as f proportional to R for small f. For large
r forces we find a new regime, characterized by deformations larger th
an a computed electrostatic ''blob size''. These results are supported
by simulations and intuitive physical arguments.