The theory describing the stretching of a weakly charged polyelectroly
te molecule by elongational shear flow is developed. It is shown that
for a polyelectrolyte immersed in a salt-added solution two critical v
alues of shear flow gradient exist: the lower critical point correspon
ds to the chain stretching on the scale of superblobs of size equal to
the Debye screening length and the upper critical point corresponds t
o the complete stretching of the chain on the scale of monomer units.