The deformational response of plastic board drains installed to accele
rate consolidation of soft soils, is examined as a problem of downdrag
. The drain is modelled as a beam-column in which the axial load incre
ases nonlinearly with depth. The soil response is represented by the W
inkler medium whose coefficient of subgrade modulus increases linearly
with depth. The governing equations for the drain-soil system are der
ived and solved as an eigenvalue problem. The critical buckling loads
and the shape of the drain are obtained as functions of the normalized
subgrade modulus of the soil at the top, the parameters signifying th
e variation of axial load along the length of the drain and the increa
se of subgrade modulus with depth. The derived deformed shapes of the
drain are consistent with the observed ones.