The shear strength of soft sediments may be assessed by field tests, princi
pally either vane tests or cone penetrometer tests. The continuous profile
of strength obtained from the cone penetrometer is an advantage over the va
ne test, although the significant corrections for overburden stress, and po
re pressure acting on the back face of the cone, limit its accuracy in soft
soils. Alternative shapes for penetrometers have been suggested, for examp
le a cylindrical T-bar and a spherical ball, both of which allow full flow
of soil around the probe, thereby obviating the need for corrections due to
the ambient stress level. Plasticity solutions have been available for som
e while relating the (average) shear strength of the soil to the net bearin
g pressure for plane strain how around the cylindrical T-bar. This paper do
cuments a corresponding solution for a spherical penetrometer, using upper
and lower bound approaches supported by finite element analysis. Effects of
strength anisotropy are discussed in the light of example results comparin
g the measured resistance of cone, T-bar and ball penetrometers.