Soil Mechanics and Foundation
Coefficient of compressibility is

independent of type of soil but depends on the stress history of soil
constant for any type of soil
different for different types of soils and also different for a soil under different states of consolidation
different for different types of soils but same for a soil under different states of consolidation

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Soil Mechanics and Foundation
A tri-axial shear test is preferred to direct shear test, because

None of these
Precise measurement of pore pressure and change in volume during test, is not possible
Stress distribution on the failure plane, is non uniform
It can be performed under all three drainage conditions with complete control

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