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Direct Shear Test

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Shear strength of Soil

- Internal pressure per unit area that the soil mass can
offer to resist failure and sliding along any plane inside it.
(Braja M Das.)

Mohr-Coulomb Failure Criterion


DIRECT SHEAR TEST
The direct shear test is the oldest and simplest form of shear test
arrangement. A diagram of the direct shear test apparatus as shown. The
test equipment consists of a metal shear box in which the soil specimen is
placed. The box is split horizontally into halves. Normal force on the
specimen is applied from the top of the shear box. Shear force us applied
by moving one half of the box relative to the other to cause failure in the soil
specimen.
Considering upper half of free body diagram.

Mohr’s failure envelope and Mohr=Colulomb failure criteria (with cohesion)


1. Direct shear tests were performed on a clayey soil. The size of
the specimen was 50mm x 50mm x 20mm. Test results are as
follows. Determine the cohesion and angle of internal friction for
the soil sample.
Trial Normal Force (N) Shear Force at Failure (N)

1 120 114

2 220 179

3 320 239

4 420 286
2. The subsoil at the site consists of a 10m thick homogeneous
layer of dense sand having the following properties: Yd = 16
kN/m^3, Gs = 2.68, ∅ = 35°. The natural ground water table lies at
2m below the ground surface.
a. Determine the shear strength of the soil along a horizontal
plane through the middle of sand layer.
b. If during monsoon, the water table rises to the ground level,
determine the shear strength of the soil along a horizontal plane
through the middle of sand layer.
c. Determine the change in shear strength at 10m depth.
3. A direct shear test is performed on a specimen of dry sand. The
shear box is circular in cross-section with a diameter of 50mm.
The normal force imposed on the specimen is 250N. The soil
shears when the shear force is 150N. Determine the angle of
internal friction of this sand.

4. A 7-m thick soil has water table 3m below the ground surface.
The soil above the water table has degree of saturation of 45%,
void ratio of the soil is 0.4 and solids have specific gravity of 2.7.
Tests show that she soil have angle of internal friction of 32 deg.
and cohesion of 14.6 kPa. What is the potential shear strength on
a horizontal plane at a depth of 2m below the ground surface?

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