Undisturbed samples from a normally consolidated clay layer were collected during a subsoil exploration. Drained triaxial tests showed that the effective friction angle was φ’ = 25°. The unconfined compressive strength, qu, of a similar specimen was found to be 133 kN/m2. Find the pore pressure at failure for the unconfined compression test.

Respuesta :

Answer:

pre water pressure [tex]= \sigma_1 = 208.76 kN/m2[/tex]

Explanation:

given data:

frictional angle  25°

unconfined xompressive strength  qu = 133 kN/m2

for clay, unconfined compressive strenth is cu

[tex]cu =\frac{qu}{2}[/tex]

cu = 133/2 =66.5 kN/m2

cell pressure [tex]\sigma_3[/tex] is zero in uncomfined compressive strenth test

from principle effective stress we have

[tex]\sigma_1 = \sigma_2 tan^{2}(45+ \frac{\theta}{2}) +2cu tan(45+ \frac{\theta}{2})[/tex]

[tex]\sigma_1 = 2cu tan(45+ \frac{\theta}{2})[/tex]

[tex]\sigma_1 = 2*66.5 tan(45+ \frac{25}{2})[/tex]

[tex]\sigma_1 = 208.76 kN/m2[/tex]

as this test is quick test i.e. undrained test therefore

pre water pressure [tex]= \sigma_1 = 208.76 kN/m2[/tex]