Q. The total horizontal and vertical stresses at a point X in a saturated sandy medium are 170 kPa and 300 kPa, respectively. The static pore-water pressure is 30 kPa. At failure, the excess pore-water pressure is measured to be 94.50 kPa, and the shear stresses on the vertical and horizontal planes passing through the point X are zero. Effective cohesion is 0 kPa and effective angle of internal friction is 36°. The shear strength (in kPa, up to two decimal places) at point X is
Ans: 51.50 – 53.50
Sol:
Effective angle of internal friction = ϕ
Critical shear plane = α
Vertical stresses = σ1
Horizontal stress = σ2
Normal Stress = σn
Excess pore-water pressure = u