Question

) An embankment is inclined at an angle of 35° and its height is 15 m. The angle

of shearing resistance is 15° and the cohesion intercept is 200 kN/m2

. The unit

weight of soil is 18 kN/m3

. If the Taylor’s stability number is 0.06, find the

factor of safety with respect to cohesion. Also estimate the critical height of the

slope.​

Answer 1

Step-by-step explanation:

given data,

angle = 35°

Height =15m

angle of shearing resistance =15

C = 200 kN/m²

r= 18kN/m³

Taylor’s stability number is 0.06

since , N= cm/rH

0.06= cm/18×15

mobilised cohesion , cm= 0.06×18×15

cm= 16.2 kN /m²

cohension strength , C =200 kN/m²

factor of safety with respect to cohesion,

FC = C/Cm

= 200/16.2

FC = 12.4