Test: Swedish Circle Method - Civil Engineering (CE) MCQ

A simplified rectangular plot method for finding the stability of slopes was suggested by Singh in 1962.

According to the Swedish method,


Calculation:
Given, Total shear force = 480 kN
Total normal force = 1950 kN
Length of arc, L = 22 m
Radius of failure arc, R = 15 m
C = 24 kN/m² and  ϕ = 6°
The factor of safety with respect to shear strength is given by,

A number of trial critical slip circle are chosen against sliding and factor of safety of each is computed. The circle having the minimum factor of safety is the critical slip circle.

Critical condition of d/s slope occurs when the reservoir is full and percolation is at its maximum rate.

The stability of slopes of an earth dam is tested under the following conditions:
(i) Stability of downstream slope during steady seepage
(ii) Stability of upstream slope during a sudden drawdown
(iii) Stability of upstream and downstream slopes during and immediately after construction.

The area of U-diagram can be measured with the help of a planimeter, or else the rectangular plot method can be utilized.

The pore water pressure at any point is represented by the piezometric head hw at that point.

In Hilf’s equation hc refers to Henry’s constant of solubility of air in water by volume (= 0.02 at 68°F).

In Swedish slip circle method two cases are considered: i) analysis of purely cohesive soil (φu = 0) and ii) analysis of a soil possessing both cohesion and friction (C-φ analysis).

In the rectangular plot method if there are n-slices, the total number of ordinates will be (n-1), the ordinates at the end of the last strip being zero.