5. The following assumptions were made by Taylor when deriving a theoretical solution to assess the stability of a finite slope I. The slope is plane and is of finite length; the top and bottom surfaces are plane and horizontal. II. No shearing stresses act on the plane of the section; therefore the problem is two-dimensional. III. The soil is homogeneous, un-fissured and isotropic to a depth well below the critical slip surface. IV. No seepage forces are present within the soil. V. No water table exists within the soil under stress. VI. The surface of slip is a circular arc. VII. No tension cracks are present in the soil. VIII. The ca and do developed by the soil for equilibrium are the same throughout the arc at any given instant IX At failure, the shear strains at all points of the critical surface must be large enough to mobilise all available shear strength. A Draw a sketch that demonstrates Assumption No J, given above. (3 points) B Draw a sketch that demonstrates Assumption No.JI, given above. (3 points) C Assumption No VII states that no tension cracks are considered in this analysis. Explain the influence that a tension crack may have when Taylor's stability analysis is used to assess stability (3 points) D Compare parameters c and ca, and 0 and od. (3 points) E Figure Q5(e) represents the typical stress-strain behaviour observed for a soil. Explain Assumption No. IX based on observed stress-strain behaviour of soils. (4 points) Shear Stress -Peak Strength -Residual Strength Vertical Strain Figure Q5(e) 5. The following assumptions were made by Taylor when deriving a theoretical solution to assess the stability of a finite slope I. The slope is plane and is of finite length; the top and bottom surfaces are plane and horizontal. II. No shearing stresses act on the plane of the section; therefore the problem is two-dimensional. III. The soil is homogeneous, un-fissured and isotropic to a depth well below the critical slip surface. IV. No seepage forces are present within the soil. V. No water table exists within the soil under stress. VI. The surface of slip is a circular arc. VII. No tension cracks are present in the soil. VIII. The ca and do developed by the soil for equilibrium are the same throughout the arc at any given instant IX At failure, the shear strains at all points of the critical surface must be large enough to mobilise all available shear strength. A Draw a sketch that demonstrates Assumption No J, given above. (3 points) B Draw a sketch that demonstrates Assumption No.JI, given above. (3 points) C Assumption No VII states that no tension cracks are considered in this analysis. Explain the influence that a tension crack may have when Taylor's stability analysis is used to assess stability (3 points) D Compare parameters c and ca, and 0 and od. (3 points) E Figure Q5(e) represents the typical stress-strain behaviour observed for a soil. Explain Assumption No. IX based on observed stress-strain behaviour of soils. (4 points) Shear Stress -Peak Strength -Residual Strength Vertical Strain Figure Q5(e)