Answer to Question #207147 in Civil and Environmental Engineering for Sandy

Question #207147

cylindrical sample of soil is isotropically compressed under drained condition with a vertical stress of 100 kPa and a radial stress of 100 kPa. Subsequently, the axial stress was held constant and the radial stress was increased to 300 kPa under an un-drained condition.

(a) Calculate the initial mean effective stress and deviatoric stress. Create a graph with the x-axis as p, p’ and the y-axis as q (p, q space). Plot these values in (p,q) space

(b) Calculate the increase in mean total stress and deviatoric stress.

(c) Plot the total and effective stress paths (assume the soil is a linear, isotropic, elastic material).

(d) Determine the slopes of the total and effective stress paths and the maximum excess pore water pressure for each space.

Expert's answer

a)Initial Condition

"s'=s \\frac{\\sigma_a+\\sigma_r}{2}=\\frac{100+100}2=100kPa"

"t=\\frac{\\sigma_a- \\sigma_r}2=\\frac{100-100}2=0"

b) Loaded Condition

"\\triangle s= \\frac{\\triangle \\sigma_a+ \\triangle \\sigma_r}2= \\frac{0+200}2=100kPa"

"\\triangle s'=0=" Slope of effective stress path (ESP) for elastic soil

"\\triangle t= \\frac{\\triangle \\sigma_a- \\triangle \\sigma_r}2=\\frac{0-200}2 kPa=-100kPa"


d) Slope =1.5

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