Question

Statement-I A curved, or. straight, line connecting the relevant stress points is called the stress path.
Statement-II : All the total stress paths and the effective stress paths for the drained tests are straight lines at a slope of $45°$.

• A. Both Statement (I) and Statement (II) are individually true and Statement (II) is the correct explanation of Statement (I)
• B. Both Statement (I) and Statement (II) are individually true but Statement (II) is NOT the correct explanation of Statement (I)
• C. Statement (I) is true but Statement (II) is false
• D. Statement (I) is false but Statement (II) is true

Answer 1

The correct option is C Statement (I) is true but Statement (II) is false

Progressive changes in the state of a particular load application can be represented by a series of Mohr circles. The locus of points on the Mohr diagram whose coordinates represent the maximum shear stress and the associated principal stress for the entire stress history is defined as a stress path. For given principal stresses ${\sigma }_1$ and ${\sigma }_3$, the coordinates of a point on the stress path are
$p=\frac{{\sigma }_1+{\sigma }_3}{2}$ and
$q=\frac{{\sigma }_1-{\sigma }_3}{2}$
Such a plot is referred to as $p-q$ diagram. The stress path for ${\sigma }_3=$ constant and cr1 increasing is a $45°$ line. Figure shows stress paths for different variations of ${\sigma }_1$, and ${\sigma }_3$. A stress path diagram may be constructed for total or effective stress conditions.