Step 1: Effect of groundwater table.
The position of the groundwater table influences the effective stress and, hence, the bearing capacity of soil.
Step 2: Compare cases.
- When groundwater is at a depth greater than the width of footing: No effect.
- When groundwater is at the base of footing: Partial reduction in effective stress.
- When groundwater is at ground level: Maximum reduction in effective stress throughout the soil depth.
Step 3: Conclusion.
Thus, the minimum bearing capacity occurs when the groundwater table is at ground level.
The solution(s) of the ordinary differential equation $y'' + y = 0$, is:
(A) $\cos x$
(B) $\sin x$
(C) $1 + \cos x$
(D) $1 + \sin x$
Choose the most appropriate answer from the options given below:
For the matrix, $A = \begin{bmatrix} -4 & 0 \\ -1.6 & 4 \end{bmatrix}$, the eigenvalues ($\lambda$) and eigenvectors ($X$) respectively are:
The value of $\iint_S \vec{F} \cdot \vec{N} \, ds$ where $\vec{F} = 2x^2y \hat{i} - y^2 \hat{j} + 4xz^2 \hat{k}$ and $S$ is the closed surface of the region in the first octant bounded by the cylinder $y^2 + z^2 = 9$ and the planes $x = 0, x = 2, y = 0, z = 0$, is:
The value of the integral $\displaystyle \oint_C \frac{z^3 - 6}{2z - i} \, dz$, where $C: |z| \leq 1$, is:
In a constant head permeameter, having cross-sectional area of $20 \, \text{cm}^2$, when the flow was taking place under a hydraulic gradient of $0.5$, the amount of water collected is $1200 \, \text{cm}^3$ in $60 \, \text{sec}$. The permeability of the soil is:
If the effective stress strength parameters are $C' = -10 \, \text{kPa}$ and $\phi' = 30^\circ$, the shear strength on a plane, within the saturated soil mass at a point where total normal stress is $300 \, \text{kPa}$ and pore water pressure is $150 \, \text{kPa}$, will be:
From a flow-net, which of the following information can be obtained?
A. Rate of flow
B. Pore water pressure
C. Exit gradient
D. Permeability
Choose the most appropriate answer from the options given below: