Which of the following statements are true?
A. The proportioning of footing in sand is more often governed by settlement rather than by bearing capacity.
B. The pressure bulb profiles under a strip footing form as co-axially imaginable bulbs under its length.
C. Friction piles are also called as 'floating piles'.
Choose the most appropriate answer from the options given below:
Step 1: Analyze each statement.
- (A) True: In sandy soils, settlement usually governs design rather than ultimate bearing capacity.
- (B) True: Pressure bulbs under strip footing are elongated and can be imagined as co-axial bulbs along its length.
- (C) True: Friction piles transfer load by skin friction, hence are called 'floating piles'.
Step 2: Conclusion.
All three statements are true $\Rightarrow$ Correct answer is (1).
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:
A square pile of section $50 \, \text{cm} \times 50 \, \text{cm}$ and length $15 \, \text{m}$ penetrates a deposit of clay having $C = 5 \, \text{kN/m}^2$ and the adhesion factor $\alpha = 0.8$. What is the load carried by the pile through skin friction only?