Step 1: Recall purpose of SHAKE.
SHAKE is a widely used computer program in geotechnical earthquake engineering that performs **1-D ground response analysis** using wave propagation methods.
Step 2: Analysis of options.
- (A) ETAB: Used for structural modeling and design, not specifically 1-D wave propagation.
- (B) SHAKE: Developed for 1-D site response analysis using wave propagation — correct.
- (C) STAAD: General-purpose structural analysis program.
- (D) PLAXIS: A finite element software for soil and rock mechanics, not limited to 1-D wave propagation.
Step 3: Conclusion.
Therefore, the correct answer is (B) SHAKE.
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:
Sequentially arrange the reactions of observers and type of damage during an earthquake in the increasing order of earthquake intensity measured at Modified Mercalli Intensity (MMI) Scale.
A. Earthquake is felt quite noticeably indoors, especially on upper floors of buildings. Damage: No damage. Standing motor cars may rock slightly.
B. Everyone runs outdoors. Noticed by persons driving motor cars. Damage: Considerable damage in poorly built or badly designed structures.
C. Earthquake is not felt except by a few people under especially favorable circumstances. Damage: No damage.
D. Earthquake is felt by nearly everyone, many awakened. Damage: Some dishes, windows broken, few cracks in plaster, unstable objects overturned.