1. Write True or False for the following:

The magnitude of an earthquake is a measure of the amount of energy released.

The motion of the ground can be described in terms of displacement velocity or acceleration.

A single storey structure can be modelled as multiple degrees of freedom system.

Buildings irregular in plan and elevation, without re-entrant corners or discontinuities in transferring the vertical loads to the ground, display good seismic behaviour.

Non-structural elements such as claddings, in-fill walls, partition walls, etc. interfere with the free deformation of the structure and thus become structurally very responsive in earthquake.

A non-linear dynamic analysis or inelastic time history analysis is the only method to describe the actual behaviour of a structure during an earthquake.

Horizontal diaphragms should be arranged to prevent relative horizontal deflection between vertical wall and columns.

2. Consider the pendulum in Figure 1 with mass connected to a chord of length oscillating in the gravity field.

<img src='./qimages/15464-2.jpg'>

Determine its equation of motion.

Solve the equation of motion for small oscillations, when the motion starts with an initial displacement 8o

3. Determine the free vibration response of a single-degree of freedom system shown in Figure 2 at time t =0·20 s for the following data:

Natural circular frequency, w =12 rad/s
Damping factor, G =0·15
Initial velocity, 10 cm/s
Initial displacement, cm

<img src='./qimages/15464-3.jpg'>

4. Discuss the various materials and techniques used for column jacketing and beam jacketing.

5. Name the various modelling techniques of the structures and explain them in brief. Discuss the lumped mass approach in detail.

6. Determine the frequency and design seismic coefficient for an ordinary masonry shear wall in a primary health centre. Given the following data:

Roof load =15 kN/m
Height of the wall =3·0 m
Thickness of the wall =0·2 m
Unit weight of the wall =9·2 kN/m^3
The building is situated on soil medium.

7. Write short notes on any four of the following:

Response Spectra

Restoring Force

Buckling of Reinforcing Bars

Splices

Storey Drift

Soft Storey