GTU Civil Engineering (Semester 6)
Earthquake Engineering
May 2015
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) For a two storey Steel framed railway station building with concentric bracing and without infill wall, find the seismic base shear, using equivalent lateral load method. Consider following data. (i) Location : Ahmedabad (ii) Soil condition : Medium soil (iii) Plan dimensions : 3 bays of 4 m each along X direction and 4 bays of 3 m each along Y direction. The intensity of dead load including column, beam and slab is 12 kN/m2 . Consider Live load on floor 3 kN/m2 . Consider 20 % damping. Height of floor is 3m.Also plot lateral load distribution diagram.
9 M
Answer following questions.
1 (b) 1 Define Resonance.
1 M
1 (b) 2 Evaluate with reason: For very stiff system PGA is equal to ZPA.
1 M
1 (b) 3 In which type of wave propagation volume of the medium changes but shape does not change? Explain.
1 M
1 (b) 4 Give difference between accelerogram and accelerograph.
1 M
1 (b) 5 What are the basic elements of any mathematical model in Earthquake engineering? Give the equation of forced damped vibration for SDOF system.
1 M

2 (a) For a square column of size 400 mm × 400 mm work out the diameter of the special confining hoop reinforcement as per IS:13920-1993. Take the concrete grade M 25 and steel grade Fe 415. Clear cover to longitudinal reinforcement is 40 mm.
7 M
2 (b) Derive the equation of damped free vibration of single degree of freedom system.
7 M
2 (c) Define Logarithmic decrement, how it is measured and derive the equation of Logarithmic decrement.
7 M

3 (a) A two storey single bay RC frame is supported by four corner columns. Building is located in Surat has lumped floor weights of 200 kN & having storey stiffness 80 kN/m at every floor level. Perform free vibration analysis and determine all natural frequencies & sketch all mode shape
7 M
3 (b) An acceleration response spectrum for SDOF system having 5% damping is shown in figure 1. Calculate maximum base shear and moment if the time period of the system is 0.5 sec. Take mass 8000 kg and height 4 m. What is the peak ground acceleration for this ground motion?

7 M
3 (c) A spring mass model consists of 10 kg mass and spring with stiffness 7 N/mm, was tested for viscous damped vibration. Test recorded two successive amplitudes 2and 1.5 Determine the natural frequency of undamped system, the logarithmic decrement , damping ratio, damping coefficient, damped natural period.
7 M
3 (d) Set up the equation of motion for the following damped SDOF system without external force and solve for the response under given condition.
K=320 N/m, m=5kg, c=4N-s/m, x(0)=1 and [dot{x}](0)=7.6.
7 M

4 (a) Explain earthquake resistant features of masonry structures.
7 M
Give difference between
4 (b) i) Magnitude and intensity
4 M
4 (b) ii) Soft storey and weak storey.
3 M
Write a short note
4 (c) i) Types of waves.
4 M
4 (c) ii) Earth interior.
3 M

5 (a) Analyze the three bay two storeys RC frame by Portal method. Lateral force of 200 kN & 120 kN is acting at first & second floor respectively. Height of first and second storey is 4 m and 3 m respectively. Bay width of each bay is.4 m. Draw axial force, shear force and bending moment diagram. Write short note on liquefaction. Explain factors affecting liquefaction.
7 M
5 (b) Write short note on liquefaction. Explain factors affecting liquefaction.
7 M
Explain in detail
5 (c) i) Rigid floor Diaphragm effect
4 M
5 (c) ii) Torsionally coupled and uncoupled system
3 M
5 (d) Enlist the different methods of structural control and explain any one in detail.
7 M



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