GTU Civil Engineering (Semester 6)
Earthquake Engineering
December 2014
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 Using seismic coefficient method estimate the storey lateral forces at each floor level for a RCC framed office building and draws the distribution of storey lateral forces and shear. Use following data
(i) No. of storey and height: 5 storey with 3.5 m storey height
(ii) No. of bays : 4 bays along X and Y direction
(iii) Bay width: 5 m along, both X and Y direction
(iv) Slab Thickness : 125 mm
(v) Size of beam : 0.3 m (width) × 0.45 m (depth below soffit)
(vi) Size of column : 0.40 m × 0.40 m
(vii) Wall : 150 mm thick brick masonry All
(viii) Parapet: 1 m high 230 mm thick brick masonry
(ix) Live Load : 4 kN/m2
(x) Location : Gandhidham (Kutchh)
14 M

Choose most appropriate answer from the given alternatives.
2 (a) i) Zone factor generally represents.
(A) Seismicity of a region.
(B) Importance of the structure.
(C) Size of Structure.
(D) None of these
1 M
2 (a) ii) Generally damping for steel structure is taken as.
(A) 5% of critical damping.
(B) 2% of critical damping.
(C) 10% of critical damping.
(D) 20% of critical damping.
1 M
2 (a) iii) Fastest seismic waves are.
(A) Love waves.
(B) Raleigh waves.
(C) P waves.
(D) None of these.
1 M
2 (a) iv) Generally Intensity of earthquake.
(A) Increases away from the epicenter.
(B) Remains constant.
(C) Decreases away from the epicenter.
(D) None of these.
1 M
2 (a) v) The Himalaya has emerged from which inter plate interaction?
(A) Divergent Plate Boundary.
(B) Convergent Plate Boundary.
(C) Transformed Plate Boundary.
(D) None of these.
1 M
2 (a) vi) Earthquake is classified as shallow focus if focal depth is ..
(A) Less than 70 km.
(B) Less than 7 km.
(C) Less than 14 km.
(D) Less than 700 km.
1 M
2 (a) vii) Maximum intensity scale based on MSK scale is....
(A) X
(B) V
(C) XI
(D) XII
1 M
2 (b) Derive the motion equation for the forced undamped vibration.
7 M
2 (c) Derive the motion equation for the free damped vibration.
7 M

3 (a) List the four virtues of good earthquake resistance design and describe any one in detail.
7 M
3 (b) List and sketch the earthquake resistance feature of ordinary brick masonry structure.
7 M
3 (c) Explain soft storey? Explain how soft storey problems can be eliminated in the existing buildings.
7 M
3 (d) Explain how ductile design is helpful for better earthquake resistance.
7 M

4 (a) For a floor slab shown in the fig.1, Locate centre of mass and stiffness. Find design eccentricity and torsional moment if 200 kN force acts long Y direction. All columns are of 300 × 600 mm c/s with same height. Mass is uniformly distributed.

7 M
4 (b) Write short note on Liquefaction and remedial measures.
7 M
4 (c) Write short note on structural control.
7 M
4 (d) Describe various strengthening methods for RCC columns and beams through illustrative sketches.
7 M

5 (a) Analyse the plane frame shown in the fig. 2 using an appropriate approximate method and sketch SF and BM diagram.

7 M
5 (b) The building frame shown in the Fig.3 is given a 120 mm lateral displacement and released from the rest to vibrate freely. Find the logarithmic decrement and displacement of the system after 10 cycles and comments on the result. Consider 5% damping. Take EIcolumn = 1.2 × 1012 Nmm, EIbeam =∞.

7 M
5 (c) What is mathematical modeling? Enlist the dynamic parameters of model. Prepare mathematical model of the system shown in the fig.4 and find natural frequency of the system.

7 M
5 (d) A SDOF vibrating system is having following parameters.
m= 10 kg , k=80 N/m ,C=10 N s /m.
Determine (i) Damping Factor (ii) Natural Frequency ( iii) Damped frequency (iv) Logarithmic decrement (iv) No. of cycles after which the original amplitude reduces to 25 %
7 M



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