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Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
ME SEMESTER II EXAMINATION WINTER 2018
Subject Code: 2722010 Date: 12-Dec-2018
Subject Name: Structural Dynamics and Earthquake Engineering
Time: 02:30 PM To 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

What is the natural period of vibration of the second system with
respect to first if both systems are identical except support condition?
First system has fixed support second system has hinged support.
04

A spring mass system with mass, and stiffness, has a natural frequency, f. Calculate the value of stiffness of other spring which when connected to k in parallel increases the frequency by 30%.
04

Enlist any four Indian code of practice along with their full name and code number related to Earthquake Engineering.
03

Give four virtue of good earthquake resistant design.
03
Q.2

Derive expression to calculate equivalent stiffness of spring when connected in series and parallel.
07

What do you mean by spectrum analysis of structure? Explain steps involved inspectrum analysis. What are its limitations?
07
OR

Explain concept of ductile detailing explain factor affecting the ductility of structures in detail. Also explain ductile detailing of beam column joint as per IS 13920 1993
07
Q.3

Calculate lateral forces due to earthquake and base shear for the five story R.C. frame building for hospital located in Gandhinagar, using equivalent force procedure mentioning appropriate clauses of the code for the following data:
No. of bays in x-direction 5
No. of bays in y-direction
Bay width in both direction m
Story height =3.2 m
Thickness of Slab =150 mm
Size of Beam 230 mm x 400 mm
Size of Column 300 mm x 600 mm
Internal wall thickness 115 mm
Internal wall thickness 230 mm
Consider appropriate live load and SMRF system. Draw shear distribution at each floor level.
07

Explain modal mass participation and Missing mass correction
07
OR
Q.3
Using response spectrum method of analysis as per IS:1893, calculate design lateral forces, storey shear and storey drift for a two storied single bay ordinary moment resisting steel frame located in Rajkot and resting on medium soil. The mass on each floor is 2.2 tone andstory stiffness is 276 kN/m for both storey. Height of each floor is 3.1 m and bay width 4.5m. Consider I=1.0.
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Q.4

Explain response spectrum and spectrum.
07

Explain failures of masonry structures observed in any recent earthquake and how will you improve performance of masonry building
07
OR
Q.4
Derive equation of motion of SDF system and its solution without considering damping forces and externally applied forces.
07
A simply supported beam of negligible mass spanning 5 m supports carries a machine of 28 kN at center with an unbalanced rotor applying a vertical force of 42 sin 44t kN. The damping force is 0.38 kN-s/m and flexural rigidity of beam is 29000 kN-m2. Determine amplitude of vibration at resonance and maximum amplitude of vibration.
07
Q.5
A typical floor as shown in Figure 1 is subjected to design lateral force of 150 kN in x-direction. Size of column is 400 mm x 600 mm and mass is uniformly distributed. Using appropriate clauses of code, carry out lateral forces on the column.
14
OR
Q.5

Obtain equation of motion for forced damped SDOF system.
07

For a single storey two bay reinforced concrete plane frame with fixed column support, calculate maximum shear force and bending moment at supports after five cycle of vibration if the floor is given initial horizontal displacement of 150mm and released suddenly. Columns are 500 mm in square cross section with M20 concrete.
07
Figure 1
5 m
5 m
6 m