Document Text Contents
Page 1
SEISMIC ANALYSIS OF MULTISTOREY BUILDING
WITH FLOATING COLUMN
A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF
THE REQUIREMENTS FOR THE DEGREE OF
Master of Technology
In
Structural Engineering
By
Sukumar Behera
Roll No. : 210CE2261
Department of Civil Engineering,
National Institute of Technology
Rourkela- 769008
MAY 2012
Page 2
“SEISMIC ANALYSIS OF MULTISTOREY BUILDING
WITH FLOATING COLUMN”
A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF
THE REQUIREMENTS FOR THE DEGREE OF
Master of Technology
In
Structural Engineering
By
Sukumar Behera
Roll No. : 210CE2261
Under the guidance of
Prof. A V Asha & Prof. K C Biswal
Department of Civil Engineering,
National Institute of Technology
Rourkela- 769008
MAY 2012
Page 46
27
Table 4.5 shows the value of free vibration frequency of the 2D frame calculated in present
FEM. It is observed from Table 4.5 that the present results are in good agreement with the result
given by Maurice Petyt [21].
Table 4.5 Free vibration frequency(Hz) of the 2D frame without floating column
Mode Maurice Petyt [21] Present FEM % Variation
1 15.14 15.14 0.00
2 53.32 53.31 0.02
3 155.48 155.52 0.03
4 186.51 186.59 0.04
5 270.85 270.64 0.08
Fig. 4.4 Mode shape of the 2D framework
Page 47
28
4. 3 Forced vibration analysis
Example 4.3
For the forced vibration analysis, a two bay four storey 2D steel frame is considered. The frame
is subjected to ground motion, the compatible time history of acceleration as per spectra of IS
1893 (part 1): 2002.
The dimension and material properties of the frame is as follows:
Young’s modulus. E= 206.84 x 106 kN/m2
Density, ρ = 7.83 x103 Kg/m3
Size of beam = (0.1 x 0.15) m
Size of column = (0.1 x 0.125) m
Fig. 4.5 Geometry of the 2 dimensional frame with floating column. Dimensions are in meter
Fig.4.6 shows the compatible time history as per spectra of IS 1893 (part 1): 2002. Fig.4.7 and
4.8 show the maximum top floor displacement of the 2D frame obtained in present FEM and
STAAD Pro respectively.
3
3
3
3
3 3
Page 92
73
10. Garcia Reyes, Hajirasouliha Iman, Pilakoutas Kypros, (2010),”Seismic behaviour of
deficient RC frames strengthened with CFRP composites”. Engineering Structures 32 (2010)
3075-3085.
11. Hartley Gilbert and Abdel-Akher Ahmed, “Analysis of building frames” Journal of
Structural Engineering, Vol. 119, No. 2, Page no:468-483, 1993.
12. Kattan P I (2003), “MATLAB guide to Finite Element”, Springer, Berlin & New York.
13. K. N. V. Prasada Rao, K. Seetharamulu, and S. Krishnamoorthy, “Frames with staggered
panels: experimental study” , Journal of Structural Engineering, VOL 110, No. 5, Page no:
1134-1148, 1984.
14. Krishnamoorthy CS, Finite element analysis, TMH Publications, 1987
15. Maison Bruce F. and Neuss Carl F., “Dynamic analysis of a forty four story building”,
Journal of Structural Engineering, Vol. 111, No. 7, Page No:1559- 572,July, 1985.
16. Maison Bruce F. and Ventura Carlos E., “DYNAMIC ANALYSIS OF THIRTEEN-
STORY BUILDING”, Journal of Structural Engineering, Vol. 117, No. 12, Page no:3783-
3803,1991.
17. Mortezaei A., Ronagh H.R., Kheyroddin A., (2009), “Seismic evaluation of FRP
strengthened RC buildings subjected to near-fault ground motions having fling step”.
Composite Structures 92 (2010) 1200–1211.
18. Niroomandia A., Maherib A, Maheric Mahmoud R., Mahini S.S. (2010) “Seismic
performance of ordinary RC frames retrofitted at joints by FRP sheets”. Engineering
Structures 32 (2010) 2326- 2336.
19. Ozyigit H. Alper, “Linear vibrations of frames carrying a concentrated mass”, Mathematical
and Computational Applications, Vol. 14, No. 3, pp. 197-206, 2009.
Page 93
74
20. Paz Mario (2010), “Structural dynamics”, CBS publishers.
21. Petyt Maurice (2010), “Introduction to Finite element vibration analysis” Cambridge
University Press, New York.
22. Sekulovic Miodrag, Salatic Ratko and Nefovska Marija, “Dynamic analysis of steel
frames with flexible connections”, Journal of computer and structures, Volume 80, Issue 11,
Page no: 935-955, Volume 80, 2002.
23. Vasilopoulosa A.A and Beskos D.E., “Seismic design of plane steel frames using advanced
methods of analysis”, Soil Dynamics and Earthquake Engineering Volume 26, Issue 12,
December 2006, Pages 1077-1100.
24. Williams Ryan J., Gardoni Paolo, Bracci Joseph M., (2009), “Decision analysis for
seismic retrofit of structures”. Structural Safety 31 (2009) 188–196.
25. Wilson E.L “Three dimensional Static and Dynamic analysis of structures-A physical
approach with emphasis on earthquake engineering”, Computers and Structures, Inc
Publication, 3rd Edition 2002.
SEISMIC ANALYSIS OF MULTISTOREY BUILDING
WITH FLOATING COLUMN
A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF
THE REQUIREMENTS FOR THE DEGREE OF
Master of Technology
In
Structural Engineering
By
Sukumar Behera
Roll No. : 210CE2261
Department of Civil Engineering,
National Institute of Technology
Rourkela- 769008
MAY 2012
Page 2
“SEISMIC ANALYSIS OF MULTISTOREY BUILDING
WITH FLOATING COLUMN”
A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF
THE REQUIREMENTS FOR THE DEGREE OF
Master of Technology
In
Structural Engineering
By
Sukumar Behera
Roll No. : 210CE2261
Under the guidance of
Prof. A V Asha & Prof. K C Biswal
Department of Civil Engineering,
National Institute of Technology
Rourkela- 769008
MAY 2012
Page 46
27
Table 4.5 shows the value of free vibration frequency of the 2D frame calculated in present
FEM. It is observed from Table 4.5 that the present results are in good agreement with the result
given by Maurice Petyt [21].
Table 4.5 Free vibration frequency(Hz) of the 2D frame without floating column
Mode Maurice Petyt [21] Present FEM % Variation
1 15.14 15.14 0.00
2 53.32 53.31 0.02
3 155.48 155.52 0.03
4 186.51 186.59 0.04
5 270.85 270.64 0.08
Fig. 4.4 Mode shape of the 2D framework
Page 47
28
4. 3 Forced vibration analysis
Example 4.3
For the forced vibration analysis, a two bay four storey 2D steel frame is considered. The frame
is subjected to ground motion, the compatible time history of acceleration as per spectra of IS
1893 (part 1): 2002.
The dimension and material properties of the frame is as follows:
Young’s modulus. E= 206.84 x 106 kN/m2
Density, ρ = 7.83 x103 Kg/m3
Size of beam = (0.1 x 0.15) m
Size of column = (0.1 x 0.125) m
Fig. 4.5 Geometry of the 2 dimensional frame with floating column. Dimensions are in meter
Fig.4.6 shows the compatible time history as per spectra of IS 1893 (part 1): 2002. Fig.4.7 and
4.8 show the maximum top floor displacement of the 2D frame obtained in present FEM and
STAAD Pro respectively.
3
3
3
3
3 3
Page 92
73
10. Garcia Reyes, Hajirasouliha Iman, Pilakoutas Kypros, (2010),”Seismic behaviour of
deficient RC frames strengthened with CFRP composites”. Engineering Structures 32 (2010)
3075-3085.
11. Hartley Gilbert and Abdel-Akher Ahmed, “Analysis of building frames” Journal of
Structural Engineering, Vol. 119, No. 2, Page no:468-483, 1993.
12. Kattan P I (2003), “MATLAB guide to Finite Element”, Springer, Berlin & New York.
13. K. N. V. Prasada Rao, K. Seetharamulu, and S. Krishnamoorthy, “Frames with staggered
panels: experimental study” , Journal of Structural Engineering, VOL 110, No. 5, Page no:
1134-1148, 1984.
14. Krishnamoorthy CS, Finite element analysis, TMH Publications, 1987
15. Maison Bruce F. and Neuss Carl F., “Dynamic analysis of a forty four story building”,
Journal of Structural Engineering, Vol. 111, No. 7, Page No:1559- 572,July, 1985.
16. Maison Bruce F. and Ventura Carlos E., “DYNAMIC ANALYSIS OF THIRTEEN-
STORY BUILDING”, Journal of Structural Engineering, Vol. 117, No. 12, Page no:3783-
3803,1991.
17. Mortezaei A., Ronagh H.R., Kheyroddin A., (2009), “Seismic evaluation of FRP
strengthened RC buildings subjected to near-fault ground motions having fling step”.
Composite Structures 92 (2010) 1200–1211.
18. Niroomandia A., Maherib A, Maheric Mahmoud R., Mahini S.S. (2010) “Seismic
performance of ordinary RC frames retrofitted at joints by FRP sheets”. Engineering
Structures 32 (2010) 2326- 2336.
19. Ozyigit H. Alper, “Linear vibrations of frames carrying a concentrated mass”, Mathematical
and Computational Applications, Vol. 14, No. 3, pp. 197-206, 2009.
Page 93
74
20. Paz Mario (2010), “Structural dynamics”, CBS publishers.
21. Petyt Maurice (2010), “Introduction to Finite element vibration analysis” Cambridge
University Press, New York.
22. Sekulovic Miodrag, Salatic Ratko and Nefovska Marija, “Dynamic analysis of steel
frames with flexible connections”, Journal of computer and structures, Volume 80, Issue 11,
Page no: 935-955, Volume 80, 2002.
23. Vasilopoulosa A.A and Beskos D.E., “Seismic design of plane steel frames using advanced
methods of analysis”, Soil Dynamics and Earthquake Engineering Volume 26, Issue 12,
December 2006, Pages 1077-1100.
24. Williams Ryan J., Gardoni Paolo, Bracci Joseph M., (2009), “Decision analysis for
seismic retrofit of structures”. Structural Safety 31 (2009) 188–196.
25. Wilson E.L “Three dimensional Static and Dynamic analysis of structures-A physical
approach with emphasis on earthquake engineering”, Computers and Structures, Inc
Publication, 3rd Edition 2002.
