International Journal of Engineering Research and Developmente-ISSN: 2278-067X, p-ISSN : 2278-800X, www.ijerd.comVolume 5,...
Inter-Relationship between Moment Values of Columns in a Building with…                        Fig. 1 Typical Plan of Comm...
Inter-Relationship between Moment Values of Columns in a Building with…               Model 3: Mx Values of column for Zon...
Inter-Relationship between Moment Values of Columns in a Building with…                                       Mx Values fo...
Inter-Relationship between Moment Values of Columns in a Building with…                                                   ...
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Welcome to International Journal of Engineering Research and Development (IJERD)

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Welcome to International Journal of Engineering Research and Development (IJERD)

  1. 1. International Journal of Engineering Research and Developmente-ISSN: 2278-067X, p-ISSN : 2278-800X, www.ijerd.comVolume 5, Issue 2 (December 2012), PP. 55-59Inter-Relationship between Moment Values of Columns in a Building with Different Architectural Complexities and Different Seismic Zones Onkar V. Sapate J.L.C.C.E., Civil Engg. Dept.., Nagpur Abstract:- Many high rise buildings are planned and constructed with architectural complexities. The complexities includes soft storey at lower level or at any intermediate level, floating column at various levels and shear wall provided in basements, etc. High rise buildings are critically analyzed for the effect of earthquake. Earthquake loads as specified in IS 1893 (part 1): 2002 are considered in the analysis of building. A G+15 storeyed high rise building with different architectural complexities is analyzed for various earthquake zones. In over all study of seismic analysis, critical load combinations are found out. For these critical load combinations, zone wise variation in moments on columns at ground floor level are compared and significant co- relationship between these moment values are established. Mathematical models developed can be used with reasonable accuracy. Keywords:- Architectural Complexities, Seismic Zones, Seismic Analysis, Critical Load Combinations, Mathematical Models I. INTRODUCTION A G+15 storeyed high rise building with different architectural complexities such as soft storey at lower level or atany intermediate level, floating column at various levels and providing shear wall is analyzed for various earthquake zones.Details of the structure are given in table 1. Table I Type of Structure R.C.C framed, G+15 with Basement for Parking Area of individual floor 41677.54 Sq. ft. Storey Height 3.5 m Earthquake Zone II, III, IV, V Type of soil Medium Lateral Load Resisting System Ordinary RC moment-resisting frame (OMRF) Response Reduction Factor, R 3.0 Live Load 4 KN/m2 Number of Footings 121 1. Self Wt. of whole Structure Dead load 2. Wt .of Brickwork = 13.34 KN/m 3. Slab Load = 4.125 KN/m2 II. ANALYSIS The Commercial Complex with architectural complexities is analyzed for all the conditions including Earthquakeload by STAAD Pro. The building chosen was 52.5 m in height above ground level. To study the effect of various loads invarious Earthquake zone the building was modeled as per plan and the plan was remodified in two different ways so thattotal number of cases are three namely:Case 1 : Commercial Complex with 7m Height Shear Wall at Basement.Case 2 : Commercial Complex with Soft Storey at Basement & at every fourth floorCase 3 : Commercial Complex with Floating Column at Various Levels. 55
  2. 2. Inter-Relationship between Moment Values of Columns in a Building with… Fig. 1 Typical Plan of Commercial Complex (Columns Refer to All Floors) III. LOAD COMBINATIONFollowing load combinations are considered in analysis of the building.1. 1.5DL +1.5LL2. 1.5DL +1.5EQX3. 1.5DL -1.5EQX4. 1.5DL +1.5EQZ5. 1.5DL -1.5EQZ6. 1.2DL +1.2LL+ 1.2EQX7. 1.2DL +1.2LL -1.2EQX8. 1.2DL +1.2LL+ 1.2EQZ9. 1.2DL +1.2LL -1.2EQZ10. 0.9DL +1.5EQX11. 0.9DL -1.5EQX12. 0.9DL +1.5EQZ13. 0.9DL -1.5EQZCritical load combinations for Mx & Mz Values are found to be1. 1.5DL -1.5EQZ2. 1.5DL -1.5EQX IV. ANALYSIS OF DATA GENERATEDThe STAAD output generated is analyzed to determine relations between various parameters and develop mathematicalmodels. Relations developed are given below.1 Relation between Mx Values of Zone II with other Zone values for all Cases2 Relation between Mz Values of Zone II with other Zone values for all Cases3 Relation between Mx values of case1 with Mx values of other cases4 Relation between Mz values of case1 with Mz values of other cases V. OBSERVATIONSThe following observations are made from the mathematical models developed. Model 1: Mx Values of column for Zone II with other zone values for case 1 Zone Model R2 value Observation 5-10% III y = -3E-05x2 + 1.627x - 3.027 0.989 10-15% From >15% 258 Results 2 IV y = -6E-05x + 2.464x + 23.25 0.992 20 60 V y = 3.716x + 44.29 0.988 20 0 15 Model 2: Mx Values of column for Zone II with other zone values for case 2 40 Zone Model R2 value Observation 35 III y = -3E-05x2 + 1.628x + 9.510 0.997 10 5-10% From 258 Results IV y = -6E-05x2 + 2.464x + 23.25 0.992 10-15% >15% V y = 3.716x + 44.29 0.988 0 0 20 60 56 20 0 15 40 35 10
  3. 3. Inter-Relationship between Moment Values of Columns in a Building with… Model 3: Mx Values of column for Zone II with other zone values for case 3Zone Model R2 value Observation III 2 y = -5E-05x + 1.657x - 15.51 0.986 5-10% IV 2 y = -6E-05x + 2.464x + 23.25 0.992 From10-15% 258 Results >15% V y = -0.000x2 + 3.716x + 44.29 0.988 20 5 Model 4: Mz Values of column for Zone II with other zone values for case 1 30Zone Model R2 value 20 Observation III 2 y = -3E-05x + 1.636x - 4.795 0.997 45 IV 2 y = -6E-05x + 2.464x + 23.25 0.992 5 From 5-10% 258 Results 10 10-15% V y = 3.716x + 44.29 0.988 35 25 >15% 50 30 10 Model 5: Mz Values of column for Zone II with other zone values for case 2Zone Model R2 value 15 Observation 2 45 III y = -2E-05x + 1.625x - 1.494 0.997 30 IV y = -6E-05x2 + 2.464x + 23.25 0.992 5 From 5-10% 258 Results 10-15% V y = 3.716x + 44.29 0.988 20 >15% 45 15 20 25 Model 6: Mz Values of column for Zone II with other zone values for case 3Zone Model R2 value 40 Observation 2 5 III y = -3E-05x + 1.643x - 8.990 0.997 15 5-10% From 258 Results IV y = -6E-05x2 + 2.464x + 23.25 0.992 35 10-15% V y = 3.716x + 44.29 0.988 45 >15% 20 25 Model 7: Mx values of case 1 with Mx values of case 3 5Case Model 2 R value 30 Observation 10Case 3 y = -9E-06x2 + 0.998x + 9.697 0.992 From 1032 Results 55 5-10% 0 10-15% Model 8: Mz values of case 1 with Mz values of case 3 30 >15%Case Model R2 value 10 Observation 2 60Case 3 y = 1E-05x + 0.943x - 7.975 0.995 From 1032 Results 5-10% 10-15% Mx Values for Zone II Vs other Zone values- Case 1 >15% 7000.00 y = -3E-05x 2 + 1.627x - 3.027 R² = 0.989 6000.00 y = -6E-05x 2 + 2.464x + 23.25 R² = 0.992 5000.00 y = -0.000x 2 + 3.716x + 44.29 other Zone values 4000.00 R² = 0.988 3000.00 2000.00 1000.00 0.00 0.00 200.00 400.00 600.00 800.00 1000.00 1200.00 1400.00 1600.00 1800.00 -1000.00 Mx for Zone II Zone 3 Zone 4 Zone 5 Poly. (Zone 3) Poly. (Zone 4) Poly. (Zone 5) Fig. 2 Mx Values for Zone II Vs other Zone values- Case 2 10000 y = -3E-05x 2 + 1.628x + 9.510 9000 R² = 0.997 y = -6E-05x 2 + 2.464x + 23.25 8000 R² = 0.992 7000 y = -0.000x 2 + 3.716x + 44.29 other Zone values R² = 0.988 6000 5000 4000 3000 2000 1000 0 0 500 1000 1500 2000 2500 3000 Mx for Zone II Zone 3 Zone 4 Zone 5 Poly. (Zone 3) Poly. (Zone 4) Poly. (Zone 5) Fig. 3 57
  4. 4. Inter-Relationship between Moment Values of Columns in a Building with… Mx Values for Zone II Vs other Zone values- Case 3 6000 y = -5E-05x 2 + 1.657x - 15.51 R² = 0.986 5000 y = -6E-05x2 + 2.464x + 23.25 R² = 0.992 4000 y = -0.000x 2 + 3.716x + 44.29 R² = 0.988 other Zone values 3000 2000 1000 0 0 200 400 600 800 1000 1200 1400 1600 1800 -1000 Mx for Zone II Zone 3 Zone 4 Zone 5 Poly. (Zone 3) Poly. (Zone 4) Poly. (Zone 5) Fig. 4 Mz Values for Zone II Vs other Zone values- Case 1 9000 y = -3E-05x 2 + 1.636x - 4.795 8000 R² = 0.997 y = -6E-05x 2 + 2.464x + 23.25 7000 R² = 0.992 6000 y = -0.000x 2 + 3.716x + 44.29other Zone values R² = 0.988 5000 4000 3000 2000 1000 0 -1000 0 500 1000 1500 2000 2500 Mx for Zone II Zone 3 Zone 4 Zone 5 Poly. (Zone 3) Poly. (Zone 4) Poly. (Zone 5) Fig. 5 Mz Values for Zone II Vs other Zone values- Case 2 9000 y = -2E-05x 2 + 1.625x - 1.494 R² = 0.997 8000 y = -6E-05x 2 + 2.464x + 23.25 7000 R² = 0.992 6000 y = -0.000x2 + 3.716x + 44.29 other Zone values R² = 0.988 5000 4000 3000 2000 1000 0 -1000 0 500 1000 1500 2000 2500 Mx for Zone II Zone 3 Zone 4 Zone 5 Poly. (Zone 3) Poly. (Zone 4) Poly. (Zone 5) Fig. 6 Mz Values for Zone II Vs other Zone values- Case 3 9000 y = -3E-05x2 + 1.643x - 8.990 R² = 0.997 8000 y = -6E-05x2 + 2.464x + 23.25 7000 R² = 0.992 6000 y = -0.000x 2 + 3.716x + 44.29 other Zone values R² = 0.988 5000 4000 3000 2000 1000 0 -1000 0 500 1000 1500 2000 2500 3000 Mx for Zone II Zone 3 Zone 4 Zone 5 Poly. (Zone 3) Poly. (Zone 4) Poly. (Zone 5) Fig. 7 58
  5. 5. Inter-Relationship between Moment Values of Columns in a Building with… Comparison of Mx Values of Case 1 With Case 3 6000 5000 y = -9E-06x 2 + 0.998x + 9.697 R² = 0.992 4000 Mx Values of case 3 3000 2000 1000 0 0 1000 2000 3000 4000 5000 6000 Mx Values of Case 1 Case 3 Poly. (Case 3) Fig. 8 Comparison of Mz Values of Case 1 With Case 3 9000 8000 7000 y = 1E-05x 2 + 0.943x - 7.975 R² = 0.995 6000 Mx Values of case 3 5000 4000 3000 2000 1000 0 0 1000 2000 3000 4000 5000 6000 7000 8000 9000 -1000 Mx Values of Case 1 Case 3 Poly. (Case 3) Fig. 9 VI. CONCLUSION 1. In all cases considered values of Mx and Mz is found to be increase significantly in higher earthquake zones as compared to lower zones. 2. The values of Mx increases more than twice in case 2 as compared to case 1. But in case 3 Mx and Mz values are found to be reducing as compared to case 1. 3. In case 2, Mx & Mz values are increasing or decreasing significantly depending upon position and orientation of column. 4. Significant co relationship is observed in between Mx & Mz values of zone II with other zone values for respective cases. 5. Significant co relationship is observed in between Mx & Mz values of Case1 with other cases value. 6. The mathematical models developed can be used for rough estimation of Mx or Mz values, if values for one zone with one of the cases are known. REFERENCES[1]. Jaswant N. Arlekar, Sudhir K. Jain and C.V.R. Murty, (1997), Seismic Response of RC Frame Buildings with Soft First Storey, Proceedings of the CBRI Golden Jubilee Conference on Natural Hazards in Urban Habitat, New Delhi.[2]. Devesh P. Soni and Bharat B. Mistry , (December 2006),Qualitative Review of Seismic Response of Vertically Irregular Building Frames, ISET Journal of Earthquake Technology, Technical Note, Vol. 43, No. 4, pp. 121-132.[3]. P Mukhopadhyay, (April 2007), Performance of Buildings during Earthquake Configurational Aspects, IE(I) Journal, Volume 88,pp. 13-17.[4]. Sudhir K. Jain and C.V.R. Murty, (2000), Beneficial Influence of masonry Infill Walls on Seismic Performance of RC Frame Buildings, 12 WCEE 59

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