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IRJET- Analysis of P-Delta Effect on High Rise Building
1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2842 ANALYSIS OF P-DELTA EFFECT ON HIGH RISE BUILDING Mohd. Arish Khan1, Dr. Mayank Varshney2, Dr. Bharat Nagar3 1Mohd. Arish Khan, M.tech Research scholar, Department of Civil Engineering, Jagannath University, Jaipur, Rajasthan. 2Dr. Mayank Varshney, Professor, Department of Civil Engineering, Jagannath Institute of Technology, Jaipur, Rajasthan 3Dr. Bharat Nagar, Professor & Head Department of Civil Engineering, Jagannath University, Jaipur, Rajasthan ------------------------------------------------------------------------***----------------------------------------------------------------------- Abstract: P-delta effect is secondary or second order effect on structure. It is also known as ‗Geometric Nonlinearity effect‘. As number of storey increases, P-delta effect becomes more important. If the change in bending moments, shear forces and displacements is more than 10%, P-delta effect should be considered in design. In this study the P-delta effect on high rise building is studied. Linear static analysis (without P-delta effect) and nonlinear static analysis (with P-delta effect) on high rise buildings having different number of storey is carried out. For the analysis G+19, G+24, G+29 (i.e. 20, 25, 30 storey) R.C.C. framed buildings are modeled. Earthquake load is applied on model of structure as per IS-1893(2002) for zone IV in ETABS-2015 software. Load combinations for analysis are set as per IS-456(2000). All analysis is carried out in software ETABS-2015. Bending moment, story displacement with and without P-delta effect is calculated and compared for all models. The results show that it is essential to consider the P-delta effect for 25 storey building. So buildings having height more than or equal to 75m, should be designed considering P-delta effect. Also we can say that up to 25 storey building, it is not necessary to consider P-delta effect in design and first order analysis is sufficient for design. Keywords: P-delta effect, high-rise building, Static nonlinear analysis, displacements, bending moments, ETABS-2015, second order effect. 1. INTRODUCTION At present, common practice of analyzing the building or any high rise built is linear elastic method. This procedure comes under first order structure analysis, wherein displacements and internal forces are calculated with respect to un-deformed structure. Sometimes the deflection of the structure is also considered for higher order analysis based on the real-time behavior of structure. This comes when nonlinearity of the structure is taken into account. Usually, iteration method is considered that is done with the help of computer programs and is considered under second order analysis. In such process, both deformations and internal forces are not in proportionality with the applicable load. Second-order effects are generally considered, wherein the additional displacements, moments, and forces are produced by the motion of the structure. All these effects are called “second-order effects. Many a time, people make use of first order analysis for working out the second order results. These comprise the additional moments, forces, and displacements that are crucial for the designing purpose. In the following research study, an analysis of the high rise structure is carried out by making use of some software. Many iterations are carried out in order to test the final outcomes of the study. 2. AIM AND OBJECTIVE OF STUDY Aim To study the impact of P-Delta effect on the high rise buildings Objectives To Study the effects of axial loadings on high rise buildings. To study the impact of axial loading on skyscrapers. To analyze G+14 story building made up of RCC without or with consideration of P-delta effects. To work out the percentage change in deflections, forces and moments while considering with or without considering P-Delta effect. 3. ANALYSIS OF HIGH RISE BUILDINGS INETABS- 2015 Plan of building:- 1) Commercial building, RCC framed structure.
2.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2843 2) Storey height is 3.04m. 3) Length of building in X-direction = 12m. 4) Length of building in Y-direction = 12m. 5) Story of building= B+G+14. FIGURE: TYPICAL FLOOR PLAN OF BUILDING FIGURE: ETABS MODEL (3D VIEW) Properties of the material considered in the design 1. Grade of Concrete: M25 Density of the concrete: 25 KN/m3 Poisson ratio: 0.2 Young Modulus Value considered: 25000 N/mm2 2. Steel Grade considered: Fe500 Density of steel: 7850 Kg/m3 Young Modulus Value considered: 2.1 X 105 N/mm2 Poisson‘s ratio: 0.3 3. Masonry material type: Brick Density considered= 20 KN/m3 Section Properties:- 1. Dimensions of Beam:0.30mX 0.45m 2. Dimensions of the Column: 0.40m X 0.40m 3. Slab: Varying section with minimum thickness of 0.15m Loads:- 1. Dead load: A. Self weight. B. Floor finish: 1.5 KN/m2 C. Wall load: Load = Height x thickness x density of masonry For 3.04m height of wall: For 230 mm thick wall, Load = 13.98 KN/m For 1.2m height of wall (Parapet wall): Load = 5 KN/m 2. Live load: A. Floor = 3 KN/m2
3.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2844 B. Roof = 2 KN/m2 3. Earthquake loads: According to IS-1893-2002, analysis for the seismic load acting on the structure is carried out. For designing of “horizontal seismic coefficient” Ah, the following considerations have been taken. EQX: X direction Earthquake load EQY: Y direction Earthquake load in Y-direction Response reduction factor = 5 Zone factor = 0.24 (as the site is in zone IV) Importance factor = 1 Soil type = Type II 4. Wind loads: Calculation of Wind load according to IS 875 (Part3) Design wind speed (Vz) can be calculated based on the formula given below “Vz = Vb×K1×K2×K3” Wherein, Vbis the basic design wind speed K1, K2, K3 can be taken from IS: 875 (part3) Pzis the Design wind pressure “Pz = 0.6 Vz2” “Risk Coefficient (k1 Factor) : 1” “Terrain Category: 3” “Wind Speed: 47 m/s” “Topography (k3 factor): 1” “Structure Class: B” LOAD CASES:- As per IS-456(2000) in which both gravity and lateral loads are included. 1) “1.2 (DL + LL + EQX)” 2) “1.2 (DL + LL – EQX)” 3) “1.2 (DL + LL + EQY)” 4) “1.2 (DL + LL -EQY)” 5) “1.5(DL + EQX)” 6) “1.5(DL - EQX)” 7) “1.5(DL + EQY)” 8) “1.5(DL - EQY)” 9) “0.9DL + 1.5EQX” 10) “0.9DL - 1.5EQX” 11) “0.9DL + 1.5EQY” 12) “0.9DL - 1.5EQY” 4. ANALYSIS RESULTS Table for Story displacement at each story
4.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 07 | July 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 2845 Table for Story displacement at each story PERCENTAGE OF DIFFRENCE OF DISPLACMENT 5. CONCLUSIONS This chapter presents the major conclusions and future scope of the p-delta effects on High Rise RC building. In this chapter, the major points and finding of the study has been highlighted. In addition to this, the future scope of the p-delta on high-rise structure has been shown. 1. From the result of ETABS, it is very much clear that axial force increases with increase in number of storey. 2. Displacements of the buildings w.r.t. earthquake load considering P-delta effects are larger while comparing with the earthquake load. 3. It was found that the displacement value of storeys is within the permissible limit. 4. This concludes P-delta effects have more effect in designing of a structure rather than linear order effects. 5. The P-Delta effects have more importance in the designing process as compared to linear order effects. 6. With the increase in number of floors, the significance of P-delta impact also increases. 7. It is quite important to compare the result of the analysis with or without considering the p-delta impact. 8. The results are valid for all the regions and seismic zones of India. 6. REFERENCES 1. Council on Tall Buildings, Committee 16, "Stability," Chapter SB-4, Vol. SB of Monograph on Planning and Design of Tall Buildings, ASCE, New York, 1979. 2. Scholl, R.E. (ed), "Effects Prediction Guidelines for Structures Subjected to Ground Motion," Report No. JAB-99-115, URS/Blume Engineers, San Francisco, 1975. 3. Scholl, R.E., "Brace Dampers: An Alternative Structural System for Improving the Earthquake Performance of Buildings," Proceedings of the 8th World Conference on Earthquake Engineering, San Francisco, Vol 5., Prentice Hall, 1984. 4. Ohta, Y., and Omote, S., "An Investigation into Human Psychology and Behavior During an Earthquake," Proceedings of the 6th World Conference on Earthquake Engineering, India, 1977. 5. Mileti, D.S., and Nigg, J.M., "Earthquakes and Human Behavior," Earthquake Spectra, EERI, Vol. 1, No. 1, Feb., 1984. 6. Durkin, M.E., "Behavior of Building Occupants in Earthquakes," Earthquake Spectra, EERI, Vol. 1, No. 2, Feb., 1985. 7. Chen, W.F., and Lui, E.M., Structural Stability, Elsevier Science Publishing Company, New York, 1987. 8. Wakabayashi, M., Design of Earthquake Resistant Buildings, MacGraw Hill, New York, 1986.
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