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Comparative Analysis and Design of Flat and Grid Slab System with Conventional Slab System
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Comparative Analysis and Design of Flat and Grid Slab System with Conventional Slab System
1.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2314 Comparative Analysis and Design of Flat and Grid Slab System With Conventional Slab System Sudhir Singh Bhaduria1, Nitin Chhugani2 1Professor, Department of Civil Engineering, UIT-RGPV, Bhopal 2PG Scholar, Department of Civil Engineering, UIT-RGPV, Bhopal -------------------------------------------------------------------------***----------------------------------------------------------------------- Abstract – Structural Engineering is a branch of Civil Engineering where the study is done to know how the structure behave when building is constructed at real environment and to identify the various forces like axial force and shear force, bending moment and displacement etc. acting on the structure. When the analysis come to complex structure or multi- story structure the manual calculation will be difficult to perform and hence there is various software available to perform these calculations, this software are STAAD Pro V8i, ANSYS, ETAB, SAP-2000 etc. In the present study, “Comparative analysis and design of flat slab and grid slab system with conventional slab system” comparison of parameter like quantity of concrete, quantity of steel, cost of the structure, bending moment, shear force and displacement of flat slab system and grid slab system with conventional slab system. In this study, slab system design and analysis for G+10 building for seismic zone III and having medium soil condition by using STAAD Pro V8i and these slab system analyzed for different plan area or grid size/ spacing of the column. The analysis and design of slab system is done as per IS 456-2000 and IS 1983-2002. Design of the slab system is done for different spacing/ grid size of column to find out which grid size of the column or plan area which slab is economical. Keywords- Structure Design and Analysis of slab system, Flat Slab System, Grid Slab System, Conventional Slab System, STAAD Pro V8i. 1. Introduction The flat slab arrangement of structure is one in which the beam is used in the conventional procedures of construction through away with the directly rests on column as well as the load from the slabs is directly conveyed to the columns and then to the footing. Drops or columns are generally provided using column heads or capitals. Floor systems consisting of flat slabs are very famous in countries where cast-in place building is prime form of construction because of numerous advantages in terms of architectural flexibility, use of space, easier formwork, and shorter creation time. Flat slabs are being used chiefly in office buildings due to reduced formwork cost, fast excavation, and easy establishment. That's why it's crucial to think what you're getting into (or under) so you can maximize the comeback on your investment. Grid floor systems comprising of beams move apart at regular intervals in perpendicular directions, monolithic with slab. 1.1. Types of Structure Slabs are plate elements creating floor and roofs of building in addition to carrying loads primarily by flexure. Inclined slabs may be used as ramps for multi-story car parks. A staircase can be considered be an inclined slab. A slab may be decorated by beams or walls and may utilize as the flanges of a Tor L-beam. Besides, a slab may be simply supported or continuous over one more supports and is categorized according to the mode of support: a) One way slabs spanning in one direction b) Two way slabs spanning in two directions c) Flat slabs sleeping directly on columns with no beams and d) Grid floor with ribbed slabs. One way slab are those held continuously on the two reverse sides so that the loads are supported along one direction only. The route in which the load is carried in one way slabs is called the span. It may be in the long or short direction. One way slab are frequently made to span in the shorter direction since the analogical bending moments and shear forces are the minimum. The main reinforcement is placed the span direction. Steel is also placed in the transverse direction, to divide any unevenness that may arise in loading and for temperature and shrinkage effects in that path. This steel is called distribution steel or secondary reinforcement placed it usually the minimum specified by the code. The secondary reinforcement is placed usually the minimum stated by the code for such reinforcement. Two way slab are those slabs that are held continuously on all four sides and also of such dimension that the loads are transfer to supports along both directions.
2.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2315 Flat slab are those multi span slabs which relaxed on column without beams. Flat slab is demarcated as one sided or two- sided support arrangement with shear load of the slab being concentrated on the supporting columns and a square slab called 'drop panels Grid floor systems comprising of beams spaced at regular intervals in at right angles directions, monolithic with slab. 1.2. Objective The following are the objective of the present study: 1) To design various form of slab system for example conventional slab, flat slab and grid slab for the given plan area and their comparative study. 2) To study comparative costing of various types of slab system. 2. Literature Review Amit A. Sathwane studied that the among flat slab , flat slab with drop and grid slab which is economical for the nexus point opposite to vidhan bhavan and beside NMC office. The analysis of flat slab, flat slab without drop and grid slab done both manually by IS 456-2000 and by STAAD PRO V8i. It is found in the study that flat slab with drop is economical then rest of other considered slab for the nexus point. It is also revealed in the study that concrete required for grid slab is more than the flat slab with and without drop and steel required for the flat slab without drop is more than the flat slab with drop and grid slab. Navjot Kaur Bhatia (June 2016) studied that dynamic performance of flat slab and grid slab in compare to conventional slab. In the study of the project the writer perform the dynamic analysis for seismic and wind forces of multistory reinforced concrete building with different plan like square, hexagonal, orthogonal for flat slab , grid slab and conventional slab. The above analysis done for different story like 10, 20 and 30 and also for the different earthquake zone as per the Indian standard code of practice is 1893 – 2002. They made the relation between earthquake responses and intensities. It is revealed from the study that the performance and structural behavior of flat slab & grid slab is superior in compare to conventional slab. It is show in term of deflection and cost of material. D. Ramya (October 2015) analyzed the multi-story (G+10) building by both STAAD PRO V8i and ETABS software. In the study comparison between these two software is done to find out which give economy of multi storied (G+10) building. It is show that in the study STAAD PRO is much simple to work with as compare to ETABS software. It is also show that quantity of steel given by the ETABS is 9.25% less than by STAAD Pro when analyzed G+10 multistory building. The quantity of concrete show by both the software’s is found same for multistory building. In the study it is revealed that the most economical section given by ETABS. K.N.Mate (June 2015) analyzed the flat slab .Flat slab system is simple structure of RCC which provide long clear space, a good height, simple formwork and no delay time in construction. It is shown that why the flat slab is more feasible and flexible in comparison to other slab. This study includes complete analysis and design of flat slab as per Indian code of practices IS456:2000. Flat slab is more flexible and economical as compare to conventional slab. This paper guide us how to select drop, panel width, thickness of slab and detailing of reinforcement. 3. Methodology and Problem Formulation 3.1. Modelling of building frames A RCC structure is primarily composed of beams, columns, slabs and foundation and this whole system behave as a one unit and transfer load finally to the footing. Normally the flow of load in the building is from slab to beam, beam to column and finally to footing. In the current study we have taken different type of floors for different grid size and for this purpose we have utilized the STAAD Pro V8i software. The different types of floors taken are conventional slab, flat slab, and grid slab having same elevation.
3.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2316 (i) Conventional (ii) Flat (iii) Grid Slab system Slab system Slab system Figure No. 1: Different type of slab system 3.2 Methodology The process of analysis and design of structure performed on STAAD–Pro V8i in accordance with IS -1893:2002 and IS- 456:2000 is shown through Flow Chart below.
4.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2317 Table 1: Building Specification Table No.2: Building Specifications for Case Number I S. NO. SPECIFICATIONS DIFFERENT TYPES OF SLAB SYSTEM Conventional Slab Flat Slab Grid Slab 1 Plan Dimension 15m X 15m 15m X 15m 15m X 15m 2 Length of Grid in x- direction 3m 3m 3m 3 Length of Grid in z- direction 3m 3m 3m 4 Floor to Floor height 3m 3m 3m 5 No. of Stories 10 10 10 6 Plinth Level 1.5m 1.5m 1.5m 7 Slab Thickness 0.125 m 0.125 m 0.125m 8 Size of Beam 0.2 m x 0.15 m - 0.2 m x 0.2 m 9 Size of Column 0.4 m x 0.4 m 0.35 m x 0.35 m 0.35m x 0.35 m 10 Size of Grid - - 0.1 m x 0.1 m 11 Spacing of Grid - - 1 m 12 Grade of Concrete M-25 M-25 M-25 13 Grade of Steel Fe-415 Fe-415 Fe-415 Table No.3: Building Specifications for Case Number II S.NO. SPECIFICATIONS DIFFERENT TYPES OF SLAB SYSTEM Conventional Slab Flat Slab Grid Slab 1 Plan Dimension 20m X 20m 20m X 20m 20m X 20m 2 Length of Grid in x- direction 4m 4m 4m 3 Length of Grid in z-direction 4m 4m 4m 4 Floor to Floor height 3m 3m 3m 5 No. of Stories 10 10 10 6 Plinth Level 1.5m 1.5m 1.5m 7 Slab Thickness 0.15 m 0.15 m 0.15 m 8 Size of Beam 0.2 m x 0.2 m - 0.25 m x 0.2 m 9 Size of Column 0.45 m x 0.45 m 0.45 m x 0.45 m 0.5 m x 0.5 m 10 Size of Grid - - 0.15 m x 0.1 m 11 Spacing of Grid - - 1 m 12 Grade of Concrete M-25 M-25 M-25 13 Grade of Steel Fe-415 Fe-415 Fe-415 S. No MATERIAL SPECIFICATION 1 Grade of Concrete, M-25 Fck = 25N/mm2 2 Grade of Steel, Fe-415 Fy = 415N/mm2 3 Density of Concrete ϒ’c = 25KN/m3 4 Cost of Steel bars Rs 45/Kg 5 Cost of Concrete Rs 4500/m3
5.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2318 Table No.4: Building Specifications for Case Number III S. NO. SPECIFICATIONS DIFFERENT TYPES OF SLAB SYSTEM Conventional Slab Flat Slab Grid Slab 1 Plan Dimension 25m x 25m 25m x 25m 25m x 25m 2 Length of Grid in x-direction 5m 5m 5m 3 Length of Grid in z-direction 5m 5m 5m 4 Floor to Floor height 3m 3m 3m 5 No. of Stories 10 10 10 6 Plinth Level 1.5m 1.5m 1.5m 7 Slab Thickness 0.175 m 0.175 m 0.175 m 8 Size of Beam 0.25 m x 0.2 m - 0.25m x 0.22m 9 Size of Column 0.63 m x 0.63 m 0.55 m x 0.55 m 0.65m x 0.65m 10 Size of Grid - - 0.15m x 0.15m 11 Spacing of Grid - - 1 m 12 Grade of Concrete M-25 M-25 M-25 13 Grade of Steel Fe-415 Fe-415 Fe-415 Table No.5: Building Specifications for Case Number IV S.NO. SPECIFICATIONS DIFFERENT TYPES OF SLAB SYSTEM Conventional Slab Flat Slab Grid Slab 1 Plan Dimension 30m X 30m 30m X 30m 30m X 30m 2 Length of Grid in x-direction 6m 6m 6m 3 Length of Grid in z-direction 6m 6m 6m 4 Floor to Floor Height 3m 3m 3m 5 No. of Stories 10 10 10 6 Plinth Level 1.5m 1.5m 1.5m 7 Slab Thickness 0.20 m 0.20 m 0.20 m 8 Size of Beam 0.3 m x 0.2 m - 0.30 m x 0.30 m 9 Size of Column 0.77 m x 0.77 m 0.64m x 0.64m 0.75 m x 0.75 m 10 Size of Grid - - 0.15 m x 0.1 m 11 Spacing of Grid - - 1 m 12 Grade of Concrete M-25 M-25 M-25 13 Grade of Steel Fe-415 Fe-415 Fe-415 Table No.6: Building Specification for Case Number V S.NO. SPECIFICATIONS DIFFERENT TYPES OF SLAB SYSTEM Conventional Slab Flat Slab Grid Slab 1 Plan Dimension 35m X 35m 35m X 35m 35m X 35m 2 Length of Grid in x-direction 7m 7m 7m 3 Length of Grid in z-direction 7m 7m 7m 4 Floor to Floor height 3m 3m 3m 5 No. of Stories 10 10 10 6 Plinth Level 1.5m 1.5m 1.5m 7 Slab Thickness 0.25 m 0.25 m 0.25 m 8 Size of Beam 0.3 m x 0.25 m - 0.35 m x 0.35 m 9 Size of Column 0.92 m x 0.92 m 0.72 m x 0.72 m 1.0 m x 1.0 m 10 Size of Ribs - - 0.20 m x 0.15 m 11 Spacing of Ribs - - 1.4 m 12 Grade of Concrete M-25 M-25 M-25 13 Grade of Steel Fe-415 Fe-415 Fe-415
6.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2319 Table No.7: Building Specifications for Case Number VI S.NO. SPECIFICATIONS DIFFERENT TYPES OF SLAB SYSTEM Conventional Slab Flat Slab Grid Slab 1 Plan Dimension 40m X 40m 40m X 40m 40m X 40m 2 Length of Grid in x-direction 8m 8m 8m 3 Length of Grid in z-direction 8m 8m 8m 4 Floor to Floor height 3m 3m 3m 5 No. of Stories 10 10 10 6 Plinth Level 1.5m 1.5m 1.5m 7 Slab Thickness 0.30 m 0.30 m 0.30 m 8 Size of Beam 0.35 m x 0.25 m - 0.40 m x 0.35 m 9 Size of Column 1.09 m x 1.09 m 0.97 m x 0.97 m 1.1 m x 1.1 m 10 Size of Ribs - - 0.2 m x 0.15 m 11 Spacing of Ribs - - 1.33 m 12 Grade of Concrete M-25 M-25 M-25 13 Grade of Steel Fe-415 Fe-415 Fe-415 3.3. Loading Condition The loads considered during design and analysis of multistoried building for grid size 3x3 having plan area 225m2 and loading calculation for other case changes as plan area changes due to change in depth of the slab. 1. Dead load : It is taken as according to IS -875 (Part 1) : 1987 a) Plate load = Density of concrete x Slab thickness = 25kn/m3 x 0.125m = 3.125kn/m2 b) Masonry load on plate = 1kn/m2 c) Floor finishing = 1.5kn/m2 Total weight of slab =5.625kn/m2 2. Live Load: It is calculated as per IS-875 (part 2) :1987 Live load on floors = 1.5kn/m2 3. Earthquake load: It is calculated as per IS-1893 (part 1): 2002 Seismic Definition Earthquake zone – III (Z=0.16) Response reduction factor – 5 Importance Factor – 1.5 (Very Important Building) Rock and Soil Site Factor-1 (Medium Soil Building) Type of Structure- 1 Damping - 5% (0.05) Soil Type: Medium soil Natural Time Period (Ta) - 0.075h0.75 (Ta = 0.73199 sec) Seismic weight of floor on working story’s = 4kn/m3 Seismic weight of top floor = 2kn/m2 4. Result and Inferences 4.1. Results 1) Quantity of Concrete: Quantity of concrete required in several type of slab with different type of grid size/ span is observed as follow in table no. 8 and figure no. 2:
7.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2320 Table No. 8: Quantity of Concrete for Conventional slab, Flat Slab and Grid Slab Concrete quantity (meter cube) Span (m) Conventional slab Flat slab Grid slab 1 2 3 240.8 138.9 251.1 4 308.8 181.4 514.5 5 508 318.5 932.9 6 910 464.5 1365.5 7 1306.3 587.9 2162 8 1809.3 1067 2771.5 Figure No.2: Quantity of Concrete for Conventional Slab, Flat Slab and Grid Slab 2) Quantity of steel: Quantity of steel required in different type of slab system with different type of grid size/ span is observed as follow in table no. 9 and figure no.3: Table No. 9: Quantity of Steel for Conventional Slab, Flat Slab and Grid Slab STEEL QUANTITY (IN KGS) Span (m) Conventional slab Flat slab Grid slab 3 25194.9 11526.2 43006.5 4 31362 17667.3 89929.2 5 55601.9 27995.6 144527.3 6 80018.1 42674.2 208414.3 7 113680.3 58831.2 281588.1 8 155064.1 86300.8 355648.1 Figure No.3: Quantity of Steel for Conventional Slab, Flat Slab and Grid Slab 0 1000 2000 3000 1 2 3 4 5 6 7 8 9 QUANTITYOF CONCRETEIN METRECUBE CLEAR SPAN IN METRE convetional slab flat slab grid slab 0 100000 200000 300000 400000 1 2 3 4 5 6 7 8 STEELWEIGHTINKG CLEAR SPAN IN METRE convetional slab flat slab grid slab
8.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2321 3) Cost of structure: The cost of structure is mainly dependent on the quantity of concrete and steel. As the quantity of concrete and steel is vary, the cost of structure is changed. The cost of structure of model with different slab system is shown in the following table no. 10 and in figure no. 4: Table No. 10: Cost of Structure for Conventional Slab, Flat Slab and Grid Slab COST OF THE STRUCTURE (RUPEES) Span (m) Conventional Slab Flat Slab Grid Slab 1 2 3 2217370.5 1143729 3065242.5 4 2800890 1611328.5 6362064 5 5270035.5 2693052 10701778.5 6 7695814.5 4010589 15523393.5 7 10993963.5 5295654 22400464.5 8 15119734.5 8685036 28475914.5 Figure No.4: Cost of Structure for Conventional Slab, Flat Slab and Grid Slab The cost of structure per meter square of model with different slab system is shown in table no. 11 and figure no.5: Table No. 11: Cost per Meter Square for Conventional Slab, Flat Slab and Grid Slab COST PER METRE SQUARE(RUPEES) Span (m) Conventional slab Flat Slab Grid Slab 1 2 3 985.498 508.324 1362.33 4 700.23 402.83 1590.52 5 843.2 430.8 1712.28 6 855.1 445.62 1724.82 7 897.47 432.3 1828.6 8 944.98 542.81 1779.74 Figure No.5: Cost per Meter Square for Conventional Slab, Flat Slab and Grid slab 0 10000000 20000000 30000000 1 2 3 4 5 6 7 8 COSTOFTHE STRUCTUREIN RUPEES(INR) CLEAR SPAN IN METRE convetional slab flat slab grid slab 0 500 1000 1500 2000 1 2 3 4 5 6 7 8 COSTOFTHE STRUCTUREIN RUPEES(INR) CLEAR SPAN IN METRE convetional slab flat slab grid slab
9.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2322 4) Maximum Displacement: 1) Maximum Displacement in X-Direction for different problem in earthquake zone III is shown in table no.12 and figure no.6. Table No. 12: Maximum Displacement (mm) in X-Direction Maximum Displacement (mm) in X Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 56.219 74.39 72.989 82.952 66.673 59.353 Flat slab 48.557 44.649 46.624 50.745 47.947 56.256 Grid slab 68.103 132.902 135.62 123.474 119.24 86.232 Figure No.6: Maximum displacement (mm) in X-Direction Table No.13: Story No. and Node No. at which Maximum Displacement in X-Direction Story No. and Node No. at which Maximum Displacement in X Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 10&397 10&427 10&397 10&397 10&397 10&397 Flat slab 10&397 10&427 10&397 10&397 10&427 10&397 Grid slab 10&517 10&2429 10&3094 10&3760 10&3094 10&4005 Here 00 story stands for plinth level or ground floor 2) Maximum Displacement in Y-Direction for different problem in earthquake zone III is shown in table no. 14 and figure no. 7. Table No.14: Maximum Displacement (mm) in Y-Direction Maximum Displacement (mm) in Y Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 0.753 1 0.811 0.835 0.768 0.744 Flat slab 0.667 0.64 0.602 0.615 0.701 0.523 Grid slab 1 1.756 1.741 1.826 2.158 1.679 0 20 40 60 80 100 120 140 160 Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
10.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2323 Figure No.7: Maximum displacement (mm) in Y-Direction Table No. 15: Story No. and Node No. at which Maximum Displacement in Y-Direction Story No. and Node No. at which Maximum Displacement in Y Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 10&409 10&421 10&403 10&403 10&421 10&403 Flat slab 10&403 10&421 10&403 10&403 10&411 10&403 Grid slab 09&1665 09&2246 03&1400 03&1637 03&1396 03&1892 3) Maximum Displacement in Y-Direction for different problem in earthquake zone III is shown in table no. 16 and figure no.8. Table No. 16: Maximum Displacement (mm) in Z-Direction Maximum Displacement (mm) in Z Direction Different types of slab system Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 56.219 74.39 72.989 82.952 66.673 59.353 Flat slab 48.557 44.649 46.624 50.745 47.947 56.256 Grid slab 68.104 133.857 135.714 123.537 119.24 86.232 Figure No.8: Maximum displacement (mm) in Z-Direction 0 0.5 1 1.5 2 2.5 Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab 0 20 40 60 80 100 120 140 160 Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
11.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2324 Table No.17: Story No. and Node No. at which Maximum Displacement in Z-Direction Story No. and Node No. at which Maximum Displacement in Z Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 10&397 10&402 10&397 10&397 10&397 10&397 Flat slab 10&397 10&402 10&397 10&397 10&402 10&397 Grid slab 10&517 10&2468 10&3146 10&3825 10&3146 10&3920 5) Maximum Force: 1) Maximum Force in X-direction for different problem in earthquake zone III are shown in table no. 18 and figure no.9. Table No. 18: Maximum Force (KN) in X-Direction Maximum Forces (KN) in X Direction Different types of slab system Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 1865.234 1571.84 6439.446 10253.367 15181.477 22496.518 Flat slab 1627.723 3168.701 5498.654 8285.55 10168.366 18869.828 Grid slab 2176.246 4372.087 7566.49 10585.092 17818.301 24305.295 Figure No.9: Maximum Force (KN) in X-Direction Table No. 19: Story No. and Node No. at which Maximum Force in X-Direction Story No. and Node No. at which Maximum Force in X Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 00&15 00&22 00&15 00&22 00&15 00&22 Flat slab 00&15 00&22 00&15 00&22 00&15 00&22 Grid slab 00&15 00&15 00&15 00&22 00&9 00&22 Here 00 story stands for plinth level or ground floor 0 5000 10000 15000 20000 25000 30000 Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
12.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2325 2) Maximum Force in Y-direction for different problem in earthquake zone III are shown in table no.20 and figure no.10. Table No. 20: Maximum Force (KN) in Y-Direction Maximum Forces (KN) in Y Direction Different types of slab system Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 43.125 88.919 177.319 316.813 485.666 751.-403 Flat slab 29.603 48.998 96.699 166.787 293.804 407.388 Grid slab 47.585 191.314 336.258 477.947 916.703 1091.633 Figure No.10: Maximum Force (KN) in Y-Direction Table No.21: Story No. and Node No. at which Maximum Force in Y-Direction Story No. and Node No. at which Maximum Force in Y Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 03&119 02&101 03&119 03&119 03&137 03&119 Flat slab 03&119 04&173 04&155 03&119 03&137 03&131 Grid slab 04&275 04&299 04&358 03&419 04&359 03&437 3) Maximum Force in Z-direction for different problem in earthquake zone III are shown in table no. 22 and figure no.11. Table No.22: Maximum Force (KN) in Z-Direction Maximum Forces (kn) in Z Direction Different types of slab system Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 43.125 88.919 177.319 316.813 485.666 751.403 Flat slab 29.603 48.998 96.699 166.787 293.804 407.388 Grid slab 45.395 194.587 336.766 474.458 917.896 1091.633 0 200 400 600 800 1000 1200 Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
13.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2326 Figure No.11: Maximum Force (KN) in Z-Direction Table No.23: Story No. and Node No. at which Maximum Force in Z-Direction Story No. and Node No. at which Maximum Force in Z Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 03&116 02&83 03&116 03&116 03&119 03&116 Flat slab 03&119 04&155 04&152 03&116 03&119 03&118 Grid slab 04&272 04&296 04&356 03&416 04&356 03&419 6) Maximum Bending Moment: 1) Maximum Bending Moment in X-direction for different problem in earthquake zone III are shown in table no.24 and figure no.12. Table No.24: Maximum Bending Moment (KN-M) in X-Direction Maximum Moment (KN-M) in X Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 0.108 0.177 1.051 3.349 6.768 14.126 Flat slab 0.047 0.073 0.287 0.848 1.431 7.845 Grid slab 2.599 9.247 19.248 25.168 47.394 49.736 Figure No.12: Maximum Bending Moment (KN-M) in X-Direction 0 200 400 600 800 1000 1200 Case no.1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab 0 10 20 30 40 50 60 Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
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International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2327 Table No.25: Story No. and Node No. at which Maximum Bending Moment in X-Direction Story No. and Node No. at which Maximum Bending Moment in X Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 03&169 10&1331 10&336 10&391 10&366 10&391 Flat slab 01&67 01&67 10&361 10&391 10&366 10&391 Grid slab 03&289 03&355 03&415 03&445 03&385 03&1927 2) Maximum Bending Moment in Y-direction for different problem in earthquake zone III are shown in table no.26 and figure no.13. Table No.26: Maximum Bending Moment (KN-M) in Y-Direction Maximum Moment (KN-M) in Y Direction Different types of slab system Case no1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 67.494 142.645 337.545 735.517 1161.793 1921.964 Flat slab 44.731 74.329 152.157 286.535 480.914 1101.54 Grid slab 70.79 325.123 681.8 1033.427 2550.399 2822.585 Figure No.13: Maximum Bending Moment (KN-M) in Y-Direction Table No.27: Story No. and Node No. at which Maximum Bending Moment in Y-Direction Story No. and Node No. at which Maximum Bending Moment in Y Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 01&62 01&235 00&27 00&27 00&22 00&21 Flat slab 04&191 04&191 01&62 01&62 01&65 00&21 Grid slab 02&218 01&236 00&20 00&21 00&20 00&22 Here 00 story stands for plinth level or ground floor 0 500 1000 1500 2000 2500 3000 Case no1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
15.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2328 3) Maximum Bending Moment in Z-direction for different problem in earthquake zone III are shown in table no.28 and figure no.14. Table No.28: Maximum Bending Moment (KN-M) in Z-Direction Maximum Moment (KN-M) in Z Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 67.494 142.645 337.545 735.517 1161.793 1921.964 Flat slab 44.731 74.329 152.157 286.535 480.914 1101.54 Grid slab 70.79 323.406 681.482 1033.787 2550.399 2822.585 Figure No.14: Maximum Bending Moment (KN-M) in Z-Direction Table No.29: Story No. and Node No. at which Maximum Bending Moment in Z-Direction Story No. and Node No. at which Maximum Bending Moment in Z-Direction Different types of slab system Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab 01&192 01&235 00&17 00&17 00&22 00&16 Flat slab 04&206 04&206 01&47 01&47 01&65 00&16 Grid slab 02&203 01&226 00&10 00&17 00&10 00&22 Here 00 story stands for plinth level or ground floor 4.2. Discussion and Inferences The analysis of slab system shows the following inferences: 1) The quantity of concrete required for grid slab multi story building is maximum and for the flat slab multi story building is minimum for the same span/ grid size. But when we talk about the conventional slab system the quantity of concrete required more than the flab slab multi story building. 2) It is also seen that the quantity of concrete is increase with increase span / grid size of the structure for the same slab system. The quantity of concrete is least for smaller span of the structure and it is most for larger span of the structure. 3) The quantity of steel required for grid slab multi story building is maximum and for the flat slab multi story building is minimum for the same span/ grid size. But when we talk about the conventional slab system the quantity of steel required more than the flat slab multi story building. 0 500 1000 1500 2000 2500 3000 Case no. 1 Case no.2 Case no.3 Case no.4 Case no.5 Case no.6 Conventional slab Flat slab Grid slab
16.
International Research Journal
of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 04 Issue: 08 | Aug -2017 www.irjet.net p-ISSN: 2395-0072 © 2017, IRJET | Impact Factor value: 5.181 | ISO 9001:2008 Certified Journal | Page 2329 4) It is also observed that the quantity of steel is increase with increase span/ grid size of the structure for the same slab system. The quantity of steel is least for smaller span of the structure and it is most for the larger span of the structure. 5) The cost of structure for flat slab multi story building is found to be least for all span / grid size of the structure and for the gird or coffered slab multi story building is found to be most for all span/ gird size of the structure. 6) The cost per meter square for all considered slab system is found to be changes with span/ grid size of the structure. In this case also cost per meter square is found to be least for flat slab system and most for grid slab system. 7) The maximum displacement is found to be most for grid slab system for same plan area of the structure and it is followed by conventional slab system and least for flat slab system in all direction of the structure. 8) The maximum force is found to be most for grid slab system and followed by conventional slab system and least for flat slab system for same plan area of the structure in all direction of the structure. It is seen in study that maximum force changes with change in plan area of the structure or found to be increase with increase span/grid size of the structure. 9) The maximum bending moment is also found to be most for grid slab system and followed by conventional slab system and least for flat slab system for same plan area of the structure in all direction of the structure. The same trend seen for maximum bending moment as that of shear force i.e. increases with the span/grid size of the structure. 5. Conclusion Considering all the above inference made on analysis of all considered slab system multi story building, we finally conclude that the flat slab is most economical for all span consider in the analysis. In flat slab system it is found from the study that maximum displacement, maximum force and maximum bending moment in x, y and z direction is minimum but in case of grid slab system maximum displacement, maximum force and maximum bending moment is found to be maximum. The quantity of steel and concrete required for flat slab system is minimum but for the grid slab system is maximum. References [1] Bhavikatti S.S, “Advance R.C.C. Design” , New Age International (p) Limited, Publishers, New Delhi, India. [2] P.C Varghese a book of advanced reinforced concrete design. [3] N KRISHNA RAJU Book of advanced reinforced concrete design”. [4] Plain & Reinforced Concrete Code of Practice” Fourth Revision IS: 456:2000. [5] IS1893-2002: Indian Standard Code of Practice for Criteria for Earthquake Resistance Design of Structures. [6] S.Ramamrutham - Design of Reinforced concrete structure. [7] K.N. Mate, Volume 4 Issue 6, June 2015 Study of Flat Slab, International journal of science and research (IJSR), pp.1106- 1110. [8] Techi Tata, Volume 03 Issue 09, Sep-2016 Study of Behaviors of Building with Flat Slab, International Research Journal of Engineering and Technology (IRJET), pp.1333-1339. [9] Mohana H.S, Volume 02 Issue 03, June-2015 Comparative Study of Flat Slab and Conventional Slab Structure Using ETABS for Different Earthquake Zones of India, International Research Journal Of Engineering and Technology (IRJET).pp.1931 – 1936. [10] Navjot Kaur Bhatia, Volume 3 May 2016 Studying the Response of Flat Slab & Grid Slabs System in Conventional RCC Buildings, International Journal of Trends in Research and Development (IJTRD), pp.335 -337.
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