India is a developing country and a lot of companies are starting their business day by day. India is also working on the self-reliant model so there is a need of office areas, living area for the industry. High-rise buildings are the best plan for providing the space under a same roof. Diagrid structures are the new advancement in the history of high-rise building. Diagrid structures are known for their architectural appearance and its skyrocketing height. As it is a new technique it is still in developing stage. So, the new techniques or methods are still in its way to make a change in diagrid structures. Therefore, this study is dedicated to find out the best optimal angle for varying diagrid angles with varying diagrid modules. In total five models are prepared and designed, analysed and modelled with the help of ETABS. The models are analysed for maximum storey displacement, storey drift, storey shear and material consumption.
Introduction
I. INTRODUCTION
Diagrid is the external or exoskeleton of the structure which excludes the vertical columns and instead of that inclined columns are used known as diagonal columns or diagrid. Diagrid structures generally consists of vertical core made up of concrete nowadays prestressed concrete is generally used for the making the core part of the diagrid structures. The vertical core plays an important part in carrying and transferring the loads which acts on the structures it carries the gravity load coming over it while the diagrid part of the structure carries the lateral as well as gravity load. Even though diagrid structures were designed in 1896 the actual implementation of these diagrid structures started from the early 2000’s., example Swiss Re (2004), London, the Hearst Magazine Tower (2006) New York City and the Mode Gakuen Cocoon Tower (2008) Tokyo [1]. Diagrid structures carries the lateral as well as axial loading due to its joint connection as these structures have triangular formation of joints which helps in carrying the loads easily. The load is easily carried by the diagonals of structures and strength and stiffness parameters of the structures is met. As the vertical columns are not used in the building the structure obtained has more space and looks elegant to see as the aesthetic appearance of building is improved.
II. ADOPTED METHODOLOGY
Conventional buildings are heavier and is difficult to build upto this height so the new techniques are introduced and is known as diagrid structure. So, in this study the diagrid structure is designed, modelled and analyzed. Various studies are already done on finding the optimum angle of diagrid structure whereas in this study the parametric study is done to find out the optimum varying diagrid angle for varying diagrid modules. In this study the suitable or optimum angle is to be find out which will provide suitable strength and stiffness to the structure. To find out this optimum angle the analysis software is used to analyze, design and model the structure.
III. EXPERIMENTAL PROCEDURE
A. About Software
The software which is used to analyze, designing and to model the structure is Extended Three-Dimensional Analysis of Building System (ETabs) v20. ETabs evaluates basic or advanced systems under static and dynamic conditions. It is the most used software by the structural engineers to analyze and design software for structural and earthquake engineering.
B. Geometrical Data and Loading Conditions According to IS Code
Before designing the structure some of the data is to be assumed. The various data which is assumed is listed below: -
Shape- Circular
Diameter of structure- 120m
Diameter of core- 40m
Thickness of core- 0.5m
Storey height- 4m
Number of floors- 120
Slab thickness- 0.2m
Characteristics strength of concrete- 50N/mm2
Characteristics strength of steel- 500N/mm2
As the building is high rise building the effect of the wind load is important. So, the dynamic wind loading is computed as per IS: 875 (Part 3)-2015.
a. Assuming location- Mumbai
b. Wind speed- 50m/s
c. Terrain category- 3
d. Risk coefficient- 1.08
e. Topography factor- 1
Next most important load which is considered in the construction of the high-rise building is earthquake loading. Seismic loading is computed as per IS: 1893(Part 1).
Zone factor- 0.16
Soil type- III
Importance factor- 1.5
Response reduction- 5
IV. DESIGN AND PARAMETRIC STUDY
The structure is designed using ETabs with the help of various IS codes. The various load combinations which are considered while designing the structure as per IS 456:2000 is: -
1.5(D. L+L.L)
1.2(D. L+L.L+W. Lx) (X-DIRECTION)
1.2(D. L+L.L+W. Ly) (Y-DIRECTION)
1.2(D. L+L.L-W. Lx) (X-DIRECTION)
1.2(D. L+L.L-W. Ly) (Y-DIRECTION)
1.2(D. L+L.L+E. Lx) (X-DIRECTION)
1.2(D. L+L.L+E. Ly) (Y-DIRECTION)
1.2(D. L+L.L-E. Lx) (X-DIRECTION)
1.2(D. L+L.L-E. Ly) (Y-DIRECTION)
After having the load combinations, the variation in diagrid modules is done which is same for the all models. The variation done in diagrid module is shown below: -
As the variation in module is same for all the models, the variation in diagrid angle is done by changing the base width and grid angles in circular plan. The angle varied for different models are (84° to 62° in Model A), (81° to 51° in Model B), (80° to 48° in Model C) (78° to 43° in Model D), (75° to 37° in Model E) for a varying diagrid module of 15 storeys, 14 storeys and so on to 3 storey modules.
V. RESULT
The models are analyzed for Maximum Storey Displacement, Storey Drift, Storey Shear and Material consumption.
According to IS Code 456:2000 clause: 20.5 the maximum top storey displacement due to wind load should not exceed H/500 where H= total height of the building.
So, the permissible maximum storey displacement (480/500) = 0.960m or 960mm.
Conclusion
1) By reviewing the results, it is clear that the varying diagrid angles of Model C gives us the best result other than any Model.
2) From all the models designed above, only Model B, Model C and Model D satisfy the maximum storey displacement. All these models have value within permissible limit as per IS code 456.
3) All the models satisfy the permissible limit of storey drift as per IS code 1893.
4) After analyzing the results, it is seen that grid angle plays an important role in the construction of the circular building in Etabs.
5) As the diagrid columns are in outer periphery, the diagrid structure is very much effective in carrying lateral load. Due to this vertical core placed in the center carries only gravity load.
6) The optimal angle of the diagrid increases with the increase in the height of the structure.
References
[1] T.M. Boake, “The Emergence of the Diagrid - It’s All About the Node,” International Journal of High-Rise Buildings, vol. 5, no. 4, pp. 293–304, Dec. 2016, doi: 10.21022/IJHRB.2016.5.4.293.
[2] T. M. Boake, “De-mystifying Diagrids: Expressive Structural System for Skyscrapers,” Structural Engineering International, vol. 26, no. 3, pp. 225–234, Aug. 2016, doi: 10.2749/101686616X14555428759163.
[3] Wikipedia contributors, “I-beam,” wikipedia. Wikipedia, The Free Encyclopedia., 2022. Accessed: Sep. 24, 2022. [Online]. Available: https://en.wikipedia.org/w/index.php?title=I-beam&oldid=1109354967.
[4] Mirniazmandan et al., “Mutual effect of geometric modifications and diagrid structure on structural optimization of tall buildings,” Archit Sci Rev, vol. 61, pp. 371–383, 2018.
[5] J. Schofield, “Case Study: Capital Gate, Abu Dhabi ,” CTBUH Journal, no. II, pp. 13–17, 2012.
[6] f. william Baker and j. james Pawlikowski, “Higher and Higher: The Evolution of the Buttressed Core,” civil engineering magazine archive, pp. 58–65, 2012.
[7] H. Tanaka, Y. Tamura, K. Ohtake, M. Nakai, Y. C. Kim, and E. K. Bandi, “Aerodynamic and Flow Characteristics of Tall Buildings with Various Unconventional Configurations,” International Journal of High-Rise Buildings, vol. 2, no. 3, pp. 213–228, Sep. 2013.
[8] A. Nelson, “Tapering Begins As 111 West 57th Street Reaches For 1,428-Foot Pinnacle,” New York YIMBY, Apr. 2018.
[9] H. M. Ahmad, R. D. Ossen, and S. C. Ling, “The Effect of Geometric Shape and Building Orientation on Minimising Solar Insolation on High-Rise Buildings in Hot Humid Climate,” Journal of Construction in Developing Countries, vol. 12, no. 1, pp. 27–38, 2007.
[10] K. S. Moon, “Optimal Grid Geometry of Diagrid Structures for Tall Buildings,” Archit Sci Rev, vol. 51, no. 3, pp. 239–251, Sep. 2008, doi: 10.3763/asre.2008.5129.
[11] H.-I. Kim and S. Shin, “A Study on Innovation in Technology and Design Variation for Super Tall Buildings,” Journal of Asian Architecture and Building Engineering, vol. 10, no. 1, pp. 61–68, May 2011.
[12] N. b. Panchal, V. R. Patel, and I. I. Pandya, “Optimum Angle of Diagrid Structural System,” International Journal of Engineering And Technical Research, vol. 2, no. 6, pp. 150–157, Jun. 2014.
[13] D. R and R. M. Megadi, “Analysis Of Curved Perimeter Diagrid Lateral System,” International Journal of Engineering Research & Technology, vol. 3, no. 6, pp. 793–796, Jun. 2014.
[14] AR. M. Shroti, “Constructablity of Diagrid Structures,” International Journal of Engineering Research & Technology (IJERT), vol. 6, no. 05, pp. 135–139, May 2017.
[15] R. Sorathiya and Prof. P. Pandey, “STUDY ON DIAGRID STRUCTURE OF MULTISTOREY BUILDING,” International Journal of Advance Engineering and Research Development, vol. 4, no. 4, pp. 512–524, Apr. 2017.
[16] D. Joshi, A. Khatadia, S. Tare, S. Mane, D. Sawant, and N. Gaikwad, “Diagrid Structure,” International Journal of Recent Advances in Engineering & Technology (IJRAET), vol. 5, no. 2, pp. 9–11, 2017.
[17] G. M. Montuori, M. Fadda, G. Perrella, and E. Mele, “Hexagrid - hexagonal tube structures for tall buildings: patterns, modeling, and design,” The Structural Design of Tall and Special Buildings, vol. 24, no. 15, pp. 912–940, Oct. 2015, doi: 10.1002/tal.1218.
[18] G. Angelucci and F. Mollaioli, “Diagrid structural systems for tall buildings: Changing pattern configuration through topological assessments,” The Structural Design of Tall and Special Buildings, vol. 26, no. 18, p. e1396, Dec. 2017, doi: 10.1002/tal.1396.
[19] S. R. Razavi and Y. Zeng, “Performance Based Design,” Journal of Integrated Design and Process Science, vol. 22, no. 3, pp. 1–2, Nov. 2018, doi: 10.3233/JID180017.
[20] E. Mele, M. Imbimbo, and V. Tomei, “The Effect of Slenderness on the Design of Diagrid Structures,” International Journal of High-RIse Buildings, vol. 8, no. 2, pp. 83–94, Jun. 2019.
[21] A. Rahimian, “Stability of Diagrid Structures,” International Journal of High-Rise Buildings, vol. 5, no. 4, pp. 263–270, Dec. 2016, doi: 10.21022/IJHRB.2016.5.4.263.
[22] D. Scaramozzino, G. Lacidogna, and A. Carpinteri, “New Trends Towards Enhanced Structural Efficiency and Aesthetic Potential in Tall Buildings: The Case of Diagrids,” Applied Sciences, vol. 10, no. 11, p. 3917, Jun. 2020, doi: 10.3390/app10113917.
[23] S. R. Takle, Prof. A. S. Patil, and Prof. B. v. Mahajan, “Dynamic Analysis of Diagrid Structural System in High Rise RCC Buildings with Varying Geometry,” International Journal of Engineering Research & Technology (IJERT), vol. 9, no. 12, pp. 336–342, Dec. 2020.
[24] A. Gupta and S. M. Gupta, “Structural Development of Skyscrapers,” International Journal of Engineering Research & Technology, vol. 10, no. 09, pp. 182–186, Sep. 2021.