Finite Element Design and Analysis of Roof Water Tank Beams
Abstract
The structural reliability of roof-mounted water tanks depends strongly on the performance of reinforced concrete beams supporting the tank walls and floor. This paper presents the design and finite element analysis (FEA) of beams in a reinforced concrete roof water tank. The tank was modeled in ETABS software with consideration of dead loads, live loads, hydrostatic pressure, and wind loads in accordance with Vietnamese standards. Internal forces were determined through load combinations, and reinforcement design was performed based on bending moment and shear envelope diagrams. Both longitudinal and transverse reinforcements were optimized and verified for strength, serviceability, and detailing requirements. Results demonstrate that the finite element approach provides accurate predictions of bending moments, shear forces, and reinforcement demand, ensuring structural safety and efficient material use in roof water tank construction.
References
TCVN 5574:2018. Design of Concrete and Reinforced Concrete Structures. Ministry of Construction, Vietnam.
Computers and Structures, Inc. ETABS Integrated Analysis and Design Software. CSI, Berkeley, CA.
Zienkiewicz, O.C., Taylor, R.L. (2000). The Finite Element Method: Solid Mechanics. Butterworth-Heinemann.
EN 1992-1-1 (2004). Eurocode 2: Design of Concrete Structures. European Committee for Standardization.
CSI. (2020). SAFE - Slab Analysis and Design Software. Computers and Structures, Inc., Berkeley, CA.
EN 1990. (2002). Eurocode: Basis of structural design. European Committee for Standardization.
Nguyen, H.D. XFEM Simulation of Functionally Graded Plates with Arbitrary Openings. VNUHCM Journal of Science and Technology Development 2025, 27, 12085
Nguyen, H.D, Extended Finite Element Approach for Simulating Arbitrary Openings in Functionally Graded Plates Int. J. Mech. Energy Eng. Appl. Sci. Volume 3, Issue No 3 (2025)
Nguyen, H.-D.; Huang, S.-C. Extend Finite Element Method for A Plate with Two Holes and Multiple Cracks. In Proceedings of the Taiwan International Conference on Ocean Governance, Kaohsiung, China, 23 September 2021.
Nguyen, H.-D.; Huang, S.-C. Extended Finite Element Method for Modeling Arbitrary Discontinuities with Center Edge Crack in Finite Dimensional Plate under Tension and Shear. In Proceedings of the International Conference on Advanced Technology Innovation, Okinawa, Japan, 1 September 2020.
Nguyen, H.-D.; Huang, S.-C. Use of XTFEM based on the consecutive interpolation procedure of quadrilateral element to calculate J-integral and SIFs of an FGM plate. Theor. Appl. Fract. Mech. 2023, 127, 103985.
Nguyen, H.-D. Using Finite Element Method to Calculate Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate Based on Energy Methods. Int. J. Mech. Energy Eng. Appl. Sci. Volume 3, Issue No 2(2025)
Bai, X.; Guo, L.; Wang, Z.; Zhong, S. A dynamic piecewise-exponential model for transient crack problems of functionally graded materials with arbitrary mechanical properties. Theor. Appl. Fract. Mech. 2013, 66, 41–61.
Nguyen, H.D. Using the eXtended Finite Element Method (XFEM) to Simulate Own Frequency under External Influences of a Closed System based on Dynamic Compensation Method. J. Int. Multidiscip. Res. 2025, 27, 985
Ding, S.; Li, X. The fracture analysis of an arbitrarily orientated crack in the functionally graded material under in-plane impact loading. Theor. Appl. Fract. Mech. 2013, 66, 26–32.
Nguyen, H.-D.; Huang, S.-C. Using the Extended Finite Element Method to Integrate the Level-Set Method to Simulate the Stress Concentration Factor at the Circular Holes Near the Material Boundary of a Functionally-Graded Material Plate. J. Mater.Res. Technol. 2022, 21, 4658–4673.
Praveen, G. N., & Reddy, J. N. Stress analysis of functionally graded plates using the first-order shear deformation theory. Composite Structures. 1998, 43, 333-349.
Erdogan, F., & Kaya, A. C. A new boundary element method for elastostatic problems with arbitrary internal cracks. ournal of Applied Mechanics. 1985, 52, 1
I. S. Raju, “Calculation of strain-energy release rates with higher order and singular finite elements,” Engineering Fracture Mechanics, vol. 28, no. 3, pp. 251-266, 1987.
J. H. Kim and G. H. Paulino, “Finite element evaluation of mixed-mode stress intensity factors in functionally graded materials,” International Journal for Numerical Methods in Engineering, vol. 53, no. 8, pp. 1903-1935, 2002.
Nguyen, H.-D.; Huang, S.-C. Designing and Calculating the Nonlinear Elastic Characteristic of Longitudinal–Transverse Transducers of an UltrasonicMedical Instrument Based on the Method of Successive Loadings. Materials 2022, 15, 4002.
Nguyen, H.-D. Extended Finite Element Approach for Simulating Arbitrary Openings in Functionally Graded Plates. Int. J.Mech. Energy Eng. Appl. Sci. 2025, 17, 885.
Nguyen, H.D. Application of the Extended Finite Element Method (X-FEM) for Simulating Random Holes in Functionally Graded Plates,” International Journal of All Research Writing, Volume-6 Issue-12, 2025.
Dai, M.-J.; Xie, M.-Y. A novel inverse extended finite element method for structural health monitoring of cracked structures. Ocean. Eng. 2025, 325, 120786.
G.R. Irwin, J.M. Krafft, P.C. Paris, and A.A. Wells, “Basic Concepts of Crack Growth and Fracture,” NRL Report 6598, Naval Research Laboratory, Washington, DC, (November 21, 1967).
Bayesteh, H.; Mohammadi, S. FEM fracture analysis of orthotropic functionally graded materials. Compos. Part B 2013,44, 8–25.
Nguyen, H.-D.; Huang, S.-C. Calculating Strain Energy Release Rate, Stress Intensity Factor and Crack Propagation of an FGM Plate by Finite Element Method Based on Energy Methods. Materials 2025, 67, 8885.
Singh, I.V.; Mishra, B.K.; Bhattacharya, S. FEM simulation of cracks, holes and inclusions in functionally graded materials.Int.J. Mech. Mater. Des. 2011, 7, 199–218.
Nguyen, H.-D. Analysis for Stress Concentration Factor at the Circular Holes Near Materials Border by Extended Finite Element Method. In Proceedings of the 4th International Online Conference on Materials, Online, 3–5 November 2025.
Nguyen, H.-D.; Huang, S.-C. The Uniaxial Stress Strain Relationship of Hyperelastic Material Models of Rubber Cracks in
the Platens of Papermaking Machines Based on Nonlinear Strain and Stress Measurements with the Finite Element Method. Materials 2021, 14, 7534.
Nguyen, H.-D. Using Matlab to Study of the Response of the System to Oscillatory Influences be an Oscillatory Effect on the Resting Antenna. Int. J. Multidiscip. Res. Growth Eval. 2025, 27, 885
Nguyen, H.-D. Finite Element and Fictitious Component Methods for Solving the Poisson Equation in a Rectangular Domain, Mining Industry Journal, 2025
Nguyen, H.-D. Finite Element Method for Stress Analysis of an Infinite Plate with an Elliptical Hole Using Functionally Graded Materials, Journal of International Multidisciplinary Research, 2025
Nguyen, H.-D. XFEM Simulation of Functionally Graded Plates with Arbitrary Openings, VNUHCM Science & Technology Development Journal, 2025
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