Bending Analysis of Steel-Concrete Composite Beams with Porosity
Received: 17 May 2023 | Revised: 26 May 2023 | Accepted: 28 May 2023 | Online: 20 June 2023
Corresponding author: Prashant Kumar
This study investigated the bending behavior of a simply supported pervious composite beam using the finite element method based on cubic order beam theory. The cubic order axial displacement was assumed and solved using shear stress-free conditions on the extreme surfaces of the composite beam. For simplicity, this study considered one-dimensional axial displacement. Three nodded finite elements were assumed, and each node had eight unknowns. Shear locking was eliminated in the present model by numerical integration of the stiffness matrix. A uniform porosity distribution was implemented in the upper layer of the composite beam. The damping ratio was also considered for the bending analysis. The accuracy of the present model makes it robust for the analysis of composite beams.
Keywords:finite element mehod, bending response, shear stress, porous concrete, shear interface
D. Mohammed and S. R. Al-Zaidee, "Deflection Reliability Analysis for Composite Steel Bridges," Engineering, Technology & Applied Science Research, vol. 12, no. 5, pp. 9155–9159, Oct. 2022.
K. Swaminathan, D. T. Naveenkumar, A. M. Zenkour, and E. Carrera, "Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review," Composite Structures, vol. 120, pp. 10–31, Feb. 2015.
A. R. Noori, T. A. Aslan, and B. Temel, "Dynamic Analysis of Functionally Graded Porous Beams Using Complementary Functions Method in the Laplace Domain," Composite Structures, vol. 256, Jan. 2021, Art. no. 113094.
M. G. Taj, A. Chakrabarti, and M. Talha, "Bending analysis of functionally graded skew sandwich plates with through-the thickness displacement variations," Journal of Sandwich Structures & Materials, vol. 16, no. 2, pp. 210–248, Mar. 2014.
H. I. Yoon, I. S. Son, and S. J. Ahn, "Free vibration analysis of Euler-Bernoulli beam with double cracks," Journal of Mechanical Science and Technology, vol. 21, no. 3, pp. 476–485, Mar. 2007.
R. Xu and Y. Wu, "Static, dynamic, and buckling analysis of partial interaction composite members using Timoshenko’s beam theory," International Journal of Mechanical Sciences, vol. 49, no. 10, pp. 1139–1155, Oct. 2007.
H. Su and J. R. Banerjee, "Development of dynamic stiffness method for free vibration of functionally graded Timoshenko beams," Computers & Structures, vol. 147, pp. 107–116, Jan. 2015.
A. Chakrabarti, A. H. Sheikh, M. Griffith, and D. J. Oehlers, "Analysis of composite beams with partial shear interactions using a higher order beam theory," Engineering Structures, vol. 36, pp. 283–291, Mar. 2012.
A. Chakrabarti, A. H. Sheikh, M. Griffith, and D. J. Oehlers, "Dynamic Response of Composite Beams with Partial Shear Interaction Using a Higher-Order Beam Theory," Journal of Structural Engineering, vol. 139, no. 1, pp. 47–56, Jan. 2013.
T. Kant and A. Gupta, "A finite element model for a higher-order shear-deformable beam theory," Journal of Sound and Vibration, vol. 125, no. 2, pp. 193–202, Sep. 1988.
U. A. Girhammar and D. Pan, "Dynamic analysis of composite members with interlayer slip," International Journal of Solids and Structures, vol. 30, no. 6, pp. 797–823, Jan. 1993.
Q.-H. Nguyen, M. Hjiaj, and P. Le Grognec, "Analytical approach for free vibration analysis of two-layer Timoshenko beams with interlayer slip," Journal of Sound and Vibration, vol. 331, no. 12, pp. 2949–2961, Jun. 2012.
M. H. Yas and M. Heshmati, "Dynamic analysis of functionally graded nanocomposite beams reinforced by randomly oriented carbon nanotube under the action of moving load," Applied Mathematical Modelling, vol. 36, no. 4, pp. 1371–1394, Apr. 2012.
A. K. Gupta and A. Kumar, "Buckling Analysis of Porous Functionally Graded Plates," Engineering, Technology & Applied Science Research, vol. 13, no. 3, pp. 10901–10905, Jun. 2023.
P. Kumar and A. Kumar, "Free Vibration Analysis of Steel-Concrete Pervious Beams," Engineering, Technology & Applied Science Research, vol. 13, no. 3, pp. 10843–10848, Jun. 2023.
X. Shen, W. Chen, Y. Wu, and R. Xu, "Dynamic analysis of partial-interaction composite beams," Composites Science and Technology, vol. 71, no. 10, pp. 1286–1294, Jul. 2011.
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