Analysis of RC Brick Filled Composite Beams using MIF

Patel, R. B.; Dubey, S. K.; Pathak, K. K.

doi:10.1016/j.proeng.2013.01.008

Cited by 15 publications

(4 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Originally MIF was used for analysis of the loads of a flat elastic medium [3]. Since then it was used for solving concrete beams, plates and composite materials problems [4,5]. A solution in the form of a power series with coefficients depending on x was assumed.…”

Section: Formulation Of Two Dimensional Temperature Problemmentioning

confidence: 99%

Heat transport solutions in rectangular shields using harmonic polynomials.

Owczarek

2019

MATEC Web Conf.

View full text Add to dashboard Cite

The search for the temperature field in a two-dimensional problem is common in building physics and heat exchange in general. Both numerical and analytical methods can be used to obtain a solution. Here a method of initial functions, the basics of which were given by W.Z. Vlasov i A.Y. Lur’e were adopted. Originally MIF was used for analysis of the loads of a flat elastic medium. Since then it was used for solving concrete beams, plates and composite materials problems. Polynomial half-reverse solutions are used in the theory of a continuous medium. Here solutions were obtained by direct method. As a result, polynomial forms of the considered temperature field were obtained. The Cartesian coordinate system and rectangular shape of the plate were assumed. The governing are the Fourier equation in steady state . Boundary conditions in the form of temperature (τ(x),t(y)) or/and flux (p(x), q(y)) can be provided. The solution T(x, y) were assumed in the form of an infinite power series developed in relation to the variable y with coefficients Cn depending on x. The assumed solution were substituted into Fourier equation and after expanding into Taylor series the boundary condition for y = 0 and y=h were taken into account. Form this condition a coefficients Cn can be calculated and therefore a closed solution for temperature field in plate.

show abstract

Section: Formulation Of Two Dimensional Temperature Problemmentioning

confidence: 99%

Heat transport solutions in rectangular shields using harmonic polynomials.

Owczarek

2019

MATEC Web Conf.

View full text Add to dashboard Cite

show abstract

“…where d′ is the concrete layer thickness necessary to maintain the bond between concrete and steel. Each side of the tension reinforcement is assumed to provide a concrete thickness of not less than the cover provided to satisfy the bond requirement [19]. Block replacement zone, RZ 2 can be expressed by…”

Section: Rcb With Rcai With Different Block Replacement Zones (Brz)mentioning

confidence: 99%

Performance of Reinforced Concrete Beam with Differently Positioned Replacement Zones of Block Infill under Low Impact Loads

et al. 2017

View full text Add to dashboard Cite

This paper reveals a study performed on reinforced concrete with artificial aggregate concrete block infill composite beams to innovate a lightweight reinforced concrete utilizing polyethylene (PE) waste materials, such as waste plastic bags. Six beam specimens of normal reinforced concrete (NRC) and different block infill replacement zone positions RCAI (RZ 1) beams containing 100% MAPEA with 50, 95, and 1,000 mm width, height, and length, respectively, were provided for the block infill, whereas RCAI (RZ 2) with different block infill positions containing a 100% MAPEA with 50, 115, and 1000 mm width, height, and length were provided and tested under low impact load. The steel impactor with blunt nose dropped at 0.6 m height which equivalent to 3.5 m/s. The behaviors of the beams were studied relative to the impact force-time and displacement-time histories, the flexural/ bending cracks, and the impact failure. Results show that the overall failure modes of all the beam specimens were successfully recorded. In addition, the residual displacements of the RZ 2 was almost same than those of the RZ 1 and the significantly lower than those of the NRC. In the reinforced concrete beams, less stressed concrete near the neutral axis can be replaced by certain light weight material like waste plastic bags as modified artificial polyethylene aggregates to serve as an artificial aggregate.

show abstract

“…Kovalenko et al [40] and Kovalenko and Shulyakovskaya [41] developed a method for creating precise results for a half strip (rectangle) in the form of sequence in Papkovich-Fadle eigenfunctions based on the MIFs. To analyse reinforced concrete brick-flled composite beams, the MIF is used by Patel et al [42]. For this, they devised problems based on equations of the MIFs.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Isotropic Homogeneous Beams Using the Method of Initial Functions and Comparison with Classical Beam Theories and FEM

Namdeo,

Dubey,

Dorji

2023

Complexity

View full text Add to dashboard Cite

The main aim of this study is the dynamic analysis of isotropic homogeneous beams using the method of initial functions (MIFs) and comparison with classical beam theories and FEM. Also, this research employs the state space methodology, with a special emphasis on isotropy, to analyse simply supported beam systems. A mathematical model for the dynamic response of beams is constructed using the method of initial functions. The novelty of this study lies in its approach to dynamic analysis, where isotropic homogeneous beams are explored without making assumptions, thus ensuring increased precision using the method of initial functions. Importantly, the approach remains free from restrictive assumptions and relies solely on mathematical formulations, yielding results superior to classical beam theories such as Euler–Bernoulli, Timoshenko, and Rayleigh beam theories. In this work, the application of MIFs of various orders (4th, 6th, 8th, and 10th) to calculate natural frequencies is explored, enabling a thorough examination of the beam’s dynamic characteristics. In addition, parameters such as normal stresses, shear stresses, and deflections in different directions are considered to provide a comprehensive understanding of beam behaviour. To validate the findings, a detailed comparison with a finite element method (FEM) is conducted, achieving excellent agreement between the analytical results and FEM solutions. Furthermore, the influence of Poisson’s ratio (μ) on natural frequencies is investigated by varying its value from 0.18 to 0.30. The research also explores the deviation of plane stress values of the beam section from those estimated using the FEM for the corresponding components.

show abstract

Analysis of RC Brick Filled Composite Beams using MIF

Cited by 15 publications

References 3 publications

Heat transport solutions in rectangular shields using harmonic polynomials.

Heat transport solutions in rectangular shields using harmonic polynomials.

Performance of Reinforced Concrete Beam with Differently Positioned Replacement Zones of Block Infill under Low Impact Loads

Dynamic Analysis of Isotropic Homogeneous Beams Using the Method of Initial Functions and Comparison with Classical Beam Theories and FEM

Contact Info

Product

Resources

About