Shear stress distribution in tapered I-beams: Analytical expression and finite element validation

Chockalingam, S.; Nithyadharan, M.; Pandurangan, Venkataraman

doi:10.1016/j.tws.2020.107152

Cited by 12 publications

(5 citation statements)

References 19 publications

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“…The taper ratio has been found to significantly control the buckling stress where the buckling stress ratio drops as the taper ratio increases as previously proved (EN 1993(EN -1-1, 2005. It is agreed (Chockalingam et al, 2020) where the shear stress distribution in tapered section differs accordingly due to the influence of inclined flange normal forces that results in a shear flow into the Web. The maximum shear stress in the model proposed by (Vu-Quoc and Leger, 1992) over predicts as it does not account for the component of sectional shear force resisted by the inclined flange normal forces.…”

Section: Effect Of Tapering Ratiomentioning

confidence: 89%

Parametrical analysis of the tapered steel section with elliptical perforation: shear behaviour effects

De’nan

Hashim

Sua

2022

WJE

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Purpose With the vast advancement of structural steel properties over the recent decades, structural steel has become the dominate material for the construction of bridges, stadiums, factories and high rise buildings. This paper aims to present the study of structural behaviour and efficiency of tapered steel section with elliptical perforation under shear loading conditions. Design/methodology/approach The effect of various elliptical perforation configurations such as tapering ratio, perforation size, perforation orientation and perforation layout on the shear behaviour of tapered steel section has been investigated by using finite element method. A total of 112 models are simulated via LUSAS software. Findings It has been found that the most efficient model is the tapered steel section with tapering ratio of 0.3 and vertical elliptical perforation of 0.2 times the section depths which are arranged in Layout 3. The most efficient model has a shear efficiency of 1,094.35 kN, which is 4.12% less than the tapered steel section without perforation, but it could achieve a 0.32% of weight reduction. Originality/value The smaller tapering ratio and perforation size contributed to the higher shear buckling capacity and efficiency for the elliptical perforated tapered steel section.

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Section: Effect Of Tapering Ratiomentioning

confidence: 89%

Parametrical analysis of the tapered steel section with elliptical perforation: shear behaviour effects

De’nan

Hashim

Sua

2022

WJE

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“…Advance manufacturing overcomes the difficulties to fabricate non-prismatic beams with complex crosssections for optimized design. A tapered beam is very preferable to the designer because of its cost-effective and material-saving properties [10]. In tapered beams, the cross-sectional geometry is continuously varying along the length, based on the bending moment distributions [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series

Hossain¹,

Lellep²

2022

Eng. Res. Express

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In the study, the Maclaurin series technique is presented to analyse the vibration of cracked tapered double nanobeams. The equation of motion is derived from the Euler-Bernoulli beam theory based on the Hamiltonian principle and Eringen's nonlocal theory of elasticity. The double-nanobeam system consists of two parallel nanobeams attached by a Winkler elastic layer. Both beams are identical and their widths vary along the x-axis. A single crack is considered at the upper beam of the system. The mechanical behaviour of cracked cross-sections is simulated by the local stiffness model. According to the model, the cracked double-beam system is divided into two intact segments. A numerical investigation is carried out to scrutinize the effects of nonlocal parameters, crack severity, taper ratio, and spring constant on the vibration of the double nanobeam. The results reveal that the effects of crack depth, crack location, nonlocal parameters, taper ratio, and spring constant influence the natural frequency and dynamic response of the system significantly. This study highlights that a crack at the upper beam influences the mode shape of the upper beam as well as the intact lower beam. Numerical results have been examined with the previously published works and found a good agreement with them.

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“…Subsequently, Bertolini and Taglialegne (2020) proposed a similar methodology to include taper in the width direction. Chockalingam et al (2020) derived the shear stress of I-beams tapered in the thickness and width directions. Also, Vilar et al (2021aVilar et al ( , 2021b recovered the 2D stress field of non-prismatic beams subject to generalized and partial cross-sectional loads, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…In general, classical beam models generalize the external load through the entire crosssection. This hypothesis, although not best representing surface forces and partial cross-sectional loads, is widely accepted in beam modeling approaches (Masjedi et al 2019;Weaver 2020a, b, 2022;Masjedi et al 2021;Doeva et al 2020aDoeva et al , b, 2021Doeva et al , 2022Balduzzi et al 2019;Bertolini et al 2019;Bertolini and Taglialegne 2020;Chockalingam et al 2020Chockalingam et al , 2021Vilar et al 2021a). Another issue not addressed in analytical laminated beam formulations is for cases where the stiffness distribution is different from the transverse and axial load distributions, which gives rise to non-classical transverse stresses.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stress recovery of laminated non-prismatic beams under layerwise traction and body forces

Vilar

Hadjiloizi

Masjedi

2022

Int J Mech Mater Des

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Emerging manufacturing technologies, including 3D printing and additive layer manufacturing, offer scope for making slender heterogeneous structures with complex geometry. Modern applications include tapered sandwich beams employed in the aeronautical industry, wind turbine blades and concrete beams used in construction. It is noteworthy that state-of-the-art closed form solutions for stresses are often excessively simple to be representative of real laminated tapered beams. For example, centroidal variation with respect to the neutral axis is neglected, and the transverse direct stress component is disregarded. Also, non-classical terms arise due to interactions between stiffness and external load distributions. Another drawback is that the external load is assumed to react uniformly through the cross-section in classical beam formulations, which is an inaccurate assumption for slender structures loaded on only a sub-section of the entire cross-section. To address these limitations, a simple and efficient yet accurate analytical stress recovery method is presented for laminated non-prismatic beams with arbitrary cross-sectional shapes under layerwise body forces and traction loads. Moreover, closed-form solutions are deduced for rectangular cross-sections. The proposed method invokes Cauchy stress equilibrium followed by implementing appropriate interfacial boundary conditions. The main novelties comprise the 2D transverse stress field recovery considering centroidal variation with respect to the neutral axis, application of layerwise external loads, and consideration of effects where stiffness and external load distributions differ. A state of plane stress under small linear-elastic strains is assumed, for cases where beam thickness taper is restricted to $$15^{\circ }$$ 15 ∘ . The model is validated by comparison with finite element analysis and relevant analytical formulations.

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Shear stress distribution in tapered I-beams: Analytical expression and finite element validation

Cited by 12 publications

References 19 publications

Parametrical analysis of the tapered steel section with elliptical perforation: shear behaviour effects

Parametrical analysis of the tapered steel section with elliptical perforation: shear behaviour effects

Analysis of free vibration of tapered cracked double nanobeams using Maclaurin series

Stress recovery of laminated non-prismatic beams under layerwise traction and body forces

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