Stress recovery from one dimensional models for tapered bi-symmetric thin-walled I beams: Deficiencies in modern engineering tools and procedures

Balduzzi, Giuseppe; Hochreiner, Georg; Füssl, Josef

doi:10.1016/j.tws.2017.06.031

Cited by 24 publications

(25 citation statements)

References 23 publications

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“…The example is adapted from [9], which employs a planar non-prismatic beam model [8] with enhanced stress recovery, based on a rigorous generalisation of Jourawsky's theory. Solving this problem with the UF-SLE model requires two input meshes as shown in Figure 5.…”

Section: Tapered I-beammentioning

confidence: 99%

“…A 3D FE analysis, performed with commercial finite element software ANSYS, is used as a reference for verification of the proposed UF-SLE model. Structured meshes of 400 × 3 × 20 and 400 × 50 × 4 elements, as given in [9], are adopted for the flanges and web, respectively, resulting in a global count of 64,000 SOLID186 (3D 20-noded) elements with 1,038,687 DOFs. In both the UF-SLE and 3D FE models, the applied shear force at the beam ends are modelled as vertical forces per unit area uniformly distributed over the web section.…”

Section: Tapered I-beammentioning

confidence: 99%

“…Trinh and Gan [7] presented an energy based FE method and derived new shape functions for a linearly tapered Timoshenko beam. Balduzzi et al [8] proposed a Timoshenko-like model for planar multilayer non-prismatic beams and solved the problem of the recovery of stress distribution within the cross-section of bi-symmetric tapered steel beams [9].…”

Section: Introductionmentioning

confidence: 99%

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Efficient modelling of beam-like structures with general non-prismatic, curved geometry

Patni

Minera

Pirrera

2020

Computers & Structures

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The analysis of three-dimensional (3D) stress states can be complex and computationally expensive, especially when large deflections cause a nonlinear structural response. Slender structures are conventionally modelled as one-dimensional beams but even these rather simpler analyses can become complicated, e.g. for variable cross-sections and planforms (i.e. non-prismatic curved beams). In this paper, we present an alternative procedure based on the recently developed Unified Formulation in which the kinematic description of a beam builds upon two shape functions, one for the beam's axis, the other for its cross-section. This approach predicts 3D displacement and stress fields accurately and is computationally efficient in comparison with 3D finite elements. However, current modelling capabilities are limited to the use of prismatic elements. As a means for further applicability, we propose a method to create beam elements with variable planform and variable cross-section, i.e. of general shape. This method employs an additional set of shape functions which describes the geometry of the structure exactly. These functions are different from those used for describing the kinematics and provide local curvilinear basis vectors upon which 3D Jacobian transformation matrices are produced to define non-prismatic elements. The model proposed is benchmarked against 3D finite element analyses, as well as analytical and experimental results available in the literature. Significant computational efficiency gains over 3D finite elements are observed for similar levels of accuracy, for both linear and geometrically nonlinear analyses.

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Section: Tapered I-beammentioning

confidence: 99%

Section: Tapered I-beammentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Efficient modelling of beam-like structures with general non-prismatic, curved geometry

Patni

Minera

Pirrera

2020

Computers & Structures

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“…In consequence, circumferential shear stresses had linear components evoked by the axial force and parabolic ones caused by the moment and shear. Balduzzi et al (2017) demonstrated several approaches to calculating cross sections stress distribution within tapered thin-walled I-beams. The method proposed by the authors was distinguished by the difference between the calculated and actual values below 5% in all considered cases.…”

Section: Introductionmentioning

confidence: 99%

Three-point bending of an expanded-tapered beam with consideration of the shear effect

Magnucki¹,

Lewiński²,

Magnucka‐Blandzi³

et al. 2020

Journal of Theoretical and Applied Mechanics

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The paper is devoted to an expanded-tapered beam of rectangular cross section subjected to three-point bending. The analytical model of the beam is formulated with consideration of a non-linear hypothesis of the cross section deformation. The problem of shear stress distribution in the beam is analysed based on the above mentioned hypothesis. Moreover, a numerical FEM model (SolidWorks) is developed. Examplary computations have been carried out based on the analytical and numerical models.

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“…It is well-known in literature that beams with variable cross sections show a significantly different behaviour in contrast to prismatic beams. Variable cross-section beams exhibit a non-trivial stress distribution in particular the shear stresses evoked are counter intuitive and hardly predictable by the classical theory for prismatic beams [5,6].…”

Section: Introductionmentioning

confidence: 99%

Stresses in constant tapered beams with thin-walled rectangular and circular cross sections

Bertolini

Eder

Taglialegne

et al. 2019

Thin-Walled Structures

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Tapered beams are widely employed in efficient flexure dominated structures. In this paper, analytical expressions are derived for the six Cauchy stress components in untwisted, straight, thin-walled beams with rectangular and circular cross sections characterised by constant taper and subjected to three cross-section forces. These expressions pertain to homogeneous, isotropic, linear elastic materials and small strains. In fact, taper not only alters stress magnitudes and distributions but also evokes stress components, which are zero in prismatic beams. A parametric study shows that increasing taper decreases the von Mises stress based fatigue life, suggesting that step-wise prismatic approximations entail non-conservative designs.

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Stress recovery from one dimensional models for tapered bi-symmetric thin-walled I beams: Deficiencies in modern engineering tools and procedures

Cited by 24 publications

References 23 publications

Efficient modelling of beam-like structures with general non-prismatic, curved geometry

Efficient modelling of beam-like structures with general non-prismatic, curved geometry

Three-point bending of an expanded-tapered beam with consideration of the shear effect

Stresses in constant tapered beams with thin-walled rectangular and circular cross sections

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