Structural analysis of non-prismatic beams: Critical issues, accurate stress recovery, and analytical definition of the Finite Element (FE) stiffness matrix

V Mercuri, G Balduzzi, D Asprone, F Auricchio - Engineering Structures, 2020 - Elsevier
Non-prismatic beams are widely employed in strategic structures like bridges and sport
arenas, requiring accurate analyses for a reliable and effective design. Unfortunately …

Timoshenko beam formulation for in-plane behaviour of tapered monosymmetric I-beams: Analytical solution and exact stiffness matrix

SN Chockalingam, V Pandurangan… - Thin-Walled Structures, 2021 - Elsevier
The presence of curved centroidal axis in tapered monosymmetric I-beams results in
coupling between the axial and flexural behaviours. In this paper, an extended Timoshenko …

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

P Bertolini, MA Eder, L Taglialegne, PS Valvo - Thin-Walled Structures, 2019 - Elsevier
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 …

[HTML][HTML] Stress analysis of generally asymmetric non-prismatic beams subject to arbitrary loads

MMS Vilar, DA Hadjiloizi, PK Masjedi… - European Journal of …, 2021 - Elsevier
Non-prismatic beams are widely employed in several engineering fields, eg, wind turbines,
rotor blades, aircraft wings, and arched bridges. While analytical solutions for variable cross …

A new practical method for the flexural analysis of thin-walled symmetric cross-section box girders considering shear effect

M Zhou, Y Zhang, P Lin, Z Zhang - Thin-Walled Structures, 2022 - Elsevier
This study proposes a new analytical flexure theory that considers the shear deformation of
the web and flange of a thin-walled box girder. Starting with the relationship between the …

Analytical evaluation of stresses and strains in inhomogeneous non-prismatic beams undergoing large deflections

G Migliaccio - Acta Mechanica, 2022 - Springer
Material and geometric characteristics of beamlike elements for engineering applications,
such as inhomogeneity, cross-sectional taper and initial twist, induce stress and strain …

A new shear formula for tapered beamlike solids undergoing large displacements

G Migliaccio, G Ruta, R Barsotti, S Bennati - Meccanica, 2022 - Springer
In many engineering applications it is often necessary to determine the flow of shear
stresses in the cross-sections of beamlike bodies. Taking a cue from Jourawski's well-known …

The influence of an initial twisting on tapered beams undergoing large displacements

G Migliaccio, G Ruta - Meccanica, 2021 - Springer
The behaviour of pre-twisted and tapered beams (such as turbine or helicopter blades) is
characterized by stress distributions that may be quite different from those of the usual beam …

Analytical prediction of the cross-sectional shear flow in non-prismatic inhomogeneous beamlike solids

G Migliaccio - Thin-Walled Structures, 2023 - Elsevier
Non-prismatic beamlike elements are widespread in engineering applications.
Unfortunately, analytical methods commonly used for stress analyses in prismatic beams …

[HTML][HTML] Analytical interlaminar stresses of composite laminated beams with orthotropic tapered layers

MMS Vilar, PK Masjedi, DA Hadjiloizi, PM Weaver - Composite Structures, 2023 - Elsevier
Innovative manufacturing methodologies offer opportunity to fabricate tapered composite
laminates without layer terminations. However, the complex mechanical behaviour of …