The tale of shear coefficients in Timoshenko-Ehrenfest beam theory: 130 years of progress
DOI10.1007/s11012-022-01618-1zbMath1517.74057OpenAlexW4312063053MaRDI QIDQ6162983
Isaac Elishakoff, S. Ali Faghidian
Publication date: 26 June 2023
Published in: Meccanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11012-022-01618-1
Saint-Venant solutionfirst-order shear deformable beam theoryrectangular prismatic beamTimoshenko-Ehrenfest theory
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02)
Cites Work
- Fractional visco-elastic Timoshenko beam from elastic Euler-Bernoulli beam
- A new displacement-based framework for non-local Timoshenko beams
- Static response bounds of Timoshenko beams with spatially varying interval uncertainties
- On the shear coefficient in beam bending
- Much ado about shear correction factors in Timoshenko beam theory
- Analytical, three-dimensional elasticity solutions to some plate problems, and some observations on Mindlin's plate theory
- Generalized beam theory applied to shear stiffness
- Shear correction factors and an energy-consistent beam theory
- On the shear deformation coefficient in beam theory
- On non-linear flexure of beams based on non-local elasticity theory
- From the Euler-Bernoulli beam to the Timoshenko one through a sequence of Reddy-type shear deformable beam models of increasing order
- On the moving load problem in beam structures equipped with tuned mass dampers
- Vibrations of hollow elastic bodies
- Analytical and meshless numerical approaches to unified gradient elasticity theory
- On the analytical and meshless numerical approaches to mixture stress gradient functionally graded nano-bar in tension
- A mixed variational framework for higher-order unified gradient elasticity
- Plates and Shells for Smart Structures
- Finite Element Analysis of Structures Through Unified Formulation
- JP Den Hartog about SP Timoshenko: Fifty Years Later
- A Simple Higher-Order Theory for Laminated Composite Plates
- Shear Coefficients for Timoshenko Beam Theory
- Classical and Generalized Models of Elastic Rods
- A second order beam theory
- Timoshenko’s Shear Coefficient From a Beam Subjected to Gravity Loading
- Dynamic stiffness vibration analysis using a high-order beam model
- Who developed the so-called Timoshenko beam theory?
- The Shear Coefficient in Timoshenko’s Beam Theory
- Thickness-Shear and Flexural Vibrations of a Circular Disk
- Shear correction factors in Timoshenko's beam theory for arbitrary shaped cross-sections
- A cantilever beam analysis with flexomagnetic effect
- Random vibration mitigation of beams via tuned mass dampers with spring inertia effects
- Stepan Prokofievich Timoshenko and America
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