1,829,204 research outputs found
Analytical solutions of Reddy, Timoshenko and Bernoulli beam models: A comparative analysis
No full textThe purpose of this paper is to compare the generalized stress/strain and corresponding local quantities obtained from three classical beam models commonly used in the literature: the Euler–Bernoulli, Timoshenko (or first-order shear deformation), and Reddy (or third-order shear deformation) beam models. In particular, we present an analytical solution for the equations governing the Reddy beam model, which is typically solved numerically. By expressing the solutions of all three models in terms of constants with the same physical meaning, we are able to make a direct comparison between them and identify the additional contributions of the higher-order models. We also compare the results with approximate solutions and find that while they provide satisfactory solutions for generalized displacement, they can lead to a significant underestimation of the stress field, with percentage errors that are greater than tolerable for practical purposes. This study provides new insights into the behavior of different beam models and their limitations in engineering applications
Nina Reddy
Get PDFOn April 12, 2021 students in the class AMS 200 conducted an oral history interview with activist Nina Reddy. In the interview Ms. Reddy discussed her activist work and her support for the AAPI (Asian Americans and Pacific Islanders) community through the NAPAWF organization
Shortening Effect on Buckling Behavior of Reddy Plates and Prismatic Plate Structures
No full textA closed-form solution based on the Reddy third-order shear deformation plate theory is proposed for the buckling
of both flat and stiffened plates, with simply supported on two opposite edges. The effect of the non-linear straindisplacement
terms, usually neglected under the von Kármán hypothesis, on the buckling of thick plates is
investigated, and the equations governing the critical behaviour considering the full Green-Lagrange strain tensor
and the second Piola-Kirchhoff stress tensor are derived using the principle of minimum potential energy. The
general Levy-type approach is employed, and the accuracy and effectiveness of the proposed formulation is
validated through direct comparison with analytical and numerical results available in the literature. The parametric
analyses performed for different geometrical ratios show that the von Kármán hypothesis holds only for thin flat
plates whereas it can significantly overestimate buckling loads for stiffened plates, for which the buckling mode
entails comparable in-plane and out-of-plane displacemen
Vijay Reddy: 20 years of pushing boundaries
Get PDFIn high school, Vijay Reddy faced a trigonometry problem that she struggled to solve. She remembers spending hours building models out of ice-cream sticks until she cracked the problem. With parents and a grandfather who were deeply committed to education, she already saw problems as challenges to be overcome, a perspective that has driven her throughout her career. Spanning her 20-year career at the HSRC, Reddy spoke to Andrea Teagle about her contributions to studies in education, skills planning and the public relationship with science.
Appeal documents relating to McColgan v. Reddy, 1864
No full textTwo appeal documents, one written by James Reddy, in the case of McColgan v. Reddy, 1864
Sriya Reddy Interview
No full textSriya Reddy (Class of 2021) was interviewed by Sarah Khoja in the Oral History Studio of Fondren Library at Southern Methodist University on April 20, 2022. Ms. Reddy was born in California and grew up in Plano, Texas. During her interview, she discusses her childhood, family, and experiences within the South Asian community growing up. She also talks about joining her high school newspaper as a junior and how that led to her discovering a passion for journalism. She enrolled at SMU intending to major in pre-med, while also keeping journalism an option. She talks about the culture shock she experienced at the start of her time at SMU, and how involvement with various organizations such as Connect and the Indian Student Association helped her adjust. While at SMU, Ms. Reddy was involved with the Voices of SMU Oral History Project and studied abroad at Oxford. She worked for the Daily Campus student newspaper, and discusses her memories of breaking the news that SMU was closing campus due to the COVID-19 pandemic and of interviewing students who were victims of sexual assault while writing about the Title IX office. Ms. Reddy graduated with degrees in journalism, corporate communications, public affairs, and history in 2021, and shortly thereafter was hired as a journalist for the Dallas Morning News. At the time of the interview she still worked for the DMN, covering South Dallas as a Report for America fellow
A closed-form solution for accurate stress analysis of functionally graded Reddy beams
No full textIn the present paper, a closed-form solution of the Reddy beam theory is developed and applied, for the first time, to investigate the bending behavior of straight and curved functionally graded (FG) beams, where the material properties change continuously from one surface to another in the thickness (or height) direction. The obtained closed-form solution, sum of polynomial and exponential terms, enriches the polynomial displacement field usually proposed in a finite element (FE) approach, with effects also on the derived strain and stress quantities, particularly relevant in FG beams. The adopted beam model is exploited to satisfy parabolic variation of the shear stress distribution along the thickness direction and does not require the use of shear correction factors, particularly difficult to obtain when the beam is inhomogeneous in the thickness direction. Comparative studies are carried-out to establish the robustness and the performance of the present model, and numerical results are presented and discussed in detail to investigate the effects of volume fraction index, radius of curvature, length-to-height ratio, and boundary conditions on the stress response of FG beams. The obtained results can serve as benchmarks for future research
An enhanced Hencky bar-chain model for bending, buckling and vibration analyses of Reddy beams
Get PDFThis paper is concerned with the development of the so-called Hencky bar-chain model for the bending, buckling, and vibration analyses of non-uniform thick beams. The conventional Hencky bar chain model comprises a finite number of rigid segments connected by frictionless hinges and elastic rotational springs and lumped masses at the joints. The key contribution of this paper is to enhance the Hencky bar chain model for the analysis of thick beams through the adoption of a third-order shear deformable (or Reddy) beam theory to allow for the effect of transverse shear deformation. The paper also shows the validity of the analogies between the enhanced Hencky bar-chain model and the central finite difference method for solving partial differential equation systems that have been observed for the Euler-Bernoulli beam model
Karthik-reddy-bs/Rapid-PV-model: Initial Release
No full text<p>This is the first published version of the data and the python scripts.</p>
<p><strong>Full Changelog</strong>: <a href="https://github.com/Karthik-reddy-bs/Rapid-PV-model/compare/Preview...v1.0">https://github.com/Karthik-reddy-bs/Rapid-PV-model/compare/Preview...v1.0</a></p>
An Improved Formulation and Analysis of Reddy Beam Model for Framed Structures
No full textA structural analysis of framed structures using the finite element method considering both the Bernoulli-Euler and the Timoshenko beam theories can be performed adopting cubic interpolation functions that yield analytical solutions for the displacements. However, these theories may not provide stress results with sufficient accuracy. In such cases, it is necessary to employ higher order beam formulations, that may require a high level of discretization. Therefore, this study proposes an enhanced Reddy beam element, obtained by considering interpolation functions calculated directly from the solution of the differential equation system. This solution minimizes the impact of structural discretization on the analysis, and framed structures can be effectively modeled considering the minimum number of elements required to describe the geometry. The results obtained by the proposed formulation were compared against classical beam theories and the Reddy beam model adopting conventional shape functions, showing the efficacy of the proposed element in simulating the elastic behavior of framed structures in a FEM-like procedure
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