The Experts below are selected from a list of 1893 Experts worldwide ranked by ideXlab platform

Man Zhou - One of the best experts on this subject based on the ideXlab platform.

  • distribution and properties of Shear Stress in elastic beams with variable cross section theoretical analysis and finite element modelling
    Ksce Journal of Civil Engineering, 2020
    Co-Authors: Man Zhou
    Abstract:

    It was found that additional Shear Stress arising from the bending moment should be involved in the formulation due to the effect of variable cross section, which is quite different from the conventional method of analysis for the prismatic members. This paper focuses on the analytical formulation, properties and distribution regularity of the Shear Stress for the elastic tapered beams with rectangular cross-section. Currently, an analytical expression for the Shear Stress in elastic tapered beams is derived theoretically based on the theory of elasticity. Most notably, it is strictly proved in mathematics that the additional Shear Stresses arising from bending moment are self-balanced which only change the distribution of Shear Stress in the section but will not affect the Shear Stress Resultant. This new finding will be beneficial to promoting the development and consummation of non-prismatic beam theory. The correctness of the theoretical formula have been verified through comparisons with finite element (FE) results of two groups with a total of 12 three-dimensional FE models. The validity of self-balanced properties of additional Shear Stress in tapered beams under pure bending is additionally verified by using Free Body Cuts in ABAQUS program.

G J Turvey - One of the best experts on this subject based on the ideXlab platform.

  • elastic small deflection analysis of annular sector mindlin plates
    International Journal of Mechanical Sciences, 1994
    Co-Authors: Harutoshi Kobayashi, G J Turvey
    Abstract:

    An analytical method is developed for the bending response of annular sector Mindlin plates with two radial edges simply supported, and exact solutions are presented in the form of Levy-type series. Several different boundary conditions on the two circular edges are considered, viz. simply supported-simply supported, clamped-clamped and free-free. Numerical results for the case of uniform loading are presented to indicate the effect of Shear deformation on the deflections and Stress Resultants at various points in the plate. Twisting Stress couple and transverse Shear Stress Resultant distributions along and near the edges of the plate are illustrated graphically, and the principal differences between the results predicted by Mindlin's plate theory and classical thin plate theory are discussed in detail. Results obtained with the present exact analysis may serve as references for approximate solutions and, especially, as a ‘Shear locking’ test for thick plate finite element analysis.

Harutoshi Kobayashi - One of the best experts on this subject based on the ideXlab platform.

  • elastic small deflection analysis of annular sector mindlin plates
    International Journal of Mechanical Sciences, 1994
    Co-Authors: Harutoshi Kobayashi, G J Turvey
    Abstract:

    An analytical method is developed for the bending response of annular sector Mindlin plates with two radial edges simply supported, and exact solutions are presented in the form of Levy-type series. Several different boundary conditions on the two circular edges are considered, viz. simply supported-simply supported, clamped-clamped and free-free. Numerical results for the case of uniform loading are presented to indicate the effect of Shear deformation on the deflections and Stress Resultants at various points in the plate. Twisting Stress couple and transverse Shear Stress Resultant distributions along and near the edges of the plate are illustrated graphically, and the principal differences between the results predicted by Mindlin's plate theory and classical thin plate theory are discussed in detail. Results obtained with the present exact analysis may serve as references for approximate solutions and, especially, as a ‘Shear locking’ test for thick plate finite element analysis.

Anthony M. Waas - One of the best experts on this subject based on the ideXlab platform.

  • Torsional buckling of thin-walled cylinders under circumferentially varying thermal loads
    2016
    Co-Authors: Kara M. Charles, Anthony M. Waas
    Abstract:

    Thin-walled cylinders, used in a variety of engineering applications, are often subjected to situations where the applied loading is not limited to a single loading type. The introduction of multiple loads alters the stability characteristics of the system in a manner that must be understood to maintain structural integrity and abide by safety regulations. The present study investigates the elastic buckling response of thin-walled cylindrical shells under a combination of torsional loads and circumferentially-varying thermal loads. Nomenclature E = Young’s modulus ν = Poisson’s ratio α = coefficient of thermal expansion L = axial length of cylinder a = radius of cylinder h = thickness of shell wall m = number of axial half sine waves n = number of circumferential full sine waves NX,Nθ = in-plane direct Stress Resultants NXθ = in-plane Shear Stress Resultant M = in-plane moment Resultants τ = torsional load w = out of plane displacement x = axial cylindrical coordinate θ = circumferential cylindrical coordinate r = radial cylindrical coordinate To = mean thermal load δ = maximum temperature difference ( ) q, = first derivative of quantity with respect to variable q I

Kara M. Charles - One of the best experts on this subject based on the ideXlab platform.

  • Torsional buckling of thin-walled cylinders under circumferentially varying thermal loads
    2016
    Co-Authors: Kara M. Charles, Anthony M. Waas
    Abstract:

    Thin-walled cylinders, used in a variety of engineering applications, are often subjected to situations where the applied loading is not limited to a single loading type. The introduction of multiple loads alters the stability characteristics of the system in a manner that must be understood to maintain structural integrity and abide by safety regulations. The present study investigates the elastic buckling response of thin-walled cylindrical shells under a combination of torsional loads and circumferentially-varying thermal loads. Nomenclature E = Young’s modulus ν = Poisson’s ratio α = coefficient of thermal expansion L = axial length of cylinder a = radius of cylinder h = thickness of shell wall m = number of axial half sine waves n = number of circumferential full sine waves NX,Nθ = in-plane direct Stress Resultants NXθ = in-plane Shear Stress Resultant M = in-plane moment Resultants τ = torsional load w = out of plane displacement x = axial cylindrical coordinate θ = circumferential cylindrical coordinate r = radial cylindrical coordinate To = mean thermal load δ = maximum temperature difference ( ) q, = first derivative of quantity with respect to variable q I