Transverse shear stress distribution through thickness near an internal part-through elliptical hole in a stretched plate

A structural beam which is subjected to shear forces acting perpendicularly to its longitudinal axis will experience longitudinal and transverse shear stresses. In beams where failure in the transverse direction is plausible, it is desirable to maintain a constant transverse shear stress over the beam cross-section to avoid stress concentrations and to use the least amount of material. A numerical approach to the inverse problem of solving for a beam cross-section with a constant transverse shear stress distribution was investigated in this study using Microsoft Excel’s Solver and Matlab. The efficiency and shape of the developed cross-section were dependent on the number of elements used to discretize the cross-section. As the number of elements approached infinity, the shape of the cross-section became infinitely thin at the top and infinitely wide at the neutral axis, while also approaching an efficiency of 100%. It is therefore determined that this is an ill-posed inverse problem and no such perfect cross-section exists.

Download Full-text

Evaluation of Wall Shear Stress Distribution in Upward Slug Flow

10.26678/abcm.encit2016.cit2016-0032 ◽

2016 ◽

Author(s):

jonathan nobrega ◽

Eugênio Spanó Rosa

Keyword(s):

Shear Stress ◽

Stress Distribution ◽

Wall Shear Stress ◽

Slug Flow ◽

Shear Stress Distribution ◽

Wall Shear Stress Distribution ◽

Wall Shear

Download Full-text

Determination of the transverse shear stress in layered composites

Industrial laboratory Diagnostics of materials ◽

10.26896/1028-6861-2020-86-2-44-53 ◽

2020 ◽

Vol 86 (2) ◽

pp. 44-53

Author(s):

Yu. I. Dudarkov ◽

M. V. Limonin

Keyword(s):

Shear Stress ◽

Transverse Shear ◽

Composite Beam ◽

Layered Composite ◽

Equivalent Model ◽

Shear Stresses ◽

Transverse Shear Stress ◽

Layered Composites ◽

Laminate Composites ◽

Transverse Shear Stresses

An engineering approach to estimation of the transverse shear stresses in layered composites is developed. The technique is based on the well-known D. I. Zhuravsky equation for shear stresses in an isotropic beam upon transverse bending. In general, application of this equation to a composite beam is incorrect due to the heterogeneity of the composite structure. According to the proposed method, at the first stage of its implementation, a transition to the equivalent model of a homogeneous beam is made, for which the Zhuravsky formula is valid. The transition is carried out by changing the shape of the cross section of the beam, provided that the bending stiffness and generalized elastic modulus remain the same. The calculated shear stresses in the equivalent beam are then converted to the stress values in the original composite beam from the equilibrium condition. The main equations and definitions of the method as well as the analytical equation for estimation of the transverse shear stress in a composite beam are presented. The method is verified by comparing the analytical solution and the results of the numerical solution of the problem by finite element method (FEM). It is shown that laminate stacking sequence has a significant impact both on the character and on the value of the transverse shear stress distribution. The limits of the applicability of the developed technique attributed to the conditions of the validity of the hypothesis of straight normal are considered. It is noted that under this hypothesis the shear stresses do not depend on the layer shear modulus, which explains the absence of this parameter in the obtained equation. The classical theory of laminate composites is based on the similar assumptions, which gives ground to use this equation for an approximate estimation of the transverse shear stresses in in a layered composite package.

Download Full-text

Assessing Machine Learning versus a Mathematical Model to Estimate the Transverse Shear Stress Distribution in a Rectangular Channel

Mathematics ◽

10.3390/math9060596 ◽

2021 ◽

Vol 9 (6) ◽

pp. 596

Author(s):

Babak Lashkar-Ara ◽

Niloofar Kalantari ◽

Zohreh Sheikh Khozani ◽

Amir Mosavi

Keyword(s):

Shear Stress ◽

Stress Distribution ◽

Fuzzy Inference ◽

Rectangular Channel ◽

Tsallis Entropy ◽

Shear Stress Distribution ◽

Data Series ◽

Shear Stresses ◽

Inference System ◽

Aspect Ratios

One of the most important subjects of hydraulic engineering is the reliable estimation of the transverse distribution in the rectangular channel of bed and wall shear stresses. This study makes use of the Tsallis entropy, genetic programming (GP) and adaptive neuro-fuzzy inference system (ANFIS) methods to assess the shear stress distribution (SSD) in the rectangular channel. To evaluate the results of the Tsallis entropy, GP and ANFIS models, laboratory observations were used in which shear stress was measured using an optimized Preston tube. This is then used to measure the SSD in various aspect ratios in the rectangular channel. To investigate the shear stress percentage, 10 data series with a total of 112 different data for were used. The results of the sensitivity analysis show that the most influential parameter for the SSD in smooth rectangular channel is the dimensionless parameter B/H, Where the transverse coordinate is B, and the flow depth is H. With the parameters (b/B), (B/H) for the bed and (z/H), (B/H) for the wall as inputs, the modeling of the GP was better than the other one. Based on the analysis, it can be concluded that the use of GP and ANFIS algorithms is more effective in estimating shear stress in smooth rectangular channels than the Tsallis entropy-based equations.

Download Full-text