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Related Concept Videos

Unsymmetric Loading of Thin-Walled Members: Problem Solving01:07

Unsymmetric Loading of Thin-Walled Members: Problem Solving

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The shear center of a channel section with uniform thickness, height, and width, is determined by computing the shear force in the member and calculating the moments of inertia of the sections.
To compute the shear forces, find the shear flow at a specific distance from the endpoint using the vertical shear and the moment of inertia values. The total shear force on the flange is calculated by integrating the shear flow from one end of the flange to the other.
Next, calculate the moments of...
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Stresses under Combined Loadings01:23

Stresses under Combined Loadings

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When analyzing a bent tube with a circular cross-section subjected to multiple forces, it is crucial to determine the stress distribution in order to maintain structural integrity under varied load conditions.
The process begins by slicing the tube at critical points and analyzing the internal forces and stress components at these sections, focusing on the centroid. Normal stresses, generated by axial forces and bending moments, are either compressive or tensile and vary across the section from...
384
Principal Stresses: Problem Solving01:15

Principal Stresses: Problem Solving

481
When analyzing two planes intersecting at right angles under the influence of shearing, tensile, and compressive stresses, it is essential to identify principal planes, maximum shearing stress, and principal stresses. To find the principal planes, apply a formula that equates them to twice the shearing stress divided by the difference between tensile and compressive stresses.
481
Shearing Stresses in a Beam: Problem Solving01:14

Shearing Stresses in a Beam: Problem Solving

534
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
534
Distribution of Stresses in a Narrow Rectangular Beam01:11

Distribution of Stresses in a Narrow Rectangular Beam

437
In studying beam stress distribution, examining an elemental section is essential. To determine the average shearing stress on this face, the calculated shear is divided by the surface area. Importantly, shearing stresses on the beam's transverse and horizontal planes mirror each other, indicating a consistent stress distribution along the upper region of the beam. Notably, shearing stresses are absent at the beam's upper and lower surfaces due to the absence of applied forces in these...
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Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

431
As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
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Updated: Dec 24, 2025

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
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Forecasting shear stress parameters in rectangular channels using new soft computing methods.

Zohreh Sheikh Khozani1,2, Saeid Sheikhi3, Wan Hanna Melini Wan Mohtar2

  • 1Institute of Structural Mechanics, Bauhaus Universität Weimar, Weimar, Germany.

Plos One
|April 10, 2020
PubMed
Summary
This summary is machine-generated.

Accurately predicting channel flow requires understanding shear stress. A new Modified Structure-Radial Basis Function (MS-RBF) model, outperforming Bayesian Regularized Neural Network and Radial Basis Function methods, enhances predictions of wall and bed shear stress.

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Area of Science:

  • Hydraulics and Fluid Mechanics
  • Computational Fluid Dynamics
  • Environmental Engineering

Background:

  • Shear stress is crucial for estimating channel velocity and discharge.
  • Wall shear force percentage (%SFw) improves shear stress estimations.
  • Accurate modeling of shear stress is vital for hydraulic engineering.

Purpose of the Study:

  • To predict %SFw, non-dimension wall shear stress, and non-dimension bed shear stress in smooth rectangular channels.
  • To compare the performance of Bayesian Regularized Neural Network (BRNN), Radial Basis Function (RBF), and Modified Structure-Radial Basis Function (MS-RBF) models.
  • To evaluate the superiority of the MS-RBF model against existing equations for trapezoidal channels and rectangular ducts.

Main Methods:

  • Utilized eight experimental datasets from smooth rectangular channels.
  • Developed and compared BRNN, RBF, and MS-RBF models for predicting %SFw, non-dimension wall shear stress, and non-dimension bed shear stress.
  • Assessed model performance using Root Mean Square Error (RMSE).

Main Results:

  • The MS-RBF model achieved superior performance with RMSE values of 3.073, 0.0366, and 0.0354 for %SFw, non-dimension wall shear stress, and non-dimension bed shear stress, respectively.
  • MS-RBF demonstrated better accuracy compared to BRNN and RBF models.
  • The MS-RBF model outperformed three other proposed equations for trapezoidal channels and rectangular ducts.

Conclusions:

  • The MS-RBF model is highly effective for predicting shear stress parameters in channels.
  • This study highlights the potential of advanced machine learning models in hydraulic engineering.
  • MS-RBF offers a more accurate alternative for shear stress estimation in various channel geometries.