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Related Concept Videos

Adjusting a Traverse01:12

Adjusting a Traverse

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In the site survey of a four-sided traverse, internal angles are essential to ensure geometric accuracy. The survey revealed that the sum of the measured internal angles was 359 degrees and 48 minutes, which is 12 minutes less than the expected 360 degrees. This discrepancy signals an error likely arising from measurement inaccuracies during the fieldwork.To rectify this error, the adjustment process involved distributing the 12-minute shortfall equally across the four internal angles. By...
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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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Unsymmetric Loading of Thin-Walled Members01:23

Unsymmetric Loading of Thin-Walled Members

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Thin-walled members with non-symmetrical cross-sections are vital to engineering structures, offering material efficiency and structural integrity. However, unsymmetrical loading on these members leads to complex stress distributions, resulting in simultaneous bending and twisting can cause deformation or structural failure. The interaction between bending and twisting requires detailed analysis to ensure structural resilience.
The concept of the shear center is crucial in countering the...
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Unsymmetric Bending - Angle of Neutral Axis01:15

Unsymmetric Bending - Angle of Neutral Axis

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Unsymmetrical bending occurs when a structural member is subjected to bending moments in a plane that does not align with the member's principal axes. This scenario typically arises in beams and other structural components when loads are applied at non-ideal angles, introducing complexities in stress analysis.
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal...
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Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

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When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
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Unsymmetric Bending01:18

Unsymmetric Bending

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Unsymmetrical bending occurs when the bending moment applied to a structural member does not align with its principal axis. This misalignment leads to complex stress distributions and deflection patterns that differ from those in symmetrical bending, and are essential for designing structures to withstand different loading conditions. In unsymmetrical bending, the neutral axis—where stress is zero—does not necessarily align with the geometric axes of the cross-section. The...
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Updated: Nov 5, 2025

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Subdomain Adaptation With Manifolds Discrepancy Alignment.

Pengfei Wei, Yiping Ke, Xinghua Qu

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    This study introduces transfer with manifolds discrepancy alignment (TMDA) to reduce local domain divergence in transfer learning by aligning subdomain distributions using manifold representations.

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    Area of Science:

    • Machine Learning
    • Artificial Intelligence
    • Computer Science

    Background:

    • Transfer learning aims to reduce domain divergence, but existing methods often overlook local subdomain differences.
    • Domains can comprise multiple subdomains with distinct divergence patterns, necessitating a localized approach.

    Purpose of the Study:

    • To propose a novel transfer learning framework that accounts for local subdomain divergence.
    • To introduce a method for aligning data distributions within local manifold representations across domains.

    Main Methods:

    • Representing subdomains using low-dimensional manifolds.
    • Developing manifold maximum mean discrepancy (M3D) to measure local distribution discrepancies.
    • Introducing transfer with manifolds discrepancy alignment (TMDA) to couple manifold discovery with M3D minimization.

    Main Results:

    • TMDA framework successfully instantiated for subspace learning (linear and nonlinear) and deep learning.
    • Experimental results demonstrate the efficacy of TMDA across various transfer learning tasks.

    Conclusions:

    • TMDA offers a promising approach for addressing local domain divergence in transfer learning.
    • Accounting for subdomain discrepancies via manifold alignment enhances transfer learning performance.